%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM377+1.010 : TPTP v7.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n139.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:02:26 EST 2018
% Result : Unsatisfiable 3.18s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : None (Could not find formula named 20))
% Syntax : Number of formulae : 11812
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
? [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
( equal(succ(n0),n1)
& equal(succ(n1),n2)
& equal(succ(n2),n3)
& equal(succ(n3),n4)
& equal(succ(n4),n5)
& equal(succ(n5),n6)
& equal(succ(n6),n7)
& equal(succ(n7),n8)
& equal(succ(n8),n9)
& equal(succ(n9),n10)
& equal(succ(n10),n0)
& equal(pred(n0),n10)
& equal(pred(n1),n0)
& equal(pred(n2),n1)
& equal(pred(n3),n2)
& equal(pred(n4),n3)
& equal(pred(n5),n4)
& equal(pred(n6),n5)
& equal(pred(n7),n6)
& equal(pred(n8),n7)
& equal(pred(n9),n8)
& equal(pred(n10),n9)
& equal(sum(n0,n0),n0)
& equal(sum(n0,n1),n1)
& equal(sum(n0,n2),n2)
& equal(sum(n0,n3),n3)
& equal(sum(n0,n4),n4)
& equal(sum(n0,n5),n5)
& equal(sum(n0,n6),n6)
& equal(sum(n0,n7),n7)
& equal(sum(n0,n8),n8)
& equal(sum(n0,n9),n9)
& equal(sum(n0,n10),n10)
& equal(sum(n1,n0),n1)
& equal(sum(n1,n1),n2)
& equal(sum(n1,n2),n3)
& equal(sum(n1,n3),n4)
& equal(sum(n1,n4),n5)
& equal(sum(n1,n5),n6)
& equal(sum(n1,n6),n7)
& equal(sum(n1,n7),n8)
& equal(sum(n1,n8),n9)
& equal(sum(n1,n9),n10)
& equal(sum(n1,n10),n0)
& equal(sum(n2,n0),n2)
& equal(sum(n2,n1),n3)
& equal(sum(n2,n2),n4)
& equal(sum(n2,n3),n5)
& equal(sum(n2,n4),n6)
& equal(sum(n2,n5),n7)
& equal(sum(n2,n6),n8)
& equal(sum(n2,n7),n9)
& equal(sum(n2,n8),n10)
& equal(sum(n2,n9),n0)
& equal(sum(n2,n10),n1)
& equal(sum(n3,n0),n3)
& equal(sum(n3,n1),n4)
& equal(sum(n3,n2),n5)
& equal(sum(n3,n3),n6)
& equal(sum(n3,n4),n7)
& equal(sum(n3,n5),n8)
& equal(sum(n3,n6),n9)
& equal(sum(n3,n7),n10)
& equal(sum(n3,n8),n0)
& equal(sum(n3,n9),n1)
& equal(sum(n3,n10),n2)
& equal(sum(n4,n0),n4)
& equal(sum(n4,n1),n5)
& equal(sum(n4,n2),n6)
& equal(sum(n4,n3),n7)
& equal(sum(n4,n4),n8)
& equal(sum(n4,n5),n9)
& equal(sum(n4,n6),n10)
& equal(sum(n4,n7),n0)
& equal(sum(n4,n8),n1)
& equal(sum(n4,n9),n2)
& equal(sum(n4,n10),n3)
& equal(sum(n5,n0),n5)
& equal(sum(n5,n1),n6)
& equal(sum(n5,n2),n7)
& equal(sum(n5,n3),n8)
& equal(sum(n5,n4),n9)
& equal(sum(n5,n5),n10)
& equal(sum(n5,n6),n0)
& equal(sum(n5,n7),n1)
& equal(sum(n5,n8),n2)
& equal(sum(n5,n9),n3)
& equal(sum(n5,n10),n4)
& equal(sum(n6,n0),n6)
& equal(sum(n6,n1),n7)
& equal(sum(n6,n2),n8)
& equal(sum(n6,n3),n9)
& equal(sum(n6,n4),n10)
& equal(sum(n6,n5),n0)
& equal(sum(n6,n6),n1)
& equal(sum(n6,n7),n2)
& equal(sum(n6,n8),n3)
& equal(sum(n6,n9),n4)
& equal(sum(n6,n10),n5)
& equal(sum(n7,n0),n7)
& equal(sum(n7,n1),n8)
& equal(sum(n7,n2),n9)
& equal(sum(n7,n3),n10)
& equal(sum(n7,n4),n0)
& equal(sum(n7,n5),n1)
& equal(sum(n7,n6),n2)
& equal(sum(n7,n7),n3)
& equal(sum(n7,n8),n4)
& equal(sum(n7,n9),n5)
& equal(sum(n7,n10),n6)
& equal(sum(n8,n0),n8)
& equal(sum(n8,n1),n9)
& equal(sum(n8,n2),n10)
& equal(sum(n8,n3),n0)
& equal(sum(n8,n4),n1)
& equal(sum(n8,n5),n2)
& equal(sum(n8,n6),n3)
& equal(sum(n8,n7),n4)
& equal(sum(n8,n8),n5)
& equal(sum(n8,n9),n6)
& equal(sum(n8,n10),n7)
& equal(sum(n9,n0),n9)
& equal(sum(n9,n1),n10)
& equal(sum(n9,n2),n0)
& equal(sum(n9,n3),n1)
& equal(sum(n9,n4),n2)
& equal(sum(n9,n5),n3)
& equal(sum(n9,n6),n4)
& equal(sum(n9,n7),n5)
& equal(sum(n9,n8),n6)
& equal(sum(n9,n9),n7)
& equal(sum(n9,n10),n8)
& equal(sum(n10,n0),n10)
& equal(sum(n10,n1),n0)
& equal(sum(n10,n2),n1)
& equal(sum(n10,n3),n2)
& equal(sum(n10,n4),n3)
& equal(sum(n10,n5),n4)
& equal(sum(n10,n6),n5)
& equal(sum(n10,n7),n6)
& equal(sum(n10,n8),n7)
& equal(sum(n10,n9),n8)
& equal(sum(n10,n10),n9)
& ( equal(X1,n0)
| equal(X1,n1)
| equal(X1,n2)
| equal(X1,n3)
| equal(X1,n4)
| equal(X1,n5)
| equal(X1,n6)
| equal(X1,n7)
| equal(X1,n8)
| equal(X1,n9)
| equal(X1,n10) )
& ( equal(X2,n0)
| equal(X2,n1)
| equal(X2,n2)
| equal(X2,n3)
| equal(X2,n4)
| equal(X2,n5)
| equal(X2,n6)
| equal(X2,n7)
| equal(X2,n8)
| equal(X2,n9)
| equal(X2,n10) )
& equal(X3,sum(sum(pred(X1),succ(X2)),sum(pred(X2),succ(X1))))
& equal(X4,sum(sum(pred(X1),succ(X1)),sum(pred(X2),succ(X2))))
& equal(X5,sum(sum(pred(X3),succ(X4)),sum(pred(X4),succ(X3))))
& equal(X6,sum(sum(pred(X3),succ(X3)),sum(pred(X4),succ(X4))))
& equal(X7,sum(sum(pred(X5),succ(X6)),sum(pred(X6),succ(X5))))
& equal(X8,sum(sum(pred(X5),succ(X5)),sum(pred(X6),succ(X6))))
& equal(X9,sum(sum(pred(X7),succ(X8)),sum(pred(X8),succ(X7))))
& equal(X10,sum(sum(pred(X7),succ(X7)),sum(pred(X8),succ(X8))))
& equal(X11,sum(sum(pred(X9),succ(X10)),sum(pred(X10),succ(X9))))
& equal(X12,sum(sum(pred(X9),succ(X9)),sum(pred(X10),succ(X10))))
& equal(X13,sum(sum(pred(X11),succ(X12)),sum(pred(X12),succ(X11))))
& equal(X14,sum(sum(pred(X11),succ(X11)),sum(pred(X12),succ(X12))))
& equal(X15,sum(sum(pred(X13),succ(X14)),sum(pred(X14),succ(X13))))
& equal(X16,sum(sum(pred(X13),succ(X13)),sum(pred(X14),succ(X14))))
& equal(X17,sum(sum(pred(X15),succ(X16)),sum(pred(X16),succ(X15))))
& equal(X18,sum(sum(pred(X15),succ(X15)),sum(pred(X16),succ(X16))))
& equal(X19,sum(sum(pred(X17),succ(X18)),sum(pred(X18),succ(X17))))
& equal(X20,sum(sum(pred(X17),succ(X17)),sum(pred(X18),succ(X18))))
& equal(X21,sum(sum(pred(X19),succ(X20)),sum(pred(X20),succ(X19))))
& equal(X22,sum(sum(pred(X19),succ(X19)),sum(pred(X20),succ(X20))))
& ( ~ equal(X3,X4)
| ~ equal(X5,X6)
| ~ equal(X7,X8)
| ~ equal(X9,X10)
| ~ equal(X11,X12)
| ~ equal(X13,X14)
| ~ equal(X15,X16)
| ~ equal(X17,X18)
| ~ equal(X19,X20)
| ~ equal(X21,X22) )
& ~ equal(n0,n1)
& ~ equal(n0,n2)
& ~ equal(n0,n3)
& ~ equal(n0,n4)
& ~ equal(n0,n5)
& ~ equal(n0,n6)
& ~ equal(n0,n7)
& ~ equal(n0,n8)
& ~ equal(n0,n9)
& ~ equal(n0,n10)
& ~ equal(n1,n2)
& ~ equal(n1,n3)
& ~ equal(n1,n4)
& ~ equal(n1,n5)
& ~ equal(n1,n6)
& ~ equal(n1,n7)
& ~ equal(n1,n8)
& ~ equal(n1,n9)
& ~ equal(n1,n10)
& ~ equal(n2,n3)
& ~ equal(n2,n4)
& ~ equal(n2,n5)
& ~ equal(n2,n6)
& ~ equal(n2,n7)
& ~ equal(n2,n8)
& ~ equal(n2,n9)
& ~ equal(n2,n10)
& ~ equal(n3,n4)
& ~ equal(n3,n5)
& ~ equal(n3,n6)
& ~ equal(n3,n7)
& ~ equal(n3,n8)
& ~ equal(n3,n9)
& ~ equal(n3,n10)
& ~ equal(n4,n5)
& ~ equal(n4,n6)
& ~ equal(n4,n7)
& ~ equal(n4,n8)
& ~ equal(n4,n9)
& ~ equal(n4,n10)
& ~ equal(n5,n6)
& ~ equal(n5,n7)
& ~ equal(n5,n8)
& ~ equal(n5,n9)
& ~ equal(n5,n10)
& ~ equal(n6,n7)
& ~ equal(n6,n8)
& ~ equal(n6,n9)
& ~ equal(n6,n10)
& ~ equal(n7,n8)
& ~ equal(n7,n9)
& ~ equal(n7,n10)
& ~ equal(n8,n9)
& ~ equal(n8,n10)
& ~ equal(n9,n10) ),
file('/export/starexec/sandbox2/tmp/tmpl_ZiDq/sel_theBenchmark.p_1',try_satisfy_this) ).
fof(2,plain,
? [X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44] :
( equal(succ(n0),n1)
& equal(succ(n1),n2)
& equal(succ(n2),n3)
& equal(succ(n3),n4)
& equal(succ(n4),n5)
& equal(succ(n5),n6)
& equal(succ(n6),n7)
& equal(succ(n7),n8)
& equal(succ(n8),n9)
& equal(succ(n9),n10)
& equal(succ(n10),n0)
& equal(pred(n0),n10)
& equal(pred(n1),n0)
& equal(pred(n2),n1)
& equal(pred(n3),n2)
& equal(pred(n4),n3)
& equal(pred(n5),n4)
& equal(pred(n6),n5)
& equal(pred(n7),n6)
& equal(pred(n8),n7)
& equal(pred(n9),n8)
& equal(pred(n10),n9)
& equal(sum(n0,n0),n0)
& equal(sum(n0,n1),n1)
& equal(sum(n0,n2),n2)
& equal(sum(n0,n3),n3)
& equal(sum(n0,n4),n4)
& equal(sum(n0,n5),n5)
& equal(sum(n0,n6),n6)
& equal(sum(n0,n7),n7)
& equal(sum(n0,n8),n8)
& equal(sum(n0,n9),n9)
& equal(sum(n0,n10),n10)
& equal(sum(n1,n0),n1)
& equal(sum(n1,n1),n2)
& equal(sum(n1,n2),n3)
& equal(sum(n1,n3),n4)
& equal(sum(n1,n4),n5)
& equal(sum(n1,n5),n6)
& equal(sum(n1,n6),n7)
& equal(sum(n1,n7),n8)
& equal(sum(n1,n8),n9)
& equal(sum(n1,n9),n10)
& equal(sum(n1,n10),n0)
& equal(sum(n2,n0),n2)
& equal(sum(n2,n1),n3)
& equal(sum(n2,n2),n4)
& equal(sum(n2,n3),n5)
& equal(sum(n2,n4),n6)
& equal(sum(n2,n5),n7)
& equal(sum(n2,n6),n8)
& equal(sum(n2,n7),n9)
& equal(sum(n2,n8),n10)
& equal(sum(n2,n9),n0)
& equal(sum(n2,n10),n1)
& equal(sum(n3,n0),n3)
& equal(sum(n3,n1),n4)
& equal(sum(n3,n2),n5)
& equal(sum(n3,n3),n6)
& equal(sum(n3,n4),n7)
& equal(sum(n3,n5),n8)
& equal(sum(n3,n6),n9)
& equal(sum(n3,n7),n10)
& equal(sum(n3,n8),n0)
& equal(sum(n3,n9),n1)
& equal(sum(n3,n10),n2)
& equal(sum(n4,n0),n4)
& equal(sum(n4,n1),n5)
& equal(sum(n4,n2),n6)
& equal(sum(n4,n3),n7)
& equal(sum(n4,n4),n8)
& equal(sum(n4,n5),n9)
& equal(sum(n4,n6),n10)
& equal(sum(n4,n7),n0)
& equal(sum(n4,n8),n1)
& equal(sum(n4,n9),n2)
& equal(sum(n4,n10),n3)
& equal(sum(n5,n0),n5)
& equal(sum(n5,n1),n6)
& equal(sum(n5,n2),n7)
& equal(sum(n5,n3),n8)
& equal(sum(n5,n4),n9)
& equal(sum(n5,n5),n10)
& equal(sum(n5,n6),n0)
& equal(sum(n5,n7),n1)
& equal(sum(n5,n8),n2)
& equal(sum(n5,n9),n3)
& equal(sum(n5,n10),n4)
& equal(sum(n6,n0),n6)
& equal(sum(n6,n1),n7)
& equal(sum(n6,n2),n8)
& equal(sum(n6,n3),n9)
& equal(sum(n6,n4),n10)
& equal(sum(n6,n5),n0)
& equal(sum(n6,n6),n1)
& equal(sum(n6,n7),n2)
& equal(sum(n6,n8),n3)
& equal(sum(n6,n9),n4)
& equal(sum(n6,n10),n5)
& equal(sum(n7,n0),n7)
& equal(sum(n7,n1),n8)
& equal(sum(n7,n2),n9)
& equal(sum(n7,n3),n10)
& equal(sum(n7,n4),n0)
& equal(sum(n7,n5),n1)
& equal(sum(n7,n6),n2)
& equal(sum(n7,n7),n3)
& equal(sum(n7,n8),n4)
& equal(sum(n7,n9),n5)
& equal(sum(n7,n10),n6)
& equal(sum(n8,n0),n8)
& equal(sum(n8,n1),n9)
& equal(sum(n8,n2),n10)
& equal(sum(n8,n3),n0)
& equal(sum(n8,n4),n1)
& equal(sum(n8,n5),n2)
& equal(sum(n8,n6),n3)
& equal(sum(n8,n7),n4)
& equal(sum(n8,n8),n5)
& equal(sum(n8,n9),n6)
& equal(sum(n8,n10),n7)
& equal(sum(n9,n0),n9)
& equal(sum(n9,n1),n10)
& equal(sum(n9,n2),n0)
& equal(sum(n9,n3),n1)
& equal(sum(n9,n4),n2)
& equal(sum(n9,n5),n3)
& equal(sum(n9,n6),n4)
& equal(sum(n9,n7),n5)
& equal(sum(n9,n8),n6)
& equal(sum(n9,n9),n7)
& equal(sum(n9,n10),n8)
& equal(sum(n10,n0),n10)
& equal(sum(n10,n1),n0)
& equal(sum(n10,n2),n1)
& equal(sum(n10,n3),n2)
& equal(sum(n10,n4),n3)
& equal(sum(n10,n5),n4)
& equal(sum(n10,n6),n5)
& equal(sum(n10,n7),n6)
& equal(sum(n10,n8),n7)
& equal(sum(n10,n9),n8)
& equal(sum(n10,n10),n9)
& ( equal(X23,n0)
| equal(X23,n1)
| equal(X23,n2)
| equal(X23,n3)
| equal(X23,n4)
| equal(X23,n5)
| equal(X23,n6)
| equal(X23,n7)
| equal(X23,n8)
| equal(X23,n9)
| equal(X23,n10) )
& ( equal(X24,n0)
| equal(X24,n1)
| equal(X24,n2)
| equal(X24,n3)
| equal(X24,n4)
| equal(X24,n5)
| equal(X24,n6)
| equal(X24,n7)
| equal(X24,n8)
| equal(X24,n9)
| equal(X24,n10) )
& equal(X25,sum(sum(pred(X23),succ(X24)),sum(pred(X24),succ(X23))))
& equal(X26,sum(sum(pred(X23),succ(X23)),sum(pred(X24),succ(X24))))
& equal(X27,sum(sum(pred(X25),succ(X26)),sum(pred(X26),succ(X25))))
& equal(X28,sum(sum(pred(X25),succ(X25)),sum(pred(X26),succ(X26))))
& equal(X29,sum(sum(pred(X27),succ(X28)),sum(pred(X28),succ(X27))))
& equal(X30,sum(sum(pred(X27),succ(X27)),sum(pred(X28),succ(X28))))
& equal(X31,sum(sum(pred(X29),succ(X30)),sum(pred(X30),succ(X29))))
& equal(X32,sum(sum(pred(X29),succ(X29)),sum(pred(X30),succ(X30))))
& equal(X33,sum(sum(pred(X31),succ(X32)),sum(pred(X32),succ(X31))))
& equal(X34,sum(sum(pred(X31),succ(X31)),sum(pred(X32),succ(X32))))
& equal(X35,sum(sum(pred(X33),succ(X34)),sum(pred(X34),succ(X33))))
& equal(X36,sum(sum(pred(X33),succ(X33)),sum(pred(X34),succ(X34))))
& equal(X37,sum(sum(pred(X35),succ(X36)),sum(pred(X36),succ(X35))))
& equal(X38,sum(sum(pred(X35),succ(X35)),sum(pred(X36),succ(X36))))
& equal(X39,sum(sum(pred(X37),succ(X38)),sum(pred(X38),succ(X37))))
& equal(X40,sum(sum(pred(X37),succ(X37)),sum(pred(X38),succ(X38))))
& equal(X41,sum(sum(pred(X39),succ(X40)),sum(pred(X40),succ(X39))))
& equal(X42,sum(sum(pred(X39),succ(X39)),sum(pred(X40),succ(X40))))
& equal(X43,sum(sum(pred(X41),succ(X42)),sum(pred(X42),succ(X41))))
& equal(X44,sum(sum(pred(X41),succ(X41)),sum(pred(X42),succ(X42))))
& ( ~ equal(X25,X26)
| ~ equal(X27,X28)
| ~ equal(X29,X30)
| ~ equal(X31,X32)
| ~ equal(X33,X34)
| ~ equal(X35,X36)
| ~ equal(X37,X38)
| ~ equal(X39,X40)
| ~ equal(X41,X42)
| ~ equal(X43,X44) )
& ~ equal(n0,n1)
& ~ equal(n0,n2)
& ~ equal(n0,n3)
& ~ equal(n0,n4)
& ~ equal(n0,n5)
& ~ equal(n0,n6)
& ~ equal(n0,n7)
& ~ equal(n0,n8)
& ~ equal(n0,n9)
& ~ equal(n0,n10)
& ~ equal(n1,n2)
& ~ equal(n1,n3)
& ~ equal(n1,n4)
& ~ equal(n1,n5)
& ~ equal(n1,n6)
& ~ equal(n1,n7)
& ~ equal(n1,n8)
& ~ equal(n1,n9)
& ~ equal(n1,n10)
& ~ equal(n2,n3)
& ~ equal(n2,n4)
& ~ equal(n2,n5)
& ~ equal(n2,n6)
& ~ equal(n2,n7)
& ~ equal(n2,n8)
& ~ equal(n2,n9)
& ~ equal(n2,n10)
& ~ equal(n3,n4)
& ~ equal(n3,n5)
& ~ equal(n3,n6)
& ~ equal(n3,n7)
& ~ equal(n3,n8)
& ~ equal(n3,n9)
& ~ equal(n3,n10)
& ~ equal(n4,n5)
& ~ equal(n4,n6)
& ~ equal(n4,n7)
& ~ equal(n4,n8)
& ~ equal(n4,n9)
& ~ equal(n4,n10)
& ~ equal(n5,n6)
& ~ equal(n5,n7)
& ~ equal(n5,n8)
& ~ equal(n5,n9)
& ~ equal(n5,n10)
& ~ equal(n6,n7)
& ~ equal(n6,n8)
& ~ equal(n6,n9)
& ~ equal(n6,n10)
& ~ equal(n7,n8)
& ~ equal(n7,n9)
& ~ equal(n7,n10)
& ~ equal(n8,n9)
& ~ equal(n8,n10)
& ~ equal(n9,n10) ),
inference(variable_rename,[status(thm)],[1]) ).
fof(3,plain,
( equal(succ(n0),n1)
& equal(succ(n1),n2)
& equal(succ(n2),n3)
& equal(succ(n3),n4)
& equal(succ(n4),n5)
& equal(succ(n5),n6)
& equal(succ(n6),n7)
& equal(succ(n7),n8)
& equal(succ(n8),n9)
& equal(succ(n9),n10)
& equal(succ(n10),n0)
& equal(pred(n0),n10)
& equal(pred(n1),n0)
& equal(pred(n2),n1)
& equal(pred(n3),n2)
& equal(pred(n4),n3)
& equal(pred(n5),n4)
& equal(pred(n6),n5)
& equal(pred(n7),n6)
& equal(pred(n8),n7)
& equal(pred(n9),n8)
& equal(pred(n10),n9)
& equal(sum(n0,n0),n0)
& equal(sum(n0,n1),n1)
& equal(sum(n0,n2),n2)
& equal(sum(n0,n3),n3)
& equal(sum(n0,n4),n4)
& equal(sum(n0,n5),n5)
& equal(sum(n0,n6),n6)
& equal(sum(n0,n7),n7)
& equal(sum(n0,n8),n8)
& equal(sum(n0,n9),n9)
& equal(sum(n0,n10),n10)
& equal(sum(n1,n0),n1)
& equal(sum(n1,n1),n2)
& equal(sum(n1,n2),n3)
& equal(sum(n1,n3),n4)
& equal(sum(n1,n4),n5)
& equal(sum(n1,n5),n6)
& equal(sum(n1,n6),n7)
& equal(sum(n1,n7),n8)
& equal(sum(n1,n8),n9)
& equal(sum(n1,n9),n10)
& equal(sum(n1,n10),n0)
& equal(sum(n2,n0),n2)
& equal(sum(n2,n1),n3)
& equal(sum(n2,n2),n4)
& equal(sum(n2,n3),n5)
& equal(sum(n2,n4),n6)
& equal(sum(n2,n5),n7)
& equal(sum(n2,n6),n8)
& equal(sum(n2,n7),n9)
& equal(sum(n2,n8),n10)
& equal(sum(n2,n9),n0)
& equal(sum(n2,n10),n1)
& equal(sum(n3,n0),n3)
& equal(sum(n3,n1),n4)
& equal(sum(n3,n2),n5)
& equal(sum(n3,n3),n6)
& equal(sum(n3,n4),n7)
& equal(sum(n3,n5),n8)
& equal(sum(n3,n6),n9)
& equal(sum(n3,n7),n10)
& equal(sum(n3,n8),n0)
& equal(sum(n3,n9),n1)
& equal(sum(n3,n10),n2)
& equal(sum(n4,n0),n4)
& equal(sum(n4,n1),n5)
& equal(sum(n4,n2),n6)
& equal(sum(n4,n3),n7)
& equal(sum(n4,n4),n8)
& equal(sum(n4,n5),n9)
& equal(sum(n4,n6),n10)
& equal(sum(n4,n7),n0)
& equal(sum(n4,n8),n1)
& equal(sum(n4,n9),n2)
& equal(sum(n4,n10),n3)
& equal(sum(n5,n0),n5)
& equal(sum(n5,n1),n6)
& equal(sum(n5,n2),n7)
& equal(sum(n5,n3),n8)
& equal(sum(n5,n4),n9)
& equal(sum(n5,n5),n10)
& equal(sum(n5,n6),n0)
& equal(sum(n5,n7),n1)
& equal(sum(n5,n8),n2)
& equal(sum(n5,n9),n3)
& equal(sum(n5,n10),n4)
& equal(sum(n6,n0),n6)
& equal(sum(n6,n1),n7)
& equal(sum(n6,n2),n8)
& equal(sum(n6,n3),n9)
& equal(sum(n6,n4),n10)
& equal(sum(n6,n5),n0)
& equal(sum(n6,n6),n1)
& equal(sum(n6,n7),n2)
& equal(sum(n6,n8),n3)
& equal(sum(n6,n9),n4)
& equal(sum(n6,n10),n5)
& equal(sum(n7,n0),n7)
& equal(sum(n7,n1),n8)
& equal(sum(n7,n2),n9)
& equal(sum(n7,n3),n10)
& equal(sum(n7,n4),n0)
& equal(sum(n7,n5),n1)
& equal(sum(n7,n6),n2)
& equal(sum(n7,n7),n3)
& equal(sum(n7,n8),n4)
& equal(sum(n7,n9),n5)
& equal(sum(n7,n10),n6)
& equal(sum(n8,n0),n8)
& equal(sum(n8,n1),n9)
& equal(sum(n8,n2),n10)
& equal(sum(n8,n3),n0)
& equal(sum(n8,n4),n1)
& equal(sum(n8,n5),n2)
& equal(sum(n8,n6),n3)
& equal(sum(n8,n7),n4)
& equal(sum(n8,n8),n5)
& equal(sum(n8,n9),n6)
& equal(sum(n8,n10),n7)
& equal(sum(n9,n0),n9)
& equal(sum(n9,n1),n10)
& equal(sum(n9,n2),n0)
& equal(sum(n9,n3),n1)
& equal(sum(n9,n4),n2)
& equal(sum(n9,n5),n3)
& equal(sum(n9,n6),n4)
& equal(sum(n9,n7),n5)
& equal(sum(n9,n8),n6)
& equal(sum(n9,n9),n7)
& equal(sum(n9,n10),n8)
& equal(sum(n10,n0),n10)
& equal(sum(n10,n1),n0)
& equal(sum(n10,n2),n1)
& equal(sum(n10,n3),n2)
& equal(sum(n10,n4),n3)
& equal(sum(n10,n5),n4)
& equal(sum(n10,n6),n5)
& equal(sum(n10,n7),n6)
& equal(sum(n10,n8),n7)
& equal(sum(n10,n9),n8)
& equal(sum(n10,n10),n9)
& ( equal(esk1_0,n0)
| equal(esk1_0,n1)
| equal(esk1_0,n2)
| equal(esk1_0,n3)
| equal(esk1_0,n4)
| equal(esk1_0,n5)
| equal(esk1_0,n6)
| equal(esk1_0,n7)
| equal(esk1_0,n8)
| equal(esk1_0,n9)
| equal(esk1_0,n10) )
& ( equal(esk2_0,n0)
| equal(esk2_0,n1)
| equal(esk2_0,n2)
| equal(esk2_0,n3)
| equal(esk2_0,n4)
| equal(esk2_0,n5)
| equal(esk2_0,n6)
| equal(esk2_0,n7)
| equal(esk2_0,n8)
| equal(esk2_0,n9)
| equal(esk2_0,n10) )
& equal(esk3_0,sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))))
& equal(esk4_0,sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))))
& equal(esk5_0,sum(sum(pred(esk3_0),succ(esk4_0)),sum(pred(esk4_0),succ(esk3_0))))
& equal(esk6_0,sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(esk4_0),succ(esk4_0))))
& equal(esk7_0,sum(sum(pred(esk5_0),succ(esk6_0)),sum(pred(esk6_0),succ(esk5_0))))
& equal(esk8_0,sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(esk6_0),succ(esk6_0))))
& equal(esk9_0,sum(sum(pred(esk7_0),succ(esk8_0)),sum(pred(esk8_0),succ(esk7_0))))
& equal(esk10_0,sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(esk8_0),succ(esk8_0))))
& equal(esk11_0,sum(sum(pred(esk9_0),succ(esk10_0)),sum(pred(esk10_0),succ(esk9_0))))
& equal(esk12_0,sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(esk10_0),succ(esk10_0))))
& equal(esk13_0,sum(sum(pred(esk11_0),succ(esk12_0)),sum(pred(esk12_0),succ(esk11_0))))
& equal(esk14_0,sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(esk12_0),succ(esk12_0))))
& equal(esk15_0,sum(sum(pred(esk13_0),succ(esk14_0)),sum(pred(esk14_0),succ(esk13_0))))
& equal(esk16_0,sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(esk14_0),succ(esk14_0))))
& equal(esk17_0,sum(sum(pred(esk15_0),succ(esk16_0)),sum(pred(esk16_0),succ(esk15_0))))
& equal(esk18_0,sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(esk16_0),succ(esk16_0))))
& equal(esk19_0,sum(sum(pred(esk17_0),succ(esk18_0)),sum(pred(esk18_0),succ(esk17_0))))
& equal(esk20_0,sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(esk18_0),succ(esk18_0))))
& equal(esk21_0,sum(sum(pred(esk19_0),succ(esk20_0)),sum(pred(esk20_0),succ(esk19_0))))
& equal(esk22_0,sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(esk20_0),succ(esk20_0))))
& ( ~ equal(esk3_0,esk4_0)
| ~ equal(esk5_0,esk6_0)
| ~ equal(esk7_0,esk8_0)
| ~ equal(esk9_0,esk10_0)
| ~ equal(esk11_0,esk12_0)
| ~ equal(esk13_0,esk14_0)
| ~ equal(esk15_0,esk16_0)
| ~ equal(esk17_0,esk18_0)
| ~ equal(esk19_0,esk20_0)
| ~ equal(esk21_0,esk22_0) )
& ~ equal(n0,n1)
& ~ equal(n0,n2)
& ~ equal(n0,n3)
& ~ equal(n0,n4)
& ~ equal(n0,n5)
& ~ equal(n0,n6)
& ~ equal(n0,n7)
& ~ equal(n0,n8)
& ~ equal(n0,n9)
& ~ equal(n0,n10)
& ~ equal(n1,n2)
& ~ equal(n1,n3)
& ~ equal(n1,n4)
& ~ equal(n1,n5)
& ~ equal(n1,n6)
& ~ equal(n1,n7)
& ~ equal(n1,n8)
& ~ equal(n1,n9)
& ~ equal(n1,n10)
& ~ equal(n2,n3)
& ~ equal(n2,n4)
& ~ equal(n2,n5)
& ~ equal(n2,n6)
& ~ equal(n2,n7)
& ~ equal(n2,n8)
& ~ equal(n2,n9)
& ~ equal(n2,n10)
& ~ equal(n3,n4)
& ~ equal(n3,n5)
& ~ equal(n3,n6)
& ~ equal(n3,n7)
& ~ equal(n3,n8)
& ~ equal(n3,n9)
& ~ equal(n3,n10)
& ~ equal(n4,n5)
& ~ equal(n4,n6)
& ~ equal(n4,n7)
& ~ equal(n4,n8)
& ~ equal(n4,n9)
& ~ equal(n4,n10)
& ~ equal(n5,n6)
& ~ equal(n5,n7)
& ~ equal(n5,n8)
& ~ equal(n5,n9)
& ~ equal(n5,n10)
& ~ equal(n6,n7)
& ~ equal(n6,n8)
& ~ equal(n6,n9)
& ~ equal(n6,n10)
& ~ equal(n7,n8)
& ~ equal(n7,n9)
& ~ equal(n7,n10)
& ~ equal(n8,n9)
& ~ equal(n8,n10)
& ~ equal(n9,n10) ),
inference(skolemize,[status(esa)],[2]) ).
cnf(59,plain,
( esk21_0 != esk22_0
| esk19_0 != esk20_0
| esk17_0 != esk18_0
| esk15_0 != esk16_0
| esk13_0 != esk14_0
| esk11_0 != esk12_0
| esk9_0 != esk10_0
| esk7_0 != esk8_0
| esk5_0 != esk6_0
| esk3_0 != esk4_0 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(60,plain,
esk22_0 = sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(esk20_0),succ(esk20_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(61,plain,
esk21_0 = sum(sum(pred(esk19_0),succ(esk20_0)),sum(pred(esk20_0),succ(esk19_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(62,plain,
esk20_0 = sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(esk18_0),succ(esk18_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(63,plain,
esk19_0 = sum(sum(pred(esk17_0),succ(esk18_0)),sum(pred(esk18_0),succ(esk17_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(64,plain,
esk18_0 = sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(esk16_0),succ(esk16_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(65,plain,
esk17_0 = sum(sum(pred(esk15_0),succ(esk16_0)),sum(pred(esk16_0),succ(esk15_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(66,plain,
esk16_0 = sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(esk14_0),succ(esk14_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(67,plain,
esk15_0 = sum(sum(pred(esk13_0),succ(esk14_0)),sum(pred(esk14_0),succ(esk13_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(68,plain,
esk14_0 = sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(esk12_0),succ(esk12_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(69,plain,
esk13_0 = sum(sum(pred(esk11_0),succ(esk12_0)),sum(pred(esk12_0),succ(esk11_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(70,plain,
esk12_0 = sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(esk10_0),succ(esk10_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(71,plain,
esk11_0 = sum(sum(pred(esk9_0),succ(esk10_0)),sum(pred(esk10_0),succ(esk9_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(72,plain,
esk10_0 = sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(esk8_0),succ(esk8_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(73,plain,
esk9_0 = sum(sum(pred(esk7_0),succ(esk8_0)),sum(pred(esk8_0),succ(esk7_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(74,plain,
esk8_0 = sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(esk6_0),succ(esk6_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(75,plain,
esk7_0 = sum(sum(pred(esk5_0),succ(esk6_0)),sum(pred(esk6_0),succ(esk5_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(76,plain,
esk6_0 = sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(esk4_0),succ(esk4_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(77,plain,
esk5_0 = sum(sum(pred(esk3_0),succ(esk4_0)),sum(pred(esk4_0),succ(esk3_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(78,plain,
esk4_0 = sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(79,plain,
esk3_0 = sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(80,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk2_0 = n0 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(81,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk1_0 = n0 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(82,plain,
sum(n10,n10) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(83,plain,
sum(n10,n9) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(84,plain,
sum(n10,n8) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(85,plain,
sum(n10,n7) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(86,plain,
sum(n10,n6) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(87,plain,
sum(n10,n5) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(88,plain,
sum(n10,n4) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(89,plain,
sum(n10,n3) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(90,plain,
sum(n10,n2) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(91,plain,
sum(n10,n1) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(92,plain,
sum(n10,n0) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(93,plain,
sum(n9,n10) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(94,plain,
sum(n9,n9) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(95,plain,
sum(n9,n8) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(96,plain,
sum(n9,n7) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(97,plain,
sum(n9,n6) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(98,plain,
sum(n9,n5) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(99,plain,
sum(n9,n4) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(100,plain,
sum(n9,n3) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(101,plain,
sum(n9,n2) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(102,plain,
sum(n9,n1) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(103,plain,
sum(n9,n0) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(104,plain,
sum(n8,n10) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(105,plain,
sum(n8,n9) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(106,plain,
sum(n8,n8) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(107,plain,
sum(n8,n7) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(108,plain,
sum(n8,n6) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(109,plain,
sum(n8,n5) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(110,plain,
sum(n8,n4) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(111,plain,
sum(n8,n3) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(112,plain,
sum(n8,n2) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(113,plain,
sum(n8,n1) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(114,plain,
sum(n8,n0) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(115,plain,
sum(n7,n10) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(116,plain,
sum(n7,n9) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(117,plain,
sum(n7,n8) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(118,plain,
sum(n7,n7) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(119,plain,
sum(n7,n6) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(120,plain,
sum(n7,n5) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(121,plain,
sum(n7,n4) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(122,plain,
sum(n7,n3) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(123,plain,
sum(n7,n2) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(124,plain,
sum(n7,n1) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(125,plain,
sum(n7,n0) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(126,plain,
sum(n6,n10) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(127,plain,
sum(n6,n9) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(128,plain,
sum(n6,n8) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(129,plain,
sum(n6,n7) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(130,plain,
sum(n6,n6) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(131,plain,
sum(n6,n5) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(132,plain,
sum(n6,n4) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(133,plain,
sum(n6,n3) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(134,plain,
sum(n6,n2) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(135,plain,
sum(n6,n1) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(136,plain,
sum(n6,n0) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(137,plain,
sum(n5,n10) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(138,plain,
sum(n5,n9) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(139,plain,
sum(n5,n8) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(140,plain,
sum(n5,n7) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(141,plain,
sum(n5,n6) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(142,plain,
sum(n5,n5) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(143,plain,
sum(n5,n4) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(144,plain,
sum(n5,n3) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(145,plain,
sum(n5,n2) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(146,plain,
sum(n5,n1) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(147,plain,
sum(n5,n0) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(148,plain,
sum(n4,n10) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(149,plain,
sum(n4,n9) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(150,plain,
sum(n4,n8) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(151,plain,
sum(n4,n7) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(152,plain,
sum(n4,n6) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(153,plain,
sum(n4,n5) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(154,plain,
sum(n4,n4) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(155,plain,
sum(n4,n3) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(156,plain,
sum(n4,n2) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(157,plain,
sum(n4,n1) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(158,plain,
sum(n4,n0) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(159,plain,
sum(n3,n10) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(160,plain,
sum(n3,n9) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(161,plain,
sum(n3,n8) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(162,plain,
sum(n3,n7) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(163,plain,
sum(n3,n6) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(164,plain,
sum(n3,n5) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(165,plain,
sum(n3,n4) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(166,plain,
sum(n3,n3) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(167,plain,
sum(n3,n2) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(168,plain,
sum(n3,n1) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(169,plain,
sum(n3,n0) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(170,plain,
sum(n2,n10) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(171,plain,
sum(n2,n9) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(172,plain,
sum(n2,n8) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(173,plain,
sum(n2,n7) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(174,plain,
sum(n2,n6) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(175,plain,
sum(n2,n5) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(176,plain,
sum(n2,n4) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(177,plain,
sum(n2,n3) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(178,plain,
sum(n2,n2) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(179,plain,
sum(n2,n1) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(180,plain,
sum(n2,n0) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(181,plain,
sum(n1,n10) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(182,plain,
sum(n1,n9) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(183,plain,
sum(n1,n8) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(184,plain,
sum(n1,n7) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(185,plain,
sum(n1,n6) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(186,plain,
sum(n1,n5) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(187,plain,
sum(n1,n4) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(188,plain,
sum(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(189,plain,
sum(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(190,plain,
sum(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(191,plain,
sum(n1,n0) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(192,plain,
sum(n0,n10) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(193,plain,
sum(n0,n9) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(194,plain,
sum(n0,n8) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(195,plain,
sum(n0,n7) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(196,plain,
sum(n0,n6) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(197,plain,
sum(n0,n5) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(198,plain,
sum(n0,n4) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(199,plain,
sum(n0,n3) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(200,plain,
sum(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(201,plain,
sum(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(202,plain,
sum(n0,n0) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(203,plain,
pred(n10) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(204,plain,
pred(n9) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(205,plain,
pred(n8) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(206,plain,
pred(n7) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(207,plain,
pred(n6) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(208,plain,
pred(n5) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(209,plain,
pred(n4) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(210,plain,
pred(n3) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(211,plain,
pred(n2) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(212,plain,
pred(n1) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(213,plain,
pred(n0) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(214,plain,
succ(n10) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(215,plain,
succ(n9) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(216,plain,
succ(n8) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(217,plain,
succ(n7) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(218,plain,
succ(n6) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(219,plain,
succ(n5) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(220,plain,
succ(n4) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(221,plain,
succ(n3) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(222,plain,
succ(n2) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(223,plain,
succ(n1) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(224,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(245,plain,
( sum(sum(pred(n0),succ(n0)),sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[78,81,theory(equality)]) ).
cnf(246,plain,
( sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(n0),succ(n0))) = esk4_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[78,80,theory(equality)]) ).
cnf(247,plain,
( sum(n0,sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[245,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(248,plain,
( sum(sum(pred(esk1_0),succ(esk1_0)),n0) = esk4_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[246,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(249,plain,
( sum(sum(pred(n0),succ(esk2_0)),sum(pred(esk2_0),succ(n0))) = esk3_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[79,81,theory(equality)]) ).
cnf(250,plain,
( sum(sum(pred(esk1_0),succ(n0)),sum(pred(n0),succ(esk1_0))) = esk3_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[79,80,theory(equality)]) ).
cnf(251,plain,
( sum(sum(n10,succ(esk2_0)),sum(pred(esk2_0),n1)) = esk3_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[249,213,theory(equality)]),224,theory(equality)]) ).
cnf(252,plain,
( sum(sum(pred(esk1_0),n1),sum(n10,succ(esk1_0))) = esk3_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[250,224,theory(equality)]),213,theory(equality)]) ).
cnf(253,plain,
( sum(n0,sum(pred(n0),succ(n0))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[247,80,theory(equality)]) ).
cnf(254,plain,
( n0 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[253,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(257,plain,
( sum(sum(n10,succ(n0)),sum(pred(n0),n1)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[251,80,theory(equality)]) ).
cnf(258,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[257,224,theory(equality)]),91,theory(equality)]),213,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(261,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n0),succ(n0))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,254,theory(equality)]) ).
cnf(262,plain,
( sum(sum(pred(esk3_0),succ(n0)),sum(pred(n0),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,254,theory(equality)]) ).
cnf(263,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n0) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[261,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(264,plain,
( sum(sum(pred(esk3_0),n1),sum(n10,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[262,224,theory(equality)]),213,theory(equality)]) ).
cnf(269,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[263,258,theory(equality)]) ).
cnf(270,plain,
( n0 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[269,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(271,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n0),succ(n0))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,270,theory(equality)]) ).
cnf(272,plain,
( sum(sum(pred(esk5_0),succ(n0)),sum(pred(n0),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,270,theory(equality)]) ).
cnf(273,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n0) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[271,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(274,plain,
( sum(sum(pred(esk5_0),n1),sum(n10,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[272,224,theory(equality)]),213,theory(equality)]) ).
cnf(275,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[264,258,theory(equality)]) ).
cnf(276,plain,
( n0 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[275,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(283,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[273,276,theory(equality)]) ).
cnf(284,plain,
( n0 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[283,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(285,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n0),succ(n0))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,284,theory(equality)]) ).
cnf(286,plain,
( sum(sum(pred(esk7_0),succ(n0)),sum(pred(n0),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,284,theory(equality)]) ).
cnf(287,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n0) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[285,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(288,plain,
( sum(sum(pred(esk7_0),n1),sum(n10,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[286,224,theory(equality)]),213,theory(equality)]) ).
cnf(293,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[274,276,theory(equality)]) ).
cnf(294,plain,
( n0 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[293,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(297,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[287,294,theory(equality)]) ).
cnf(300,plain,
( n0 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[297,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(301,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n0),succ(n0))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,300,theory(equality)]) ).
cnf(302,plain,
( sum(sum(pred(esk9_0),succ(n0)),sum(pred(n0),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,300,theory(equality)]) ).
cnf(303,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n0) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[301,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(304,plain,
( sum(sum(pred(esk9_0),n1),sum(n10,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[302,224,theory(equality)]),213,theory(equality)]) ).
cnf(309,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[288,294,theory(equality)]) ).
cnf(310,plain,
( n0 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[309,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(313,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[303,310,theory(equality)]) ).
cnf(316,plain,
( n0 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[313,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(317,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n0),succ(n0))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,316,theory(equality)]) ).
cnf(318,plain,
( sum(sum(pred(esk11_0),succ(n0)),sum(pred(n0),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,316,theory(equality)]) ).
cnf(319,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n0) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[317,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(320,plain,
( sum(sum(pred(esk11_0),n1),sum(n10,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[318,224,theory(equality)]),213,theory(equality)]) ).
cnf(325,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[304,310,theory(equality)]) ).
cnf(326,plain,
( n0 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[325,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(329,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[319,326,theory(equality)]) ).
cnf(332,plain,
( n0 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[329,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(333,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n0),succ(n0))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,332,theory(equality)]) ).
cnf(334,plain,
( sum(sum(pred(esk13_0),succ(n0)),sum(pred(n0),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,332,theory(equality)]) ).
cnf(335,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n0) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[333,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(336,plain,
( sum(sum(pred(esk13_0),n1),sum(n10,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[334,224,theory(equality)]),213,theory(equality)]) ).
cnf(341,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[320,326,theory(equality)]) ).
cnf(342,plain,
( n0 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[341,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(347,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[335,342,theory(equality)]) ).
cnf(350,plain,
( n0 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[347,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(351,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n0),succ(n0))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,350,theory(equality)]) ).
cnf(352,plain,
( sum(sum(pred(esk15_0),succ(n0)),sum(pred(n0),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,350,theory(equality)]) ).
cnf(353,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n0) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[351,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(354,plain,
( sum(sum(pred(esk15_0),n1),sum(n10,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[352,224,theory(equality)]),213,theory(equality)]) ).
cnf(357,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[336,342,theory(equality)]) ).
cnf(358,plain,
( n0 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[357,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(361,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[353,358,theory(equality)]) ).
cnf(364,plain,
( n0 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[361,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(367,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n0),succ(n0))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,364,theory(equality)]) ).
cnf(368,plain,
( sum(sum(pred(esk17_0),succ(n0)),sum(pred(n0),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,364,theory(equality)]) ).
cnf(369,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n0) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[367,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(370,plain,
( sum(sum(pred(esk17_0),n1),sum(n10,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[368,224,theory(equality)]),213,theory(equality)]) ).
cnf(373,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[354,358,theory(equality)]) ).
cnf(374,plain,
( n0 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[373,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(377,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[369,374,theory(equality)]) ).
cnf(380,plain,
( n0 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[377,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(381,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n0),succ(n0))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,380,theory(equality)]) ).
cnf(382,plain,
( sum(sum(pred(esk19_0),succ(n0)),sum(pred(n0),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,380,theory(equality)]) ).
cnf(383,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n0) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[381,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(384,plain,
( sum(sum(pred(esk19_0),n1),sum(n10,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[382,224,theory(equality)]),213,theory(equality)]) ).
cnf(389,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[370,374,theory(equality)]) ).
cnf(390,plain,
( n0 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[389,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(393,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[383,390,theory(equality)]) ).
cnf(396,plain,
( n0 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[393,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(401,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[384,390,theory(equality)]) ).
cnf(402,plain,
( n0 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[401,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(403,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n0 != esk22_0 ),
inference(spm,[status(thm)],[59,402,theory(equality)]) ).
cnf(404,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[403,396]) ).
cnf(405,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n0 != esk20_0 ),
inference(spm,[status(thm)],[404,390,theory(equality)]) ).
cnf(406,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[405,380]) ).
cnf(407,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n0 != esk18_0 ),
inference(spm,[status(thm)],[406,374,theory(equality)]) ).
cnf(408,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[407,364]) ).
cnf(409,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n0 != esk16_0 ),
inference(spm,[status(thm)],[408,358,theory(equality)]) ).
cnf(412,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[409,350]) ).
cnf(413,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n0 != esk14_0 ),
inference(spm,[status(thm)],[412,342,theory(equality)]) ).
cnf(414,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[413,332]) ).
cnf(415,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n0 != esk12_0 ),
inference(spm,[status(thm)],[414,326,theory(equality)]) ).
cnf(416,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[415,316]) ).
cnf(417,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n0 != esk10_0 ),
inference(spm,[status(thm)],[416,310,theory(equality)]) ).
cnf(418,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[417,300]) ).
cnf(419,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n0 != esk8_0 ),
inference(spm,[status(thm)],[418,294,theory(equality)]) ).
cnf(420,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[419,284]) ).
cnf(421,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n0 != esk6_0 ),
inference(spm,[status(thm)],[420,276,theory(equality)]) ).
cnf(422,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[421,270]) ).
cnf(423,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != esk4_0 ),
inference(spm,[status(thm)],[422,258,theory(equality)]) ).
cnf(424,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[423,254]) ).
cnf(436,plain,
( sum(n0,sum(pred(n10),succ(n10))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[247,424,theory(equality)]) ).
cnf(437,plain,
( sum(sum(n10,succ(n10)),sum(pred(n10),n1)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[251,424,theory(equality)]) ).
cnf(440,plain,
( n9 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[436,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),193,theory(equality)]) ).
cnf(441,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[437,214,theory(equality)]),92,theory(equality)]),203,theory(equality)]),102,theory(equality)]),82,theory(equality)]) ).
cnf(442,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n9),succ(n9))) = esk6_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,440,theory(equality)]) ).
cnf(443,plain,
( sum(sum(pred(esk3_0),succ(n9)),sum(pred(n9),succ(esk3_0))) = esk5_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,440,theory(equality)]) ).
cnf(444,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n7) = esk6_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[442,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(445,plain,
( sum(sum(pred(esk3_0),n10),sum(n8,succ(esk3_0))) = esk5_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[443,215,theory(equality)]),204,theory(equality)]) ).
cnf(462,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[444,441,theory(equality)]) ).
cnf(463,plain,
( n3 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[462,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(464,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n3),succ(n3))) = esk8_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,463,theory(equality)]) ).
cnf(465,plain,
( sum(sum(pred(esk5_0),succ(n3)),sum(pred(n3),succ(esk5_0))) = esk7_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,463,theory(equality)]) ).
cnf(466,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n6) = esk8_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[464,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(467,plain,
( sum(sum(pred(esk5_0),n4),sum(n2,succ(esk5_0))) = esk7_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[465,221,theory(equality)]),210,theory(equality)]) ).
cnf(482,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[445,441,theory(equality)]) ).
cnf(483,plain,
( n3 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[482,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(486,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[466,483,theory(equality)]) ).
cnf(489,plain,
( n1 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[486,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(490,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n1),succ(n1))) = esk10_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,489,theory(equality)]) ).
cnf(491,plain,
( sum(sum(pred(esk7_0),succ(n1)),sum(pred(n1),succ(esk7_0))) = esk9_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,489,theory(equality)]) ).
cnf(492,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n2) = esk10_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[490,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(493,plain,
( sum(sum(pred(esk7_0),n2),sum(n0,succ(esk7_0))) = esk9_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[491,223,theory(equality)]),212,theory(equality)]) ).
cnf(498,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[467,483,theory(equality)]) ).
cnf(499,plain,
( n1 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[498,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(502,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[492,499,theory(equality)]) ).
cnf(505,plain,
( n4 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[502,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(506,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n4),succ(n4))) = esk12_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,505,theory(equality)]) ).
cnf(507,plain,
( sum(sum(pred(esk9_0),succ(n4)),sum(pred(n4),succ(esk9_0))) = esk11_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,505,theory(equality)]) ).
cnf(508,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n8) = esk12_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[506,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(509,plain,
( sum(sum(pred(esk9_0),n5),sum(n3,succ(esk9_0))) = esk11_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[507,220,theory(equality)]),209,theory(equality)]) ).
cnf(514,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[493,499,theory(equality)]) ).
cnf(515,plain,
( n4 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[514,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(520,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[508,515,theory(equality)]) ).
cnf(523,plain,
( n5 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[520,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(524,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n5),succ(n5))) = esk14_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,523,theory(equality)]) ).
cnf(525,plain,
( sum(sum(pred(esk11_0),succ(n5)),sum(pred(n5),succ(esk11_0))) = esk13_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,523,theory(equality)]) ).
cnf(526,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n10) = esk14_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[524,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(527,plain,
( sum(sum(pred(esk11_0),n6),sum(n4,succ(esk11_0))) = esk13_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[525,219,theory(equality)]),208,theory(equality)]) ).
cnf(530,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[509,515,theory(equality)]) ).
cnf(531,plain,
( n5 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[530,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(534,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[526,531,theory(equality)]) ).
cnf(537,plain,
( n9 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[534,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(540,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n9),succ(n9))) = esk16_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,537,theory(equality)]) ).
cnf(541,plain,
( sum(sum(pred(esk13_0),succ(n9)),sum(pred(n9),succ(esk13_0))) = esk15_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,537,theory(equality)]) ).
cnf(542,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n7) = esk16_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[540,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(543,plain,
( sum(sum(pred(esk13_0),n10),sum(n8,succ(esk13_0))) = esk15_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[541,215,theory(equality)]),204,theory(equality)]) ).
cnf(546,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[527,531,theory(equality)]) ).
cnf(547,plain,
( n9 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[546,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(550,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[542,547,theory(equality)]) ).
cnf(553,plain,
( n3 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[550,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(554,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n3),succ(n3))) = esk18_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,553,theory(equality)]) ).
cnf(555,plain,
( sum(sum(pred(esk15_0),succ(n3)),sum(pred(n3),succ(esk15_0))) = esk17_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,553,theory(equality)]) ).
cnf(556,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n6) = esk18_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[554,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(557,plain,
( sum(sum(pred(esk15_0),n4),sum(n2,succ(esk15_0))) = esk17_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[555,221,theory(equality)]),210,theory(equality)]) ).
cnf(562,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[543,547,theory(equality)]) ).
cnf(563,plain,
( n3 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[562,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(566,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[556,563,theory(equality)]) ).
cnf(569,plain,
( n1 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[566,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(570,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n1),succ(n1))) = esk20_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,569,theory(equality)]) ).
cnf(571,plain,
( sum(sum(pred(esk17_0),succ(n1)),sum(pred(n1),succ(esk17_0))) = esk19_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,569,theory(equality)]) ).
cnf(572,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n2) = esk20_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[570,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(573,plain,
( sum(sum(pred(esk17_0),n2),sum(n0,succ(esk17_0))) = esk19_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[571,223,theory(equality)]),212,theory(equality)]) ).
cnf(578,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[557,563,theory(equality)]) ).
cnf(579,plain,
( n1 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[578,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(582,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[572,579,theory(equality)]) ).
cnf(585,plain,
( n4 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[582,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(586,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n4),succ(n4))) = esk22_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,585,theory(equality)]) ).
cnf(587,plain,
( sum(sum(pred(esk19_0),succ(n4)),sum(pred(n4),succ(esk19_0))) = esk21_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,585,theory(equality)]) ).
cnf(588,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n8) = esk22_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[586,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(589,plain,
( sum(sum(pred(esk19_0),n5),sum(n3,succ(esk19_0))) = esk21_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[587,220,theory(equality)]),209,theory(equality)]) ).
cnf(594,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[573,579,theory(equality)]) ).
cnf(595,plain,
( n4 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[594,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(598,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[588,595,theory(equality)]) ).
cnf(601,plain,
( n5 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[598,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(606,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[589,595,theory(equality)]) ).
cnf(607,plain,
( n5 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[606,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(608,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n5 != esk22_0 ),
inference(spm,[status(thm)],[59,607,theory(equality)]) ).
cnf(611,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[608,601]) ).
cnf(612,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n4 != esk20_0 ),
inference(spm,[status(thm)],[611,595,theory(equality)]) ).
cnf(613,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[612,585]) ).
cnf(614,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n1 != esk18_0 ),
inference(spm,[status(thm)],[613,579,theory(equality)]) ).
cnf(615,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[614,569]) ).
cnf(616,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n3 != esk16_0 ),
inference(spm,[status(thm)],[615,563,theory(equality)]) ).
cnf(617,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[616,553]) ).
cnf(618,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n9 != esk14_0 ),
inference(spm,[status(thm)],[617,547,theory(equality)]) ).
cnf(619,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[618,537]) ).
cnf(620,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n5 != esk12_0 ),
inference(spm,[status(thm)],[619,531,theory(equality)]) ).
cnf(621,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[620,523]) ).
cnf(622,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n4 != esk10_0 ),
inference(spm,[status(thm)],[621,515,theory(equality)]) ).
cnf(623,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[622,505]) ).
cnf(624,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n1 != esk8_0 ),
inference(spm,[status(thm)],[623,499,theory(equality)]) ).
cnf(625,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[624,489]) ).
cnf(626,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n3 != esk6_0 ),
inference(spm,[status(thm)],[625,483,theory(equality)]) ).
cnf(627,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[626,463]) ).
cnf(628,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| n9 != esk4_0 ),
inference(spm,[status(thm)],[627,441,theory(equality)]) ).
cnf(629,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(csr,[status(thm)],[628,440]) ).
cnf(640,plain,
( sum(n0,sum(pred(n9),succ(n9))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[247,629,theory(equality)]) ).
cnf(641,plain,
( sum(sum(n10,succ(n9)),sum(pred(n9),n1)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[251,629,theory(equality)]) ).
cnf(644,plain,
( n7 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[640,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),195,theory(equality)]) ).
cnf(645,plain,
( n7 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[641,215,theory(equality)]),82,theory(equality)]),204,theory(equality)]),113,theory(equality)]),94,theory(equality)]) ).
cnf(646,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n7),succ(n7))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,644,theory(equality)]) ).
cnf(647,plain,
( sum(sum(pred(esk3_0),succ(n7)),sum(pred(n7),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,644,theory(equality)]) ).
cnf(648,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n3) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[646,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(649,plain,
( sum(sum(pred(esk3_0),n8),sum(n6,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[647,217,theory(equality)]),206,theory(equality)]) ).
cnf(678,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[648,645,theory(equality)]) ).
cnf(679,plain,
( n6 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[678,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(680,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n6),succ(n6))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,679,theory(equality)]) ).
cnf(681,plain,
( sum(sum(pred(esk5_0),succ(n6)),sum(pred(n6),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,679,theory(equality)]) ).
cnf(682,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n1) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[680,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(683,plain,
( sum(sum(pred(esk5_0),n7),sum(n5,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[681,218,theory(equality)]),207,theory(equality)]) ).
cnf(686,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[649,645,theory(equality)]) ).
cnf(687,plain,
( n6 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[686,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(690,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[682,687,theory(equality)]) ).
cnf(693,plain,
( n2 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[690,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(696,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n2),succ(n2))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,693,theory(equality)]) ).
cnf(697,plain,
( sum(sum(pred(esk7_0),succ(n2)),sum(pred(n2),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,693,theory(equality)]) ).
cnf(698,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n4) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[696,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(699,plain,
( sum(sum(pred(esk7_0),n3),sum(n1,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[697,222,theory(equality)]),211,theory(equality)]) ).
cnf(702,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[683,687,theory(equality)]) ).
cnf(703,plain,
( n2 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[702,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(706,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[698,703,theory(equality)]) ).
cnf(709,plain,
( n8 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[706,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(710,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n8),succ(n8))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,709,theory(equality)]) ).
cnf(711,plain,
( sum(sum(pred(esk9_0),succ(n8)),sum(pred(n8),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,709,theory(equality)]) ).
cnf(712,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n5) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[710,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(713,plain,
( sum(sum(pred(esk9_0),n9),sum(n7,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[711,216,theory(equality)]),205,theory(equality)]) ).
cnf(718,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[699,703,theory(equality)]) ).
cnf(719,plain,
( n8 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[718,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(722,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[712,719,theory(equality)]) ).
cnf(725,plain,
( n10 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[722,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(726,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n10),succ(n10))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,725,theory(equality)]) ).
cnf(727,plain,
( sum(sum(pred(esk11_0),succ(n10)),sum(pred(n10),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,725,theory(equality)]) ).
cnf(728,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n9) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[726,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(729,plain,
( sum(sum(pred(esk11_0),n0),sum(n9,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[727,214,theory(equality)]),203,theory(equality)]) ).
cnf(734,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[713,719,theory(equality)]) ).
cnf(735,plain,
( n10 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[734,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(738,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[728,735,theory(equality)]) ).
cnf(741,plain,
( n7 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[738,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(742,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n7),succ(n7))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,741,theory(equality)]) ).
cnf(743,plain,
( sum(sum(pred(esk13_0),succ(n7)),sum(pred(n7),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,741,theory(equality)]) ).
cnf(744,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n3) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[742,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(745,plain,
( sum(sum(pred(esk13_0),n8),sum(n6,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[743,217,theory(equality)]),206,theory(equality)]) ).
cnf(750,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[729,735,theory(equality)]) ).
cnf(751,plain,
( n7 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[750,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(754,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[744,751,theory(equality)]) ).
cnf(757,plain,
( n6 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[754,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(758,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n6),succ(n6))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,757,theory(equality)]) ).
cnf(759,plain,
( sum(sum(pred(esk15_0),succ(n6)),sum(pred(n6),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,757,theory(equality)]) ).
cnf(760,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n1) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[758,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(761,plain,
( sum(sum(pred(esk15_0),n7),sum(n5,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[759,218,theory(equality)]),207,theory(equality)]) ).
cnf(766,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[745,751,theory(equality)]) ).
cnf(767,plain,
( n6 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[766,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(770,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[760,767,theory(equality)]) ).
cnf(773,plain,
( n2 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[770,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(774,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n2),succ(n2))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,773,theory(equality)]) ).
cnf(775,plain,
( sum(sum(pred(esk17_0),succ(n2)),sum(pred(n2),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,773,theory(equality)]) ).
cnf(776,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n4) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[774,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(777,plain,
( sum(sum(pred(esk17_0),n3),sum(n1,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[775,222,theory(equality)]),211,theory(equality)]) ).
cnf(782,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[761,767,theory(equality)]) ).
cnf(783,plain,
( n2 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[782,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(786,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[776,783,theory(equality)]) ).
cnf(789,plain,
( n8 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[786,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(790,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n8),succ(n8))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,789,theory(equality)]) ).
cnf(791,plain,
( sum(sum(pred(esk19_0),succ(n8)),sum(pred(n8),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,789,theory(equality)]) ).
cnf(792,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n5) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[790,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(793,plain,
( sum(sum(pred(esk19_0),n9),sum(n7,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[791,216,theory(equality)]),205,theory(equality)]) ).
cnf(798,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[777,783,theory(equality)]) ).
cnf(799,plain,
( n8 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[798,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(802,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[792,799,theory(equality)]) ).
cnf(805,plain,
( n10 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[802,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(810,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[793,799,theory(equality)]) ).
cnf(811,plain,
( n10 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[810,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(812,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n10 != esk22_0 ),
inference(spm,[status(thm)],[59,811,theory(equality)]) ).
cnf(815,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[812,805]) ).
cnf(816,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n8 != esk20_0 ),
inference(spm,[status(thm)],[815,799,theory(equality)]) ).
cnf(817,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[816,789]) ).
cnf(818,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n2 != esk18_0 ),
inference(spm,[status(thm)],[817,783,theory(equality)]) ).
cnf(819,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[818,773]) ).
cnf(820,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n6 != esk16_0 ),
inference(spm,[status(thm)],[819,767,theory(equality)]) ).
cnf(821,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[820,757]) ).
cnf(822,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n7 != esk14_0 ),
inference(spm,[status(thm)],[821,751,theory(equality)]) ).
cnf(823,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[822,741]) ).
cnf(824,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n10 != esk12_0 ),
inference(spm,[status(thm)],[823,735,theory(equality)]) ).
cnf(825,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[824,725]) ).
cnf(826,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n8 != esk10_0 ),
inference(spm,[status(thm)],[825,719,theory(equality)]) ).
cnf(827,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[826,709]) ).
cnf(828,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n2 != esk8_0 ),
inference(spm,[status(thm)],[827,703,theory(equality)]) ).
cnf(829,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[828,693]) ).
cnf(830,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n6 != esk6_0 ),
inference(spm,[status(thm)],[829,687,theory(equality)]) ).
cnf(831,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[830,679]) ).
cnf(832,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n7 != esk4_0 ),
inference(spm,[status(thm)],[831,645,theory(equality)]) ).
cnf(833,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[832,644]) ).
cnf(843,plain,
( sum(n0,sum(pred(n8),succ(n8))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[247,833,theory(equality)]) ).
cnf(844,plain,
( sum(sum(n10,succ(n8)),sum(pred(n8),n1)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[251,833,theory(equality)]) ).
cnf(847,plain,
( n5 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[843,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),197,theory(equality)]) ).
cnf(848,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[844,216,theory(equality)]),83,theory(equality)]),205,theory(equality)]),124,theory(equality)]),106,theory(equality)]) ).
cnf(849,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n5),succ(n5))) = esk6_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,847,theory(equality)]) ).
cnf(850,plain,
( sum(sum(pred(esk3_0),succ(n5)),sum(pred(n5),succ(esk3_0))) = esk5_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,847,theory(equality)]) ).
cnf(851,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n10) = esk6_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[849,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(852,plain,
( sum(sum(pred(esk3_0),n6),sum(n4,succ(esk3_0))) = esk5_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[850,219,theory(equality)]),208,theory(equality)]) ).
cnf(869,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[851,848,theory(equality)]) ).
cnf(870,plain,
( n9 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[869,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(871,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n9),succ(n9))) = esk8_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,870,theory(equality)]) ).
cnf(872,plain,
( sum(sum(pred(esk5_0),succ(n9)),sum(pred(n9),succ(esk5_0))) = esk7_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,870,theory(equality)]) ).
cnf(873,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n7) = esk8_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[871,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(874,plain,
( sum(sum(pred(esk5_0),n10),sum(n8,succ(esk5_0))) = esk7_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[872,215,theory(equality)]),204,theory(equality)]) ).
cnf(889,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[852,848,theory(equality)]) ).
cnf(890,plain,
( n9 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[889,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(893,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[873,890,theory(equality)]) ).
cnf(896,plain,
( n3 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[893,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(897,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n3),succ(n3))) = esk10_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,896,theory(equality)]) ).
cnf(898,plain,
( sum(sum(pred(esk7_0),succ(n3)),sum(pred(n3),succ(esk7_0))) = esk9_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,896,theory(equality)]) ).
cnf(899,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n6) = esk10_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[897,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(900,plain,
( sum(sum(pred(esk7_0),n4),sum(n2,succ(esk7_0))) = esk9_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[898,221,theory(equality)]),210,theory(equality)]) ).
cnf(905,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[874,890,theory(equality)]) ).
cnf(906,plain,
( n3 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[905,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(909,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[899,906,theory(equality)]) ).
cnf(912,plain,
( n1 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[909,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(913,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n1),succ(n1))) = esk12_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,912,theory(equality)]) ).
cnf(914,plain,
( sum(sum(pred(esk9_0),succ(n1)),sum(pred(n1),succ(esk9_0))) = esk11_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,912,theory(equality)]) ).
cnf(915,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n2) = esk12_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[913,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(916,plain,
( sum(sum(pred(esk9_0),n2),sum(n0,succ(esk9_0))) = esk11_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[914,223,theory(equality)]),212,theory(equality)]) ).
cnf(921,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[900,906,theory(equality)]) ).
cnf(922,plain,
( n1 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[921,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(925,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[915,922,theory(equality)]) ).
cnf(928,plain,
( n4 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[925,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(929,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n4),succ(n4))) = esk14_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,928,theory(equality)]) ).
cnf(930,plain,
( sum(sum(pred(esk11_0),succ(n4)),sum(pred(n4),succ(esk11_0))) = esk13_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,928,theory(equality)]) ).
cnf(931,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n8) = esk14_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[929,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(932,plain,
( sum(sum(pred(esk11_0),n5),sum(n3,succ(esk11_0))) = esk13_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[930,220,theory(equality)]),209,theory(equality)]) ).
cnf(937,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[916,922,theory(equality)]) ).
cnf(938,plain,
( n4 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[937,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(941,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[931,938,theory(equality)]) ).
cnf(944,plain,
( n5 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[941,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(945,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n5),succ(n5))) = esk16_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,944,theory(equality)]) ).
cnf(946,plain,
( sum(sum(pred(esk13_0),succ(n5)),sum(pred(n5),succ(esk13_0))) = esk15_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,944,theory(equality)]) ).
cnf(947,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n10) = esk16_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[945,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(948,plain,
( sum(sum(pred(esk13_0),n6),sum(n4,succ(esk13_0))) = esk15_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[946,219,theory(equality)]),208,theory(equality)]) ).
cnf(953,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[932,938,theory(equality)]) ).
cnf(954,plain,
( n5 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[953,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(959,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[947,954,theory(equality)]) ).
cnf(962,plain,
( n9 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[959,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(963,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n9),succ(n9))) = esk18_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,962,theory(equality)]) ).
cnf(964,plain,
( sum(sum(pred(esk15_0),succ(n9)),sum(pred(n9),succ(esk15_0))) = esk17_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,962,theory(equality)]) ).
cnf(965,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n7) = esk18_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[963,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(966,plain,
( sum(sum(pred(esk15_0),n10),sum(n8,succ(esk15_0))) = esk17_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[964,215,theory(equality)]),204,theory(equality)]) ).
cnf(969,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[948,954,theory(equality)]) ).
cnf(970,plain,
( n9 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[969,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(973,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[965,970,theory(equality)]) ).
cnf(976,plain,
( n3 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[973,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(979,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n3),succ(n3))) = esk20_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,976,theory(equality)]) ).
cnf(980,plain,
( sum(sum(pred(esk17_0),succ(n3)),sum(pred(n3),succ(esk17_0))) = esk19_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,976,theory(equality)]) ).
cnf(981,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n6) = esk20_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[979,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(982,plain,
( sum(sum(pred(esk17_0),n4),sum(n2,succ(esk17_0))) = esk19_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[980,221,theory(equality)]),210,theory(equality)]) ).
cnf(985,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[966,970,theory(equality)]) ).
cnf(986,plain,
( n3 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[985,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(989,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[981,986,theory(equality)]) ).
cnf(992,plain,
( n1 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[989,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(993,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n1),succ(n1))) = esk22_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,992,theory(equality)]) ).
cnf(994,plain,
( sum(sum(pred(esk19_0),succ(n1)),sum(pred(n1),succ(esk19_0))) = esk21_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,992,theory(equality)]) ).
cnf(995,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n2) = esk22_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[993,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(996,plain,
( sum(sum(pred(esk19_0),n2),sum(n0,succ(esk19_0))) = esk21_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[994,223,theory(equality)]),212,theory(equality)]) ).
cnf(1001,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[982,986,theory(equality)]) ).
cnf(1002,plain,
( n1 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1001,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(1005,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[995,1002,theory(equality)]) ).
cnf(1008,plain,
( n4 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1005,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(1013,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[996,1002,theory(equality)]) ).
cnf(1014,plain,
( n4 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1013,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(1015,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n4 != esk22_0 ),
inference(spm,[status(thm)],[59,1014,theory(equality)]) ).
cnf(1016,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[1015,1008]) ).
cnf(1017,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n1 != esk20_0 ),
inference(spm,[status(thm)],[1016,1002,theory(equality)]) ).
cnf(1018,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[1017,992]) ).
cnf(1019,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n3 != esk18_0 ),
inference(spm,[status(thm)],[1018,986,theory(equality)]) ).
cnf(1020,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[1019,976]) ).
cnf(1021,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n9 != esk16_0 ),
inference(spm,[status(thm)],[1020,970,theory(equality)]) ).
cnf(1024,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[1021,962]) ).
cnf(1025,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n5 != esk14_0 ),
inference(spm,[status(thm)],[1024,954,theory(equality)]) ).
cnf(1026,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[1025,944]) ).
cnf(1027,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n4 != esk12_0 ),
inference(spm,[status(thm)],[1026,938,theory(equality)]) ).
cnf(1028,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[1027,928]) ).
cnf(1029,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n1 != esk10_0 ),
inference(spm,[status(thm)],[1028,922,theory(equality)]) ).
cnf(1030,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[1029,912]) ).
cnf(1031,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n3 != esk8_0 ),
inference(spm,[status(thm)],[1030,906,theory(equality)]) ).
cnf(1032,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[1031,896]) ).
cnf(1033,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n9 != esk6_0 ),
inference(spm,[status(thm)],[1032,890,theory(equality)]) ).
cnf(1034,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[1033,870]) ).
cnf(1035,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| n5 != esk4_0 ),
inference(spm,[status(thm)],[1034,848,theory(equality)]) ).
cnf(1036,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(csr,[status(thm)],[1035,847]) ).
cnf(1045,plain,
( sum(n0,sum(pred(n7),succ(n7))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[247,1036,theory(equality)]) ).
cnf(1046,plain,
( sum(sum(n10,succ(n7)),sum(pred(n7),n1)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[251,1036,theory(equality)]) ).
cnf(1049,plain,
( n3 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1045,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),199,theory(equality)]) ).
cnf(1050,plain,
( n3 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1046,217,theory(equality)]),84,theory(equality)]),206,theory(equality)]),135,theory(equality)]),118,theory(equality)]) ).
cnf(1051,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n3),succ(n3))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,1049,theory(equality)]) ).
cnf(1052,plain,
( sum(sum(pred(esk3_0),succ(n3)),sum(pred(n3),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,1049,theory(equality)]) ).
cnf(1053,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n6) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1051,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(1054,plain,
( sum(sum(pred(esk3_0),n4),sum(n2,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1052,221,theory(equality)]),210,theory(equality)]) ).
cnf(1083,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1053,1050,theory(equality)]) ).
cnf(1084,plain,
( n1 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1083,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(1085,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n1),succ(n1))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,1084,theory(equality)]) ).
cnf(1086,plain,
( sum(sum(pred(esk5_0),succ(n1)),sum(pred(n1),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,1084,theory(equality)]) ).
cnf(1087,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n2) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1085,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(1088,plain,
( sum(sum(pred(esk5_0),n2),sum(n0,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1086,223,theory(equality)]),212,theory(equality)]) ).
cnf(1091,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1054,1050,theory(equality)]) ).
cnf(1092,plain,
( n1 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1091,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(1095,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1087,1092,theory(equality)]) ).
cnf(1098,plain,
( n4 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1095,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(1101,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n4),succ(n4))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,1098,theory(equality)]) ).
cnf(1102,plain,
( sum(sum(pred(esk7_0),succ(n4)),sum(pred(n4),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,1098,theory(equality)]) ).
cnf(1103,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n8) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1101,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(1104,plain,
( sum(sum(pred(esk7_0),n5),sum(n3,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1102,220,theory(equality)]),209,theory(equality)]) ).
cnf(1107,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1088,1092,theory(equality)]) ).
cnf(1108,plain,
( n4 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1107,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(1111,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1103,1108,theory(equality)]) ).
cnf(1114,plain,
( n5 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1111,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(1115,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n5),succ(n5))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,1114,theory(equality)]) ).
cnf(1116,plain,
( sum(sum(pred(esk9_0),succ(n5)),sum(pred(n5),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,1114,theory(equality)]) ).
cnf(1117,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n10) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1115,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(1118,plain,
( sum(sum(pred(esk9_0),n6),sum(n4,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1116,219,theory(equality)]),208,theory(equality)]) ).
cnf(1123,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1104,1108,theory(equality)]) ).
cnf(1124,plain,
( n5 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1123,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(1127,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1117,1124,theory(equality)]) ).
cnf(1130,plain,
( n9 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1127,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(1131,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n9),succ(n9))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,1130,theory(equality)]) ).
cnf(1132,plain,
( sum(sum(pred(esk11_0),succ(n9)),sum(pred(n9),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,1130,theory(equality)]) ).
cnf(1133,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n7) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1131,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(1134,plain,
( sum(sum(pred(esk11_0),n10),sum(n8,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1132,215,theory(equality)]),204,theory(equality)]) ).
cnf(1139,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1118,1124,theory(equality)]) ).
cnf(1140,plain,
( n9 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1139,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(1143,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1133,1140,theory(equality)]) ).
cnf(1146,plain,
( n3 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1143,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(1147,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n3),succ(n3))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,1146,theory(equality)]) ).
cnf(1148,plain,
( sum(sum(pred(esk13_0),succ(n3)),sum(pred(n3),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,1146,theory(equality)]) ).
cnf(1149,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n6) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1147,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(1150,plain,
( sum(sum(pred(esk13_0),n4),sum(n2,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1148,221,theory(equality)]),210,theory(equality)]) ).
cnf(1155,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1134,1140,theory(equality)]) ).
cnf(1156,plain,
( n3 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1155,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(1159,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1149,1156,theory(equality)]) ).
cnf(1162,plain,
( n1 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1159,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(1163,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n1),succ(n1))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,1162,theory(equality)]) ).
cnf(1164,plain,
( sum(sum(pred(esk15_0),succ(n1)),sum(pred(n1),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,1162,theory(equality)]) ).
cnf(1165,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n2) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1163,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(1166,plain,
( sum(sum(pred(esk15_0),n2),sum(n0,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1164,223,theory(equality)]),212,theory(equality)]) ).
cnf(1171,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1150,1156,theory(equality)]) ).
cnf(1172,plain,
( n1 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1171,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(1175,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1165,1172,theory(equality)]) ).
cnf(1178,plain,
( n4 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1175,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(1179,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n4),succ(n4))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,1178,theory(equality)]) ).
cnf(1180,plain,
( sum(sum(pred(esk17_0),succ(n4)),sum(pred(n4),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,1178,theory(equality)]) ).
cnf(1181,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n8) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1179,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(1182,plain,
( sum(sum(pred(esk17_0),n5),sum(n3,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1180,220,theory(equality)]),209,theory(equality)]) ).
cnf(1187,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1166,1172,theory(equality)]) ).
cnf(1188,plain,
( n4 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1187,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(1191,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1181,1188,theory(equality)]) ).
cnf(1194,plain,
( n5 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1191,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(1195,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n5),succ(n5))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,1194,theory(equality)]) ).
cnf(1196,plain,
( sum(sum(pred(esk19_0),succ(n5)),sum(pred(n5),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,1194,theory(equality)]) ).
cnf(1197,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n10) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1195,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(1198,plain,
( sum(sum(pred(esk19_0),n6),sum(n4,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1196,219,theory(equality)]),208,theory(equality)]) ).
cnf(1203,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1182,1188,theory(equality)]) ).
cnf(1204,plain,
( n5 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1203,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(1207,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1197,1204,theory(equality)]) ).
cnf(1210,plain,
( n9 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1207,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(1215,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1198,1204,theory(equality)]) ).
cnf(1216,plain,
( n9 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1215,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(1217,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n9 != esk22_0 ),
inference(spm,[status(thm)],[59,1216,theory(equality)]) ).
cnf(1220,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[1217,1210]) ).
cnf(1221,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n5 != esk20_0 ),
inference(spm,[status(thm)],[1220,1204,theory(equality)]) ).
cnf(1222,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[1221,1194]) ).
cnf(1223,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n4 != esk18_0 ),
inference(spm,[status(thm)],[1222,1188,theory(equality)]) ).
cnf(1224,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[1223,1178]) ).
cnf(1225,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n1 != esk16_0 ),
inference(spm,[status(thm)],[1224,1172,theory(equality)]) ).
cnf(1226,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[1225,1162]) ).
cnf(1227,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n3 != esk14_0 ),
inference(spm,[status(thm)],[1226,1156,theory(equality)]) ).
cnf(1228,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[1227,1146]) ).
cnf(1229,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n9 != esk12_0 ),
inference(spm,[status(thm)],[1228,1140,theory(equality)]) ).
cnf(1230,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[1229,1130]) ).
cnf(1231,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n5 != esk10_0 ),
inference(spm,[status(thm)],[1230,1124,theory(equality)]) ).
cnf(1232,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[1231,1114]) ).
cnf(1233,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n4 != esk8_0 ),
inference(spm,[status(thm)],[1232,1108,theory(equality)]) ).
cnf(1234,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[1233,1098]) ).
cnf(1235,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n1 != esk6_0 ),
inference(spm,[status(thm)],[1234,1092,theory(equality)]) ).
cnf(1236,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[1235,1084]) ).
cnf(1237,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n3 != esk4_0 ),
inference(spm,[status(thm)],[1236,1050,theory(equality)]) ).
cnf(1238,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[1237,1049]) ).
cnf(1246,plain,
( sum(n0,sum(pred(n6),succ(n6))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[247,1238,theory(equality)]) ).
cnf(1247,plain,
( sum(sum(n10,succ(n6)),sum(pred(n6),n1)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[251,1238,theory(equality)]) ).
cnf(1250,plain,
( n1 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1246,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),201,theory(equality)]) ).
cnf(1251,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1247,218,theory(equality)]),85,theory(equality)]),207,theory(equality)]),146,theory(equality)]),130,theory(equality)]) ).
cnf(1252,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n1),succ(n1))) = esk6_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,1250,theory(equality)]) ).
cnf(1253,plain,
( sum(sum(pred(esk3_0),succ(n1)),sum(pred(n1),succ(esk3_0))) = esk5_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,1250,theory(equality)]) ).
cnf(1254,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n2) = esk6_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1252,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(1255,plain,
( sum(sum(pred(esk3_0),n2),sum(n0,succ(esk3_0))) = esk5_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1253,223,theory(equality)]),212,theory(equality)]) ).
cnf(1272,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1254,1251,theory(equality)]) ).
cnf(1273,plain,
( n4 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1272,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(1274,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n4),succ(n4))) = esk8_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,1273,theory(equality)]) ).
cnf(1275,plain,
( sum(sum(pred(esk5_0),succ(n4)),sum(pred(n4),succ(esk5_0))) = esk7_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,1273,theory(equality)]) ).
cnf(1276,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n8) = esk8_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1274,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(1277,plain,
( sum(sum(pred(esk5_0),n5),sum(n3,succ(esk5_0))) = esk7_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1275,220,theory(equality)]),209,theory(equality)]) ).
cnf(1292,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1255,1251,theory(equality)]) ).
cnf(1293,plain,
( n4 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1292,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(1296,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1276,1293,theory(equality)]) ).
cnf(1299,plain,
( n5 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1296,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(1300,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n5),succ(n5))) = esk10_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,1299,theory(equality)]) ).
cnf(1301,plain,
( sum(sum(pred(esk7_0),succ(n5)),sum(pred(n5),succ(esk7_0))) = esk9_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,1299,theory(equality)]) ).
cnf(1302,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n10) = esk10_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1300,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(1303,plain,
( sum(sum(pred(esk7_0),n6),sum(n4,succ(esk7_0))) = esk9_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1301,219,theory(equality)]),208,theory(equality)]) ).
cnf(1308,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1277,1293,theory(equality)]) ).
cnf(1309,plain,
( n5 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1308,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(1312,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1302,1309,theory(equality)]) ).
cnf(1315,plain,
( n9 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1312,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(1316,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n9),succ(n9))) = esk12_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,1315,theory(equality)]) ).
cnf(1317,plain,
( sum(sum(pred(esk9_0),succ(n9)),sum(pred(n9),succ(esk9_0))) = esk11_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,1315,theory(equality)]) ).
cnf(1318,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n7) = esk12_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1316,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(1319,plain,
( sum(sum(pred(esk9_0),n10),sum(n8,succ(esk9_0))) = esk11_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1317,215,theory(equality)]),204,theory(equality)]) ).
cnf(1324,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1303,1309,theory(equality)]) ).
cnf(1325,plain,
( n9 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1324,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(1330,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1318,1325,theory(equality)]) ).
cnf(1333,plain,
( n3 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1330,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(1334,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n3),succ(n3))) = esk14_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,1333,theory(equality)]) ).
cnf(1335,plain,
( sum(sum(pred(esk11_0),succ(n3)),sum(pred(n3),succ(esk11_0))) = esk13_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,1333,theory(equality)]) ).
cnf(1336,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n6) = esk14_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1334,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(1337,plain,
( sum(sum(pred(esk11_0),n4),sum(n2,succ(esk11_0))) = esk13_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1335,221,theory(equality)]),210,theory(equality)]) ).
cnf(1340,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1319,1325,theory(equality)]) ).
cnf(1341,plain,
( n3 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1340,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(1344,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1336,1341,theory(equality)]) ).
cnf(1347,plain,
( n1 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1344,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(1350,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n1),succ(n1))) = esk16_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,1347,theory(equality)]) ).
cnf(1351,plain,
( sum(sum(pred(esk13_0),succ(n1)),sum(pred(n1),succ(esk13_0))) = esk15_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,1347,theory(equality)]) ).
cnf(1352,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n2) = esk16_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1350,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(1353,plain,
( sum(sum(pred(esk13_0),n2),sum(n0,succ(esk13_0))) = esk15_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1351,223,theory(equality)]),212,theory(equality)]) ).
cnf(1356,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1337,1341,theory(equality)]) ).
cnf(1357,plain,
( n1 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1356,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(1360,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1352,1357,theory(equality)]) ).
cnf(1363,plain,
( n4 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1360,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(1364,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n4),succ(n4))) = esk18_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,1363,theory(equality)]) ).
cnf(1365,plain,
( sum(sum(pred(esk15_0),succ(n4)),sum(pred(n4),succ(esk15_0))) = esk17_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,1363,theory(equality)]) ).
cnf(1366,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n8) = esk18_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1364,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(1367,plain,
( sum(sum(pred(esk15_0),n5),sum(n3,succ(esk15_0))) = esk17_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1365,220,theory(equality)]),209,theory(equality)]) ).
cnf(1372,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1353,1357,theory(equality)]) ).
cnf(1373,plain,
( n4 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1372,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(1376,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1366,1373,theory(equality)]) ).
cnf(1379,plain,
( n5 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1376,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(1380,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n5),succ(n5))) = esk20_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,1379,theory(equality)]) ).
cnf(1381,plain,
( sum(sum(pred(esk17_0),succ(n5)),sum(pred(n5),succ(esk17_0))) = esk19_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,1379,theory(equality)]) ).
cnf(1382,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n10) = esk20_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1380,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(1383,plain,
( sum(sum(pred(esk17_0),n6),sum(n4,succ(esk17_0))) = esk19_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1381,219,theory(equality)]),208,theory(equality)]) ).
cnf(1388,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1367,1373,theory(equality)]) ).
cnf(1389,plain,
( n5 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1388,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(1392,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1382,1389,theory(equality)]) ).
cnf(1395,plain,
( n9 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1392,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(1396,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n9),succ(n9))) = esk22_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,1395,theory(equality)]) ).
cnf(1397,plain,
( sum(sum(pred(esk19_0),succ(n9)),sum(pred(n9),succ(esk19_0))) = esk21_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,1395,theory(equality)]) ).
cnf(1398,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n7) = esk22_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1396,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(1399,plain,
( sum(sum(pred(esk19_0),n10),sum(n8,succ(esk19_0))) = esk21_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1397,215,theory(equality)]),204,theory(equality)]) ).
cnf(1404,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1383,1389,theory(equality)]) ).
cnf(1405,plain,
( n9 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1404,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(1408,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1398,1405,theory(equality)]) ).
cnf(1411,plain,
( n3 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1408,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(1416,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[1399,1405,theory(equality)]) ).
cnf(1417,plain,
( n3 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1416,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(1418,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n3 != esk22_0 ),
inference(spm,[status(thm)],[59,1417,theory(equality)]) ).
cnf(1421,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[1418,1411]) ).
cnf(1422,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n9 != esk20_0 ),
inference(spm,[status(thm)],[1421,1405,theory(equality)]) ).
cnf(1423,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[1422,1395]) ).
cnf(1424,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n5 != esk18_0 ),
inference(spm,[status(thm)],[1423,1389,theory(equality)]) ).
cnf(1425,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[1424,1379]) ).
cnf(1426,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n4 != esk16_0 ),
inference(spm,[status(thm)],[1425,1373,theory(equality)]) ).
cnf(1427,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[1426,1363]) ).
cnf(1428,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n1 != esk14_0 ),
inference(spm,[status(thm)],[1427,1357,theory(equality)]) ).
cnf(1429,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[1428,1347]) ).
cnf(1430,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n3 != esk12_0 ),
inference(spm,[status(thm)],[1429,1341,theory(equality)]) ).
cnf(1431,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[1430,1333]) ).
cnf(1432,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n9 != esk10_0 ),
inference(spm,[status(thm)],[1431,1325,theory(equality)]) ).
cnf(1433,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[1432,1315]) ).
cnf(1434,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n5 != esk8_0 ),
inference(spm,[status(thm)],[1433,1309,theory(equality)]) ).
cnf(1435,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[1434,1299]) ).
cnf(1436,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n4 != esk6_0 ),
inference(spm,[status(thm)],[1435,1293,theory(equality)]) ).
cnf(1437,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[1436,1273]) ).
cnf(1438,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| n1 != esk4_0 ),
inference(spm,[status(thm)],[1437,1251,theory(equality)]) ).
cnf(1439,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(csr,[status(thm)],[1438,1250]) ).
cnf(1446,plain,
( sum(n0,sum(pred(n5),succ(n5))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[247,1439,theory(equality)]) ).
cnf(1447,plain,
( sum(sum(n10,succ(n5)),sum(pred(n5),n1)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[251,1439,theory(equality)]) ).
cnf(1450,plain,
( n10 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1446,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),192,theory(equality)]) ).
cnf(1451,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1447,219,theory(equality)]),86,theory(equality)]),208,theory(equality)]),157,theory(equality)]),142,theory(equality)]) ).
cnf(1452,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n10),succ(n10))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,1450,theory(equality)]) ).
cnf(1453,plain,
( sum(sum(pred(esk3_0),succ(n10)),sum(pred(n10),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,1450,theory(equality)]) ).
cnf(1454,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n9) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1452,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(1455,plain,
( sum(sum(pred(esk3_0),n0),sum(n9,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1453,214,theory(equality)]),203,theory(equality)]) ).
cnf(1472,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1454,1451,theory(equality)]) ).
cnf(1473,plain,
( n7 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1472,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(1474,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n7),succ(n7))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,1473,theory(equality)]) ).
cnf(1475,plain,
( sum(sum(pred(esk5_0),succ(n7)),sum(pred(n7),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,1473,theory(equality)]) ).
cnf(1476,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n3) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1474,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(1477,plain,
( sum(sum(pred(esk5_0),n8),sum(n6,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1475,217,theory(equality)]),206,theory(equality)]) ).
cnf(1492,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1455,1451,theory(equality)]) ).
cnf(1493,plain,
( n7 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1492,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(1496,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1476,1493,theory(equality)]) ).
cnf(1499,plain,
( n6 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1496,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(1500,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n6),succ(n6))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,1499,theory(equality)]) ).
cnf(1501,plain,
( sum(sum(pred(esk7_0),succ(n6)),sum(pred(n6),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,1499,theory(equality)]) ).
cnf(1502,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n1) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1500,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(1503,plain,
( sum(sum(pred(esk7_0),n7),sum(n5,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1501,218,theory(equality)]),207,theory(equality)]) ).
cnf(1508,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1477,1493,theory(equality)]) ).
cnf(1509,plain,
( n6 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1508,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(1512,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1502,1509,theory(equality)]) ).
cnf(1515,plain,
( n2 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1512,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1516,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n2),succ(n2))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,1515,theory(equality)]) ).
cnf(1517,plain,
( sum(sum(pred(esk9_0),succ(n2)),sum(pred(n2),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,1515,theory(equality)]) ).
cnf(1518,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n4) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1516,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(1519,plain,
( sum(sum(pred(esk9_0),n3),sum(n1,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1517,222,theory(equality)]),211,theory(equality)]) ).
cnf(1524,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1503,1509,theory(equality)]) ).
cnf(1525,plain,
( n2 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1524,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1528,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1518,1525,theory(equality)]) ).
cnf(1531,plain,
( n8 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1528,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(1532,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n8),succ(n8))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,1531,theory(equality)]) ).
cnf(1533,plain,
( sum(sum(pred(esk11_0),succ(n8)),sum(pred(n8),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,1531,theory(equality)]) ).
cnf(1534,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n5) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1532,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(1535,plain,
( sum(sum(pred(esk11_0),n9),sum(n7,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1533,216,theory(equality)]),205,theory(equality)]) ).
cnf(1540,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1519,1525,theory(equality)]) ).
cnf(1541,plain,
( n8 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1540,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(1544,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1534,1541,theory(equality)]) ).
cnf(1547,plain,
( n10 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1544,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(1548,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n10),succ(n10))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,1547,theory(equality)]) ).
cnf(1549,plain,
( sum(sum(pred(esk13_0),succ(n10)),sum(pred(n10),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,1547,theory(equality)]) ).
cnf(1550,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n9) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1548,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(1551,plain,
( sum(sum(pred(esk13_0),n0),sum(n9,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1549,214,theory(equality)]),203,theory(equality)]) ).
cnf(1556,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1535,1541,theory(equality)]) ).
cnf(1557,plain,
( n10 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1556,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(1562,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1550,1557,theory(equality)]) ).
cnf(1565,plain,
( n7 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1562,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(1566,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n7),succ(n7))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,1565,theory(equality)]) ).
cnf(1567,plain,
( sum(sum(pred(esk15_0),succ(n7)),sum(pred(n7),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,1565,theory(equality)]) ).
cnf(1568,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n3) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1566,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(1569,plain,
( sum(sum(pred(esk15_0),n8),sum(n6,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1567,217,theory(equality)]),206,theory(equality)]) ).
cnf(1572,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1551,1557,theory(equality)]) ).
cnf(1573,plain,
( n7 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1572,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(1576,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1568,1573,theory(equality)]) ).
cnf(1579,plain,
( n6 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1576,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(1582,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n6),succ(n6))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,1579,theory(equality)]) ).
cnf(1583,plain,
( sum(sum(pred(esk17_0),succ(n6)),sum(pred(n6),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,1579,theory(equality)]) ).
cnf(1584,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n1) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1582,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(1585,plain,
( sum(sum(pred(esk17_0),n7),sum(n5,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1583,218,theory(equality)]),207,theory(equality)]) ).
cnf(1588,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1569,1573,theory(equality)]) ).
cnf(1589,plain,
( n6 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1588,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(1592,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1584,1589,theory(equality)]) ).
cnf(1595,plain,
( n2 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1592,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1596,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n2),succ(n2))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,1595,theory(equality)]) ).
cnf(1597,plain,
( sum(sum(pred(esk19_0),succ(n2)),sum(pred(n2),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,1595,theory(equality)]) ).
cnf(1598,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n4) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1596,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(1599,plain,
( sum(sum(pred(esk19_0),n3),sum(n1,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1597,222,theory(equality)]),211,theory(equality)]) ).
cnf(1604,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1585,1589,theory(equality)]) ).
cnf(1605,plain,
( n2 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1604,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1608,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1598,1605,theory(equality)]) ).
cnf(1611,plain,
( n8 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1608,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(1616,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1599,1605,theory(equality)]) ).
cnf(1617,plain,
( n8 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1616,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(1618,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n8 != esk22_0 ),
inference(spm,[status(thm)],[59,1617,theory(equality)]) ).
cnf(1619,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[1618,1611]) ).
cnf(1620,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n2 != esk20_0 ),
inference(spm,[status(thm)],[1619,1605,theory(equality)]) ).
cnf(1621,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[1620,1595]) ).
cnf(1622,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n6 != esk18_0 ),
inference(spm,[status(thm)],[1621,1589,theory(equality)]) ).
cnf(1623,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[1622,1579]) ).
cnf(1624,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n7 != esk16_0 ),
inference(spm,[status(thm)],[1623,1573,theory(equality)]) ).
cnf(1627,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[1624,1565]) ).
cnf(1628,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n10 != esk14_0 ),
inference(spm,[status(thm)],[1627,1557,theory(equality)]) ).
cnf(1629,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[1628,1547]) ).
cnf(1630,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n8 != esk12_0 ),
inference(spm,[status(thm)],[1629,1541,theory(equality)]) ).
cnf(1631,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[1630,1531]) ).
cnf(1632,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n2 != esk10_0 ),
inference(spm,[status(thm)],[1631,1525,theory(equality)]) ).
cnf(1633,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[1632,1515]) ).
cnf(1634,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n6 != esk8_0 ),
inference(spm,[status(thm)],[1633,1509,theory(equality)]) ).
cnf(1635,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[1634,1499]) ).
cnf(1636,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n7 != esk6_0 ),
inference(spm,[status(thm)],[1635,1493,theory(equality)]) ).
cnf(1637,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[1636,1473]) ).
cnf(1638,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != esk4_0 ),
inference(spm,[status(thm)],[1637,1451,theory(equality)]) ).
cnf(1639,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[1638,1450]) ).
cnf(1645,plain,
( sum(n0,sum(pred(n4),succ(n4))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[247,1639,theory(equality)]) ).
cnf(1646,plain,
( sum(sum(n10,succ(n4)),sum(pred(n4),n1)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[251,1639,theory(equality)]) ).
cnf(1649,plain,
( n8 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1645,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),194,theory(equality)]) ).
cnf(1650,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1646,220,theory(equality)]),87,theory(equality)]),209,theory(equality)]),168,theory(equality)]),154,theory(equality)]) ).
cnf(1651,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n8),succ(n8))) = esk6_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,1649,theory(equality)]) ).
cnf(1652,plain,
( sum(sum(pred(esk3_0),succ(n8)),sum(pred(n8),succ(esk3_0))) = esk5_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,1649,theory(equality)]) ).
cnf(1653,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n5) = esk6_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1651,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(1654,plain,
( sum(sum(pred(esk3_0),n9),sum(n7,succ(esk3_0))) = esk5_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1652,216,theory(equality)]),205,theory(equality)]) ).
cnf(1671,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1653,1650,theory(equality)]) ).
cnf(1672,plain,
( n10 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1671,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(1673,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n10),succ(n10))) = esk8_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,1672,theory(equality)]) ).
cnf(1674,plain,
( sum(sum(pred(esk5_0),succ(n10)),sum(pred(n10),succ(esk5_0))) = esk7_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,1672,theory(equality)]) ).
cnf(1675,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n9) = esk8_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1673,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(1676,plain,
( sum(sum(pred(esk5_0),n0),sum(n9,succ(esk5_0))) = esk7_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1674,214,theory(equality)]),203,theory(equality)]) ).
cnf(1691,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1654,1650,theory(equality)]) ).
cnf(1692,plain,
( n10 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1691,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(1695,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1675,1692,theory(equality)]) ).
cnf(1698,plain,
( n7 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1695,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(1699,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n7),succ(n7))) = esk10_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,1698,theory(equality)]) ).
cnf(1700,plain,
( sum(sum(pred(esk7_0),succ(n7)),sum(pred(n7),succ(esk7_0))) = esk9_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,1698,theory(equality)]) ).
cnf(1701,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n3) = esk10_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1699,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(1702,plain,
( sum(sum(pred(esk7_0),n8),sum(n6,succ(esk7_0))) = esk9_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1700,217,theory(equality)]),206,theory(equality)]) ).
cnf(1707,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1676,1692,theory(equality)]) ).
cnf(1708,plain,
( n7 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1707,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(1711,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1701,1708,theory(equality)]) ).
cnf(1714,plain,
( n6 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1711,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(1715,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n6),succ(n6))) = esk12_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,1714,theory(equality)]) ).
cnf(1716,plain,
( sum(sum(pred(esk9_0),succ(n6)),sum(pred(n6),succ(esk9_0))) = esk11_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,1714,theory(equality)]) ).
cnf(1717,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n1) = esk12_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1715,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(1718,plain,
( sum(sum(pred(esk9_0),n7),sum(n5,succ(esk9_0))) = esk11_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1716,218,theory(equality)]),207,theory(equality)]) ).
cnf(1723,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1702,1708,theory(equality)]) ).
cnf(1724,plain,
( n6 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1723,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(1727,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1717,1724,theory(equality)]) ).
cnf(1730,plain,
( n2 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1727,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1731,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n2),succ(n2))) = esk14_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,1730,theory(equality)]) ).
cnf(1732,plain,
( sum(sum(pred(esk11_0),succ(n2)),sum(pred(n2),succ(esk11_0))) = esk13_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,1730,theory(equality)]) ).
cnf(1733,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n4) = esk14_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1731,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(1734,plain,
( sum(sum(pred(esk11_0),n3),sum(n1,succ(esk11_0))) = esk13_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1732,222,theory(equality)]),211,theory(equality)]) ).
cnf(1739,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1718,1724,theory(equality)]) ).
cnf(1740,plain,
( n2 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1739,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1743,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1733,1740,theory(equality)]) ).
cnf(1746,plain,
( n8 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1743,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(1747,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n8),succ(n8))) = esk16_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,1746,theory(equality)]) ).
cnf(1748,plain,
( sum(sum(pred(esk13_0),succ(n8)),sum(pred(n8),succ(esk13_0))) = esk15_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,1746,theory(equality)]) ).
cnf(1749,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n5) = esk16_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1747,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(1750,plain,
( sum(sum(pred(esk13_0),n9),sum(n7,succ(esk13_0))) = esk15_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1748,216,theory(equality)]),205,theory(equality)]) ).
cnf(1755,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1734,1740,theory(equality)]) ).
cnf(1756,plain,
( n8 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1755,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(1759,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1749,1756,theory(equality)]) ).
cnf(1762,plain,
( n10 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1759,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(1763,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n10),succ(n10))) = esk18_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,1762,theory(equality)]) ).
cnf(1764,plain,
( sum(sum(pred(esk15_0),succ(n10)),sum(pred(n10),succ(esk15_0))) = esk17_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,1762,theory(equality)]) ).
cnf(1765,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n9) = esk18_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1763,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(1766,plain,
( sum(sum(pred(esk15_0),n0),sum(n9,succ(esk15_0))) = esk17_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1764,214,theory(equality)]),203,theory(equality)]) ).
cnf(1771,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1750,1756,theory(equality)]) ).
cnf(1772,plain,
( n10 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1771,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(1777,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1765,1772,theory(equality)]) ).
cnf(1780,plain,
( n7 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1777,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(1781,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n7),succ(n7))) = esk20_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,1780,theory(equality)]) ).
cnf(1782,plain,
( sum(sum(pred(esk17_0),succ(n7)),sum(pred(n7),succ(esk17_0))) = esk19_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,1780,theory(equality)]) ).
cnf(1783,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n3) = esk20_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1781,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(1784,plain,
( sum(sum(pred(esk17_0),n8),sum(n6,succ(esk17_0))) = esk19_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1782,217,theory(equality)]),206,theory(equality)]) ).
cnf(1787,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1766,1772,theory(equality)]) ).
cnf(1788,plain,
( n7 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1787,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(1791,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1783,1788,theory(equality)]) ).
cnf(1794,plain,
( n6 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1791,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(1797,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n6),succ(n6))) = esk22_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,1794,theory(equality)]) ).
cnf(1798,plain,
( sum(sum(pred(esk19_0),succ(n6)),sum(pred(n6),succ(esk19_0))) = esk21_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,1794,theory(equality)]) ).
cnf(1799,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n1) = esk22_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1797,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(1800,plain,
( sum(sum(pred(esk19_0),n7),sum(n5,succ(esk19_0))) = esk21_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1798,218,theory(equality)]),207,theory(equality)]) ).
cnf(1803,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1784,1788,theory(equality)]) ).
cnf(1804,plain,
( n6 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1803,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(1807,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1799,1804,theory(equality)]) ).
cnf(1810,plain,
( n2 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1807,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1815,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[1800,1804,theory(equality)]) ).
cnf(1816,plain,
( n2 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1815,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1817,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n2 != esk22_0 ),
inference(spm,[status(thm)],[59,1816,theory(equality)]) ).
cnf(1818,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[1817,1810]) ).
cnf(1819,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n6 != esk20_0 ),
inference(spm,[status(thm)],[1818,1804,theory(equality)]) ).
cnf(1820,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[1819,1794]) ).
cnf(1821,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n7 != esk18_0 ),
inference(spm,[status(thm)],[1820,1788,theory(equality)]) ).
cnf(1824,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[1821,1780]) ).
cnf(1825,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n10 != esk16_0 ),
inference(spm,[status(thm)],[1824,1772,theory(equality)]) ).
cnf(1826,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[1825,1762]) ).
cnf(1827,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n8 != esk14_0 ),
inference(spm,[status(thm)],[1826,1756,theory(equality)]) ).
cnf(1828,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[1827,1746]) ).
cnf(1829,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n2 != esk12_0 ),
inference(spm,[status(thm)],[1828,1740,theory(equality)]) ).
cnf(1830,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[1829,1730]) ).
cnf(1831,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n6 != esk10_0 ),
inference(spm,[status(thm)],[1830,1724,theory(equality)]) ).
cnf(1832,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[1831,1714]) ).
cnf(1833,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n7 != esk8_0 ),
inference(spm,[status(thm)],[1832,1708,theory(equality)]) ).
cnf(1834,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[1833,1698]) ).
cnf(1835,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n10 != esk6_0 ),
inference(spm,[status(thm)],[1834,1692,theory(equality)]) ).
cnf(1836,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[1835,1672]) ).
cnf(1837,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| n8 != esk4_0 ),
inference(spm,[status(thm)],[1836,1650,theory(equality)]) ).
cnf(1838,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(csr,[status(thm)],[1837,1649]) ).
cnf(1843,plain,
( sum(n0,sum(pred(n3),succ(n3))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[247,1838,theory(equality)]) ).
cnf(1844,plain,
( sum(sum(n10,succ(n3)),sum(pred(n3),n1)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[251,1838,theory(equality)]) ).
cnf(1847,plain,
( n6 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1843,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),196,theory(equality)]) ).
cnf(1848,plain,
( n6 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1844,221,theory(equality)]),88,theory(equality)]),210,theory(equality)]),179,theory(equality)]),166,theory(equality)]) ).
cnf(1849,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n6),succ(n6))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,1847,theory(equality)]) ).
cnf(1850,plain,
( sum(sum(pred(esk3_0),succ(n6)),sum(pred(n6),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,1847,theory(equality)]) ).
cnf(1851,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n1) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1849,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(1852,plain,
( sum(sum(pred(esk3_0),n7),sum(n5,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1850,218,theory(equality)]),207,theory(equality)]) ).
cnf(1869,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1851,1848,theory(equality)]) ).
cnf(1870,plain,
( n2 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1869,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1871,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n2),succ(n2))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,1870,theory(equality)]) ).
cnf(1872,plain,
( sum(sum(pred(esk5_0),succ(n2)),sum(pred(n2),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,1870,theory(equality)]) ).
cnf(1873,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n4) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1871,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(1874,plain,
( sum(sum(pred(esk5_0),n3),sum(n1,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1872,222,theory(equality)]),211,theory(equality)]) ).
cnf(1889,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1852,1848,theory(equality)]) ).
cnf(1890,plain,
( n2 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1889,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1893,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1873,1890,theory(equality)]) ).
cnf(1896,plain,
( n8 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1893,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(1897,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n8),succ(n8))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,1896,theory(equality)]) ).
cnf(1898,plain,
( sum(sum(pred(esk7_0),succ(n8)),sum(pred(n8),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,1896,theory(equality)]) ).
cnf(1899,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n5) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1897,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(1900,plain,
( sum(sum(pred(esk7_0),n9),sum(n7,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1898,216,theory(equality)]),205,theory(equality)]) ).
cnf(1905,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1874,1890,theory(equality)]) ).
cnf(1906,plain,
( n8 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1905,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(1909,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1899,1906,theory(equality)]) ).
cnf(1912,plain,
( n10 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1909,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(1913,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n10),succ(n10))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,1912,theory(equality)]) ).
cnf(1914,plain,
( sum(sum(pred(esk9_0),succ(n10)),sum(pred(n10),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,1912,theory(equality)]) ).
cnf(1915,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n9) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1913,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(1916,plain,
( sum(sum(pred(esk9_0),n0),sum(n9,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1914,214,theory(equality)]),203,theory(equality)]) ).
cnf(1921,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1900,1906,theory(equality)]) ).
cnf(1922,plain,
( n10 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1921,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(1925,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1915,1922,theory(equality)]) ).
cnf(1928,plain,
( n7 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1925,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(1929,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n7),succ(n7))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,1928,theory(equality)]) ).
cnf(1930,plain,
( sum(sum(pred(esk11_0),succ(n7)),sum(pred(n7),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,1928,theory(equality)]) ).
cnf(1931,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n3) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1929,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(1932,plain,
( sum(sum(pred(esk11_0),n8),sum(n6,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1930,217,theory(equality)]),206,theory(equality)]) ).
cnf(1937,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1916,1922,theory(equality)]) ).
cnf(1938,plain,
( n7 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1937,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(1941,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1931,1938,theory(equality)]) ).
cnf(1944,plain,
( n6 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1941,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(1945,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n6),succ(n6))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,1944,theory(equality)]) ).
cnf(1946,plain,
( sum(sum(pred(esk13_0),succ(n6)),sum(pred(n6),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,1944,theory(equality)]) ).
cnf(1947,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n1) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1945,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(1948,plain,
( sum(sum(pred(esk13_0),n7),sum(n5,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1946,218,theory(equality)]),207,theory(equality)]) ).
cnf(1953,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1932,1938,theory(equality)]) ).
cnf(1954,plain,
( n6 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1953,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(1957,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1947,1954,theory(equality)]) ).
cnf(1960,plain,
( n2 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1957,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1961,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n2),succ(n2))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,1960,theory(equality)]) ).
cnf(1962,plain,
( sum(sum(pred(esk15_0),succ(n2)),sum(pred(n2),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,1960,theory(equality)]) ).
cnf(1963,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n4) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1961,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(1964,plain,
( sum(sum(pred(esk15_0),n3),sum(n1,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1962,222,theory(equality)]),211,theory(equality)]) ).
cnf(1969,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1948,1954,theory(equality)]) ).
cnf(1970,plain,
( n2 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1969,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(1975,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1963,1970,theory(equality)]) ).
cnf(1978,plain,
( n8 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1975,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(1979,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n8),succ(n8))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,1978,theory(equality)]) ).
cnf(1980,plain,
( sum(sum(pred(esk17_0),succ(n8)),sum(pred(n8),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,1978,theory(equality)]) ).
cnf(1981,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n5) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1979,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(1982,plain,
( sum(sum(pred(esk17_0),n9),sum(n7,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1980,216,theory(equality)]),205,theory(equality)]) ).
cnf(1985,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1964,1970,theory(equality)]) ).
cnf(1986,plain,
( n8 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1985,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(1989,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1981,1986,theory(equality)]) ).
cnf(1992,plain,
( n10 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1989,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(1995,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n10),succ(n10))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,1992,theory(equality)]) ).
cnf(1996,plain,
( sum(sum(pred(esk19_0),succ(n10)),sum(pred(n10),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,1992,theory(equality)]) ).
cnf(1997,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n9) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1995,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(1998,plain,
( sum(sum(pred(esk19_0),n0),sum(n9,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1996,214,theory(equality)]),203,theory(equality)]) ).
cnf(2001,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1982,1986,theory(equality)]) ).
cnf(2002,plain,
( n10 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2001,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(2005,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1997,2002,theory(equality)]) ).
cnf(2008,plain,
( n7 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2005,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(2013,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1998,2002,theory(equality)]) ).
cnf(2014,plain,
( n7 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2013,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(2015,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n7 != esk22_0 ),
inference(spm,[status(thm)],[59,2014,theory(equality)]) ).
cnf(2016,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[2015,2008]) ).
cnf(2017,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n10 != esk20_0 ),
inference(spm,[status(thm)],[2016,2002,theory(equality)]) ).
cnf(2018,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[2017,1992]) ).
cnf(2019,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n8 != esk18_0 ),
inference(spm,[status(thm)],[2018,1986,theory(equality)]) ).
cnf(2022,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[2019,1978]) ).
cnf(2023,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n2 != esk16_0 ),
inference(spm,[status(thm)],[2022,1970,theory(equality)]) ).
cnf(2024,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[2023,1960]) ).
cnf(2025,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n6 != esk14_0 ),
inference(spm,[status(thm)],[2024,1954,theory(equality)]) ).
cnf(2026,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[2025,1944]) ).
cnf(2027,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n7 != esk12_0 ),
inference(spm,[status(thm)],[2026,1938,theory(equality)]) ).
cnf(2028,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[2027,1928]) ).
cnf(2029,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n10 != esk10_0 ),
inference(spm,[status(thm)],[2028,1922,theory(equality)]) ).
cnf(2030,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[2029,1912]) ).
cnf(2031,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n8 != esk8_0 ),
inference(spm,[status(thm)],[2030,1906,theory(equality)]) ).
cnf(2032,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[2031,1896]) ).
cnf(2033,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n2 != esk6_0 ),
inference(spm,[status(thm)],[2032,1890,theory(equality)]) ).
cnf(2034,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[2033,1870]) ).
cnf(2035,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| n6 != esk4_0 ),
inference(spm,[status(thm)],[2034,1848,theory(equality)]) ).
cnf(2036,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[2035,1847]) ).
cnf(2040,plain,
( sum(n0,sum(pred(n2),succ(n2))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[247,2036,theory(equality)]) ).
cnf(2041,plain,
( sum(sum(n10,succ(n2)),sum(pred(n2),n1)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[251,2036,theory(equality)]) ).
cnf(2044,plain,
( n4 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2040,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),198,theory(equality)]) ).
cnf(2045,plain,
( n4 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2041,222,theory(equality)]),89,theory(equality)]),211,theory(equality)]),190,theory(equality)]),178,theory(equality)]) ).
cnf(2046,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n4),succ(n4))) = esk6_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,2044,theory(equality)]) ).
cnf(2047,plain,
( sum(sum(pred(esk3_0),succ(n4)),sum(pred(n4),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,2044,theory(equality)]) ).
cnf(2048,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n8) = esk6_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2046,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(2049,plain,
( sum(sum(pred(esk3_0),n5),sum(n3,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2047,220,theory(equality)]),209,theory(equality)]) ).
cnf(2066,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2048,2045,theory(equality)]) ).
cnf(2067,plain,
( n5 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2066,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(2068,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n5),succ(n5))) = esk8_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,2067,theory(equality)]) ).
cnf(2069,plain,
( sum(sum(pred(esk5_0),succ(n5)),sum(pred(n5),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,2067,theory(equality)]) ).
cnf(2070,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n10) = esk8_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2068,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(2071,plain,
( sum(sum(pred(esk5_0),n6),sum(n4,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2069,219,theory(equality)]),208,theory(equality)]) ).
cnf(2086,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2049,2045,theory(equality)]) ).
cnf(2087,plain,
( n5 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2086,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(2090,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2070,2087,theory(equality)]) ).
cnf(2093,plain,
( n9 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2090,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(2094,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n9),succ(n9))) = esk10_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,2093,theory(equality)]) ).
cnf(2095,plain,
( sum(sum(pred(esk7_0),succ(n9)),sum(pred(n9),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,2093,theory(equality)]) ).
cnf(2096,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n7) = esk10_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2094,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(2097,plain,
( sum(sum(pred(esk7_0),n10),sum(n8,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2095,215,theory(equality)]),204,theory(equality)]) ).
cnf(2102,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2071,2087,theory(equality)]) ).
cnf(2103,plain,
( n9 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2102,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(2106,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2096,2103,theory(equality)]) ).
cnf(2109,plain,
( n3 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2106,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2110,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n3),succ(n3))) = esk12_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,2109,theory(equality)]) ).
cnf(2111,plain,
( sum(sum(pred(esk9_0),succ(n3)),sum(pred(n3),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,2109,theory(equality)]) ).
cnf(2112,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n6) = esk12_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2110,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(2113,plain,
( sum(sum(pred(esk9_0),n4),sum(n2,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2111,221,theory(equality)]),210,theory(equality)]) ).
cnf(2118,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2097,2103,theory(equality)]) ).
cnf(2119,plain,
( n3 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2118,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2122,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2112,2119,theory(equality)]) ).
cnf(2125,plain,
( n1 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2122,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2126,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n1),succ(n1))) = esk14_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,2125,theory(equality)]) ).
cnf(2127,plain,
( sum(sum(pred(esk11_0),succ(n1)),sum(pred(n1),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,2125,theory(equality)]) ).
cnf(2128,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n2) = esk14_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2126,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(2129,plain,
( sum(sum(pred(esk11_0),n2),sum(n0,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2127,223,theory(equality)]),212,theory(equality)]) ).
cnf(2134,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2113,2119,theory(equality)]) ).
cnf(2135,plain,
( n1 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2134,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2138,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2128,2135,theory(equality)]) ).
cnf(2141,plain,
( n4 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2138,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(2142,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n4),succ(n4))) = esk16_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,2141,theory(equality)]) ).
cnf(2143,plain,
( sum(sum(pred(esk13_0),succ(n4)),sum(pred(n4),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,2141,theory(equality)]) ).
cnf(2144,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n8) = esk16_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2142,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(2145,plain,
( sum(sum(pred(esk13_0),n5),sum(n3,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2143,220,theory(equality)]),209,theory(equality)]) ).
cnf(2150,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2129,2135,theory(equality)]) ).
cnf(2151,plain,
( n4 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2150,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(2156,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2144,2151,theory(equality)]) ).
cnf(2159,plain,
( n5 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2156,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(2160,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n5),succ(n5))) = esk18_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,2159,theory(equality)]) ).
cnf(2161,plain,
( sum(sum(pred(esk15_0),succ(n5)),sum(pred(n5),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,2159,theory(equality)]) ).
cnf(2162,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n10) = esk18_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2160,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(2163,plain,
( sum(sum(pred(esk15_0),n6),sum(n4,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2161,219,theory(equality)]),208,theory(equality)]) ).
cnf(2166,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2145,2151,theory(equality)]) ).
cnf(2167,plain,
( n5 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2166,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(2170,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2162,2167,theory(equality)]) ).
cnf(2173,plain,
( n9 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2170,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(2176,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n9),succ(n9))) = esk20_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,2173,theory(equality)]) ).
cnf(2177,plain,
( sum(sum(pred(esk17_0),succ(n9)),sum(pred(n9),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,2173,theory(equality)]) ).
cnf(2178,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n7) = esk20_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2176,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(2179,plain,
( sum(sum(pred(esk17_0),n10),sum(n8,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2177,215,theory(equality)]),204,theory(equality)]) ).
cnf(2182,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2163,2167,theory(equality)]) ).
cnf(2183,plain,
( n9 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2182,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(2186,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2178,2183,theory(equality)]) ).
cnf(2189,plain,
( n3 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2186,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2190,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n3),succ(n3))) = esk22_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,2189,theory(equality)]) ).
cnf(2191,plain,
( sum(sum(pred(esk19_0),succ(n3)),sum(pred(n3),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,2189,theory(equality)]) ).
cnf(2192,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n6) = esk22_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2190,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(2193,plain,
( sum(sum(pred(esk19_0),n4),sum(n2,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2191,221,theory(equality)]),210,theory(equality)]) ).
cnf(2198,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2179,2183,theory(equality)]) ).
cnf(2199,plain,
( n3 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2198,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2202,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2192,2199,theory(equality)]) ).
cnf(2205,plain,
( n1 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2202,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2210,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2193,2199,theory(equality)]) ).
cnf(2211,plain,
( n1 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2210,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2212,plain,
( esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n1 != esk22_0 ),
inference(spm,[status(thm)],[59,2211,theory(equality)]) ).
cnf(2213,plain,
( esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[2212,2205]) ).
cnf(2214,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n3 != esk20_0 ),
inference(spm,[status(thm)],[2213,2199,theory(equality)]) ).
cnf(2215,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[2214,2189]) ).
cnf(2216,plain,
( esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n9 != esk18_0 ),
inference(spm,[status(thm)],[2215,2183,theory(equality)]) ).
cnf(2217,plain,
( esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[2216,2173]) ).
cnf(2218,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n5 != esk16_0 ),
inference(spm,[status(thm)],[2217,2167,theory(equality)]) ).
cnf(2221,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[2218,2159]) ).
cnf(2222,plain,
( esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n4 != esk14_0 ),
inference(spm,[status(thm)],[2221,2151,theory(equality)]) ).
cnf(2223,plain,
( esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[2222,2141]) ).
cnf(2224,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n1 != esk12_0 ),
inference(spm,[status(thm)],[2223,2135,theory(equality)]) ).
cnf(2225,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[2224,2125]) ).
cnf(2226,plain,
( esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n3 != esk10_0 ),
inference(spm,[status(thm)],[2225,2119,theory(equality)]) ).
cnf(2227,plain,
( esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[2226,2109]) ).
cnf(2228,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n9 != esk8_0 ),
inference(spm,[status(thm)],[2227,2103,theory(equality)]) ).
cnf(2229,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[2228,2093]) ).
cnf(2230,plain,
( esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n5 != esk6_0 ),
inference(spm,[status(thm)],[2229,2087,theory(equality)]) ).
cnf(2231,plain,
( esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[2230,2067]) ).
cnf(2232,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| n4 != esk4_0 ),
inference(spm,[status(thm)],[2231,2045,theory(equality)]) ).
cnf(2233,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(csr,[status(thm)],[2232,2044]) ).
cnf(2236,plain,
( sum(n0,sum(pred(n1),succ(n1))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[247,2233,theory(equality)]) ).
cnf(2237,plain,
( sum(sum(n10,succ(n1)),sum(pred(n1),n1)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[251,2233,theory(equality)]) ).
cnf(2240,plain,
( n2 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2236,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),200,theory(equality)]) ).
cnf(2241,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2237,223,theory(equality)]),90,theory(equality)]),212,theory(equality)]),201,theory(equality)]),190,theory(equality)]) ).
cnf(2242,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n2),succ(n2))) = esk6_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,2240,theory(equality)]) ).
cnf(2243,plain,
( sum(sum(pred(esk3_0),succ(n2)),sum(pred(n2),succ(esk3_0))) = esk5_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,2240,theory(equality)]) ).
cnf(2244,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n4) = esk6_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2242,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(2245,plain,
( sum(sum(pred(esk3_0),n3),sum(n1,succ(esk3_0))) = esk5_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2243,222,theory(equality)]),211,theory(equality)]) ).
cnf(2262,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2244,2241,theory(equality)]) ).
cnf(2263,plain,
( n8 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2262,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(2264,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n8),succ(n8))) = esk8_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,2263,theory(equality)]) ).
cnf(2265,plain,
( sum(sum(pred(esk5_0),succ(n8)),sum(pred(n8),succ(esk5_0))) = esk7_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,2263,theory(equality)]) ).
cnf(2266,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n5) = esk8_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2264,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(2267,plain,
( sum(sum(pred(esk5_0),n9),sum(n7,succ(esk5_0))) = esk7_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2265,216,theory(equality)]),205,theory(equality)]) ).
cnf(2282,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2245,2241,theory(equality)]) ).
cnf(2283,plain,
( n8 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2282,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(2286,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2266,2283,theory(equality)]) ).
cnf(2289,plain,
( n10 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2286,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(2290,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n10),succ(n10))) = esk10_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,2289,theory(equality)]) ).
cnf(2291,plain,
( sum(sum(pred(esk7_0),succ(n10)),sum(pred(n10),succ(esk7_0))) = esk9_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,2289,theory(equality)]) ).
cnf(2292,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n9) = esk10_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2290,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(2293,plain,
( sum(sum(pred(esk7_0),n0),sum(n9,succ(esk7_0))) = esk9_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2291,214,theory(equality)]),203,theory(equality)]) ).
cnf(2298,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2267,2283,theory(equality)]) ).
cnf(2299,plain,
( n10 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2298,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(2302,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2292,2299,theory(equality)]) ).
cnf(2305,plain,
( n7 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2302,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(2306,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n7),succ(n7))) = esk12_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,2305,theory(equality)]) ).
cnf(2307,plain,
( sum(sum(pred(esk9_0),succ(n7)),sum(pred(n7),succ(esk9_0))) = esk11_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,2305,theory(equality)]) ).
cnf(2308,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n3) = esk12_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2306,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(2309,plain,
( sum(sum(pred(esk9_0),n8),sum(n6,succ(esk9_0))) = esk11_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2307,217,theory(equality)]),206,theory(equality)]) ).
cnf(2314,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2293,2299,theory(equality)]) ).
cnf(2315,plain,
( n7 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2314,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(2320,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2308,2315,theory(equality)]) ).
cnf(2323,plain,
( n6 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2320,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(2324,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n6),succ(n6))) = esk14_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,2323,theory(equality)]) ).
cnf(2325,plain,
( sum(sum(pred(esk11_0),succ(n6)),sum(pred(n6),succ(esk11_0))) = esk13_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,2323,theory(equality)]) ).
cnf(2326,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n1) = esk14_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2324,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(2327,plain,
( sum(sum(pred(esk11_0),n7),sum(n5,succ(esk11_0))) = esk13_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2325,218,theory(equality)]),207,theory(equality)]) ).
cnf(2330,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2309,2315,theory(equality)]) ).
cnf(2331,plain,
( n6 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2330,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(2334,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2326,2331,theory(equality)]) ).
cnf(2337,plain,
( n2 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2334,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(2340,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n2),succ(n2))) = esk16_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,2337,theory(equality)]) ).
cnf(2341,plain,
( sum(sum(pred(esk13_0),succ(n2)),sum(pred(n2),succ(esk13_0))) = esk15_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,2337,theory(equality)]) ).
cnf(2342,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n4) = esk16_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2340,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(2343,plain,
( sum(sum(pred(esk13_0),n3),sum(n1,succ(esk13_0))) = esk15_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2341,222,theory(equality)]),211,theory(equality)]) ).
cnf(2346,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2327,2331,theory(equality)]) ).
cnf(2347,plain,
( n2 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2346,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(2350,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2342,2347,theory(equality)]) ).
cnf(2353,plain,
( n8 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2350,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(2354,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n8),succ(n8))) = esk18_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,2353,theory(equality)]) ).
cnf(2355,plain,
( sum(sum(pred(esk15_0),succ(n8)),sum(pred(n8),succ(esk15_0))) = esk17_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,2353,theory(equality)]) ).
cnf(2356,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n5) = esk18_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2354,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(2357,plain,
( sum(sum(pred(esk15_0),n9),sum(n7,succ(esk15_0))) = esk17_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2355,216,theory(equality)]),205,theory(equality)]) ).
cnf(2362,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2343,2347,theory(equality)]) ).
cnf(2363,plain,
( n8 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2362,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(2366,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2356,2363,theory(equality)]) ).
cnf(2369,plain,
( n10 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2366,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(2370,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n10),succ(n10))) = esk20_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,2369,theory(equality)]) ).
cnf(2371,plain,
( sum(sum(pred(esk17_0),succ(n10)),sum(pred(n10),succ(esk17_0))) = esk19_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,2369,theory(equality)]) ).
cnf(2372,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n9) = esk20_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2370,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(2373,plain,
( sum(sum(pred(esk17_0),n0),sum(n9,succ(esk17_0))) = esk19_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2371,214,theory(equality)]),203,theory(equality)]) ).
cnf(2378,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2357,2363,theory(equality)]) ).
cnf(2379,plain,
( n10 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2378,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(2382,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2372,2379,theory(equality)]) ).
cnf(2385,plain,
( n7 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2382,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(2386,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n7),succ(n7))) = esk22_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,2385,theory(equality)]) ).
cnf(2387,plain,
( sum(sum(pred(esk19_0),succ(n7)),sum(pred(n7),succ(esk19_0))) = esk21_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,2385,theory(equality)]) ).
cnf(2388,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n3) = esk22_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2386,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(2389,plain,
( sum(sum(pred(esk19_0),n8),sum(n6,succ(esk19_0))) = esk21_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2387,217,theory(equality)]),206,theory(equality)]) ).
cnf(2394,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2373,2379,theory(equality)]) ).
cnf(2395,plain,
( n7 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2394,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(2398,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2388,2395,theory(equality)]) ).
cnf(2401,plain,
( n6 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2398,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(2406,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(spm,[status(thm)],[2389,2395,theory(equality)]) ).
cnf(2407,plain,
( n6 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2406,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(2408,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n6 != esk22_0 ),
inference(spm,[status(thm)],[59,2407,theory(equality)]) ).
cnf(2411,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[2408,2401]) ).
cnf(2412,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n7 != esk20_0 ),
inference(spm,[status(thm)],[2411,2395,theory(equality)]) ).
cnf(2413,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[2412,2385]) ).
cnf(2414,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n10 != esk18_0 ),
inference(spm,[status(thm)],[2413,2379,theory(equality)]) ).
cnf(2415,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[2414,2369]) ).
cnf(2416,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n8 != esk16_0 ),
inference(spm,[status(thm)],[2415,2363,theory(equality)]) ).
cnf(2417,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[2416,2353]) ).
cnf(2418,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n2 != esk14_0 ),
inference(spm,[status(thm)],[2417,2347,theory(equality)]) ).
cnf(2419,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[2418,2337]) ).
cnf(2420,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n6 != esk12_0 ),
inference(spm,[status(thm)],[2419,2331,theory(equality)]) ).
cnf(2421,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[2420,2323]) ).
cnf(2422,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n7 != esk10_0 ),
inference(spm,[status(thm)],[2421,2315,theory(equality)]) ).
cnf(2423,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[2422,2305]) ).
cnf(2424,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n10 != esk8_0 ),
inference(spm,[status(thm)],[2423,2299,theory(equality)]) ).
cnf(2425,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[2424,2289]) ).
cnf(2426,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n8 != esk6_0 ),
inference(spm,[status(thm)],[2425,2283,theory(equality)]) ).
cnf(2427,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[2426,2263]) ).
cnf(2428,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| n2 != esk4_0 ),
inference(spm,[status(thm)],[2427,2241,theory(equality)]) ).
cnf(2429,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(csr,[status(thm)],[2428,2240]) ).
cnf(2439,plain,
( sum(sum(pred(n10),succ(n10)),sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[78,2429,theory(equality)]) ).
cnf(2440,plain,
( sum(sum(pred(n10),succ(esk2_0)),sum(pred(esk2_0),succ(n10))) = esk3_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[79,2429,theory(equality)]) ).
cnf(2441,plain,
( sum(sum(pred(n10),succ(n10)),n0) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[248,2429,theory(equality)]) ).
cnf(2442,plain,
( sum(sum(pred(n10),n1),sum(n10,succ(n10))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[252,2429,theory(equality)]) ).
cnf(2443,plain,
( sum(n9,sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2439,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(2444,plain,
( sum(sum(n9,succ(esk2_0)),sum(pred(esk2_0),n0)) = esk3_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2440,203,theory(equality)]),214,theory(equality)]) ).
cnf(2445,plain,
( n9 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2441,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),103,theory(equality)]) ).
cnf(2446,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2442,203,theory(equality)]),102,theory(equality)]),214,theory(equality)]),92,theory(equality)]),82,theory(equality)]) ).
cnf(2449,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n9),succ(n9))) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,2445,theory(equality)]) ).
cnf(2450,plain,
( sum(sum(pred(esk3_0),succ(n9)),sum(pred(n9),succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,2445,theory(equality)]) ).
cnf(2451,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n7) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2449,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(2452,plain,
( sum(sum(pred(esk3_0),n10),sum(n8,succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2450,215,theory(equality)]),204,theory(equality)]) ).
cnf(2459,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2451,2446,theory(equality)]) ).
cnf(2460,plain,
( n3 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2459,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2461,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n3),succ(n3))) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,2460,theory(equality)]) ).
cnf(2462,plain,
( sum(sum(pred(esk5_0),succ(n3)),sum(pred(n3),succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,2460,theory(equality)]) ).
cnf(2463,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n6) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2461,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(2464,plain,
( sum(sum(pred(esk5_0),n4),sum(n2,succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2462,221,theory(equality)]),210,theory(equality)]) ).
cnf(2467,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2452,2446,theory(equality)]) ).
cnf(2468,plain,
( n3 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2467,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2473,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2463,2468,theory(equality)]) ).
cnf(2476,plain,
( n1 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2473,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2477,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n1),succ(n1))) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,2476,theory(equality)]) ).
cnf(2478,plain,
( sum(sum(pred(esk7_0),succ(n1)),sum(pred(n1),succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,2476,theory(equality)]) ).
cnf(2479,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n2) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2477,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(2480,plain,
( sum(sum(pred(esk7_0),n2),sum(n0,succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2478,223,theory(equality)]),212,theory(equality)]) ).
cnf(2483,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2464,2468,theory(equality)]) ).
cnf(2484,plain,
( n1 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2483,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2487,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2479,2484,theory(equality)]) ).
cnf(2490,plain,
( n4 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2487,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(2493,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n4),succ(n4))) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,2490,theory(equality)]) ).
cnf(2494,plain,
( sum(sum(pred(esk9_0),succ(n4)),sum(pred(n4),succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,2490,theory(equality)]) ).
cnf(2495,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n8) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2493,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(2496,plain,
( sum(sum(pred(esk9_0),n5),sum(n3,succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2494,220,theory(equality)]),209,theory(equality)]) ).
cnf(2499,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2480,2484,theory(equality)]) ).
cnf(2500,plain,
( n4 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2499,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(2503,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2495,2500,theory(equality)]) ).
cnf(2506,plain,
( n5 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2503,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(2507,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n5),succ(n5))) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,2506,theory(equality)]) ).
cnf(2508,plain,
( sum(sum(pred(esk11_0),succ(n5)),sum(pred(n5),succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,2506,theory(equality)]) ).
cnf(2509,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n10) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2507,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(2510,plain,
( sum(sum(pred(esk11_0),n6),sum(n4,succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2508,219,theory(equality)]),208,theory(equality)]) ).
cnf(2515,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2496,2500,theory(equality)]) ).
cnf(2516,plain,
( n5 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2515,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(2519,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2509,2516,theory(equality)]) ).
cnf(2522,plain,
( n9 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2519,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(2523,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n9),succ(n9))) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,2522,theory(equality)]) ).
cnf(2524,plain,
( sum(sum(pred(esk13_0),succ(n9)),sum(pred(n9),succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,2522,theory(equality)]) ).
cnf(2525,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n7) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2523,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(2526,plain,
( sum(sum(pred(esk13_0),n10),sum(n8,succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2524,215,theory(equality)]),204,theory(equality)]) ).
cnf(2531,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2510,2516,theory(equality)]) ).
cnf(2532,plain,
( n9 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2531,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(2535,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2525,2532,theory(equality)]) ).
cnf(2538,plain,
( n3 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2535,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2539,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n3),succ(n3))) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,2538,theory(equality)]) ).
cnf(2540,plain,
( sum(sum(pred(esk15_0),succ(n3)),sum(pred(n3),succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,2538,theory(equality)]) ).
cnf(2541,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n6) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2539,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(2542,plain,
( sum(sum(pred(esk15_0),n4),sum(n2,succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2540,221,theory(equality)]),210,theory(equality)]) ).
cnf(2547,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2526,2532,theory(equality)]) ).
cnf(2548,plain,
( n3 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2547,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2551,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2541,2548,theory(equality)]) ).
cnf(2554,plain,
( n1 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2551,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2555,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n1),succ(n1))) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,2554,theory(equality)]) ).
cnf(2556,plain,
( sum(sum(pred(esk17_0),succ(n1)),sum(pred(n1),succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,2554,theory(equality)]) ).
cnf(2557,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n2) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2555,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(2558,plain,
( sum(sum(pred(esk17_0),n2),sum(n0,succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2556,223,theory(equality)]),212,theory(equality)]) ).
cnf(2563,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2542,2548,theory(equality)]) ).
cnf(2564,plain,
( n1 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2563,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2567,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2557,2564,theory(equality)]) ).
cnf(2570,plain,
( n4 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2567,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(2571,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n4),succ(n4))) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,2570,theory(equality)]) ).
cnf(2572,plain,
( sum(sum(pred(esk19_0),succ(n4)),sum(pred(n4),succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,2570,theory(equality)]) ).
cnf(2573,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n8) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2571,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(2574,plain,
( sum(sum(pred(esk19_0),n5),sum(n3,succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2572,220,theory(equality)]),209,theory(equality)]) ).
cnf(2579,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2558,2564,theory(equality)]) ).
cnf(2580,plain,
( n4 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2579,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(2583,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2573,2580,theory(equality)]) ).
cnf(2586,plain,
( n5 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2583,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(2591,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2574,2580,theory(equality)]) ).
cnf(2592,plain,
( n5 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2591,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(2595,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n5 != esk22_0 ),
inference(spm,[status(thm)],[59,2592,theory(equality)]) ).
cnf(2596,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[2595,2586]) ).
cnf(2597,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n4 != esk20_0 ),
inference(spm,[status(thm)],[2596,2580,theory(equality)]) ).
cnf(2598,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[2597,2570]) ).
cnf(2599,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n1 != esk18_0 ),
inference(spm,[status(thm)],[2598,2564,theory(equality)]) ).
cnf(2600,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[2599,2554]) ).
cnf(2601,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n3 != esk16_0 ),
inference(spm,[status(thm)],[2600,2548,theory(equality)]) ).
cnf(2602,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[2601,2538]) ).
cnf(2603,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n9 != esk14_0 ),
inference(spm,[status(thm)],[2602,2532,theory(equality)]) ).
cnf(2604,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[2603,2522]) ).
cnf(2605,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n5 != esk12_0 ),
inference(spm,[status(thm)],[2604,2516,theory(equality)]) ).
cnf(2606,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[2605,2506]) ).
cnf(2607,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n4 != esk10_0 ),
inference(spm,[status(thm)],[2606,2500,theory(equality)]) ).
cnf(2608,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[2607,2490]) ).
cnf(2609,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n1 != esk8_0 ),
inference(spm,[status(thm)],[2608,2484,theory(equality)]) ).
cnf(2610,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[2609,2476]) ).
cnf(2611,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n3 != esk6_0 ),
inference(spm,[status(thm)],[2610,2468,theory(equality)]) ).
cnf(2612,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[2611,2460]) ).
cnf(2613,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n9 != esk4_0 ),
inference(spm,[status(thm)],[2612,2446,theory(equality)]) ).
cnf(2614,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(csr,[status(thm)],[2613,2445]) ).
cnf(2626,plain,
( sum(n9,sum(pred(n10),succ(n10))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2443,2614,theory(equality)]) ).
cnf(2627,plain,
( sum(sum(n9,succ(n10)),sum(pred(n10),n0)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2444,2614,theory(equality)]) ).
cnf(2630,plain,
( n7 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2626,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(2631,plain,
( n7 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2627,214,theory(equality)]),103,theory(equality)]),203,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(2632,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n7),succ(n7))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,2630,theory(equality)]) ).
cnf(2633,plain,
( sum(sum(pred(esk3_0),succ(n7)),sum(pred(n7),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,2630,theory(equality)]) ).
cnf(2634,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n3) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2632,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(2635,plain,
( sum(sum(pred(esk3_0),n8),sum(n6,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2633,217,theory(equality)]),206,theory(equality)]) ).
cnf(2651,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2634,2631,theory(equality)]) ).
cnf(2652,plain,
( n6 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2651,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(2664,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n6),succ(n6))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,2652,theory(equality)]) ).
cnf(2665,plain,
( sum(sum(pred(esk5_0),succ(n6)),sum(pred(n6),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,2652,theory(equality)]) ).
cnf(2666,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n1) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2664,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(2667,plain,
( sum(sum(pred(esk5_0),n7),sum(n5,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2665,218,theory(equality)]),207,theory(equality)]) ).
cnf(2670,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2635,2631,theory(equality)]) ).
cnf(2671,plain,
( n6 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2670,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(2674,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2666,2671,theory(equality)]) ).
cnf(2677,plain,
( n2 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2674,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(2678,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n2),succ(n2))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,2677,theory(equality)]) ).
cnf(2679,plain,
( sum(sum(pred(esk7_0),succ(n2)),sum(pred(n2),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,2677,theory(equality)]) ).
cnf(2680,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n4) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2678,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(2681,plain,
( sum(sum(pred(esk7_0),n3),sum(n1,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2679,222,theory(equality)]),211,theory(equality)]) ).
cnf(2686,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2667,2671,theory(equality)]) ).
cnf(2687,plain,
( n2 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2686,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(2690,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2680,2687,theory(equality)]) ).
cnf(2693,plain,
( n8 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2690,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(2694,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n8),succ(n8))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,2693,theory(equality)]) ).
cnf(2695,plain,
( sum(sum(pred(esk9_0),succ(n8)),sum(pred(n8),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,2693,theory(equality)]) ).
cnf(2696,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n5) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2694,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(2697,plain,
( sum(sum(pred(esk9_0),n9),sum(n7,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2695,216,theory(equality)]),205,theory(equality)]) ).
cnf(2702,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2681,2687,theory(equality)]) ).
cnf(2703,plain,
( n8 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2702,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(2706,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2696,2703,theory(equality)]) ).
cnf(2709,plain,
( n10 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2706,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(2710,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n10),succ(n10))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,2709,theory(equality)]) ).
cnf(2711,plain,
( sum(sum(pred(esk11_0),succ(n10)),sum(pred(n10),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,2709,theory(equality)]) ).
cnf(2712,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n9) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2710,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(2713,plain,
( sum(sum(pred(esk11_0),n0),sum(n9,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2711,214,theory(equality)]),203,theory(equality)]) ).
cnf(2718,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2697,2703,theory(equality)]) ).
cnf(2719,plain,
( n10 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2718,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(2722,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2712,2719,theory(equality)]) ).
cnf(2725,plain,
( n7 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2722,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(2726,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n7),succ(n7))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,2725,theory(equality)]) ).
cnf(2727,plain,
( sum(sum(pred(esk13_0),succ(n7)),sum(pred(n7),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,2725,theory(equality)]) ).
cnf(2728,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n3) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2726,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(2729,plain,
( sum(sum(pred(esk13_0),n8),sum(n6,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2727,217,theory(equality)]),206,theory(equality)]) ).
cnf(2734,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2713,2719,theory(equality)]) ).
cnf(2735,plain,
( n7 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2734,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(2738,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2728,2735,theory(equality)]) ).
cnf(2741,plain,
( n6 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2738,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(2742,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n6),succ(n6))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,2741,theory(equality)]) ).
cnf(2743,plain,
( sum(sum(pred(esk15_0),succ(n6)),sum(pred(n6),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,2741,theory(equality)]) ).
cnf(2744,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n1) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2742,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(2745,plain,
( sum(sum(pred(esk15_0),n7),sum(n5,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2743,218,theory(equality)]),207,theory(equality)]) ).
cnf(2750,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2729,2735,theory(equality)]) ).
cnf(2751,plain,
( n6 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2750,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(2754,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2744,2751,theory(equality)]) ).
cnf(2757,plain,
( n2 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2754,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(2758,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n2),succ(n2))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,2757,theory(equality)]) ).
cnf(2759,plain,
( sum(sum(pred(esk17_0),succ(n2)),sum(pred(n2),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,2757,theory(equality)]) ).
cnf(2760,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n4) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2758,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(2761,plain,
( sum(sum(pred(esk17_0),n3),sum(n1,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2759,222,theory(equality)]),211,theory(equality)]) ).
cnf(2766,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2745,2751,theory(equality)]) ).
cnf(2767,plain,
( n2 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2766,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(2770,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2760,2767,theory(equality)]) ).
cnf(2773,plain,
( n8 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2770,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(2774,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n8),succ(n8))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,2773,theory(equality)]) ).
cnf(2775,plain,
( sum(sum(pred(esk19_0),succ(n8)),sum(pred(n8),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,2773,theory(equality)]) ).
cnf(2776,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n5) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2774,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(2777,plain,
( sum(sum(pred(esk19_0),n9),sum(n7,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2775,216,theory(equality)]),205,theory(equality)]) ).
cnf(2782,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2761,2767,theory(equality)]) ).
cnf(2783,plain,
( n8 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2782,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(2788,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2776,2783,theory(equality)]) ).
cnf(2791,plain,
( n10 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2788,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(2794,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2777,2783,theory(equality)]) ).
cnf(2795,plain,
( n10 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2794,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(2796,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n10 != esk22_0 ),
inference(spm,[status(thm)],[59,2795,theory(equality)]) ).
cnf(2799,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[2796,2791]) ).
cnf(2800,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n8 != esk20_0 ),
inference(spm,[status(thm)],[2799,2783,theory(equality)]) ).
cnf(2801,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[2800,2773]) ).
cnf(2802,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n2 != esk18_0 ),
inference(spm,[status(thm)],[2801,2767,theory(equality)]) ).
cnf(2803,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[2802,2757]) ).
cnf(2804,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n6 != esk16_0 ),
inference(spm,[status(thm)],[2803,2751,theory(equality)]) ).
cnf(2805,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[2804,2741]) ).
cnf(2806,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n7 != esk14_0 ),
inference(spm,[status(thm)],[2805,2735,theory(equality)]) ).
cnf(2807,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[2806,2725]) ).
cnf(2808,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n10 != esk12_0 ),
inference(spm,[status(thm)],[2807,2719,theory(equality)]) ).
cnf(2809,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[2808,2709]) ).
cnf(2810,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n8 != esk10_0 ),
inference(spm,[status(thm)],[2809,2703,theory(equality)]) ).
cnf(2811,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[2810,2693]) ).
cnf(2812,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n2 != esk8_0 ),
inference(spm,[status(thm)],[2811,2687,theory(equality)]) ).
cnf(2813,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[2812,2677]) ).
cnf(2814,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n6 != esk6_0 ),
inference(spm,[status(thm)],[2813,2671,theory(equality)]) ).
cnf(2815,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[2814,2652]) ).
cnf(2816,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n7 != esk4_0 ),
inference(spm,[status(thm)],[2815,2631,theory(equality)]) ).
cnf(2817,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[2816,2630]) ).
cnf(2828,plain,
( sum(n9,sum(pred(n9),succ(n9))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2443,2817,theory(equality)]) ).
cnf(2829,plain,
( sum(sum(n9,succ(n9)),sum(pred(n9),n0)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2444,2817,theory(equality)]) ).
cnf(2832,plain,
( n5 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2828,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),96,theory(equality)]) ).
cnf(2833,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2829,215,theory(equality)]),93,theory(equality)]),204,theory(equality)]),114,theory(equality)]),106,theory(equality)]) ).
cnf(2834,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n5),succ(n5))) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,2832,theory(equality)]) ).
cnf(2835,plain,
( sum(sum(pred(esk3_0),succ(n5)),sum(pred(n5),succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,2832,theory(equality)]) ).
cnf(2836,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n10) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2834,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(2837,plain,
( sum(sum(pred(esk3_0),n6),sum(n4,succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2835,219,theory(equality)]),208,theory(equality)]) ).
cnf(2853,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2836,2833,theory(equality)]) ).
cnf(2854,plain,
( n9 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2853,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(2855,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n9),succ(n9))) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,2854,theory(equality)]) ).
cnf(2856,plain,
( sum(sum(pred(esk5_0),succ(n9)),sum(pred(n9),succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,2854,theory(equality)]) ).
cnf(2857,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n7) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2855,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(2858,plain,
( sum(sum(pred(esk5_0),n10),sum(n8,succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2856,215,theory(equality)]),204,theory(equality)]) ).
cnf(2872,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2837,2833,theory(equality)]) ).
cnf(2873,plain,
( n9 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2872,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(2876,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2857,2873,theory(equality)]) ).
cnf(2879,plain,
( n3 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2876,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2880,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n3),succ(n3))) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,2879,theory(equality)]) ).
cnf(2881,plain,
( sum(sum(pred(esk7_0),succ(n3)),sum(pred(n3),succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,2879,theory(equality)]) ).
cnf(2882,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n6) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2880,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(2883,plain,
( sum(sum(pred(esk7_0),n4),sum(n2,succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2881,221,theory(equality)]),210,theory(equality)]) ).
cnf(2888,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2858,2873,theory(equality)]) ).
cnf(2889,plain,
( n3 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2888,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2892,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2882,2889,theory(equality)]) ).
cnf(2895,plain,
( n1 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2892,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2896,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n1),succ(n1))) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,2895,theory(equality)]) ).
cnf(2897,plain,
( sum(sum(pred(esk9_0),succ(n1)),sum(pred(n1),succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,2895,theory(equality)]) ).
cnf(2898,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n2) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2896,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(2899,plain,
( sum(sum(pred(esk9_0),n2),sum(n0,succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2897,223,theory(equality)]),212,theory(equality)]) ).
cnf(2904,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2883,2889,theory(equality)]) ).
cnf(2905,plain,
( n1 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2904,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2908,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2898,2905,theory(equality)]) ).
cnf(2911,plain,
( n4 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2908,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(2912,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n4),succ(n4))) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,2911,theory(equality)]) ).
cnf(2913,plain,
( sum(sum(pred(esk11_0),succ(n4)),sum(pred(n4),succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,2911,theory(equality)]) ).
cnf(2914,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n8) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2912,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(2915,plain,
( sum(sum(pred(esk11_0),n5),sum(n3,succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2913,220,theory(equality)]),209,theory(equality)]) ).
cnf(2920,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2899,2905,theory(equality)]) ).
cnf(2921,plain,
( n4 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2920,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(2924,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2914,2921,theory(equality)]) ).
cnf(2927,plain,
( n5 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2924,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(2928,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n5),succ(n5))) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,2927,theory(equality)]) ).
cnf(2929,plain,
( sum(sum(pred(esk13_0),succ(n5)),sum(pred(n5),succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,2927,theory(equality)]) ).
cnf(2930,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n10) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2928,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(2931,plain,
( sum(sum(pred(esk13_0),n6),sum(n4,succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2929,219,theory(equality)]),208,theory(equality)]) ).
cnf(2936,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2915,2921,theory(equality)]) ).
cnf(2937,plain,
( n5 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2936,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(2942,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2930,2937,theory(equality)]) ).
cnf(2945,plain,
( n9 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2942,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(2946,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n9),succ(n9))) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,2945,theory(equality)]) ).
cnf(2947,plain,
( sum(sum(pred(esk15_0),succ(n9)),sum(pred(n9),succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,2945,theory(equality)]) ).
cnf(2948,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n7) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2946,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(2949,plain,
( sum(sum(pred(esk15_0),n10),sum(n8,succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2947,215,theory(equality)]),204,theory(equality)]) ).
cnf(2952,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2931,2937,theory(equality)]) ).
cnf(2953,plain,
( n9 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2952,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(2956,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2948,2953,theory(equality)]) ).
cnf(2959,plain,
( n3 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2956,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2962,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n3),succ(n3))) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,2959,theory(equality)]) ).
cnf(2963,plain,
( sum(sum(pred(esk17_0),succ(n3)),sum(pred(n3),succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,2959,theory(equality)]) ).
cnf(2964,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n6) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2962,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(2965,plain,
( sum(sum(pred(esk17_0),n4),sum(n2,succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2963,221,theory(equality)]),210,theory(equality)]) ).
cnf(2968,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2949,2953,theory(equality)]) ).
cnf(2969,plain,
( n3 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2968,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(2972,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2964,2969,theory(equality)]) ).
cnf(2975,plain,
( n1 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2972,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2976,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n1),succ(n1))) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,2975,theory(equality)]) ).
cnf(2977,plain,
( sum(sum(pred(esk19_0),succ(n1)),sum(pred(n1),succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,2975,theory(equality)]) ).
cnf(2978,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n2) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2976,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(2979,plain,
( sum(sum(pred(esk19_0),n2),sum(n0,succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2977,223,theory(equality)]),212,theory(equality)]) ).
cnf(2984,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2965,2969,theory(equality)]) ).
cnf(2985,plain,
( n1 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2984,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(2988,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2978,2985,theory(equality)]) ).
cnf(2991,plain,
( n4 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2988,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(2996,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[2979,2985,theory(equality)]) ).
cnf(2997,plain,
( n4 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2996,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(2998,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n4 != esk22_0 ),
inference(spm,[status(thm)],[59,2997,theory(equality)]) ).
cnf(2999,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[2998,2991]) ).
cnf(3000,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n1 != esk20_0 ),
inference(spm,[status(thm)],[2999,2985,theory(equality)]) ).
cnf(3001,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[3000,2975]) ).
cnf(3002,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n3 != esk18_0 ),
inference(spm,[status(thm)],[3001,2969,theory(equality)]) ).
cnf(3003,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[3002,2959]) ).
cnf(3004,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n9 != esk16_0 ),
inference(spm,[status(thm)],[3003,2953,theory(equality)]) ).
cnf(3007,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[3004,2945]) ).
cnf(3008,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n5 != esk14_0 ),
inference(spm,[status(thm)],[3007,2937,theory(equality)]) ).
cnf(3009,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[3008,2927]) ).
cnf(3010,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n4 != esk12_0 ),
inference(spm,[status(thm)],[3009,2921,theory(equality)]) ).
cnf(3011,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[3010,2911]) ).
cnf(3012,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n1 != esk10_0 ),
inference(spm,[status(thm)],[3011,2905,theory(equality)]) ).
cnf(3013,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[3012,2895]) ).
cnf(3014,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n3 != esk8_0 ),
inference(spm,[status(thm)],[3013,2889,theory(equality)]) ).
cnf(3015,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[3014,2879]) ).
cnf(3016,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n9 != esk6_0 ),
inference(spm,[status(thm)],[3015,2873,theory(equality)]) ).
cnf(3017,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[3016,2854]) ).
cnf(3018,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n5 != esk4_0 ),
inference(spm,[status(thm)],[3017,2833,theory(equality)]) ).
cnf(3019,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(csr,[status(thm)],[3018,2832]) ).
cnf(3029,plain,
( sum(n9,sum(pred(n8),succ(n8))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2443,3019,theory(equality)]) ).
cnf(3030,plain,
( sum(sum(n9,succ(n8)),sum(pred(n8),n0)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2444,3019,theory(equality)]) ).
cnf(3033,plain,
( n3 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3029,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),98,theory(equality)]) ).
cnf(3034,plain,
( n3 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3030,216,theory(equality)]),94,theory(equality)]),205,theory(equality)]),125,theory(equality)]),118,theory(equality)]) ).
cnf(3035,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n3),succ(n3))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,3033,theory(equality)]) ).
cnf(3036,plain,
( sum(sum(pred(esk3_0),succ(n3)),sum(pred(n3),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,3033,theory(equality)]) ).
cnf(3037,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n6) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3035,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(3038,plain,
( sum(sum(pred(esk3_0),n4),sum(n2,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3036,221,theory(equality)]),210,theory(equality)]) ).
cnf(3065,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3037,3034,theory(equality)]) ).
cnf(3066,plain,
( n1 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3065,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(3067,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n1),succ(n1))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,3066,theory(equality)]) ).
cnf(3068,plain,
( sum(sum(pred(esk5_0),succ(n1)),sum(pred(n1),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,3066,theory(equality)]) ).
cnf(3069,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n2) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3067,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(3070,plain,
( sum(sum(pred(esk5_0),n2),sum(n0,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3068,223,theory(equality)]),212,theory(equality)]) ).
cnf(3073,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3038,3034,theory(equality)]) ).
cnf(3074,plain,
( n1 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3073,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(3079,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3069,3074,theory(equality)]) ).
cnf(3082,plain,
( n4 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3079,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(3083,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n4),succ(n4))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,3082,theory(equality)]) ).
cnf(3084,plain,
( sum(sum(pred(esk7_0),succ(n4)),sum(pred(n4),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,3082,theory(equality)]) ).
cnf(3085,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n8) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3083,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(3086,plain,
( sum(sum(pred(esk7_0),n5),sum(n3,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3084,220,theory(equality)]),209,theory(equality)]) ).
cnf(3089,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3070,3074,theory(equality)]) ).
cnf(3090,plain,
( n4 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3089,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(3093,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3085,3090,theory(equality)]) ).
cnf(3096,plain,
( n5 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3093,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(3099,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n5),succ(n5))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,3096,theory(equality)]) ).
cnf(3100,plain,
( sum(sum(pred(esk9_0),succ(n5)),sum(pred(n5),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,3096,theory(equality)]) ).
cnf(3101,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n10) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3099,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(3102,plain,
( sum(sum(pred(esk9_0),n6),sum(n4,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3100,219,theory(equality)]),208,theory(equality)]) ).
cnf(3105,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3086,3090,theory(equality)]) ).
cnf(3106,plain,
( n5 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3105,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(3109,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3101,3106,theory(equality)]) ).
cnf(3112,plain,
( n9 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3109,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(3113,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n9),succ(n9))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,3112,theory(equality)]) ).
cnf(3114,plain,
( sum(sum(pred(esk11_0),succ(n9)),sum(pred(n9),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,3112,theory(equality)]) ).
cnf(3115,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n7) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3113,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(3116,plain,
( sum(sum(pred(esk11_0),n10),sum(n8,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3114,215,theory(equality)]),204,theory(equality)]) ).
cnf(3121,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3102,3106,theory(equality)]) ).
cnf(3122,plain,
( n9 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3121,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(3125,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3115,3122,theory(equality)]) ).
cnf(3128,plain,
( n3 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3125,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(3129,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n3),succ(n3))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,3128,theory(equality)]) ).
cnf(3130,plain,
( sum(sum(pred(esk13_0),succ(n3)),sum(pred(n3),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,3128,theory(equality)]) ).
cnf(3131,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n6) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3129,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(3132,plain,
( sum(sum(pred(esk13_0),n4),sum(n2,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3130,221,theory(equality)]),210,theory(equality)]) ).
cnf(3137,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3116,3122,theory(equality)]) ).
cnf(3138,plain,
( n3 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3137,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(3141,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3131,3138,theory(equality)]) ).
cnf(3144,plain,
( n1 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3141,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(3145,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n1),succ(n1))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,3144,theory(equality)]) ).
cnf(3146,plain,
( sum(sum(pred(esk15_0),succ(n1)),sum(pred(n1),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,3144,theory(equality)]) ).
cnf(3147,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n2) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3145,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(3148,plain,
( sum(sum(pred(esk15_0),n2),sum(n0,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3146,223,theory(equality)]),212,theory(equality)]) ).
cnf(3153,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3132,3138,theory(equality)]) ).
cnf(3154,plain,
( n1 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3153,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(3157,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3147,3154,theory(equality)]) ).
cnf(3160,plain,
( n4 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3157,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(3161,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n4),succ(n4))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,3160,theory(equality)]) ).
cnf(3162,plain,
( sum(sum(pred(esk17_0),succ(n4)),sum(pred(n4),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,3160,theory(equality)]) ).
cnf(3163,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n8) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3161,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(3164,plain,
( sum(sum(pred(esk17_0),n5),sum(n3,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3162,220,theory(equality)]),209,theory(equality)]) ).
cnf(3169,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3148,3154,theory(equality)]) ).
cnf(3170,plain,
( n4 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3169,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(3173,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3163,3170,theory(equality)]) ).
cnf(3176,plain,
( n5 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3173,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(3177,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n5),succ(n5))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,3176,theory(equality)]) ).
cnf(3178,plain,
( sum(sum(pred(esk19_0),succ(n5)),sum(pred(n5),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,3176,theory(equality)]) ).
cnf(3179,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n10) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3177,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(3180,plain,
( sum(sum(pred(esk19_0),n6),sum(n4,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3178,219,theory(equality)]),208,theory(equality)]) ).
cnf(3185,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3164,3170,theory(equality)]) ).
cnf(3186,plain,
( n5 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3185,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(3189,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3179,3186,theory(equality)]) ).
cnf(3192,plain,
( n9 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3189,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(3197,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3180,3186,theory(equality)]) ).
cnf(3198,plain,
( n9 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3197,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(3201,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n9 != esk22_0 ),
inference(spm,[status(thm)],[59,3198,theory(equality)]) ).
cnf(3202,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[3201,3192]) ).
cnf(3203,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n5 != esk20_0 ),
inference(spm,[status(thm)],[3202,3186,theory(equality)]) ).
cnf(3204,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[3203,3176]) ).
cnf(3205,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n4 != esk18_0 ),
inference(spm,[status(thm)],[3204,3170,theory(equality)]) ).
cnf(3206,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[3205,3160]) ).
cnf(3207,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n1 != esk16_0 ),
inference(spm,[status(thm)],[3206,3154,theory(equality)]) ).
cnf(3208,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[3207,3144]) ).
cnf(3209,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n3 != esk14_0 ),
inference(spm,[status(thm)],[3208,3138,theory(equality)]) ).
cnf(3210,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[3209,3128]) ).
cnf(3211,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n9 != esk12_0 ),
inference(spm,[status(thm)],[3210,3122,theory(equality)]) ).
cnf(3212,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[3211,3112]) ).
cnf(3213,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n5 != esk10_0 ),
inference(spm,[status(thm)],[3212,3106,theory(equality)]) ).
cnf(3214,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[3213,3096]) ).
cnf(3215,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n4 != esk8_0 ),
inference(spm,[status(thm)],[3214,3090,theory(equality)]) ).
cnf(3216,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[3215,3082]) ).
cnf(3217,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n1 != esk6_0 ),
inference(spm,[status(thm)],[3216,3074,theory(equality)]) ).
cnf(3218,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[3217,3066]) ).
cnf(3219,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n3 != esk4_0 ),
inference(spm,[status(thm)],[3218,3034,theory(equality)]) ).
cnf(3220,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[3219,3033]) ).
cnf(3229,plain,
( sum(n9,sum(pred(n7),succ(n7))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[2443,3220,theory(equality)]) ).
cnf(3230,plain,
( sum(sum(n9,succ(n7)),sum(pred(n7),n0)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[2444,3220,theory(equality)]) ).
cnf(3233,plain,
( n1 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3229,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),100,theory(equality)]) ).
cnf(3234,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3230,217,theory(equality)]),95,theory(equality)]),206,theory(equality)]),136,theory(equality)]),130,theory(equality)]) ).
cnf(3235,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n1),succ(n1))) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,3233,theory(equality)]) ).
cnf(3236,plain,
( sum(sum(pred(esk3_0),succ(n1)),sum(pred(n1),succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,3233,theory(equality)]) ).
cnf(3237,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n2) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3235,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(3238,plain,
( sum(sum(pred(esk3_0),n2),sum(n0,succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3236,223,theory(equality)]),212,theory(equality)]) ).
cnf(3254,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3237,3234,theory(equality)]) ).
cnf(3255,plain,
( n4 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3254,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(3256,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n4),succ(n4))) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,3255,theory(equality)]) ).
cnf(3257,plain,
( sum(sum(pred(esk5_0),succ(n4)),sum(pred(n4),succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,3255,theory(equality)]) ).
cnf(3258,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n8) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3256,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(3259,plain,
( sum(sum(pred(esk5_0),n5),sum(n3,succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3257,220,theory(equality)]),209,theory(equality)]) ).
cnf(3273,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3238,3234,theory(equality)]) ).
cnf(3274,plain,
( n4 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3273,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(3277,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3258,3274,theory(equality)]) ).
cnf(3280,plain,
( n5 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3277,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(3281,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n5),succ(n5))) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,3280,theory(equality)]) ).
cnf(3282,plain,
( sum(sum(pred(esk7_0),succ(n5)),sum(pred(n5),succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,3280,theory(equality)]) ).
cnf(3283,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n10) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3281,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(3284,plain,
( sum(sum(pred(esk7_0),n6),sum(n4,succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3282,219,theory(equality)]),208,theory(equality)]) ).
cnf(3289,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3259,3274,theory(equality)]) ).
cnf(3290,plain,
( n5 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3289,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(3293,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3283,3290,theory(equality)]) ).
cnf(3296,plain,
( n9 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3293,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(3297,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n9),succ(n9))) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,3296,theory(equality)]) ).
cnf(3298,plain,
( sum(sum(pred(esk9_0),succ(n9)),sum(pred(n9),succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,3296,theory(equality)]) ).
cnf(3299,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n7) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3297,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(3300,plain,
( sum(sum(pred(esk9_0),n10),sum(n8,succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3298,215,theory(equality)]),204,theory(equality)]) ).
cnf(3305,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3284,3290,theory(equality)]) ).
cnf(3306,plain,
( n9 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3305,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(3309,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3299,3306,theory(equality)]) ).
cnf(3312,plain,
( n3 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3309,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(3313,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n3),succ(n3))) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,3312,theory(equality)]) ).
cnf(3314,plain,
( sum(sum(pred(esk11_0),succ(n3)),sum(pred(n3),succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,3312,theory(equality)]) ).
cnf(3315,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n6) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3313,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(3316,plain,
( sum(sum(pred(esk11_0),n4),sum(n2,succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3314,221,theory(equality)]),210,theory(equality)]) ).
cnf(3321,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3300,3306,theory(equality)]) ).
cnf(3322,plain,
( n3 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3321,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(3325,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3315,3322,theory(equality)]) ).
cnf(3328,plain,
( n1 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3325,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(3329,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n1),succ(n1))) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,3328,theory(equality)]) ).
cnf(3330,plain,
( sum(sum(pred(esk13_0),succ(n1)),sum(pred(n1),succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,3328,theory(equality)]) ).
cnf(3331,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n2) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3329,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(3332,plain,
( sum(sum(pred(esk13_0),n2),sum(n0,succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3330,223,theory(equality)]),212,theory(equality)]) ).
cnf(3337,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3316,3322,theory(equality)]) ).
cnf(3338,plain,
( n1 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3337,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(3343,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3331,3338,theory(equality)]) ).
cnf(3346,plain,
( n4 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3343,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(3347,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n4),succ(n4))) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,3346,theory(equality)]) ).
cnf(3348,plain,
( sum(sum(pred(esk15_0),succ(n4)),sum(pred(n4),succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,3346,theory(equality)]) ).
cnf(3349,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n8) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3347,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(3350,plain,
( sum(sum(pred(esk15_0),n5),sum(n3,succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3348,220,theory(equality)]),209,theory(equality)]) ).
cnf(3353,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3332,3338,theory(equality)]) ).
cnf(3354,plain,
( n4 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3353,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(3357,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3349,3354,theory(equality)]) ).
cnf(3360,plain,
( n5 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3357,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(3363,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n5),succ(n5))) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,3360,theory(equality)]) ).
cnf(3364,plain,
( sum(sum(pred(esk17_0),succ(n5)),sum(pred(n5),succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,3360,theory(equality)]) ).
cnf(3365,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n10) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3363,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(3366,plain,
( sum(sum(pred(esk17_0),n6),sum(n4,succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3364,219,theory(equality)]),208,theory(equality)]) ).
cnf(3369,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3350,3354,theory(equality)]) ).
cnf(3370,plain,
( n5 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3369,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(3373,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3365,3370,theory(equality)]) ).
cnf(3376,plain,
( n9 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3373,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(3377,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n9),succ(n9))) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,3376,theory(equality)]) ).
cnf(3378,plain,
( sum(sum(pred(esk19_0),succ(n9)),sum(pred(n9),succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,3376,theory(equality)]) ).
cnf(3379,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n7) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3377,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(3380,plain,
( sum(sum(pred(esk19_0),n10),sum(n8,succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3378,215,theory(equality)]),204,theory(equality)]) ).
cnf(3385,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3366,3370,theory(equality)]) ).
cnf(3386,plain,
( n9 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3385,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(3389,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3379,3386,theory(equality)]) ).
cnf(3392,plain,
( n3 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3389,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(3397,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[3380,3386,theory(equality)]) ).
cnf(3398,plain,
( n3 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3397,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(3399,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n3 != esk22_0 ),
inference(spm,[status(thm)],[59,3398,theory(equality)]) ).
cnf(3400,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[3399,3392]) ).
cnf(3401,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n9 != esk20_0 ),
inference(spm,[status(thm)],[3400,3386,theory(equality)]) ).
cnf(3402,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[3401,3376]) ).
cnf(3403,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n5 != esk18_0 ),
inference(spm,[status(thm)],[3402,3370,theory(equality)]) ).
cnf(3404,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[3403,3360]) ).
cnf(3405,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n4 != esk16_0 ),
inference(spm,[status(thm)],[3404,3354,theory(equality)]) ).
cnf(3408,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[3405,3346]) ).
cnf(3409,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n1 != esk14_0 ),
inference(spm,[status(thm)],[3408,3338,theory(equality)]) ).
cnf(3410,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[3409,3328]) ).
cnf(3411,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n3 != esk12_0 ),
inference(spm,[status(thm)],[3410,3322,theory(equality)]) ).
cnf(3412,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[3411,3312]) ).
cnf(3413,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n9 != esk10_0 ),
inference(spm,[status(thm)],[3412,3306,theory(equality)]) ).
cnf(3414,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[3413,3296]) ).
cnf(3415,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n5 != esk8_0 ),
inference(spm,[status(thm)],[3414,3290,theory(equality)]) ).
cnf(3416,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[3415,3280]) ).
cnf(3417,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n4 != esk6_0 ),
inference(spm,[status(thm)],[3416,3274,theory(equality)]) ).
cnf(3418,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[3417,3255]) ).
cnf(3419,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n1 != esk4_0 ),
inference(spm,[status(thm)],[3418,3234,theory(equality)]) ).
cnf(3420,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(csr,[status(thm)],[3419,3233]) ).
cnf(3428,plain,
( sum(n9,sum(pred(n6),succ(n6))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2443,3420,theory(equality)]) ).
cnf(3429,plain,
( sum(sum(n9,succ(n6)),sum(pred(n6),n0)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2444,3420,theory(equality)]) ).
cnf(3432,plain,
( n10 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3428,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),102,theory(equality)]) ).
cnf(3433,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3429,218,theory(equality)]),96,theory(equality)]),207,theory(equality)]),147,theory(equality)]),142,theory(equality)]) ).
cnf(3434,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n10),succ(n10))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,3432,theory(equality)]) ).
cnf(3435,plain,
( sum(sum(pred(esk3_0),succ(n10)),sum(pred(n10),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,3432,theory(equality)]) ).
cnf(3436,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n9) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3434,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(3437,plain,
( sum(sum(pred(esk3_0),n0),sum(n9,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3435,214,theory(equality)]),203,theory(equality)]) ).
cnf(3453,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3436,3433,theory(equality)]) ).
cnf(3454,plain,
( n7 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3453,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3466,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n7),succ(n7))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,3454,theory(equality)]) ).
cnf(3467,plain,
( sum(sum(pred(esk5_0),succ(n7)),sum(pred(n7),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,3454,theory(equality)]) ).
cnf(3468,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n3) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3466,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(3469,plain,
( sum(sum(pred(esk5_0),n8),sum(n6,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3467,217,theory(equality)]),206,theory(equality)]) ).
cnf(3472,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3437,3433,theory(equality)]) ).
cnf(3473,plain,
( n7 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3472,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3476,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3468,3473,theory(equality)]) ).
cnf(3479,plain,
( n6 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3476,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(3480,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n6),succ(n6))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,3479,theory(equality)]) ).
cnf(3481,plain,
( sum(sum(pred(esk7_0),succ(n6)),sum(pred(n6),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,3479,theory(equality)]) ).
cnf(3482,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n1) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3480,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(3483,plain,
( sum(sum(pred(esk7_0),n7),sum(n5,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3481,218,theory(equality)]),207,theory(equality)]) ).
cnf(3488,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3469,3473,theory(equality)]) ).
cnf(3489,plain,
( n6 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3488,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(3492,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3482,3489,theory(equality)]) ).
cnf(3495,plain,
( n2 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3492,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3496,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n2),succ(n2))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,3495,theory(equality)]) ).
cnf(3497,plain,
( sum(sum(pred(esk9_0),succ(n2)),sum(pred(n2),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,3495,theory(equality)]) ).
cnf(3498,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n4) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3496,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(3499,plain,
( sum(sum(pred(esk9_0),n3),sum(n1,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3497,222,theory(equality)]),211,theory(equality)]) ).
cnf(3504,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3483,3489,theory(equality)]) ).
cnf(3505,plain,
( n2 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3504,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3508,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3498,3505,theory(equality)]) ).
cnf(3511,plain,
( n8 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3508,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(3512,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n8),succ(n8))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,3511,theory(equality)]) ).
cnf(3513,plain,
( sum(sum(pred(esk11_0),succ(n8)),sum(pred(n8),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,3511,theory(equality)]) ).
cnf(3514,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n5) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3512,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(3515,plain,
( sum(sum(pred(esk11_0),n9),sum(n7,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3513,216,theory(equality)]),205,theory(equality)]) ).
cnf(3520,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3499,3505,theory(equality)]) ).
cnf(3521,plain,
( n8 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3520,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(3524,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3514,3521,theory(equality)]) ).
cnf(3527,plain,
( n10 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3524,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(3528,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n10),succ(n10))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,3527,theory(equality)]) ).
cnf(3529,plain,
( sum(sum(pred(esk13_0),succ(n10)),sum(pred(n10),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,3527,theory(equality)]) ).
cnf(3530,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n9) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3528,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(3531,plain,
( sum(sum(pred(esk13_0),n0),sum(n9,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3529,214,theory(equality)]),203,theory(equality)]) ).
cnf(3536,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3515,3521,theory(equality)]) ).
cnf(3537,plain,
( n10 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3536,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(3540,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3530,3537,theory(equality)]) ).
cnf(3543,plain,
( n7 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3540,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3544,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n7),succ(n7))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,3543,theory(equality)]) ).
cnf(3545,plain,
( sum(sum(pred(esk15_0),succ(n7)),sum(pred(n7),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,3543,theory(equality)]) ).
cnf(3546,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n3) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3544,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(3547,plain,
( sum(sum(pred(esk15_0),n8),sum(n6,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3545,217,theory(equality)]),206,theory(equality)]) ).
cnf(3552,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3531,3537,theory(equality)]) ).
cnf(3553,plain,
( n7 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3552,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3556,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3546,3553,theory(equality)]) ).
cnf(3559,plain,
( n6 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3556,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(3560,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n6),succ(n6))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,3559,theory(equality)]) ).
cnf(3561,plain,
( sum(sum(pred(esk17_0),succ(n6)),sum(pred(n6),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,3559,theory(equality)]) ).
cnf(3562,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n1) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3560,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(3563,plain,
( sum(sum(pred(esk17_0),n7),sum(n5,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3561,218,theory(equality)]),207,theory(equality)]) ).
cnf(3568,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3547,3553,theory(equality)]) ).
cnf(3569,plain,
( n6 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3568,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(3572,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3562,3569,theory(equality)]) ).
cnf(3575,plain,
( n2 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3572,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3576,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n2),succ(n2))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,3575,theory(equality)]) ).
cnf(3577,plain,
( sum(sum(pred(esk19_0),succ(n2)),sum(pred(n2),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,3575,theory(equality)]) ).
cnf(3578,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n4) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3576,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(3579,plain,
( sum(sum(pred(esk19_0),n3),sum(n1,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3577,222,theory(equality)]),211,theory(equality)]) ).
cnf(3584,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3563,3569,theory(equality)]) ).
cnf(3585,plain,
( n2 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3584,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3590,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3578,3585,theory(equality)]) ).
cnf(3593,plain,
( n8 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3590,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(3596,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3579,3585,theory(equality)]) ).
cnf(3597,plain,
( n8 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3596,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(3598,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n8 != esk22_0 ),
inference(spm,[status(thm)],[59,3597,theory(equality)]) ).
cnf(3601,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[3598,3593]) ).
cnf(3602,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n2 != esk20_0 ),
inference(spm,[status(thm)],[3601,3585,theory(equality)]) ).
cnf(3603,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[3602,3575]) ).
cnf(3604,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n6 != esk18_0 ),
inference(spm,[status(thm)],[3603,3569,theory(equality)]) ).
cnf(3605,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[3604,3559]) ).
cnf(3606,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n7 != esk16_0 ),
inference(spm,[status(thm)],[3605,3553,theory(equality)]) ).
cnf(3607,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[3606,3543]) ).
cnf(3608,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n10 != esk14_0 ),
inference(spm,[status(thm)],[3607,3537,theory(equality)]) ).
cnf(3609,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[3608,3527]) ).
cnf(3610,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n8 != esk12_0 ),
inference(spm,[status(thm)],[3609,3521,theory(equality)]) ).
cnf(3611,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[3610,3511]) ).
cnf(3612,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n2 != esk10_0 ),
inference(spm,[status(thm)],[3611,3505,theory(equality)]) ).
cnf(3613,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[3612,3495]) ).
cnf(3614,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n6 != esk8_0 ),
inference(spm,[status(thm)],[3613,3489,theory(equality)]) ).
cnf(3615,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[3614,3479]) ).
cnf(3616,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n7 != esk6_0 ),
inference(spm,[status(thm)],[3615,3473,theory(equality)]) ).
cnf(3617,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[3616,3454]) ).
cnf(3618,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != esk4_0 ),
inference(spm,[status(thm)],[3617,3433,theory(equality)]) ).
cnf(3619,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[3618,3432]) ).
cnf(3626,plain,
( sum(n9,sum(pred(n5),succ(n5))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[2443,3619,theory(equality)]) ).
cnf(3627,plain,
( sum(sum(n9,succ(n5)),sum(pred(n5),n0)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[2444,3619,theory(equality)]) ).
cnf(3630,plain,
( n8 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3626,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),93,theory(equality)]) ).
cnf(3631,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3627,219,theory(equality)]),97,theory(equality)]),208,theory(equality)]),158,theory(equality)]),154,theory(equality)]) ).
cnf(3632,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n8),succ(n8))) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,3630,theory(equality)]) ).
cnf(3633,plain,
( sum(sum(pred(esk3_0),succ(n8)),sum(pred(n8),succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,3630,theory(equality)]) ).
cnf(3634,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n5) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3632,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(3635,plain,
( sum(sum(pred(esk3_0),n9),sum(n7,succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3633,216,theory(equality)]),205,theory(equality)]) ).
cnf(3662,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3634,3631,theory(equality)]) ).
cnf(3663,plain,
( n10 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3662,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(3664,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n10),succ(n10))) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,3663,theory(equality)]) ).
cnf(3665,plain,
( sum(sum(pred(esk5_0),succ(n10)),sum(pred(n10),succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,3663,theory(equality)]) ).
cnf(3666,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n9) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3664,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(3667,plain,
( sum(sum(pred(esk5_0),n0),sum(n9,succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3665,214,theory(equality)]),203,theory(equality)]) ).
cnf(3670,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3635,3631,theory(equality)]) ).
cnf(3671,plain,
( n10 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3670,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(3676,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3666,3671,theory(equality)]) ).
cnf(3679,plain,
( n7 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3676,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3680,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n7),succ(n7))) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,3679,theory(equality)]) ).
cnf(3681,plain,
( sum(sum(pred(esk7_0),succ(n7)),sum(pred(n7),succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,3679,theory(equality)]) ).
cnf(3682,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n3) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3680,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(3683,plain,
( sum(sum(pred(esk7_0),n8),sum(n6,succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3681,217,theory(equality)]),206,theory(equality)]) ).
cnf(3686,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3667,3671,theory(equality)]) ).
cnf(3687,plain,
( n7 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3686,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3690,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3682,3687,theory(equality)]) ).
cnf(3693,plain,
( n6 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3690,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(3696,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n6),succ(n6))) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,3693,theory(equality)]) ).
cnf(3697,plain,
( sum(sum(pred(esk9_0),succ(n6)),sum(pred(n6),succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,3693,theory(equality)]) ).
cnf(3698,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n1) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3696,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(3699,plain,
( sum(sum(pred(esk9_0),n7),sum(n5,succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3697,218,theory(equality)]),207,theory(equality)]) ).
cnf(3702,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3683,3687,theory(equality)]) ).
cnf(3703,plain,
( n6 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3702,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(3706,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3698,3703,theory(equality)]) ).
cnf(3709,plain,
( n2 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3706,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3710,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n2),succ(n2))) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,3709,theory(equality)]) ).
cnf(3711,plain,
( sum(sum(pred(esk11_0),succ(n2)),sum(pred(n2),succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,3709,theory(equality)]) ).
cnf(3712,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n4) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3710,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(3713,plain,
( sum(sum(pred(esk11_0),n3),sum(n1,succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3711,222,theory(equality)]),211,theory(equality)]) ).
cnf(3718,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3699,3703,theory(equality)]) ).
cnf(3719,plain,
( n2 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3718,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3722,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3712,3719,theory(equality)]) ).
cnf(3725,plain,
( n8 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3722,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(3726,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n8),succ(n8))) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,3725,theory(equality)]) ).
cnf(3727,plain,
( sum(sum(pred(esk13_0),succ(n8)),sum(pred(n8),succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,3725,theory(equality)]) ).
cnf(3728,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n5) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3726,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(3729,plain,
( sum(sum(pred(esk13_0),n9),sum(n7,succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3727,216,theory(equality)]),205,theory(equality)]) ).
cnf(3734,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3713,3719,theory(equality)]) ).
cnf(3735,plain,
( n8 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3734,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(3738,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3728,3735,theory(equality)]) ).
cnf(3741,plain,
( n10 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3738,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(3742,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n10),succ(n10))) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,3741,theory(equality)]) ).
cnf(3743,plain,
( sum(sum(pred(esk15_0),succ(n10)),sum(pred(n10),succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,3741,theory(equality)]) ).
cnf(3744,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n9) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3742,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(3745,plain,
( sum(sum(pred(esk15_0),n0),sum(n9,succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3743,214,theory(equality)]),203,theory(equality)]) ).
cnf(3750,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3729,3735,theory(equality)]) ).
cnf(3751,plain,
( n10 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3750,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(3754,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3744,3751,theory(equality)]) ).
cnf(3757,plain,
( n7 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3754,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3758,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n7),succ(n7))) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,3757,theory(equality)]) ).
cnf(3759,plain,
( sum(sum(pred(esk17_0),succ(n7)),sum(pred(n7),succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,3757,theory(equality)]) ).
cnf(3760,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n3) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3758,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(3761,plain,
( sum(sum(pred(esk17_0),n8),sum(n6,succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3759,217,theory(equality)]),206,theory(equality)]) ).
cnf(3766,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3745,3751,theory(equality)]) ).
cnf(3767,plain,
( n7 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3766,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3770,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3760,3767,theory(equality)]) ).
cnf(3773,plain,
( n6 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3770,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(3774,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n6),succ(n6))) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,3773,theory(equality)]) ).
cnf(3775,plain,
( sum(sum(pred(esk19_0),succ(n6)),sum(pred(n6),succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,3773,theory(equality)]) ).
cnf(3776,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n1) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3774,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(3777,plain,
( sum(sum(pred(esk19_0),n7),sum(n5,succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3775,218,theory(equality)]),207,theory(equality)]) ).
cnf(3782,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3761,3767,theory(equality)]) ).
cnf(3783,plain,
( n6 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3782,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(3786,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3776,3783,theory(equality)]) ).
cnf(3789,plain,
( n2 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3786,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3794,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[3777,3783,theory(equality)]) ).
cnf(3795,plain,
( n2 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3794,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3798,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n2 != esk22_0 ),
inference(spm,[status(thm)],[59,3795,theory(equality)]) ).
cnf(3799,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[3798,3789]) ).
cnf(3800,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n6 != esk20_0 ),
inference(spm,[status(thm)],[3799,3783,theory(equality)]) ).
cnf(3801,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[3800,3773]) ).
cnf(3802,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n7 != esk18_0 ),
inference(spm,[status(thm)],[3801,3767,theory(equality)]) ).
cnf(3803,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[3802,3757]) ).
cnf(3804,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n10 != esk16_0 ),
inference(spm,[status(thm)],[3803,3751,theory(equality)]) ).
cnf(3805,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[3804,3741]) ).
cnf(3806,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n8 != esk14_0 ),
inference(spm,[status(thm)],[3805,3735,theory(equality)]) ).
cnf(3807,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[3806,3725]) ).
cnf(3808,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n2 != esk12_0 ),
inference(spm,[status(thm)],[3807,3719,theory(equality)]) ).
cnf(3809,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[3808,3709]) ).
cnf(3810,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n6 != esk10_0 ),
inference(spm,[status(thm)],[3809,3703,theory(equality)]) ).
cnf(3811,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[3810,3693]) ).
cnf(3812,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n7 != esk8_0 ),
inference(spm,[status(thm)],[3811,3687,theory(equality)]) ).
cnf(3813,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[3812,3679]) ).
cnf(3814,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n10 != esk6_0 ),
inference(spm,[status(thm)],[3813,3671,theory(equality)]) ).
cnf(3815,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[3814,3663]) ).
cnf(3816,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n8 != esk4_0 ),
inference(spm,[status(thm)],[3815,3631,theory(equality)]) ).
cnf(3817,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(csr,[status(thm)],[3816,3630]) ).
cnf(3823,plain,
( sum(n9,sum(pred(n4),succ(n4))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2443,3817,theory(equality)]) ).
cnf(3824,plain,
( sum(sum(n9,succ(n4)),sum(pred(n4),n0)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2444,3817,theory(equality)]) ).
cnf(3827,plain,
( n6 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3823,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),95,theory(equality)]) ).
cnf(3828,plain,
( n6 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3824,220,theory(equality)]),98,theory(equality)]),209,theory(equality)]),169,theory(equality)]),166,theory(equality)]) ).
cnf(3829,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n6),succ(n6))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,3827,theory(equality)]) ).
cnf(3830,plain,
( sum(sum(pred(esk3_0),succ(n6)),sum(pred(n6),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,3827,theory(equality)]) ).
cnf(3831,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n1) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3829,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(3832,plain,
( sum(sum(pred(esk3_0),n7),sum(n5,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3830,218,theory(equality)]),207,theory(equality)]) ).
cnf(3848,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3831,3828,theory(equality)]) ).
cnf(3849,plain,
( n2 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3848,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3850,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n2),succ(n2))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,3849,theory(equality)]) ).
cnf(3851,plain,
( sum(sum(pred(esk5_0),succ(n2)),sum(pred(n2),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,3849,theory(equality)]) ).
cnf(3852,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n4) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3850,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(3853,plain,
( sum(sum(pred(esk5_0),n3),sum(n1,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3851,222,theory(equality)]),211,theory(equality)]) ).
cnf(3867,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3832,3828,theory(equality)]) ).
cnf(3868,plain,
( n2 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3867,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3871,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3852,3868,theory(equality)]) ).
cnf(3874,plain,
( n8 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3871,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(3875,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n8),succ(n8))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,3874,theory(equality)]) ).
cnf(3876,plain,
( sum(sum(pred(esk7_0),succ(n8)),sum(pred(n8),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,3874,theory(equality)]) ).
cnf(3877,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n5) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3875,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(3878,plain,
( sum(sum(pred(esk7_0),n9),sum(n7,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3876,216,theory(equality)]),205,theory(equality)]) ).
cnf(3883,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3853,3868,theory(equality)]) ).
cnf(3884,plain,
( n8 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3883,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(3889,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3877,3884,theory(equality)]) ).
cnf(3892,plain,
( n10 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3889,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(3893,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n10),succ(n10))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,3892,theory(equality)]) ).
cnf(3894,plain,
( sum(sum(pred(esk9_0),succ(n10)),sum(pred(n10),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,3892,theory(equality)]) ).
cnf(3895,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n9) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3893,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(3896,plain,
( sum(sum(pred(esk9_0),n0),sum(n9,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3894,214,theory(equality)]),203,theory(equality)]) ).
cnf(3899,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3878,3884,theory(equality)]) ).
cnf(3900,plain,
( n10 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3899,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(3903,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3895,3900,theory(equality)]) ).
cnf(3906,plain,
( n7 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3903,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3909,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n7),succ(n7))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,3906,theory(equality)]) ).
cnf(3910,plain,
( sum(sum(pred(esk11_0),succ(n7)),sum(pred(n7),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,3906,theory(equality)]) ).
cnf(3911,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n3) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3909,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(3912,plain,
( sum(sum(pred(esk11_0),n8),sum(n6,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3910,217,theory(equality)]),206,theory(equality)]) ).
cnf(3915,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3896,3900,theory(equality)]) ).
cnf(3916,plain,
( n7 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3915,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3919,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3911,3916,theory(equality)]) ).
cnf(3922,plain,
( n6 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3919,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(3923,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n6),succ(n6))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,3922,theory(equality)]) ).
cnf(3924,plain,
( sum(sum(pred(esk13_0),succ(n6)),sum(pred(n6),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,3922,theory(equality)]) ).
cnf(3925,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n1) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3923,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(3926,plain,
( sum(sum(pred(esk13_0),n7),sum(n5,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3924,218,theory(equality)]),207,theory(equality)]) ).
cnf(3931,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3912,3916,theory(equality)]) ).
cnf(3932,plain,
( n6 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3931,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(3935,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3925,3932,theory(equality)]) ).
cnf(3938,plain,
( n2 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3935,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3939,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n2),succ(n2))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,3938,theory(equality)]) ).
cnf(3940,plain,
( sum(sum(pred(esk15_0),succ(n2)),sum(pred(n2),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,3938,theory(equality)]) ).
cnf(3941,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n4) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3939,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(3942,plain,
( sum(sum(pred(esk15_0),n3),sum(n1,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3940,222,theory(equality)]),211,theory(equality)]) ).
cnf(3947,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3926,3932,theory(equality)]) ).
cnf(3948,plain,
( n2 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3947,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(3951,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3941,3948,theory(equality)]) ).
cnf(3954,plain,
( n8 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3951,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(3955,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n8),succ(n8))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,3954,theory(equality)]) ).
cnf(3956,plain,
( sum(sum(pred(esk17_0),succ(n8)),sum(pred(n8),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,3954,theory(equality)]) ).
cnf(3957,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n5) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3955,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(3958,plain,
( sum(sum(pred(esk17_0),n9),sum(n7,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3956,216,theory(equality)]),205,theory(equality)]) ).
cnf(3963,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3942,3948,theory(equality)]) ).
cnf(3964,plain,
( n8 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3963,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(3967,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3957,3964,theory(equality)]) ).
cnf(3970,plain,
( n10 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3967,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(3971,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n10),succ(n10))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,3970,theory(equality)]) ).
cnf(3972,plain,
( sum(sum(pred(esk19_0),succ(n10)),sum(pred(n10),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,3970,theory(equality)]) ).
cnf(3973,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n9) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3971,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(3974,plain,
( sum(sum(pred(esk19_0),n0),sum(n9,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3972,214,theory(equality)]),203,theory(equality)]) ).
cnf(3979,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3958,3964,theory(equality)]) ).
cnf(3980,plain,
( n10 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3979,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(3983,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3973,3980,theory(equality)]) ).
cnf(3986,plain,
( n7 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3983,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3991,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3974,3980,theory(equality)]) ).
cnf(3992,plain,
( n7 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3991,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(3993,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n7 != esk22_0 ),
inference(spm,[status(thm)],[59,3992,theory(equality)]) ).
cnf(3996,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[3993,3986]) ).
cnf(3997,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n10 != esk20_0 ),
inference(spm,[status(thm)],[3996,3980,theory(equality)]) ).
cnf(3998,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[3997,3970]) ).
cnf(3999,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n8 != esk18_0 ),
inference(spm,[status(thm)],[3998,3964,theory(equality)]) ).
cnf(4000,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[3999,3954]) ).
cnf(4001,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n2 != esk16_0 ),
inference(spm,[status(thm)],[4000,3948,theory(equality)]) ).
cnf(4002,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[4001,3938]) ).
cnf(4003,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n6 != esk14_0 ),
inference(spm,[status(thm)],[4002,3932,theory(equality)]) ).
cnf(4004,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[4003,3922]) ).
cnf(4005,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n7 != esk12_0 ),
inference(spm,[status(thm)],[4004,3916,theory(equality)]) ).
cnf(4006,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[4005,3906]) ).
cnf(4007,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n10 != esk10_0 ),
inference(spm,[status(thm)],[4006,3900,theory(equality)]) ).
cnf(4008,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[4007,3892]) ).
cnf(4009,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n8 != esk8_0 ),
inference(spm,[status(thm)],[4008,3884,theory(equality)]) ).
cnf(4010,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[4009,3874]) ).
cnf(4011,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n2 != esk6_0 ),
inference(spm,[status(thm)],[4010,3868,theory(equality)]) ).
cnf(4012,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[4011,3849]) ).
cnf(4013,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != esk4_0 ),
inference(spm,[status(thm)],[4012,3828,theory(equality)]) ).
cnf(4014,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[4013,3827]) ).
cnf(4019,plain,
( sum(n9,sum(pred(n3),succ(n3))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[2443,4014,theory(equality)]) ).
cnf(4020,plain,
( sum(sum(n9,succ(n3)),sum(pred(n3),n0)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[2444,4014,theory(equality)]) ).
cnf(4023,plain,
( n4 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4019,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),97,theory(equality)]) ).
cnf(4024,plain,
( n4 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4020,221,theory(equality)]),99,theory(equality)]),210,theory(equality)]),180,theory(equality)]),178,theory(equality)]) ).
cnf(4025,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n4),succ(n4))) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,4023,theory(equality)]) ).
cnf(4026,plain,
( sum(sum(pred(esk3_0),succ(n4)),sum(pred(n4),succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,4023,theory(equality)]) ).
cnf(4027,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n8) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4025,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(4028,plain,
( sum(sum(pred(esk3_0),n5),sum(n3,succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4026,220,theory(equality)]),209,theory(equality)]) ).
cnf(4044,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4027,4024,theory(equality)]) ).
cnf(4045,plain,
( n5 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4044,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(4046,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n5),succ(n5))) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,4045,theory(equality)]) ).
cnf(4047,plain,
( sum(sum(pred(esk5_0),succ(n5)),sum(pred(n5),succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,4045,theory(equality)]) ).
cnf(4048,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n10) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4046,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(4049,plain,
( sum(sum(pred(esk5_0),n6),sum(n4,succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4047,219,theory(equality)]),208,theory(equality)]) ).
cnf(4063,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4028,4024,theory(equality)]) ).
cnf(4064,plain,
( n5 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4063,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(4067,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4048,4064,theory(equality)]) ).
cnf(4070,plain,
( n9 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4067,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(4071,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n9),succ(n9))) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,4070,theory(equality)]) ).
cnf(4072,plain,
( sum(sum(pred(esk7_0),succ(n9)),sum(pred(n9),succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,4070,theory(equality)]) ).
cnf(4073,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n7) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4071,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(4074,plain,
( sum(sum(pred(esk7_0),n10),sum(n8,succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4072,215,theory(equality)]),204,theory(equality)]) ).
cnf(4079,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4049,4064,theory(equality)]) ).
cnf(4080,plain,
( n9 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4079,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(4085,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4073,4080,theory(equality)]) ).
cnf(4088,plain,
( n3 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4085,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(4089,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n3),succ(n3))) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,4088,theory(equality)]) ).
cnf(4090,plain,
( sum(sum(pred(esk9_0),succ(n3)),sum(pred(n3),succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,4088,theory(equality)]) ).
cnf(4091,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n6) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4089,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(4092,plain,
( sum(sum(pred(esk9_0),n4),sum(n2,succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4090,221,theory(equality)]),210,theory(equality)]) ).
cnf(4095,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4074,4080,theory(equality)]) ).
cnf(4096,plain,
( n3 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4095,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(4099,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4091,4096,theory(equality)]) ).
cnf(4102,plain,
( n1 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4099,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(4105,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n1),succ(n1))) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,4102,theory(equality)]) ).
cnf(4106,plain,
( sum(sum(pred(esk11_0),succ(n1)),sum(pred(n1),succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,4102,theory(equality)]) ).
cnf(4107,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n2) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4105,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(4108,plain,
( sum(sum(pred(esk11_0),n2),sum(n0,succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4106,223,theory(equality)]),212,theory(equality)]) ).
cnf(4111,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4092,4096,theory(equality)]) ).
cnf(4112,plain,
( n1 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4111,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(4115,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4107,4112,theory(equality)]) ).
cnf(4118,plain,
( n4 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4115,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(4119,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n4),succ(n4))) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,4118,theory(equality)]) ).
cnf(4120,plain,
( sum(sum(pred(esk13_0),succ(n4)),sum(pred(n4),succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,4118,theory(equality)]) ).
cnf(4121,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n8) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4119,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(4122,plain,
( sum(sum(pred(esk13_0),n5),sum(n3,succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4120,220,theory(equality)]),209,theory(equality)]) ).
cnf(4127,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4108,4112,theory(equality)]) ).
cnf(4128,plain,
( n4 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4127,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(4131,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4121,4128,theory(equality)]) ).
cnf(4134,plain,
( n5 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4131,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(4135,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n5),succ(n5))) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,4134,theory(equality)]) ).
cnf(4136,plain,
( sum(sum(pred(esk15_0),succ(n5)),sum(pred(n5),succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,4134,theory(equality)]) ).
cnf(4137,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n10) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4135,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(4138,plain,
( sum(sum(pred(esk15_0),n6),sum(n4,succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4136,219,theory(equality)]),208,theory(equality)]) ).
cnf(4143,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4122,4128,theory(equality)]) ).
cnf(4144,plain,
( n5 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4143,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(4147,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4137,4144,theory(equality)]) ).
cnf(4150,plain,
( n9 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4147,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(4151,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n9),succ(n9))) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,4150,theory(equality)]) ).
cnf(4152,plain,
( sum(sum(pred(esk17_0),succ(n9)),sum(pred(n9),succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,4150,theory(equality)]) ).
cnf(4153,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n7) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4151,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(4154,plain,
( sum(sum(pred(esk17_0),n10),sum(n8,succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4152,215,theory(equality)]),204,theory(equality)]) ).
cnf(4159,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4138,4144,theory(equality)]) ).
cnf(4160,plain,
( n9 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4159,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(4163,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4153,4160,theory(equality)]) ).
cnf(4166,plain,
( n3 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4163,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(4167,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n3),succ(n3))) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,4166,theory(equality)]) ).
cnf(4168,plain,
( sum(sum(pred(esk19_0),succ(n3)),sum(pred(n3),succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,4166,theory(equality)]) ).
cnf(4169,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n6) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4167,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(4170,plain,
( sum(sum(pred(esk19_0),n4),sum(n2,succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4168,221,theory(equality)]),210,theory(equality)]) ).
cnf(4175,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4154,4160,theory(equality)]) ).
cnf(4176,plain,
( n3 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4175,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(4179,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4169,4176,theory(equality)]) ).
cnf(4182,plain,
( n1 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4179,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(4187,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4170,4176,theory(equality)]) ).
cnf(4188,plain,
( n1 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4187,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(4189,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n1 != esk22_0 ),
inference(spm,[status(thm)],[59,4188,theory(equality)]) ).
cnf(4192,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[4189,4182]) ).
cnf(4193,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n3 != esk20_0 ),
inference(spm,[status(thm)],[4192,4176,theory(equality)]) ).
cnf(4194,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[4193,4166]) ).
cnf(4195,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n9 != esk18_0 ),
inference(spm,[status(thm)],[4194,4160,theory(equality)]) ).
cnf(4196,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[4195,4150]) ).
cnf(4197,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n5 != esk16_0 ),
inference(spm,[status(thm)],[4196,4144,theory(equality)]) ).
cnf(4198,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[4197,4134]) ).
cnf(4199,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n4 != esk14_0 ),
inference(spm,[status(thm)],[4198,4128,theory(equality)]) ).
cnf(4200,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[4199,4118]) ).
cnf(4201,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n1 != esk12_0 ),
inference(spm,[status(thm)],[4200,4112,theory(equality)]) ).
cnf(4202,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[4201,4102]) ).
cnf(4203,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n3 != esk10_0 ),
inference(spm,[status(thm)],[4202,4096,theory(equality)]) ).
cnf(4204,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[4203,4088]) ).
cnf(4205,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n9 != esk8_0 ),
inference(spm,[status(thm)],[4204,4080,theory(equality)]) ).
cnf(4206,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[4205,4070]) ).
cnf(4207,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n5 != esk6_0 ),
inference(spm,[status(thm)],[4206,4064,theory(equality)]) ).
cnf(4208,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[4207,4045]) ).
cnf(4209,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| n4 != esk4_0 ),
inference(spm,[status(thm)],[4208,4024,theory(equality)]) ).
cnf(4210,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(csr,[status(thm)],[4209,4023]) ).
cnf(4214,plain,
( sum(n9,sum(pred(n2),succ(n2))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2443,4210,theory(equality)]) ).
cnf(4215,plain,
( sum(sum(n9,succ(n2)),sum(pred(n2),n0)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[2444,4210,theory(equality)]) ).
cnf(4218,plain,
( n2 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4214,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),99,theory(equality)]) ).
cnf(4219,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4215,222,theory(equality)]),100,theory(equality)]),211,theory(equality)]),191,theory(equality)]),190,theory(equality)]) ).
cnf(4220,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n2),succ(n2))) = esk6_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,4218,theory(equality)]) ).
cnf(4221,plain,
( sum(sum(pred(esk3_0),succ(n2)),sum(pred(n2),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,4218,theory(equality)]) ).
cnf(4222,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n4) = esk6_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4220,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(4223,plain,
( sum(sum(pred(esk3_0),n3),sum(n1,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4221,222,theory(equality)]),211,theory(equality)]) ).
cnf(4250,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4222,4219,theory(equality)]) ).
cnf(4251,plain,
( n8 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4250,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(4252,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n8),succ(n8))) = esk8_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,4251,theory(equality)]) ).
cnf(4253,plain,
( sum(sum(pred(esk5_0),succ(n8)),sum(pred(n8),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,4251,theory(equality)]) ).
cnf(4254,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n5) = esk8_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4252,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(4255,plain,
( sum(sum(pred(esk5_0),n9),sum(n7,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4253,216,theory(equality)]),205,theory(equality)]) ).
cnf(4258,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4223,4219,theory(equality)]) ).
cnf(4259,plain,
( n8 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4258,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(4264,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4254,4259,theory(equality)]) ).
cnf(4267,plain,
( n10 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4264,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(4268,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n10),succ(n10))) = esk10_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,4267,theory(equality)]) ).
cnf(4269,plain,
( sum(sum(pred(esk7_0),succ(n10)),sum(pred(n10),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,4267,theory(equality)]) ).
cnf(4270,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n9) = esk10_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4268,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(4271,plain,
( sum(sum(pred(esk7_0),n0),sum(n9,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4269,214,theory(equality)]),203,theory(equality)]) ).
cnf(4274,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4255,4259,theory(equality)]) ).
cnf(4275,plain,
( n10 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4274,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(4278,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4270,4275,theory(equality)]) ).
cnf(4281,plain,
( n7 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4278,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(4284,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n7),succ(n7))) = esk12_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,4281,theory(equality)]) ).
cnf(4285,plain,
( sum(sum(pred(esk9_0),succ(n7)),sum(pred(n7),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,4281,theory(equality)]) ).
cnf(4286,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n3) = esk12_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4284,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(4287,plain,
( sum(sum(pred(esk9_0),n8),sum(n6,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4285,217,theory(equality)]),206,theory(equality)]) ).
cnf(4290,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4271,4275,theory(equality)]) ).
cnf(4291,plain,
( n7 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4290,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(4294,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4286,4291,theory(equality)]) ).
cnf(4297,plain,
( n6 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4294,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(4298,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n6),succ(n6))) = esk14_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,4297,theory(equality)]) ).
cnf(4299,plain,
( sum(sum(pred(esk11_0),succ(n6)),sum(pred(n6),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,4297,theory(equality)]) ).
cnf(4300,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n1) = esk14_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4298,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(4301,plain,
( sum(sum(pred(esk11_0),n7),sum(n5,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4299,218,theory(equality)]),207,theory(equality)]) ).
cnf(4306,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4287,4291,theory(equality)]) ).
cnf(4307,plain,
( n6 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4306,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(4310,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4300,4307,theory(equality)]) ).
cnf(4313,plain,
( n2 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4310,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(4314,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n2),succ(n2))) = esk16_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,4313,theory(equality)]) ).
cnf(4315,plain,
( sum(sum(pred(esk13_0),succ(n2)),sum(pred(n2),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,4313,theory(equality)]) ).
cnf(4316,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n4) = esk16_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4314,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(4317,plain,
( sum(sum(pred(esk13_0),n3),sum(n1,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4315,222,theory(equality)]),211,theory(equality)]) ).
cnf(4322,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4301,4307,theory(equality)]) ).
cnf(4323,plain,
( n2 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4322,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(4326,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4316,4323,theory(equality)]) ).
cnf(4329,plain,
( n8 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4326,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(4330,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n8),succ(n8))) = esk18_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,4329,theory(equality)]) ).
cnf(4331,plain,
( sum(sum(pred(esk15_0),succ(n8)),sum(pred(n8),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,4329,theory(equality)]) ).
cnf(4332,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n5) = esk18_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4330,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(4333,plain,
( sum(sum(pred(esk15_0),n9),sum(n7,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4331,216,theory(equality)]),205,theory(equality)]) ).
cnf(4338,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4317,4323,theory(equality)]) ).
cnf(4339,plain,
( n8 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4338,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(4342,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4332,4339,theory(equality)]) ).
cnf(4345,plain,
( n10 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4342,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(4346,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n10),succ(n10))) = esk20_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,4345,theory(equality)]) ).
cnf(4347,plain,
( sum(sum(pred(esk17_0),succ(n10)),sum(pred(n10),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,4345,theory(equality)]) ).
cnf(4348,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n9) = esk20_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4346,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(4349,plain,
( sum(sum(pred(esk17_0),n0),sum(n9,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4347,214,theory(equality)]),203,theory(equality)]) ).
cnf(4354,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4333,4339,theory(equality)]) ).
cnf(4355,plain,
( n10 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4354,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(4358,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4348,4355,theory(equality)]) ).
cnf(4361,plain,
( n7 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4358,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(4362,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n7),succ(n7))) = esk22_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,4361,theory(equality)]) ).
cnf(4363,plain,
( sum(sum(pred(esk19_0),succ(n7)),sum(pred(n7),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,4361,theory(equality)]) ).
cnf(4364,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n3) = esk22_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4362,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(4365,plain,
( sum(sum(pred(esk19_0),n8),sum(n6,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4363,217,theory(equality)]),206,theory(equality)]) ).
cnf(4370,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4349,4355,theory(equality)]) ).
cnf(4371,plain,
( n7 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4370,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(4374,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4364,4371,theory(equality)]) ).
cnf(4377,plain,
( n6 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4374,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(4382,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4365,4371,theory(equality)]) ).
cnf(4383,plain,
( n6 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4382,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(4386,plain,
( esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n6 != esk22_0 ),
inference(spm,[status(thm)],[59,4383,theory(equality)]) ).
cnf(4387,plain,
( esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[4386,4377]) ).
cnf(4388,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n7 != esk20_0 ),
inference(spm,[status(thm)],[4387,4371,theory(equality)]) ).
cnf(4389,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[4388,4361]) ).
cnf(4390,plain,
( esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n10 != esk18_0 ),
inference(spm,[status(thm)],[4389,4355,theory(equality)]) ).
cnf(4391,plain,
( esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[4390,4345]) ).
cnf(4392,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n8 != esk16_0 ),
inference(spm,[status(thm)],[4391,4339,theory(equality)]) ).
cnf(4393,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[4392,4329]) ).
cnf(4394,plain,
( esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n2 != esk14_0 ),
inference(spm,[status(thm)],[4393,4323,theory(equality)]) ).
cnf(4395,plain,
( esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[4394,4313]) ).
cnf(4396,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n6 != esk12_0 ),
inference(spm,[status(thm)],[4395,4307,theory(equality)]) ).
cnf(4397,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[4396,4297]) ).
cnf(4398,plain,
( esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n7 != esk10_0 ),
inference(spm,[status(thm)],[4397,4291,theory(equality)]) ).
cnf(4399,plain,
( esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[4398,4281]) ).
cnf(4400,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n10 != esk8_0 ),
inference(spm,[status(thm)],[4399,4275,theory(equality)]) ).
cnf(4401,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[4400,4267]) ).
cnf(4402,plain,
( esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n8 != esk6_0 ),
inference(spm,[status(thm)],[4401,4259,theory(equality)]) ).
cnf(4403,plain,
( esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[4402,4251]) ).
cnf(4404,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| n2 != esk4_0 ),
inference(spm,[status(thm)],[4403,4219,theory(equality)]) ).
cnf(4405,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(csr,[status(thm)],[4404,4218]) ).
cnf(4408,plain,
( sum(n9,sum(pred(n1),succ(n1))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[2443,4405,theory(equality)]) ).
cnf(4409,plain,
( sum(sum(n9,succ(n1)),sum(pred(n1),n0)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[2444,4405,theory(equality)]) ).
cnf(4412,plain,
( n0 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4408,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),101,theory(equality)]) ).
cnf(4413,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4409,223,theory(equality)]),101,theory(equality)]),212,theory(equality)]),202,theory(equality)]),202,theory(equality)]) ).
cnf(4414,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n0),succ(n0))) = esk6_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,4412,theory(equality)]) ).
cnf(4415,plain,
( sum(sum(pred(esk3_0),succ(n0)),sum(pred(n0),succ(esk3_0))) = esk5_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,4412,theory(equality)]) ).
cnf(4416,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n0) = esk6_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4414,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(4417,plain,
( sum(sum(pred(esk3_0),n1),sum(n10,succ(esk3_0))) = esk5_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4415,224,theory(equality)]),213,theory(equality)]) ).
cnf(4433,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4416,4413,theory(equality)]) ).
cnf(4434,plain,
( n0 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4433,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4446,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n0),succ(n0))) = esk8_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,4434,theory(equality)]) ).
cnf(4447,plain,
( sum(sum(pred(esk5_0),succ(n0)),sum(pred(n0),succ(esk5_0))) = esk7_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,4434,theory(equality)]) ).
cnf(4448,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n0) = esk8_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4446,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(4449,plain,
( sum(sum(pred(esk5_0),n1),sum(n10,succ(esk5_0))) = esk7_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4447,224,theory(equality)]),213,theory(equality)]) ).
cnf(4452,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4417,4413,theory(equality)]) ).
cnf(4453,plain,
( n0 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4452,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4456,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4448,4453,theory(equality)]) ).
cnf(4459,plain,
( n0 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4456,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4460,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n0),succ(n0))) = esk10_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,4459,theory(equality)]) ).
cnf(4461,plain,
( sum(sum(pred(esk7_0),succ(n0)),sum(pred(n0),succ(esk7_0))) = esk9_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,4459,theory(equality)]) ).
cnf(4462,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n0) = esk10_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4460,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(4463,plain,
( sum(sum(pred(esk7_0),n1),sum(n10,succ(esk7_0))) = esk9_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4461,224,theory(equality)]),213,theory(equality)]) ).
cnf(4468,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4449,4453,theory(equality)]) ).
cnf(4469,plain,
( n0 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4468,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4472,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4462,4469,theory(equality)]) ).
cnf(4475,plain,
( n0 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4472,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4476,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n0),succ(n0))) = esk12_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,4475,theory(equality)]) ).
cnf(4477,plain,
( sum(sum(pred(esk9_0),succ(n0)),sum(pred(n0),succ(esk9_0))) = esk11_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,4475,theory(equality)]) ).
cnf(4478,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n0) = esk12_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4476,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(4479,plain,
( sum(sum(pred(esk9_0),n1),sum(n10,succ(esk9_0))) = esk11_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4477,224,theory(equality)]),213,theory(equality)]) ).
cnf(4484,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4463,4469,theory(equality)]) ).
cnf(4485,plain,
( n0 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4484,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4488,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4478,4485,theory(equality)]) ).
cnf(4491,plain,
( n0 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4488,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4492,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n0),succ(n0))) = esk14_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,4491,theory(equality)]) ).
cnf(4493,plain,
( sum(sum(pred(esk11_0),succ(n0)),sum(pred(n0),succ(esk11_0))) = esk13_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,4491,theory(equality)]) ).
cnf(4494,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n0) = esk14_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4492,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(4495,plain,
( sum(sum(pred(esk11_0),n1),sum(n10,succ(esk11_0))) = esk13_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4493,224,theory(equality)]),213,theory(equality)]) ).
cnf(4500,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4479,4485,theory(equality)]) ).
cnf(4501,plain,
( n0 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4500,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4504,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4494,4501,theory(equality)]) ).
cnf(4507,plain,
( n0 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4504,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4508,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n0),succ(n0))) = esk16_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,4507,theory(equality)]) ).
cnf(4509,plain,
( sum(sum(pred(esk13_0),succ(n0)),sum(pred(n0),succ(esk13_0))) = esk15_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,4507,theory(equality)]) ).
cnf(4510,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n0) = esk16_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4508,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(4511,plain,
( sum(sum(pred(esk13_0),n1),sum(n10,succ(esk13_0))) = esk15_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4509,224,theory(equality)]),213,theory(equality)]) ).
cnf(4516,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4495,4501,theory(equality)]) ).
cnf(4517,plain,
( n0 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4516,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4520,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4510,4517,theory(equality)]) ).
cnf(4523,plain,
( n0 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4520,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4524,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n0),succ(n0))) = esk18_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,4523,theory(equality)]) ).
cnf(4525,plain,
( sum(sum(pred(esk15_0),succ(n0)),sum(pred(n0),succ(esk15_0))) = esk17_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,4523,theory(equality)]) ).
cnf(4526,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n0) = esk18_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4524,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(4527,plain,
( sum(sum(pred(esk15_0),n1),sum(n10,succ(esk15_0))) = esk17_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4525,224,theory(equality)]),213,theory(equality)]) ).
cnf(4532,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4511,4517,theory(equality)]) ).
cnf(4533,plain,
( n0 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4532,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4536,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4526,4533,theory(equality)]) ).
cnf(4539,plain,
( n0 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4536,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4540,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n0),succ(n0))) = esk20_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,4539,theory(equality)]) ).
cnf(4541,plain,
( sum(sum(pred(esk17_0),succ(n0)),sum(pred(n0),succ(esk17_0))) = esk19_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,4539,theory(equality)]) ).
cnf(4542,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n0) = esk20_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4540,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(4543,plain,
( sum(sum(pred(esk17_0),n1),sum(n10,succ(esk17_0))) = esk19_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4541,224,theory(equality)]),213,theory(equality)]) ).
cnf(4548,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4527,4533,theory(equality)]) ).
cnf(4549,plain,
( n0 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4548,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4552,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4542,4549,theory(equality)]) ).
cnf(4555,plain,
( n0 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4552,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4556,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n0),succ(n0))) = esk22_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,4555,theory(equality)]) ).
cnf(4557,plain,
( sum(sum(pred(esk19_0),succ(n0)),sum(pred(n0),succ(esk19_0))) = esk21_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,4555,theory(equality)]) ).
cnf(4558,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n0) = esk22_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4556,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(4559,plain,
( sum(sum(pred(esk19_0),n1),sum(n10,succ(esk19_0))) = esk21_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4557,224,theory(equality)]),213,theory(equality)]) ).
cnf(4564,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4543,4549,theory(equality)]) ).
cnf(4565,plain,
( n0 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4564,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4570,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4558,4565,theory(equality)]) ).
cnf(4573,plain,
( n0 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4570,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4576,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[4559,4565,theory(equality)]) ).
cnf(4577,plain,
( n0 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4576,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(4578,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n0 != esk22_0 ),
inference(spm,[status(thm)],[59,4577,theory(equality)]) ).
cnf(4581,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[4578,4573]) ).
cnf(4582,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n0 != esk20_0 ),
inference(spm,[status(thm)],[4581,4565,theory(equality)]) ).
cnf(4583,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[4582,4555]) ).
cnf(4584,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n0 != esk18_0 ),
inference(spm,[status(thm)],[4583,4549,theory(equality)]) ).
cnf(4585,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[4584,4539]) ).
cnf(4586,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n0 != esk16_0 ),
inference(spm,[status(thm)],[4585,4533,theory(equality)]) ).
cnf(4587,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[4586,4523]) ).
cnf(4588,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n0 != esk14_0 ),
inference(spm,[status(thm)],[4587,4517,theory(equality)]) ).
cnf(4589,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[4588,4507]) ).
cnf(4590,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n0 != esk12_0 ),
inference(spm,[status(thm)],[4589,4501,theory(equality)]) ).
cnf(4591,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[4590,4491]) ).
cnf(4592,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n0 != esk10_0 ),
inference(spm,[status(thm)],[4591,4485,theory(equality)]) ).
cnf(4593,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[4592,4475]) ).
cnf(4594,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n0 != esk8_0 ),
inference(spm,[status(thm)],[4593,4469,theory(equality)]) ).
cnf(4595,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[4594,4459]) ).
cnf(4596,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n0 != esk6_0 ),
inference(spm,[status(thm)],[4595,4453,theory(equality)]) ).
cnf(4597,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[4596,4434]) ).
cnf(4598,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| n0 != esk4_0 ),
inference(spm,[status(thm)],[4597,4413,theory(equality)]) ).
cnf(4599,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(csr,[status(thm)],[4598,4412]) ).
cnf(4608,plain,
( sum(sum(pred(n9),succ(n9)),sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[78,4599,theory(equality)]) ).
cnf(4609,plain,
( sum(sum(pred(n9),succ(esk2_0)),sum(pred(esk2_0),succ(n9))) = esk3_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[79,4599,theory(equality)]) ).
cnf(4610,plain,
( sum(sum(pred(n9),succ(n9)),n0) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[248,4599,theory(equality)]) ).
cnf(4611,plain,
( sum(sum(pred(n9),n1),sum(n10,succ(n9))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[252,4599,theory(equality)]) ).
cnf(4612,plain,
( sum(n7,sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4608,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(4613,plain,
( sum(sum(n8,succ(esk2_0)),sum(pred(esk2_0),n10)) = esk3_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4609,204,theory(equality)]),215,theory(equality)]) ).
cnf(4614,plain,
( n7 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4610,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),125,theory(equality)]) ).
cnf(4615,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4611,204,theory(equality)]),113,theory(equality)]),215,theory(equality)]),82,theory(equality)]),94,theory(equality)]) ).
cnf(4620,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n7),succ(n7))) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,4614,theory(equality)]) ).
cnf(4621,plain,
( sum(sum(pred(esk3_0),succ(n7)),sum(pred(n7),succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,4614,theory(equality)]) ).
cnf(4622,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n3) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4620,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(4623,plain,
( sum(sum(pred(esk3_0),n8),sum(n6,succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4621,217,theory(equality)]),206,theory(equality)]) ).
cnf(4628,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4622,4615,theory(equality)]) ).
cnf(4629,plain,
( n6 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4628,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(4630,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n6),succ(n6))) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,4629,theory(equality)]) ).
cnf(4631,plain,
( sum(sum(pred(esk5_0),succ(n6)),sum(pred(n6),succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,4629,theory(equality)]) ).
cnf(4632,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n1) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4630,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(4633,plain,
( sum(sum(pred(esk5_0),n7),sum(n5,succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4631,218,theory(equality)]),207,theory(equality)]) ).
cnf(4634,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4623,4615,theory(equality)]) ).
cnf(4635,plain,
( n6 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4634,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(4642,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4632,4635,theory(equality)]) ).
cnf(4643,plain,
( n2 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4642,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(4644,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n2),succ(n2))) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,4643,theory(equality)]) ).
cnf(4645,plain,
( sum(sum(pred(esk7_0),succ(n2)),sum(pred(n2),succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,4643,theory(equality)]) ).
cnf(4646,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n4) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4644,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(4647,plain,
( sum(sum(pred(esk7_0),n3),sum(n1,succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4645,222,theory(equality)]),211,theory(equality)]) ).
cnf(4652,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4633,4635,theory(equality)]) ).
cnf(4653,plain,
( n2 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4652,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(4656,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4646,4653,theory(equality)]) ).
cnf(4659,plain,
( n8 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4656,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(4660,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n8),succ(n8))) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,4659,theory(equality)]) ).
cnf(4661,plain,
( sum(sum(pred(esk9_0),succ(n8)),sum(pred(n8),succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,4659,theory(equality)]) ).
cnf(4662,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n5) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4660,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(4663,plain,
( sum(sum(pred(esk9_0),n9),sum(n7,succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4661,216,theory(equality)]),205,theory(equality)]) ).
cnf(4668,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4647,4653,theory(equality)]) ).
cnf(4669,plain,
( n8 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4668,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(4672,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4662,4669,theory(equality)]) ).
cnf(4675,plain,
( n10 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4672,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(4676,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n10),succ(n10))) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,4675,theory(equality)]) ).
cnf(4677,plain,
( sum(sum(pred(esk11_0),succ(n10)),sum(pred(n10),succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,4675,theory(equality)]) ).
cnf(4678,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n9) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4676,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(4679,plain,
( sum(sum(pred(esk11_0),n0),sum(n9,succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4677,214,theory(equality)]),203,theory(equality)]) ).
cnf(4684,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4663,4669,theory(equality)]) ).
cnf(4685,plain,
( n10 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4684,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(4688,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4678,4685,theory(equality)]) ).
cnf(4691,plain,
( n7 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4688,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(4692,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n7),succ(n7))) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,4691,theory(equality)]) ).
cnf(4693,plain,
( sum(sum(pred(esk13_0),succ(n7)),sum(pred(n7),succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,4691,theory(equality)]) ).
cnf(4694,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n3) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4692,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(4695,plain,
( sum(sum(pred(esk13_0),n8),sum(n6,succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4693,217,theory(equality)]),206,theory(equality)]) ).
cnf(4700,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4679,4685,theory(equality)]) ).
cnf(4701,plain,
( n7 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4700,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(4706,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4694,4701,theory(equality)]) ).
cnf(4709,plain,
( n6 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4706,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(4710,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n6),succ(n6))) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,4709,theory(equality)]) ).
cnf(4711,plain,
( sum(sum(pred(esk15_0),succ(n6)),sum(pred(n6),succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,4709,theory(equality)]) ).
cnf(4712,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n1) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4710,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(4713,plain,
( sum(sum(pred(esk15_0),n7),sum(n5,succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4711,218,theory(equality)]),207,theory(equality)]) ).
cnf(4716,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4695,4701,theory(equality)]) ).
cnf(4717,plain,
( n6 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4716,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(4720,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4712,4717,theory(equality)]) ).
cnf(4723,plain,
( n2 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4720,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(4726,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n2),succ(n2))) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,4723,theory(equality)]) ).
cnf(4727,plain,
( sum(sum(pred(esk17_0),succ(n2)),sum(pred(n2),succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,4723,theory(equality)]) ).
cnf(4728,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n4) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4726,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(4729,plain,
( sum(sum(pred(esk17_0),n3),sum(n1,succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4727,222,theory(equality)]),211,theory(equality)]) ).
cnf(4732,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4713,4717,theory(equality)]) ).
cnf(4733,plain,
( n2 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4732,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(4736,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4728,4733,theory(equality)]) ).
cnf(4739,plain,
( n8 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4736,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(4740,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n8),succ(n8))) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,4739,theory(equality)]) ).
cnf(4741,plain,
( sum(sum(pred(esk19_0),succ(n8)),sum(pred(n8),succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,4739,theory(equality)]) ).
cnf(4742,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n5) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4740,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(4743,plain,
( sum(sum(pred(esk19_0),n9),sum(n7,succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4741,216,theory(equality)]),205,theory(equality)]) ).
cnf(4748,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4729,4733,theory(equality)]) ).
cnf(4749,plain,
( n8 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4748,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(4752,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4742,4749,theory(equality)]) ).
cnf(4755,plain,
( n10 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4752,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(4760,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[4743,4749,theory(equality)]) ).
cnf(4761,plain,
( n10 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4760,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(4762,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n10 != esk22_0 ),
inference(spm,[status(thm)],[59,4761,theory(equality)]) ).
cnf(4763,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[4762,4755]) ).
cnf(4764,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n8 != esk20_0 ),
inference(spm,[status(thm)],[4763,4749,theory(equality)]) ).
cnf(4765,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[4764,4739]) ).
cnf(4766,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n2 != esk18_0 ),
inference(spm,[status(thm)],[4765,4733,theory(equality)]) ).
cnf(4767,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[4766,4723]) ).
cnf(4768,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n6 != esk16_0 ),
inference(spm,[status(thm)],[4767,4717,theory(equality)]) ).
cnf(4771,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[4768,4709]) ).
cnf(4772,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n7 != esk14_0 ),
inference(spm,[status(thm)],[4771,4701,theory(equality)]) ).
cnf(4773,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[4772,4691]) ).
cnf(4774,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n10 != esk12_0 ),
inference(spm,[status(thm)],[4773,4685,theory(equality)]) ).
cnf(4775,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[4774,4675]) ).
cnf(4776,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n8 != esk10_0 ),
inference(spm,[status(thm)],[4775,4669,theory(equality)]) ).
cnf(4777,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[4776,4659]) ).
cnf(4778,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n2 != esk8_0 ),
inference(spm,[status(thm)],[4777,4653,theory(equality)]) ).
cnf(4779,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[4778,4643]) ).
cnf(4780,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n6 != esk6_0 ),
inference(spm,[status(thm)],[4779,4635,theory(equality)]) ).
cnf(4781,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[4780,4629]) ).
cnf(4782,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n7 != esk4_0 ),
inference(spm,[status(thm)],[4781,4615,theory(equality)]) ).
cnf(4783,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(csr,[status(thm)],[4782,4614]) ).
cnf(4795,plain,
( sum(n7,sum(pred(n10),succ(n10))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4612,4783,theory(equality)]) ).
cnf(4796,plain,
( sum(sum(n8,succ(n10)),sum(pred(n10),n10)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4613,4783,theory(equality)]) ).
cnf(4799,plain,
( n5 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4795,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),116,theory(equality)]) ).
cnf(4800,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4796,214,theory(equality)]),114,theory(equality)]),203,theory(equality)]),93,theory(equality)]),106,theory(equality)]) ).
cnf(4801,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n5),succ(n5))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,4799,theory(equality)]) ).
cnf(4802,plain,
( sum(sum(pred(esk3_0),succ(n5)),sum(pred(n5),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,4799,theory(equality)]) ).
cnf(4803,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n10) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4801,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(4804,plain,
( sum(sum(pred(esk3_0),n6),sum(n4,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4802,219,theory(equality)]),208,theory(equality)]) ).
cnf(4819,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4803,4800,theory(equality)]) ).
cnf(4820,plain,
( n9 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4819,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(4821,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n9),succ(n9))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,4820,theory(equality)]) ).
cnf(4822,plain,
( sum(sum(pred(esk5_0),succ(n9)),sum(pred(n9),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,4820,theory(equality)]) ).
cnf(4823,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n7) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4821,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(4824,plain,
( sum(sum(pred(esk5_0),n10),sum(n8,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4822,215,theory(equality)]),204,theory(equality)]) ).
cnf(4837,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4804,4800,theory(equality)]) ).
cnf(4838,plain,
( n9 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4837,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(4841,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4823,4838,theory(equality)]) ).
cnf(4844,plain,
( n3 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4841,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(4845,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n3),succ(n3))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,4844,theory(equality)]) ).
cnf(4846,plain,
( sum(sum(pred(esk7_0),succ(n3)),sum(pred(n3),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,4844,theory(equality)]) ).
cnf(4847,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n6) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4845,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(4848,plain,
( sum(sum(pred(esk7_0),n4),sum(n2,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4846,221,theory(equality)]),210,theory(equality)]) ).
cnf(4853,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4824,4838,theory(equality)]) ).
cnf(4854,plain,
( n3 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4853,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(4857,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4847,4854,theory(equality)]) ).
cnf(4860,plain,
( n1 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4857,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(4861,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n1),succ(n1))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,4860,theory(equality)]) ).
cnf(4862,plain,
( sum(sum(pred(esk9_0),succ(n1)),sum(pred(n1),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,4860,theory(equality)]) ).
cnf(4863,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n2) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4861,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(4864,plain,
( sum(sum(pred(esk9_0),n2),sum(n0,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4862,223,theory(equality)]),212,theory(equality)]) ).
cnf(4869,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4848,4854,theory(equality)]) ).
cnf(4870,plain,
( n1 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4869,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(4875,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4863,4870,theory(equality)]) ).
cnf(4878,plain,
( n4 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4875,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(4879,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n4),succ(n4))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,4878,theory(equality)]) ).
cnf(4880,plain,
( sum(sum(pred(esk11_0),succ(n4)),sum(pred(n4),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,4878,theory(equality)]) ).
cnf(4881,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n8) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4879,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(4882,plain,
( sum(sum(pred(esk11_0),n5),sum(n3,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4880,220,theory(equality)]),209,theory(equality)]) ).
cnf(4885,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4864,4870,theory(equality)]) ).
cnf(4886,plain,
( n4 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4885,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(4889,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4881,4886,theory(equality)]) ).
cnf(4892,plain,
( n5 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4889,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(4895,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n5),succ(n5))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,4892,theory(equality)]) ).
cnf(4896,plain,
( sum(sum(pred(esk13_0),succ(n5)),sum(pred(n5),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,4892,theory(equality)]) ).
cnf(4897,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n10) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4895,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(4898,plain,
( sum(sum(pred(esk13_0),n6),sum(n4,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4896,219,theory(equality)]),208,theory(equality)]) ).
cnf(4901,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4882,4886,theory(equality)]) ).
cnf(4902,plain,
( n5 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4901,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(4905,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4897,4902,theory(equality)]) ).
cnf(4908,plain,
( n9 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4905,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(4909,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n9),succ(n9))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,4908,theory(equality)]) ).
cnf(4910,plain,
( sum(sum(pred(esk15_0),succ(n9)),sum(pred(n9),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,4908,theory(equality)]) ).
cnf(4911,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n7) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4909,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(4912,plain,
( sum(sum(pred(esk15_0),n10),sum(n8,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4910,215,theory(equality)]),204,theory(equality)]) ).
cnf(4917,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4898,4902,theory(equality)]) ).
cnf(4918,plain,
( n9 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4917,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(4921,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4911,4918,theory(equality)]) ).
cnf(4924,plain,
( n3 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4921,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(4925,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n3),succ(n3))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,4924,theory(equality)]) ).
cnf(4926,plain,
( sum(sum(pred(esk17_0),succ(n3)),sum(pred(n3),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,4924,theory(equality)]) ).
cnf(4927,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n6) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4925,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(4928,plain,
( sum(sum(pred(esk17_0),n4),sum(n2,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4926,221,theory(equality)]),210,theory(equality)]) ).
cnf(4933,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4912,4918,theory(equality)]) ).
cnf(4934,plain,
( n3 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4933,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(4937,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4927,4934,theory(equality)]) ).
cnf(4940,plain,
( n1 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4937,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(4941,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n1),succ(n1))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,4940,theory(equality)]) ).
cnf(4942,plain,
( sum(sum(pred(esk19_0),succ(n1)),sum(pred(n1),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,4940,theory(equality)]) ).
cnf(4943,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n2) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4941,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(4944,plain,
( sum(sum(pred(esk19_0),n2),sum(n0,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4942,223,theory(equality)]),212,theory(equality)]) ).
cnf(4949,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4928,4934,theory(equality)]) ).
cnf(4950,plain,
( n1 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4949,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(4953,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4943,4950,theory(equality)]) ).
cnf(4956,plain,
( n4 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4953,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(4961,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4944,4950,theory(equality)]) ).
cnf(4962,plain,
( n4 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4961,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(4963,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n4 != esk22_0 ),
inference(spm,[status(thm)],[59,4962,theory(equality)]) ).
cnf(4966,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[4963,4956]) ).
cnf(4967,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n1 != esk20_0 ),
inference(spm,[status(thm)],[4966,4950,theory(equality)]) ).
cnf(4968,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[4967,4940]) ).
cnf(4969,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n3 != esk18_0 ),
inference(spm,[status(thm)],[4968,4934,theory(equality)]) ).
cnf(4970,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[4969,4924]) ).
cnf(4971,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n9 != esk16_0 ),
inference(spm,[status(thm)],[4970,4918,theory(equality)]) ).
cnf(4972,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[4971,4908]) ).
cnf(4973,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n5 != esk14_0 ),
inference(spm,[status(thm)],[4972,4902,theory(equality)]) ).
cnf(4974,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[4973,4892]) ).
cnf(4975,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n4 != esk12_0 ),
inference(spm,[status(thm)],[4974,4886,theory(equality)]) ).
cnf(4976,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[4975,4878]) ).
cnf(4977,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n1 != esk10_0 ),
inference(spm,[status(thm)],[4976,4870,theory(equality)]) ).
cnf(4978,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[4977,4860]) ).
cnf(4979,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n3 != esk8_0 ),
inference(spm,[status(thm)],[4978,4854,theory(equality)]) ).
cnf(4980,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[4979,4844]) ).
cnf(4981,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n9 != esk6_0 ),
inference(spm,[status(thm)],[4980,4838,theory(equality)]) ).
cnf(4982,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[4981,4820]) ).
cnf(4983,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n5 != esk4_0 ),
inference(spm,[status(thm)],[4982,4800,theory(equality)]) ).
cnf(4984,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[4983,4799]) ).
cnf(4995,plain,
( sum(n7,sum(pred(n9),succ(n9))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[4612,4984,theory(equality)]) ).
cnf(4996,plain,
( sum(sum(n8,succ(n9)),sum(pred(n9),n10)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[4613,4984,theory(equality)]) ).
cnf(4999,plain,
( n3 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4995,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(5000,plain,
( n3 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4996,215,theory(equality)]),104,theory(equality)]),204,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(5001,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n3),succ(n3))) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,4999,theory(equality)]) ).
cnf(5002,plain,
( sum(sum(pred(esk3_0),succ(n3)),sum(pred(n3),succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,4999,theory(equality)]) ).
cnf(5003,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n6) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5001,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(5004,plain,
( sum(sum(pred(esk3_0),n4),sum(n2,succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5002,221,theory(equality)]),210,theory(equality)]) ).
cnf(5029,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5003,5000,theory(equality)]) ).
cnf(5030,plain,
( n1 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5029,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(5031,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n1),succ(n1))) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,5030,theory(equality)]) ).
cnf(5032,plain,
( sum(sum(pred(esk5_0),succ(n1)),sum(pred(n1),succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,5030,theory(equality)]) ).
cnf(5033,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n2) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5031,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(5034,plain,
( sum(sum(pred(esk5_0),n2),sum(n0,succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5032,223,theory(equality)]),212,theory(equality)]) ).
cnf(5037,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5004,5000,theory(equality)]) ).
cnf(5038,plain,
( n1 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5037,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(5041,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5033,5038,theory(equality)]) ).
cnf(5044,plain,
( n4 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5041,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(5047,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n4),succ(n4))) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,5044,theory(equality)]) ).
cnf(5048,plain,
( sum(sum(pred(esk7_0),succ(n4)),sum(pred(n4),succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,5044,theory(equality)]) ).
cnf(5049,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n8) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5047,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(5050,plain,
( sum(sum(pred(esk7_0),n5),sum(n3,succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5048,220,theory(equality)]),209,theory(equality)]) ).
cnf(5053,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5034,5038,theory(equality)]) ).
cnf(5054,plain,
( n4 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5053,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(5057,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5049,5054,theory(equality)]) ).
cnf(5060,plain,
( n5 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5057,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(5061,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n5),succ(n5))) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,5060,theory(equality)]) ).
cnf(5062,plain,
( sum(sum(pred(esk9_0),succ(n5)),sum(pred(n5),succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,5060,theory(equality)]) ).
cnf(5063,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n10) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5061,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(5064,plain,
( sum(sum(pred(esk9_0),n6),sum(n4,succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5062,219,theory(equality)]),208,theory(equality)]) ).
cnf(5069,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5050,5054,theory(equality)]) ).
cnf(5070,plain,
( n5 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5069,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(5073,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5063,5070,theory(equality)]) ).
cnf(5076,plain,
( n9 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5073,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(5077,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n9),succ(n9))) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,5076,theory(equality)]) ).
cnf(5078,plain,
( sum(sum(pred(esk11_0),succ(n9)),sum(pred(n9),succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,5076,theory(equality)]) ).
cnf(5079,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n7) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5077,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(5080,plain,
( sum(sum(pred(esk11_0),n10),sum(n8,succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5078,215,theory(equality)]),204,theory(equality)]) ).
cnf(5085,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5064,5070,theory(equality)]) ).
cnf(5086,plain,
( n9 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5085,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(5089,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5079,5086,theory(equality)]) ).
cnf(5092,plain,
( n3 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5089,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(5093,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n3),succ(n3))) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,5092,theory(equality)]) ).
cnf(5094,plain,
( sum(sum(pred(esk13_0),succ(n3)),sum(pred(n3),succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,5092,theory(equality)]) ).
cnf(5095,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n6) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5093,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(5096,plain,
( sum(sum(pred(esk13_0),n4),sum(n2,succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5094,221,theory(equality)]),210,theory(equality)]) ).
cnf(5101,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5080,5086,theory(equality)]) ).
cnf(5102,plain,
( n3 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5101,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(5105,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5095,5102,theory(equality)]) ).
cnf(5108,plain,
( n1 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5105,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(5109,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n1),succ(n1))) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,5108,theory(equality)]) ).
cnf(5110,plain,
( sum(sum(pred(esk15_0),succ(n1)),sum(pred(n1),succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,5108,theory(equality)]) ).
cnf(5111,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n2) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5109,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(5112,plain,
( sum(sum(pred(esk15_0),n2),sum(n0,succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5110,223,theory(equality)]),212,theory(equality)]) ).
cnf(5117,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5096,5102,theory(equality)]) ).
cnf(5118,plain,
( n1 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5117,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(5121,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5111,5118,theory(equality)]) ).
cnf(5124,plain,
( n4 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5121,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(5125,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n4),succ(n4))) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,5124,theory(equality)]) ).
cnf(5126,plain,
( sum(sum(pred(esk17_0),succ(n4)),sum(pred(n4),succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,5124,theory(equality)]) ).
cnf(5127,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n8) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5125,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(5128,plain,
( sum(sum(pred(esk17_0),n5),sum(n3,succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5126,220,theory(equality)]),209,theory(equality)]) ).
cnf(5133,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5112,5118,theory(equality)]) ).
cnf(5134,plain,
( n4 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5133,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(5137,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5127,5134,theory(equality)]) ).
cnf(5140,plain,
( n5 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5137,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(5141,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n5),succ(n5))) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,5140,theory(equality)]) ).
cnf(5142,plain,
( sum(sum(pred(esk19_0),succ(n5)),sum(pred(n5),succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,5140,theory(equality)]) ).
cnf(5143,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n10) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5141,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(5144,plain,
( sum(sum(pred(esk19_0),n6),sum(n4,succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5142,219,theory(equality)]),208,theory(equality)]) ).
cnf(5149,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5128,5134,theory(equality)]) ).
cnf(5150,plain,
( n5 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5149,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(5153,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5143,5150,theory(equality)]) ).
cnf(5156,plain,
( n9 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5153,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(5161,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[5144,5150,theory(equality)]) ).
cnf(5162,plain,
( n9 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5161,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(5163,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n9 != esk22_0 ),
inference(spm,[status(thm)],[59,5162,theory(equality)]) ).
cnf(5166,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[5163,5156]) ).
cnf(5167,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n5 != esk20_0 ),
inference(spm,[status(thm)],[5166,5150,theory(equality)]) ).
cnf(5168,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[5167,5140]) ).
cnf(5169,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n4 != esk18_0 ),
inference(spm,[status(thm)],[5168,5134,theory(equality)]) ).
cnf(5170,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[5169,5124]) ).
cnf(5171,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n1 != esk16_0 ),
inference(spm,[status(thm)],[5170,5118,theory(equality)]) ).
cnf(5172,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[5171,5108]) ).
cnf(5173,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n3 != esk14_0 ),
inference(spm,[status(thm)],[5172,5102,theory(equality)]) ).
cnf(5174,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[5173,5092]) ).
cnf(5175,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n9 != esk12_0 ),
inference(spm,[status(thm)],[5174,5086,theory(equality)]) ).
cnf(5176,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[5175,5076]) ).
cnf(5177,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n5 != esk10_0 ),
inference(spm,[status(thm)],[5176,5070,theory(equality)]) ).
cnf(5178,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[5177,5060]) ).
cnf(5179,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n4 != esk8_0 ),
inference(spm,[status(thm)],[5178,5054,theory(equality)]) ).
cnf(5180,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[5179,5044]) ).
cnf(5181,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n1 != esk6_0 ),
inference(spm,[status(thm)],[5180,5038,theory(equality)]) ).
cnf(5182,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[5181,5030]) ).
cnf(5183,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n3 != esk4_0 ),
inference(spm,[status(thm)],[5182,5000,theory(equality)]) ).
cnf(5184,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(csr,[status(thm)],[5183,4999]) ).
cnf(5194,plain,
( sum(n7,sum(pred(n8),succ(n8))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4612,5184,theory(equality)]) ).
cnf(5195,plain,
( sum(sum(n8,succ(n8)),sum(pred(n8),n10)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4613,5184,theory(equality)]) ).
cnf(5198,plain,
( n1 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5194,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),120,theory(equality)]) ).
cnf(5199,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5195,216,theory(equality)]),105,theory(equality)]),205,theory(equality)]),115,theory(equality)]),130,theory(equality)]) ).
cnf(5200,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n1),succ(n1))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,5198,theory(equality)]) ).
cnf(5201,plain,
( sum(sum(pred(esk3_0),succ(n1)),sum(pred(n1),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,5198,theory(equality)]) ).
cnf(5202,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n2) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5200,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(5203,plain,
( sum(sum(pred(esk3_0),n2),sum(n0,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5201,223,theory(equality)]),212,theory(equality)]) ).
cnf(5218,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5202,5199,theory(equality)]) ).
cnf(5219,plain,
( n4 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5218,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(5220,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n4),succ(n4))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,5219,theory(equality)]) ).
cnf(5221,plain,
( sum(sum(pred(esk5_0),succ(n4)),sum(pred(n4),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,5219,theory(equality)]) ).
cnf(5222,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n8) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5220,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(5223,plain,
( sum(sum(pred(esk5_0),n5),sum(n3,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5221,220,theory(equality)]),209,theory(equality)]) ).
cnf(5236,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5203,5199,theory(equality)]) ).
cnf(5237,plain,
( n4 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5236,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(5240,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5222,5237,theory(equality)]) ).
cnf(5243,plain,
( n5 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5240,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(5244,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n5),succ(n5))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,5243,theory(equality)]) ).
cnf(5245,plain,
( sum(sum(pred(esk7_0),succ(n5)),sum(pred(n5),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,5243,theory(equality)]) ).
cnf(5246,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n10) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5244,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(5247,plain,
( sum(sum(pred(esk7_0),n6),sum(n4,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5245,219,theory(equality)]),208,theory(equality)]) ).
cnf(5252,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5223,5237,theory(equality)]) ).
cnf(5253,plain,
( n5 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5252,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(5256,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5246,5253,theory(equality)]) ).
cnf(5259,plain,
( n9 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5256,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(5260,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n9),succ(n9))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,5259,theory(equality)]) ).
cnf(5261,plain,
( sum(sum(pred(esk9_0),succ(n9)),sum(pred(n9),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,5259,theory(equality)]) ).
cnf(5262,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n7) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5260,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(5263,plain,
( sum(sum(pred(esk9_0),n10),sum(n8,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5261,215,theory(equality)]),204,theory(equality)]) ).
cnf(5268,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5247,5253,theory(equality)]) ).
cnf(5269,plain,
( n9 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5268,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(5272,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5262,5269,theory(equality)]) ).
cnf(5275,plain,
( n3 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5272,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(5276,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n3),succ(n3))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,5275,theory(equality)]) ).
cnf(5277,plain,
( sum(sum(pred(esk11_0),succ(n3)),sum(pred(n3),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,5275,theory(equality)]) ).
cnf(5278,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n6) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5276,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(5279,plain,
( sum(sum(pred(esk11_0),n4),sum(n2,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5277,221,theory(equality)]),210,theory(equality)]) ).
cnf(5284,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5263,5269,theory(equality)]) ).
cnf(5285,plain,
( n3 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5284,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(5288,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5278,5285,theory(equality)]) ).
cnf(5291,plain,
( n1 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5288,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(5292,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n1),succ(n1))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,5291,theory(equality)]) ).
cnf(5293,plain,
( sum(sum(pred(esk13_0),succ(n1)),sum(pred(n1),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,5291,theory(equality)]) ).
cnf(5294,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n2) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5292,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(5295,plain,
( sum(sum(pred(esk13_0),n2),sum(n0,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5293,223,theory(equality)]),212,theory(equality)]) ).
cnf(5300,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5279,5285,theory(equality)]) ).
cnf(5301,plain,
( n1 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5300,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(5306,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5294,5301,theory(equality)]) ).
cnf(5309,plain,
( n4 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5306,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(5310,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n4),succ(n4))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,5309,theory(equality)]) ).
cnf(5311,plain,
( sum(sum(pred(esk15_0),succ(n4)),sum(pred(n4),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,5309,theory(equality)]) ).
cnf(5312,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n8) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5310,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(5313,plain,
( sum(sum(pred(esk15_0),n5),sum(n3,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5311,220,theory(equality)]),209,theory(equality)]) ).
cnf(5316,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5295,5301,theory(equality)]) ).
cnf(5317,plain,
( n4 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5316,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(5320,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5312,5317,theory(equality)]) ).
cnf(5323,plain,
( n5 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5320,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(5326,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n5),succ(n5))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,5323,theory(equality)]) ).
cnf(5327,plain,
( sum(sum(pred(esk17_0),succ(n5)),sum(pred(n5),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,5323,theory(equality)]) ).
cnf(5328,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n10) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5326,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(5329,plain,
( sum(sum(pred(esk17_0),n6),sum(n4,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5327,219,theory(equality)]),208,theory(equality)]) ).
cnf(5332,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5313,5317,theory(equality)]) ).
cnf(5333,plain,
( n5 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5332,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(5336,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5328,5333,theory(equality)]) ).
cnf(5339,plain,
( n9 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5336,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(5340,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n9),succ(n9))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,5339,theory(equality)]) ).
cnf(5341,plain,
( sum(sum(pred(esk19_0),succ(n9)),sum(pred(n9),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,5339,theory(equality)]) ).
cnf(5342,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n7) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5340,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(5343,plain,
( sum(sum(pred(esk19_0),n10),sum(n8,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5341,215,theory(equality)]),204,theory(equality)]) ).
cnf(5348,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5329,5333,theory(equality)]) ).
cnf(5349,plain,
( n9 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5348,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(5352,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5342,5349,theory(equality)]) ).
cnf(5355,plain,
( n3 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5352,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(5360,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5343,5349,theory(equality)]) ).
cnf(5361,plain,
( n3 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5360,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(5362,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n3 != esk22_0 ),
inference(spm,[status(thm)],[59,5361,theory(equality)]) ).
cnf(5363,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[5362,5355]) ).
cnf(5364,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n9 != esk20_0 ),
inference(spm,[status(thm)],[5363,5349,theory(equality)]) ).
cnf(5365,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[5364,5339]) ).
cnf(5366,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n5 != esk18_0 ),
inference(spm,[status(thm)],[5365,5333,theory(equality)]) ).
cnf(5367,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[5366,5323]) ).
cnf(5368,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n4 != esk16_0 ),
inference(spm,[status(thm)],[5367,5317,theory(equality)]) ).
cnf(5371,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[5368,5309]) ).
cnf(5372,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n1 != esk14_0 ),
inference(spm,[status(thm)],[5371,5301,theory(equality)]) ).
cnf(5373,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[5372,5291]) ).
cnf(5374,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n3 != esk12_0 ),
inference(spm,[status(thm)],[5373,5285,theory(equality)]) ).
cnf(5375,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[5374,5275]) ).
cnf(5376,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n9 != esk10_0 ),
inference(spm,[status(thm)],[5375,5269,theory(equality)]) ).
cnf(5377,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[5376,5259]) ).
cnf(5378,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n5 != esk8_0 ),
inference(spm,[status(thm)],[5377,5253,theory(equality)]) ).
cnf(5379,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[5378,5243]) ).
cnf(5380,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n4 != esk6_0 ),
inference(spm,[status(thm)],[5379,5237,theory(equality)]) ).
cnf(5381,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[5380,5219]) ).
cnf(5382,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n1 != esk4_0 ),
inference(spm,[status(thm)],[5381,5199,theory(equality)]) ).
cnf(5383,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[5382,5198]) ).
cnf(5392,plain,
( sum(n7,sum(pred(n7),succ(n7))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[4612,5383,theory(equality)]) ).
cnf(5393,plain,
( sum(sum(n8,succ(n7)),sum(pred(n7),n10)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[4613,5383,theory(equality)]) ).
cnf(5396,plain,
( n10 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5392,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),122,theory(equality)]) ).
cnf(5397,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5393,217,theory(equality)]),106,theory(equality)]),206,theory(equality)]),126,theory(equality)]),142,theory(equality)]) ).
cnf(5398,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n10),succ(n10))) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,5396,theory(equality)]) ).
cnf(5399,plain,
( sum(sum(pred(esk3_0),succ(n10)),sum(pred(n10),succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,5396,theory(equality)]) ).
cnf(5400,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n9) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5398,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(5401,plain,
( sum(sum(pred(esk3_0),n0),sum(n9,succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5399,214,theory(equality)]),203,theory(equality)]) ).
cnf(5426,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5400,5397,theory(equality)]) ).
cnf(5427,plain,
( n7 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5426,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5428,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n7),succ(n7))) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,5427,theory(equality)]) ).
cnf(5429,plain,
( sum(sum(pred(esk5_0),succ(n7)),sum(pred(n7),succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,5427,theory(equality)]) ).
cnf(5430,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n3) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5428,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(5431,plain,
( sum(sum(pred(esk5_0),n8),sum(n6,succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5429,217,theory(equality)]),206,theory(equality)]) ).
cnf(5434,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5401,5397,theory(equality)]) ).
cnf(5435,plain,
( n7 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5434,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5438,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5430,5435,theory(equality)]) ).
cnf(5441,plain,
( n6 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5438,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(5444,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n6),succ(n6))) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,5441,theory(equality)]) ).
cnf(5445,plain,
( sum(sum(pred(esk7_0),succ(n6)),sum(pred(n6),succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,5441,theory(equality)]) ).
cnf(5446,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n1) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5444,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(5447,plain,
( sum(sum(pred(esk7_0),n7),sum(n5,succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5445,218,theory(equality)]),207,theory(equality)]) ).
cnf(5450,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5431,5435,theory(equality)]) ).
cnf(5451,plain,
( n6 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5450,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(5454,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5446,5451,theory(equality)]) ).
cnf(5457,plain,
( n2 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5454,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5458,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n2),succ(n2))) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,5457,theory(equality)]) ).
cnf(5459,plain,
( sum(sum(pred(esk9_0),succ(n2)),sum(pred(n2),succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,5457,theory(equality)]) ).
cnf(5460,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n4) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5458,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(5461,plain,
( sum(sum(pred(esk9_0),n3),sum(n1,succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5459,222,theory(equality)]),211,theory(equality)]) ).
cnf(5466,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5447,5451,theory(equality)]) ).
cnf(5467,plain,
( n2 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5466,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5470,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5460,5467,theory(equality)]) ).
cnf(5473,plain,
( n8 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5470,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(5474,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n8),succ(n8))) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,5473,theory(equality)]) ).
cnf(5475,plain,
( sum(sum(pred(esk11_0),succ(n8)),sum(pred(n8),succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,5473,theory(equality)]) ).
cnf(5476,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n5) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5474,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(5477,plain,
( sum(sum(pred(esk11_0),n9),sum(n7,succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5475,216,theory(equality)]),205,theory(equality)]) ).
cnf(5482,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5461,5467,theory(equality)]) ).
cnf(5483,plain,
( n8 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5482,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(5486,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5476,5483,theory(equality)]) ).
cnf(5489,plain,
( n10 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5486,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(5490,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n10),succ(n10))) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,5489,theory(equality)]) ).
cnf(5491,plain,
( sum(sum(pred(esk13_0),succ(n10)),sum(pred(n10),succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,5489,theory(equality)]) ).
cnf(5492,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n9) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5490,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(5493,plain,
( sum(sum(pred(esk13_0),n0),sum(n9,succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5491,214,theory(equality)]),203,theory(equality)]) ).
cnf(5498,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5477,5483,theory(equality)]) ).
cnf(5499,plain,
( n10 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5498,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(5502,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5492,5499,theory(equality)]) ).
cnf(5505,plain,
( n7 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5502,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5506,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n7),succ(n7))) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,5505,theory(equality)]) ).
cnf(5507,plain,
( sum(sum(pred(esk15_0),succ(n7)),sum(pred(n7),succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,5505,theory(equality)]) ).
cnf(5508,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n3) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5506,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(5509,plain,
( sum(sum(pred(esk15_0),n8),sum(n6,succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5507,217,theory(equality)]),206,theory(equality)]) ).
cnf(5514,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5493,5499,theory(equality)]) ).
cnf(5515,plain,
( n7 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5514,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5518,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5508,5515,theory(equality)]) ).
cnf(5521,plain,
( n6 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5518,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(5522,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n6),succ(n6))) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,5521,theory(equality)]) ).
cnf(5523,plain,
( sum(sum(pred(esk17_0),succ(n6)),sum(pred(n6),succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,5521,theory(equality)]) ).
cnf(5524,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n1) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5522,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(5525,plain,
( sum(sum(pred(esk17_0),n7),sum(n5,succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5523,218,theory(equality)]),207,theory(equality)]) ).
cnf(5530,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5509,5515,theory(equality)]) ).
cnf(5531,plain,
( n6 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5530,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(5534,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5524,5531,theory(equality)]) ).
cnf(5537,plain,
( n2 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5534,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5538,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n2),succ(n2))) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,5537,theory(equality)]) ).
cnf(5539,plain,
( sum(sum(pred(esk19_0),succ(n2)),sum(pred(n2),succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,5537,theory(equality)]) ).
cnf(5540,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n4) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5538,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(5541,plain,
( sum(sum(pred(esk19_0),n3),sum(n1,succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5539,222,theory(equality)]),211,theory(equality)]) ).
cnf(5546,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5525,5531,theory(equality)]) ).
cnf(5547,plain,
( n2 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5546,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5550,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5540,5547,theory(equality)]) ).
cnf(5553,plain,
( n8 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5550,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(5558,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[5541,5547,theory(equality)]) ).
cnf(5559,plain,
( n8 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5558,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(5560,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n8 != esk22_0 ),
inference(spm,[status(thm)],[59,5559,theory(equality)]) ).
cnf(5563,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[5560,5553]) ).
cnf(5564,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n2 != esk20_0 ),
inference(spm,[status(thm)],[5563,5547,theory(equality)]) ).
cnf(5565,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[5564,5537]) ).
cnf(5566,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n6 != esk18_0 ),
inference(spm,[status(thm)],[5565,5531,theory(equality)]) ).
cnf(5567,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[5566,5521]) ).
cnf(5568,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n7 != esk16_0 ),
inference(spm,[status(thm)],[5567,5515,theory(equality)]) ).
cnf(5569,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[5568,5505]) ).
cnf(5570,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n10 != esk14_0 ),
inference(spm,[status(thm)],[5569,5499,theory(equality)]) ).
cnf(5571,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[5570,5489]) ).
cnf(5572,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n8 != esk12_0 ),
inference(spm,[status(thm)],[5571,5483,theory(equality)]) ).
cnf(5573,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[5572,5473]) ).
cnf(5574,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n2 != esk10_0 ),
inference(spm,[status(thm)],[5573,5467,theory(equality)]) ).
cnf(5575,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[5574,5457]) ).
cnf(5576,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n6 != esk8_0 ),
inference(spm,[status(thm)],[5575,5451,theory(equality)]) ).
cnf(5577,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[5576,5441]) ).
cnf(5578,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n7 != esk6_0 ),
inference(spm,[status(thm)],[5577,5435,theory(equality)]) ).
cnf(5579,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[5578,5427]) ).
cnf(5580,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n10 != esk4_0 ),
inference(spm,[status(thm)],[5579,5397,theory(equality)]) ).
cnf(5581,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(csr,[status(thm)],[5580,5396]) ).
cnf(5589,plain,
( sum(n7,sum(pred(n6),succ(n6))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4612,5581,theory(equality)]) ).
cnf(5590,plain,
( sum(sum(n8,succ(n6)),sum(pred(n6),n10)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4613,5581,theory(equality)]) ).
cnf(5593,plain,
( n8 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5589,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),124,theory(equality)]) ).
cnf(5594,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5590,218,theory(equality)]),107,theory(equality)]),207,theory(equality)]),137,theory(equality)]),154,theory(equality)]) ).
cnf(5595,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n8),succ(n8))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,5593,theory(equality)]) ).
cnf(5596,plain,
( sum(sum(pred(esk3_0),succ(n8)),sum(pred(n8),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,5593,theory(equality)]) ).
cnf(5597,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n5) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5595,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(5598,plain,
( sum(sum(pred(esk3_0),n9),sum(n7,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5596,216,theory(equality)]),205,theory(equality)]) ).
cnf(5613,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5597,5594,theory(equality)]) ).
cnf(5614,plain,
( n10 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5613,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(5615,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n10),succ(n10))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,5614,theory(equality)]) ).
cnf(5616,plain,
( sum(sum(pred(esk5_0),succ(n10)),sum(pred(n10),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,5614,theory(equality)]) ).
cnf(5617,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n9) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5615,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(5618,plain,
( sum(sum(pred(esk5_0),n0),sum(n9,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5616,214,theory(equality)]),203,theory(equality)]) ).
cnf(5631,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5598,5594,theory(equality)]) ).
cnf(5632,plain,
( n10 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5631,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(5635,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5617,5632,theory(equality)]) ).
cnf(5638,plain,
( n7 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5635,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5639,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n7),succ(n7))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,5638,theory(equality)]) ).
cnf(5640,plain,
( sum(sum(pred(esk7_0),succ(n7)),sum(pred(n7),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,5638,theory(equality)]) ).
cnf(5641,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n3) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5639,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(5642,plain,
( sum(sum(pred(esk7_0),n8),sum(n6,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5640,217,theory(equality)]),206,theory(equality)]) ).
cnf(5647,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5618,5632,theory(equality)]) ).
cnf(5648,plain,
( n7 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5647,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5651,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5641,5648,theory(equality)]) ).
cnf(5654,plain,
( n6 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5651,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(5655,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n6),succ(n6))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,5654,theory(equality)]) ).
cnf(5656,plain,
( sum(sum(pred(esk9_0),succ(n6)),sum(pred(n6),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,5654,theory(equality)]) ).
cnf(5657,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n1) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5655,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(5658,plain,
( sum(sum(pred(esk9_0),n7),sum(n5,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5656,218,theory(equality)]),207,theory(equality)]) ).
cnf(5663,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5642,5648,theory(equality)]) ).
cnf(5664,plain,
( n6 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5663,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(5669,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5657,5664,theory(equality)]) ).
cnf(5672,plain,
( n2 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5669,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5673,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n2),succ(n2))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,5672,theory(equality)]) ).
cnf(5674,plain,
( sum(sum(pred(esk11_0),succ(n2)),sum(pred(n2),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,5672,theory(equality)]) ).
cnf(5675,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n4) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5673,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(5676,plain,
( sum(sum(pred(esk11_0),n3),sum(n1,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5674,222,theory(equality)]),211,theory(equality)]) ).
cnf(5679,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5658,5664,theory(equality)]) ).
cnf(5680,plain,
( n2 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5679,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5683,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5675,5680,theory(equality)]) ).
cnf(5686,plain,
( n8 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5683,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(5689,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n8),succ(n8))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,5686,theory(equality)]) ).
cnf(5690,plain,
( sum(sum(pred(esk13_0),succ(n8)),sum(pred(n8),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,5686,theory(equality)]) ).
cnf(5691,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n5) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5689,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(5692,plain,
( sum(sum(pred(esk13_0),n9),sum(n7,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5690,216,theory(equality)]),205,theory(equality)]) ).
cnf(5695,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5676,5680,theory(equality)]) ).
cnf(5696,plain,
( n8 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5695,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(5699,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5691,5696,theory(equality)]) ).
cnf(5702,plain,
( n10 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5699,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(5703,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n10),succ(n10))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,5702,theory(equality)]) ).
cnf(5704,plain,
( sum(sum(pred(esk15_0),succ(n10)),sum(pred(n10),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,5702,theory(equality)]) ).
cnf(5705,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n9) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5703,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(5706,plain,
( sum(sum(pred(esk15_0),n0),sum(n9,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5704,214,theory(equality)]),203,theory(equality)]) ).
cnf(5711,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5692,5696,theory(equality)]) ).
cnf(5712,plain,
( n10 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5711,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(5715,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5705,5712,theory(equality)]) ).
cnf(5718,plain,
( n7 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5715,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5719,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n7),succ(n7))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,5718,theory(equality)]) ).
cnf(5720,plain,
( sum(sum(pred(esk17_0),succ(n7)),sum(pred(n7),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,5718,theory(equality)]) ).
cnf(5721,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n3) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5719,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(5722,plain,
( sum(sum(pred(esk17_0),n8),sum(n6,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5720,217,theory(equality)]),206,theory(equality)]) ).
cnf(5727,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5706,5712,theory(equality)]) ).
cnf(5728,plain,
( n7 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5727,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5731,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5721,5728,theory(equality)]) ).
cnf(5734,plain,
( n6 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5731,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(5735,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n6),succ(n6))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,5734,theory(equality)]) ).
cnf(5736,plain,
( sum(sum(pred(esk19_0),succ(n6)),sum(pred(n6),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,5734,theory(equality)]) ).
cnf(5737,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n1) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5735,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(5738,plain,
( sum(sum(pred(esk19_0),n7),sum(n5,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5736,218,theory(equality)]),207,theory(equality)]) ).
cnf(5743,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5722,5728,theory(equality)]) ).
cnf(5744,plain,
( n6 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5743,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(5747,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5737,5744,theory(equality)]) ).
cnf(5750,plain,
( n2 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5747,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5755,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5738,5744,theory(equality)]) ).
cnf(5756,plain,
( n2 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5755,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5757,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n2 != esk22_0 ),
inference(spm,[status(thm)],[59,5756,theory(equality)]) ).
cnf(5760,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[5757,5750]) ).
cnf(5761,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n6 != esk20_0 ),
inference(spm,[status(thm)],[5760,5744,theory(equality)]) ).
cnf(5762,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[5761,5734]) ).
cnf(5763,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n7 != esk18_0 ),
inference(spm,[status(thm)],[5762,5728,theory(equality)]) ).
cnf(5764,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[5763,5718]) ).
cnf(5765,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n10 != esk16_0 ),
inference(spm,[status(thm)],[5764,5712,theory(equality)]) ).
cnf(5766,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[5765,5702]) ).
cnf(5767,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n8 != esk14_0 ),
inference(spm,[status(thm)],[5766,5696,theory(equality)]) ).
cnf(5768,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[5767,5686]) ).
cnf(5769,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n2 != esk12_0 ),
inference(spm,[status(thm)],[5768,5680,theory(equality)]) ).
cnf(5770,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[5769,5672]) ).
cnf(5771,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n6 != esk10_0 ),
inference(spm,[status(thm)],[5770,5664,theory(equality)]) ).
cnf(5772,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[5771,5654]) ).
cnf(5773,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n7 != esk8_0 ),
inference(spm,[status(thm)],[5772,5648,theory(equality)]) ).
cnf(5774,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[5773,5638]) ).
cnf(5775,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n10 != esk6_0 ),
inference(spm,[status(thm)],[5774,5632,theory(equality)]) ).
cnf(5776,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[5775,5614]) ).
cnf(5777,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n8 != esk4_0 ),
inference(spm,[status(thm)],[5776,5594,theory(equality)]) ).
cnf(5778,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[5777,5593]) ).
cnf(5785,plain,
( sum(n7,sum(pred(n5),succ(n5))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[4612,5778,theory(equality)]) ).
cnf(5786,plain,
( sum(sum(n8,succ(n5)),sum(pred(n5),n10)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[4613,5778,theory(equality)]) ).
cnf(5789,plain,
( n6 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5785,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),115,theory(equality)]) ).
cnf(5790,plain,
( n6 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5786,219,theory(equality)]),108,theory(equality)]),208,theory(equality)]),148,theory(equality)]),166,theory(equality)]) ).
cnf(5791,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n6),succ(n6))) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,5789,theory(equality)]) ).
cnf(5792,plain,
( sum(sum(pred(esk3_0),succ(n6)),sum(pred(n6),succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,5789,theory(equality)]) ).
cnf(5793,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n1) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5791,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(5794,plain,
( sum(sum(pred(esk3_0),n7),sum(n5,succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5792,218,theory(equality)]),207,theory(equality)]) ).
cnf(5809,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5793,5790,theory(equality)]) ).
cnf(5810,plain,
( n2 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5809,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5811,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n2),succ(n2))) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,5810,theory(equality)]) ).
cnf(5812,plain,
( sum(sum(pred(esk5_0),succ(n2)),sum(pred(n2),succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,5810,theory(equality)]) ).
cnf(5813,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n4) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5811,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(5814,plain,
( sum(sum(pred(esk5_0),n3),sum(n1,succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5812,222,theory(equality)]),211,theory(equality)]) ).
cnf(5827,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5794,5790,theory(equality)]) ).
cnf(5828,plain,
( n2 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5827,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5831,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5813,5828,theory(equality)]) ).
cnf(5834,plain,
( n8 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5831,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(5835,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n8),succ(n8))) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,5834,theory(equality)]) ).
cnf(5836,plain,
( sum(sum(pred(esk7_0),succ(n8)),sum(pred(n8),succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,5834,theory(equality)]) ).
cnf(5837,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n5) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5835,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(5838,plain,
( sum(sum(pred(esk7_0),n9),sum(n7,succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5836,216,theory(equality)]),205,theory(equality)]) ).
cnf(5843,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5814,5828,theory(equality)]) ).
cnf(5844,plain,
( n8 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5843,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(5847,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5837,5844,theory(equality)]) ).
cnf(5850,plain,
( n10 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5847,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(5851,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n10),succ(n10))) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,5850,theory(equality)]) ).
cnf(5852,plain,
( sum(sum(pred(esk9_0),succ(n10)),sum(pred(n10),succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,5850,theory(equality)]) ).
cnf(5853,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n9) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5851,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(5854,plain,
( sum(sum(pred(esk9_0),n0),sum(n9,succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5852,214,theory(equality)]),203,theory(equality)]) ).
cnf(5859,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5838,5844,theory(equality)]) ).
cnf(5860,plain,
( n10 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5859,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(5863,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5853,5860,theory(equality)]) ).
cnf(5866,plain,
( n7 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5863,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5867,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n7),succ(n7))) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,5866,theory(equality)]) ).
cnf(5868,plain,
( sum(sum(pred(esk11_0),succ(n7)),sum(pred(n7),succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,5866,theory(equality)]) ).
cnf(5869,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n3) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5867,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(5870,plain,
( sum(sum(pred(esk11_0),n8),sum(n6,succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5868,217,theory(equality)]),206,theory(equality)]) ).
cnf(5875,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5854,5860,theory(equality)]) ).
cnf(5876,plain,
( n7 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5875,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5879,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5869,5876,theory(equality)]) ).
cnf(5882,plain,
( n6 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5879,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(5883,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n6),succ(n6))) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,5882,theory(equality)]) ).
cnf(5884,plain,
( sum(sum(pred(esk13_0),succ(n6)),sum(pred(n6),succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,5882,theory(equality)]) ).
cnf(5885,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n1) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5883,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(5886,plain,
( sum(sum(pred(esk13_0),n7),sum(n5,succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5884,218,theory(equality)]),207,theory(equality)]) ).
cnf(5891,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5870,5876,theory(equality)]) ).
cnf(5892,plain,
( n6 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5891,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(5897,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5885,5892,theory(equality)]) ).
cnf(5900,plain,
( n2 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5897,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5901,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n2),succ(n2))) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,5900,theory(equality)]) ).
cnf(5902,plain,
( sum(sum(pred(esk15_0),succ(n2)),sum(pred(n2),succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,5900,theory(equality)]) ).
cnf(5903,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n4) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5901,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(5904,plain,
( sum(sum(pred(esk15_0),n3),sum(n1,succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5902,222,theory(equality)]),211,theory(equality)]) ).
cnf(5907,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5886,5892,theory(equality)]) ).
cnf(5908,plain,
( n2 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5907,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(5911,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5903,5908,theory(equality)]) ).
cnf(5914,plain,
( n8 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5911,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(5917,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n8),succ(n8))) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,5914,theory(equality)]) ).
cnf(5918,plain,
( sum(sum(pred(esk17_0),succ(n8)),sum(pred(n8),succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,5914,theory(equality)]) ).
cnf(5919,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n5) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5917,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(5920,plain,
( sum(sum(pred(esk17_0),n9),sum(n7,succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5918,216,theory(equality)]),205,theory(equality)]) ).
cnf(5923,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5904,5908,theory(equality)]) ).
cnf(5924,plain,
( n8 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5923,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(5927,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5919,5924,theory(equality)]) ).
cnf(5930,plain,
( n10 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5927,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(5931,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n10),succ(n10))) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,5930,theory(equality)]) ).
cnf(5932,plain,
( sum(sum(pred(esk19_0),succ(n10)),sum(pred(n10),succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,5930,theory(equality)]) ).
cnf(5933,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n9) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5931,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(5934,plain,
( sum(sum(pred(esk19_0),n0),sum(n9,succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5932,214,theory(equality)]),203,theory(equality)]) ).
cnf(5939,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5920,5924,theory(equality)]) ).
cnf(5940,plain,
( n10 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5939,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(5943,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5933,5940,theory(equality)]) ).
cnf(5946,plain,
( n7 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5943,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5951,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[5934,5940,theory(equality)]) ).
cnf(5952,plain,
( n7 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5951,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(5953,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n7 != esk22_0 ),
inference(spm,[status(thm)],[59,5952,theory(equality)]) ).
cnf(5954,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[5953,5946]) ).
cnf(5955,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n10 != esk20_0 ),
inference(spm,[status(thm)],[5954,5940,theory(equality)]) ).
cnf(5956,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[5955,5930]) ).
cnf(5957,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n8 != esk18_0 ),
inference(spm,[status(thm)],[5956,5924,theory(equality)]) ).
cnf(5958,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[5957,5914]) ).
cnf(5959,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n2 != esk16_0 ),
inference(spm,[status(thm)],[5958,5908,theory(equality)]) ).
cnf(5962,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[5959,5900]) ).
cnf(5963,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n6 != esk14_0 ),
inference(spm,[status(thm)],[5962,5892,theory(equality)]) ).
cnf(5964,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[5963,5882]) ).
cnf(5965,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n7 != esk12_0 ),
inference(spm,[status(thm)],[5964,5876,theory(equality)]) ).
cnf(5966,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[5965,5866]) ).
cnf(5967,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n10 != esk10_0 ),
inference(spm,[status(thm)],[5966,5860,theory(equality)]) ).
cnf(5968,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[5967,5850]) ).
cnf(5969,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n8 != esk8_0 ),
inference(spm,[status(thm)],[5968,5844,theory(equality)]) ).
cnf(5970,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[5969,5834]) ).
cnf(5971,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n2 != esk6_0 ),
inference(spm,[status(thm)],[5970,5828,theory(equality)]) ).
cnf(5972,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[5971,5810]) ).
cnf(5973,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n6 != esk4_0 ),
inference(spm,[status(thm)],[5972,5790,theory(equality)]) ).
cnf(5974,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(csr,[status(thm)],[5973,5789]) ).
cnf(5980,plain,
( sum(n7,sum(pred(n4),succ(n4))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4612,5974,theory(equality)]) ).
cnf(5981,plain,
( sum(sum(n8,succ(n4)),sum(pred(n4),n10)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4613,5974,theory(equality)]) ).
cnf(5984,plain,
( n4 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5980,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),117,theory(equality)]) ).
cnf(5985,plain,
( n4 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5981,220,theory(equality)]),109,theory(equality)]),209,theory(equality)]),159,theory(equality)]),178,theory(equality)]) ).
cnf(5986,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n4),succ(n4))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,5984,theory(equality)]) ).
cnf(5987,plain,
( sum(sum(pred(esk3_0),succ(n4)),sum(pred(n4),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,5984,theory(equality)]) ).
cnf(5988,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n8) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5986,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(5989,plain,
( sum(sum(pred(esk3_0),n5),sum(n3,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5987,220,theory(equality)]),209,theory(equality)]) ).
cnf(6004,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5988,5985,theory(equality)]) ).
cnf(6005,plain,
( n5 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6004,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(6006,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n5),succ(n5))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,6005,theory(equality)]) ).
cnf(6007,plain,
( sum(sum(pred(esk5_0),succ(n5)),sum(pred(n5),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,6005,theory(equality)]) ).
cnf(6008,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n10) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6006,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(6009,plain,
( sum(sum(pred(esk5_0),n6),sum(n4,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6007,219,theory(equality)]),208,theory(equality)]) ).
cnf(6022,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[5989,5985,theory(equality)]) ).
cnf(6023,plain,
( n5 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6022,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(6026,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6008,6023,theory(equality)]) ).
cnf(6029,plain,
( n9 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6026,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(6030,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n9),succ(n9))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,6029,theory(equality)]) ).
cnf(6031,plain,
( sum(sum(pred(esk7_0),succ(n9)),sum(pred(n9),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,6029,theory(equality)]) ).
cnf(6032,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n7) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6030,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(6033,plain,
( sum(sum(pred(esk7_0),n10),sum(n8,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6031,215,theory(equality)]),204,theory(equality)]) ).
cnf(6038,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6009,6023,theory(equality)]) ).
cnf(6039,plain,
( n9 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6038,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(6042,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6032,6039,theory(equality)]) ).
cnf(6045,plain,
( n3 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6042,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6046,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n3),succ(n3))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,6045,theory(equality)]) ).
cnf(6047,plain,
( sum(sum(pred(esk9_0),succ(n3)),sum(pred(n3),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,6045,theory(equality)]) ).
cnf(6048,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n6) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6046,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(6049,plain,
( sum(sum(pred(esk9_0),n4),sum(n2,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6047,221,theory(equality)]),210,theory(equality)]) ).
cnf(6054,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6033,6039,theory(equality)]) ).
cnf(6055,plain,
( n3 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6054,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6058,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6048,6055,theory(equality)]) ).
cnf(6061,plain,
( n1 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6058,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6062,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n1),succ(n1))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,6061,theory(equality)]) ).
cnf(6063,plain,
( sum(sum(pred(esk11_0),succ(n1)),sum(pred(n1),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,6061,theory(equality)]) ).
cnf(6064,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n2) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6062,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(6065,plain,
( sum(sum(pred(esk11_0),n2),sum(n0,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6063,223,theory(equality)]),212,theory(equality)]) ).
cnf(6070,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6049,6055,theory(equality)]) ).
cnf(6071,plain,
( n1 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6070,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6074,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6064,6071,theory(equality)]) ).
cnf(6077,plain,
( n4 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6074,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(6078,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n4),succ(n4))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,6077,theory(equality)]) ).
cnf(6079,plain,
( sum(sum(pred(esk13_0),succ(n4)),sum(pred(n4),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,6077,theory(equality)]) ).
cnf(6080,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n8) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6078,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(6081,plain,
( sum(sum(pred(esk13_0),n5),sum(n3,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6079,220,theory(equality)]),209,theory(equality)]) ).
cnf(6086,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6065,6071,theory(equality)]) ).
cnf(6087,plain,
( n4 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6086,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(6090,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6080,6087,theory(equality)]) ).
cnf(6093,plain,
( n5 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6090,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(6094,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n5),succ(n5))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,6093,theory(equality)]) ).
cnf(6095,plain,
( sum(sum(pred(esk15_0),succ(n5)),sum(pred(n5),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,6093,theory(equality)]) ).
cnf(6096,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n10) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6094,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(6097,plain,
( sum(sum(pred(esk15_0),n6),sum(n4,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6095,219,theory(equality)]),208,theory(equality)]) ).
cnf(6102,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6081,6087,theory(equality)]) ).
cnf(6103,plain,
( n5 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6102,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(6108,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6096,6103,theory(equality)]) ).
cnf(6111,plain,
( n9 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6108,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(6112,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n9),succ(n9))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,6111,theory(equality)]) ).
cnf(6113,plain,
( sum(sum(pred(esk17_0),succ(n9)),sum(pred(n9),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,6111,theory(equality)]) ).
cnf(6114,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n7) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6112,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(6115,plain,
( sum(sum(pred(esk17_0),n10),sum(n8,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6113,215,theory(equality)]),204,theory(equality)]) ).
cnf(6118,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6097,6103,theory(equality)]) ).
cnf(6119,plain,
( n9 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6118,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(6122,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6114,6119,theory(equality)]) ).
cnf(6125,plain,
( n3 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6122,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6128,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n3),succ(n3))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,6125,theory(equality)]) ).
cnf(6129,plain,
( sum(sum(pred(esk19_0),succ(n3)),sum(pred(n3),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,6125,theory(equality)]) ).
cnf(6130,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n6) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6128,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(6131,plain,
( sum(sum(pred(esk19_0),n4),sum(n2,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6129,221,theory(equality)]),210,theory(equality)]) ).
cnf(6134,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6115,6119,theory(equality)]) ).
cnf(6135,plain,
( n3 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6134,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6138,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6130,6135,theory(equality)]) ).
cnf(6141,plain,
( n1 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6138,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6146,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6131,6135,theory(equality)]) ).
cnf(6147,plain,
( n1 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6146,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6148,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n1 != esk22_0 ),
inference(spm,[status(thm)],[59,6147,theory(equality)]) ).
cnf(6149,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[6148,6141]) ).
cnf(6150,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n3 != esk20_0 ),
inference(spm,[status(thm)],[6149,6135,theory(equality)]) ).
cnf(6151,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[6150,6125]) ).
cnf(6152,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n9 != esk18_0 ),
inference(spm,[status(thm)],[6151,6119,theory(equality)]) ).
cnf(6155,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[6152,6111]) ).
cnf(6156,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n5 != esk16_0 ),
inference(spm,[status(thm)],[6155,6103,theory(equality)]) ).
cnf(6157,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[6156,6093]) ).
cnf(6158,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n4 != esk14_0 ),
inference(spm,[status(thm)],[6157,6087,theory(equality)]) ).
cnf(6159,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[6158,6077]) ).
cnf(6160,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n1 != esk12_0 ),
inference(spm,[status(thm)],[6159,6071,theory(equality)]) ).
cnf(6161,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[6160,6061]) ).
cnf(6162,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n3 != esk10_0 ),
inference(spm,[status(thm)],[6161,6055,theory(equality)]) ).
cnf(6163,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[6162,6045]) ).
cnf(6164,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n9 != esk8_0 ),
inference(spm,[status(thm)],[6163,6039,theory(equality)]) ).
cnf(6165,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[6164,6029]) ).
cnf(6166,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n5 != esk6_0 ),
inference(spm,[status(thm)],[6165,6023,theory(equality)]) ).
cnf(6167,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[6166,6005]) ).
cnf(6168,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n4 != esk4_0 ),
inference(spm,[status(thm)],[6167,5985,theory(equality)]) ).
cnf(6169,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[6168,5984]) ).
cnf(6174,plain,
( sum(n7,sum(pred(n3),succ(n3))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4612,6169,theory(equality)]) ).
cnf(6175,plain,
( sum(sum(n8,succ(n3)),sum(pred(n3),n10)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[4613,6169,theory(equality)]) ).
cnf(6178,plain,
( n2 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6174,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),119,theory(equality)]) ).
cnf(6179,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6175,221,theory(equality)]),110,theory(equality)]),210,theory(equality)]),170,theory(equality)]),190,theory(equality)]) ).
cnf(6180,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n2),succ(n2))) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,6178,theory(equality)]) ).
cnf(6181,plain,
( sum(sum(pred(esk3_0),succ(n2)),sum(pred(n2),succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,6178,theory(equality)]) ).
cnf(6182,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n4) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6180,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(6183,plain,
( sum(sum(pred(esk3_0),n3),sum(n1,succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6181,222,theory(equality)]),211,theory(equality)]) ).
cnf(6198,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6182,6179,theory(equality)]) ).
cnf(6199,plain,
( n8 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6198,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(6200,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n8),succ(n8))) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,6199,theory(equality)]) ).
cnf(6201,plain,
( sum(sum(pred(esk5_0),succ(n8)),sum(pred(n8),succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,6199,theory(equality)]) ).
cnf(6202,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n5) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6200,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(6203,plain,
( sum(sum(pred(esk5_0),n9),sum(n7,succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6201,216,theory(equality)]),205,theory(equality)]) ).
cnf(6216,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6183,6179,theory(equality)]) ).
cnf(6217,plain,
( n8 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6216,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(6220,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6202,6217,theory(equality)]) ).
cnf(6223,plain,
( n10 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6220,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(6224,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n10),succ(n10))) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,6223,theory(equality)]) ).
cnf(6225,plain,
( sum(sum(pred(esk7_0),succ(n10)),sum(pred(n10),succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,6223,theory(equality)]) ).
cnf(6226,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n9) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6224,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(6227,plain,
( sum(sum(pred(esk7_0),n0),sum(n9,succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6225,214,theory(equality)]),203,theory(equality)]) ).
cnf(6232,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6203,6217,theory(equality)]) ).
cnf(6233,plain,
( n10 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6232,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(6236,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6226,6233,theory(equality)]) ).
cnf(6239,plain,
( n7 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6236,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(6240,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n7),succ(n7))) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,6239,theory(equality)]) ).
cnf(6241,plain,
( sum(sum(pred(esk9_0),succ(n7)),sum(pred(n7),succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,6239,theory(equality)]) ).
cnf(6242,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n3) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6240,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(6243,plain,
( sum(sum(pred(esk9_0),n8),sum(n6,succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6241,217,theory(equality)]),206,theory(equality)]) ).
cnf(6248,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6227,6233,theory(equality)]) ).
cnf(6249,plain,
( n7 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6248,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(6252,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6242,6249,theory(equality)]) ).
cnf(6255,plain,
( n6 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6252,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(6256,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n6),succ(n6))) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,6255,theory(equality)]) ).
cnf(6257,plain,
( sum(sum(pred(esk11_0),succ(n6)),sum(pred(n6),succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,6255,theory(equality)]) ).
cnf(6258,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n1) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6256,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(6259,plain,
( sum(sum(pred(esk11_0),n7),sum(n5,succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6257,218,theory(equality)]),207,theory(equality)]) ).
cnf(6264,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6243,6249,theory(equality)]) ).
cnf(6265,plain,
( n6 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6264,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(6268,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6258,6265,theory(equality)]) ).
cnf(6271,plain,
( n2 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6268,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(6272,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n2),succ(n2))) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,6271,theory(equality)]) ).
cnf(6273,plain,
( sum(sum(pred(esk13_0),succ(n2)),sum(pred(n2),succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,6271,theory(equality)]) ).
cnf(6274,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n4) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6272,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(6275,plain,
( sum(sum(pred(esk13_0),n3),sum(n1,succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6273,222,theory(equality)]),211,theory(equality)]) ).
cnf(6280,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6259,6265,theory(equality)]) ).
cnf(6281,plain,
( n2 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6280,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(6284,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6274,6281,theory(equality)]) ).
cnf(6287,plain,
( n8 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6284,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(6288,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n8),succ(n8))) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,6287,theory(equality)]) ).
cnf(6289,plain,
( sum(sum(pred(esk15_0),succ(n8)),sum(pred(n8),succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,6287,theory(equality)]) ).
cnf(6290,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n5) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6288,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(6291,plain,
( sum(sum(pred(esk15_0),n9),sum(n7,succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6289,216,theory(equality)]),205,theory(equality)]) ).
cnf(6296,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6275,6281,theory(equality)]) ).
cnf(6297,plain,
( n8 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6296,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(6302,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6290,6297,theory(equality)]) ).
cnf(6305,plain,
( n10 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6302,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(6306,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n10),succ(n10))) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,6305,theory(equality)]) ).
cnf(6307,plain,
( sum(sum(pred(esk17_0),succ(n10)),sum(pred(n10),succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,6305,theory(equality)]) ).
cnf(6308,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n9) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6306,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(6309,plain,
( sum(sum(pred(esk17_0),n0),sum(n9,succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6307,214,theory(equality)]),203,theory(equality)]) ).
cnf(6312,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6291,6297,theory(equality)]) ).
cnf(6313,plain,
( n10 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6312,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(6316,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6308,6313,theory(equality)]) ).
cnf(6319,plain,
( n7 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6316,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(6322,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n7),succ(n7))) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,6319,theory(equality)]) ).
cnf(6323,plain,
( sum(sum(pred(esk19_0),succ(n7)),sum(pred(n7),succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,6319,theory(equality)]) ).
cnf(6324,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n3) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6322,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(6325,plain,
( sum(sum(pred(esk19_0),n8),sum(n6,succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6323,217,theory(equality)]),206,theory(equality)]) ).
cnf(6328,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6309,6313,theory(equality)]) ).
cnf(6329,plain,
( n7 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6328,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(6332,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6324,6329,theory(equality)]) ).
cnf(6335,plain,
( n6 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6332,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(6340,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6325,6329,theory(equality)]) ).
cnf(6341,plain,
( n6 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6340,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(6342,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n6 != esk22_0 ),
inference(spm,[status(thm)],[59,6341,theory(equality)]) ).
cnf(6343,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[6342,6335]) ).
cnf(6344,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n7 != esk20_0 ),
inference(spm,[status(thm)],[6343,6329,theory(equality)]) ).
cnf(6345,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[6344,6319]) ).
cnf(6346,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n10 != esk18_0 ),
inference(spm,[status(thm)],[6345,6313,theory(equality)]) ).
cnf(6349,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[6346,6305]) ).
cnf(6350,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n8 != esk16_0 ),
inference(spm,[status(thm)],[6349,6297,theory(equality)]) ).
cnf(6351,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[6350,6287]) ).
cnf(6352,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n2 != esk14_0 ),
inference(spm,[status(thm)],[6351,6281,theory(equality)]) ).
cnf(6353,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[6352,6271]) ).
cnf(6354,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n6 != esk12_0 ),
inference(spm,[status(thm)],[6353,6265,theory(equality)]) ).
cnf(6355,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[6354,6255]) ).
cnf(6356,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n7 != esk10_0 ),
inference(spm,[status(thm)],[6355,6249,theory(equality)]) ).
cnf(6357,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[6356,6239]) ).
cnf(6358,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n10 != esk8_0 ),
inference(spm,[status(thm)],[6357,6233,theory(equality)]) ).
cnf(6359,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[6358,6223]) ).
cnf(6360,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n8 != esk6_0 ),
inference(spm,[status(thm)],[6359,6217,theory(equality)]) ).
cnf(6361,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[6360,6199]) ).
cnf(6362,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| n2 != esk4_0 ),
inference(spm,[status(thm)],[6361,6179,theory(equality)]) ).
cnf(6363,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(csr,[status(thm)],[6362,6178]) ).
cnf(6367,plain,
( sum(n7,sum(pred(n2),succ(n2))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4612,6363,theory(equality)]) ).
cnf(6368,plain,
( sum(sum(n8,succ(n2)),sum(pred(n2),n10)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[4613,6363,theory(equality)]) ).
cnf(6371,plain,
( n0 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6367,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),121,theory(equality)]) ).
cnf(6372,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6368,222,theory(equality)]),111,theory(equality)]),211,theory(equality)]),181,theory(equality)]),202,theory(equality)]) ).
cnf(6373,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n0),succ(n0))) = esk6_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,6371,theory(equality)]) ).
cnf(6374,plain,
( sum(sum(pred(esk3_0),succ(n0)),sum(pred(n0),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,6371,theory(equality)]) ).
cnf(6375,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n0) = esk6_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6373,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(6376,plain,
( sum(sum(pred(esk3_0),n1),sum(n10,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6374,224,theory(equality)]),213,theory(equality)]) ).
cnf(6391,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6375,6372,theory(equality)]) ).
cnf(6392,plain,
( n0 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6391,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6393,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n0),succ(n0))) = esk8_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,6392,theory(equality)]) ).
cnf(6394,plain,
( sum(sum(pred(esk5_0),succ(n0)),sum(pred(n0),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,6392,theory(equality)]) ).
cnf(6395,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n0) = esk8_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6393,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(6396,plain,
( sum(sum(pred(esk5_0),n1),sum(n10,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6394,224,theory(equality)]),213,theory(equality)]) ).
cnf(6409,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6376,6372,theory(equality)]) ).
cnf(6410,plain,
( n0 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6409,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6413,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6395,6410,theory(equality)]) ).
cnf(6416,plain,
( n0 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6413,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6417,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n0),succ(n0))) = esk10_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,6416,theory(equality)]) ).
cnf(6418,plain,
( sum(sum(pred(esk7_0),succ(n0)),sum(pred(n0),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,6416,theory(equality)]) ).
cnf(6419,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n0) = esk10_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6417,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(6420,plain,
( sum(sum(pred(esk7_0),n1),sum(n10,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6418,224,theory(equality)]),213,theory(equality)]) ).
cnf(6425,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6396,6410,theory(equality)]) ).
cnf(6426,plain,
( n0 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6425,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6429,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6419,6426,theory(equality)]) ).
cnf(6432,plain,
( n0 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6429,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6433,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n0),succ(n0))) = esk12_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,6432,theory(equality)]) ).
cnf(6434,plain,
( sum(sum(pred(esk9_0),succ(n0)),sum(pred(n0),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,6432,theory(equality)]) ).
cnf(6435,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n0) = esk12_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6433,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(6436,plain,
( sum(sum(pred(esk9_0),n1),sum(n10,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6434,224,theory(equality)]),213,theory(equality)]) ).
cnf(6441,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6420,6426,theory(equality)]) ).
cnf(6442,plain,
( n0 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6441,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6445,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6435,6442,theory(equality)]) ).
cnf(6448,plain,
( n0 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6445,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6449,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n0),succ(n0))) = esk14_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,6448,theory(equality)]) ).
cnf(6450,plain,
( sum(sum(pred(esk11_0),succ(n0)),sum(pred(n0),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,6448,theory(equality)]) ).
cnf(6451,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n0) = esk14_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6449,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(6452,plain,
( sum(sum(pred(esk11_0),n1),sum(n10,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6450,224,theory(equality)]),213,theory(equality)]) ).
cnf(6457,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6436,6442,theory(equality)]) ).
cnf(6458,plain,
( n0 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6457,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6461,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6451,6458,theory(equality)]) ).
cnf(6464,plain,
( n0 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6461,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6465,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n0),succ(n0))) = esk16_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,6464,theory(equality)]) ).
cnf(6466,plain,
( sum(sum(pred(esk13_0),succ(n0)),sum(pred(n0),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,6464,theory(equality)]) ).
cnf(6467,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n0) = esk16_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6465,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(6468,plain,
( sum(sum(pred(esk13_0),n1),sum(n10,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6466,224,theory(equality)]),213,theory(equality)]) ).
cnf(6473,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6452,6458,theory(equality)]) ).
cnf(6474,plain,
( n0 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6473,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6479,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6467,6474,theory(equality)]) ).
cnf(6482,plain,
( n0 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6479,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6483,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n0),succ(n0))) = esk18_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,6482,theory(equality)]) ).
cnf(6484,plain,
( sum(sum(pred(esk15_0),succ(n0)),sum(pred(n0),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,6482,theory(equality)]) ).
cnf(6485,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n0) = esk18_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6483,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(6486,plain,
( sum(sum(pred(esk15_0),n1),sum(n10,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6484,224,theory(equality)]),213,theory(equality)]) ).
cnf(6489,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6468,6474,theory(equality)]) ).
cnf(6490,plain,
( n0 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6489,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6493,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6485,6490,theory(equality)]) ).
cnf(6496,plain,
( n0 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6493,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6499,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n0),succ(n0))) = esk20_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,6496,theory(equality)]) ).
cnf(6500,plain,
( sum(sum(pred(esk17_0),succ(n0)),sum(pred(n0),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,6496,theory(equality)]) ).
cnf(6501,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n0) = esk20_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6499,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(6502,plain,
( sum(sum(pred(esk17_0),n1),sum(n10,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6500,224,theory(equality)]),213,theory(equality)]) ).
cnf(6505,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6486,6490,theory(equality)]) ).
cnf(6506,plain,
( n0 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6505,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6509,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6501,6506,theory(equality)]) ).
cnf(6512,plain,
( n0 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6509,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6513,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n0),succ(n0))) = esk22_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,6512,theory(equality)]) ).
cnf(6514,plain,
( sum(sum(pred(esk19_0),succ(n0)),sum(pred(n0),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,6512,theory(equality)]) ).
cnf(6515,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n0) = esk22_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6513,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(6516,plain,
( sum(sum(pred(esk19_0),n1),sum(n10,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6514,224,theory(equality)]),213,theory(equality)]) ).
cnf(6521,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6502,6506,theory(equality)]) ).
cnf(6522,plain,
( n0 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6521,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6525,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6515,6522,theory(equality)]) ).
cnf(6528,plain,
( n0 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6525,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6533,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6516,6522,theory(equality)]) ).
cnf(6534,plain,
( n0 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6533,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(6535,plain,
( esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n0 != esk22_0 ),
inference(spm,[status(thm)],[59,6534,theory(equality)]) ).
cnf(6536,plain,
( esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[6535,6528]) ).
cnf(6537,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n0 != esk20_0 ),
inference(spm,[status(thm)],[6536,6522,theory(equality)]) ).
cnf(6538,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[6537,6512]) ).
cnf(6539,plain,
( esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n0 != esk18_0 ),
inference(spm,[status(thm)],[6538,6506,theory(equality)]) ).
cnf(6540,plain,
( esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[6539,6496]) ).
cnf(6541,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n0 != esk16_0 ),
inference(spm,[status(thm)],[6540,6490,theory(equality)]) ).
cnf(6544,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[6541,6482]) ).
cnf(6545,plain,
( esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n0 != esk14_0 ),
inference(spm,[status(thm)],[6544,6474,theory(equality)]) ).
cnf(6546,plain,
( esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[6545,6464]) ).
cnf(6547,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n0 != esk12_0 ),
inference(spm,[status(thm)],[6546,6458,theory(equality)]) ).
cnf(6548,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[6547,6448]) ).
cnf(6549,plain,
( esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n0 != esk10_0 ),
inference(spm,[status(thm)],[6548,6442,theory(equality)]) ).
cnf(6550,plain,
( esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[6549,6432]) ).
cnf(6551,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n0 != esk8_0 ),
inference(spm,[status(thm)],[6550,6426,theory(equality)]) ).
cnf(6552,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[6551,6416]) ).
cnf(6553,plain,
( esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n0 != esk6_0 ),
inference(spm,[status(thm)],[6552,6410,theory(equality)]) ).
cnf(6554,plain,
( esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[6553,6392]) ).
cnf(6555,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| n0 != esk4_0 ),
inference(spm,[status(thm)],[6554,6372,theory(equality)]) ).
cnf(6556,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(csr,[status(thm)],[6555,6371]) ).
cnf(6559,plain,
( sum(n7,sum(pred(n1),succ(n1))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[4612,6556,theory(equality)]) ).
cnf(6560,plain,
( sum(sum(n8,succ(n1)),sum(pred(n1),n10)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[4613,6556,theory(equality)]) ).
cnf(6563,plain,
( n9 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6559,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),123,theory(equality)]) ).
cnf(6564,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6560,223,theory(equality)]),112,theory(equality)]),212,theory(equality)]),192,theory(equality)]),82,theory(equality)]) ).
cnf(6565,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n9),succ(n9))) = esk6_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,6563,theory(equality)]) ).
cnf(6566,plain,
( sum(sum(pred(esk3_0),succ(n9)),sum(pred(n9),succ(esk3_0))) = esk5_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,6563,theory(equality)]) ).
cnf(6567,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n7) = esk6_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6565,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(6568,plain,
( sum(sum(pred(esk3_0),n10),sum(n8,succ(esk3_0))) = esk5_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6566,215,theory(equality)]),204,theory(equality)]) ).
cnf(6583,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6567,6564,theory(equality)]) ).
cnf(6584,plain,
( n3 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6583,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6585,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n3),succ(n3))) = esk8_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,6584,theory(equality)]) ).
cnf(6586,plain,
( sum(sum(pred(esk5_0),succ(n3)),sum(pred(n3),succ(esk5_0))) = esk7_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,6584,theory(equality)]) ).
cnf(6587,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n6) = esk8_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6585,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(6588,plain,
( sum(sum(pred(esk5_0),n4),sum(n2,succ(esk5_0))) = esk7_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6586,221,theory(equality)]),210,theory(equality)]) ).
cnf(6601,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6568,6564,theory(equality)]) ).
cnf(6602,plain,
( n3 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6601,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6605,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6587,6602,theory(equality)]) ).
cnf(6608,plain,
( n1 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6605,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6609,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n1),succ(n1))) = esk10_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,6608,theory(equality)]) ).
cnf(6610,plain,
( sum(sum(pred(esk7_0),succ(n1)),sum(pred(n1),succ(esk7_0))) = esk9_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,6608,theory(equality)]) ).
cnf(6611,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n2) = esk10_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6609,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(6612,plain,
( sum(sum(pred(esk7_0),n2),sum(n0,succ(esk7_0))) = esk9_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6610,223,theory(equality)]),212,theory(equality)]) ).
cnf(6617,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6588,6602,theory(equality)]) ).
cnf(6618,plain,
( n1 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6617,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6621,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6611,6618,theory(equality)]) ).
cnf(6624,plain,
( n4 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6621,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(6625,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n4),succ(n4))) = esk12_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,6624,theory(equality)]) ).
cnf(6626,plain,
( sum(sum(pred(esk9_0),succ(n4)),sum(pred(n4),succ(esk9_0))) = esk11_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,6624,theory(equality)]) ).
cnf(6627,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n8) = esk12_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6625,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(6628,plain,
( sum(sum(pred(esk9_0),n5),sum(n3,succ(esk9_0))) = esk11_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6626,220,theory(equality)]),209,theory(equality)]) ).
cnf(6633,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6612,6618,theory(equality)]) ).
cnf(6634,plain,
( n4 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6633,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(6639,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6627,6634,theory(equality)]) ).
cnf(6642,plain,
( n5 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6639,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(6643,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n5),succ(n5))) = esk14_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,6642,theory(equality)]) ).
cnf(6644,plain,
( sum(sum(pred(esk11_0),succ(n5)),sum(pred(n5),succ(esk11_0))) = esk13_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,6642,theory(equality)]) ).
cnf(6645,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n10) = esk14_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6643,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(6646,plain,
( sum(sum(pred(esk11_0),n6),sum(n4,succ(esk11_0))) = esk13_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6644,219,theory(equality)]),208,theory(equality)]) ).
cnf(6649,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6628,6634,theory(equality)]) ).
cnf(6650,plain,
( n5 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6649,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(6653,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6645,6650,theory(equality)]) ).
cnf(6656,plain,
( n9 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6653,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(6659,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n9),succ(n9))) = esk16_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,6656,theory(equality)]) ).
cnf(6660,plain,
( sum(sum(pred(esk13_0),succ(n9)),sum(pred(n9),succ(esk13_0))) = esk15_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,6656,theory(equality)]) ).
cnf(6661,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n7) = esk16_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6659,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(6662,plain,
( sum(sum(pred(esk13_0),n10),sum(n8,succ(esk13_0))) = esk15_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6660,215,theory(equality)]),204,theory(equality)]) ).
cnf(6665,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6646,6650,theory(equality)]) ).
cnf(6666,plain,
( n9 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6665,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(6669,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6661,6666,theory(equality)]) ).
cnf(6672,plain,
( n3 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6669,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6673,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n3),succ(n3))) = esk18_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,6672,theory(equality)]) ).
cnf(6674,plain,
( sum(sum(pred(esk15_0),succ(n3)),sum(pred(n3),succ(esk15_0))) = esk17_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,6672,theory(equality)]) ).
cnf(6675,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n6) = esk18_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6673,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(6676,plain,
( sum(sum(pred(esk15_0),n4),sum(n2,succ(esk15_0))) = esk17_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6674,221,theory(equality)]),210,theory(equality)]) ).
cnf(6681,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6662,6666,theory(equality)]) ).
cnf(6682,plain,
( n3 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6681,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6685,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6675,6682,theory(equality)]) ).
cnf(6688,plain,
( n1 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6685,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6689,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n1),succ(n1))) = esk20_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,6688,theory(equality)]) ).
cnf(6690,plain,
( sum(sum(pred(esk17_0),succ(n1)),sum(pred(n1),succ(esk17_0))) = esk19_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,6688,theory(equality)]) ).
cnf(6691,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n2) = esk20_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6689,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(6692,plain,
( sum(sum(pred(esk17_0),n2),sum(n0,succ(esk17_0))) = esk19_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6690,223,theory(equality)]),212,theory(equality)]) ).
cnf(6697,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6676,6682,theory(equality)]) ).
cnf(6698,plain,
( n1 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6697,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6701,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6691,6698,theory(equality)]) ).
cnf(6704,plain,
( n4 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6701,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(6705,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n4),succ(n4))) = esk22_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,6704,theory(equality)]) ).
cnf(6706,plain,
( sum(sum(pred(esk19_0),succ(n4)),sum(pred(n4),succ(esk19_0))) = esk21_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,6704,theory(equality)]) ).
cnf(6707,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n8) = esk22_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6705,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(6708,plain,
( sum(sum(pred(esk19_0),n5),sum(n3,succ(esk19_0))) = esk21_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6706,220,theory(equality)]),209,theory(equality)]) ).
cnf(6713,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6692,6698,theory(equality)]) ).
cnf(6714,plain,
( n4 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6713,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(6717,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6707,6714,theory(equality)]) ).
cnf(6720,plain,
( n5 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6717,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(6725,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[6708,6714,theory(equality)]) ).
cnf(6726,plain,
( n5 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6725,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(6727,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n5 != esk22_0 ),
inference(spm,[status(thm)],[59,6726,theory(equality)]) ).
cnf(6730,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[6727,6720]) ).
cnf(6731,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n4 != esk20_0 ),
inference(spm,[status(thm)],[6730,6714,theory(equality)]) ).
cnf(6732,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[6731,6704]) ).
cnf(6733,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n1 != esk18_0 ),
inference(spm,[status(thm)],[6732,6698,theory(equality)]) ).
cnf(6734,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[6733,6688]) ).
cnf(6735,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n3 != esk16_0 ),
inference(spm,[status(thm)],[6734,6682,theory(equality)]) ).
cnf(6736,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[6735,6672]) ).
cnf(6737,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n9 != esk14_0 ),
inference(spm,[status(thm)],[6736,6666,theory(equality)]) ).
cnf(6738,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[6737,6656]) ).
cnf(6739,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n5 != esk12_0 ),
inference(spm,[status(thm)],[6738,6650,theory(equality)]) ).
cnf(6740,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[6739,6642]) ).
cnf(6741,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n4 != esk10_0 ),
inference(spm,[status(thm)],[6740,6634,theory(equality)]) ).
cnf(6742,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[6741,6624]) ).
cnf(6743,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n1 != esk8_0 ),
inference(spm,[status(thm)],[6742,6618,theory(equality)]) ).
cnf(6744,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[6743,6608]) ).
cnf(6745,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n3 != esk6_0 ),
inference(spm,[status(thm)],[6744,6602,theory(equality)]) ).
cnf(6746,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[6745,6584]) ).
cnf(6747,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| n9 != esk4_0 ),
inference(spm,[status(thm)],[6746,6564,theory(equality)]) ).
cnf(6748,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(csr,[status(thm)],[6747,6563]) ).
cnf(6756,plain,
( sum(sum(pred(n8),succ(n8)),sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[78,6748,theory(equality)]) ).
cnf(6757,plain,
( sum(sum(pred(n8),succ(esk2_0)),sum(pred(esk2_0),succ(n8))) = esk3_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[79,6748,theory(equality)]) ).
cnf(6758,plain,
( sum(sum(pred(n8),succ(n8)),n0) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[248,6748,theory(equality)]) ).
cnf(6759,plain,
( sum(sum(pred(n8),n1),sum(n10,succ(n8))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[252,6748,theory(equality)]) ).
cnf(6760,plain,
( sum(n5,sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6756,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(6761,plain,
( sum(sum(n7,succ(esk2_0)),sum(pred(esk2_0),n9)) = esk3_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6757,205,theory(equality)]),216,theory(equality)]) ).
cnf(6762,plain,
( n5 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6758,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),147,theory(equality)]) ).
cnf(6763,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6759,205,theory(equality)]),124,theory(equality)]),216,theory(equality)]),83,theory(equality)]),106,theory(equality)]) ).
cnf(6766,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n5),succ(n5))) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,6762,theory(equality)]) ).
cnf(6767,plain,
( sum(sum(pred(esk3_0),succ(n5)),sum(pred(n5),succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,6762,theory(equality)]) ).
cnf(6768,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n10) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6766,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(6769,plain,
( sum(sum(pred(esk3_0),n6),sum(n4,succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6767,219,theory(equality)]),208,theory(equality)]) ).
cnf(6776,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6768,6763,theory(equality)]) ).
cnf(6777,plain,
( n9 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6776,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(6778,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n9),succ(n9))) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,6777,theory(equality)]) ).
cnf(6779,plain,
( sum(sum(pred(esk5_0),succ(n9)),sum(pred(n9),succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,6777,theory(equality)]) ).
cnf(6780,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n7) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6778,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(6781,plain,
( sum(sum(pred(esk5_0),n10),sum(n8,succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6779,215,theory(equality)]),204,theory(equality)]) ).
cnf(6784,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6769,6763,theory(equality)]) ).
cnf(6785,plain,
( n9 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6784,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(6788,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6780,6785,theory(equality)]) ).
cnf(6791,plain,
( n3 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6788,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6792,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n3),succ(n3))) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,6791,theory(equality)]) ).
cnf(6793,plain,
( sum(sum(pred(esk7_0),succ(n3)),sum(pred(n3),succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,6791,theory(equality)]) ).
cnf(6794,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n6) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6792,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(6795,plain,
( sum(sum(pred(esk7_0),n4),sum(n2,succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6793,221,theory(equality)]),210,theory(equality)]) ).
cnf(6800,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6781,6785,theory(equality)]) ).
cnf(6801,plain,
( n3 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6800,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6804,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6794,6801,theory(equality)]) ).
cnf(6807,plain,
( n1 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6804,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6808,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n1),succ(n1))) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,6807,theory(equality)]) ).
cnf(6809,plain,
( sum(sum(pred(esk9_0),succ(n1)),sum(pred(n1),succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,6807,theory(equality)]) ).
cnf(6810,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n2) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6808,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(6811,plain,
( sum(sum(pred(esk9_0),n2),sum(n0,succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6809,223,theory(equality)]),212,theory(equality)]) ).
cnf(6816,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6795,6801,theory(equality)]) ).
cnf(6817,plain,
( n1 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6816,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6820,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6810,6817,theory(equality)]) ).
cnf(6823,plain,
( n4 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6820,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(6824,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n4),succ(n4))) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,6823,theory(equality)]) ).
cnf(6825,plain,
( sum(sum(pred(esk11_0),succ(n4)),sum(pred(n4),succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,6823,theory(equality)]) ).
cnf(6826,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n8) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6824,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(6827,plain,
( sum(sum(pred(esk11_0),n5),sum(n3,succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6825,220,theory(equality)]),209,theory(equality)]) ).
cnf(6832,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6811,6817,theory(equality)]) ).
cnf(6833,plain,
( n4 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6832,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(6836,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6826,6833,theory(equality)]) ).
cnf(6839,plain,
( n5 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6836,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(6840,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n5),succ(n5))) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,6839,theory(equality)]) ).
cnf(6841,plain,
( sum(sum(pred(esk13_0),succ(n5)),sum(pred(n5),succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,6839,theory(equality)]) ).
cnf(6842,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n10) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6840,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(6843,plain,
( sum(sum(pred(esk13_0),n6),sum(n4,succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6841,219,theory(equality)]),208,theory(equality)]) ).
cnf(6848,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6827,6833,theory(equality)]) ).
cnf(6849,plain,
( n5 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6848,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(6852,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6842,6849,theory(equality)]) ).
cnf(6855,plain,
( n9 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6852,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(6856,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n9),succ(n9))) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,6855,theory(equality)]) ).
cnf(6857,plain,
( sum(sum(pred(esk15_0),succ(n9)),sum(pred(n9),succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,6855,theory(equality)]) ).
cnf(6858,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n7) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6856,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(6859,plain,
( sum(sum(pred(esk15_0),n10),sum(n8,succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6857,215,theory(equality)]),204,theory(equality)]) ).
cnf(6864,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6843,6849,theory(equality)]) ).
cnf(6865,plain,
( n9 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6864,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(6868,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6858,6865,theory(equality)]) ).
cnf(6871,plain,
( n3 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6868,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6872,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n3),succ(n3))) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,6871,theory(equality)]) ).
cnf(6873,plain,
( sum(sum(pred(esk17_0),succ(n3)),sum(pred(n3),succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,6871,theory(equality)]) ).
cnf(6874,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n6) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6872,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(6875,plain,
( sum(sum(pred(esk17_0),n4),sum(n2,succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6873,221,theory(equality)]),210,theory(equality)]) ).
cnf(6880,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6859,6865,theory(equality)]) ).
cnf(6881,plain,
( n3 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6880,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(6884,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6874,6881,theory(equality)]) ).
cnf(6887,plain,
( n1 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6884,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6888,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n1),succ(n1))) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,6887,theory(equality)]) ).
cnf(6889,plain,
( sum(sum(pred(esk19_0),succ(n1)),sum(pred(n1),succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,6887,theory(equality)]) ).
cnf(6890,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n2) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6888,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(6891,plain,
( sum(sum(pred(esk19_0),n2),sum(n0,succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6889,223,theory(equality)]),212,theory(equality)]) ).
cnf(6896,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6875,6881,theory(equality)]) ).
cnf(6897,plain,
( n1 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6896,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6902,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6890,6897,theory(equality)]) ).
cnf(6905,plain,
( n4 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6902,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(6908,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[6891,6897,theory(equality)]) ).
cnf(6909,plain,
( n4 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6908,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(6910,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n4 != esk22_0 ),
inference(spm,[status(thm)],[59,6909,theory(equality)]) ).
cnf(6913,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[6910,6905]) ).
cnf(6914,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n1 != esk20_0 ),
inference(spm,[status(thm)],[6913,6897,theory(equality)]) ).
cnf(6915,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[6914,6887]) ).
cnf(6916,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n3 != esk18_0 ),
inference(spm,[status(thm)],[6915,6881,theory(equality)]) ).
cnf(6917,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[6916,6871]) ).
cnf(6918,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n9 != esk16_0 ),
inference(spm,[status(thm)],[6917,6865,theory(equality)]) ).
cnf(6919,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[6918,6855]) ).
cnf(6920,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n5 != esk14_0 ),
inference(spm,[status(thm)],[6919,6849,theory(equality)]) ).
cnf(6921,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[6920,6839]) ).
cnf(6922,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n4 != esk12_0 ),
inference(spm,[status(thm)],[6921,6833,theory(equality)]) ).
cnf(6923,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[6922,6823]) ).
cnf(6924,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n1 != esk10_0 ),
inference(spm,[status(thm)],[6923,6817,theory(equality)]) ).
cnf(6925,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[6924,6807]) ).
cnf(6926,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n3 != esk8_0 ),
inference(spm,[status(thm)],[6925,6801,theory(equality)]) ).
cnf(6927,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[6926,6791]) ).
cnf(6928,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n9 != esk6_0 ),
inference(spm,[status(thm)],[6927,6785,theory(equality)]) ).
cnf(6929,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[6928,6777]) ).
cnf(6930,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n5 != esk4_0 ),
inference(spm,[status(thm)],[6929,6763,theory(equality)]) ).
cnf(6931,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(csr,[status(thm)],[6930,6762]) ).
cnf(6943,plain,
( sum(n5,sum(pred(n10),succ(n10))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6760,6931,theory(equality)]) ).
cnf(6944,plain,
( sum(sum(n7,succ(n10)),sum(pred(n10),n9)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6761,6931,theory(equality)]) ).
cnf(6947,plain,
( n3 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6943,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),138,theory(equality)]) ).
cnf(6948,plain,
( n3 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6944,214,theory(equality)]),125,theory(equality)]),203,theory(equality)]),94,theory(equality)]),118,theory(equality)]) ).
cnf(6949,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n3),succ(n3))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,6947,theory(equality)]) ).
cnf(6950,plain,
( sum(sum(pred(esk3_0),succ(n3)),sum(pred(n3),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,6947,theory(equality)]) ).
cnf(6951,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n6) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6949,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(6952,plain,
( sum(sum(pred(esk3_0),n4),sum(n2,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6950,221,theory(equality)]),210,theory(equality)]) ).
cnf(6966,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6951,6948,theory(equality)]) ).
cnf(6967,plain,
( n1 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6966,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6968,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n1),succ(n1))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,6967,theory(equality)]) ).
cnf(6969,plain,
( sum(sum(pred(esk5_0),succ(n1)),sum(pred(n1),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,6967,theory(equality)]) ).
cnf(6970,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n2) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6968,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(6971,plain,
( sum(sum(pred(esk5_0),n2),sum(n0,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6969,223,theory(equality)]),212,theory(equality)]) ).
cnf(6983,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6952,6948,theory(equality)]) ).
cnf(6984,plain,
( n1 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6983,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(6987,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6970,6984,theory(equality)]) ).
cnf(6990,plain,
( n4 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6987,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(6991,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n4),succ(n4))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,6990,theory(equality)]) ).
cnf(6992,plain,
( sum(sum(pred(esk7_0),succ(n4)),sum(pred(n4),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,6990,theory(equality)]) ).
cnf(6993,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n8) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6991,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(6994,plain,
( sum(sum(pred(esk7_0),n5),sum(n3,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6992,220,theory(equality)]),209,theory(equality)]) ).
cnf(6999,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6971,6984,theory(equality)]) ).
cnf(7000,plain,
( n4 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6999,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(7003,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6993,7000,theory(equality)]) ).
cnf(7006,plain,
( n5 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7003,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(7007,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n5),succ(n5))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,7006,theory(equality)]) ).
cnf(7008,plain,
( sum(sum(pred(esk9_0),succ(n5)),sum(pred(n5),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,7006,theory(equality)]) ).
cnf(7009,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n10) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7007,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(7010,plain,
( sum(sum(pred(esk9_0),n6),sum(n4,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7008,219,theory(equality)]),208,theory(equality)]) ).
cnf(7015,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6994,7000,theory(equality)]) ).
cnf(7016,plain,
( n5 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7015,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(7019,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7009,7016,theory(equality)]) ).
cnf(7022,plain,
( n9 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7019,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(7023,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n9),succ(n9))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,7022,theory(equality)]) ).
cnf(7024,plain,
( sum(sum(pred(esk11_0),succ(n9)),sum(pred(n9),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,7022,theory(equality)]) ).
cnf(7025,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n7) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7023,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(7026,plain,
( sum(sum(pred(esk11_0),n10),sum(n8,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7024,215,theory(equality)]),204,theory(equality)]) ).
cnf(7031,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7010,7016,theory(equality)]) ).
cnf(7032,plain,
( n9 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7031,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(7035,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7025,7032,theory(equality)]) ).
cnf(7038,plain,
( n3 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7035,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(7039,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n3),succ(n3))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,7038,theory(equality)]) ).
cnf(7040,plain,
( sum(sum(pred(esk13_0),succ(n3)),sum(pred(n3),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,7038,theory(equality)]) ).
cnf(7041,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n6) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7039,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(7042,plain,
( sum(sum(pred(esk13_0),n4),sum(n2,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7040,221,theory(equality)]),210,theory(equality)]) ).
cnf(7047,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7026,7032,theory(equality)]) ).
cnf(7048,plain,
( n3 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7047,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(7051,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7041,7048,theory(equality)]) ).
cnf(7054,plain,
( n1 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7051,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(7055,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n1),succ(n1))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,7054,theory(equality)]) ).
cnf(7056,plain,
( sum(sum(pred(esk15_0),succ(n1)),sum(pred(n1),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,7054,theory(equality)]) ).
cnf(7057,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n2) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7055,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(7058,plain,
( sum(sum(pred(esk15_0),n2),sum(n0,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7056,223,theory(equality)]),212,theory(equality)]) ).
cnf(7063,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7042,7048,theory(equality)]) ).
cnf(7064,plain,
( n1 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7063,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(7069,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7057,7064,theory(equality)]) ).
cnf(7072,plain,
( n4 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7069,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(7073,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n4),succ(n4))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,7072,theory(equality)]) ).
cnf(7074,plain,
( sum(sum(pred(esk17_0),succ(n4)),sum(pred(n4),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,7072,theory(equality)]) ).
cnf(7075,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n8) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7073,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(7076,plain,
( sum(sum(pred(esk17_0),n5),sum(n3,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7074,220,theory(equality)]),209,theory(equality)]) ).
cnf(7079,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7058,7064,theory(equality)]) ).
cnf(7080,plain,
( n4 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7079,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(7083,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7075,7080,theory(equality)]) ).
cnf(7086,plain,
( n5 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7083,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(7089,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n5),succ(n5))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,7086,theory(equality)]) ).
cnf(7090,plain,
( sum(sum(pred(esk19_0),succ(n5)),sum(pred(n5),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,7086,theory(equality)]) ).
cnf(7091,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n10) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7089,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(7092,plain,
( sum(sum(pred(esk19_0),n6),sum(n4,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7090,219,theory(equality)]),208,theory(equality)]) ).
cnf(7095,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7076,7080,theory(equality)]) ).
cnf(7096,plain,
( n5 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7095,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(7099,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7091,7096,theory(equality)]) ).
cnf(7102,plain,
( n9 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7099,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(7107,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7092,7096,theory(equality)]) ).
cnf(7108,plain,
( n9 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7107,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(7109,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n9 != esk22_0 ),
inference(spm,[status(thm)],[59,7108,theory(equality)]) ).
cnf(7110,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[7109,7102]) ).
cnf(7111,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n5 != esk20_0 ),
inference(spm,[status(thm)],[7110,7096,theory(equality)]) ).
cnf(7112,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[7111,7086]) ).
cnf(7113,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n4 != esk18_0 ),
inference(spm,[status(thm)],[7112,7080,theory(equality)]) ).
cnf(7116,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[7113,7072]) ).
cnf(7117,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n1 != esk16_0 ),
inference(spm,[status(thm)],[7116,7064,theory(equality)]) ).
cnf(7118,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[7117,7054]) ).
cnf(7119,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n3 != esk14_0 ),
inference(spm,[status(thm)],[7118,7048,theory(equality)]) ).
cnf(7120,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[7119,7038]) ).
cnf(7121,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n9 != esk12_0 ),
inference(spm,[status(thm)],[7120,7032,theory(equality)]) ).
cnf(7122,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[7121,7022]) ).
cnf(7123,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n5 != esk10_0 ),
inference(spm,[status(thm)],[7122,7016,theory(equality)]) ).
cnf(7124,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[7123,7006]) ).
cnf(7125,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n4 != esk8_0 ),
inference(spm,[status(thm)],[7124,7000,theory(equality)]) ).
cnf(7126,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[7125,6990]) ).
cnf(7127,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n1 != esk6_0 ),
inference(spm,[status(thm)],[7126,6984,theory(equality)]) ).
cnf(7128,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[7127,6967]) ).
cnf(7129,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n3 != esk4_0 ),
inference(spm,[status(thm)],[7128,6948,theory(equality)]) ).
cnf(7130,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[7129,6947]) ).
cnf(7141,plain,
( sum(n5,sum(pred(n9),succ(n9))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[6760,7130,theory(equality)]) ).
cnf(7142,plain,
( sum(sum(n7,succ(n9)),sum(pred(n9),n9)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[6761,7130,theory(equality)]) ).
cnf(7145,plain,
( n1 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7141,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),140,theory(equality)]) ).
cnf(7146,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7142,215,theory(equality)]),115,theory(equality)]),204,theory(equality)]),105,theory(equality)]),130,theory(equality)]) ).
cnf(7147,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n1),succ(n1))) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,7145,theory(equality)]) ).
cnf(7148,plain,
( sum(sum(pred(esk3_0),succ(n1)),sum(pred(n1),succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,7145,theory(equality)]) ).
cnf(7149,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n2) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7147,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(7150,plain,
( sum(sum(pred(esk3_0),n2),sum(n0,succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7148,223,theory(equality)]),212,theory(equality)]) ).
cnf(7164,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7149,7146,theory(equality)]) ).
cnf(7165,plain,
( n4 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7164,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(7166,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n4),succ(n4))) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,7165,theory(equality)]) ).
cnf(7167,plain,
( sum(sum(pred(esk5_0),succ(n4)),sum(pred(n4),succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,7165,theory(equality)]) ).
cnf(7168,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n8) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7166,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(7169,plain,
( sum(sum(pred(esk5_0),n5),sum(n3,succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7167,220,theory(equality)]),209,theory(equality)]) ).
cnf(7181,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7150,7146,theory(equality)]) ).
cnf(7182,plain,
( n4 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7181,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(7185,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7168,7182,theory(equality)]) ).
cnf(7188,plain,
( n5 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7185,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(7189,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n5),succ(n5))) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,7188,theory(equality)]) ).
cnf(7190,plain,
( sum(sum(pred(esk7_0),succ(n5)),sum(pred(n5),succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,7188,theory(equality)]) ).
cnf(7191,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n10) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7189,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(7192,plain,
( sum(sum(pred(esk7_0),n6),sum(n4,succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7190,219,theory(equality)]),208,theory(equality)]) ).
cnf(7197,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7169,7182,theory(equality)]) ).
cnf(7198,plain,
( n5 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7197,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(7201,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7191,7198,theory(equality)]) ).
cnf(7204,plain,
( n9 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7201,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(7205,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n9),succ(n9))) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,7204,theory(equality)]) ).
cnf(7206,plain,
( sum(sum(pred(esk9_0),succ(n9)),sum(pred(n9),succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,7204,theory(equality)]) ).
cnf(7207,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n7) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7205,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(7208,plain,
( sum(sum(pred(esk9_0),n10),sum(n8,succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7206,215,theory(equality)]),204,theory(equality)]) ).
cnf(7213,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7192,7198,theory(equality)]) ).
cnf(7214,plain,
( n9 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7213,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(7219,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7207,7214,theory(equality)]) ).
cnf(7222,plain,
( n3 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7219,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(7223,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n3),succ(n3))) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,7222,theory(equality)]) ).
cnf(7224,plain,
( sum(sum(pred(esk11_0),succ(n3)),sum(pred(n3),succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,7222,theory(equality)]) ).
cnf(7225,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n6) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7223,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(7226,plain,
( sum(sum(pred(esk11_0),n4),sum(n2,succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7224,221,theory(equality)]),210,theory(equality)]) ).
cnf(7229,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7208,7214,theory(equality)]) ).
cnf(7230,plain,
( n3 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7229,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(7233,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7225,7230,theory(equality)]) ).
cnf(7236,plain,
( n1 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7233,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(7239,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n1),succ(n1))) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,7236,theory(equality)]) ).
cnf(7240,plain,
( sum(sum(pred(esk13_0),succ(n1)),sum(pred(n1),succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,7236,theory(equality)]) ).
cnf(7241,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n2) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7239,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(7242,plain,
( sum(sum(pred(esk13_0),n2),sum(n0,succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7240,223,theory(equality)]),212,theory(equality)]) ).
cnf(7245,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7226,7230,theory(equality)]) ).
cnf(7246,plain,
( n1 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7245,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(7249,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7241,7246,theory(equality)]) ).
cnf(7252,plain,
( n4 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7249,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(7253,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n4),succ(n4))) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,7252,theory(equality)]) ).
cnf(7254,plain,
( sum(sum(pred(esk15_0),succ(n4)),sum(pred(n4),succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,7252,theory(equality)]) ).
cnf(7255,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n8) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7253,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(7256,plain,
( sum(sum(pred(esk15_0),n5),sum(n3,succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7254,220,theory(equality)]),209,theory(equality)]) ).
cnf(7261,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7242,7246,theory(equality)]) ).
cnf(7262,plain,
( n4 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7261,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(7265,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7255,7262,theory(equality)]) ).
cnf(7268,plain,
( n5 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7265,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(7269,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n5),succ(n5))) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,7268,theory(equality)]) ).
cnf(7270,plain,
( sum(sum(pred(esk17_0),succ(n5)),sum(pred(n5),succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,7268,theory(equality)]) ).
cnf(7271,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n10) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7269,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(7272,plain,
( sum(sum(pred(esk17_0),n6),sum(n4,succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7270,219,theory(equality)]),208,theory(equality)]) ).
cnf(7277,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7256,7262,theory(equality)]) ).
cnf(7278,plain,
( n5 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7277,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(7281,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7271,7278,theory(equality)]) ).
cnf(7284,plain,
( n9 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7281,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(7285,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n9),succ(n9))) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,7284,theory(equality)]) ).
cnf(7286,plain,
( sum(sum(pred(esk19_0),succ(n9)),sum(pred(n9),succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,7284,theory(equality)]) ).
cnf(7287,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n7) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7285,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(7288,plain,
( sum(sum(pred(esk19_0),n10),sum(n8,succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7286,215,theory(equality)]),204,theory(equality)]) ).
cnf(7293,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7272,7278,theory(equality)]) ).
cnf(7294,plain,
( n9 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7293,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(7297,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7287,7294,theory(equality)]) ).
cnf(7300,plain,
( n3 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7297,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(7305,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[7288,7294,theory(equality)]) ).
cnf(7306,plain,
( n3 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7305,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(7307,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n3 != esk22_0 ),
inference(spm,[status(thm)],[59,7306,theory(equality)]) ).
cnf(7310,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[7307,7300]) ).
cnf(7311,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n9 != esk20_0 ),
inference(spm,[status(thm)],[7310,7294,theory(equality)]) ).
cnf(7312,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[7311,7284]) ).
cnf(7313,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n5 != esk18_0 ),
inference(spm,[status(thm)],[7312,7278,theory(equality)]) ).
cnf(7314,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[7313,7268]) ).
cnf(7315,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n4 != esk16_0 ),
inference(spm,[status(thm)],[7314,7262,theory(equality)]) ).
cnf(7316,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[7315,7252]) ).
cnf(7317,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n1 != esk14_0 ),
inference(spm,[status(thm)],[7316,7246,theory(equality)]) ).
cnf(7318,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[7317,7236]) ).
cnf(7319,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n3 != esk12_0 ),
inference(spm,[status(thm)],[7318,7230,theory(equality)]) ).
cnf(7320,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[7319,7222]) ).
cnf(7321,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n9 != esk10_0 ),
inference(spm,[status(thm)],[7320,7214,theory(equality)]) ).
cnf(7322,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[7321,7204]) ).
cnf(7323,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n5 != esk8_0 ),
inference(spm,[status(thm)],[7322,7198,theory(equality)]) ).
cnf(7324,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[7323,7188]) ).
cnf(7325,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n4 != esk6_0 ),
inference(spm,[status(thm)],[7324,7182,theory(equality)]) ).
cnf(7326,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[7325,7165]) ).
cnf(7327,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n1 != esk4_0 ),
inference(spm,[status(thm)],[7326,7146,theory(equality)]) ).
cnf(7328,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(csr,[status(thm)],[7327,7145]) ).
cnf(7338,plain,
( sum(n5,sum(pred(n8),succ(n8))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6760,7328,theory(equality)]) ).
cnf(7339,plain,
( sum(sum(n7,succ(n8)),sum(pred(n8),n9)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6761,7328,theory(equality)]) ).
cnf(7342,plain,
( n10 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7338,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7343,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7339,216,theory(equality)]),116,theory(equality)]),205,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7344,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n10),succ(n10))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,7342,theory(equality)]) ).
cnf(7345,plain,
( sum(sum(pred(esk3_0),succ(n10)),sum(pred(n10),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,7342,theory(equality)]) ).
cnf(7346,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n9) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7344,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(7347,plain,
( sum(sum(pred(esk3_0),n0),sum(n9,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7345,214,theory(equality)]),203,theory(equality)]) ).
cnf(7361,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7346,7343,theory(equality)]) ).
cnf(7362,plain,
( n7 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7361,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7372,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n7),succ(n7))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,7362,theory(equality)]) ).
cnf(7373,plain,
( sum(sum(pred(esk5_0),succ(n7)),sum(pred(n7),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,7362,theory(equality)]) ).
cnf(7374,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n3) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7372,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(7375,plain,
( sum(sum(pred(esk5_0),n8),sum(n6,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7373,217,theory(equality)]),206,theory(equality)]) ).
cnf(7378,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7347,7343,theory(equality)]) ).
cnf(7379,plain,
( n7 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7378,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7382,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7374,7379,theory(equality)]) ).
cnf(7385,plain,
( n6 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7382,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(7386,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n6),succ(n6))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,7385,theory(equality)]) ).
cnf(7387,plain,
( sum(sum(pred(esk7_0),succ(n6)),sum(pred(n6),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,7385,theory(equality)]) ).
cnf(7388,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n1) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7386,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(7389,plain,
( sum(sum(pred(esk7_0),n7),sum(n5,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7387,218,theory(equality)]),207,theory(equality)]) ).
cnf(7394,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7375,7379,theory(equality)]) ).
cnf(7395,plain,
( n6 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7394,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(7398,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7388,7395,theory(equality)]) ).
cnf(7401,plain,
( n2 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7398,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7402,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n2),succ(n2))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,7401,theory(equality)]) ).
cnf(7403,plain,
( sum(sum(pred(esk9_0),succ(n2)),sum(pred(n2),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,7401,theory(equality)]) ).
cnf(7404,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n4) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7402,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(7405,plain,
( sum(sum(pred(esk9_0),n3),sum(n1,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7403,222,theory(equality)]),211,theory(equality)]) ).
cnf(7410,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7389,7395,theory(equality)]) ).
cnf(7411,plain,
( n2 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7410,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7414,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7404,7411,theory(equality)]) ).
cnf(7417,plain,
( n8 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7414,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(7418,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n8),succ(n8))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,7417,theory(equality)]) ).
cnf(7419,plain,
( sum(sum(pred(esk11_0),succ(n8)),sum(pred(n8),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,7417,theory(equality)]) ).
cnf(7420,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n5) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7418,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(7421,plain,
( sum(sum(pred(esk11_0),n9),sum(n7,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7419,216,theory(equality)]),205,theory(equality)]) ).
cnf(7426,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7405,7411,theory(equality)]) ).
cnf(7427,plain,
( n8 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7426,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(7430,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7420,7427,theory(equality)]) ).
cnf(7433,plain,
( n10 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7430,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7434,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n10),succ(n10))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,7433,theory(equality)]) ).
cnf(7435,plain,
( sum(sum(pred(esk13_0),succ(n10)),sum(pred(n10),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,7433,theory(equality)]) ).
cnf(7436,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n9) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7434,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(7437,plain,
( sum(sum(pred(esk13_0),n0),sum(n9,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7435,214,theory(equality)]),203,theory(equality)]) ).
cnf(7442,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7421,7427,theory(equality)]) ).
cnf(7443,plain,
( n10 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7442,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7446,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7436,7443,theory(equality)]) ).
cnf(7449,plain,
( n7 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7446,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7450,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n7),succ(n7))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,7449,theory(equality)]) ).
cnf(7451,plain,
( sum(sum(pred(esk15_0),succ(n7)),sum(pred(n7),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,7449,theory(equality)]) ).
cnf(7452,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n3) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7450,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(7453,plain,
( sum(sum(pred(esk15_0),n8),sum(n6,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7451,217,theory(equality)]),206,theory(equality)]) ).
cnf(7458,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7437,7443,theory(equality)]) ).
cnf(7459,plain,
( n7 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7458,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7462,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7452,7459,theory(equality)]) ).
cnf(7465,plain,
( n6 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7462,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(7466,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n6),succ(n6))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,7465,theory(equality)]) ).
cnf(7467,plain,
( sum(sum(pred(esk17_0),succ(n6)),sum(pred(n6),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,7465,theory(equality)]) ).
cnf(7468,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n1) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7466,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(7469,plain,
( sum(sum(pred(esk17_0),n7),sum(n5,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7467,218,theory(equality)]),207,theory(equality)]) ).
cnf(7474,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7453,7459,theory(equality)]) ).
cnf(7475,plain,
( n6 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7474,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(7478,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7468,7475,theory(equality)]) ).
cnf(7481,plain,
( n2 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7478,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7482,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n2),succ(n2))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,7481,theory(equality)]) ).
cnf(7483,plain,
( sum(sum(pred(esk19_0),succ(n2)),sum(pred(n2),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,7481,theory(equality)]) ).
cnf(7484,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n4) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7482,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(7485,plain,
( sum(sum(pred(esk19_0),n3),sum(n1,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7483,222,theory(equality)]),211,theory(equality)]) ).
cnf(7490,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7469,7475,theory(equality)]) ).
cnf(7491,plain,
( n2 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7490,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7496,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7484,7491,theory(equality)]) ).
cnf(7499,plain,
( n8 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7496,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(7502,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7485,7491,theory(equality)]) ).
cnf(7503,plain,
( n8 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7502,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(7504,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n8 != esk22_0 ),
inference(spm,[status(thm)],[59,7503,theory(equality)]) ).
cnf(7507,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[7504,7499]) ).
cnf(7508,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n2 != esk20_0 ),
inference(spm,[status(thm)],[7507,7491,theory(equality)]) ).
cnf(7509,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[7508,7481]) ).
cnf(7510,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n6 != esk18_0 ),
inference(spm,[status(thm)],[7509,7475,theory(equality)]) ).
cnf(7511,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[7510,7465]) ).
cnf(7512,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n7 != esk16_0 ),
inference(spm,[status(thm)],[7511,7459,theory(equality)]) ).
cnf(7513,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[7512,7449]) ).
cnf(7514,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n10 != esk14_0 ),
inference(spm,[status(thm)],[7513,7443,theory(equality)]) ).
cnf(7515,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[7514,7433]) ).
cnf(7516,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n8 != esk12_0 ),
inference(spm,[status(thm)],[7515,7427,theory(equality)]) ).
cnf(7517,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[7516,7417]) ).
cnf(7518,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n2 != esk10_0 ),
inference(spm,[status(thm)],[7517,7411,theory(equality)]) ).
cnf(7519,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[7518,7401]) ).
cnf(7520,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n6 != esk8_0 ),
inference(spm,[status(thm)],[7519,7395,theory(equality)]) ).
cnf(7521,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[7520,7385]) ).
cnf(7522,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n7 != esk6_0 ),
inference(spm,[status(thm)],[7521,7379,theory(equality)]) ).
cnf(7523,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[7522,7362]) ).
cnf(7524,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != esk4_0 ),
inference(spm,[status(thm)],[7523,7343,theory(equality)]) ).
cnf(7525,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[7524,7342]) ).
cnf(7534,plain,
( sum(n5,sum(pred(n7),succ(n7))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[6760,7525,theory(equality)]) ).
cnf(7535,plain,
( sum(sum(n7,succ(n7)),sum(pred(n7),n9)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[6761,7525,theory(equality)]) ).
cnf(7538,plain,
( n8 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7534,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),144,theory(equality)]) ).
cnf(7539,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7535,217,theory(equality)]),117,theory(equality)]),206,theory(equality)]),127,theory(equality)]),154,theory(equality)]) ).
cnf(7540,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n8),succ(n8))) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,7538,theory(equality)]) ).
cnf(7541,plain,
( sum(sum(pred(esk3_0),succ(n8)),sum(pred(n8),succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,7538,theory(equality)]) ).
cnf(7542,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n5) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7540,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(7543,plain,
( sum(sum(pred(esk3_0),n9),sum(n7,succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7541,216,theory(equality)]),205,theory(equality)]) ).
cnf(7557,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7542,7539,theory(equality)]) ).
cnf(7558,plain,
( n10 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7557,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7559,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n10),succ(n10))) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,7558,theory(equality)]) ).
cnf(7560,plain,
( sum(sum(pred(esk5_0),succ(n10)),sum(pred(n10),succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,7558,theory(equality)]) ).
cnf(7561,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n9) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7559,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(7562,plain,
( sum(sum(pred(esk5_0),n0),sum(n9,succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7560,214,theory(equality)]),203,theory(equality)]) ).
cnf(7574,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7543,7539,theory(equality)]) ).
cnf(7575,plain,
( n10 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7574,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7578,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7561,7575,theory(equality)]) ).
cnf(7581,plain,
( n7 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7578,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7582,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n7),succ(n7))) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,7581,theory(equality)]) ).
cnf(7583,plain,
( sum(sum(pred(esk7_0),succ(n7)),sum(pred(n7),succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,7581,theory(equality)]) ).
cnf(7584,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n3) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7582,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(7585,plain,
( sum(sum(pred(esk7_0),n8),sum(n6,succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7583,217,theory(equality)]),206,theory(equality)]) ).
cnf(7590,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7562,7575,theory(equality)]) ).
cnf(7591,plain,
( n7 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7590,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7594,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7584,7591,theory(equality)]) ).
cnf(7597,plain,
( n6 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7594,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(7598,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n6),succ(n6))) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,7597,theory(equality)]) ).
cnf(7599,plain,
( sum(sum(pred(esk9_0),succ(n6)),sum(pred(n6),succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,7597,theory(equality)]) ).
cnf(7600,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n1) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7598,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(7601,plain,
( sum(sum(pred(esk9_0),n7),sum(n5,succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7599,218,theory(equality)]),207,theory(equality)]) ).
cnf(7606,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7585,7591,theory(equality)]) ).
cnf(7607,plain,
( n6 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7606,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(7612,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7600,7607,theory(equality)]) ).
cnf(7615,plain,
( n2 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7612,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7616,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n2),succ(n2))) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,7615,theory(equality)]) ).
cnf(7617,plain,
( sum(sum(pred(esk11_0),succ(n2)),sum(pred(n2),succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,7615,theory(equality)]) ).
cnf(7618,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n4) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7616,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(7619,plain,
( sum(sum(pred(esk11_0),n3),sum(n1,succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7617,222,theory(equality)]),211,theory(equality)]) ).
cnf(7622,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7601,7607,theory(equality)]) ).
cnf(7623,plain,
( n2 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7622,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7626,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7618,7623,theory(equality)]) ).
cnf(7629,plain,
( n8 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7626,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(7632,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n8),succ(n8))) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,7629,theory(equality)]) ).
cnf(7633,plain,
( sum(sum(pred(esk13_0),succ(n8)),sum(pred(n8),succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,7629,theory(equality)]) ).
cnf(7634,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n5) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7632,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(7635,plain,
( sum(sum(pred(esk13_0),n9),sum(n7,succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7633,216,theory(equality)]),205,theory(equality)]) ).
cnf(7638,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7619,7623,theory(equality)]) ).
cnf(7639,plain,
( n8 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7638,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(7642,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7634,7639,theory(equality)]) ).
cnf(7645,plain,
( n10 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7642,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7646,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n10),succ(n10))) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,7645,theory(equality)]) ).
cnf(7647,plain,
( sum(sum(pred(esk15_0),succ(n10)),sum(pred(n10),succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,7645,theory(equality)]) ).
cnf(7648,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n9) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7646,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(7649,plain,
( sum(sum(pred(esk15_0),n0),sum(n9,succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7647,214,theory(equality)]),203,theory(equality)]) ).
cnf(7654,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7635,7639,theory(equality)]) ).
cnf(7655,plain,
( n10 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7654,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7658,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7648,7655,theory(equality)]) ).
cnf(7661,plain,
( n7 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7658,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7662,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n7),succ(n7))) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,7661,theory(equality)]) ).
cnf(7663,plain,
( sum(sum(pred(esk17_0),succ(n7)),sum(pred(n7),succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,7661,theory(equality)]) ).
cnf(7664,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n3) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7662,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(7665,plain,
( sum(sum(pred(esk17_0),n8),sum(n6,succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7663,217,theory(equality)]),206,theory(equality)]) ).
cnf(7670,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7649,7655,theory(equality)]) ).
cnf(7671,plain,
( n7 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7670,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7674,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7664,7671,theory(equality)]) ).
cnf(7677,plain,
( n6 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7674,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(7678,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n6),succ(n6))) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,7677,theory(equality)]) ).
cnf(7679,plain,
( sum(sum(pred(esk19_0),succ(n6)),sum(pred(n6),succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,7677,theory(equality)]) ).
cnf(7680,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n1) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7678,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(7681,plain,
( sum(sum(pred(esk19_0),n7),sum(n5,succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7679,218,theory(equality)]),207,theory(equality)]) ).
cnf(7686,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7665,7671,theory(equality)]) ).
cnf(7687,plain,
( n6 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7686,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(7690,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7680,7687,theory(equality)]) ).
cnf(7693,plain,
( n2 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7690,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7698,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[7681,7687,theory(equality)]) ).
cnf(7699,plain,
( n2 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7698,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7700,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n2 != esk22_0 ),
inference(spm,[status(thm)],[59,7699,theory(equality)]) ).
cnf(7703,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[7700,7693]) ).
cnf(7704,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n6 != esk20_0 ),
inference(spm,[status(thm)],[7703,7687,theory(equality)]) ).
cnf(7705,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[7704,7677]) ).
cnf(7706,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n7 != esk18_0 ),
inference(spm,[status(thm)],[7705,7671,theory(equality)]) ).
cnf(7707,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[7706,7661]) ).
cnf(7708,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n10 != esk16_0 ),
inference(spm,[status(thm)],[7707,7655,theory(equality)]) ).
cnf(7709,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[7708,7645]) ).
cnf(7710,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n8 != esk14_0 ),
inference(spm,[status(thm)],[7709,7639,theory(equality)]) ).
cnf(7711,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[7710,7629]) ).
cnf(7712,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n2 != esk12_0 ),
inference(spm,[status(thm)],[7711,7623,theory(equality)]) ).
cnf(7713,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[7712,7615]) ).
cnf(7714,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n6 != esk10_0 ),
inference(spm,[status(thm)],[7713,7607,theory(equality)]) ).
cnf(7715,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[7714,7597]) ).
cnf(7716,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n7 != esk8_0 ),
inference(spm,[status(thm)],[7715,7591,theory(equality)]) ).
cnf(7717,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[7716,7581]) ).
cnf(7718,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n10 != esk6_0 ),
inference(spm,[status(thm)],[7717,7575,theory(equality)]) ).
cnf(7719,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[7718,7558]) ).
cnf(7720,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n8 != esk4_0 ),
inference(spm,[status(thm)],[7719,7539,theory(equality)]) ).
cnf(7721,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(csr,[status(thm)],[7720,7538]) ).
cnf(7729,plain,
( sum(n5,sum(pred(n6),succ(n6))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6760,7721,theory(equality)]) ).
cnf(7730,plain,
( sum(sum(n7,succ(n6)),sum(pred(n6),n9)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6761,7721,theory(equality)]) ).
cnf(7733,plain,
( n6 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7729,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),146,theory(equality)]) ).
cnf(7734,plain,
( n6 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7730,218,theory(equality)]),118,theory(equality)]),207,theory(equality)]),138,theory(equality)]),166,theory(equality)]) ).
cnf(7735,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n6),succ(n6))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,7733,theory(equality)]) ).
cnf(7736,plain,
( sum(sum(pred(esk3_0),succ(n6)),sum(pred(n6),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,7733,theory(equality)]) ).
cnf(7737,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n1) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7735,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(7738,plain,
( sum(sum(pred(esk3_0),n7),sum(n5,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7736,218,theory(equality)]),207,theory(equality)]) ).
cnf(7752,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7737,7734,theory(equality)]) ).
cnf(7753,plain,
( n2 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7752,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7754,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n2),succ(n2))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,7753,theory(equality)]) ).
cnf(7755,plain,
( sum(sum(pred(esk5_0),succ(n2)),sum(pred(n2),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,7753,theory(equality)]) ).
cnf(7756,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n4) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7754,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(7757,plain,
( sum(sum(pred(esk5_0),n3),sum(n1,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7755,222,theory(equality)]),211,theory(equality)]) ).
cnf(7769,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7738,7734,theory(equality)]) ).
cnf(7770,plain,
( n2 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7769,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7773,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7756,7770,theory(equality)]) ).
cnf(7776,plain,
( n8 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7773,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(7777,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n8),succ(n8))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,7776,theory(equality)]) ).
cnf(7778,plain,
( sum(sum(pred(esk7_0),succ(n8)),sum(pred(n8),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,7776,theory(equality)]) ).
cnf(7779,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n5) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7777,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(7780,plain,
( sum(sum(pred(esk7_0),n9),sum(n7,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7778,216,theory(equality)]),205,theory(equality)]) ).
cnf(7785,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7757,7770,theory(equality)]) ).
cnf(7786,plain,
( n8 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7785,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(7789,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7779,7786,theory(equality)]) ).
cnf(7792,plain,
( n10 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7789,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7793,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n10),succ(n10))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,7792,theory(equality)]) ).
cnf(7794,plain,
( sum(sum(pred(esk9_0),succ(n10)),sum(pred(n10),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,7792,theory(equality)]) ).
cnf(7795,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n9) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7793,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(7796,plain,
( sum(sum(pred(esk9_0),n0),sum(n9,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7794,214,theory(equality)]),203,theory(equality)]) ).
cnf(7801,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7780,7786,theory(equality)]) ).
cnf(7802,plain,
( n10 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7801,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7805,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7795,7802,theory(equality)]) ).
cnf(7808,plain,
( n7 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7805,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7809,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n7),succ(n7))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,7808,theory(equality)]) ).
cnf(7810,plain,
( sum(sum(pred(esk11_0),succ(n7)),sum(pred(n7),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,7808,theory(equality)]) ).
cnf(7811,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n3) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7809,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(7812,plain,
( sum(sum(pred(esk11_0),n8),sum(n6,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7810,217,theory(equality)]),206,theory(equality)]) ).
cnf(7817,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7796,7802,theory(equality)]) ).
cnf(7818,plain,
( n7 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7817,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7821,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7811,7818,theory(equality)]) ).
cnf(7824,plain,
( n6 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7821,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(7825,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n6),succ(n6))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,7824,theory(equality)]) ).
cnf(7826,plain,
( sum(sum(pred(esk13_0),succ(n6)),sum(pred(n6),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,7824,theory(equality)]) ).
cnf(7827,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n1) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7825,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(7828,plain,
( sum(sum(pred(esk13_0),n7),sum(n5,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7826,218,theory(equality)]),207,theory(equality)]) ).
cnf(7833,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7812,7818,theory(equality)]) ).
cnf(7834,plain,
( n6 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7833,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(7837,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7827,7834,theory(equality)]) ).
cnf(7840,plain,
( n2 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7837,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7841,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n2),succ(n2))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,7840,theory(equality)]) ).
cnf(7842,plain,
( sum(sum(pred(esk15_0),succ(n2)),sum(pred(n2),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,7840,theory(equality)]) ).
cnf(7843,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n4) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7841,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(7844,plain,
( sum(sum(pred(esk15_0),n3),sum(n1,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7842,222,theory(equality)]),211,theory(equality)]) ).
cnf(7849,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7828,7834,theory(equality)]) ).
cnf(7850,plain,
( n2 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7849,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(7855,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7843,7850,theory(equality)]) ).
cnf(7858,plain,
( n8 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7855,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(7859,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n8),succ(n8))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,7858,theory(equality)]) ).
cnf(7860,plain,
( sum(sum(pred(esk17_0),succ(n8)),sum(pred(n8),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,7858,theory(equality)]) ).
cnf(7861,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n5) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7859,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(7862,plain,
( sum(sum(pred(esk17_0),n9),sum(n7,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7860,216,theory(equality)]),205,theory(equality)]) ).
cnf(7865,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7844,7850,theory(equality)]) ).
cnf(7866,plain,
( n8 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7865,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(7869,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7861,7866,theory(equality)]) ).
cnf(7872,plain,
( n10 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7869,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7875,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n10),succ(n10))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,7872,theory(equality)]) ).
cnf(7876,plain,
( sum(sum(pred(esk19_0),succ(n10)),sum(pred(n10),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,7872,theory(equality)]) ).
cnf(7877,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n9) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7875,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(7878,plain,
( sum(sum(pred(esk19_0),n0),sum(n9,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7876,214,theory(equality)]),203,theory(equality)]) ).
cnf(7881,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7862,7866,theory(equality)]) ).
cnf(7882,plain,
( n10 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7881,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(7885,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7877,7882,theory(equality)]) ).
cnf(7888,plain,
( n7 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7885,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7893,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[7878,7882,theory(equality)]) ).
cnf(7894,plain,
( n7 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7893,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(7895,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n7 != esk22_0 ),
inference(spm,[status(thm)],[59,7894,theory(equality)]) ).
cnf(7896,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[7895,7888]) ).
cnf(7897,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n10 != esk20_0 ),
inference(spm,[status(thm)],[7896,7882,theory(equality)]) ).
cnf(7898,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[7897,7872]) ).
cnf(7899,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n8 != esk18_0 ),
inference(spm,[status(thm)],[7898,7866,theory(equality)]) ).
cnf(7902,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[7899,7858]) ).
cnf(7903,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n2 != esk16_0 ),
inference(spm,[status(thm)],[7902,7850,theory(equality)]) ).
cnf(7904,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[7903,7840]) ).
cnf(7905,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n6 != esk14_0 ),
inference(spm,[status(thm)],[7904,7834,theory(equality)]) ).
cnf(7906,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[7905,7824]) ).
cnf(7907,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n7 != esk12_0 ),
inference(spm,[status(thm)],[7906,7818,theory(equality)]) ).
cnf(7908,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[7907,7808]) ).
cnf(7909,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n10 != esk10_0 ),
inference(spm,[status(thm)],[7908,7802,theory(equality)]) ).
cnf(7910,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[7909,7792]) ).
cnf(7911,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n8 != esk8_0 ),
inference(spm,[status(thm)],[7910,7786,theory(equality)]) ).
cnf(7912,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[7911,7776]) ).
cnf(7913,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n2 != esk6_0 ),
inference(spm,[status(thm)],[7912,7770,theory(equality)]) ).
cnf(7914,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[7913,7753]) ).
cnf(7915,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != esk4_0 ),
inference(spm,[status(thm)],[7914,7734,theory(equality)]) ).
cnf(7916,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[7915,7733]) ).
cnf(7923,plain,
( sum(n5,sum(pred(n5),succ(n5))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[6760,7916,theory(equality)]) ).
cnf(7924,plain,
( sum(sum(n7,succ(n5)),sum(pred(n5),n9)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[6761,7916,theory(equality)]) ).
cnf(7927,plain,
( n4 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7923,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),137,theory(equality)]) ).
cnf(7928,plain,
( n4 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7924,219,theory(equality)]),119,theory(equality)]),208,theory(equality)]),149,theory(equality)]),178,theory(equality)]) ).
cnf(7929,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n4),succ(n4))) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,7927,theory(equality)]) ).
cnf(7930,plain,
( sum(sum(pred(esk3_0),succ(n4)),sum(pred(n4),succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,7927,theory(equality)]) ).
cnf(7931,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n8) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7929,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(7932,plain,
( sum(sum(pred(esk3_0),n5),sum(n3,succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7930,220,theory(equality)]),209,theory(equality)]) ).
cnf(7946,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[7931,7928,theory(equality)]) ).
cnf(7947,plain,
( n5 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7946,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(7957,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n5),succ(n5))) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,7947,theory(equality)]) ).
cnf(7958,plain,
( sum(sum(pred(esk5_0),succ(n5)),sum(pred(n5),succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,7947,theory(equality)]) ).
cnf(7959,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n10) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7957,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(7960,plain,
( sum(sum(pred(esk5_0),n6),sum(n4,succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7958,219,theory(equality)]),208,theory(equality)]) ).
cnf(7963,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[7932,7928,theory(equality)]) ).
cnf(7964,plain,
( n5 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7963,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(7967,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[7959,7964,theory(equality)]) ).
cnf(7970,plain,
( n9 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7967,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(7971,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n9),succ(n9))) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,7970,theory(equality)]) ).
cnf(7972,plain,
( sum(sum(pred(esk7_0),succ(n9)),sum(pred(n9),succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,7970,theory(equality)]) ).
cnf(7973,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n7) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7971,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(7974,plain,
( sum(sum(pred(esk7_0),n10),sum(n8,succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7972,215,theory(equality)]),204,theory(equality)]) ).
cnf(7979,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[7960,7964,theory(equality)]) ).
cnf(7980,plain,
( n9 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7979,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(7983,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[7973,7980,theory(equality)]) ).
cnf(7986,plain,
( n3 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7983,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(7987,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n3),succ(n3))) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,7986,theory(equality)]) ).
cnf(7988,plain,
( sum(sum(pred(esk9_0),succ(n3)),sum(pred(n3),succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,7986,theory(equality)]) ).
cnf(7989,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n6) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7987,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(7990,plain,
( sum(sum(pred(esk9_0),n4),sum(n2,succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7988,221,theory(equality)]),210,theory(equality)]) ).
cnf(7995,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[7974,7980,theory(equality)]) ).
cnf(7996,plain,
( n3 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7995,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(7999,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[7989,7996,theory(equality)]) ).
cnf(8002,plain,
( n1 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7999,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8003,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n1),succ(n1))) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,8002,theory(equality)]) ).
cnf(8004,plain,
( sum(sum(pred(esk11_0),succ(n1)),sum(pred(n1),succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,8002,theory(equality)]) ).
cnf(8005,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n2) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8003,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(8006,plain,
( sum(sum(pred(esk11_0),n2),sum(n0,succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8004,223,theory(equality)]),212,theory(equality)]) ).
cnf(8011,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[7990,7996,theory(equality)]) ).
cnf(8012,plain,
( n1 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8011,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8015,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8005,8012,theory(equality)]) ).
cnf(8018,plain,
( n4 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8015,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(8019,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n4),succ(n4))) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,8018,theory(equality)]) ).
cnf(8020,plain,
( sum(sum(pred(esk13_0),succ(n4)),sum(pred(n4),succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,8018,theory(equality)]) ).
cnf(8021,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n8) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8019,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(8022,plain,
( sum(sum(pred(esk13_0),n5),sum(n3,succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8020,220,theory(equality)]),209,theory(equality)]) ).
cnf(8027,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8006,8012,theory(equality)]) ).
cnf(8028,plain,
( n4 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8027,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(8031,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8021,8028,theory(equality)]) ).
cnf(8034,plain,
( n5 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8031,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(8035,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n5),succ(n5))) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,8034,theory(equality)]) ).
cnf(8036,plain,
( sum(sum(pred(esk15_0),succ(n5)),sum(pred(n5),succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,8034,theory(equality)]) ).
cnf(8037,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n10) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8035,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(8038,plain,
( sum(sum(pred(esk15_0),n6),sum(n4,succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8036,219,theory(equality)]),208,theory(equality)]) ).
cnf(8043,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8022,8028,theory(equality)]) ).
cnf(8044,plain,
( n5 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8043,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(8047,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8037,8044,theory(equality)]) ).
cnf(8050,plain,
( n9 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8047,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(8051,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n9),succ(n9))) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,8050,theory(equality)]) ).
cnf(8052,plain,
( sum(sum(pred(esk17_0),succ(n9)),sum(pred(n9),succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,8050,theory(equality)]) ).
cnf(8053,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n7) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8051,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(8054,plain,
( sum(sum(pred(esk17_0),n10),sum(n8,succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8052,215,theory(equality)]),204,theory(equality)]) ).
cnf(8059,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8038,8044,theory(equality)]) ).
cnf(8060,plain,
( n9 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8059,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(8063,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8053,8060,theory(equality)]) ).
cnf(8066,plain,
( n3 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8063,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(8067,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n3),succ(n3))) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,8066,theory(equality)]) ).
cnf(8068,plain,
( sum(sum(pred(esk19_0),succ(n3)),sum(pred(n3),succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,8066,theory(equality)]) ).
cnf(8069,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n6) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8067,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(8070,plain,
( sum(sum(pred(esk19_0),n4),sum(n2,succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8068,221,theory(equality)]),210,theory(equality)]) ).
cnf(8075,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8054,8060,theory(equality)]) ).
cnf(8076,plain,
( n3 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8075,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(8081,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8069,8076,theory(equality)]) ).
cnf(8084,plain,
( n1 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8081,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8087,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8070,8076,theory(equality)]) ).
cnf(8088,plain,
( n1 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8087,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8089,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n1 != esk22_0 ),
inference(spm,[status(thm)],[59,8088,theory(equality)]) ).
cnf(8092,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[8089,8084]) ).
cnf(8093,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n3 != esk20_0 ),
inference(spm,[status(thm)],[8092,8076,theory(equality)]) ).
cnf(8094,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[8093,8066]) ).
cnf(8095,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n9 != esk18_0 ),
inference(spm,[status(thm)],[8094,8060,theory(equality)]) ).
cnf(8096,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[8095,8050]) ).
cnf(8097,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n5 != esk16_0 ),
inference(spm,[status(thm)],[8096,8044,theory(equality)]) ).
cnf(8098,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[8097,8034]) ).
cnf(8099,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n4 != esk14_0 ),
inference(spm,[status(thm)],[8098,8028,theory(equality)]) ).
cnf(8100,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[8099,8018]) ).
cnf(8101,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n1 != esk12_0 ),
inference(spm,[status(thm)],[8100,8012,theory(equality)]) ).
cnf(8102,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[8101,8002]) ).
cnf(8103,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n3 != esk10_0 ),
inference(spm,[status(thm)],[8102,7996,theory(equality)]) ).
cnf(8104,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[8103,7986]) ).
cnf(8105,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n9 != esk8_0 ),
inference(spm,[status(thm)],[8104,7980,theory(equality)]) ).
cnf(8106,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[8105,7970]) ).
cnf(8107,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n5 != esk6_0 ),
inference(spm,[status(thm)],[8106,7964,theory(equality)]) ).
cnf(8108,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[8107,7947]) ).
cnf(8109,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n4 != esk4_0 ),
inference(spm,[status(thm)],[8108,7928,theory(equality)]) ).
cnf(8110,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(csr,[status(thm)],[8109,7927]) ).
cnf(8116,plain,
( sum(n5,sum(pred(n4),succ(n4))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6760,8110,theory(equality)]) ).
cnf(8117,plain,
( sum(sum(n7,succ(n4)),sum(pred(n4),n9)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6761,8110,theory(equality)]) ).
cnf(8120,plain,
( n2 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8116,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),139,theory(equality)]) ).
cnf(8121,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8117,220,theory(equality)]),120,theory(equality)]),209,theory(equality)]),160,theory(equality)]),190,theory(equality)]) ).
cnf(8122,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n2),succ(n2))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,8120,theory(equality)]) ).
cnf(8123,plain,
( sum(sum(pred(esk3_0),succ(n2)),sum(pred(n2),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,8120,theory(equality)]) ).
cnf(8124,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n4) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8122,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(8125,plain,
( sum(sum(pred(esk3_0),n3),sum(n1,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8123,222,theory(equality)]),211,theory(equality)]) ).
cnf(8148,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8124,8121,theory(equality)]) ).
cnf(8149,plain,
( n8 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8148,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(8150,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n8),succ(n8))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,8149,theory(equality)]) ).
cnf(8151,plain,
( sum(sum(pred(esk5_0),succ(n8)),sum(pred(n8),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,8149,theory(equality)]) ).
cnf(8152,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n5) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8150,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(8153,plain,
( sum(sum(pred(esk5_0),n9),sum(n7,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8151,216,theory(equality)]),205,theory(equality)]) ).
cnf(8156,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8125,8121,theory(equality)]) ).
cnf(8157,plain,
( n8 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8156,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(8160,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8152,8157,theory(equality)]) ).
cnf(8163,plain,
( n10 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8160,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(8166,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n10),succ(n10))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,8163,theory(equality)]) ).
cnf(8167,plain,
( sum(sum(pred(esk7_0),succ(n10)),sum(pred(n10),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,8163,theory(equality)]) ).
cnf(8168,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n9) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8166,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(8169,plain,
( sum(sum(pred(esk7_0),n0),sum(n9,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8167,214,theory(equality)]),203,theory(equality)]) ).
cnf(8172,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8153,8157,theory(equality)]) ).
cnf(8173,plain,
( n10 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8172,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(8176,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8168,8173,theory(equality)]) ).
cnf(8179,plain,
( n7 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8176,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(8180,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n7),succ(n7))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,8179,theory(equality)]) ).
cnf(8181,plain,
( sum(sum(pred(esk9_0),succ(n7)),sum(pred(n7),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,8179,theory(equality)]) ).
cnf(8182,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n3) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8180,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(8183,plain,
( sum(sum(pred(esk9_0),n8),sum(n6,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8181,217,theory(equality)]),206,theory(equality)]) ).
cnf(8188,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8169,8173,theory(equality)]) ).
cnf(8189,plain,
( n7 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8188,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(8192,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8182,8189,theory(equality)]) ).
cnf(8195,plain,
( n6 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8192,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(8196,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n6),succ(n6))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,8195,theory(equality)]) ).
cnf(8197,plain,
( sum(sum(pred(esk11_0),succ(n6)),sum(pred(n6),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,8195,theory(equality)]) ).
cnf(8198,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n1) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8196,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(8199,plain,
( sum(sum(pred(esk11_0),n7),sum(n5,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8197,218,theory(equality)]),207,theory(equality)]) ).
cnf(8204,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8183,8189,theory(equality)]) ).
cnf(8205,plain,
( n6 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8204,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(8208,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8198,8205,theory(equality)]) ).
cnf(8211,plain,
( n2 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8208,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(8212,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n2),succ(n2))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,8211,theory(equality)]) ).
cnf(8213,plain,
( sum(sum(pred(esk13_0),succ(n2)),sum(pred(n2),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,8211,theory(equality)]) ).
cnf(8214,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n4) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8212,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(8215,plain,
( sum(sum(pred(esk13_0),n3),sum(n1,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8213,222,theory(equality)]),211,theory(equality)]) ).
cnf(8220,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8199,8205,theory(equality)]) ).
cnf(8221,plain,
( n2 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8220,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(8224,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8214,8221,theory(equality)]) ).
cnf(8227,plain,
( n8 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8224,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(8228,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n8),succ(n8))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,8227,theory(equality)]) ).
cnf(8229,plain,
( sum(sum(pred(esk15_0),succ(n8)),sum(pred(n8),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,8227,theory(equality)]) ).
cnf(8230,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n5) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8228,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(8231,plain,
( sum(sum(pred(esk15_0),n9),sum(n7,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8229,216,theory(equality)]),205,theory(equality)]) ).
cnf(8236,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8215,8221,theory(equality)]) ).
cnf(8237,plain,
( n8 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8236,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(8240,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8230,8237,theory(equality)]) ).
cnf(8243,plain,
( n10 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8240,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(8244,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n10),succ(n10))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,8243,theory(equality)]) ).
cnf(8245,plain,
( sum(sum(pred(esk17_0),succ(n10)),sum(pred(n10),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,8243,theory(equality)]) ).
cnf(8246,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n9) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8244,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(8247,plain,
( sum(sum(pred(esk17_0),n0),sum(n9,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8245,214,theory(equality)]),203,theory(equality)]) ).
cnf(8252,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8231,8237,theory(equality)]) ).
cnf(8253,plain,
( n10 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8252,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(8256,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8246,8253,theory(equality)]) ).
cnf(8259,plain,
( n7 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8256,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(8260,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n7),succ(n7))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,8259,theory(equality)]) ).
cnf(8261,plain,
( sum(sum(pred(esk19_0),succ(n7)),sum(pred(n7),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,8259,theory(equality)]) ).
cnf(8262,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n3) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8260,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(8263,plain,
( sum(sum(pred(esk19_0),n8),sum(n6,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8261,217,theory(equality)]),206,theory(equality)]) ).
cnf(8268,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8247,8253,theory(equality)]) ).
cnf(8269,plain,
( n7 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8268,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(8272,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8262,8269,theory(equality)]) ).
cnf(8275,plain,
( n6 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8272,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(8280,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8263,8269,theory(equality)]) ).
cnf(8281,plain,
( n6 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8280,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(8282,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n6 != esk22_0 ),
inference(spm,[status(thm)],[59,8281,theory(equality)]) ).
cnf(8285,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[8282,8275]) ).
cnf(8286,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n7 != esk20_0 ),
inference(spm,[status(thm)],[8285,8269,theory(equality)]) ).
cnf(8287,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[8286,8259]) ).
cnf(8288,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n10 != esk18_0 ),
inference(spm,[status(thm)],[8287,8253,theory(equality)]) ).
cnf(8289,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[8288,8243]) ).
cnf(8290,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n8 != esk16_0 ),
inference(spm,[status(thm)],[8289,8237,theory(equality)]) ).
cnf(8291,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[8290,8227]) ).
cnf(8292,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n2 != esk14_0 ),
inference(spm,[status(thm)],[8291,8221,theory(equality)]) ).
cnf(8293,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[8292,8211]) ).
cnf(8294,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n6 != esk12_0 ),
inference(spm,[status(thm)],[8293,8205,theory(equality)]) ).
cnf(8295,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[8294,8195]) ).
cnf(8296,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n7 != esk10_0 ),
inference(spm,[status(thm)],[8295,8189,theory(equality)]) ).
cnf(8297,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[8296,8179]) ).
cnf(8298,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n10 != esk8_0 ),
inference(spm,[status(thm)],[8297,8173,theory(equality)]) ).
cnf(8299,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[8298,8163]) ).
cnf(8300,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n8 != esk6_0 ),
inference(spm,[status(thm)],[8299,8157,theory(equality)]) ).
cnf(8301,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[8300,8149]) ).
cnf(8302,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != esk4_0 ),
inference(spm,[status(thm)],[8301,8121,theory(equality)]) ).
cnf(8303,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[8302,8120]) ).
cnf(8308,plain,
( sum(n5,sum(pred(n3),succ(n3))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6760,8303,theory(equality)]) ).
cnf(8309,plain,
( sum(sum(n7,succ(n3)),sum(pred(n3),n9)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[6761,8303,theory(equality)]) ).
cnf(8312,plain,
( n0 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8308,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),141,theory(equality)]) ).
cnf(8313,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8309,221,theory(equality)]),121,theory(equality)]),210,theory(equality)]),171,theory(equality)]),202,theory(equality)]) ).
cnf(8314,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n0),succ(n0))) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,8312,theory(equality)]) ).
cnf(8315,plain,
( sum(sum(pred(esk3_0),succ(n0)),sum(pred(n0),succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,8312,theory(equality)]) ).
cnf(8316,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n0) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8314,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(8317,plain,
( sum(sum(pred(esk3_0),n1),sum(n10,succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8315,224,theory(equality)]),213,theory(equality)]) ).
cnf(8340,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8316,8313,theory(equality)]) ).
cnf(8341,plain,
( n0 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8340,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8342,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n0),succ(n0))) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,8341,theory(equality)]) ).
cnf(8343,plain,
( sum(sum(pred(esk5_0),succ(n0)),sum(pred(n0),succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,8341,theory(equality)]) ).
cnf(8344,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n0) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8342,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(8345,plain,
( sum(sum(pred(esk5_0),n1),sum(n10,succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8343,224,theory(equality)]),213,theory(equality)]) ).
cnf(8348,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8317,8313,theory(equality)]) ).
cnf(8349,plain,
( n0 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8348,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8352,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8344,8349,theory(equality)]) ).
cnf(8355,plain,
( n0 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8352,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8358,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n0),succ(n0))) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,8355,theory(equality)]) ).
cnf(8359,plain,
( sum(sum(pred(esk7_0),succ(n0)),sum(pred(n0),succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,8355,theory(equality)]) ).
cnf(8360,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n0) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8358,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(8361,plain,
( sum(sum(pred(esk7_0),n1),sum(n10,succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8359,224,theory(equality)]),213,theory(equality)]) ).
cnf(8364,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8345,8349,theory(equality)]) ).
cnf(8365,plain,
( n0 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8364,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8368,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8360,8365,theory(equality)]) ).
cnf(8371,plain,
( n0 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8368,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8372,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n0),succ(n0))) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,8371,theory(equality)]) ).
cnf(8373,plain,
( sum(sum(pred(esk9_0),succ(n0)),sum(pred(n0),succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,8371,theory(equality)]) ).
cnf(8374,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n0) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8372,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(8375,plain,
( sum(sum(pred(esk9_0),n1),sum(n10,succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8373,224,theory(equality)]),213,theory(equality)]) ).
cnf(8380,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8361,8365,theory(equality)]) ).
cnf(8381,plain,
( n0 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8380,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8384,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8374,8381,theory(equality)]) ).
cnf(8387,plain,
( n0 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8384,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8388,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n0),succ(n0))) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,8387,theory(equality)]) ).
cnf(8389,plain,
( sum(sum(pred(esk11_0),succ(n0)),sum(pred(n0),succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,8387,theory(equality)]) ).
cnf(8390,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n0) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8388,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(8391,plain,
( sum(sum(pred(esk11_0),n1),sum(n10,succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8389,224,theory(equality)]),213,theory(equality)]) ).
cnf(8396,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8375,8381,theory(equality)]) ).
cnf(8397,plain,
( n0 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8396,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8400,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8390,8397,theory(equality)]) ).
cnf(8403,plain,
( n0 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8400,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8404,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n0),succ(n0))) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,8403,theory(equality)]) ).
cnf(8405,plain,
( sum(sum(pred(esk13_0),succ(n0)),sum(pred(n0),succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,8403,theory(equality)]) ).
cnf(8406,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n0) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8404,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(8407,plain,
( sum(sum(pred(esk13_0),n1),sum(n10,succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8405,224,theory(equality)]),213,theory(equality)]) ).
cnf(8412,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8391,8397,theory(equality)]) ).
cnf(8413,plain,
( n0 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8412,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8416,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8406,8413,theory(equality)]) ).
cnf(8419,plain,
( n0 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8416,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8420,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n0),succ(n0))) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,8419,theory(equality)]) ).
cnf(8421,plain,
( sum(sum(pred(esk15_0),succ(n0)),sum(pred(n0),succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,8419,theory(equality)]) ).
cnf(8422,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n0) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8420,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(8423,plain,
( sum(sum(pred(esk15_0),n1),sum(n10,succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8421,224,theory(equality)]),213,theory(equality)]) ).
cnf(8428,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8407,8413,theory(equality)]) ).
cnf(8429,plain,
( n0 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8428,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8432,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8422,8429,theory(equality)]) ).
cnf(8435,plain,
( n0 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8432,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8436,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n0),succ(n0))) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,8435,theory(equality)]) ).
cnf(8437,plain,
( sum(sum(pred(esk17_0),succ(n0)),sum(pred(n0),succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,8435,theory(equality)]) ).
cnf(8438,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n0) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8436,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(8439,plain,
( sum(sum(pred(esk17_0),n1),sum(n10,succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8437,224,theory(equality)]),213,theory(equality)]) ).
cnf(8444,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8423,8429,theory(equality)]) ).
cnf(8445,plain,
( n0 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8444,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8448,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8438,8445,theory(equality)]) ).
cnf(8451,plain,
( n0 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8448,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8452,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n0),succ(n0))) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,8451,theory(equality)]) ).
cnf(8453,plain,
( sum(sum(pred(esk19_0),succ(n0)),sum(pred(n0),succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,8451,theory(equality)]) ).
cnf(8454,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n0) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8452,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(8455,plain,
( sum(sum(pred(esk19_0),n1),sum(n10,succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8453,224,theory(equality)]),213,theory(equality)]) ).
cnf(8460,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8439,8445,theory(equality)]) ).
cnf(8461,plain,
( n0 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8460,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8464,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8454,8461,theory(equality)]) ).
cnf(8467,plain,
( n0 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8464,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8472,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8455,8461,theory(equality)]) ).
cnf(8473,plain,
( n0 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8472,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(8474,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n0 != esk22_0 ),
inference(spm,[status(thm)],[59,8473,theory(equality)]) ).
cnf(8477,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[8474,8467]) ).
cnf(8478,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n0 != esk20_0 ),
inference(spm,[status(thm)],[8477,8461,theory(equality)]) ).
cnf(8479,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[8478,8451]) ).
cnf(8480,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n0 != esk18_0 ),
inference(spm,[status(thm)],[8479,8445,theory(equality)]) ).
cnf(8481,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[8480,8435]) ).
cnf(8482,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n0 != esk16_0 ),
inference(spm,[status(thm)],[8481,8429,theory(equality)]) ).
cnf(8483,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[8482,8419]) ).
cnf(8484,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n0 != esk14_0 ),
inference(spm,[status(thm)],[8483,8413,theory(equality)]) ).
cnf(8485,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[8484,8403]) ).
cnf(8486,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n0 != esk12_0 ),
inference(spm,[status(thm)],[8485,8397,theory(equality)]) ).
cnf(8487,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[8486,8387]) ).
cnf(8488,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n0 != esk10_0 ),
inference(spm,[status(thm)],[8487,8381,theory(equality)]) ).
cnf(8489,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[8488,8371]) ).
cnf(8490,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n0 != esk8_0 ),
inference(spm,[status(thm)],[8489,8365,theory(equality)]) ).
cnf(8491,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[8490,8355]) ).
cnf(8492,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n0 != esk6_0 ),
inference(spm,[status(thm)],[8491,8349,theory(equality)]) ).
cnf(8493,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[8492,8341]) ).
cnf(8494,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| n0 != esk4_0 ),
inference(spm,[status(thm)],[8493,8313,theory(equality)]) ).
cnf(8495,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(csr,[status(thm)],[8494,8312]) ).
cnf(8499,plain,
( sum(n5,sum(pred(n2),succ(n2))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6760,8495,theory(equality)]) ).
cnf(8500,plain,
( sum(sum(n7,succ(n2)),sum(pred(n2),n9)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[6761,8495,theory(equality)]) ).
cnf(8503,plain,
( n9 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8499,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),143,theory(equality)]) ).
cnf(8504,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8500,222,theory(equality)]),122,theory(equality)]),211,theory(equality)]),182,theory(equality)]),82,theory(equality)]) ).
cnf(8505,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n9),succ(n9))) = esk6_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,8503,theory(equality)]) ).
cnf(8506,plain,
( sum(sum(pred(esk3_0),succ(n9)),sum(pred(n9),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,8503,theory(equality)]) ).
cnf(8507,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n7) = esk6_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8505,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(8508,plain,
( sum(sum(pred(esk3_0),n10),sum(n8,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8506,215,theory(equality)]),204,theory(equality)]) ).
cnf(8522,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8507,8504,theory(equality)]) ).
cnf(8523,plain,
( n3 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8522,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(8533,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n3),succ(n3))) = esk8_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,8523,theory(equality)]) ).
cnf(8534,plain,
( sum(sum(pred(esk5_0),succ(n3)),sum(pred(n3),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,8523,theory(equality)]) ).
cnf(8535,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n6) = esk8_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8533,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(8536,plain,
( sum(sum(pred(esk5_0),n4),sum(n2,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8534,221,theory(equality)]),210,theory(equality)]) ).
cnf(8539,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8508,8504,theory(equality)]) ).
cnf(8540,plain,
( n3 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8539,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(8543,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8535,8540,theory(equality)]) ).
cnf(8546,plain,
( n1 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8543,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8547,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n1),succ(n1))) = esk10_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,8546,theory(equality)]) ).
cnf(8548,plain,
( sum(sum(pred(esk7_0),succ(n1)),sum(pred(n1),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,8546,theory(equality)]) ).
cnf(8549,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n2) = esk10_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8547,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(8550,plain,
( sum(sum(pred(esk7_0),n2),sum(n0,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8548,223,theory(equality)]),212,theory(equality)]) ).
cnf(8555,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8536,8540,theory(equality)]) ).
cnf(8556,plain,
( n1 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8555,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8559,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8549,8556,theory(equality)]) ).
cnf(8562,plain,
( n4 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8559,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(8563,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n4),succ(n4))) = esk12_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,8562,theory(equality)]) ).
cnf(8564,plain,
( sum(sum(pred(esk9_0),succ(n4)),sum(pred(n4),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,8562,theory(equality)]) ).
cnf(8565,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n8) = esk12_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8563,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(8566,plain,
( sum(sum(pred(esk9_0),n5),sum(n3,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8564,220,theory(equality)]),209,theory(equality)]) ).
cnf(8571,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8550,8556,theory(equality)]) ).
cnf(8572,plain,
( n4 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8571,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(8575,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8565,8572,theory(equality)]) ).
cnf(8578,plain,
( n5 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8575,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(8579,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n5),succ(n5))) = esk14_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,8578,theory(equality)]) ).
cnf(8580,plain,
( sum(sum(pred(esk11_0),succ(n5)),sum(pred(n5),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,8578,theory(equality)]) ).
cnf(8581,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n10) = esk14_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8579,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(8582,plain,
( sum(sum(pred(esk11_0),n6),sum(n4,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8580,219,theory(equality)]),208,theory(equality)]) ).
cnf(8587,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8566,8572,theory(equality)]) ).
cnf(8588,plain,
( n5 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8587,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(8591,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8581,8588,theory(equality)]) ).
cnf(8594,plain,
( n9 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8591,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(8595,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n9),succ(n9))) = esk16_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,8594,theory(equality)]) ).
cnf(8596,plain,
( sum(sum(pred(esk13_0),succ(n9)),sum(pred(n9),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,8594,theory(equality)]) ).
cnf(8597,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n7) = esk16_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8595,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(8598,plain,
( sum(sum(pred(esk13_0),n10),sum(n8,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8596,215,theory(equality)]),204,theory(equality)]) ).
cnf(8603,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8582,8588,theory(equality)]) ).
cnf(8604,plain,
( n9 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8603,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(8607,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8597,8604,theory(equality)]) ).
cnf(8610,plain,
( n3 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8607,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(8611,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n3),succ(n3))) = esk18_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,8610,theory(equality)]) ).
cnf(8612,plain,
( sum(sum(pred(esk15_0),succ(n3)),sum(pred(n3),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,8610,theory(equality)]) ).
cnf(8613,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n6) = esk18_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8611,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(8614,plain,
( sum(sum(pred(esk15_0),n4),sum(n2,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8612,221,theory(equality)]),210,theory(equality)]) ).
cnf(8619,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8598,8604,theory(equality)]) ).
cnf(8620,plain,
( n3 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8619,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(8623,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8613,8620,theory(equality)]) ).
cnf(8626,plain,
( n1 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8623,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8627,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n1),succ(n1))) = esk20_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,8626,theory(equality)]) ).
cnf(8628,plain,
( sum(sum(pred(esk17_0),succ(n1)),sum(pred(n1),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,8626,theory(equality)]) ).
cnf(8629,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n2) = esk20_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8627,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(8630,plain,
( sum(sum(pred(esk17_0),n2),sum(n0,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8628,223,theory(equality)]),212,theory(equality)]) ).
cnf(8635,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8614,8620,theory(equality)]) ).
cnf(8636,plain,
( n1 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8635,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8639,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8629,8636,theory(equality)]) ).
cnf(8642,plain,
( n4 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8639,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(8643,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n4),succ(n4))) = esk22_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,8642,theory(equality)]) ).
cnf(8644,plain,
( sum(sum(pred(esk19_0),succ(n4)),sum(pred(n4),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,8642,theory(equality)]) ).
cnf(8645,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n8) = esk22_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8643,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(8646,plain,
( sum(sum(pred(esk19_0),n5),sum(n3,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8644,220,theory(equality)]),209,theory(equality)]) ).
cnf(8651,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8630,8636,theory(equality)]) ).
cnf(8652,plain,
( n4 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8651,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(8657,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8645,8652,theory(equality)]) ).
cnf(8660,plain,
( n5 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8657,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(8663,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8646,8652,theory(equality)]) ).
cnf(8664,plain,
( n5 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8663,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(8665,plain,
( esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n5 != esk22_0 ),
inference(spm,[status(thm)],[59,8664,theory(equality)]) ).
cnf(8668,plain,
( esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[8665,8660]) ).
cnf(8669,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n4 != esk20_0 ),
inference(spm,[status(thm)],[8668,8652,theory(equality)]) ).
cnf(8670,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[8669,8642]) ).
cnf(8671,plain,
( esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n1 != esk18_0 ),
inference(spm,[status(thm)],[8670,8636,theory(equality)]) ).
cnf(8672,plain,
( esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[8671,8626]) ).
cnf(8673,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n3 != esk16_0 ),
inference(spm,[status(thm)],[8672,8620,theory(equality)]) ).
cnf(8674,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[8673,8610]) ).
cnf(8675,plain,
( esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n9 != esk14_0 ),
inference(spm,[status(thm)],[8674,8604,theory(equality)]) ).
cnf(8676,plain,
( esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[8675,8594]) ).
cnf(8677,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n5 != esk12_0 ),
inference(spm,[status(thm)],[8676,8588,theory(equality)]) ).
cnf(8678,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[8677,8578]) ).
cnf(8679,plain,
( esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n4 != esk10_0 ),
inference(spm,[status(thm)],[8678,8572,theory(equality)]) ).
cnf(8680,plain,
( esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[8679,8562]) ).
cnf(8681,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n1 != esk8_0 ),
inference(spm,[status(thm)],[8680,8556,theory(equality)]) ).
cnf(8682,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[8681,8546]) ).
cnf(8683,plain,
( esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n3 != esk6_0 ),
inference(spm,[status(thm)],[8682,8540,theory(equality)]) ).
cnf(8684,plain,
( esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[8683,8523]) ).
cnf(8685,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| n9 != esk4_0 ),
inference(spm,[status(thm)],[8684,8504,theory(equality)]) ).
cnf(8686,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(csr,[status(thm)],[8685,8503]) ).
cnf(8689,plain,
( sum(n5,sum(pred(n1),succ(n1))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[6760,8686,theory(equality)]) ).
cnf(8690,plain,
( sum(sum(n7,succ(n1)),sum(pred(n1),n9)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[6761,8686,theory(equality)]) ).
cnf(8693,plain,
( n7 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8689,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),145,theory(equality)]) ).
cnf(8694,plain,
( n7 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8690,223,theory(equality)]),123,theory(equality)]),212,theory(equality)]),193,theory(equality)]),94,theory(equality)]) ).
cnf(8695,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n7),succ(n7))) = esk6_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,8693,theory(equality)]) ).
cnf(8696,plain,
( sum(sum(pred(esk3_0),succ(n7)),sum(pred(n7),succ(esk3_0))) = esk5_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,8693,theory(equality)]) ).
cnf(8697,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n3) = esk6_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8695,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(8698,plain,
( sum(sum(pred(esk3_0),n8),sum(n6,succ(esk3_0))) = esk5_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8696,217,theory(equality)]),206,theory(equality)]) ).
cnf(8712,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8697,8694,theory(equality)]) ).
cnf(8713,plain,
( n6 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8712,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(8714,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n6),succ(n6))) = esk8_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,8713,theory(equality)]) ).
cnf(8715,plain,
( sum(sum(pred(esk5_0),succ(n6)),sum(pred(n6),succ(esk5_0))) = esk7_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,8713,theory(equality)]) ).
cnf(8716,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n1) = esk8_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8714,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(8717,plain,
( sum(sum(pred(esk5_0),n7),sum(n5,succ(esk5_0))) = esk7_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8715,218,theory(equality)]),207,theory(equality)]) ).
cnf(8729,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8698,8694,theory(equality)]) ).
cnf(8730,plain,
( n6 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8729,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(8733,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8716,8730,theory(equality)]) ).
cnf(8736,plain,
( n2 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8733,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(8737,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n2),succ(n2))) = esk10_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,8736,theory(equality)]) ).
cnf(8738,plain,
( sum(sum(pred(esk7_0),succ(n2)),sum(pred(n2),succ(esk7_0))) = esk9_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,8736,theory(equality)]) ).
cnf(8739,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n4) = esk10_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8737,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(8740,plain,
( sum(sum(pred(esk7_0),n3),sum(n1,succ(esk7_0))) = esk9_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8738,222,theory(equality)]),211,theory(equality)]) ).
cnf(8745,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8717,8730,theory(equality)]) ).
cnf(8746,plain,
( n2 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8745,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(8749,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8739,8746,theory(equality)]) ).
cnf(8752,plain,
( n8 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8749,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(8753,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n8),succ(n8))) = esk12_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,8752,theory(equality)]) ).
cnf(8754,plain,
( sum(sum(pred(esk9_0),succ(n8)),sum(pred(n8),succ(esk9_0))) = esk11_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,8752,theory(equality)]) ).
cnf(8755,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n5) = esk12_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8753,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(8756,plain,
( sum(sum(pred(esk9_0),n9),sum(n7,succ(esk9_0))) = esk11_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8754,216,theory(equality)]),205,theory(equality)]) ).
cnf(8761,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8740,8746,theory(equality)]) ).
cnf(8762,plain,
( n8 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8761,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(8765,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8755,8762,theory(equality)]) ).
cnf(8768,plain,
( n10 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8765,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(8769,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n10),succ(n10))) = esk14_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,8768,theory(equality)]) ).
cnf(8770,plain,
( sum(sum(pred(esk11_0),succ(n10)),sum(pred(n10),succ(esk11_0))) = esk13_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,8768,theory(equality)]) ).
cnf(8771,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n9) = esk14_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8769,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(8772,plain,
( sum(sum(pred(esk11_0),n0),sum(n9,succ(esk11_0))) = esk13_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8770,214,theory(equality)]),203,theory(equality)]) ).
cnf(8777,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8756,8762,theory(equality)]) ).
cnf(8778,plain,
( n10 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8777,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(8781,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8771,8778,theory(equality)]) ).
cnf(8784,plain,
( n7 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8781,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(8785,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n7),succ(n7))) = esk16_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,8784,theory(equality)]) ).
cnf(8786,plain,
( sum(sum(pred(esk13_0),succ(n7)),sum(pred(n7),succ(esk13_0))) = esk15_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,8784,theory(equality)]) ).
cnf(8787,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n3) = esk16_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8785,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(8788,plain,
( sum(sum(pred(esk13_0),n8),sum(n6,succ(esk13_0))) = esk15_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8786,217,theory(equality)]),206,theory(equality)]) ).
cnf(8793,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8772,8778,theory(equality)]) ).
cnf(8794,plain,
( n7 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8793,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(8797,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8787,8794,theory(equality)]) ).
cnf(8800,plain,
( n6 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8797,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(8801,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n6),succ(n6))) = esk18_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,8800,theory(equality)]) ).
cnf(8802,plain,
( sum(sum(pred(esk15_0),succ(n6)),sum(pred(n6),succ(esk15_0))) = esk17_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,8800,theory(equality)]) ).
cnf(8803,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n1) = esk18_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8801,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(8804,plain,
( sum(sum(pred(esk15_0),n7),sum(n5,succ(esk15_0))) = esk17_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8802,218,theory(equality)]),207,theory(equality)]) ).
cnf(8809,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8788,8794,theory(equality)]) ).
cnf(8810,plain,
( n6 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8809,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(8815,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8803,8810,theory(equality)]) ).
cnf(8818,plain,
( n2 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8815,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(8819,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n2),succ(n2))) = esk20_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,8818,theory(equality)]) ).
cnf(8820,plain,
( sum(sum(pred(esk17_0),succ(n2)),sum(pred(n2),succ(esk17_0))) = esk19_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,8818,theory(equality)]) ).
cnf(8821,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n4) = esk20_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8819,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(8822,plain,
( sum(sum(pred(esk17_0),n3),sum(n1,succ(esk17_0))) = esk19_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8820,222,theory(equality)]),211,theory(equality)]) ).
cnf(8825,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8804,8810,theory(equality)]) ).
cnf(8826,plain,
( n2 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8825,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(8829,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8821,8826,theory(equality)]) ).
cnf(8832,plain,
( n8 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8829,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(8835,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n8),succ(n8))) = esk22_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,8832,theory(equality)]) ).
cnf(8836,plain,
( sum(sum(pred(esk19_0),succ(n8)),sum(pred(n8),succ(esk19_0))) = esk21_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,8832,theory(equality)]) ).
cnf(8837,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n5) = esk22_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8835,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(8838,plain,
( sum(sum(pred(esk19_0),n9),sum(n7,succ(esk19_0))) = esk21_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8836,216,theory(equality)]),205,theory(equality)]) ).
cnf(8841,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8822,8826,theory(equality)]) ).
cnf(8842,plain,
( n8 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8841,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(8845,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8837,8842,theory(equality)]) ).
cnf(8848,plain,
( n10 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8845,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(8853,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[8838,8842,theory(equality)]) ).
cnf(8854,plain,
( n10 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8853,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(8855,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n10 != esk22_0 ),
inference(spm,[status(thm)],[59,8854,theory(equality)]) ).
cnf(8856,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[8855,8848]) ).
cnf(8857,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n8 != esk20_0 ),
inference(spm,[status(thm)],[8856,8842,theory(equality)]) ).
cnf(8858,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[8857,8832]) ).
cnf(8859,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n2 != esk18_0 ),
inference(spm,[status(thm)],[8858,8826,theory(equality)]) ).
cnf(8862,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[8859,8818]) ).
cnf(8863,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n6 != esk16_0 ),
inference(spm,[status(thm)],[8862,8810,theory(equality)]) ).
cnf(8864,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[8863,8800]) ).
cnf(8865,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n7 != esk14_0 ),
inference(spm,[status(thm)],[8864,8794,theory(equality)]) ).
cnf(8866,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[8865,8784]) ).
cnf(8867,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n10 != esk12_0 ),
inference(spm,[status(thm)],[8866,8778,theory(equality)]) ).
cnf(8868,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[8867,8768]) ).
cnf(8869,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n8 != esk10_0 ),
inference(spm,[status(thm)],[8868,8762,theory(equality)]) ).
cnf(8870,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[8869,8752]) ).
cnf(8871,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n2 != esk8_0 ),
inference(spm,[status(thm)],[8870,8746,theory(equality)]) ).
cnf(8872,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[8871,8736]) ).
cnf(8873,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n6 != esk6_0 ),
inference(spm,[status(thm)],[8872,8730,theory(equality)]) ).
cnf(8874,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[8873,8713]) ).
cnf(8875,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| n7 != esk4_0 ),
inference(spm,[status(thm)],[8874,8694,theory(equality)]) ).
cnf(8876,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(csr,[status(thm)],[8875,8693]) ).
cnf(8883,plain,
( sum(sum(pred(n7),succ(n7)),sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[78,8876,theory(equality)]) ).
cnf(8884,plain,
( sum(sum(pred(n7),succ(esk2_0)),sum(pred(esk2_0),succ(n7))) = esk3_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[79,8876,theory(equality)]) ).
cnf(8885,plain,
( sum(sum(pred(n7),succ(n7)),n0) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[248,8876,theory(equality)]) ).
cnf(8886,plain,
( sum(sum(pred(n7),n1),sum(n10,succ(n7))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[252,8876,theory(equality)]) ).
cnf(8887,plain,
( sum(n3,sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8883,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(8888,plain,
( sum(sum(n6,succ(esk2_0)),sum(pred(esk2_0),n8)) = esk3_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8884,206,theory(equality)]),217,theory(equality)]) ).
cnf(8889,plain,
( n3 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8885,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),169,theory(equality)]) ).
cnf(8890,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8886,206,theory(equality)]),135,theory(equality)]),217,theory(equality)]),84,theory(equality)]),118,theory(equality)]) ).
cnf(8893,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n3),succ(n3))) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,8889,theory(equality)]) ).
cnf(8894,plain,
( sum(sum(pred(esk3_0),succ(n3)),sum(pred(n3),succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,8889,theory(equality)]) ).
cnf(8895,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n6) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8893,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(8896,plain,
( sum(sum(pred(esk3_0),n4),sum(n2,succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8894,221,theory(equality)]),210,theory(equality)]) ).
cnf(8903,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8895,8890,theory(equality)]) ).
cnf(8904,plain,
( n1 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8903,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8905,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n1),succ(n1))) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,8904,theory(equality)]) ).
cnf(8906,plain,
( sum(sum(pred(esk5_0),succ(n1)),sum(pred(n1),succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,8904,theory(equality)]) ).
cnf(8907,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n2) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8905,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(8908,plain,
( sum(sum(pred(esk5_0),n2),sum(n0,succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8906,223,theory(equality)]),212,theory(equality)]) ).
cnf(8911,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8896,8890,theory(equality)]) ).
cnf(8912,plain,
( n1 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8911,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8917,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8907,8912,theory(equality)]) ).
cnf(8920,plain,
( n4 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8917,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(8921,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n4),succ(n4))) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,8920,theory(equality)]) ).
cnf(8922,plain,
( sum(sum(pred(esk7_0),succ(n4)),sum(pred(n4),succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,8920,theory(equality)]) ).
cnf(8923,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n8) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8921,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(8924,plain,
( sum(sum(pred(esk7_0),n5),sum(n3,succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8922,220,theory(equality)]),209,theory(equality)]) ).
cnf(8927,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8908,8912,theory(equality)]) ).
cnf(8928,plain,
( n4 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8927,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(8931,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8923,8928,theory(equality)]) ).
cnf(8934,plain,
( n5 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8931,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(8937,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n5),succ(n5))) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,8934,theory(equality)]) ).
cnf(8938,plain,
( sum(sum(pred(esk9_0),succ(n5)),sum(pred(n5),succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,8934,theory(equality)]) ).
cnf(8939,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n10) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8937,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(8940,plain,
( sum(sum(pred(esk9_0),n6),sum(n4,succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8938,219,theory(equality)]),208,theory(equality)]) ).
cnf(8943,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8924,8928,theory(equality)]) ).
cnf(8944,plain,
( n5 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8943,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(8947,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8939,8944,theory(equality)]) ).
cnf(8950,plain,
( n9 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8947,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(8951,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n9),succ(n9))) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,8950,theory(equality)]) ).
cnf(8952,plain,
( sum(sum(pred(esk11_0),succ(n9)),sum(pred(n9),succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,8950,theory(equality)]) ).
cnf(8953,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n7) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8951,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(8954,plain,
( sum(sum(pred(esk11_0),n10),sum(n8,succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8952,215,theory(equality)]),204,theory(equality)]) ).
cnf(8959,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8940,8944,theory(equality)]) ).
cnf(8960,plain,
( n9 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8959,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(8963,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8953,8960,theory(equality)]) ).
cnf(8966,plain,
( n3 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8963,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(8967,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n3),succ(n3))) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,8966,theory(equality)]) ).
cnf(8968,plain,
( sum(sum(pred(esk13_0),succ(n3)),sum(pred(n3),succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,8966,theory(equality)]) ).
cnf(8969,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n6) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8967,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(8970,plain,
( sum(sum(pred(esk13_0),n4),sum(n2,succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8968,221,theory(equality)]),210,theory(equality)]) ).
cnf(8975,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8954,8960,theory(equality)]) ).
cnf(8976,plain,
( n3 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8975,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(8979,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8969,8976,theory(equality)]) ).
cnf(8982,plain,
( n1 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8979,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8983,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n1),succ(n1))) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,8982,theory(equality)]) ).
cnf(8984,plain,
( sum(sum(pred(esk15_0),succ(n1)),sum(pred(n1),succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,8982,theory(equality)]) ).
cnf(8985,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n2) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8983,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(8986,plain,
( sum(sum(pred(esk15_0),n2),sum(n0,succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[8984,223,theory(equality)]),212,theory(equality)]) ).
cnf(8991,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8970,8976,theory(equality)]) ).
cnf(8992,plain,
( n1 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8991,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(8995,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8985,8992,theory(equality)]) ).
cnf(8998,plain,
( n4 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8995,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(8999,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n4),succ(n4))) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,8998,theory(equality)]) ).
cnf(9000,plain,
( sum(sum(pred(esk17_0),succ(n4)),sum(pred(n4),succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,8998,theory(equality)]) ).
cnf(9001,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n8) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8999,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(9002,plain,
( sum(sum(pred(esk17_0),n5),sum(n3,succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9000,220,theory(equality)]),209,theory(equality)]) ).
cnf(9007,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[8986,8992,theory(equality)]) ).
cnf(9008,plain,
( n4 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9007,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(9011,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[9001,9008,theory(equality)]) ).
cnf(9014,plain,
( n5 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9011,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(9015,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n5),succ(n5))) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,9014,theory(equality)]) ).
cnf(9016,plain,
( sum(sum(pred(esk19_0),succ(n5)),sum(pred(n5),succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,9014,theory(equality)]) ).
cnf(9017,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n10) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9015,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(9018,plain,
( sum(sum(pred(esk19_0),n6),sum(n4,succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9016,219,theory(equality)]),208,theory(equality)]) ).
cnf(9023,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[9002,9008,theory(equality)]) ).
cnf(9024,plain,
( n5 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9023,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(9027,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[9017,9024,theory(equality)]) ).
cnf(9030,plain,
( n9 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9027,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(9035,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[9018,9024,theory(equality)]) ).
cnf(9036,plain,
( n9 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9035,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(9039,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n9 != esk22_0 ),
inference(spm,[status(thm)],[59,9036,theory(equality)]) ).
cnf(9040,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[9039,9030]) ).
cnf(9041,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n5 != esk20_0 ),
inference(spm,[status(thm)],[9040,9024,theory(equality)]) ).
cnf(9042,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[9041,9014]) ).
cnf(9043,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n4 != esk18_0 ),
inference(spm,[status(thm)],[9042,9008,theory(equality)]) ).
cnf(9044,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[9043,8998]) ).
cnf(9045,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n1 != esk16_0 ),
inference(spm,[status(thm)],[9044,8992,theory(equality)]) ).
cnf(9046,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[9045,8982]) ).
cnf(9047,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n3 != esk14_0 ),
inference(spm,[status(thm)],[9046,8976,theory(equality)]) ).
cnf(9048,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[9047,8966]) ).
cnf(9049,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n9 != esk12_0 ),
inference(spm,[status(thm)],[9048,8960,theory(equality)]) ).
cnf(9050,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[9049,8950]) ).
cnf(9051,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n5 != esk10_0 ),
inference(spm,[status(thm)],[9050,8944,theory(equality)]) ).
cnf(9052,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[9051,8934]) ).
cnf(9053,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n4 != esk8_0 ),
inference(spm,[status(thm)],[9052,8928,theory(equality)]) ).
cnf(9054,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[9053,8920]) ).
cnf(9055,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n1 != esk6_0 ),
inference(spm,[status(thm)],[9054,8912,theory(equality)]) ).
cnf(9056,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[9055,8904]) ).
cnf(9057,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n3 != esk4_0 ),
inference(spm,[status(thm)],[9056,8890,theory(equality)]) ).
cnf(9058,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(csr,[status(thm)],[9057,8889]) ).
cnf(9070,plain,
( sum(n3,sum(pred(n10),succ(n10))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8887,9058,theory(equality)]) ).
cnf(9071,plain,
( sum(sum(n6,succ(n10)),sum(pred(n10),n8)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8888,9058,theory(equality)]) ).
cnf(9074,plain,
( n1 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9070,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),160,theory(equality)]) ).
cnf(9075,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9071,214,theory(equality)]),136,theory(equality)]),203,theory(equality)]),95,theory(equality)]),130,theory(equality)]) ).
cnf(9076,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n1),succ(n1))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,9074,theory(equality)]) ).
cnf(9077,plain,
( sum(sum(pred(esk3_0),succ(n1)),sum(pred(n1),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,9074,theory(equality)]) ).
cnf(9078,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n2) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9076,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(9079,plain,
( sum(sum(pred(esk3_0),n2),sum(n0,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9077,223,theory(equality)]),212,theory(equality)]) ).
cnf(9092,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9078,9075,theory(equality)]) ).
cnf(9093,plain,
( n4 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9092,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(9102,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n4),succ(n4))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,9093,theory(equality)]) ).
cnf(9103,plain,
( sum(sum(pred(esk5_0),succ(n4)),sum(pred(n4),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,9093,theory(equality)]) ).
cnf(9104,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n8) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9102,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(9105,plain,
( sum(sum(pred(esk5_0),n5),sum(n3,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9103,220,theory(equality)]),209,theory(equality)]) ).
cnf(9108,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9079,9075,theory(equality)]) ).
cnf(9109,plain,
( n4 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9108,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(9112,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9104,9109,theory(equality)]) ).
cnf(9115,plain,
( n5 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9112,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(9116,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n5),succ(n5))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,9115,theory(equality)]) ).
cnf(9117,plain,
( sum(sum(pred(esk7_0),succ(n5)),sum(pred(n5),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,9115,theory(equality)]) ).
cnf(9118,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n10) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9116,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(9119,plain,
( sum(sum(pred(esk7_0),n6),sum(n4,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9117,219,theory(equality)]),208,theory(equality)]) ).
cnf(9124,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9105,9109,theory(equality)]) ).
cnf(9125,plain,
( n5 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9124,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(9128,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9118,9125,theory(equality)]) ).
cnf(9131,plain,
( n9 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9128,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(9132,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n9),succ(n9))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,9131,theory(equality)]) ).
cnf(9133,plain,
( sum(sum(pred(esk9_0),succ(n9)),sum(pred(n9),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,9131,theory(equality)]) ).
cnf(9134,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n7) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9132,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(9135,plain,
( sum(sum(pred(esk9_0),n10),sum(n8,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9133,215,theory(equality)]),204,theory(equality)]) ).
cnf(9140,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9119,9125,theory(equality)]) ).
cnf(9141,plain,
( n9 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9140,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(9144,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9134,9141,theory(equality)]) ).
cnf(9147,plain,
( n3 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9144,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(9148,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n3),succ(n3))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,9147,theory(equality)]) ).
cnf(9149,plain,
( sum(sum(pred(esk11_0),succ(n3)),sum(pred(n3),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,9147,theory(equality)]) ).
cnf(9150,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n6) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9148,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(9151,plain,
( sum(sum(pred(esk11_0),n4),sum(n2,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9149,221,theory(equality)]),210,theory(equality)]) ).
cnf(9156,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9135,9141,theory(equality)]) ).
cnf(9157,plain,
( n3 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9156,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(9160,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9150,9157,theory(equality)]) ).
cnf(9163,plain,
( n1 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9160,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(9164,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n1),succ(n1))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,9163,theory(equality)]) ).
cnf(9165,plain,
( sum(sum(pred(esk13_0),succ(n1)),sum(pred(n1),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,9163,theory(equality)]) ).
cnf(9166,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n2) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9164,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(9167,plain,
( sum(sum(pred(esk13_0),n2),sum(n0,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9165,223,theory(equality)]),212,theory(equality)]) ).
cnf(9172,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9151,9157,theory(equality)]) ).
cnf(9173,plain,
( n1 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9172,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(9176,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9166,9173,theory(equality)]) ).
cnf(9179,plain,
( n4 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9176,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(9180,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n4),succ(n4))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,9179,theory(equality)]) ).
cnf(9181,plain,
( sum(sum(pred(esk15_0),succ(n4)),sum(pred(n4),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,9179,theory(equality)]) ).
cnf(9182,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n8) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9180,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(9183,plain,
( sum(sum(pred(esk15_0),n5),sum(n3,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9181,220,theory(equality)]),209,theory(equality)]) ).
cnf(9188,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9167,9173,theory(equality)]) ).
cnf(9189,plain,
( n4 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9188,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(9192,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9182,9189,theory(equality)]) ).
cnf(9195,plain,
( n5 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9192,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(9196,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n5),succ(n5))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,9195,theory(equality)]) ).
cnf(9197,plain,
( sum(sum(pred(esk17_0),succ(n5)),sum(pred(n5),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,9195,theory(equality)]) ).
cnf(9198,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n10) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9196,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(9199,plain,
( sum(sum(pred(esk17_0),n6),sum(n4,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9197,219,theory(equality)]),208,theory(equality)]) ).
cnf(9204,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9183,9189,theory(equality)]) ).
cnf(9205,plain,
( n5 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9204,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(9208,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9198,9205,theory(equality)]) ).
cnf(9211,plain,
( n9 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9208,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(9212,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n9),succ(n9))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,9211,theory(equality)]) ).
cnf(9213,plain,
( sum(sum(pred(esk19_0),succ(n9)),sum(pred(n9),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,9211,theory(equality)]) ).
cnf(9214,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n7) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9212,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(9215,plain,
( sum(sum(pred(esk19_0),n10),sum(n8,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9213,215,theory(equality)]),204,theory(equality)]) ).
cnf(9220,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9199,9205,theory(equality)]) ).
cnf(9221,plain,
( n9 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9220,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(9226,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9214,9221,theory(equality)]) ).
cnf(9229,plain,
( n3 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9226,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(9232,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9215,9221,theory(equality)]) ).
cnf(9233,plain,
( n3 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9232,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(9234,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n3 != esk22_0 ),
inference(spm,[status(thm)],[59,9233,theory(equality)]) ).
cnf(9237,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[9234,9229]) ).
cnf(9238,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n9 != esk20_0 ),
inference(spm,[status(thm)],[9237,9221,theory(equality)]) ).
cnf(9239,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[9238,9211]) ).
cnf(9240,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n5 != esk18_0 ),
inference(spm,[status(thm)],[9239,9205,theory(equality)]) ).
cnf(9241,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[9240,9195]) ).
cnf(9242,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n4 != esk16_0 ),
inference(spm,[status(thm)],[9241,9189,theory(equality)]) ).
cnf(9243,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[9242,9179]) ).
cnf(9244,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n1 != esk14_0 ),
inference(spm,[status(thm)],[9243,9173,theory(equality)]) ).
cnf(9245,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[9244,9163]) ).
cnf(9246,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n3 != esk12_0 ),
inference(spm,[status(thm)],[9245,9157,theory(equality)]) ).
cnf(9247,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[9246,9147]) ).
cnf(9248,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n9 != esk10_0 ),
inference(spm,[status(thm)],[9247,9141,theory(equality)]) ).
cnf(9249,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[9248,9131]) ).
cnf(9250,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n5 != esk8_0 ),
inference(spm,[status(thm)],[9249,9125,theory(equality)]) ).
cnf(9251,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[9250,9115]) ).
cnf(9252,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n4 != esk6_0 ),
inference(spm,[status(thm)],[9251,9109,theory(equality)]) ).
cnf(9253,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[9252,9093]) ).
cnf(9254,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n1 != esk4_0 ),
inference(spm,[status(thm)],[9253,9075,theory(equality)]) ).
cnf(9255,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[9254,9074]) ).
cnf(9266,plain,
( sum(n3,sum(pred(n9),succ(n9))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[8887,9255,theory(equality)]) ).
cnf(9267,plain,
( sum(sum(n6,succ(n9)),sum(pred(n9),n8)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[8888,9255,theory(equality)]) ).
cnf(9270,plain,
( n10 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9266,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),162,theory(equality)]) ).
cnf(9271,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9267,215,theory(equality)]),126,theory(equality)]),204,theory(equality)]),106,theory(equality)]),142,theory(equality)]) ).
cnf(9272,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n10),succ(n10))) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,9270,theory(equality)]) ).
cnf(9273,plain,
( sum(sum(pred(esk3_0),succ(n10)),sum(pred(n10),succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,9270,theory(equality)]) ).
cnf(9274,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n9) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9272,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(9275,plain,
( sum(sum(pred(esk3_0),n0),sum(n9,succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9273,214,theory(equality)]),203,theory(equality)]) ).
cnf(9288,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9274,9271,theory(equality)]) ).
cnf(9289,plain,
( n7 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9288,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9290,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n7),succ(n7))) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,9289,theory(equality)]) ).
cnf(9291,plain,
( sum(sum(pred(esk5_0),succ(n7)),sum(pred(n7),succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,9289,theory(equality)]) ).
cnf(9292,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n3) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9290,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(9293,plain,
( sum(sum(pred(esk5_0),n8),sum(n6,succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9291,217,theory(equality)]),206,theory(equality)]) ).
cnf(9304,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9275,9271,theory(equality)]) ).
cnf(9305,plain,
( n7 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9304,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9308,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9292,9305,theory(equality)]) ).
cnf(9311,plain,
( n6 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9308,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9312,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n6),succ(n6))) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,9311,theory(equality)]) ).
cnf(9313,plain,
( sum(sum(pred(esk7_0),succ(n6)),sum(pred(n6),succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,9311,theory(equality)]) ).
cnf(9314,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n1) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9312,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(9315,plain,
( sum(sum(pred(esk7_0),n7),sum(n5,succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9313,218,theory(equality)]),207,theory(equality)]) ).
cnf(9320,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9293,9305,theory(equality)]) ).
cnf(9321,plain,
( n6 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9320,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9324,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9314,9321,theory(equality)]) ).
cnf(9327,plain,
( n2 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9324,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9328,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n2),succ(n2))) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,9327,theory(equality)]) ).
cnf(9329,plain,
( sum(sum(pred(esk9_0),succ(n2)),sum(pred(n2),succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,9327,theory(equality)]) ).
cnf(9330,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n4) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9328,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(9331,plain,
( sum(sum(pred(esk9_0),n3),sum(n1,succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9329,222,theory(equality)]),211,theory(equality)]) ).
cnf(9336,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9315,9321,theory(equality)]) ).
cnf(9337,plain,
( n2 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9336,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9340,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9330,9337,theory(equality)]) ).
cnf(9343,plain,
( n8 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9340,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(9344,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n8),succ(n8))) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,9343,theory(equality)]) ).
cnf(9345,plain,
( sum(sum(pred(esk11_0),succ(n8)),sum(pred(n8),succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,9343,theory(equality)]) ).
cnf(9346,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n5) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9344,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(9347,plain,
( sum(sum(pred(esk11_0),n9),sum(n7,succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9345,216,theory(equality)]),205,theory(equality)]) ).
cnf(9352,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9331,9337,theory(equality)]) ).
cnf(9353,plain,
( n8 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9352,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(9356,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9346,9353,theory(equality)]) ).
cnf(9359,plain,
( n10 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9356,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(9360,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n10),succ(n10))) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,9359,theory(equality)]) ).
cnf(9361,plain,
( sum(sum(pred(esk13_0),succ(n10)),sum(pred(n10),succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,9359,theory(equality)]) ).
cnf(9362,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n9) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9360,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(9363,plain,
( sum(sum(pred(esk13_0),n0),sum(n9,succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9361,214,theory(equality)]),203,theory(equality)]) ).
cnf(9368,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9347,9353,theory(equality)]) ).
cnf(9369,plain,
( n10 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9368,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(9374,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9362,9369,theory(equality)]) ).
cnf(9377,plain,
( n7 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9374,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9378,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n7),succ(n7))) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,9377,theory(equality)]) ).
cnf(9379,plain,
( sum(sum(pred(esk15_0),succ(n7)),sum(pred(n7),succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,9377,theory(equality)]) ).
cnf(9380,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n3) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9378,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(9381,plain,
( sum(sum(pred(esk15_0),n8),sum(n6,succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9379,217,theory(equality)]),206,theory(equality)]) ).
cnf(9384,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9363,9369,theory(equality)]) ).
cnf(9385,plain,
( n7 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9384,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9388,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9380,9385,theory(equality)]) ).
cnf(9391,plain,
( n6 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9388,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9394,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n6),succ(n6))) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,9391,theory(equality)]) ).
cnf(9395,plain,
( sum(sum(pred(esk17_0),succ(n6)),sum(pred(n6),succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,9391,theory(equality)]) ).
cnf(9396,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n1) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9394,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(9397,plain,
( sum(sum(pred(esk17_0),n7),sum(n5,succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9395,218,theory(equality)]),207,theory(equality)]) ).
cnf(9400,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9381,9385,theory(equality)]) ).
cnf(9401,plain,
( n6 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9400,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9404,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9396,9401,theory(equality)]) ).
cnf(9407,plain,
( n2 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9404,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9408,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n2),succ(n2))) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,9407,theory(equality)]) ).
cnf(9409,plain,
( sum(sum(pred(esk19_0),succ(n2)),sum(pred(n2),succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,9407,theory(equality)]) ).
cnf(9410,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n4) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9408,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(9411,plain,
( sum(sum(pred(esk19_0),n3),sum(n1,succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9409,222,theory(equality)]),211,theory(equality)]) ).
cnf(9416,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9397,9401,theory(equality)]) ).
cnf(9417,plain,
( n2 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9416,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9420,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9410,9417,theory(equality)]) ).
cnf(9423,plain,
( n8 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9420,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(9428,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[9411,9417,theory(equality)]) ).
cnf(9429,plain,
( n8 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9428,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(9430,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n8 != esk22_0 ),
inference(spm,[status(thm)],[59,9429,theory(equality)]) ).
cnf(9431,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[9430,9423]) ).
cnf(9432,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n2 != esk20_0 ),
inference(spm,[status(thm)],[9431,9417,theory(equality)]) ).
cnf(9433,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[9432,9407]) ).
cnf(9434,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n6 != esk18_0 ),
inference(spm,[status(thm)],[9433,9401,theory(equality)]) ).
cnf(9435,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[9434,9391]) ).
cnf(9436,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n7 != esk16_0 ),
inference(spm,[status(thm)],[9435,9385,theory(equality)]) ).
cnf(9439,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[9436,9377]) ).
cnf(9440,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n10 != esk14_0 ),
inference(spm,[status(thm)],[9439,9369,theory(equality)]) ).
cnf(9441,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[9440,9359]) ).
cnf(9442,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n8 != esk12_0 ),
inference(spm,[status(thm)],[9441,9353,theory(equality)]) ).
cnf(9443,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[9442,9343]) ).
cnf(9444,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n2 != esk10_0 ),
inference(spm,[status(thm)],[9443,9337,theory(equality)]) ).
cnf(9445,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[9444,9327]) ).
cnf(9446,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n6 != esk8_0 ),
inference(spm,[status(thm)],[9445,9321,theory(equality)]) ).
cnf(9447,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[9446,9311]) ).
cnf(9448,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n7 != esk6_0 ),
inference(spm,[status(thm)],[9447,9305,theory(equality)]) ).
cnf(9449,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[9448,9289]) ).
cnf(9450,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n10 != esk4_0 ),
inference(spm,[status(thm)],[9449,9271,theory(equality)]) ).
cnf(9451,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(csr,[status(thm)],[9450,9270]) ).
cnf(9461,plain,
( sum(n3,sum(pred(n8),succ(n8))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8887,9451,theory(equality)]) ).
cnf(9462,plain,
( sum(sum(n6,succ(n8)),sum(pred(n8),n8)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8888,9451,theory(equality)]) ).
cnf(9465,plain,
( n8 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9461,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),164,theory(equality)]) ).
cnf(9466,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9462,216,theory(equality)]),127,theory(equality)]),205,theory(equality)]),117,theory(equality)]),154,theory(equality)]) ).
cnf(9467,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n8),succ(n8))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,9465,theory(equality)]) ).
cnf(9468,plain,
( sum(sum(pred(esk3_0),succ(n8)),sum(pred(n8),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,9465,theory(equality)]) ).
cnf(9469,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n5) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9467,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(9470,plain,
( sum(sum(pred(esk3_0),n9),sum(n7,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9468,216,theory(equality)]),205,theory(equality)]) ).
cnf(9491,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9469,9466,theory(equality)]) ).
cnf(9492,plain,
( n10 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9491,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(9493,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n10),succ(n10))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,9492,theory(equality)]) ).
cnf(9494,plain,
( sum(sum(pred(esk5_0),succ(n10)),sum(pred(n10),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,9492,theory(equality)]) ).
cnf(9495,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n9) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9493,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(9496,plain,
( sum(sum(pred(esk5_0),n0),sum(n9,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9494,214,theory(equality)]),203,theory(equality)]) ).
cnf(9499,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9470,9466,theory(equality)]) ).
cnf(9500,plain,
( n10 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9499,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(9505,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9495,9500,theory(equality)]) ).
cnf(9508,plain,
( n7 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9505,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9509,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n7),succ(n7))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,9508,theory(equality)]) ).
cnf(9510,plain,
( sum(sum(pred(esk7_0),succ(n7)),sum(pred(n7),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,9508,theory(equality)]) ).
cnf(9511,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n3) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9509,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(9512,plain,
( sum(sum(pred(esk7_0),n8),sum(n6,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9510,217,theory(equality)]),206,theory(equality)]) ).
cnf(9515,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9496,9500,theory(equality)]) ).
cnf(9516,plain,
( n7 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9515,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9519,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9511,9516,theory(equality)]) ).
cnf(9522,plain,
( n6 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9519,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9525,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n6),succ(n6))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,9522,theory(equality)]) ).
cnf(9526,plain,
( sum(sum(pred(esk9_0),succ(n6)),sum(pred(n6),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,9522,theory(equality)]) ).
cnf(9527,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n1) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9525,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(9528,plain,
( sum(sum(pred(esk9_0),n7),sum(n5,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9526,218,theory(equality)]),207,theory(equality)]) ).
cnf(9531,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9512,9516,theory(equality)]) ).
cnf(9532,plain,
( n6 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9531,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9535,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9527,9532,theory(equality)]) ).
cnf(9538,plain,
( n2 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9535,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9539,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n2),succ(n2))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,9538,theory(equality)]) ).
cnf(9540,plain,
( sum(sum(pred(esk11_0),succ(n2)),sum(pred(n2),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,9538,theory(equality)]) ).
cnf(9541,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n4) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9539,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(9542,plain,
( sum(sum(pred(esk11_0),n3),sum(n1,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9540,222,theory(equality)]),211,theory(equality)]) ).
cnf(9547,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9528,9532,theory(equality)]) ).
cnf(9548,plain,
( n2 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9547,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9551,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9541,9548,theory(equality)]) ).
cnf(9554,plain,
( n8 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9551,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(9555,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n8),succ(n8))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,9554,theory(equality)]) ).
cnf(9556,plain,
( sum(sum(pred(esk13_0),succ(n8)),sum(pred(n8),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,9554,theory(equality)]) ).
cnf(9557,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n5) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9555,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(9558,plain,
( sum(sum(pred(esk13_0),n9),sum(n7,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9556,216,theory(equality)]),205,theory(equality)]) ).
cnf(9563,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9542,9548,theory(equality)]) ).
cnf(9564,plain,
( n8 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9563,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(9567,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9557,9564,theory(equality)]) ).
cnf(9570,plain,
( n10 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9567,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(9571,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n10),succ(n10))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,9570,theory(equality)]) ).
cnf(9572,plain,
( sum(sum(pred(esk15_0),succ(n10)),sum(pred(n10),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,9570,theory(equality)]) ).
cnf(9573,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n9) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9571,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(9574,plain,
( sum(sum(pred(esk15_0),n0),sum(n9,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9572,214,theory(equality)]),203,theory(equality)]) ).
cnf(9579,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9558,9564,theory(equality)]) ).
cnf(9580,plain,
( n10 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9579,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(9583,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9573,9580,theory(equality)]) ).
cnf(9586,plain,
( n7 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9583,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9587,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n7),succ(n7))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,9586,theory(equality)]) ).
cnf(9588,plain,
( sum(sum(pred(esk17_0),succ(n7)),sum(pred(n7),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,9586,theory(equality)]) ).
cnf(9589,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n3) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9587,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(9590,plain,
( sum(sum(pred(esk17_0),n8),sum(n6,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9588,217,theory(equality)]),206,theory(equality)]) ).
cnf(9595,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9574,9580,theory(equality)]) ).
cnf(9596,plain,
( n7 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9595,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9599,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9589,9596,theory(equality)]) ).
cnf(9602,plain,
( n6 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9599,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9603,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n6),succ(n6))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,9602,theory(equality)]) ).
cnf(9604,plain,
( sum(sum(pred(esk19_0),succ(n6)),sum(pred(n6),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,9602,theory(equality)]) ).
cnf(9605,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n1) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9603,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(9606,plain,
( sum(sum(pred(esk19_0),n7),sum(n5,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9604,218,theory(equality)]),207,theory(equality)]) ).
cnf(9611,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9590,9596,theory(equality)]) ).
cnf(9612,plain,
( n6 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9611,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9615,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9605,9612,theory(equality)]) ).
cnf(9618,plain,
( n2 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9615,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9623,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9606,9612,theory(equality)]) ).
cnf(9624,plain,
( n2 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9623,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9627,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n2 != esk22_0 ),
inference(spm,[status(thm)],[59,9624,theory(equality)]) ).
cnf(9628,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[9627,9618]) ).
cnf(9629,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n6 != esk20_0 ),
inference(spm,[status(thm)],[9628,9612,theory(equality)]) ).
cnf(9630,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[9629,9602]) ).
cnf(9631,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n7 != esk18_0 ),
inference(spm,[status(thm)],[9630,9596,theory(equality)]) ).
cnf(9632,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[9631,9586]) ).
cnf(9633,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n10 != esk16_0 ),
inference(spm,[status(thm)],[9632,9580,theory(equality)]) ).
cnf(9634,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[9633,9570]) ).
cnf(9635,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n8 != esk14_0 ),
inference(spm,[status(thm)],[9634,9564,theory(equality)]) ).
cnf(9636,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[9635,9554]) ).
cnf(9637,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n2 != esk12_0 ),
inference(spm,[status(thm)],[9636,9548,theory(equality)]) ).
cnf(9638,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[9637,9538]) ).
cnf(9639,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n6 != esk10_0 ),
inference(spm,[status(thm)],[9638,9532,theory(equality)]) ).
cnf(9640,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[9639,9522]) ).
cnf(9641,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n7 != esk8_0 ),
inference(spm,[status(thm)],[9640,9516,theory(equality)]) ).
cnf(9642,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[9641,9508]) ).
cnf(9643,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n10 != esk6_0 ),
inference(spm,[status(thm)],[9642,9500,theory(equality)]) ).
cnf(9644,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[9643,9492]) ).
cnf(9645,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n8 != esk4_0 ),
inference(spm,[status(thm)],[9644,9466,theory(equality)]) ).
cnf(9646,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[9645,9465]) ).
cnf(9655,plain,
( sum(n3,sum(pred(n7),succ(n7))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[8887,9646,theory(equality)]) ).
cnf(9656,plain,
( sum(sum(n6,succ(n7)),sum(pred(n7),n8)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[8888,9646,theory(equality)]) ).
cnf(9659,plain,
( n6 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9655,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9660,plain,
( n6 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9656,217,theory(equality)]),128,theory(equality)]),206,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9661,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n6),succ(n6))) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,9659,theory(equality)]) ).
cnf(9662,plain,
( sum(sum(pred(esk3_0),succ(n6)),sum(pred(n6),succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,9659,theory(equality)]) ).
cnf(9663,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n1) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9661,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(9664,plain,
( sum(sum(pred(esk3_0),n7),sum(n5,succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9662,218,theory(equality)]),207,theory(equality)]) ).
cnf(9677,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9663,9660,theory(equality)]) ).
cnf(9678,plain,
( n2 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9677,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9679,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n2),succ(n2))) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,9678,theory(equality)]) ).
cnf(9680,plain,
( sum(sum(pred(esk5_0),succ(n2)),sum(pred(n2),succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,9678,theory(equality)]) ).
cnf(9681,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n4) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9679,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(9682,plain,
( sum(sum(pred(esk5_0),n3),sum(n1,succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9680,222,theory(equality)]),211,theory(equality)]) ).
cnf(9693,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9664,9660,theory(equality)]) ).
cnf(9694,plain,
( n2 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9693,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9697,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9681,9694,theory(equality)]) ).
cnf(9700,plain,
( n8 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9697,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(9701,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n8),succ(n8))) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,9700,theory(equality)]) ).
cnf(9702,plain,
( sum(sum(pred(esk7_0),succ(n8)),sum(pred(n8),succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,9700,theory(equality)]) ).
cnf(9703,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n5) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9701,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(9704,plain,
( sum(sum(pred(esk7_0),n9),sum(n7,succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9702,216,theory(equality)]),205,theory(equality)]) ).
cnf(9709,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9682,9694,theory(equality)]) ).
cnf(9710,plain,
( n8 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9709,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(9713,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9703,9710,theory(equality)]) ).
cnf(9716,plain,
( n10 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9713,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(9717,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n10),succ(n10))) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,9716,theory(equality)]) ).
cnf(9718,plain,
( sum(sum(pred(esk9_0),succ(n10)),sum(pred(n10),succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,9716,theory(equality)]) ).
cnf(9719,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n9) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9717,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(9720,plain,
( sum(sum(pred(esk9_0),n0),sum(n9,succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9718,214,theory(equality)]),203,theory(equality)]) ).
cnf(9725,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9704,9710,theory(equality)]) ).
cnf(9726,plain,
( n10 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9725,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(9729,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9719,9726,theory(equality)]) ).
cnf(9732,plain,
( n7 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9729,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9733,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n7),succ(n7))) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,9732,theory(equality)]) ).
cnf(9734,plain,
( sum(sum(pred(esk11_0),succ(n7)),sum(pred(n7),succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,9732,theory(equality)]) ).
cnf(9735,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n3) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9733,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(9736,plain,
( sum(sum(pred(esk11_0),n8),sum(n6,succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9734,217,theory(equality)]),206,theory(equality)]) ).
cnf(9741,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9720,9726,theory(equality)]) ).
cnf(9742,plain,
( n7 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9741,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9745,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9735,9742,theory(equality)]) ).
cnf(9748,plain,
( n6 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9745,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9749,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n6),succ(n6))) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,9748,theory(equality)]) ).
cnf(9750,plain,
( sum(sum(pred(esk13_0),succ(n6)),sum(pred(n6),succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,9748,theory(equality)]) ).
cnf(9751,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n1) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9749,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(9752,plain,
( sum(sum(pred(esk13_0),n7),sum(n5,succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9750,218,theory(equality)]),207,theory(equality)]) ).
cnf(9757,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9736,9742,theory(equality)]) ).
cnf(9758,plain,
( n6 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9757,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(9763,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9751,9758,theory(equality)]) ).
cnf(9766,plain,
( n2 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9763,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9767,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n2),succ(n2))) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,9766,theory(equality)]) ).
cnf(9768,plain,
( sum(sum(pred(esk15_0),succ(n2)),sum(pred(n2),succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,9766,theory(equality)]) ).
cnf(9769,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n4) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9767,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(9770,plain,
( sum(sum(pred(esk15_0),n3),sum(n1,succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9768,222,theory(equality)]),211,theory(equality)]) ).
cnf(9773,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9752,9758,theory(equality)]) ).
cnf(9774,plain,
( n2 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9773,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(9777,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9769,9774,theory(equality)]) ).
cnf(9780,plain,
( n8 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9777,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(9783,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n8),succ(n8))) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,9780,theory(equality)]) ).
cnf(9784,plain,
( sum(sum(pred(esk17_0),succ(n8)),sum(pred(n8),succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,9780,theory(equality)]) ).
cnf(9785,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n5) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9783,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(9786,plain,
( sum(sum(pred(esk17_0),n9),sum(n7,succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9784,216,theory(equality)]),205,theory(equality)]) ).
cnf(9789,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9770,9774,theory(equality)]) ).
cnf(9790,plain,
( n8 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9789,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(9793,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9785,9790,theory(equality)]) ).
cnf(9796,plain,
( n10 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9793,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(9797,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n10),succ(n10))) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,9796,theory(equality)]) ).
cnf(9798,plain,
( sum(sum(pred(esk19_0),succ(n10)),sum(pred(n10),succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,9796,theory(equality)]) ).
cnf(9799,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n9) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9797,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(9800,plain,
( sum(sum(pred(esk19_0),n0),sum(n9,succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9798,214,theory(equality)]),203,theory(equality)]) ).
cnf(9805,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9786,9790,theory(equality)]) ).
cnf(9806,plain,
( n10 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9805,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(9809,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9799,9806,theory(equality)]) ).
cnf(9812,plain,
( n7 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9809,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9817,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[9800,9806,theory(equality)]) ).
cnf(9818,plain,
( n7 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9817,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(9819,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n7 != esk22_0 ),
inference(spm,[status(thm)],[59,9818,theory(equality)]) ).
cnf(9820,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[9819,9812]) ).
cnf(9821,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n10 != esk20_0 ),
inference(spm,[status(thm)],[9820,9806,theory(equality)]) ).
cnf(9822,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[9821,9796]) ).
cnf(9823,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n8 != esk18_0 ),
inference(spm,[status(thm)],[9822,9790,theory(equality)]) ).
cnf(9824,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[9823,9780]) ).
cnf(9825,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n2 != esk16_0 ),
inference(spm,[status(thm)],[9824,9774,theory(equality)]) ).
cnf(9828,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[9825,9766]) ).
cnf(9829,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n6 != esk14_0 ),
inference(spm,[status(thm)],[9828,9758,theory(equality)]) ).
cnf(9830,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[9829,9748]) ).
cnf(9831,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n7 != esk12_0 ),
inference(spm,[status(thm)],[9830,9742,theory(equality)]) ).
cnf(9832,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[9831,9732]) ).
cnf(9833,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n10 != esk10_0 ),
inference(spm,[status(thm)],[9832,9726,theory(equality)]) ).
cnf(9834,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[9833,9716]) ).
cnf(9835,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n8 != esk8_0 ),
inference(spm,[status(thm)],[9834,9710,theory(equality)]) ).
cnf(9836,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[9835,9700]) ).
cnf(9837,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n2 != esk6_0 ),
inference(spm,[status(thm)],[9836,9694,theory(equality)]) ).
cnf(9838,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[9837,9678]) ).
cnf(9839,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n6 != esk4_0 ),
inference(spm,[status(thm)],[9838,9660,theory(equality)]) ).
cnf(9840,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(csr,[status(thm)],[9839,9659]) ).
cnf(9848,plain,
( sum(n3,sum(pred(n6),succ(n6))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8887,9840,theory(equality)]) ).
cnf(9849,plain,
( sum(sum(n6,succ(n6)),sum(pred(n6),n8)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8888,9840,theory(equality)]) ).
cnf(9852,plain,
( n4 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9848,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),168,theory(equality)]) ).
cnf(9853,plain,
( n4 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9849,218,theory(equality)]),129,theory(equality)]),207,theory(equality)]),139,theory(equality)]),178,theory(equality)]) ).
cnf(9854,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n4),succ(n4))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,9852,theory(equality)]) ).
cnf(9855,plain,
( sum(sum(pred(esk3_0),succ(n4)),sum(pred(n4),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,9852,theory(equality)]) ).
cnf(9856,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n8) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9854,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(9857,plain,
( sum(sum(pred(esk3_0),n5),sum(n3,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9855,220,theory(equality)]),209,theory(equality)]) ).
cnf(9870,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9856,9853,theory(equality)]) ).
cnf(9871,plain,
( n5 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9870,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(9880,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n5),succ(n5))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,9871,theory(equality)]) ).
cnf(9881,plain,
( sum(sum(pred(esk5_0),succ(n5)),sum(pred(n5),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,9871,theory(equality)]) ).
cnf(9882,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n10) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9880,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(9883,plain,
( sum(sum(pred(esk5_0),n6),sum(n4,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9881,219,theory(equality)]),208,theory(equality)]) ).
cnf(9886,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9857,9853,theory(equality)]) ).
cnf(9887,plain,
( n5 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9886,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(9890,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9882,9887,theory(equality)]) ).
cnf(9893,plain,
( n9 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9890,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(9894,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n9),succ(n9))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,9893,theory(equality)]) ).
cnf(9895,plain,
( sum(sum(pred(esk7_0),succ(n9)),sum(pred(n9),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,9893,theory(equality)]) ).
cnf(9896,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n7) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9894,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(9897,plain,
( sum(sum(pred(esk7_0),n10),sum(n8,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9895,215,theory(equality)]),204,theory(equality)]) ).
cnf(9902,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9883,9887,theory(equality)]) ).
cnf(9903,plain,
( n9 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9902,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(9906,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9896,9903,theory(equality)]) ).
cnf(9909,plain,
( n3 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9906,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(9910,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n3),succ(n3))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,9909,theory(equality)]) ).
cnf(9911,plain,
( sum(sum(pred(esk9_0),succ(n3)),sum(pred(n3),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,9909,theory(equality)]) ).
cnf(9912,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n6) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9910,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(9913,plain,
( sum(sum(pred(esk9_0),n4),sum(n2,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9911,221,theory(equality)]),210,theory(equality)]) ).
cnf(9918,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9897,9903,theory(equality)]) ).
cnf(9919,plain,
( n3 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9918,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(9922,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9912,9919,theory(equality)]) ).
cnf(9925,plain,
( n1 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9922,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(9926,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n1),succ(n1))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,9925,theory(equality)]) ).
cnf(9927,plain,
( sum(sum(pred(esk11_0),succ(n1)),sum(pred(n1),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,9925,theory(equality)]) ).
cnf(9928,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n2) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9926,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(9929,plain,
( sum(sum(pred(esk11_0),n2),sum(n0,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9927,223,theory(equality)]),212,theory(equality)]) ).
cnf(9934,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9913,9919,theory(equality)]) ).
cnf(9935,plain,
( n1 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9934,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(9938,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9928,9935,theory(equality)]) ).
cnf(9941,plain,
( n4 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9938,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(9942,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n4),succ(n4))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,9941,theory(equality)]) ).
cnf(9943,plain,
( sum(sum(pred(esk13_0),succ(n4)),sum(pred(n4),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,9941,theory(equality)]) ).
cnf(9944,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n8) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9942,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(9945,plain,
( sum(sum(pred(esk13_0),n5),sum(n3,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9943,220,theory(equality)]),209,theory(equality)]) ).
cnf(9950,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9929,9935,theory(equality)]) ).
cnf(9951,plain,
( n4 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9950,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(9954,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9944,9951,theory(equality)]) ).
cnf(9957,plain,
( n5 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9954,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(9958,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n5),succ(n5))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,9957,theory(equality)]) ).
cnf(9959,plain,
( sum(sum(pred(esk15_0),succ(n5)),sum(pred(n5),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,9957,theory(equality)]) ).
cnf(9960,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n10) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9958,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(9961,plain,
( sum(sum(pred(esk15_0),n6),sum(n4,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9959,219,theory(equality)]),208,theory(equality)]) ).
cnf(9966,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9945,9951,theory(equality)]) ).
cnf(9967,plain,
( n5 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9966,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(9970,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9960,9967,theory(equality)]) ).
cnf(9973,plain,
( n9 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9970,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(9974,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n9),succ(n9))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,9973,theory(equality)]) ).
cnf(9975,plain,
( sum(sum(pred(esk17_0),succ(n9)),sum(pred(n9),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,9973,theory(equality)]) ).
cnf(9976,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n7) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9974,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(9977,plain,
( sum(sum(pred(esk17_0),n10),sum(n8,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9975,215,theory(equality)]),204,theory(equality)]) ).
cnf(9982,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9961,9967,theory(equality)]) ).
cnf(9983,plain,
( n9 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9982,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(9986,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9976,9983,theory(equality)]) ).
cnf(9989,plain,
( n3 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9986,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(9990,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n3),succ(n3))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,9989,theory(equality)]) ).
cnf(9991,plain,
( sum(sum(pred(esk19_0),succ(n3)),sum(pred(n3),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,9989,theory(equality)]) ).
cnf(9992,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n6) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9990,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(9993,plain,
( sum(sum(pred(esk19_0),n4),sum(n2,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[9991,221,theory(equality)]),210,theory(equality)]) ).
cnf(9998,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9977,9983,theory(equality)]) ).
cnf(9999,plain,
( n3 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9998,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(10004,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9992,9999,theory(equality)]) ).
cnf(10007,plain,
( n1 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10004,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(10010,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[9993,9999,theory(equality)]) ).
cnf(10011,plain,
( n1 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10010,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(10012,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n1 != esk22_0 ),
inference(spm,[status(thm)],[59,10011,theory(equality)]) ).
cnf(10015,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[10012,10007]) ).
cnf(10016,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n3 != esk20_0 ),
inference(spm,[status(thm)],[10015,9999,theory(equality)]) ).
cnf(10017,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[10016,9989]) ).
cnf(10018,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n9 != esk18_0 ),
inference(spm,[status(thm)],[10017,9983,theory(equality)]) ).
cnf(10019,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[10018,9973]) ).
cnf(10020,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n5 != esk16_0 ),
inference(spm,[status(thm)],[10019,9967,theory(equality)]) ).
cnf(10021,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[10020,9957]) ).
cnf(10022,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n4 != esk14_0 ),
inference(spm,[status(thm)],[10021,9951,theory(equality)]) ).
cnf(10023,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[10022,9941]) ).
cnf(10024,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n1 != esk12_0 ),
inference(spm,[status(thm)],[10023,9935,theory(equality)]) ).
cnf(10025,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[10024,9925]) ).
cnf(10026,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n3 != esk10_0 ),
inference(spm,[status(thm)],[10025,9919,theory(equality)]) ).
cnf(10027,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[10026,9909]) ).
cnf(10028,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n9 != esk8_0 ),
inference(spm,[status(thm)],[10027,9903,theory(equality)]) ).
cnf(10029,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[10028,9893]) ).
cnf(10030,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n5 != esk6_0 ),
inference(spm,[status(thm)],[10029,9887,theory(equality)]) ).
cnf(10031,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[10030,9871]) ).
cnf(10032,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n4 != esk4_0 ),
inference(spm,[status(thm)],[10031,9853,theory(equality)]) ).
cnf(10033,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[10032,9852]) ).
cnf(10040,plain,
( sum(n3,sum(pred(n5),succ(n5))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8887,10033,theory(equality)]) ).
cnf(10041,plain,
( sum(sum(n6,succ(n5)),sum(pred(n5),n8)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[8888,10033,theory(equality)]) ).
cnf(10044,plain,
( n2 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10040,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),159,theory(equality)]) ).
cnf(10045,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10041,219,theory(equality)]),130,theory(equality)]),208,theory(equality)]),150,theory(equality)]),190,theory(equality)]) ).
cnf(10046,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n2),succ(n2))) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,10044,theory(equality)]) ).
cnf(10047,plain,
( sum(sum(pred(esk3_0),succ(n2)),sum(pred(n2),succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,10044,theory(equality)]) ).
cnf(10048,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n4) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10046,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(10049,plain,
( sum(sum(pred(esk3_0),n3),sum(n1,succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10047,222,theory(equality)]),211,theory(equality)]) ).
cnf(10070,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10048,10045,theory(equality)]) ).
cnf(10071,plain,
( n8 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10070,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(10072,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n8),succ(n8))) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,10071,theory(equality)]) ).
cnf(10073,plain,
( sum(sum(pred(esk5_0),succ(n8)),sum(pred(n8),succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,10071,theory(equality)]) ).
cnf(10074,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n5) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10072,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(10075,plain,
( sum(sum(pred(esk5_0),n9),sum(n7,succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10073,216,theory(equality)]),205,theory(equality)]) ).
cnf(10078,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10049,10045,theory(equality)]) ).
cnf(10079,plain,
( n8 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10078,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(10084,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10074,10079,theory(equality)]) ).
cnf(10087,plain,
( n10 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10084,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(10088,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n10),succ(n10))) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,10087,theory(equality)]) ).
cnf(10089,plain,
( sum(sum(pred(esk7_0),succ(n10)),sum(pred(n10),succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,10087,theory(equality)]) ).
cnf(10090,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n9) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10088,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(10091,plain,
( sum(sum(pred(esk7_0),n0),sum(n9,succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10089,214,theory(equality)]),203,theory(equality)]) ).
cnf(10094,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10075,10079,theory(equality)]) ).
cnf(10095,plain,
( n10 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10094,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(10098,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10090,10095,theory(equality)]) ).
cnf(10101,plain,
( n7 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10098,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(10104,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n7),succ(n7))) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,10101,theory(equality)]) ).
cnf(10105,plain,
( sum(sum(pred(esk9_0),succ(n7)),sum(pred(n7),succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,10101,theory(equality)]) ).
cnf(10106,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n3) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10104,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(10107,plain,
( sum(sum(pred(esk9_0),n8),sum(n6,succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10105,217,theory(equality)]),206,theory(equality)]) ).
cnf(10110,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10091,10095,theory(equality)]) ).
cnf(10111,plain,
( n7 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10110,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(10114,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10106,10111,theory(equality)]) ).
cnf(10117,plain,
( n6 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10114,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(10118,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n6),succ(n6))) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,10117,theory(equality)]) ).
cnf(10119,plain,
( sum(sum(pred(esk11_0),succ(n6)),sum(pred(n6),succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,10117,theory(equality)]) ).
cnf(10120,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n1) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10118,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(10121,plain,
( sum(sum(pred(esk11_0),n7),sum(n5,succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10119,218,theory(equality)]),207,theory(equality)]) ).
cnf(10126,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10107,10111,theory(equality)]) ).
cnf(10127,plain,
( n6 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10126,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(10130,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10120,10127,theory(equality)]) ).
cnf(10133,plain,
( n2 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10130,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(10134,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n2),succ(n2))) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,10133,theory(equality)]) ).
cnf(10135,plain,
( sum(sum(pred(esk13_0),succ(n2)),sum(pred(n2),succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,10133,theory(equality)]) ).
cnf(10136,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n4) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10134,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(10137,plain,
( sum(sum(pred(esk13_0),n3),sum(n1,succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10135,222,theory(equality)]),211,theory(equality)]) ).
cnf(10142,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10121,10127,theory(equality)]) ).
cnf(10143,plain,
( n2 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10142,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(10146,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10136,10143,theory(equality)]) ).
cnf(10149,plain,
( n8 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10146,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(10150,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n8),succ(n8))) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,10149,theory(equality)]) ).
cnf(10151,plain,
( sum(sum(pred(esk15_0),succ(n8)),sum(pred(n8),succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,10149,theory(equality)]) ).
cnf(10152,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n5) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10150,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(10153,plain,
( sum(sum(pred(esk15_0),n9),sum(n7,succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10151,216,theory(equality)]),205,theory(equality)]) ).
cnf(10158,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10137,10143,theory(equality)]) ).
cnf(10159,plain,
( n8 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10158,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(10162,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10152,10159,theory(equality)]) ).
cnf(10165,plain,
( n10 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10162,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(10166,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n10),succ(n10))) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,10165,theory(equality)]) ).
cnf(10167,plain,
( sum(sum(pred(esk17_0),succ(n10)),sum(pred(n10),succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,10165,theory(equality)]) ).
cnf(10168,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n9) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10166,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(10169,plain,
( sum(sum(pred(esk17_0),n0),sum(n9,succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10167,214,theory(equality)]),203,theory(equality)]) ).
cnf(10174,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10153,10159,theory(equality)]) ).
cnf(10175,plain,
( n10 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10174,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(10178,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10168,10175,theory(equality)]) ).
cnf(10181,plain,
( n7 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10178,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(10182,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n7),succ(n7))) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,10181,theory(equality)]) ).
cnf(10183,plain,
( sum(sum(pred(esk19_0),succ(n7)),sum(pred(n7),succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,10181,theory(equality)]) ).
cnf(10184,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n3) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10182,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(10185,plain,
( sum(sum(pred(esk19_0),n8),sum(n6,succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10183,217,theory(equality)]),206,theory(equality)]) ).
cnf(10190,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10169,10175,theory(equality)]) ).
cnf(10191,plain,
( n7 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10190,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(10194,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10184,10191,theory(equality)]) ).
cnf(10197,plain,
( n6 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10194,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(10202,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10185,10191,theory(equality)]) ).
cnf(10203,plain,
( n6 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10202,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(10206,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n6 != esk22_0 ),
inference(spm,[status(thm)],[59,10203,theory(equality)]) ).
cnf(10207,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[10206,10197]) ).
cnf(10208,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n7 != esk20_0 ),
inference(spm,[status(thm)],[10207,10191,theory(equality)]) ).
cnf(10209,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[10208,10181]) ).
cnf(10210,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n10 != esk18_0 ),
inference(spm,[status(thm)],[10209,10175,theory(equality)]) ).
cnf(10211,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[10210,10165]) ).
cnf(10212,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n8 != esk16_0 ),
inference(spm,[status(thm)],[10211,10159,theory(equality)]) ).
cnf(10213,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[10212,10149]) ).
cnf(10214,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n2 != esk14_0 ),
inference(spm,[status(thm)],[10213,10143,theory(equality)]) ).
cnf(10215,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[10214,10133]) ).
cnf(10216,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n6 != esk12_0 ),
inference(spm,[status(thm)],[10215,10127,theory(equality)]) ).
cnf(10217,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[10216,10117]) ).
cnf(10218,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n7 != esk10_0 ),
inference(spm,[status(thm)],[10217,10111,theory(equality)]) ).
cnf(10219,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[10218,10101]) ).
cnf(10220,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n10 != esk8_0 ),
inference(spm,[status(thm)],[10219,10095,theory(equality)]) ).
cnf(10221,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[10220,10087]) ).
cnf(10222,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n8 != esk6_0 ),
inference(spm,[status(thm)],[10221,10079,theory(equality)]) ).
cnf(10223,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[10222,10071]) ).
cnf(10224,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n2 != esk4_0 ),
inference(spm,[status(thm)],[10223,10045,theory(equality)]) ).
cnf(10225,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(csr,[status(thm)],[10224,10044]) ).
cnf(10231,plain,
( sum(n3,sum(pred(n4),succ(n4))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8887,10225,theory(equality)]) ).
cnf(10232,plain,
( sum(sum(n6,succ(n4)),sum(pred(n4),n8)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8888,10225,theory(equality)]) ).
cnf(10235,plain,
( n0 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10231,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),161,theory(equality)]) ).
cnf(10236,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10232,220,theory(equality)]),131,theory(equality)]),209,theory(equality)]),161,theory(equality)]),202,theory(equality)]) ).
cnf(10237,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n0),succ(n0))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,10235,theory(equality)]) ).
cnf(10238,plain,
( sum(sum(pred(esk3_0),succ(n0)),sum(pred(n0),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,10235,theory(equality)]) ).
cnf(10239,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n0) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10237,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(10240,plain,
( sum(sum(pred(esk3_0),n1),sum(n10,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10238,224,theory(equality)]),213,theory(equality)]) ).
cnf(10253,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10239,10236,theory(equality)]) ).
cnf(10254,plain,
( n0 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10253,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10255,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n0),succ(n0))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,10254,theory(equality)]) ).
cnf(10256,plain,
( sum(sum(pred(esk5_0),succ(n0)),sum(pred(n0),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,10254,theory(equality)]) ).
cnf(10257,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n0) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10255,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(10258,plain,
( sum(sum(pred(esk5_0),n1),sum(n10,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10256,224,theory(equality)]),213,theory(equality)]) ).
cnf(10269,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10240,10236,theory(equality)]) ).
cnf(10270,plain,
( n0 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10269,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10273,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10257,10270,theory(equality)]) ).
cnf(10276,plain,
( n0 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10273,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10277,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n0),succ(n0))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,10276,theory(equality)]) ).
cnf(10278,plain,
( sum(sum(pred(esk7_0),succ(n0)),sum(pred(n0),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,10276,theory(equality)]) ).
cnf(10279,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n0) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10277,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(10280,plain,
( sum(sum(pred(esk7_0),n1),sum(n10,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10278,224,theory(equality)]),213,theory(equality)]) ).
cnf(10285,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10258,10270,theory(equality)]) ).
cnf(10286,plain,
( n0 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10285,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10291,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10279,10286,theory(equality)]) ).
cnf(10294,plain,
( n0 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10291,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10295,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n0),succ(n0))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,10294,theory(equality)]) ).
cnf(10296,plain,
( sum(sum(pred(esk9_0),succ(n0)),sum(pred(n0),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,10294,theory(equality)]) ).
cnf(10297,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n0) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10295,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(10298,plain,
( sum(sum(pred(esk9_0),n1),sum(n10,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10296,224,theory(equality)]),213,theory(equality)]) ).
cnf(10301,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10280,10286,theory(equality)]) ).
cnf(10302,plain,
( n0 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10301,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10305,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10297,10302,theory(equality)]) ).
cnf(10308,plain,
( n0 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10305,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10311,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n0),succ(n0))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,10308,theory(equality)]) ).
cnf(10312,plain,
( sum(sum(pred(esk11_0),succ(n0)),sum(pred(n0),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,10308,theory(equality)]) ).
cnf(10313,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n0) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10311,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(10314,plain,
( sum(sum(pred(esk11_0),n1),sum(n10,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10312,224,theory(equality)]),213,theory(equality)]) ).
cnf(10317,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10298,10302,theory(equality)]) ).
cnf(10318,plain,
( n0 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10317,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10321,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10313,10318,theory(equality)]) ).
cnf(10324,plain,
( n0 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10321,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10325,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n0),succ(n0))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,10324,theory(equality)]) ).
cnf(10326,plain,
( sum(sum(pred(esk13_0),succ(n0)),sum(pred(n0),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,10324,theory(equality)]) ).
cnf(10327,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n0) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10325,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(10328,plain,
( sum(sum(pred(esk13_0),n1),sum(n10,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10326,224,theory(equality)]),213,theory(equality)]) ).
cnf(10333,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10314,10318,theory(equality)]) ).
cnf(10334,plain,
( n0 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10333,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10337,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10327,10334,theory(equality)]) ).
cnf(10340,plain,
( n0 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10337,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10341,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n0),succ(n0))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,10340,theory(equality)]) ).
cnf(10342,plain,
( sum(sum(pred(esk15_0),succ(n0)),sum(pred(n0),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,10340,theory(equality)]) ).
cnf(10343,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n0) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10341,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(10344,plain,
( sum(sum(pred(esk15_0),n1),sum(n10,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10342,224,theory(equality)]),213,theory(equality)]) ).
cnf(10349,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10328,10334,theory(equality)]) ).
cnf(10350,plain,
( n0 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10349,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10353,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10343,10350,theory(equality)]) ).
cnf(10356,plain,
( n0 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10353,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10357,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n0),succ(n0))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,10356,theory(equality)]) ).
cnf(10358,plain,
( sum(sum(pred(esk17_0),succ(n0)),sum(pred(n0),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,10356,theory(equality)]) ).
cnf(10359,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n0) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10357,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(10360,plain,
( sum(sum(pred(esk17_0),n1),sum(n10,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10358,224,theory(equality)]),213,theory(equality)]) ).
cnf(10365,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10344,10350,theory(equality)]) ).
cnf(10366,plain,
( n0 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10365,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10369,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10359,10366,theory(equality)]) ).
cnf(10372,plain,
( n0 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10369,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10373,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n0),succ(n0))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,10372,theory(equality)]) ).
cnf(10374,plain,
( sum(sum(pred(esk19_0),succ(n0)),sum(pred(n0),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,10372,theory(equality)]) ).
cnf(10375,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n0) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10373,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(10376,plain,
( sum(sum(pred(esk19_0),n1),sum(n10,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10374,224,theory(equality)]),213,theory(equality)]) ).
cnf(10381,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10360,10366,theory(equality)]) ).
cnf(10382,plain,
( n0 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10381,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10385,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10375,10382,theory(equality)]) ).
cnf(10388,plain,
( n0 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10385,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10393,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10376,10382,theory(equality)]) ).
cnf(10394,plain,
( n0 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10393,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(10395,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n0 != esk22_0 ),
inference(spm,[status(thm)],[59,10394,theory(equality)]) ).
cnf(10398,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[10395,10388]) ).
cnf(10399,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n0 != esk20_0 ),
inference(spm,[status(thm)],[10398,10382,theory(equality)]) ).
cnf(10400,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[10399,10372]) ).
cnf(10401,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n0 != esk18_0 ),
inference(spm,[status(thm)],[10400,10366,theory(equality)]) ).
cnf(10402,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[10401,10356]) ).
cnf(10403,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n0 != esk16_0 ),
inference(spm,[status(thm)],[10402,10350,theory(equality)]) ).
cnf(10404,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[10403,10340]) ).
cnf(10405,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n0 != esk14_0 ),
inference(spm,[status(thm)],[10404,10334,theory(equality)]) ).
cnf(10406,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[10405,10324]) ).
cnf(10407,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n0 != esk12_0 ),
inference(spm,[status(thm)],[10406,10318,theory(equality)]) ).
cnf(10408,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[10407,10308]) ).
cnf(10409,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n0 != esk10_0 ),
inference(spm,[status(thm)],[10408,10302,theory(equality)]) ).
cnf(10410,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[10409,10294]) ).
cnf(10411,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n0 != esk8_0 ),
inference(spm,[status(thm)],[10410,10286,theory(equality)]) ).
cnf(10412,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[10411,10276]) ).
cnf(10413,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n0 != esk6_0 ),
inference(spm,[status(thm)],[10412,10270,theory(equality)]) ).
cnf(10414,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[10413,10254]) ).
cnf(10415,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != esk4_0 ),
inference(spm,[status(thm)],[10414,10236,theory(equality)]) ).
cnf(10416,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[10415,10235]) ).
cnf(10421,plain,
( sum(n3,sum(pred(n3),succ(n3))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8887,10416,theory(equality)]) ).
cnf(10422,plain,
( sum(sum(n6,succ(n3)),sum(pred(n3),n8)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[8888,10416,theory(equality)]) ).
cnf(10425,plain,
( n9 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10421,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),163,theory(equality)]) ).
cnf(10426,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10422,221,theory(equality)]),132,theory(equality)]),210,theory(equality)]),172,theory(equality)]),82,theory(equality)]) ).
cnf(10427,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n9),succ(n9))) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,10425,theory(equality)]) ).
cnf(10428,plain,
( sum(sum(pred(esk3_0),succ(n9)),sum(pred(n9),succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,10425,theory(equality)]) ).
cnf(10429,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n7) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10427,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(10430,plain,
( sum(sum(pred(esk3_0),n10),sum(n8,succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10428,215,theory(equality)]),204,theory(equality)]) ).
cnf(10443,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10429,10426,theory(equality)]) ).
cnf(10444,plain,
( n3 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10443,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(10445,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n3),succ(n3))) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,10444,theory(equality)]) ).
cnf(10446,plain,
( sum(sum(pred(esk5_0),succ(n3)),sum(pred(n3),succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,10444,theory(equality)]) ).
cnf(10447,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n6) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10445,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(10448,plain,
( sum(sum(pred(esk5_0),n4),sum(n2,succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10446,221,theory(equality)]),210,theory(equality)]) ).
cnf(10459,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10430,10426,theory(equality)]) ).
cnf(10460,plain,
( n3 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10459,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(10463,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10447,10460,theory(equality)]) ).
cnf(10466,plain,
( n1 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10463,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(10467,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n1),succ(n1))) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,10466,theory(equality)]) ).
cnf(10468,plain,
( sum(sum(pred(esk7_0),succ(n1)),sum(pred(n1),succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,10466,theory(equality)]) ).
cnf(10469,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n2) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10467,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(10470,plain,
( sum(sum(pred(esk7_0),n2),sum(n0,succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10468,223,theory(equality)]),212,theory(equality)]) ).
cnf(10475,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10448,10460,theory(equality)]) ).
cnf(10476,plain,
( n1 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10475,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(10481,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10469,10476,theory(equality)]) ).
cnf(10484,plain,
( n4 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10481,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(10485,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n4),succ(n4))) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,10484,theory(equality)]) ).
cnf(10486,plain,
( sum(sum(pred(esk9_0),succ(n4)),sum(pred(n4),succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,10484,theory(equality)]) ).
cnf(10487,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n8) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10485,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(10488,plain,
( sum(sum(pred(esk9_0),n5),sum(n3,succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10486,220,theory(equality)]),209,theory(equality)]) ).
cnf(10491,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10470,10476,theory(equality)]) ).
cnf(10492,plain,
( n4 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10491,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(10495,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10487,10492,theory(equality)]) ).
cnf(10498,plain,
( n5 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10495,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(10501,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n5),succ(n5))) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,10498,theory(equality)]) ).
cnf(10502,plain,
( sum(sum(pred(esk11_0),succ(n5)),sum(pred(n5),succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,10498,theory(equality)]) ).
cnf(10503,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n10) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10501,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(10504,plain,
( sum(sum(pred(esk11_0),n6),sum(n4,succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10502,219,theory(equality)]),208,theory(equality)]) ).
cnf(10507,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10488,10492,theory(equality)]) ).
cnf(10508,plain,
( n5 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10507,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(10511,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10503,10508,theory(equality)]) ).
cnf(10514,plain,
( n9 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10511,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(10515,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n9),succ(n9))) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,10514,theory(equality)]) ).
cnf(10516,plain,
( sum(sum(pred(esk13_0),succ(n9)),sum(pred(n9),succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,10514,theory(equality)]) ).
cnf(10517,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n7) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10515,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(10518,plain,
( sum(sum(pred(esk13_0),n10),sum(n8,succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10516,215,theory(equality)]),204,theory(equality)]) ).
cnf(10523,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10504,10508,theory(equality)]) ).
cnf(10524,plain,
( n9 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10523,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(10527,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10517,10524,theory(equality)]) ).
cnf(10530,plain,
( n3 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10527,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(10531,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n3),succ(n3))) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,10530,theory(equality)]) ).
cnf(10532,plain,
( sum(sum(pred(esk15_0),succ(n3)),sum(pred(n3),succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,10530,theory(equality)]) ).
cnf(10533,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n6) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10531,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(10534,plain,
( sum(sum(pred(esk15_0),n4),sum(n2,succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10532,221,theory(equality)]),210,theory(equality)]) ).
cnf(10539,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10518,10524,theory(equality)]) ).
cnf(10540,plain,
( n3 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10539,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(10543,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10533,10540,theory(equality)]) ).
cnf(10546,plain,
( n1 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10543,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(10547,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n1),succ(n1))) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,10546,theory(equality)]) ).
cnf(10548,plain,
( sum(sum(pred(esk17_0),succ(n1)),sum(pred(n1),succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,10546,theory(equality)]) ).
cnf(10549,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n2) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10547,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(10550,plain,
( sum(sum(pred(esk17_0),n2),sum(n0,succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10548,223,theory(equality)]),212,theory(equality)]) ).
cnf(10555,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10534,10540,theory(equality)]) ).
cnf(10556,plain,
( n1 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10555,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(10559,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10549,10556,theory(equality)]) ).
cnf(10562,plain,
( n4 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10559,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(10563,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n4),succ(n4))) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,10562,theory(equality)]) ).
cnf(10564,plain,
( sum(sum(pred(esk19_0),succ(n4)),sum(pred(n4),succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,10562,theory(equality)]) ).
cnf(10565,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n8) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10563,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(10566,plain,
( sum(sum(pred(esk19_0),n5),sum(n3,succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10564,220,theory(equality)]),209,theory(equality)]) ).
cnf(10571,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10550,10556,theory(equality)]) ).
cnf(10572,plain,
( n4 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10571,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(10575,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10565,10572,theory(equality)]) ).
cnf(10578,plain,
( n5 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10575,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(10583,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10566,10572,theory(equality)]) ).
cnf(10584,plain,
( n5 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10583,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(10585,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n5 != esk22_0 ),
inference(spm,[status(thm)],[59,10584,theory(equality)]) ).
cnf(10588,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[10585,10578]) ).
cnf(10589,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n4 != esk20_0 ),
inference(spm,[status(thm)],[10588,10572,theory(equality)]) ).
cnf(10590,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[10589,10562]) ).
cnf(10591,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n1 != esk18_0 ),
inference(spm,[status(thm)],[10590,10556,theory(equality)]) ).
cnf(10592,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[10591,10546]) ).
cnf(10593,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n3 != esk16_0 ),
inference(spm,[status(thm)],[10592,10540,theory(equality)]) ).
cnf(10594,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[10593,10530]) ).
cnf(10595,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n9 != esk14_0 ),
inference(spm,[status(thm)],[10594,10524,theory(equality)]) ).
cnf(10596,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[10595,10514]) ).
cnf(10597,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n5 != esk12_0 ),
inference(spm,[status(thm)],[10596,10508,theory(equality)]) ).
cnf(10598,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[10597,10498]) ).
cnf(10599,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n4 != esk10_0 ),
inference(spm,[status(thm)],[10598,10492,theory(equality)]) ).
cnf(10600,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[10599,10484]) ).
cnf(10601,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n1 != esk8_0 ),
inference(spm,[status(thm)],[10600,10476,theory(equality)]) ).
cnf(10602,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[10601,10466]) ).
cnf(10603,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n3 != esk6_0 ),
inference(spm,[status(thm)],[10602,10460,theory(equality)]) ).
cnf(10604,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[10603,10444]) ).
cnf(10605,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| n9 != esk4_0 ),
inference(spm,[status(thm)],[10604,10426,theory(equality)]) ).
cnf(10606,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(csr,[status(thm)],[10605,10425]) ).
cnf(10610,plain,
( sum(n3,sum(pred(n2),succ(n2))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8887,10606,theory(equality)]) ).
cnf(10611,plain,
( sum(sum(n6,succ(n2)),sum(pred(n2),n8)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[8888,10606,theory(equality)]) ).
cnf(10614,plain,
( n7 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10610,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),165,theory(equality)]) ).
cnf(10615,plain,
( n7 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10611,222,theory(equality)]),133,theory(equality)]),211,theory(equality)]),183,theory(equality)]),94,theory(equality)]) ).
cnf(10616,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n7),succ(n7))) = esk6_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,10614,theory(equality)]) ).
cnf(10617,plain,
( sum(sum(pred(esk3_0),succ(n7)),sum(pred(n7),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,10614,theory(equality)]) ).
cnf(10618,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n3) = esk6_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10616,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(10619,plain,
( sum(sum(pred(esk3_0),n8),sum(n6,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10617,217,theory(equality)]),206,theory(equality)]) ).
cnf(10640,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10618,10615,theory(equality)]) ).
cnf(10641,plain,
( n6 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10640,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(10642,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n6),succ(n6))) = esk8_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,10641,theory(equality)]) ).
cnf(10643,plain,
( sum(sum(pred(esk5_0),succ(n6)),sum(pred(n6),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,10641,theory(equality)]) ).
cnf(10644,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n1) = esk8_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10642,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(10645,plain,
( sum(sum(pred(esk5_0),n7),sum(n5,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10643,218,theory(equality)]),207,theory(equality)]) ).
cnf(10648,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10619,10615,theory(equality)]) ).
cnf(10649,plain,
( n6 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10648,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(10654,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10644,10649,theory(equality)]) ).
cnf(10657,plain,
( n2 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10654,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(10658,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n2),succ(n2))) = esk10_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,10657,theory(equality)]) ).
cnf(10659,plain,
( sum(sum(pred(esk7_0),succ(n2)),sum(pred(n2),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,10657,theory(equality)]) ).
cnf(10660,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n4) = esk10_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10658,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(10661,plain,
( sum(sum(pred(esk7_0),n3),sum(n1,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10659,222,theory(equality)]),211,theory(equality)]) ).
cnf(10664,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10645,10649,theory(equality)]) ).
cnf(10665,plain,
( n2 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10664,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(10668,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10660,10665,theory(equality)]) ).
cnf(10671,plain,
( n8 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10668,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(10674,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n8),succ(n8))) = esk12_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,10671,theory(equality)]) ).
cnf(10675,plain,
( sum(sum(pred(esk9_0),succ(n8)),sum(pred(n8),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,10671,theory(equality)]) ).
cnf(10676,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n5) = esk12_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10674,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(10677,plain,
( sum(sum(pred(esk9_0),n9),sum(n7,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10675,216,theory(equality)]),205,theory(equality)]) ).
cnf(10680,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10661,10665,theory(equality)]) ).
cnf(10681,plain,
( n8 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10680,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(10684,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10676,10681,theory(equality)]) ).
cnf(10687,plain,
( n10 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10684,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(10688,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n10),succ(n10))) = esk14_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,10687,theory(equality)]) ).
cnf(10689,plain,
( sum(sum(pred(esk11_0),succ(n10)),sum(pred(n10),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,10687,theory(equality)]) ).
cnf(10690,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n9) = esk14_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10688,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(10691,plain,
( sum(sum(pred(esk11_0),n0),sum(n9,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10689,214,theory(equality)]),203,theory(equality)]) ).
cnf(10696,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10677,10681,theory(equality)]) ).
cnf(10697,plain,
( n10 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10696,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(10700,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10690,10697,theory(equality)]) ).
cnf(10703,plain,
( n7 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10700,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(10704,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n7),succ(n7))) = esk16_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,10703,theory(equality)]) ).
cnf(10705,plain,
( sum(sum(pred(esk13_0),succ(n7)),sum(pred(n7),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,10703,theory(equality)]) ).
cnf(10706,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n3) = esk16_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10704,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(10707,plain,
( sum(sum(pred(esk13_0),n8),sum(n6,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10705,217,theory(equality)]),206,theory(equality)]) ).
cnf(10712,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10691,10697,theory(equality)]) ).
cnf(10713,plain,
( n7 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10712,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(10716,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10706,10713,theory(equality)]) ).
cnf(10719,plain,
( n6 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10716,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(10720,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n6),succ(n6))) = esk18_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,10719,theory(equality)]) ).
cnf(10721,plain,
( sum(sum(pred(esk15_0),succ(n6)),sum(pred(n6),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,10719,theory(equality)]) ).
cnf(10722,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n1) = esk18_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10720,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(10723,plain,
( sum(sum(pred(esk15_0),n7),sum(n5,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10721,218,theory(equality)]),207,theory(equality)]) ).
cnf(10728,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10707,10713,theory(equality)]) ).
cnf(10729,plain,
( n6 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10728,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(10732,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10722,10729,theory(equality)]) ).
cnf(10735,plain,
( n2 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10732,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(10736,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n2),succ(n2))) = esk20_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,10735,theory(equality)]) ).
cnf(10737,plain,
( sum(sum(pred(esk17_0),succ(n2)),sum(pred(n2),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,10735,theory(equality)]) ).
cnf(10738,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n4) = esk20_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10736,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(10739,plain,
( sum(sum(pred(esk17_0),n3),sum(n1,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10737,222,theory(equality)]),211,theory(equality)]) ).
cnf(10744,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10723,10729,theory(equality)]) ).
cnf(10745,plain,
( n2 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10744,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(10748,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10738,10745,theory(equality)]) ).
cnf(10751,plain,
( n8 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10748,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(10752,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n8),succ(n8))) = esk22_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,10751,theory(equality)]) ).
cnf(10753,plain,
( sum(sum(pred(esk19_0),succ(n8)),sum(pred(n8),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,10751,theory(equality)]) ).
cnf(10754,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n5) = esk22_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10752,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(10755,plain,
( sum(sum(pred(esk19_0),n9),sum(n7,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10753,216,theory(equality)]),205,theory(equality)]) ).
cnf(10760,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10739,10745,theory(equality)]) ).
cnf(10761,plain,
( n8 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10760,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(10764,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10754,10761,theory(equality)]) ).
cnf(10767,plain,
( n10 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10764,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(10772,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10755,10761,theory(equality)]) ).
cnf(10773,plain,
( n10 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10772,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(10776,plain,
( esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n10 != esk22_0 ),
inference(spm,[status(thm)],[59,10773,theory(equality)]) ).
cnf(10777,plain,
( esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[10776,10767]) ).
cnf(10778,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n8 != esk20_0 ),
inference(spm,[status(thm)],[10777,10761,theory(equality)]) ).
cnf(10779,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[10778,10751]) ).
cnf(10780,plain,
( esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n2 != esk18_0 ),
inference(spm,[status(thm)],[10779,10745,theory(equality)]) ).
cnf(10781,plain,
( esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[10780,10735]) ).
cnf(10782,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n6 != esk16_0 ),
inference(spm,[status(thm)],[10781,10729,theory(equality)]) ).
cnf(10783,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[10782,10719]) ).
cnf(10784,plain,
( esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n7 != esk14_0 ),
inference(spm,[status(thm)],[10783,10713,theory(equality)]) ).
cnf(10785,plain,
( esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[10784,10703]) ).
cnf(10786,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n10 != esk12_0 ),
inference(spm,[status(thm)],[10785,10697,theory(equality)]) ).
cnf(10787,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[10786,10687]) ).
cnf(10788,plain,
( esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n8 != esk10_0 ),
inference(spm,[status(thm)],[10787,10681,theory(equality)]) ).
cnf(10789,plain,
( esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[10788,10671]) ).
cnf(10790,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n2 != esk8_0 ),
inference(spm,[status(thm)],[10789,10665,theory(equality)]) ).
cnf(10791,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[10790,10657]) ).
cnf(10792,plain,
( esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n6 != esk6_0 ),
inference(spm,[status(thm)],[10791,10649,theory(equality)]) ).
cnf(10793,plain,
( esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[10792,10641]) ).
cnf(10794,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| n7 != esk4_0 ),
inference(spm,[status(thm)],[10793,10615,theory(equality)]) ).
cnf(10795,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(csr,[status(thm)],[10794,10614]) ).
cnf(10798,plain,
( sum(n3,sum(pred(n1),succ(n1))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[8887,10795,theory(equality)]) ).
cnf(10799,plain,
( sum(sum(n6,succ(n1)),sum(pred(n1),n8)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[8888,10795,theory(equality)]) ).
cnf(10802,plain,
( n5 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10798,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),167,theory(equality)]) ).
cnf(10803,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10799,223,theory(equality)]),134,theory(equality)]),212,theory(equality)]),194,theory(equality)]),106,theory(equality)]) ).
cnf(10804,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n5),succ(n5))) = esk6_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,10802,theory(equality)]) ).
cnf(10805,plain,
( sum(sum(pred(esk3_0),succ(n5)),sum(pred(n5),succ(esk3_0))) = esk5_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,10802,theory(equality)]) ).
cnf(10806,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n10) = esk6_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10804,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(10807,plain,
( sum(sum(pred(esk3_0),n6),sum(n4,succ(esk3_0))) = esk5_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10805,219,theory(equality)]),208,theory(equality)]) ).
cnf(10820,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10806,10803,theory(equality)]) ).
cnf(10821,plain,
( n9 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10820,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(10830,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n9),succ(n9))) = esk8_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,10821,theory(equality)]) ).
cnf(10831,plain,
( sum(sum(pred(esk5_0),succ(n9)),sum(pred(n9),succ(esk5_0))) = esk7_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,10821,theory(equality)]) ).
cnf(10832,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n7) = esk8_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10830,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(10833,plain,
( sum(sum(pred(esk5_0),n10),sum(n8,succ(esk5_0))) = esk7_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10831,215,theory(equality)]),204,theory(equality)]) ).
cnf(10836,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10807,10803,theory(equality)]) ).
cnf(10837,plain,
( n9 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10836,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(10840,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10832,10837,theory(equality)]) ).
cnf(10843,plain,
( n3 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10840,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(10844,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n3),succ(n3))) = esk10_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,10843,theory(equality)]) ).
cnf(10845,plain,
( sum(sum(pred(esk7_0),succ(n3)),sum(pred(n3),succ(esk7_0))) = esk9_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,10843,theory(equality)]) ).
cnf(10846,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n6) = esk10_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10844,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(10847,plain,
( sum(sum(pred(esk7_0),n4),sum(n2,succ(esk7_0))) = esk9_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10845,221,theory(equality)]),210,theory(equality)]) ).
cnf(10852,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10833,10837,theory(equality)]) ).
cnf(10853,plain,
( n3 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10852,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(10856,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10846,10853,theory(equality)]) ).
cnf(10859,plain,
( n1 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10856,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(10860,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n1),succ(n1))) = esk12_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,10859,theory(equality)]) ).
cnf(10861,plain,
( sum(sum(pred(esk9_0),succ(n1)),sum(pred(n1),succ(esk9_0))) = esk11_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,10859,theory(equality)]) ).
cnf(10862,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n2) = esk12_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10860,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(10863,plain,
( sum(sum(pred(esk9_0),n2),sum(n0,succ(esk9_0))) = esk11_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10861,223,theory(equality)]),212,theory(equality)]) ).
cnf(10868,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10847,10853,theory(equality)]) ).
cnf(10869,plain,
( n1 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10868,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(10872,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10862,10869,theory(equality)]) ).
cnf(10875,plain,
( n4 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10872,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(10876,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n4),succ(n4))) = esk14_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,10875,theory(equality)]) ).
cnf(10877,plain,
( sum(sum(pred(esk11_0),succ(n4)),sum(pred(n4),succ(esk11_0))) = esk13_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,10875,theory(equality)]) ).
cnf(10878,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n8) = esk14_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10876,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(10879,plain,
( sum(sum(pred(esk11_0),n5),sum(n3,succ(esk11_0))) = esk13_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10877,220,theory(equality)]),209,theory(equality)]) ).
cnf(10884,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10863,10869,theory(equality)]) ).
cnf(10885,plain,
( n4 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10884,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(10888,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10878,10885,theory(equality)]) ).
cnf(10891,plain,
( n5 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10888,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(10892,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n5),succ(n5))) = esk16_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,10891,theory(equality)]) ).
cnf(10893,plain,
( sum(sum(pred(esk13_0),succ(n5)),sum(pred(n5),succ(esk13_0))) = esk15_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,10891,theory(equality)]) ).
cnf(10894,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n10) = esk16_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10892,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(10895,plain,
( sum(sum(pred(esk13_0),n6),sum(n4,succ(esk13_0))) = esk15_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10893,219,theory(equality)]),208,theory(equality)]) ).
cnf(10900,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10879,10885,theory(equality)]) ).
cnf(10901,plain,
( n5 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10900,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(10904,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10894,10901,theory(equality)]) ).
cnf(10907,plain,
( n9 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10904,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(10908,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n9),succ(n9))) = esk18_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,10907,theory(equality)]) ).
cnf(10909,plain,
( sum(sum(pred(esk15_0),succ(n9)),sum(pred(n9),succ(esk15_0))) = esk17_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,10907,theory(equality)]) ).
cnf(10910,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n7) = esk18_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10908,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(10911,plain,
( sum(sum(pred(esk15_0),n10),sum(n8,succ(esk15_0))) = esk17_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10909,215,theory(equality)]),204,theory(equality)]) ).
cnf(10916,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10895,10901,theory(equality)]) ).
cnf(10917,plain,
( n9 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10916,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(10920,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10910,10917,theory(equality)]) ).
cnf(10923,plain,
( n3 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10920,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(10924,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n3),succ(n3))) = esk20_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,10923,theory(equality)]) ).
cnf(10925,plain,
( sum(sum(pred(esk17_0),succ(n3)),sum(pred(n3),succ(esk17_0))) = esk19_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,10923,theory(equality)]) ).
cnf(10926,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n6) = esk20_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10924,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(10927,plain,
( sum(sum(pred(esk17_0),n4),sum(n2,succ(esk17_0))) = esk19_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10925,221,theory(equality)]),210,theory(equality)]) ).
cnf(10932,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10911,10917,theory(equality)]) ).
cnf(10933,plain,
( n3 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10932,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(10936,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10926,10933,theory(equality)]) ).
cnf(10939,plain,
( n1 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10936,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(10940,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n1),succ(n1))) = esk22_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,10939,theory(equality)]) ).
cnf(10941,plain,
( sum(sum(pred(esk19_0),succ(n1)),sum(pred(n1),succ(esk19_0))) = esk21_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,10939,theory(equality)]) ).
cnf(10942,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n2) = esk22_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10940,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(10943,plain,
( sum(sum(pred(esk19_0),n2),sum(n0,succ(esk19_0))) = esk21_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10941,223,theory(equality)]),212,theory(equality)]) ).
cnf(10948,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10927,10933,theory(equality)]) ).
cnf(10949,plain,
( n1 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10948,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(10954,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10942,10949,theory(equality)]) ).
cnf(10957,plain,
( n4 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10954,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(10960,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[10943,10949,theory(equality)]) ).
cnf(10961,plain,
( n4 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10960,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(10962,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n4 != esk22_0 ),
inference(spm,[status(thm)],[59,10961,theory(equality)]) ).
cnf(10965,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[10962,10957]) ).
cnf(10966,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n1 != esk20_0 ),
inference(spm,[status(thm)],[10965,10949,theory(equality)]) ).
cnf(10967,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[10966,10939]) ).
cnf(10968,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n3 != esk18_0 ),
inference(spm,[status(thm)],[10967,10933,theory(equality)]) ).
cnf(10969,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[10968,10923]) ).
cnf(10970,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n9 != esk16_0 ),
inference(spm,[status(thm)],[10969,10917,theory(equality)]) ).
cnf(10971,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[10970,10907]) ).
cnf(10972,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n5 != esk14_0 ),
inference(spm,[status(thm)],[10971,10901,theory(equality)]) ).
cnf(10973,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[10972,10891]) ).
cnf(10974,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n4 != esk12_0 ),
inference(spm,[status(thm)],[10973,10885,theory(equality)]) ).
cnf(10975,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[10974,10875]) ).
cnf(10976,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n1 != esk10_0 ),
inference(spm,[status(thm)],[10975,10869,theory(equality)]) ).
cnf(10977,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[10976,10859]) ).
cnf(10978,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n3 != esk8_0 ),
inference(spm,[status(thm)],[10977,10853,theory(equality)]) ).
cnf(10979,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[10978,10843]) ).
cnf(10980,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n9 != esk6_0 ),
inference(spm,[status(thm)],[10979,10837,theory(equality)]) ).
cnf(10981,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[10980,10821]) ).
cnf(10982,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| n5 != esk4_0 ),
inference(spm,[status(thm)],[10981,10803,theory(equality)]) ).
cnf(10983,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(csr,[status(thm)],[10982,10802]) ).
cnf(10989,plain,
( sum(sum(pred(n6),succ(n6)),sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[78,10983,theory(equality)]) ).
cnf(10990,plain,
( sum(sum(pred(n6),succ(esk2_0)),sum(pred(esk2_0),succ(n6))) = esk3_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[79,10983,theory(equality)]) ).
cnf(10991,plain,
( sum(sum(pred(n6),succ(n6)),n0) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[248,10983,theory(equality)]) ).
cnf(10992,plain,
( sum(sum(pred(n6),n1),sum(n10,succ(n6))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[252,10983,theory(equality)]) ).
cnf(10993,plain,
( sum(n1,sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10989,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(10994,plain,
( sum(sum(n5,succ(esk2_0)),sum(pred(esk2_0),n7)) = esk3_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[10990,207,theory(equality)]),218,theory(equality)]) ).
cnf(10995,plain,
( n1 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10991,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),191,theory(equality)]) ).
cnf(10996,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10992,207,theory(equality)]),146,theory(equality)]),218,theory(equality)]),85,theory(equality)]),130,theory(equality)]) ).
cnf(11001,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n1),succ(n1))) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,10995,theory(equality)]) ).
cnf(11002,plain,
( sum(sum(pred(esk3_0),succ(n1)),sum(pred(n1),succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,10995,theory(equality)]) ).
cnf(11003,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n2) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11001,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(11004,plain,
( sum(sum(pred(esk3_0),n2),sum(n0,succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11002,223,theory(equality)]),212,theory(equality)]) ).
cnf(11009,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11003,10996,theory(equality)]) ).
cnf(11010,plain,
( n4 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11009,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(11011,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n4),succ(n4))) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,11010,theory(equality)]) ).
cnf(11012,plain,
( sum(sum(pred(esk5_0),succ(n4)),sum(pred(n4),succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,11010,theory(equality)]) ).
cnf(11013,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n8) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11011,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(11014,plain,
( sum(sum(pred(esk5_0),n5),sum(n3,succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11012,220,theory(equality)]),209,theory(equality)]) ).
cnf(11017,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11004,10996,theory(equality)]) ).
cnf(11018,plain,
( n4 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11017,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(11021,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11013,11018,theory(equality)]) ).
cnf(11024,plain,
( n5 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11021,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(11025,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n5),succ(n5))) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,11024,theory(equality)]) ).
cnf(11026,plain,
( sum(sum(pred(esk7_0),succ(n5)),sum(pred(n5),succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,11024,theory(equality)]) ).
cnf(11027,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n10) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11025,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(11028,plain,
( sum(sum(pred(esk7_0),n6),sum(n4,succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11026,219,theory(equality)]),208,theory(equality)]) ).
cnf(11033,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11014,11018,theory(equality)]) ).
cnf(11034,plain,
( n5 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11033,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(11039,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11027,11034,theory(equality)]) ).
cnf(11042,plain,
( n9 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11039,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(11043,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n9),succ(n9))) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,11042,theory(equality)]) ).
cnf(11044,plain,
( sum(sum(pred(esk9_0),succ(n9)),sum(pred(n9),succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,11042,theory(equality)]) ).
cnf(11045,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n7) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11043,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(11046,plain,
( sum(sum(pred(esk9_0),n10),sum(n8,succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11044,215,theory(equality)]),204,theory(equality)]) ).
cnf(11049,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11028,11034,theory(equality)]) ).
cnf(11050,plain,
( n9 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11049,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(11053,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11045,11050,theory(equality)]) ).
cnf(11056,plain,
( n3 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11053,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(11059,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n3),succ(n3))) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,11056,theory(equality)]) ).
cnf(11060,plain,
( sum(sum(pred(esk11_0),succ(n3)),sum(pred(n3),succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,11056,theory(equality)]) ).
cnf(11061,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n6) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11059,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(11062,plain,
( sum(sum(pred(esk11_0),n4),sum(n2,succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11060,221,theory(equality)]),210,theory(equality)]) ).
cnf(11065,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11046,11050,theory(equality)]) ).
cnf(11066,plain,
( n3 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11065,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(11069,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11061,11066,theory(equality)]) ).
cnf(11072,plain,
( n1 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11069,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(11073,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n1),succ(n1))) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,11072,theory(equality)]) ).
cnf(11074,plain,
( sum(sum(pred(esk13_0),succ(n1)),sum(pred(n1),succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,11072,theory(equality)]) ).
cnf(11075,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n2) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11073,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(11076,plain,
( sum(sum(pred(esk13_0),n2),sum(n0,succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11074,223,theory(equality)]),212,theory(equality)]) ).
cnf(11081,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11062,11066,theory(equality)]) ).
cnf(11082,plain,
( n1 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11081,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(11085,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11075,11082,theory(equality)]) ).
cnf(11088,plain,
( n4 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11085,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(11089,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n4),succ(n4))) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,11088,theory(equality)]) ).
cnf(11090,plain,
( sum(sum(pred(esk15_0),succ(n4)),sum(pred(n4),succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,11088,theory(equality)]) ).
cnf(11091,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n8) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11089,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(11092,plain,
( sum(sum(pred(esk15_0),n5),sum(n3,succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11090,220,theory(equality)]),209,theory(equality)]) ).
cnf(11097,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11076,11082,theory(equality)]) ).
cnf(11098,plain,
( n4 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11097,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(11101,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11091,11098,theory(equality)]) ).
cnf(11104,plain,
( n5 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11101,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(11105,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n5),succ(n5))) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,11104,theory(equality)]) ).
cnf(11106,plain,
( sum(sum(pred(esk17_0),succ(n5)),sum(pred(n5),succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,11104,theory(equality)]) ).
cnf(11107,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n10) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11105,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(11108,plain,
( sum(sum(pred(esk17_0),n6),sum(n4,succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11106,219,theory(equality)]),208,theory(equality)]) ).
cnf(11113,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11092,11098,theory(equality)]) ).
cnf(11114,plain,
( n5 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11113,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(11117,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11107,11114,theory(equality)]) ).
cnf(11120,plain,
( n9 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11117,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(11121,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n9),succ(n9))) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,11120,theory(equality)]) ).
cnf(11122,plain,
( sum(sum(pred(esk19_0),succ(n9)),sum(pred(n9),succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,11120,theory(equality)]) ).
cnf(11123,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n7) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11121,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(11124,plain,
( sum(sum(pred(esk19_0),n10),sum(n8,succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11122,215,theory(equality)]),204,theory(equality)]) ).
cnf(11129,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11108,11114,theory(equality)]) ).
cnf(11130,plain,
( n9 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11129,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(11133,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11123,11130,theory(equality)]) ).
cnf(11136,plain,
( n3 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11133,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(11141,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[11124,11130,theory(equality)]) ).
cnf(11142,plain,
( n3 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11141,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(11143,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n3 != esk22_0 ),
inference(spm,[status(thm)],[59,11142,theory(equality)]) ).
cnf(11146,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[11143,11136]) ).
cnf(11147,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n9 != esk20_0 ),
inference(spm,[status(thm)],[11146,11130,theory(equality)]) ).
cnf(11148,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[11147,11120]) ).
cnf(11149,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n5 != esk18_0 ),
inference(spm,[status(thm)],[11148,11114,theory(equality)]) ).
cnf(11150,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[11149,11104]) ).
cnf(11151,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n4 != esk16_0 ),
inference(spm,[status(thm)],[11150,11098,theory(equality)]) ).
cnf(11152,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[11151,11088]) ).
cnf(11153,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n1 != esk14_0 ),
inference(spm,[status(thm)],[11152,11082,theory(equality)]) ).
cnf(11154,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[11153,11072]) ).
cnf(11155,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n3 != esk12_0 ),
inference(spm,[status(thm)],[11154,11066,theory(equality)]) ).
cnf(11156,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[11155,11056]) ).
cnf(11157,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n9 != esk10_0 ),
inference(spm,[status(thm)],[11156,11050,theory(equality)]) ).
cnf(11158,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[11157,11042]) ).
cnf(11159,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n5 != esk8_0 ),
inference(spm,[status(thm)],[11158,11034,theory(equality)]) ).
cnf(11160,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[11159,11024]) ).
cnf(11161,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n4 != esk6_0 ),
inference(spm,[status(thm)],[11160,11018,theory(equality)]) ).
cnf(11162,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[11161,11010]) ).
cnf(11163,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n1 != esk4_0 ),
inference(spm,[status(thm)],[11162,10996,theory(equality)]) ).
cnf(11164,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(csr,[status(thm)],[11163,10995]) ).
cnf(11176,plain,
( sum(n1,sum(pred(n10),succ(n10))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10993,11164,theory(equality)]) ).
cnf(11177,plain,
( sum(sum(n5,succ(n10)),sum(pred(n10),n7)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10994,11164,theory(equality)]) ).
cnf(11180,plain,
( n10 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11176,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),182,theory(equality)]) ).
cnf(11181,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11177,214,theory(equality)]),147,theory(equality)]),203,theory(equality)]),96,theory(equality)]),142,theory(equality)]) ).
cnf(11182,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n10),succ(n10))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,11180,theory(equality)]) ).
cnf(11183,plain,
( sum(sum(pred(esk3_0),succ(n10)),sum(pred(n10),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,11180,theory(equality)]) ).
cnf(11184,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n9) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11182,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(11185,plain,
( sum(sum(pred(esk3_0),n0),sum(n9,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11183,214,theory(equality)]),203,theory(equality)]) ).
cnf(11204,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11184,11181,theory(equality)]) ).
cnf(11205,plain,
( n7 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11204,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11206,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n7),succ(n7))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,11205,theory(equality)]) ).
cnf(11207,plain,
( sum(sum(pred(esk5_0),succ(n7)),sum(pred(n7),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,11205,theory(equality)]) ).
cnf(11208,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n3) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11206,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(11209,plain,
( sum(sum(pred(esk5_0),n8),sum(n6,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11207,217,theory(equality)]),206,theory(equality)]) ).
cnf(11212,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11185,11181,theory(equality)]) ).
cnf(11213,plain,
( n7 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11212,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11216,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11208,11213,theory(equality)]) ).
cnf(11219,plain,
( n6 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11216,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(11222,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n6),succ(n6))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,11219,theory(equality)]) ).
cnf(11223,plain,
( sum(sum(pred(esk7_0),succ(n6)),sum(pred(n6),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,11219,theory(equality)]) ).
cnf(11224,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n1) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11222,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(11225,plain,
( sum(sum(pred(esk7_0),n7),sum(n5,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11223,218,theory(equality)]),207,theory(equality)]) ).
cnf(11228,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11209,11213,theory(equality)]) ).
cnf(11229,plain,
( n6 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11228,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(11232,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11224,11229,theory(equality)]) ).
cnf(11235,plain,
( n2 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11232,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11236,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n2),succ(n2))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,11235,theory(equality)]) ).
cnf(11237,plain,
( sum(sum(pred(esk9_0),succ(n2)),sum(pred(n2),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,11235,theory(equality)]) ).
cnf(11238,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n4) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11236,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(11239,plain,
( sum(sum(pred(esk9_0),n3),sum(n1,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11237,222,theory(equality)]),211,theory(equality)]) ).
cnf(11244,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11225,11229,theory(equality)]) ).
cnf(11245,plain,
( n2 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11244,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11248,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11238,11245,theory(equality)]) ).
cnf(11251,plain,
( n8 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11248,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11252,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n8),succ(n8))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,11251,theory(equality)]) ).
cnf(11253,plain,
( sum(sum(pred(esk11_0),succ(n8)),sum(pred(n8),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,11251,theory(equality)]) ).
cnf(11254,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n5) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11252,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(11255,plain,
( sum(sum(pred(esk11_0),n9),sum(n7,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11253,216,theory(equality)]),205,theory(equality)]) ).
cnf(11260,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11239,11245,theory(equality)]) ).
cnf(11261,plain,
( n8 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11260,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11264,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11254,11261,theory(equality)]) ).
cnf(11267,plain,
( n10 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11264,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(11268,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n10),succ(n10))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,11267,theory(equality)]) ).
cnf(11269,plain,
( sum(sum(pred(esk13_0),succ(n10)),sum(pred(n10),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,11267,theory(equality)]) ).
cnf(11270,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n9) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11268,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(11271,plain,
( sum(sum(pred(esk13_0),n0),sum(n9,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11269,214,theory(equality)]),203,theory(equality)]) ).
cnf(11276,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11255,11261,theory(equality)]) ).
cnf(11277,plain,
( n10 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11276,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(11280,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11270,11277,theory(equality)]) ).
cnf(11283,plain,
( n7 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11280,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11284,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n7),succ(n7))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,11283,theory(equality)]) ).
cnf(11285,plain,
( sum(sum(pred(esk15_0),succ(n7)),sum(pred(n7),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,11283,theory(equality)]) ).
cnf(11286,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n3) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11284,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(11287,plain,
( sum(sum(pred(esk15_0),n8),sum(n6,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11285,217,theory(equality)]),206,theory(equality)]) ).
cnf(11292,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11271,11277,theory(equality)]) ).
cnf(11293,plain,
( n7 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11292,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11296,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11286,11293,theory(equality)]) ).
cnf(11299,plain,
( n6 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11296,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(11300,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n6),succ(n6))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,11299,theory(equality)]) ).
cnf(11301,plain,
( sum(sum(pred(esk17_0),succ(n6)),sum(pred(n6),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,11299,theory(equality)]) ).
cnf(11302,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n1) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11300,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(11303,plain,
( sum(sum(pred(esk17_0),n7),sum(n5,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11301,218,theory(equality)]),207,theory(equality)]) ).
cnf(11308,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11287,11293,theory(equality)]) ).
cnf(11309,plain,
( n6 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11308,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(11312,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11302,11309,theory(equality)]) ).
cnf(11315,plain,
( n2 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11312,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11316,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n2),succ(n2))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,11315,theory(equality)]) ).
cnf(11317,plain,
( sum(sum(pred(esk19_0),succ(n2)),sum(pred(n2),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,11315,theory(equality)]) ).
cnf(11318,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n4) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11316,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(11319,plain,
( sum(sum(pred(esk19_0),n3),sum(n1,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11317,222,theory(equality)]),211,theory(equality)]) ).
cnf(11324,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11303,11309,theory(equality)]) ).
cnf(11325,plain,
( n2 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11324,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11328,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11318,11325,theory(equality)]) ).
cnf(11331,plain,
( n8 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11328,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11336,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11319,11325,theory(equality)]) ).
cnf(11337,plain,
( n8 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11336,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11338,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n8 != esk22_0 ),
inference(spm,[status(thm)],[59,11337,theory(equality)]) ).
cnf(11341,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[11338,11331]) ).
cnf(11342,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n2 != esk20_0 ),
inference(spm,[status(thm)],[11341,11325,theory(equality)]) ).
cnf(11343,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[11342,11315]) ).
cnf(11344,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n6 != esk18_0 ),
inference(spm,[status(thm)],[11343,11309,theory(equality)]) ).
cnf(11345,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[11344,11299]) ).
cnf(11346,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n7 != esk16_0 ),
inference(spm,[status(thm)],[11345,11293,theory(equality)]) ).
cnf(11347,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[11346,11283]) ).
cnf(11348,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n10 != esk14_0 ),
inference(spm,[status(thm)],[11347,11277,theory(equality)]) ).
cnf(11349,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[11348,11267]) ).
cnf(11350,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n8 != esk12_0 ),
inference(spm,[status(thm)],[11349,11261,theory(equality)]) ).
cnf(11351,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[11350,11251]) ).
cnf(11352,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n2 != esk10_0 ),
inference(spm,[status(thm)],[11351,11245,theory(equality)]) ).
cnf(11353,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[11352,11235]) ).
cnf(11354,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n6 != esk8_0 ),
inference(spm,[status(thm)],[11353,11229,theory(equality)]) ).
cnf(11355,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[11354,11219]) ).
cnf(11356,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n7 != esk6_0 ),
inference(spm,[status(thm)],[11355,11213,theory(equality)]) ).
cnf(11357,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[11356,11205]) ).
cnf(11358,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != esk4_0 ),
inference(spm,[status(thm)],[11357,11181,theory(equality)]) ).
cnf(11359,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[11358,11180]) ).
cnf(11370,plain,
( sum(n1,sum(pred(n9),succ(n9))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[10993,11359,theory(equality)]) ).
cnf(11371,plain,
( sum(sum(n5,succ(n9)),sum(pred(n9),n7)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[10994,11359,theory(equality)]) ).
cnf(11374,plain,
( n8 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11370,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),184,theory(equality)]) ).
cnf(11375,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11371,215,theory(equality)]),137,theory(equality)]),204,theory(equality)]),107,theory(equality)]),154,theory(equality)]) ).
cnf(11376,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n8),succ(n8))) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,11374,theory(equality)]) ).
cnf(11377,plain,
( sum(sum(pred(esk3_0),succ(n8)),sum(pred(n8),succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,11374,theory(equality)]) ).
cnf(11378,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n5) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11376,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(11379,plain,
( sum(sum(pred(esk3_0),n9),sum(n7,succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11377,216,theory(equality)]),205,theory(equality)]) ).
cnf(11391,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11378,11375,theory(equality)]) ).
cnf(11392,plain,
( n10 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11391,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(11393,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n10),succ(n10))) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,11392,theory(equality)]) ).
cnf(11394,plain,
( sum(sum(pred(esk5_0),succ(n10)),sum(pred(n10),succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,11392,theory(equality)]) ).
cnf(11395,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n9) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11393,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(11396,plain,
( sum(sum(pred(esk5_0),n0),sum(n9,succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11394,214,theory(equality)]),203,theory(equality)]) ).
cnf(11406,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11379,11375,theory(equality)]) ).
cnf(11407,plain,
( n10 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11406,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(11410,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11395,11407,theory(equality)]) ).
cnf(11413,plain,
( n7 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11410,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11414,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n7),succ(n7))) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,11413,theory(equality)]) ).
cnf(11415,plain,
( sum(sum(pred(esk7_0),succ(n7)),sum(pred(n7),succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,11413,theory(equality)]) ).
cnf(11416,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n3) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11414,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(11417,plain,
( sum(sum(pred(esk7_0),n8),sum(n6,succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11415,217,theory(equality)]),206,theory(equality)]) ).
cnf(11422,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11396,11407,theory(equality)]) ).
cnf(11423,plain,
( n7 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11422,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11426,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11416,11423,theory(equality)]) ).
cnf(11429,plain,
( n6 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11426,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(11430,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n6),succ(n6))) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,11429,theory(equality)]) ).
cnf(11431,plain,
( sum(sum(pred(esk9_0),succ(n6)),sum(pred(n6),succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,11429,theory(equality)]) ).
cnf(11432,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n1) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11430,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(11433,plain,
( sum(sum(pred(esk9_0),n7),sum(n5,succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11431,218,theory(equality)]),207,theory(equality)]) ).
cnf(11438,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11417,11423,theory(equality)]) ).
cnf(11439,plain,
( n6 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11438,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(11442,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11432,11439,theory(equality)]) ).
cnf(11445,plain,
( n2 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11442,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11446,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n2),succ(n2))) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,11445,theory(equality)]) ).
cnf(11447,plain,
( sum(sum(pred(esk11_0),succ(n2)),sum(pred(n2),succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,11445,theory(equality)]) ).
cnf(11448,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n4) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11446,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(11449,plain,
( sum(sum(pred(esk11_0),n3),sum(n1,succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11447,222,theory(equality)]),211,theory(equality)]) ).
cnf(11454,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11433,11439,theory(equality)]) ).
cnf(11455,plain,
( n2 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11454,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11458,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11448,11455,theory(equality)]) ).
cnf(11461,plain,
( n8 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11458,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11462,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n8),succ(n8))) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,11461,theory(equality)]) ).
cnf(11463,plain,
( sum(sum(pred(esk13_0),succ(n8)),sum(pred(n8),succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,11461,theory(equality)]) ).
cnf(11464,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n5) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11462,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(11465,plain,
( sum(sum(pred(esk13_0),n9),sum(n7,succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11463,216,theory(equality)]),205,theory(equality)]) ).
cnf(11470,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11449,11455,theory(equality)]) ).
cnf(11471,plain,
( n8 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11470,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11474,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11464,11471,theory(equality)]) ).
cnf(11477,plain,
( n10 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11474,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(11478,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n10),succ(n10))) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,11477,theory(equality)]) ).
cnf(11479,plain,
( sum(sum(pred(esk15_0),succ(n10)),sum(pred(n10),succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,11477,theory(equality)]) ).
cnf(11480,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n9) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11478,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(11481,plain,
( sum(sum(pred(esk15_0),n0),sum(n9,succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11479,214,theory(equality)]),203,theory(equality)]) ).
cnf(11486,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11465,11471,theory(equality)]) ).
cnf(11487,plain,
( n10 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11486,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(11492,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11480,11487,theory(equality)]) ).
cnf(11495,plain,
( n7 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11492,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11496,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n7),succ(n7))) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,11495,theory(equality)]) ).
cnf(11497,plain,
( sum(sum(pred(esk17_0),succ(n7)),sum(pred(n7),succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,11495,theory(equality)]) ).
cnf(11498,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n3) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11496,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(11499,plain,
( sum(sum(pred(esk17_0),n8),sum(n6,succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11497,217,theory(equality)]),206,theory(equality)]) ).
cnf(11502,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11481,11487,theory(equality)]) ).
cnf(11503,plain,
( n7 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11502,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11506,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11498,11503,theory(equality)]) ).
cnf(11509,plain,
( n6 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11506,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(11512,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n6),succ(n6))) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,11509,theory(equality)]) ).
cnf(11513,plain,
( sum(sum(pred(esk19_0),succ(n6)),sum(pred(n6),succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,11509,theory(equality)]) ).
cnf(11514,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n1) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11512,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(11515,plain,
( sum(sum(pred(esk19_0),n7),sum(n5,succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11513,218,theory(equality)]),207,theory(equality)]) ).
cnf(11518,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11499,11503,theory(equality)]) ).
cnf(11519,plain,
( n6 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11518,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(11522,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11514,11519,theory(equality)]) ).
cnf(11525,plain,
( n2 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11522,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11530,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[11515,11519,theory(equality)]) ).
cnf(11531,plain,
( n2 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11530,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11532,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n2 != esk22_0 ),
inference(spm,[status(thm)],[59,11531,theory(equality)]) ).
cnf(11533,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[11532,11525]) ).
cnf(11534,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n6 != esk20_0 ),
inference(spm,[status(thm)],[11533,11519,theory(equality)]) ).
cnf(11535,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[11534,11509]) ).
cnf(11536,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n7 != esk18_0 ),
inference(spm,[status(thm)],[11535,11503,theory(equality)]) ).
cnf(11539,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[11536,11495]) ).
cnf(11540,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n10 != esk16_0 ),
inference(spm,[status(thm)],[11539,11487,theory(equality)]) ).
cnf(11541,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[11540,11477]) ).
cnf(11542,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n8 != esk14_0 ),
inference(spm,[status(thm)],[11541,11471,theory(equality)]) ).
cnf(11543,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[11542,11461]) ).
cnf(11544,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n2 != esk12_0 ),
inference(spm,[status(thm)],[11543,11455,theory(equality)]) ).
cnf(11545,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[11544,11445]) ).
cnf(11546,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n6 != esk10_0 ),
inference(spm,[status(thm)],[11545,11439,theory(equality)]) ).
cnf(11547,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[11546,11429]) ).
cnf(11548,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n7 != esk8_0 ),
inference(spm,[status(thm)],[11547,11423,theory(equality)]) ).
cnf(11549,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[11548,11413]) ).
cnf(11550,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n10 != esk6_0 ),
inference(spm,[status(thm)],[11549,11407,theory(equality)]) ).
cnf(11551,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[11550,11392]) ).
cnf(11552,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n8 != esk4_0 ),
inference(spm,[status(thm)],[11551,11375,theory(equality)]) ).
cnf(11553,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(csr,[status(thm)],[11552,11374]) ).
cnf(11563,plain,
( sum(n1,sum(pred(n8),succ(n8))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10993,11553,theory(equality)]) ).
cnf(11564,plain,
( sum(sum(n5,succ(n8)),sum(pred(n8),n7)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10994,11553,theory(equality)]) ).
cnf(11567,plain,
( n6 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11563,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),186,theory(equality)]) ).
cnf(11568,plain,
( n6 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11564,216,theory(equality)]),138,theory(equality)]),205,theory(equality)]),118,theory(equality)]),166,theory(equality)]) ).
cnf(11569,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n6),succ(n6))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,11567,theory(equality)]) ).
cnf(11570,plain,
( sum(sum(pred(esk3_0),succ(n6)),sum(pred(n6),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,11567,theory(equality)]) ).
cnf(11571,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n1) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11569,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(11572,plain,
( sum(sum(pred(esk3_0),n7),sum(n5,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11570,218,theory(equality)]),207,theory(equality)]) ).
cnf(11584,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11571,11568,theory(equality)]) ).
cnf(11585,plain,
( n2 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11584,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11586,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n2),succ(n2))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,11585,theory(equality)]) ).
cnf(11587,plain,
( sum(sum(pred(esk5_0),succ(n2)),sum(pred(n2),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,11585,theory(equality)]) ).
cnf(11588,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n4) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11586,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(11589,plain,
( sum(sum(pred(esk5_0),n3),sum(n1,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11587,222,theory(equality)]),211,theory(equality)]) ).
cnf(11599,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11572,11568,theory(equality)]) ).
cnf(11600,plain,
( n2 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11599,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11603,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11588,11600,theory(equality)]) ).
cnf(11606,plain,
( n8 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11603,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11607,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n8),succ(n8))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,11606,theory(equality)]) ).
cnf(11608,plain,
( sum(sum(pred(esk7_0),succ(n8)),sum(pred(n8),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,11606,theory(equality)]) ).
cnf(11609,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n5) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11607,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(11610,plain,
( sum(sum(pred(esk7_0),n9),sum(n7,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11608,216,theory(equality)]),205,theory(equality)]) ).
cnf(11615,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11589,11600,theory(equality)]) ).
cnf(11616,plain,
( n8 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11615,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11621,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11609,11616,theory(equality)]) ).
cnf(11624,plain,
( n10 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11621,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(11625,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n10),succ(n10))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,11624,theory(equality)]) ).
cnf(11626,plain,
( sum(sum(pred(esk9_0),succ(n10)),sum(pred(n10),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,11624,theory(equality)]) ).
cnf(11627,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n9) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11625,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(11628,plain,
( sum(sum(pred(esk9_0),n0),sum(n9,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11626,214,theory(equality)]),203,theory(equality)]) ).
cnf(11631,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11610,11616,theory(equality)]) ).
cnf(11632,plain,
( n10 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11631,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(11635,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11627,11632,theory(equality)]) ).
cnf(11638,plain,
( n7 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11635,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11641,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n7),succ(n7))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,11638,theory(equality)]) ).
cnf(11642,plain,
( sum(sum(pred(esk11_0),succ(n7)),sum(pred(n7),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,11638,theory(equality)]) ).
cnf(11643,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n3) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11641,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(11644,plain,
( sum(sum(pred(esk11_0),n8),sum(n6,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11642,217,theory(equality)]),206,theory(equality)]) ).
cnf(11647,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11628,11632,theory(equality)]) ).
cnf(11648,plain,
( n7 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11647,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11651,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11643,11648,theory(equality)]) ).
cnf(11654,plain,
( n6 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11651,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(11655,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n6),succ(n6))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,11654,theory(equality)]) ).
cnf(11656,plain,
( sum(sum(pred(esk13_0),succ(n6)),sum(pred(n6),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,11654,theory(equality)]) ).
cnf(11657,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n1) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11655,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(11658,plain,
( sum(sum(pred(esk13_0),n7),sum(n5,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11656,218,theory(equality)]),207,theory(equality)]) ).
cnf(11663,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11644,11648,theory(equality)]) ).
cnf(11664,plain,
( n6 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11663,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(11667,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11657,11664,theory(equality)]) ).
cnf(11670,plain,
( n2 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11667,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11671,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n2),succ(n2))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,11670,theory(equality)]) ).
cnf(11672,plain,
( sum(sum(pred(esk15_0),succ(n2)),sum(pred(n2),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,11670,theory(equality)]) ).
cnf(11673,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n4) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11671,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(11674,plain,
( sum(sum(pred(esk15_0),n3),sum(n1,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11672,222,theory(equality)]),211,theory(equality)]) ).
cnf(11679,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11658,11664,theory(equality)]) ).
cnf(11680,plain,
( n2 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11679,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11683,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11673,11680,theory(equality)]) ).
cnf(11686,plain,
( n8 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11683,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11687,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n8),succ(n8))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,11686,theory(equality)]) ).
cnf(11688,plain,
( sum(sum(pred(esk17_0),succ(n8)),sum(pred(n8),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,11686,theory(equality)]) ).
cnf(11689,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n5) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11687,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(11690,plain,
( sum(sum(pred(esk17_0),n9),sum(n7,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11688,216,theory(equality)]),205,theory(equality)]) ).
cnf(11695,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11674,11680,theory(equality)]) ).
cnf(11696,plain,
( n8 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11695,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11699,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11689,11696,theory(equality)]) ).
cnf(11702,plain,
( n10 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11699,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(11703,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n10),succ(n10))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,11702,theory(equality)]) ).
cnf(11704,plain,
( sum(sum(pred(esk19_0),succ(n10)),sum(pred(n10),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,11702,theory(equality)]) ).
cnf(11705,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n9) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11703,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(11706,plain,
( sum(sum(pred(esk19_0),n0),sum(n9,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11704,214,theory(equality)]),203,theory(equality)]) ).
cnf(11711,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11690,11696,theory(equality)]) ).
cnf(11712,plain,
( n10 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11711,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(11715,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11705,11712,theory(equality)]) ).
cnf(11718,plain,
( n7 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11715,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11723,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11706,11712,theory(equality)]) ).
cnf(11724,plain,
( n7 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11723,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(11725,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n7 != esk22_0 ),
inference(spm,[status(thm)],[59,11724,theory(equality)]) ).
cnf(11728,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[11725,11718]) ).
cnf(11729,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n10 != esk20_0 ),
inference(spm,[status(thm)],[11728,11712,theory(equality)]) ).
cnf(11730,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[11729,11702]) ).
cnf(11731,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n8 != esk18_0 ),
inference(spm,[status(thm)],[11730,11696,theory(equality)]) ).
cnf(11732,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[11731,11686]) ).
cnf(11733,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n2 != esk16_0 ),
inference(spm,[status(thm)],[11732,11680,theory(equality)]) ).
cnf(11734,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[11733,11670]) ).
cnf(11735,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n6 != esk14_0 ),
inference(spm,[status(thm)],[11734,11664,theory(equality)]) ).
cnf(11736,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[11735,11654]) ).
cnf(11737,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n7 != esk12_0 ),
inference(spm,[status(thm)],[11736,11648,theory(equality)]) ).
cnf(11738,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[11737,11638]) ).
cnf(11739,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n10 != esk10_0 ),
inference(spm,[status(thm)],[11738,11632,theory(equality)]) ).
cnf(11740,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[11739,11624]) ).
cnf(11741,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n8 != esk8_0 ),
inference(spm,[status(thm)],[11740,11616,theory(equality)]) ).
cnf(11742,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[11741,11606]) ).
cnf(11743,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n2 != esk6_0 ),
inference(spm,[status(thm)],[11742,11600,theory(equality)]) ).
cnf(11744,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[11743,11585]) ).
cnf(11745,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != esk4_0 ),
inference(spm,[status(thm)],[11744,11568,theory(equality)]) ).
cnf(11746,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[11745,11567]) ).
cnf(11755,plain,
( sum(n1,sum(pred(n7),succ(n7))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[10993,11746,theory(equality)]) ).
cnf(11756,plain,
( sum(sum(n5,succ(n7)),sum(pred(n7),n7)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[10994,11746,theory(equality)]) ).
cnf(11759,plain,
( n4 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11755,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),188,theory(equality)]) ).
cnf(11760,plain,
( n4 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11756,217,theory(equality)]),139,theory(equality)]),206,theory(equality)]),129,theory(equality)]),178,theory(equality)]) ).
cnf(11761,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n4),succ(n4))) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,11759,theory(equality)]) ).
cnf(11762,plain,
( sum(sum(pred(esk3_0),succ(n4)),sum(pred(n4),succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,11759,theory(equality)]) ).
cnf(11763,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n8) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11761,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(11764,plain,
( sum(sum(pred(esk3_0),n5),sum(n3,succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11762,220,theory(equality)]),209,theory(equality)]) ).
cnf(11776,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11763,11760,theory(equality)]) ).
cnf(11777,plain,
( n5 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11776,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(11778,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n5),succ(n5))) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,11777,theory(equality)]) ).
cnf(11779,plain,
( sum(sum(pred(esk5_0),succ(n5)),sum(pred(n5),succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,11777,theory(equality)]) ).
cnf(11780,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n10) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11778,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(11781,plain,
( sum(sum(pred(esk5_0),n6),sum(n4,succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11779,219,theory(equality)]),208,theory(equality)]) ).
cnf(11791,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11764,11760,theory(equality)]) ).
cnf(11792,plain,
( n5 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11791,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(11795,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11780,11792,theory(equality)]) ).
cnf(11798,plain,
( n9 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11795,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(11799,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n9),succ(n9))) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,11798,theory(equality)]) ).
cnf(11800,plain,
( sum(sum(pred(esk7_0),succ(n9)),sum(pred(n9),succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,11798,theory(equality)]) ).
cnf(11801,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n7) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11799,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(11802,plain,
( sum(sum(pred(esk7_0),n10),sum(n8,succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11800,215,theory(equality)]),204,theory(equality)]) ).
cnf(11807,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11781,11792,theory(equality)]) ).
cnf(11808,plain,
( n9 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11807,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(11811,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11801,11808,theory(equality)]) ).
cnf(11814,plain,
( n3 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11811,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(11815,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n3),succ(n3))) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,11814,theory(equality)]) ).
cnf(11816,plain,
( sum(sum(pred(esk9_0),succ(n3)),sum(pred(n3),succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,11814,theory(equality)]) ).
cnf(11817,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n6) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11815,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(11818,plain,
( sum(sum(pred(esk9_0),n4),sum(n2,succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11816,221,theory(equality)]),210,theory(equality)]) ).
cnf(11823,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11802,11808,theory(equality)]) ).
cnf(11824,plain,
( n3 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11823,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(11827,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11817,11824,theory(equality)]) ).
cnf(11830,plain,
( n1 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11827,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(11831,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n1),succ(n1))) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,11830,theory(equality)]) ).
cnf(11832,plain,
( sum(sum(pred(esk11_0),succ(n1)),sum(pred(n1),succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,11830,theory(equality)]) ).
cnf(11833,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n2) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11831,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(11834,plain,
( sum(sum(pred(esk11_0),n2),sum(n0,succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11832,223,theory(equality)]),212,theory(equality)]) ).
cnf(11839,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11818,11824,theory(equality)]) ).
cnf(11840,plain,
( n1 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11839,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(11843,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11833,11840,theory(equality)]) ).
cnf(11846,plain,
( n4 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11843,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(11847,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n4),succ(n4))) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,11846,theory(equality)]) ).
cnf(11848,plain,
( sum(sum(pred(esk13_0),succ(n4)),sum(pred(n4),succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,11846,theory(equality)]) ).
cnf(11849,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n8) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11847,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(11850,plain,
( sum(sum(pred(esk13_0),n5),sum(n3,succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11848,220,theory(equality)]),209,theory(equality)]) ).
cnf(11855,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11834,11840,theory(equality)]) ).
cnf(11856,plain,
( n4 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11855,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(11859,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11849,11856,theory(equality)]) ).
cnf(11862,plain,
( n5 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11859,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(11863,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n5),succ(n5))) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,11862,theory(equality)]) ).
cnf(11864,plain,
( sum(sum(pred(esk15_0),succ(n5)),sum(pred(n5),succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,11862,theory(equality)]) ).
cnf(11865,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n10) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11863,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(11866,plain,
( sum(sum(pred(esk15_0),n6),sum(n4,succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11864,219,theory(equality)]),208,theory(equality)]) ).
cnf(11871,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11850,11856,theory(equality)]) ).
cnf(11872,plain,
( n5 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11871,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(11877,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11865,11872,theory(equality)]) ).
cnf(11880,plain,
( n9 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11877,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(11881,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n9),succ(n9))) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,11880,theory(equality)]) ).
cnf(11882,plain,
( sum(sum(pred(esk17_0),succ(n9)),sum(pred(n9),succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,11880,theory(equality)]) ).
cnf(11883,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n7) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11881,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(11884,plain,
( sum(sum(pred(esk17_0),n10),sum(n8,succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11882,215,theory(equality)]),204,theory(equality)]) ).
cnf(11887,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11866,11872,theory(equality)]) ).
cnf(11888,plain,
( n9 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11887,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(11891,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11883,11888,theory(equality)]) ).
cnf(11894,plain,
( n3 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11891,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(11897,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n3),succ(n3))) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,11894,theory(equality)]) ).
cnf(11898,plain,
( sum(sum(pred(esk19_0),succ(n3)),sum(pred(n3),succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,11894,theory(equality)]) ).
cnf(11899,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n6) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11897,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(11900,plain,
( sum(sum(pred(esk19_0),n4),sum(n2,succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11898,221,theory(equality)]),210,theory(equality)]) ).
cnf(11903,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11884,11888,theory(equality)]) ).
cnf(11904,plain,
( n3 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11903,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(11907,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11899,11904,theory(equality)]) ).
cnf(11910,plain,
( n1 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11907,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(11915,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[11900,11904,theory(equality)]) ).
cnf(11916,plain,
( n1 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11915,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(11917,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n1 != esk22_0 ),
inference(spm,[status(thm)],[59,11916,theory(equality)]) ).
cnf(11918,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[11917,11910]) ).
cnf(11919,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n3 != esk20_0 ),
inference(spm,[status(thm)],[11918,11904,theory(equality)]) ).
cnf(11920,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[11919,11894]) ).
cnf(11921,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n9 != esk18_0 ),
inference(spm,[status(thm)],[11920,11888,theory(equality)]) ).
cnf(11924,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[11921,11880]) ).
cnf(11925,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n5 != esk16_0 ),
inference(spm,[status(thm)],[11924,11872,theory(equality)]) ).
cnf(11926,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[11925,11862]) ).
cnf(11927,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n4 != esk14_0 ),
inference(spm,[status(thm)],[11926,11856,theory(equality)]) ).
cnf(11928,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[11927,11846]) ).
cnf(11929,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n1 != esk12_0 ),
inference(spm,[status(thm)],[11928,11840,theory(equality)]) ).
cnf(11930,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[11929,11830]) ).
cnf(11931,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n3 != esk10_0 ),
inference(spm,[status(thm)],[11930,11824,theory(equality)]) ).
cnf(11932,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[11931,11814]) ).
cnf(11933,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n9 != esk8_0 ),
inference(spm,[status(thm)],[11932,11808,theory(equality)]) ).
cnf(11934,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[11933,11798]) ).
cnf(11935,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n5 != esk6_0 ),
inference(spm,[status(thm)],[11934,11792,theory(equality)]) ).
cnf(11936,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[11935,11777]) ).
cnf(11937,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n4 != esk4_0 ),
inference(spm,[status(thm)],[11936,11760,theory(equality)]) ).
cnf(11938,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(csr,[status(thm)],[11937,11759]) ).
cnf(11946,plain,
( sum(n1,sum(pred(n6),succ(n6))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10993,11938,theory(equality)]) ).
cnf(11947,plain,
( sum(sum(n5,succ(n6)),sum(pred(n6),n7)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10994,11938,theory(equality)]) ).
cnf(11950,plain,
( n2 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11946,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11951,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11947,218,theory(equality)]),140,theory(equality)]),207,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(11952,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n2),succ(n2))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,11950,theory(equality)]) ).
cnf(11953,plain,
( sum(sum(pred(esk3_0),succ(n2)),sum(pred(n2),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,11950,theory(equality)]) ).
cnf(11954,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n4) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11952,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(11955,plain,
( sum(sum(pred(esk3_0),n3),sum(n1,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11953,222,theory(equality)]),211,theory(equality)]) ).
cnf(11974,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11954,11951,theory(equality)]) ).
cnf(11975,plain,
( n8 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11974,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11976,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n8),succ(n8))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,11975,theory(equality)]) ).
cnf(11977,plain,
( sum(sum(pred(esk5_0),succ(n8)),sum(pred(n8),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,11975,theory(equality)]) ).
cnf(11978,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n5) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11976,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(11979,plain,
( sum(sum(pred(esk5_0),n9),sum(n7,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11977,216,theory(equality)]),205,theory(equality)]) ).
cnf(11982,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11955,11951,theory(equality)]) ).
cnf(11983,plain,
( n8 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11982,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(11986,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11978,11983,theory(equality)]) ).
cnf(11989,plain,
( n10 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11986,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(11992,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n10),succ(n10))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,11989,theory(equality)]) ).
cnf(11993,plain,
( sum(sum(pred(esk7_0),succ(n10)),sum(pred(n10),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,11989,theory(equality)]) ).
cnf(11994,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n9) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11992,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(11995,plain,
( sum(sum(pred(esk7_0),n0),sum(n9,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11993,214,theory(equality)]),203,theory(equality)]) ).
cnf(11998,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11979,11983,theory(equality)]) ).
cnf(11999,plain,
( n10 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11998,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(12002,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11994,11999,theory(equality)]) ).
cnf(12005,plain,
( n7 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12002,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(12006,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n7),succ(n7))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,12005,theory(equality)]) ).
cnf(12007,plain,
( sum(sum(pred(esk9_0),succ(n7)),sum(pred(n7),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,12005,theory(equality)]) ).
cnf(12008,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n3) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12006,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(12009,plain,
( sum(sum(pred(esk9_0),n8),sum(n6,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12007,217,theory(equality)]),206,theory(equality)]) ).
cnf(12014,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[11995,11999,theory(equality)]) ).
cnf(12015,plain,
( n7 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12014,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(12018,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12008,12015,theory(equality)]) ).
cnf(12021,plain,
( n6 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12018,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(12022,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n6),succ(n6))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,12021,theory(equality)]) ).
cnf(12023,plain,
( sum(sum(pred(esk11_0),succ(n6)),sum(pred(n6),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,12021,theory(equality)]) ).
cnf(12024,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n1) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12022,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(12025,plain,
( sum(sum(pred(esk11_0),n7),sum(n5,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12023,218,theory(equality)]),207,theory(equality)]) ).
cnf(12030,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12009,12015,theory(equality)]) ).
cnf(12031,plain,
( n6 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12030,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(12034,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12024,12031,theory(equality)]) ).
cnf(12037,plain,
( n2 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12034,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(12038,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n2),succ(n2))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,12037,theory(equality)]) ).
cnf(12039,plain,
( sum(sum(pred(esk13_0),succ(n2)),sum(pred(n2),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,12037,theory(equality)]) ).
cnf(12040,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n4) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12038,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(12041,plain,
( sum(sum(pred(esk13_0),n3),sum(n1,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12039,222,theory(equality)]),211,theory(equality)]) ).
cnf(12046,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12025,12031,theory(equality)]) ).
cnf(12047,plain,
( n2 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12046,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(12050,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12040,12047,theory(equality)]) ).
cnf(12053,plain,
( n8 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12050,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(12054,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n8),succ(n8))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,12053,theory(equality)]) ).
cnf(12055,plain,
( sum(sum(pred(esk15_0),succ(n8)),sum(pred(n8),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,12053,theory(equality)]) ).
cnf(12056,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n5) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12054,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(12057,plain,
( sum(sum(pred(esk15_0),n9),sum(n7,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12055,216,theory(equality)]),205,theory(equality)]) ).
cnf(12062,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12041,12047,theory(equality)]) ).
cnf(12063,plain,
( n8 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12062,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(12066,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12056,12063,theory(equality)]) ).
cnf(12069,plain,
( n10 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12066,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(12070,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n10),succ(n10))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,12069,theory(equality)]) ).
cnf(12071,plain,
( sum(sum(pred(esk17_0),succ(n10)),sum(pred(n10),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,12069,theory(equality)]) ).
cnf(12072,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n9) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12070,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(12073,plain,
( sum(sum(pred(esk17_0),n0),sum(n9,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12071,214,theory(equality)]),203,theory(equality)]) ).
cnf(12078,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12057,12063,theory(equality)]) ).
cnf(12079,plain,
( n10 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12078,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(12082,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12072,12079,theory(equality)]) ).
cnf(12085,plain,
( n7 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12082,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(12086,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n7),succ(n7))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,12085,theory(equality)]) ).
cnf(12087,plain,
( sum(sum(pred(esk19_0),succ(n7)),sum(pred(n7),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,12085,theory(equality)]) ).
cnf(12088,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n3) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12086,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(12089,plain,
( sum(sum(pred(esk19_0),n8),sum(n6,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12087,217,theory(equality)]),206,theory(equality)]) ).
cnf(12094,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12073,12079,theory(equality)]) ).
cnf(12095,plain,
( n7 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12094,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(12098,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12088,12095,theory(equality)]) ).
cnf(12101,plain,
( n6 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12098,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(12106,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12089,12095,theory(equality)]) ).
cnf(12107,plain,
( n6 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12106,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(12108,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n6 != esk22_0 ),
inference(spm,[status(thm)],[59,12107,theory(equality)]) ).
cnf(12111,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[12108,12101]) ).
cnf(12112,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n7 != esk20_0 ),
inference(spm,[status(thm)],[12111,12095,theory(equality)]) ).
cnf(12113,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[12112,12085]) ).
cnf(12114,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n10 != esk18_0 ),
inference(spm,[status(thm)],[12113,12079,theory(equality)]) ).
cnf(12115,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[12114,12069]) ).
cnf(12116,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n8 != esk16_0 ),
inference(spm,[status(thm)],[12115,12063,theory(equality)]) ).
cnf(12117,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[12116,12053]) ).
cnf(12118,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n2 != esk14_0 ),
inference(spm,[status(thm)],[12117,12047,theory(equality)]) ).
cnf(12119,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[12118,12037]) ).
cnf(12120,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n6 != esk12_0 ),
inference(spm,[status(thm)],[12119,12031,theory(equality)]) ).
cnf(12121,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[12120,12021]) ).
cnf(12122,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n7 != esk10_0 ),
inference(spm,[status(thm)],[12121,12015,theory(equality)]) ).
cnf(12123,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[12122,12005]) ).
cnf(12124,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n10 != esk8_0 ),
inference(spm,[status(thm)],[12123,11999,theory(equality)]) ).
cnf(12125,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[12124,11989]) ).
cnf(12126,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n8 != esk6_0 ),
inference(spm,[status(thm)],[12125,11983,theory(equality)]) ).
cnf(12127,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[12126,11975]) ).
cnf(12128,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != esk4_0 ),
inference(spm,[status(thm)],[12127,11951,theory(equality)]) ).
cnf(12129,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[12128,11950]) ).
cnf(12136,plain,
( sum(n1,sum(pred(n5),succ(n5))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10993,12129,theory(equality)]) ).
cnf(12137,plain,
( sum(sum(n5,succ(n5)),sum(pred(n5),n7)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[10994,12129,theory(equality)]) ).
cnf(12140,plain,
( n0 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12136,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),181,theory(equality)]) ).
cnf(12141,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12137,219,theory(equality)]),141,theory(equality)]),208,theory(equality)]),151,theory(equality)]),202,theory(equality)]) ).
cnf(12142,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n0),succ(n0))) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,12140,theory(equality)]) ).
cnf(12143,plain,
( sum(sum(pred(esk3_0),succ(n0)),sum(pred(n0),succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,12140,theory(equality)]) ).
cnf(12144,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n0) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12142,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(12145,plain,
( sum(sum(pred(esk3_0),n1),sum(n10,succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12143,224,theory(equality)]),213,theory(equality)]) ).
cnf(12157,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12144,12141,theory(equality)]) ).
cnf(12158,plain,
( n0 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12157,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12159,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n0),succ(n0))) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,12158,theory(equality)]) ).
cnf(12160,plain,
( sum(sum(pred(esk5_0),succ(n0)),sum(pred(n0),succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,12158,theory(equality)]) ).
cnf(12161,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n0) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12159,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(12162,plain,
( sum(sum(pred(esk5_0),n1),sum(n10,succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12160,224,theory(equality)]),213,theory(equality)]) ).
cnf(12172,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12145,12141,theory(equality)]) ).
cnf(12173,plain,
( n0 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12172,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12176,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12161,12173,theory(equality)]) ).
cnf(12179,plain,
( n0 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12176,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12180,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n0),succ(n0))) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,12179,theory(equality)]) ).
cnf(12181,plain,
( sum(sum(pred(esk7_0),succ(n0)),sum(pred(n0),succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,12179,theory(equality)]) ).
cnf(12182,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n0) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12180,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(12183,plain,
( sum(sum(pred(esk7_0),n1),sum(n10,succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12181,224,theory(equality)]),213,theory(equality)]) ).
cnf(12188,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12162,12173,theory(equality)]) ).
cnf(12189,plain,
( n0 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12188,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12194,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12182,12189,theory(equality)]) ).
cnf(12197,plain,
( n0 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12194,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12198,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n0),succ(n0))) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,12197,theory(equality)]) ).
cnf(12199,plain,
( sum(sum(pred(esk9_0),succ(n0)),sum(pred(n0),succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,12197,theory(equality)]) ).
cnf(12200,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n0) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12198,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(12201,plain,
( sum(sum(pred(esk9_0),n1),sum(n10,succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12199,224,theory(equality)]),213,theory(equality)]) ).
cnf(12204,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12183,12189,theory(equality)]) ).
cnf(12205,plain,
( n0 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12204,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12208,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12200,12205,theory(equality)]) ).
cnf(12211,plain,
( n0 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12208,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12214,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n0),succ(n0))) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,12211,theory(equality)]) ).
cnf(12215,plain,
( sum(sum(pred(esk11_0),succ(n0)),sum(pred(n0),succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,12211,theory(equality)]) ).
cnf(12216,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n0) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12214,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(12217,plain,
( sum(sum(pred(esk11_0),n1),sum(n10,succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12215,224,theory(equality)]),213,theory(equality)]) ).
cnf(12220,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12201,12205,theory(equality)]) ).
cnf(12221,plain,
( n0 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12220,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12224,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12216,12221,theory(equality)]) ).
cnf(12227,plain,
( n0 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12224,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12228,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n0),succ(n0))) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,12227,theory(equality)]) ).
cnf(12229,plain,
( sum(sum(pred(esk13_0),succ(n0)),sum(pred(n0),succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,12227,theory(equality)]) ).
cnf(12230,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n0) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12228,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(12231,plain,
( sum(sum(pred(esk13_0),n1),sum(n10,succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12229,224,theory(equality)]),213,theory(equality)]) ).
cnf(12236,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12217,12221,theory(equality)]) ).
cnf(12237,plain,
( n0 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12236,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12240,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12230,12237,theory(equality)]) ).
cnf(12243,plain,
( n0 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12240,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12244,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n0),succ(n0))) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,12243,theory(equality)]) ).
cnf(12245,plain,
( sum(sum(pred(esk15_0),succ(n0)),sum(pred(n0),succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,12243,theory(equality)]) ).
cnf(12246,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n0) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12244,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(12247,plain,
( sum(sum(pred(esk15_0),n1),sum(n10,succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12245,224,theory(equality)]),213,theory(equality)]) ).
cnf(12252,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12231,12237,theory(equality)]) ).
cnf(12253,plain,
( n0 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12252,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12256,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12246,12253,theory(equality)]) ).
cnf(12259,plain,
( n0 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12256,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12260,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n0),succ(n0))) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,12259,theory(equality)]) ).
cnf(12261,plain,
( sum(sum(pred(esk17_0),succ(n0)),sum(pred(n0),succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,12259,theory(equality)]) ).
cnf(12262,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n0) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12260,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(12263,plain,
( sum(sum(pred(esk17_0),n1),sum(n10,succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12261,224,theory(equality)]),213,theory(equality)]) ).
cnf(12268,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12247,12253,theory(equality)]) ).
cnf(12269,plain,
( n0 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12268,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12272,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12262,12269,theory(equality)]) ).
cnf(12275,plain,
( n0 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12272,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12276,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n0),succ(n0))) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,12275,theory(equality)]) ).
cnf(12277,plain,
( sum(sum(pred(esk19_0),succ(n0)),sum(pred(n0),succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,12275,theory(equality)]) ).
cnf(12278,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n0) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12276,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(12279,plain,
( sum(sum(pred(esk19_0),n1),sum(n10,succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12277,224,theory(equality)]),213,theory(equality)]) ).
cnf(12284,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12263,12269,theory(equality)]) ).
cnf(12285,plain,
( n0 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12284,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12288,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12278,12285,theory(equality)]) ).
cnf(12291,plain,
( n0 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12288,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12296,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[12279,12285,theory(equality)]) ).
cnf(12297,plain,
( n0 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12296,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(12298,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n0 != esk22_0 ),
inference(spm,[status(thm)],[59,12297,theory(equality)]) ).
cnf(12301,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[12298,12291]) ).
cnf(12302,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n0 != esk20_0 ),
inference(spm,[status(thm)],[12301,12285,theory(equality)]) ).
cnf(12303,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[12302,12275]) ).
cnf(12304,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n0 != esk18_0 ),
inference(spm,[status(thm)],[12303,12269,theory(equality)]) ).
cnf(12305,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[12304,12259]) ).
cnf(12306,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n0 != esk16_0 ),
inference(spm,[status(thm)],[12305,12253,theory(equality)]) ).
cnf(12307,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[12306,12243]) ).
cnf(12308,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n0 != esk14_0 ),
inference(spm,[status(thm)],[12307,12237,theory(equality)]) ).
cnf(12309,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[12308,12227]) ).
cnf(12310,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n0 != esk12_0 ),
inference(spm,[status(thm)],[12309,12221,theory(equality)]) ).
cnf(12311,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[12310,12211]) ).
cnf(12312,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n0 != esk10_0 ),
inference(spm,[status(thm)],[12311,12205,theory(equality)]) ).
cnf(12313,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[12312,12197]) ).
cnf(12314,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n0 != esk8_0 ),
inference(spm,[status(thm)],[12313,12189,theory(equality)]) ).
cnf(12315,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[12314,12179]) ).
cnf(12316,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n0 != esk6_0 ),
inference(spm,[status(thm)],[12315,12173,theory(equality)]) ).
cnf(12317,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[12316,12158]) ).
cnf(12318,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n0 != esk4_0 ),
inference(spm,[status(thm)],[12317,12141,theory(equality)]) ).
cnf(12319,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(csr,[status(thm)],[12318,12140]) ).
cnf(12325,plain,
( sum(n1,sum(pred(n4),succ(n4))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10993,12319,theory(equality)]) ).
cnf(12326,plain,
( sum(sum(n5,succ(n4)),sum(pred(n4),n7)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10994,12319,theory(equality)]) ).
cnf(12329,plain,
( n9 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12325,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),183,theory(equality)]) ).
cnf(12330,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12326,220,theory(equality)]),142,theory(equality)]),209,theory(equality)]),162,theory(equality)]),82,theory(equality)]) ).
cnf(12331,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n9),succ(n9))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,12329,theory(equality)]) ).
cnf(12332,plain,
( sum(sum(pred(esk3_0),succ(n9)),sum(pred(n9),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,12329,theory(equality)]) ).
cnf(12333,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n7) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12331,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(12334,plain,
( sum(sum(pred(esk3_0),n10),sum(n8,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12332,215,theory(equality)]),204,theory(equality)]) ).
cnf(12346,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12333,12330,theory(equality)]) ).
cnf(12347,plain,
( n3 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12346,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(12348,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n3),succ(n3))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,12347,theory(equality)]) ).
cnf(12349,plain,
( sum(sum(pred(esk5_0),succ(n3)),sum(pred(n3),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,12347,theory(equality)]) ).
cnf(12350,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n6) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12348,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(12351,plain,
( sum(sum(pred(esk5_0),n4),sum(n2,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12349,221,theory(equality)]),210,theory(equality)]) ).
cnf(12361,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12334,12330,theory(equality)]) ).
cnf(12362,plain,
( n3 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12361,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(12365,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12350,12362,theory(equality)]) ).
cnf(12368,plain,
( n1 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12365,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(12369,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n1),succ(n1))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,12368,theory(equality)]) ).
cnf(12370,plain,
( sum(sum(pred(esk7_0),succ(n1)),sum(pred(n1),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,12368,theory(equality)]) ).
cnf(12371,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n2) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12369,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(12372,plain,
( sum(sum(pred(esk7_0),n2),sum(n0,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12370,223,theory(equality)]),212,theory(equality)]) ).
cnf(12377,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12351,12362,theory(equality)]) ).
cnf(12378,plain,
( n1 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12377,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(12381,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12371,12378,theory(equality)]) ).
cnf(12384,plain,
( n4 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12381,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(12385,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n4),succ(n4))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,12384,theory(equality)]) ).
cnf(12386,plain,
( sum(sum(pred(esk9_0),succ(n4)),sum(pred(n4),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,12384,theory(equality)]) ).
cnf(12387,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n8) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12385,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(12388,plain,
( sum(sum(pred(esk9_0),n5),sum(n3,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12386,220,theory(equality)]),209,theory(equality)]) ).
cnf(12393,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12372,12378,theory(equality)]) ).
cnf(12394,plain,
( n4 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12393,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(12399,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12387,12394,theory(equality)]) ).
cnf(12402,plain,
( n5 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12399,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(12403,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n5),succ(n5))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,12402,theory(equality)]) ).
cnf(12404,plain,
( sum(sum(pred(esk11_0),succ(n5)),sum(pred(n5),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,12402,theory(equality)]) ).
cnf(12405,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n10) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12403,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(12406,plain,
( sum(sum(pred(esk11_0),n6),sum(n4,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12404,219,theory(equality)]),208,theory(equality)]) ).
cnf(12409,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12388,12394,theory(equality)]) ).
cnf(12410,plain,
( n5 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12409,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(12413,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12405,12410,theory(equality)]) ).
cnf(12416,plain,
( n9 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12413,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(12419,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n9),succ(n9))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,12416,theory(equality)]) ).
cnf(12420,plain,
( sum(sum(pred(esk13_0),succ(n9)),sum(pred(n9),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,12416,theory(equality)]) ).
cnf(12421,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n7) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12419,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(12422,plain,
( sum(sum(pred(esk13_0),n10),sum(n8,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12420,215,theory(equality)]),204,theory(equality)]) ).
cnf(12425,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12406,12410,theory(equality)]) ).
cnf(12426,plain,
( n9 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12425,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(12429,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12421,12426,theory(equality)]) ).
cnf(12432,plain,
( n3 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12429,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(12433,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n3),succ(n3))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,12432,theory(equality)]) ).
cnf(12434,plain,
( sum(sum(pred(esk15_0),succ(n3)),sum(pred(n3),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,12432,theory(equality)]) ).
cnf(12435,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n6) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12433,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(12436,plain,
( sum(sum(pred(esk15_0),n4),sum(n2,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12434,221,theory(equality)]),210,theory(equality)]) ).
cnf(12441,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12422,12426,theory(equality)]) ).
cnf(12442,plain,
( n3 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12441,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(12445,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12435,12442,theory(equality)]) ).
cnf(12448,plain,
( n1 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12445,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(12449,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n1),succ(n1))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,12448,theory(equality)]) ).
cnf(12450,plain,
( sum(sum(pred(esk17_0),succ(n1)),sum(pred(n1),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,12448,theory(equality)]) ).
cnf(12451,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n2) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12449,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(12452,plain,
( sum(sum(pred(esk17_0),n2),sum(n0,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12450,223,theory(equality)]),212,theory(equality)]) ).
cnf(12457,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12436,12442,theory(equality)]) ).
cnf(12458,plain,
( n1 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12457,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(12461,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12451,12458,theory(equality)]) ).
cnf(12464,plain,
( n4 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12461,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(12465,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n4),succ(n4))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,12464,theory(equality)]) ).
cnf(12466,plain,
( sum(sum(pred(esk19_0),succ(n4)),sum(pred(n4),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,12464,theory(equality)]) ).
cnf(12467,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n8) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12465,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(12468,plain,
( sum(sum(pred(esk19_0),n5),sum(n3,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12466,220,theory(equality)]),209,theory(equality)]) ).
cnf(12473,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12452,12458,theory(equality)]) ).
cnf(12474,plain,
( n4 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12473,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(12477,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12467,12474,theory(equality)]) ).
cnf(12480,plain,
( n5 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12477,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(12485,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12468,12474,theory(equality)]) ).
cnf(12486,plain,
( n5 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12485,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(12487,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n5 != esk22_0 ),
inference(spm,[status(thm)],[59,12486,theory(equality)]) ).
cnf(12490,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[12487,12480]) ).
cnf(12491,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n4 != esk20_0 ),
inference(spm,[status(thm)],[12490,12474,theory(equality)]) ).
cnf(12492,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[12491,12464]) ).
cnf(12493,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n1 != esk18_0 ),
inference(spm,[status(thm)],[12492,12458,theory(equality)]) ).
cnf(12494,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[12493,12448]) ).
cnf(12495,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n3 != esk16_0 ),
inference(spm,[status(thm)],[12494,12442,theory(equality)]) ).
cnf(12496,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[12495,12432]) ).
cnf(12497,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n9 != esk14_0 ),
inference(spm,[status(thm)],[12496,12426,theory(equality)]) ).
cnf(12498,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[12497,12416]) ).
cnf(12499,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n5 != esk12_0 ),
inference(spm,[status(thm)],[12498,12410,theory(equality)]) ).
cnf(12500,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[12499,12402]) ).
cnf(12501,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n4 != esk10_0 ),
inference(spm,[status(thm)],[12500,12394,theory(equality)]) ).
cnf(12502,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[12501,12384]) ).
cnf(12503,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n1 != esk8_0 ),
inference(spm,[status(thm)],[12502,12378,theory(equality)]) ).
cnf(12504,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[12503,12368]) ).
cnf(12505,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n3 != esk6_0 ),
inference(spm,[status(thm)],[12504,12362,theory(equality)]) ).
cnf(12506,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[12505,12347]) ).
cnf(12507,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n9 != esk4_0 ),
inference(spm,[status(thm)],[12506,12330,theory(equality)]) ).
cnf(12508,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[12507,12329]) ).
cnf(12513,plain,
( sum(n1,sum(pred(n3),succ(n3))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10993,12508,theory(equality)]) ).
cnf(12514,plain,
( sum(sum(n5,succ(n3)),sum(pred(n3),n7)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[10994,12508,theory(equality)]) ).
cnf(12517,plain,
( n7 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12513,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),185,theory(equality)]) ).
cnf(12518,plain,
( n7 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12514,221,theory(equality)]),143,theory(equality)]),210,theory(equality)]),173,theory(equality)]),94,theory(equality)]) ).
cnf(12519,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n7),succ(n7))) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,12517,theory(equality)]) ).
cnf(12520,plain,
( sum(sum(pred(esk3_0),succ(n7)),sum(pred(n7),succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,12517,theory(equality)]) ).
cnf(12521,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n3) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12519,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(12522,plain,
( sum(sum(pred(esk3_0),n8),sum(n6,succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12520,217,theory(equality)]),206,theory(equality)]) ).
cnf(12534,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12521,12518,theory(equality)]) ).
cnf(12535,plain,
( n6 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12534,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(12536,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n6),succ(n6))) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,12535,theory(equality)]) ).
cnf(12537,plain,
( sum(sum(pred(esk5_0),succ(n6)),sum(pred(n6),succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,12535,theory(equality)]) ).
cnf(12538,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n1) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12536,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(12539,plain,
( sum(sum(pred(esk5_0),n7),sum(n5,succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12537,218,theory(equality)]),207,theory(equality)]) ).
cnf(12549,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12522,12518,theory(equality)]) ).
cnf(12550,plain,
( n6 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12549,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(12553,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12538,12550,theory(equality)]) ).
cnf(12556,plain,
( n2 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12553,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(12557,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n2),succ(n2))) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,12556,theory(equality)]) ).
cnf(12558,plain,
( sum(sum(pred(esk7_0),succ(n2)),sum(pred(n2),succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,12556,theory(equality)]) ).
cnf(12559,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n4) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12557,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(12560,plain,
( sum(sum(pred(esk7_0),n3),sum(n1,succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12558,222,theory(equality)]),211,theory(equality)]) ).
cnf(12565,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12539,12550,theory(equality)]) ).
cnf(12566,plain,
( n2 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12565,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(12569,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12559,12566,theory(equality)]) ).
cnf(12572,plain,
( n8 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12569,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(12573,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n8),succ(n8))) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,12572,theory(equality)]) ).
cnf(12574,plain,
( sum(sum(pred(esk9_0),succ(n8)),sum(pred(n8),succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,12572,theory(equality)]) ).
cnf(12575,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n5) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12573,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(12576,plain,
( sum(sum(pred(esk9_0),n9),sum(n7,succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12574,216,theory(equality)]),205,theory(equality)]) ).
cnf(12581,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12560,12566,theory(equality)]) ).
cnf(12582,plain,
( n8 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12581,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(12587,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12575,12582,theory(equality)]) ).
cnf(12590,plain,
( n10 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12587,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(12591,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n10),succ(n10))) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,12590,theory(equality)]) ).
cnf(12592,plain,
( sum(sum(pred(esk11_0),succ(n10)),sum(pred(n10),succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,12590,theory(equality)]) ).
cnf(12593,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n9) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12591,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(12594,plain,
( sum(sum(pred(esk11_0),n0),sum(n9,succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12592,214,theory(equality)]),203,theory(equality)]) ).
cnf(12597,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12576,12582,theory(equality)]) ).
cnf(12598,plain,
( n10 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12597,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(12601,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12593,12598,theory(equality)]) ).
cnf(12604,plain,
( n7 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12601,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(12607,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n7),succ(n7))) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,12604,theory(equality)]) ).
cnf(12608,plain,
( sum(sum(pred(esk13_0),succ(n7)),sum(pred(n7),succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,12604,theory(equality)]) ).
cnf(12609,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n3) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12607,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(12610,plain,
( sum(sum(pred(esk13_0),n8),sum(n6,succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12608,217,theory(equality)]),206,theory(equality)]) ).
cnf(12613,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12594,12598,theory(equality)]) ).
cnf(12614,plain,
( n7 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12613,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(12617,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12609,12614,theory(equality)]) ).
cnf(12620,plain,
( n6 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12617,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(12621,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n6),succ(n6))) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,12620,theory(equality)]) ).
cnf(12622,plain,
( sum(sum(pred(esk15_0),succ(n6)),sum(pred(n6),succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,12620,theory(equality)]) ).
cnf(12623,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n1) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12621,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(12624,plain,
( sum(sum(pred(esk15_0),n7),sum(n5,succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12622,218,theory(equality)]),207,theory(equality)]) ).
cnf(12629,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12610,12614,theory(equality)]) ).
cnf(12630,plain,
( n6 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12629,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(12633,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12623,12630,theory(equality)]) ).
cnf(12636,plain,
( n2 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12633,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(12637,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n2),succ(n2))) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,12636,theory(equality)]) ).
cnf(12638,plain,
( sum(sum(pred(esk17_0),succ(n2)),sum(pred(n2),succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,12636,theory(equality)]) ).
cnf(12639,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n4) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12637,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(12640,plain,
( sum(sum(pred(esk17_0),n3),sum(n1,succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12638,222,theory(equality)]),211,theory(equality)]) ).
cnf(12645,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12624,12630,theory(equality)]) ).
cnf(12646,plain,
( n2 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12645,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(12649,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12639,12646,theory(equality)]) ).
cnf(12652,plain,
( n8 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12649,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(12653,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n8),succ(n8))) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,12652,theory(equality)]) ).
cnf(12654,plain,
( sum(sum(pred(esk19_0),succ(n8)),sum(pred(n8),succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,12652,theory(equality)]) ).
cnf(12655,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n5) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12653,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(12656,plain,
( sum(sum(pred(esk19_0),n9),sum(n7,succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12654,216,theory(equality)]),205,theory(equality)]) ).
cnf(12661,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12640,12646,theory(equality)]) ).
cnf(12662,plain,
( n8 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12661,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(12665,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12655,12662,theory(equality)]) ).
cnf(12668,plain,
( n10 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12665,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(12673,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[12656,12662,theory(equality)]) ).
cnf(12674,plain,
( n10 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12673,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(12675,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n10 != esk22_0 ),
inference(spm,[status(thm)],[59,12674,theory(equality)]) ).
cnf(12678,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[12675,12668]) ).
cnf(12679,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n8 != esk20_0 ),
inference(spm,[status(thm)],[12678,12662,theory(equality)]) ).
cnf(12680,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[12679,12652]) ).
cnf(12681,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n2 != esk18_0 ),
inference(spm,[status(thm)],[12680,12646,theory(equality)]) ).
cnf(12682,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[12681,12636]) ).
cnf(12683,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n6 != esk16_0 ),
inference(spm,[status(thm)],[12682,12630,theory(equality)]) ).
cnf(12684,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[12683,12620]) ).
cnf(12685,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n7 != esk14_0 ),
inference(spm,[status(thm)],[12684,12614,theory(equality)]) ).
cnf(12686,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[12685,12604]) ).
cnf(12687,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n10 != esk12_0 ),
inference(spm,[status(thm)],[12686,12598,theory(equality)]) ).
cnf(12688,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[12687,12590]) ).
cnf(12689,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n8 != esk10_0 ),
inference(spm,[status(thm)],[12688,12582,theory(equality)]) ).
cnf(12690,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[12689,12572]) ).
cnf(12691,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n2 != esk8_0 ),
inference(spm,[status(thm)],[12690,12566,theory(equality)]) ).
cnf(12692,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[12691,12556]) ).
cnf(12693,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n6 != esk6_0 ),
inference(spm,[status(thm)],[12692,12550,theory(equality)]) ).
cnf(12694,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[12693,12535]) ).
cnf(12695,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| n7 != esk4_0 ),
inference(spm,[status(thm)],[12694,12518,theory(equality)]) ).
cnf(12696,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(csr,[status(thm)],[12695,12517]) ).
cnf(12700,plain,
( sum(n1,sum(pred(n2),succ(n2))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10993,12696,theory(equality)]) ).
cnf(12701,plain,
( sum(sum(n5,succ(n2)),sum(pred(n2),n7)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[10994,12696,theory(equality)]) ).
cnf(12704,plain,
( n5 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12700,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),187,theory(equality)]) ).
cnf(12705,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12701,222,theory(equality)]),144,theory(equality)]),211,theory(equality)]),184,theory(equality)]),106,theory(equality)]) ).
cnf(12706,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n5),succ(n5))) = esk6_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,12704,theory(equality)]) ).
cnf(12707,plain,
( sum(sum(pred(esk3_0),succ(n5)),sum(pred(n5),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,12704,theory(equality)]) ).
cnf(12708,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n10) = esk6_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12706,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(12709,plain,
( sum(sum(pred(esk3_0),n6),sum(n4,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12707,219,theory(equality)]),208,theory(equality)]) ).
cnf(12721,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12708,12705,theory(equality)]) ).
cnf(12722,plain,
( n9 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12721,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(12723,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n9),succ(n9))) = esk8_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,12722,theory(equality)]) ).
cnf(12724,plain,
( sum(sum(pred(esk5_0),succ(n9)),sum(pred(n9),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,12722,theory(equality)]) ).
cnf(12725,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n7) = esk8_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12723,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(12726,plain,
( sum(sum(pred(esk5_0),n10),sum(n8,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12724,215,theory(equality)]),204,theory(equality)]) ).
cnf(12736,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12709,12705,theory(equality)]) ).
cnf(12737,plain,
( n9 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12736,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(12740,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12725,12737,theory(equality)]) ).
cnf(12743,plain,
( n3 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12740,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(12744,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n3),succ(n3))) = esk10_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,12743,theory(equality)]) ).
cnf(12745,plain,
( sum(sum(pred(esk7_0),succ(n3)),sum(pred(n3),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,12743,theory(equality)]) ).
cnf(12746,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n6) = esk10_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12744,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(12747,plain,
( sum(sum(pred(esk7_0),n4),sum(n2,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12745,221,theory(equality)]),210,theory(equality)]) ).
cnf(12752,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12726,12737,theory(equality)]) ).
cnf(12753,plain,
( n3 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12752,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(12758,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12746,12753,theory(equality)]) ).
cnf(12761,plain,
( n1 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12758,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(12762,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n1),succ(n1))) = esk12_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,12761,theory(equality)]) ).
cnf(12763,plain,
( sum(sum(pred(esk9_0),succ(n1)),sum(pred(n1),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,12761,theory(equality)]) ).
cnf(12764,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n2) = esk12_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12762,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(12765,plain,
( sum(sum(pred(esk9_0),n2),sum(n0,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12763,223,theory(equality)]),212,theory(equality)]) ).
cnf(12768,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12747,12753,theory(equality)]) ).
cnf(12769,plain,
( n1 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12768,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(12772,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12764,12769,theory(equality)]) ).
cnf(12775,plain,
( n4 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12772,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(12778,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n4),succ(n4))) = esk14_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,12775,theory(equality)]) ).
cnf(12779,plain,
( sum(sum(pred(esk11_0),succ(n4)),sum(pred(n4),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,12775,theory(equality)]) ).
cnf(12780,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n8) = esk14_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12778,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(12781,plain,
( sum(sum(pred(esk11_0),n5),sum(n3,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12779,220,theory(equality)]),209,theory(equality)]) ).
cnf(12784,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12765,12769,theory(equality)]) ).
cnf(12785,plain,
( n4 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12784,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(12788,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12780,12785,theory(equality)]) ).
cnf(12791,plain,
( n5 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12788,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(12792,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n5),succ(n5))) = esk16_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,12791,theory(equality)]) ).
cnf(12793,plain,
( sum(sum(pred(esk13_0),succ(n5)),sum(pred(n5),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,12791,theory(equality)]) ).
cnf(12794,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n10) = esk16_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12792,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(12795,plain,
( sum(sum(pred(esk13_0),n6),sum(n4,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12793,219,theory(equality)]),208,theory(equality)]) ).
cnf(12800,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12781,12785,theory(equality)]) ).
cnf(12801,plain,
( n5 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12800,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(12804,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12794,12801,theory(equality)]) ).
cnf(12807,plain,
( n9 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12804,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(12808,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n9),succ(n9))) = esk18_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,12807,theory(equality)]) ).
cnf(12809,plain,
( sum(sum(pred(esk15_0),succ(n9)),sum(pred(n9),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,12807,theory(equality)]) ).
cnf(12810,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n7) = esk18_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12808,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(12811,plain,
( sum(sum(pred(esk15_0),n10),sum(n8,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12809,215,theory(equality)]),204,theory(equality)]) ).
cnf(12816,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12795,12801,theory(equality)]) ).
cnf(12817,plain,
( n9 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12816,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(12820,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12810,12817,theory(equality)]) ).
cnf(12823,plain,
( n3 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12820,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(12824,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n3),succ(n3))) = esk20_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,12823,theory(equality)]) ).
cnf(12825,plain,
( sum(sum(pred(esk17_0),succ(n3)),sum(pred(n3),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,12823,theory(equality)]) ).
cnf(12826,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n6) = esk20_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12824,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(12827,plain,
( sum(sum(pred(esk17_0),n4),sum(n2,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12825,221,theory(equality)]),210,theory(equality)]) ).
cnf(12832,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12811,12817,theory(equality)]) ).
cnf(12833,plain,
( n3 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12832,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(12836,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12826,12833,theory(equality)]) ).
cnf(12839,plain,
( n1 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12836,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(12840,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n1),succ(n1))) = esk22_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,12839,theory(equality)]) ).
cnf(12841,plain,
( sum(sum(pred(esk19_0),succ(n1)),sum(pred(n1),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,12839,theory(equality)]) ).
cnf(12842,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n2) = esk22_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12840,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(12843,plain,
( sum(sum(pred(esk19_0),n2),sum(n0,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12841,223,theory(equality)]),212,theory(equality)]) ).
cnf(12848,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12827,12833,theory(equality)]) ).
cnf(12849,plain,
( n1 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12848,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(12852,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12842,12849,theory(equality)]) ).
cnf(12855,plain,
( n4 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12852,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(12860,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(spm,[status(thm)],[12843,12849,theory(equality)]) ).
cnf(12861,plain,
( n4 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12860,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(12862,plain,
( esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n4 != esk22_0 ),
inference(spm,[status(thm)],[59,12861,theory(equality)]) ).
cnf(12865,plain,
( esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[12862,12855]) ).
cnf(12866,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n1 != esk20_0 ),
inference(spm,[status(thm)],[12865,12849,theory(equality)]) ).
cnf(12867,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[12866,12839]) ).
cnf(12868,plain,
( esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n3 != esk18_0 ),
inference(spm,[status(thm)],[12867,12833,theory(equality)]) ).
cnf(12869,plain,
( esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[12868,12823]) ).
cnf(12870,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n9 != esk16_0 ),
inference(spm,[status(thm)],[12869,12817,theory(equality)]) ).
cnf(12871,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[12870,12807]) ).
cnf(12872,plain,
( esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n5 != esk14_0 ),
inference(spm,[status(thm)],[12871,12801,theory(equality)]) ).
cnf(12873,plain,
( esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[12872,12791]) ).
cnf(12874,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n4 != esk12_0 ),
inference(spm,[status(thm)],[12873,12785,theory(equality)]) ).
cnf(12875,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[12874,12775]) ).
cnf(12876,plain,
( esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n1 != esk10_0 ),
inference(spm,[status(thm)],[12875,12769,theory(equality)]) ).
cnf(12877,plain,
( esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[12876,12761]) ).
cnf(12878,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n3 != esk8_0 ),
inference(spm,[status(thm)],[12877,12753,theory(equality)]) ).
cnf(12879,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[12878,12743]) ).
cnf(12880,plain,
( esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n9 != esk6_0 ),
inference(spm,[status(thm)],[12879,12737,theory(equality)]) ).
cnf(12881,plain,
( esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[12880,12722]) ).
cnf(12882,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| n5 != esk4_0 ),
inference(spm,[status(thm)],[12881,12705,theory(equality)]) ).
cnf(12883,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(csr,[status(thm)],[12882,12704]) ).
cnf(12886,plain,
( sum(n1,sum(pred(n1),succ(n1))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[10993,12883,theory(equality)]) ).
cnf(12887,plain,
( sum(sum(n5,succ(n1)),sum(pred(n1),n7)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[10994,12883,theory(equality)]) ).
cnf(12890,plain,
( n3 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12886,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),189,theory(equality)]) ).
cnf(12891,plain,
( n3 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12887,223,theory(equality)]),145,theory(equality)]),212,theory(equality)]),195,theory(equality)]),118,theory(equality)]) ).
cnf(12892,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n3),succ(n3))) = esk6_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,12890,theory(equality)]) ).
cnf(12893,plain,
( sum(sum(pred(esk3_0),succ(n3)),sum(pred(n3),succ(esk3_0))) = esk5_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,12890,theory(equality)]) ).
cnf(12894,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n6) = esk6_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12892,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(12895,plain,
( sum(sum(pred(esk3_0),n4),sum(n2,succ(esk3_0))) = esk5_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12893,221,theory(equality)]),210,theory(equality)]) ).
cnf(12914,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12894,12891,theory(equality)]) ).
cnf(12915,plain,
( n1 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12914,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(12916,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n1),succ(n1))) = esk8_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,12915,theory(equality)]) ).
cnf(12917,plain,
( sum(sum(pred(esk5_0),succ(n1)),sum(pred(n1),succ(esk5_0))) = esk7_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,12915,theory(equality)]) ).
cnf(12918,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n2) = esk8_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12916,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(12919,plain,
( sum(sum(pred(esk5_0),n2),sum(n0,succ(esk5_0))) = esk7_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12917,223,theory(equality)]),212,theory(equality)]) ).
cnf(12922,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12895,12891,theory(equality)]) ).
cnf(12923,plain,
( n1 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12922,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(12926,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12918,12923,theory(equality)]) ).
cnf(12929,plain,
( n4 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12926,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(12932,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n4),succ(n4))) = esk10_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,12929,theory(equality)]) ).
cnf(12933,plain,
( sum(sum(pred(esk7_0),succ(n4)),sum(pred(n4),succ(esk7_0))) = esk9_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,12929,theory(equality)]) ).
cnf(12934,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n8) = esk10_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12932,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(12935,plain,
( sum(sum(pred(esk7_0),n5),sum(n3,succ(esk7_0))) = esk9_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12933,220,theory(equality)]),209,theory(equality)]) ).
cnf(12938,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12919,12923,theory(equality)]) ).
cnf(12939,plain,
( n4 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12938,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(12942,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12934,12939,theory(equality)]) ).
cnf(12945,plain,
( n5 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12942,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(12946,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n5),succ(n5))) = esk12_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,12945,theory(equality)]) ).
cnf(12947,plain,
( sum(sum(pred(esk9_0),succ(n5)),sum(pred(n5),succ(esk9_0))) = esk11_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,12945,theory(equality)]) ).
cnf(12948,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n10) = esk12_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12946,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(12949,plain,
( sum(sum(pred(esk9_0),n6),sum(n4,succ(esk9_0))) = esk11_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12947,219,theory(equality)]),208,theory(equality)]) ).
cnf(12954,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12935,12939,theory(equality)]) ).
cnf(12955,plain,
( n5 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12954,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(12958,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12948,12955,theory(equality)]) ).
cnf(12961,plain,
( n9 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12958,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(12962,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n9),succ(n9))) = esk14_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,12961,theory(equality)]) ).
cnf(12963,plain,
( sum(sum(pred(esk11_0),succ(n9)),sum(pred(n9),succ(esk11_0))) = esk13_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,12961,theory(equality)]) ).
cnf(12964,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n7) = esk14_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12962,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(12965,plain,
( sum(sum(pred(esk11_0),n10),sum(n8,succ(esk11_0))) = esk13_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12963,215,theory(equality)]),204,theory(equality)]) ).
cnf(12970,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12949,12955,theory(equality)]) ).
cnf(12971,plain,
( n9 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12970,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(12974,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12964,12971,theory(equality)]) ).
cnf(12977,plain,
( n3 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12974,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(12978,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n3),succ(n3))) = esk16_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,12977,theory(equality)]) ).
cnf(12979,plain,
( sum(sum(pred(esk13_0),succ(n3)),sum(pred(n3),succ(esk13_0))) = esk15_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,12977,theory(equality)]) ).
cnf(12980,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n6) = esk16_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12978,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(12981,plain,
( sum(sum(pred(esk13_0),n4),sum(n2,succ(esk13_0))) = esk15_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12979,221,theory(equality)]),210,theory(equality)]) ).
cnf(12986,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12965,12971,theory(equality)]) ).
cnf(12987,plain,
( n3 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12986,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(12990,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12980,12987,theory(equality)]) ).
cnf(12993,plain,
( n1 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12990,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(12994,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n1),succ(n1))) = esk18_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,12993,theory(equality)]) ).
cnf(12995,plain,
( sum(sum(pred(esk15_0),succ(n1)),sum(pred(n1),succ(esk15_0))) = esk17_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,12993,theory(equality)]) ).
cnf(12996,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n2) = esk18_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12994,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(12997,plain,
( sum(sum(pred(esk15_0),n2),sum(n0,succ(esk15_0))) = esk17_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12995,223,theory(equality)]),212,theory(equality)]) ).
cnf(13002,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12981,12987,theory(equality)]) ).
cnf(13003,plain,
( n1 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13002,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(13006,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12996,13003,theory(equality)]) ).
cnf(13009,plain,
( n4 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13006,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(13010,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n4),succ(n4))) = esk20_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,13009,theory(equality)]) ).
cnf(13011,plain,
( sum(sum(pred(esk17_0),succ(n4)),sum(pred(n4),succ(esk17_0))) = esk19_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,13009,theory(equality)]) ).
cnf(13012,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n8) = esk20_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13010,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(13013,plain,
( sum(sum(pred(esk17_0),n5),sum(n3,succ(esk17_0))) = esk19_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13011,220,theory(equality)]),209,theory(equality)]) ).
cnf(13018,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[12997,13003,theory(equality)]) ).
cnf(13019,plain,
( n4 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13018,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(13022,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[13012,13019,theory(equality)]) ).
cnf(13025,plain,
( n5 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13022,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(13026,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n5),succ(n5))) = esk22_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,13025,theory(equality)]) ).
cnf(13027,plain,
( sum(sum(pred(esk19_0),succ(n5)),sum(pred(n5),succ(esk19_0))) = esk21_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,13025,theory(equality)]) ).
cnf(13028,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n10) = esk22_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13026,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(13029,plain,
( sum(sum(pred(esk19_0),n6),sum(n4,succ(esk19_0))) = esk21_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13027,219,theory(equality)]),208,theory(equality)]) ).
cnf(13034,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[13013,13019,theory(equality)]) ).
cnf(13035,plain,
( n5 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13034,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(13038,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[13028,13035,theory(equality)]) ).
cnf(13041,plain,
( n9 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13038,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(13046,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[13029,13035,theory(equality)]) ).
cnf(13047,plain,
( n9 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13046,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(13048,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n9 != esk22_0 ),
inference(spm,[status(thm)],[59,13047,theory(equality)]) ).
cnf(13051,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[13048,13041]) ).
cnf(13052,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n5 != esk20_0 ),
inference(spm,[status(thm)],[13051,13035,theory(equality)]) ).
cnf(13053,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[13052,13025]) ).
cnf(13054,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n4 != esk18_0 ),
inference(spm,[status(thm)],[13053,13019,theory(equality)]) ).
cnf(13055,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[13054,13009]) ).
cnf(13056,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n1 != esk16_0 ),
inference(spm,[status(thm)],[13055,13003,theory(equality)]) ).
cnf(13057,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[13056,12993]) ).
cnf(13058,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n3 != esk14_0 ),
inference(spm,[status(thm)],[13057,12987,theory(equality)]) ).
cnf(13059,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[13058,12977]) ).
cnf(13060,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n9 != esk12_0 ),
inference(spm,[status(thm)],[13059,12971,theory(equality)]) ).
cnf(13061,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[13060,12961]) ).
cnf(13062,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n5 != esk10_0 ),
inference(spm,[status(thm)],[13061,12955,theory(equality)]) ).
cnf(13063,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[13062,12945]) ).
cnf(13064,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n4 != esk8_0 ),
inference(spm,[status(thm)],[13063,12939,theory(equality)]) ).
cnf(13065,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[13064,12929]) ).
cnf(13066,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n1 != esk6_0 ),
inference(spm,[status(thm)],[13065,12923,theory(equality)]) ).
cnf(13067,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[13066,12915]) ).
cnf(13068,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| n3 != esk4_0 ),
inference(spm,[status(thm)],[13067,12891,theory(equality)]) ).
cnf(13069,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(csr,[status(thm)],[13068,12890]) ).
cnf(13074,plain,
( sum(sum(pred(n5),succ(n5)),sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[78,13069,theory(equality)]) ).
cnf(13075,plain,
( sum(sum(pred(n5),succ(esk2_0)),sum(pred(esk2_0),succ(n5))) = esk3_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[79,13069,theory(equality)]) ).
cnf(13076,plain,
( sum(sum(pred(n5),succ(n5)),n0) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[248,13069,theory(equality)]) ).
cnf(13077,plain,
( sum(sum(pred(n5),n1),sum(n10,succ(n5))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[252,13069,theory(equality)]) ).
cnf(13078,plain,
( sum(n10,sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13074,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(13079,plain,
( sum(sum(n4,succ(esk2_0)),sum(pred(esk2_0),n6)) = esk3_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13075,208,theory(equality)]),219,theory(equality)]) ).
cnf(13080,plain,
( n10 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13076,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),92,theory(equality)]) ).
cnf(13081,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13077,208,theory(equality)]),157,theory(equality)]),219,theory(equality)]),86,theory(equality)]),142,theory(equality)]) ).
cnf(13086,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n10),succ(n10))) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,13080,theory(equality)]) ).
cnf(13087,plain,
( sum(sum(pred(esk3_0),succ(n10)),sum(pred(n10),succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,13080,theory(equality)]) ).
cnf(13088,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n9) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13086,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(13089,plain,
( sum(sum(pred(esk3_0),n0),sum(n9,succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13087,214,theory(equality)]),203,theory(equality)]) ).
cnf(13094,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13088,13081,theory(equality)]) ).
cnf(13095,plain,
( n7 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13094,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13096,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n7),succ(n7))) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,13095,theory(equality)]) ).
cnf(13097,plain,
( sum(sum(pred(esk5_0),succ(n7)),sum(pred(n7),succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,13095,theory(equality)]) ).
cnf(13098,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n3) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13096,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(13099,plain,
( sum(sum(pred(esk5_0),n8),sum(n6,succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13097,217,theory(equality)]),206,theory(equality)]) ).
cnf(13102,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13089,13081,theory(equality)]) ).
cnf(13103,plain,
( n7 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13102,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13106,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13098,13103,theory(equality)]) ).
cnf(13109,plain,
( n6 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13106,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13110,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n6),succ(n6))) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,13109,theory(equality)]) ).
cnf(13111,plain,
( sum(sum(pred(esk7_0),succ(n6)),sum(pred(n6),succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,13109,theory(equality)]) ).
cnf(13112,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n1) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13110,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(13113,plain,
( sum(sum(pred(esk7_0),n7),sum(n5,succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13111,218,theory(equality)]),207,theory(equality)]) ).
cnf(13118,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13099,13103,theory(equality)]) ).
cnf(13119,plain,
( n6 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13118,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13124,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13112,13119,theory(equality)]) ).
cnf(13127,plain,
( n2 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13124,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13128,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n2),succ(n2))) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,13127,theory(equality)]) ).
cnf(13129,plain,
( sum(sum(pred(esk9_0),succ(n2)),sum(pred(n2),succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,13127,theory(equality)]) ).
cnf(13130,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n4) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13128,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(13131,plain,
( sum(sum(pred(esk9_0),n3),sum(n1,succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13129,222,theory(equality)]),211,theory(equality)]) ).
cnf(13134,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13113,13119,theory(equality)]) ).
cnf(13135,plain,
( n2 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13134,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13138,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13130,13135,theory(equality)]) ).
cnf(13141,plain,
( n8 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13138,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13144,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n8),succ(n8))) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,13141,theory(equality)]) ).
cnf(13145,plain,
( sum(sum(pred(esk11_0),succ(n8)),sum(pred(n8),succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,13141,theory(equality)]) ).
cnf(13146,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n5) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13144,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(13147,plain,
( sum(sum(pred(esk11_0),n9),sum(n7,succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13145,216,theory(equality)]),205,theory(equality)]) ).
cnf(13150,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13131,13135,theory(equality)]) ).
cnf(13151,plain,
( n8 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13150,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13154,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13146,13151,theory(equality)]) ).
cnf(13157,plain,
( n10 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13154,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13158,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n10),succ(n10))) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,13157,theory(equality)]) ).
cnf(13159,plain,
( sum(sum(pred(esk13_0),succ(n10)),sum(pred(n10),succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,13157,theory(equality)]) ).
cnf(13160,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n9) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13158,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(13161,plain,
( sum(sum(pred(esk13_0),n0),sum(n9,succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13159,214,theory(equality)]),203,theory(equality)]) ).
cnf(13166,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13147,13151,theory(equality)]) ).
cnf(13167,plain,
( n10 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13166,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13170,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13160,13167,theory(equality)]) ).
cnf(13173,plain,
( n7 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13170,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13174,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n7),succ(n7))) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,13173,theory(equality)]) ).
cnf(13175,plain,
( sum(sum(pred(esk15_0),succ(n7)),sum(pred(n7),succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,13173,theory(equality)]) ).
cnf(13176,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n3) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13174,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(13177,plain,
( sum(sum(pred(esk15_0),n8),sum(n6,succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13175,217,theory(equality)]),206,theory(equality)]) ).
cnf(13182,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13161,13167,theory(equality)]) ).
cnf(13183,plain,
( n7 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13182,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13186,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13176,13183,theory(equality)]) ).
cnf(13189,plain,
( n6 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13186,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13190,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n6),succ(n6))) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,13189,theory(equality)]) ).
cnf(13191,plain,
( sum(sum(pred(esk17_0),succ(n6)),sum(pred(n6),succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,13189,theory(equality)]) ).
cnf(13192,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n1) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13190,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(13193,plain,
( sum(sum(pred(esk17_0),n7),sum(n5,succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13191,218,theory(equality)]),207,theory(equality)]) ).
cnf(13198,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13177,13183,theory(equality)]) ).
cnf(13199,plain,
( n6 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13198,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13202,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13192,13199,theory(equality)]) ).
cnf(13205,plain,
( n2 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13202,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13206,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n2),succ(n2))) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,13205,theory(equality)]) ).
cnf(13207,plain,
( sum(sum(pred(esk19_0),succ(n2)),sum(pred(n2),succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,13205,theory(equality)]) ).
cnf(13208,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n4) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13206,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(13209,plain,
( sum(sum(pred(esk19_0),n3),sum(n1,succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13207,222,theory(equality)]),211,theory(equality)]) ).
cnf(13214,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13193,13199,theory(equality)]) ).
cnf(13215,plain,
( n2 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13214,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13218,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13208,13215,theory(equality)]) ).
cnf(13221,plain,
( n8 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13218,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13226,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[13209,13215,theory(equality)]) ).
cnf(13227,plain,
( n8 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13226,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13228,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n8 != esk22_0 ),
inference(spm,[status(thm)],[59,13227,theory(equality)]) ).
cnf(13231,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[13228,13221]) ).
cnf(13232,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n2 != esk20_0 ),
inference(spm,[status(thm)],[13231,13215,theory(equality)]) ).
cnf(13233,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[13232,13205]) ).
cnf(13234,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n6 != esk18_0 ),
inference(spm,[status(thm)],[13233,13199,theory(equality)]) ).
cnf(13235,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[13234,13189]) ).
cnf(13236,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n7 != esk16_0 ),
inference(spm,[status(thm)],[13235,13183,theory(equality)]) ).
cnf(13237,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[13236,13173]) ).
cnf(13238,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n10 != esk14_0 ),
inference(spm,[status(thm)],[13237,13167,theory(equality)]) ).
cnf(13239,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[13238,13157]) ).
cnf(13240,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n8 != esk12_0 ),
inference(spm,[status(thm)],[13239,13151,theory(equality)]) ).
cnf(13241,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[13240,13141]) ).
cnf(13242,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n2 != esk10_0 ),
inference(spm,[status(thm)],[13241,13135,theory(equality)]) ).
cnf(13243,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[13242,13127]) ).
cnf(13244,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n6 != esk8_0 ),
inference(spm,[status(thm)],[13243,13119,theory(equality)]) ).
cnf(13245,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[13244,13109]) ).
cnf(13246,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n7 != esk6_0 ),
inference(spm,[status(thm)],[13245,13103,theory(equality)]) ).
cnf(13247,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[13246,13095]) ).
cnf(13248,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n10 != esk4_0 ),
inference(spm,[status(thm)],[13247,13081,theory(equality)]) ).
cnf(13249,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(csr,[status(thm)],[13248,13080]) ).
cnf(13261,plain,
( sum(n10,sum(pred(n10),succ(n10))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13078,13249,theory(equality)]) ).
cnf(13262,plain,
( sum(sum(n4,succ(n10)),sum(pred(n10),n6)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13079,13249,theory(equality)]) ).
cnf(13265,plain,
( n8 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13261,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),83,theory(equality)]) ).
cnf(13266,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13262,214,theory(equality)]),158,theory(equality)]),203,theory(equality)]),97,theory(equality)]),154,theory(equality)]) ).
cnf(13267,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n8),succ(n8))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,13265,theory(equality)]) ).
cnf(13268,plain,
( sum(sum(pred(esk3_0),succ(n8)),sum(pred(n8),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,13265,theory(equality)]) ).
cnf(13269,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n5) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13267,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(13270,plain,
( sum(sum(pred(esk3_0),n9),sum(n7,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13268,216,theory(equality)]),205,theory(equality)]) ).
cnf(13287,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13269,13266,theory(equality)]) ).
cnf(13288,plain,
( n10 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13287,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13289,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n10),succ(n10))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,13288,theory(equality)]) ).
cnf(13290,plain,
( sum(sum(pred(esk5_0),succ(n10)),sum(pred(n10),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,13288,theory(equality)]) ).
cnf(13291,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n9) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13289,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(13292,plain,
( sum(sum(pred(esk5_0),n0),sum(n9,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13290,214,theory(equality)]),203,theory(equality)]) ).
cnf(13295,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13270,13266,theory(equality)]) ).
cnf(13296,plain,
( n10 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13295,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13299,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13291,13296,theory(equality)]) ).
cnf(13302,plain,
( n7 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13299,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13305,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n7),succ(n7))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,13302,theory(equality)]) ).
cnf(13306,plain,
( sum(sum(pred(esk7_0),succ(n7)),sum(pred(n7),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,13302,theory(equality)]) ).
cnf(13307,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n3) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13305,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(13308,plain,
( sum(sum(pred(esk7_0),n8),sum(n6,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13306,217,theory(equality)]),206,theory(equality)]) ).
cnf(13311,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13292,13296,theory(equality)]) ).
cnf(13312,plain,
( n7 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13311,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13315,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13307,13312,theory(equality)]) ).
cnf(13318,plain,
( n6 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13315,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13319,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n6),succ(n6))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,13318,theory(equality)]) ).
cnf(13320,plain,
( sum(sum(pred(esk9_0),succ(n6)),sum(pred(n6),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,13318,theory(equality)]) ).
cnf(13321,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n1) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13319,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(13322,plain,
( sum(sum(pred(esk9_0),n7),sum(n5,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13320,218,theory(equality)]),207,theory(equality)]) ).
cnf(13327,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13308,13312,theory(equality)]) ).
cnf(13328,plain,
( n6 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13327,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13331,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13321,13328,theory(equality)]) ).
cnf(13334,plain,
( n2 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13331,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13335,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n2),succ(n2))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,13334,theory(equality)]) ).
cnf(13336,plain,
( sum(sum(pred(esk11_0),succ(n2)),sum(pred(n2),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,13334,theory(equality)]) ).
cnf(13337,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n4) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13335,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(13338,plain,
( sum(sum(pred(esk11_0),n3),sum(n1,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13336,222,theory(equality)]),211,theory(equality)]) ).
cnf(13343,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13322,13328,theory(equality)]) ).
cnf(13344,plain,
( n2 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13343,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13347,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13337,13344,theory(equality)]) ).
cnf(13350,plain,
( n8 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13347,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13351,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n8),succ(n8))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,13350,theory(equality)]) ).
cnf(13352,plain,
( sum(sum(pred(esk13_0),succ(n8)),sum(pred(n8),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,13350,theory(equality)]) ).
cnf(13353,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n5) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13351,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(13354,plain,
( sum(sum(pred(esk13_0),n9),sum(n7,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13352,216,theory(equality)]),205,theory(equality)]) ).
cnf(13359,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13338,13344,theory(equality)]) ).
cnf(13360,plain,
( n8 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13359,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13363,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13353,13360,theory(equality)]) ).
cnf(13366,plain,
( n10 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13363,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13367,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n10),succ(n10))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,13366,theory(equality)]) ).
cnf(13368,plain,
( sum(sum(pred(esk15_0),succ(n10)),sum(pred(n10),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,13366,theory(equality)]) ).
cnf(13369,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n9) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13367,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(13370,plain,
( sum(sum(pred(esk15_0),n0),sum(n9,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13368,214,theory(equality)]),203,theory(equality)]) ).
cnf(13375,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13354,13360,theory(equality)]) ).
cnf(13376,plain,
( n10 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13375,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13379,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13369,13376,theory(equality)]) ).
cnf(13382,plain,
( n7 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13379,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13383,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n7),succ(n7))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,13382,theory(equality)]) ).
cnf(13384,plain,
( sum(sum(pred(esk17_0),succ(n7)),sum(pred(n7),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,13382,theory(equality)]) ).
cnf(13385,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n3) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13383,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(13386,plain,
( sum(sum(pred(esk17_0),n8),sum(n6,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13384,217,theory(equality)]),206,theory(equality)]) ).
cnf(13391,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13370,13376,theory(equality)]) ).
cnf(13392,plain,
( n7 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13391,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13395,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13385,13392,theory(equality)]) ).
cnf(13398,plain,
( n6 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13395,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13399,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n6),succ(n6))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,13398,theory(equality)]) ).
cnf(13400,plain,
( sum(sum(pred(esk19_0),succ(n6)),sum(pred(n6),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,13398,theory(equality)]) ).
cnf(13401,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n1) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13399,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(13402,plain,
( sum(sum(pred(esk19_0),n7),sum(n5,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13400,218,theory(equality)]),207,theory(equality)]) ).
cnf(13407,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13386,13392,theory(equality)]) ).
cnf(13408,plain,
( n6 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13407,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13411,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13401,13408,theory(equality)]) ).
cnf(13414,plain,
( n2 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13411,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13419,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13402,13408,theory(equality)]) ).
cnf(13420,plain,
( n2 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13419,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13421,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n2 != esk22_0 ),
inference(spm,[status(thm)],[59,13420,theory(equality)]) ).
cnf(13424,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[13421,13414]) ).
cnf(13425,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n6 != esk20_0 ),
inference(spm,[status(thm)],[13424,13408,theory(equality)]) ).
cnf(13426,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[13425,13398]) ).
cnf(13427,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n7 != esk18_0 ),
inference(spm,[status(thm)],[13426,13392,theory(equality)]) ).
cnf(13428,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[13427,13382]) ).
cnf(13429,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n10 != esk16_0 ),
inference(spm,[status(thm)],[13428,13376,theory(equality)]) ).
cnf(13430,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[13429,13366]) ).
cnf(13431,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n8 != esk14_0 ),
inference(spm,[status(thm)],[13430,13360,theory(equality)]) ).
cnf(13432,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[13431,13350]) ).
cnf(13433,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n2 != esk12_0 ),
inference(spm,[status(thm)],[13432,13344,theory(equality)]) ).
cnf(13434,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[13433,13334]) ).
cnf(13435,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n6 != esk10_0 ),
inference(spm,[status(thm)],[13434,13328,theory(equality)]) ).
cnf(13436,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[13435,13318]) ).
cnf(13437,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n7 != esk8_0 ),
inference(spm,[status(thm)],[13436,13312,theory(equality)]) ).
cnf(13438,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[13437,13302]) ).
cnf(13439,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n10 != esk6_0 ),
inference(spm,[status(thm)],[13438,13296,theory(equality)]) ).
cnf(13440,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[13439,13288]) ).
cnf(13441,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n8 != esk4_0 ),
inference(spm,[status(thm)],[13440,13266,theory(equality)]) ).
cnf(13442,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[13441,13265]) ).
cnf(13453,plain,
( sum(n10,sum(pred(n9),succ(n9))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13078,13442,theory(equality)]) ).
cnf(13454,plain,
( sum(sum(n4,succ(n9)),sum(pred(n9),n6)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13079,13442,theory(equality)]) ).
cnf(13457,plain,
( n6 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13453,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),85,theory(equality)]) ).
cnf(13458,plain,
( n6 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13454,215,theory(equality)]),148,theory(equality)]),204,theory(equality)]),108,theory(equality)]),166,theory(equality)]) ).
cnf(13459,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n6),succ(n6))) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,13457,theory(equality)]) ).
cnf(13460,plain,
( sum(sum(pred(esk3_0),succ(n6)),sum(pred(n6),succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,13457,theory(equality)]) ).
cnf(13461,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n1) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13459,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(13462,plain,
( sum(sum(pred(esk3_0),n7),sum(n5,succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13460,218,theory(equality)]),207,theory(equality)]) ).
cnf(13473,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13461,13458,theory(equality)]) ).
cnf(13474,plain,
( n2 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13473,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13475,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n2),succ(n2))) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,13474,theory(equality)]) ).
cnf(13476,plain,
( sum(sum(pred(esk5_0),succ(n2)),sum(pred(n2),succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,13474,theory(equality)]) ).
cnf(13477,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n4) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13475,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(13478,plain,
( sum(sum(pred(esk5_0),n3),sum(n1,succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13476,222,theory(equality)]),211,theory(equality)]) ).
cnf(13487,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13462,13458,theory(equality)]) ).
cnf(13488,plain,
( n2 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13487,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13491,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13477,13488,theory(equality)]) ).
cnf(13494,plain,
( n8 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13491,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13495,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n8),succ(n8))) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,13494,theory(equality)]) ).
cnf(13496,plain,
( sum(sum(pred(esk7_0),succ(n8)),sum(pred(n8),succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,13494,theory(equality)]) ).
cnf(13497,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n5) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13495,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(13498,plain,
( sum(sum(pred(esk7_0),n9),sum(n7,succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13496,216,theory(equality)]),205,theory(equality)]) ).
cnf(13503,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13478,13488,theory(equality)]) ).
cnf(13504,plain,
( n8 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13503,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13507,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13497,13504,theory(equality)]) ).
cnf(13510,plain,
( n10 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13507,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13511,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n10),succ(n10))) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,13510,theory(equality)]) ).
cnf(13512,plain,
( sum(sum(pred(esk9_0),succ(n10)),sum(pred(n10),succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,13510,theory(equality)]) ).
cnf(13513,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n9) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13511,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(13514,plain,
( sum(sum(pred(esk9_0),n0),sum(n9,succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13512,214,theory(equality)]),203,theory(equality)]) ).
cnf(13519,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13498,13504,theory(equality)]) ).
cnf(13520,plain,
( n10 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13519,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13523,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13513,13520,theory(equality)]) ).
cnf(13526,plain,
( n7 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13523,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13527,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n7),succ(n7))) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,13526,theory(equality)]) ).
cnf(13528,plain,
( sum(sum(pred(esk11_0),succ(n7)),sum(pred(n7),succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,13526,theory(equality)]) ).
cnf(13529,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n3) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13527,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(13530,plain,
( sum(sum(pred(esk11_0),n8),sum(n6,succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13528,217,theory(equality)]),206,theory(equality)]) ).
cnf(13535,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13514,13520,theory(equality)]) ).
cnf(13536,plain,
( n7 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13535,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13539,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13529,13536,theory(equality)]) ).
cnf(13542,plain,
( n6 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13539,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13543,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n6),succ(n6))) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,13542,theory(equality)]) ).
cnf(13544,plain,
( sum(sum(pred(esk13_0),succ(n6)),sum(pred(n6),succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,13542,theory(equality)]) ).
cnf(13545,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n1) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13543,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(13546,plain,
( sum(sum(pred(esk13_0),n7),sum(n5,succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13544,218,theory(equality)]),207,theory(equality)]) ).
cnf(13551,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13530,13536,theory(equality)]) ).
cnf(13552,plain,
( n6 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13551,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13555,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13545,13552,theory(equality)]) ).
cnf(13558,plain,
( n2 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13555,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13559,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n2),succ(n2))) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,13558,theory(equality)]) ).
cnf(13560,plain,
( sum(sum(pred(esk15_0),succ(n2)),sum(pred(n2),succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,13558,theory(equality)]) ).
cnf(13561,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n4) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13559,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(13562,plain,
( sum(sum(pred(esk15_0),n3),sum(n1,succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13560,222,theory(equality)]),211,theory(equality)]) ).
cnf(13567,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13546,13552,theory(equality)]) ).
cnf(13568,plain,
( n2 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13567,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13573,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13561,13568,theory(equality)]) ).
cnf(13576,plain,
( n8 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13573,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13577,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n8),succ(n8))) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,13576,theory(equality)]) ).
cnf(13578,plain,
( sum(sum(pred(esk17_0),succ(n8)),sum(pred(n8),succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,13576,theory(equality)]) ).
cnf(13579,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n5) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13577,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(13580,plain,
( sum(sum(pred(esk17_0),n9),sum(n7,succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13578,216,theory(equality)]),205,theory(equality)]) ).
cnf(13583,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13562,13568,theory(equality)]) ).
cnf(13584,plain,
( n8 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13583,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13587,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13579,13584,theory(equality)]) ).
cnf(13590,plain,
( n10 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13587,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13593,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n10),succ(n10))) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,13590,theory(equality)]) ).
cnf(13594,plain,
( sum(sum(pred(esk19_0),succ(n10)),sum(pred(n10),succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,13590,theory(equality)]) ).
cnf(13595,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n9) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13593,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(13596,plain,
( sum(sum(pred(esk19_0),n0),sum(n9,succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13594,214,theory(equality)]),203,theory(equality)]) ).
cnf(13599,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13580,13584,theory(equality)]) ).
cnf(13600,plain,
( n10 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13599,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13603,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13595,13600,theory(equality)]) ).
cnf(13606,plain,
( n7 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13603,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13611,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[13596,13600,theory(equality)]) ).
cnf(13612,plain,
( n7 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13611,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13613,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n7 != esk22_0 ),
inference(spm,[status(thm)],[59,13612,theory(equality)]) ).
cnf(13614,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[13613,13606]) ).
cnf(13615,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n10 != esk20_0 ),
inference(spm,[status(thm)],[13614,13600,theory(equality)]) ).
cnf(13616,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[13615,13590]) ).
cnf(13617,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n8 != esk18_0 ),
inference(spm,[status(thm)],[13616,13584,theory(equality)]) ).
cnf(13620,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[13617,13576]) ).
cnf(13621,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n2 != esk16_0 ),
inference(spm,[status(thm)],[13620,13568,theory(equality)]) ).
cnf(13622,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[13621,13558]) ).
cnf(13623,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n6 != esk14_0 ),
inference(spm,[status(thm)],[13622,13552,theory(equality)]) ).
cnf(13624,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[13623,13542]) ).
cnf(13625,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n7 != esk12_0 ),
inference(spm,[status(thm)],[13624,13536,theory(equality)]) ).
cnf(13626,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[13625,13526]) ).
cnf(13627,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n10 != esk10_0 ),
inference(spm,[status(thm)],[13626,13520,theory(equality)]) ).
cnf(13628,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[13627,13510]) ).
cnf(13629,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n8 != esk8_0 ),
inference(spm,[status(thm)],[13628,13504,theory(equality)]) ).
cnf(13630,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[13629,13494]) ).
cnf(13631,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n2 != esk6_0 ),
inference(spm,[status(thm)],[13630,13488,theory(equality)]) ).
cnf(13632,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[13631,13474]) ).
cnf(13633,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n6 != esk4_0 ),
inference(spm,[status(thm)],[13632,13458,theory(equality)]) ).
cnf(13634,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(csr,[status(thm)],[13633,13457]) ).
cnf(13644,plain,
( sum(n10,sum(pred(n8),succ(n8))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13078,13634,theory(equality)]) ).
cnf(13645,plain,
( sum(sum(n4,succ(n8)),sum(pred(n8),n6)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13079,13634,theory(equality)]) ).
cnf(13648,plain,
( n4 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13644,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),87,theory(equality)]) ).
cnf(13649,plain,
( n4 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13645,216,theory(equality)]),149,theory(equality)]),205,theory(equality)]),119,theory(equality)]),178,theory(equality)]) ).
cnf(13650,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n4),succ(n4))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,13648,theory(equality)]) ).
cnf(13651,plain,
( sum(sum(pred(esk3_0),succ(n4)),sum(pred(n4),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,13648,theory(equality)]) ).
cnf(13652,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n8) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13650,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(13653,plain,
( sum(sum(pred(esk3_0),n5),sum(n3,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13651,220,theory(equality)]),209,theory(equality)]) ).
cnf(13664,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13652,13649,theory(equality)]) ).
cnf(13665,plain,
( n5 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13664,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(13666,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n5),succ(n5))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,13665,theory(equality)]) ).
cnf(13667,plain,
( sum(sum(pred(esk5_0),succ(n5)),sum(pred(n5),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,13665,theory(equality)]) ).
cnf(13668,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n10) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13666,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(13669,plain,
( sum(sum(pred(esk5_0),n6),sum(n4,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13667,219,theory(equality)]),208,theory(equality)]) ).
cnf(13678,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13653,13649,theory(equality)]) ).
cnf(13679,plain,
( n5 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13678,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(13682,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13668,13679,theory(equality)]) ).
cnf(13685,plain,
( n9 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13682,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(13686,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n9),succ(n9))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,13685,theory(equality)]) ).
cnf(13687,plain,
( sum(sum(pred(esk7_0),succ(n9)),sum(pred(n9),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,13685,theory(equality)]) ).
cnf(13688,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n7) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13686,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(13689,plain,
( sum(sum(pred(esk7_0),n10),sum(n8,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13687,215,theory(equality)]),204,theory(equality)]) ).
cnf(13694,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13669,13679,theory(equality)]) ).
cnf(13695,plain,
( n9 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13694,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(13700,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13688,13695,theory(equality)]) ).
cnf(13703,plain,
( n3 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13700,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(13704,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n3),succ(n3))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,13703,theory(equality)]) ).
cnf(13705,plain,
( sum(sum(pred(esk9_0),succ(n3)),sum(pred(n3),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,13703,theory(equality)]) ).
cnf(13706,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n6) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13704,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(13707,plain,
( sum(sum(pred(esk9_0),n4),sum(n2,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13705,221,theory(equality)]),210,theory(equality)]) ).
cnf(13710,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13689,13695,theory(equality)]) ).
cnf(13711,plain,
( n3 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13710,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(13714,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13706,13711,theory(equality)]) ).
cnf(13717,plain,
( n1 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13714,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(13720,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n1),succ(n1))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,13717,theory(equality)]) ).
cnf(13721,plain,
( sum(sum(pred(esk11_0),succ(n1)),sum(pred(n1),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,13717,theory(equality)]) ).
cnf(13722,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n2) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13720,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(13723,plain,
( sum(sum(pred(esk11_0),n2),sum(n0,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13721,223,theory(equality)]),212,theory(equality)]) ).
cnf(13726,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13707,13711,theory(equality)]) ).
cnf(13727,plain,
( n1 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13726,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(13730,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13722,13727,theory(equality)]) ).
cnf(13733,plain,
( n4 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13730,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(13734,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n4),succ(n4))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,13733,theory(equality)]) ).
cnf(13735,plain,
( sum(sum(pred(esk13_0),succ(n4)),sum(pred(n4),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,13733,theory(equality)]) ).
cnf(13736,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n8) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13734,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(13737,plain,
( sum(sum(pred(esk13_0),n5),sum(n3,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13735,220,theory(equality)]),209,theory(equality)]) ).
cnf(13742,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13723,13727,theory(equality)]) ).
cnf(13743,plain,
( n4 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13742,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(13746,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13736,13743,theory(equality)]) ).
cnf(13749,plain,
( n5 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13746,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(13750,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n5),succ(n5))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,13749,theory(equality)]) ).
cnf(13751,plain,
( sum(sum(pred(esk15_0),succ(n5)),sum(pred(n5),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,13749,theory(equality)]) ).
cnf(13752,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n10) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13750,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(13753,plain,
( sum(sum(pred(esk15_0),n6),sum(n4,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13751,219,theory(equality)]),208,theory(equality)]) ).
cnf(13758,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13737,13743,theory(equality)]) ).
cnf(13759,plain,
( n5 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13758,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(13762,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13752,13759,theory(equality)]) ).
cnf(13765,plain,
( n9 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13762,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(13766,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n9),succ(n9))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,13765,theory(equality)]) ).
cnf(13767,plain,
( sum(sum(pred(esk17_0),succ(n9)),sum(pred(n9),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,13765,theory(equality)]) ).
cnf(13768,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n7) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13766,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(13769,plain,
( sum(sum(pred(esk17_0),n10),sum(n8,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13767,215,theory(equality)]),204,theory(equality)]) ).
cnf(13774,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13753,13759,theory(equality)]) ).
cnf(13775,plain,
( n9 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13774,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(13778,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13768,13775,theory(equality)]) ).
cnf(13781,plain,
( n3 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13778,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(13782,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n3),succ(n3))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,13781,theory(equality)]) ).
cnf(13783,plain,
( sum(sum(pred(esk19_0),succ(n3)),sum(pred(n3),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,13781,theory(equality)]) ).
cnf(13784,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n6) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13782,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(13785,plain,
( sum(sum(pred(esk19_0),n4),sum(n2,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13783,221,theory(equality)]),210,theory(equality)]) ).
cnf(13790,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13769,13775,theory(equality)]) ).
cnf(13791,plain,
( n3 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13790,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(13794,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13784,13791,theory(equality)]) ).
cnf(13797,plain,
( n1 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13794,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(13802,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13785,13791,theory(equality)]) ).
cnf(13803,plain,
( n1 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13802,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(13804,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n1 != esk22_0 ),
inference(spm,[status(thm)],[59,13803,theory(equality)]) ).
cnf(13807,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[13804,13797]) ).
cnf(13808,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n3 != esk20_0 ),
inference(spm,[status(thm)],[13807,13791,theory(equality)]) ).
cnf(13809,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[13808,13781]) ).
cnf(13810,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n9 != esk18_0 ),
inference(spm,[status(thm)],[13809,13775,theory(equality)]) ).
cnf(13811,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[13810,13765]) ).
cnf(13812,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n5 != esk16_0 ),
inference(spm,[status(thm)],[13811,13759,theory(equality)]) ).
cnf(13813,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[13812,13749]) ).
cnf(13814,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n4 != esk14_0 ),
inference(spm,[status(thm)],[13813,13743,theory(equality)]) ).
cnf(13815,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[13814,13733]) ).
cnf(13816,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n1 != esk12_0 ),
inference(spm,[status(thm)],[13815,13727,theory(equality)]) ).
cnf(13817,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[13816,13717]) ).
cnf(13818,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n3 != esk10_0 ),
inference(spm,[status(thm)],[13817,13711,theory(equality)]) ).
cnf(13819,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[13818,13703]) ).
cnf(13820,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n9 != esk8_0 ),
inference(spm,[status(thm)],[13819,13695,theory(equality)]) ).
cnf(13821,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[13820,13685]) ).
cnf(13822,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n5 != esk6_0 ),
inference(spm,[status(thm)],[13821,13679,theory(equality)]) ).
cnf(13823,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[13822,13665]) ).
cnf(13824,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n4 != esk4_0 ),
inference(spm,[status(thm)],[13823,13649,theory(equality)]) ).
cnf(13825,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[13824,13648]) ).
cnf(13834,plain,
( sum(n10,sum(pred(n7),succ(n7))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13078,13825,theory(equality)]) ).
cnf(13835,plain,
( sum(sum(n4,succ(n7)),sum(pred(n7),n6)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13079,13825,theory(equality)]) ).
cnf(13838,plain,
( n2 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13834,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),89,theory(equality)]) ).
cnf(13839,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13835,217,theory(equality)]),150,theory(equality)]),206,theory(equality)]),130,theory(equality)]),190,theory(equality)]) ).
cnf(13840,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n2),succ(n2))) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,13838,theory(equality)]) ).
cnf(13841,plain,
( sum(sum(pred(esk3_0),succ(n2)),sum(pred(n2),succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,13838,theory(equality)]) ).
cnf(13842,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n4) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13840,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(13843,plain,
( sum(sum(pred(esk3_0),n3),sum(n1,succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13841,222,theory(equality)]),211,theory(equality)]) ).
cnf(13854,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13842,13839,theory(equality)]) ).
cnf(13855,plain,
( n8 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13854,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13856,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n8),succ(n8))) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,13855,theory(equality)]) ).
cnf(13857,plain,
( sum(sum(pred(esk5_0),succ(n8)),sum(pred(n8),succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,13855,theory(equality)]) ).
cnf(13858,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n5) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13856,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(13859,plain,
( sum(sum(pred(esk5_0),n9),sum(n7,succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13857,216,theory(equality)]),205,theory(equality)]) ).
cnf(13868,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13843,13839,theory(equality)]) ).
cnf(13869,plain,
( n8 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13868,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13872,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13858,13869,theory(equality)]) ).
cnf(13875,plain,
( n10 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13872,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13876,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n10),succ(n10))) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,13875,theory(equality)]) ).
cnf(13877,plain,
( sum(sum(pred(esk7_0),succ(n10)),sum(pred(n10),succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,13875,theory(equality)]) ).
cnf(13878,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n9) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13876,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(13879,plain,
( sum(sum(pred(esk7_0),n0),sum(n9,succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13877,214,theory(equality)]),203,theory(equality)]) ).
cnf(13884,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13859,13869,theory(equality)]) ).
cnf(13885,plain,
( n10 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13884,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13888,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13878,13885,theory(equality)]) ).
cnf(13891,plain,
( n7 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13888,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13892,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n7),succ(n7))) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,13891,theory(equality)]) ).
cnf(13893,plain,
( sum(sum(pred(esk9_0),succ(n7)),sum(pred(n7),succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,13891,theory(equality)]) ).
cnf(13894,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n3) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13892,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(13895,plain,
( sum(sum(pred(esk9_0),n8),sum(n6,succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13893,217,theory(equality)]),206,theory(equality)]) ).
cnf(13900,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13879,13885,theory(equality)]) ).
cnf(13901,plain,
( n7 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13900,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13904,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13894,13901,theory(equality)]) ).
cnf(13907,plain,
( n6 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13904,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13908,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n6),succ(n6))) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,13907,theory(equality)]) ).
cnf(13909,plain,
( sum(sum(pred(esk11_0),succ(n6)),sum(pred(n6),succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,13907,theory(equality)]) ).
cnf(13910,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n1) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13908,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(13911,plain,
( sum(sum(pred(esk11_0),n7),sum(n5,succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13909,218,theory(equality)]),207,theory(equality)]) ).
cnf(13916,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13895,13901,theory(equality)]) ).
cnf(13917,plain,
( n6 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13916,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13920,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13910,13917,theory(equality)]) ).
cnf(13923,plain,
( n2 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13920,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13924,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n2),succ(n2))) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,13923,theory(equality)]) ).
cnf(13925,plain,
( sum(sum(pred(esk13_0),succ(n2)),sum(pred(n2),succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,13923,theory(equality)]) ).
cnf(13926,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n4) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13924,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(13927,plain,
( sum(sum(pred(esk13_0),n3),sum(n1,succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13925,222,theory(equality)]),211,theory(equality)]) ).
cnf(13932,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13911,13917,theory(equality)]) ).
cnf(13933,plain,
( n2 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13932,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(13936,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13926,13933,theory(equality)]) ).
cnf(13939,plain,
( n8 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13936,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13940,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n8),succ(n8))) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,13939,theory(equality)]) ).
cnf(13941,plain,
( sum(sum(pred(esk15_0),succ(n8)),sum(pred(n8),succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,13939,theory(equality)]) ).
cnf(13942,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n5) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13940,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(13943,plain,
( sum(sum(pred(esk15_0),n9),sum(n7,succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13941,216,theory(equality)]),205,theory(equality)]) ).
cnf(13948,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13927,13933,theory(equality)]) ).
cnf(13949,plain,
( n8 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13948,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(13954,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13942,13949,theory(equality)]) ).
cnf(13957,plain,
( n10 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13954,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13958,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n10),succ(n10))) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,13957,theory(equality)]) ).
cnf(13959,plain,
( sum(sum(pred(esk17_0),succ(n10)),sum(pred(n10),succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,13957,theory(equality)]) ).
cnf(13960,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n9) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13958,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(13961,plain,
( sum(sum(pred(esk17_0),n0),sum(n9,succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13959,214,theory(equality)]),203,theory(equality)]) ).
cnf(13964,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13943,13949,theory(equality)]) ).
cnf(13965,plain,
( n10 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13964,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(13968,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13960,13965,theory(equality)]) ).
cnf(13971,plain,
( n7 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13968,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13974,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n7),succ(n7))) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,13971,theory(equality)]) ).
cnf(13975,plain,
( sum(sum(pred(esk19_0),succ(n7)),sum(pred(n7),succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,13971,theory(equality)]) ).
cnf(13976,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n3) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13974,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(13977,plain,
( sum(sum(pred(esk19_0),n8),sum(n6,succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13975,217,theory(equality)]),206,theory(equality)]) ).
cnf(13980,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13961,13965,theory(equality)]) ).
cnf(13981,plain,
( n7 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13980,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(13984,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13976,13981,theory(equality)]) ).
cnf(13987,plain,
( n6 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13984,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13992,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[13977,13981,theory(equality)]) ).
cnf(13993,plain,
( n6 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13992,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(13994,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n6 != esk22_0 ),
inference(spm,[status(thm)],[59,13993,theory(equality)]) ).
cnf(13995,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[13994,13987]) ).
cnf(13996,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n7 != esk20_0 ),
inference(spm,[status(thm)],[13995,13981,theory(equality)]) ).
cnf(13997,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[13996,13971]) ).
cnf(13998,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n10 != esk18_0 ),
inference(spm,[status(thm)],[13997,13965,theory(equality)]) ).
cnf(14001,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[13998,13957]) ).
cnf(14002,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n8 != esk16_0 ),
inference(spm,[status(thm)],[14001,13949,theory(equality)]) ).
cnf(14003,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[14002,13939]) ).
cnf(14004,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n2 != esk14_0 ),
inference(spm,[status(thm)],[14003,13933,theory(equality)]) ).
cnf(14005,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[14004,13923]) ).
cnf(14006,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n6 != esk12_0 ),
inference(spm,[status(thm)],[14005,13917,theory(equality)]) ).
cnf(14007,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[14006,13907]) ).
cnf(14008,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n7 != esk10_0 ),
inference(spm,[status(thm)],[14007,13901,theory(equality)]) ).
cnf(14009,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[14008,13891]) ).
cnf(14010,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n10 != esk8_0 ),
inference(spm,[status(thm)],[14009,13885,theory(equality)]) ).
cnf(14011,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[14010,13875]) ).
cnf(14012,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n8 != esk6_0 ),
inference(spm,[status(thm)],[14011,13869,theory(equality)]) ).
cnf(14013,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[14012,13855]) ).
cnf(14014,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n2 != esk4_0 ),
inference(spm,[status(thm)],[14013,13839,theory(equality)]) ).
cnf(14015,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(csr,[status(thm)],[14014,13838]) ).
cnf(14023,plain,
( sum(n10,sum(pred(n6),succ(n6))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13078,14015,theory(equality)]) ).
cnf(14024,plain,
( sum(sum(n4,succ(n6)),sum(pred(n6),n6)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13079,14015,theory(equality)]) ).
cnf(14027,plain,
( n0 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14023,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),91,theory(equality)]) ).
cnf(14028,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14024,218,theory(equality)]),151,theory(equality)]),207,theory(equality)]),141,theory(equality)]),202,theory(equality)]) ).
cnf(14029,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n0),succ(n0))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,14027,theory(equality)]) ).
cnf(14030,plain,
( sum(sum(pred(esk3_0),succ(n0)),sum(pred(n0),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,14027,theory(equality)]) ).
cnf(14031,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n0) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14029,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(14032,plain,
( sum(sum(pred(esk3_0),n1),sum(n10,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14030,224,theory(equality)]),213,theory(equality)]) ).
cnf(14049,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14031,14028,theory(equality)]) ).
cnf(14050,plain,
( n0 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14049,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14051,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n0),succ(n0))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,14050,theory(equality)]) ).
cnf(14052,plain,
( sum(sum(pred(esk5_0),succ(n0)),sum(pred(n0),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,14050,theory(equality)]) ).
cnf(14053,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n0) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14051,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(14054,plain,
( sum(sum(pred(esk5_0),n1),sum(n10,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14052,224,theory(equality)]),213,theory(equality)]) ).
cnf(14057,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14032,14028,theory(equality)]) ).
cnf(14058,plain,
( n0 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14057,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14061,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14053,14058,theory(equality)]) ).
cnf(14064,plain,
( n0 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14061,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14067,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n0),succ(n0))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,14064,theory(equality)]) ).
cnf(14068,plain,
( sum(sum(pred(esk7_0),succ(n0)),sum(pred(n0),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,14064,theory(equality)]) ).
cnf(14069,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n0) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14067,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(14070,plain,
( sum(sum(pred(esk7_0),n1),sum(n10,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14068,224,theory(equality)]),213,theory(equality)]) ).
cnf(14073,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14054,14058,theory(equality)]) ).
cnf(14074,plain,
( n0 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14073,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14077,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14069,14074,theory(equality)]) ).
cnf(14080,plain,
( n0 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14077,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14081,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n0),succ(n0))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,14080,theory(equality)]) ).
cnf(14082,plain,
( sum(sum(pred(esk9_0),succ(n0)),sum(pred(n0),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,14080,theory(equality)]) ).
cnf(14083,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n0) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14081,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(14084,plain,
( sum(sum(pred(esk9_0),n1),sum(n10,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14082,224,theory(equality)]),213,theory(equality)]) ).
cnf(14089,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14070,14074,theory(equality)]) ).
cnf(14090,plain,
( n0 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14089,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14093,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14083,14090,theory(equality)]) ).
cnf(14096,plain,
( n0 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14093,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14097,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n0),succ(n0))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,14096,theory(equality)]) ).
cnf(14098,plain,
( sum(sum(pred(esk11_0),succ(n0)),sum(pred(n0),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,14096,theory(equality)]) ).
cnf(14099,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n0) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14097,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(14100,plain,
( sum(sum(pred(esk11_0),n1),sum(n10,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14098,224,theory(equality)]),213,theory(equality)]) ).
cnf(14105,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14084,14090,theory(equality)]) ).
cnf(14106,plain,
( n0 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14105,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14109,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14099,14106,theory(equality)]) ).
cnf(14112,plain,
( n0 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14109,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14113,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n0),succ(n0))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,14112,theory(equality)]) ).
cnf(14114,plain,
( sum(sum(pred(esk13_0),succ(n0)),sum(pred(n0),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,14112,theory(equality)]) ).
cnf(14115,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n0) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14113,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(14116,plain,
( sum(sum(pred(esk13_0),n1),sum(n10,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14114,224,theory(equality)]),213,theory(equality)]) ).
cnf(14121,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14100,14106,theory(equality)]) ).
cnf(14122,plain,
( n0 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14121,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14125,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14115,14122,theory(equality)]) ).
cnf(14128,plain,
( n0 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14125,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14129,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n0),succ(n0))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,14128,theory(equality)]) ).
cnf(14130,plain,
( sum(sum(pred(esk15_0),succ(n0)),sum(pred(n0),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,14128,theory(equality)]) ).
cnf(14131,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n0) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14129,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(14132,plain,
( sum(sum(pred(esk15_0),n1),sum(n10,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14130,224,theory(equality)]),213,theory(equality)]) ).
cnf(14137,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14116,14122,theory(equality)]) ).
cnf(14138,plain,
( n0 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14137,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14141,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14131,14138,theory(equality)]) ).
cnf(14144,plain,
( n0 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14141,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14145,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n0),succ(n0))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,14144,theory(equality)]) ).
cnf(14146,plain,
( sum(sum(pred(esk17_0),succ(n0)),sum(pred(n0),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,14144,theory(equality)]) ).
cnf(14147,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n0) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14145,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(14148,plain,
( sum(sum(pred(esk17_0),n1),sum(n10,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14146,224,theory(equality)]),213,theory(equality)]) ).
cnf(14153,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14132,14138,theory(equality)]) ).
cnf(14154,plain,
( n0 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14153,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14157,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14147,14154,theory(equality)]) ).
cnf(14160,plain,
( n0 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14157,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14161,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n0),succ(n0))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,14160,theory(equality)]) ).
cnf(14162,plain,
( sum(sum(pred(esk19_0),succ(n0)),sum(pred(n0),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,14160,theory(equality)]) ).
cnf(14163,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n0) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14161,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(14164,plain,
( sum(sum(pred(esk19_0),n1),sum(n10,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14162,224,theory(equality)]),213,theory(equality)]) ).
cnf(14169,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14148,14154,theory(equality)]) ).
cnf(14170,plain,
( n0 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14169,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14173,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14163,14170,theory(equality)]) ).
cnf(14176,plain,
( n0 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14173,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14181,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14164,14170,theory(equality)]) ).
cnf(14182,plain,
( n0 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14181,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(14183,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n0 != esk22_0 ),
inference(spm,[status(thm)],[59,14182,theory(equality)]) ).
cnf(14186,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[14183,14176]) ).
cnf(14187,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n0 != esk20_0 ),
inference(spm,[status(thm)],[14186,14170,theory(equality)]) ).
cnf(14188,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[14187,14160]) ).
cnf(14189,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n0 != esk18_0 ),
inference(spm,[status(thm)],[14188,14154,theory(equality)]) ).
cnf(14190,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[14189,14144]) ).
cnf(14191,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n0 != esk16_0 ),
inference(spm,[status(thm)],[14190,14138,theory(equality)]) ).
cnf(14192,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[14191,14128]) ).
cnf(14193,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n0 != esk14_0 ),
inference(spm,[status(thm)],[14192,14122,theory(equality)]) ).
cnf(14194,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[14193,14112]) ).
cnf(14195,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n0 != esk12_0 ),
inference(spm,[status(thm)],[14194,14106,theory(equality)]) ).
cnf(14196,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[14195,14096]) ).
cnf(14197,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n0 != esk10_0 ),
inference(spm,[status(thm)],[14196,14090,theory(equality)]) ).
cnf(14198,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[14197,14080]) ).
cnf(14199,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n0 != esk8_0 ),
inference(spm,[status(thm)],[14198,14074,theory(equality)]) ).
cnf(14200,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[14199,14064]) ).
cnf(14201,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n0 != esk6_0 ),
inference(spm,[status(thm)],[14200,14058,theory(equality)]) ).
cnf(14202,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[14201,14050]) ).
cnf(14203,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != esk4_0 ),
inference(spm,[status(thm)],[14202,14028,theory(equality)]) ).
cnf(14204,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[14203,14027]) ).
cnf(14211,plain,
( sum(n10,sum(pred(n5),succ(n5))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[13078,14204,theory(equality)]) ).
cnf(14212,plain,
( sum(sum(n4,succ(n5)),sum(pred(n5),n6)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[13079,14204,theory(equality)]) ).
cnf(14215,plain,
( n9 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14211,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14216,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14212,219,theory(equality)]),152,theory(equality)]),208,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14217,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n9),succ(n9))) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,14215,theory(equality)]) ).
cnf(14218,plain,
( sum(sum(pred(esk3_0),succ(n9)),sum(pred(n9),succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,14215,theory(equality)]) ).
cnf(14219,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n7) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14217,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(14220,plain,
( sum(sum(pred(esk3_0),n10),sum(n8,succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14218,215,theory(equality)]),204,theory(equality)]) ).
cnf(14231,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14219,14216,theory(equality)]) ).
cnf(14232,plain,
( n3 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14231,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(14233,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n3),succ(n3))) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,14232,theory(equality)]) ).
cnf(14234,plain,
( sum(sum(pred(esk5_0),succ(n3)),sum(pred(n3),succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,14232,theory(equality)]) ).
cnf(14235,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n6) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14233,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(14236,plain,
( sum(sum(pred(esk5_0),n4),sum(n2,succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14234,221,theory(equality)]),210,theory(equality)]) ).
cnf(14245,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14220,14216,theory(equality)]) ).
cnf(14246,plain,
( n3 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14245,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(14249,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14235,14246,theory(equality)]) ).
cnf(14252,plain,
( n1 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14249,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14253,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n1),succ(n1))) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,14252,theory(equality)]) ).
cnf(14254,plain,
( sum(sum(pred(esk7_0),succ(n1)),sum(pred(n1),succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,14252,theory(equality)]) ).
cnf(14255,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n2) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14253,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(14256,plain,
( sum(sum(pred(esk7_0),n2),sum(n0,succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14254,223,theory(equality)]),212,theory(equality)]) ).
cnf(14261,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14236,14246,theory(equality)]) ).
cnf(14262,plain,
( n1 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14261,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14267,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14255,14262,theory(equality)]) ).
cnf(14270,plain,
( n4 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14267,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14271,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n4),succ(n4))) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,14270,theory(equality)]) ).
cnf(14272,plain,
( sum(sum(pred(esk9_0),succ(n4)),sum(pred(n4),succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,14270,theory(equality)]) ).
cnf(14273,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n8) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14271,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(14274,plain,
( sum(sum(pred(esk9_0),n5),sum(n3,succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14272,220,theory(equality)]),209,theory(equality)]) ).
cnf(14277,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14256,14262,theory(equality)]) ).
cnf(14278,plain,
( n4 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14277,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14281,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14273,14278,theory(equality)]) ).
cnf(14284,plain,
( n5 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14281,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(14287,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n5),succ(n5))) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,14284,theory(equality)]) ).
cnf(14288,plain,
( sum(sum(pred(esk11_0),succ(n5)),sum(pred(n5),succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,14284,theory(equality)]) ).
cnf(14289,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n10) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14287,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(14290,plain,
( sum(sum(pred(esk11_0),n6),sum(n4,succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14288,219,theory(equality)]),208,theory(equality)]) ).
cnf(14293,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14274,14278,theory(equality)]) ).
cnf(14294,plain,
( n5 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14293,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(14297,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14289,14294,theory(equality)]) ).
cnf(14300,plain,
( n9 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14297,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14301,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n9),succ(n9))) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,14300,theory(equality)]) ).
cnf(14302,plain,
( sum(sum(pred(esk13_0),succ(n9)),sum(pred(n9),succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,14300,theory(equality)]) ).
cnf(14303,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n7) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14301,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(14304,plain,
( sum(sum(pred(esk13_0),n10),sum(n8,succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14302,215,theory(equality)]),204,theory(equality)]) ).
cnf(14309,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14290,14294,theory(equality)]) ).
cnf(14310,plain,
( n9 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14309,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14313,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14303,14310,theory(equality)]) ).
cnf(14316,plain,
( n3 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14313,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(14317,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n3),succ(n3))) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,14316,theory(equality)]) ).
cnf(14318,plain,
( sum(sum(pred(esk15_0),succ(n3)),sum(pred(n3),succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,14316,theory(equality)]) ).
cnf(14319,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n6) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14317,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(14320,plain,
( sum(sum(pred(esk15_0),n4),sum(n2,succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14318,221,theory(equality)]),210,theory(equality)]) ).
cnf(14325,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14304,14310,theory(equality)]) ).
cnf(14326,plain,
( n3 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14325,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(14329,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14319,14326,theory(equality)]) ).
cnf(14332,plain,
( n1 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14329,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14333,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n1),succ(n1))) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,14332,theory(equality)]) ).
cnf(14334,plain,
( sum(sum(pred(esk17_0),succ(n1)),sum(pred(n1),succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,14332,theory(equality)]) ).
cnf(14335,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n2) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14333,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(14336,plain,
( sum(sum(pred(esk17_0),n2),sum(n0,succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14334,223,theory(equality)]),212,theory(equality)]) ).
cnf(14341,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14320,14326,theory(equality)]) ).
cnf(14342,plain,
( n1 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14341,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14345,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14335,14342,theory(equality)]) ).
cnf(14348,plain,
( n4 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14345,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14349,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n4),succ(n4))) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,14348,theory(equality)]) ).
cnf(14350,plain,
( sum(sum(pred(esk19_0),succ(n4)),sum(pred(n4),succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,14348,theory(equality)]) ).
cnf(14351,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n8) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14349,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(14352,plain,
( sum(sum(pred(esk19_0),n5),sum(n3,succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14350,220,theory(equality)]),209,theory(equality)]) ).
cnf(14357,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14336,14342,theory(equality)]) ).
cnf(14358,plain,
( n4 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14357,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14361,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14351,14358,theory(equality)]) ).
cnf(14364,plain,
( n5 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14361,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(14369,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[14352,14358,theory(equality)]) ).
cnf(14370,plain,
( n5 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14369,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(14371,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n5 != esk22_0 ),
inference(spm,[status(thm)],[59,14370,theory(equality)]) ).
cnf(14374,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[14371,14364]) ).
cnf(14375,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n4 != esk20_0 ),
inference(spm,[status(thm)],[14374,14358,theory(equality)]) ).
cnf(14376,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[14375,14348]) ).
cnf(14377,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n1 != esk18_0 ),
inference(spm,[status(thm)],[14376,14342,theory(equality)]) ).
cnf(14378,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[14377,14332]) ).
cnf(14379,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n3 != esk16_0 ),
inference(spm,[status(thm)],[14378,14326,theory(equality)]) ).
cnf(14380,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[14379,14316]) ).
cnf(14381,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n9 != esk14_0 ),
inference(spm,[status(thm)],[14380,14310,theory(equality)]) ).
cnf(14382,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[14381,14300]) ).
cnf(14383,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n5 != esk12_0 ),
inference(spm,[status(thm)],[14382,14294,theory(equality)]) ).
cnf(14384,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[14383,14284]) ).
cnf(14385,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n4 != esk10_0 ),
inference(spm,[status(thm)],[14384,14278,theory(equality)]) ).
cnf(14386,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[14385,14270]) ).
cnf(14387,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n1 != esk8_0 ),
inference(spm,[status(thm)],[14386,14262,theory(equality)]) ).
cnf(14388,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[14387,14252]) ).
cnf(14389,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n3 != esk6_0 ),
inference(spm,[status(thm)],[14388,14246,theory(equality)]) ).
cnf(14390,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[14389,14232]) ).
cnf(14391,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n9 != esk4_0 ),
inference(spm,[status(thm)],[14390,14216,theory(equality)]) ).
cnf(14392,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(csr,[status(thm)],[14391,14215]) ).
cnf(14398,plain,
( sum(n10,sum(pred(n4),succ(n4))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13078,14392,theory(equality)]) ).
cnf(14399,plain,
( sum(sum(n4,succ(n4)),sum(pred(n4),n6)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13079,14392,theory(equality)]) ).
cnf(14402,plain,
( n7 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14398,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),84,theory(equality)]) ).
cnf(14403,plain,
( n7 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14399,220,theory(equality)]),153,theory(equality)]),209,theory(equality)]),163,theory(equality)]),94,theory(equality)]) ).
cnf(14404,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n7),succ(n7))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,14402,theory(equality)]) ).
cnf(14405,plain,
( sum(sum(pred(esk3_0),succ(n7)),sum(pred(n7),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,14402,theory(equality)]) ).
cnf(14406,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n3) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14404,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(14407,plain,
( sum(sum(pred(esk3_0),n8),sum(n6,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14405,217,theory(equality)]),206,theory(equality)]) ).
cnf(14418,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14406,14403,theory(equality)]) ).
cnf(14419,plain,
( n6 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14418,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(14420,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n6),succ(n6))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,14419,theory(equality)]) ).
cnf(14421,plain,
( sum(sum(pred(esk5_0),succ(n6)),sum(pred(n6),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,14419,theory(equality)]) ).
cnf(14422,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n1) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14420,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(14423,plain,
( sum(sum(pred(esk5_0),n7),sum(n5,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14421,218,theory(equality)]),207,theory(equality)]) ).
cnf(14432,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14407,14403,theory(equality)]) ).
cnf(14433,plain,
( n6 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14432,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(14436,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14422,14433,theory(equality)]) ).
cnf(14439,plain,
( n2 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14436,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(14440,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n2),succ(n2))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,14439,theory(equality)]) ).
cnf(14441,plain,
( sum(sum(pred(esk7_0),succ(n2)),sum(pred(n2),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,14439,theory(equality)]) ).
cnf(14442,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n4) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14440,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(14443,plain,
( sum(sum(pred(esk7_0),n3),sum(n1,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14441,222,theory(equality)]),211,theory(equality)]) ).
cnf(14448,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14423,14433,theory(equality)]) ).
cnf(14449,plain,
( n2 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14448,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(14452,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14442,14449,theory(equality)]) ).
cnf(14455,plain,
( n8 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14452,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(14456,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n8),succ(n8))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,14455,theory(equality)]) ).
cnf(14457,plain,
( sum(sum(pred(esk9_0),succ(n8)),sum(pred(n8),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,14455,theory(equality)]) ).
cnf(14458,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n5) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14456,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(14459,plain,
( sum(sum(pred(esk9_0),n9),sum(n7,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14457,216,theory(equality)]),205,theory(equality)]) ).
cnf(14464,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14443,14449,theory(equality)]) ).
cnf(14465,plain,
( n8 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14464,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(14470,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14458,14465,theory(equality)]) ).
cnf(14473,plain,
( n10 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14470,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(14474,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n10),succ(n10))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,14473,theory(equality)]) ).
cnf(14475,plain,
( sum(sum(pred(esk11_0),succ(n10)),sum(pred(n10),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,14473,theory(equality)]) ).
cnf(14476,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n9) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14474,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(14477,plain,
( sum(sum(pred(esk11_0),n0),sum(n9,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14475,214,theory(equality)]),203,theory(equality)]) ).
cnf(14480,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14459,14465,theory(equality)]) ).
cnf(14481,plain,
( n10 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14480,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(14484,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14476,14481,theory(equality)]) ).
cnf(14487,plain,
( n7 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14484,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(14490,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n7),succ(n7))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,14487,theory(equality)]) ).
cnf(14491,plain,
( sum(sum(pred(esk13_0),succ(n7)),sum(pred(n7),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,14487,theory(equality)]) ).
cnf(14492,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n3) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14490,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(14493,plain,
( sum(sum(pred(esk13_0),n8),sum(n6,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14491,217,theory(equality)]),206,theory(equality)]) ).
cnf(14496,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14477,14481,theory(equality)]) ).
cnf(14497,plain,
( n7 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14496,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(14500,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14492,14497,theory(equality)]) ).
cnf(14503,plain,
( n6 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14500,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(14504,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n6),succ(n6))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,14503,theory(equality)]) ).
cnf(14505,plain,
( sum(sum(pred(esk15_0),succ(n6)),sum(pred(n6),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,14503,theory(equality)]) ).
cnf(14506,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n1) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14504,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(14507,plain,
( sum(sum(pred(esk15_0),n7),sum(n5,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14505,218,theory(equality)]),207,theory(equality)]) ).
cnf(14512,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14493,14497,theory(equality)]) ).
cnf(14513,plain,
( n6 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14512,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(14516,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14506,14513,theory(equality)]) ).
cnf(14519,plain,
( n2 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14516,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(14520,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n2),succ(n2))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,14519,theory(equality)]) ).
cnf(14521,plain,
( sum(sum(pred(esk17_0),succ(n2)),sum(pred(n2),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,14519,theory(equality)]) ).
cnf(14522,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n4) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14520,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(14523,plain,
( sum(sum(pred(esk17_0),n3),sum(n1,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14521,222,theory(equality)]),211,theory(equality)]) ).
cnf(14528,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14507,14513,theory(equality)]) ).
cnf(14529,plain,
( n2 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14528,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(14532,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14522,14529,theory(equality)]) ).
cnf(14535,plain,
( n8 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14532,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(14536,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n8),succ(n8))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,14535,theory(equality)]) ).
cnf(14537,plain,
( sum(sum(pred(esk19_0),succ(n8)),sum(pred(n8),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,14535,theory(equality)]) ).
cnf(14538,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n5) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14536,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(14539,plain,
( sum(sum(pred(esk19_0),n9),sum(n7,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14537,216,theory(equality)]),205,theory(equality)]) ).
cnf(14544,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14523,14529,theory(equality)]) ).
cnf(14545,plain,
( n8 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14544,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(14548,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14538,14545,theory(equality)]) ).
cnf(14551,plain,
( n10 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14548,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(14556,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14539,14545,theory(equality)]) ).
cnf(14557,plain,
( n10 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14556,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(14558,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n10 != esk22_0 ),
inference(spm,[status(thm)],[59,14557,theory(equality)]) ).
cnf(14561,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[14558,14551]) ).
cnf(14562,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n8 != esk20_0 ),
inference(spm,[status(thm)],[14561,14545,theory(equality)]) ).
cnf(14563,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[14562,14535]) ).
cnf(14564,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n2 != esk18_0 ),
inference(spm,[status(thm)],[14563,14529,theory(equality)]) ).
cnf(14565,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[14564,14519]) ).
cnf(14566,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n6 != esk16_0 ),
inference(spm,[status(thm)],[14565,14513,theory(equality)]) ).
cnf(14567,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[14566,14503]) ).
cnf(14568,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n7 != esk14_0 ),
inference(spm,[status(thm)],[14567,14497,theory(equality)]) ).
cnf(14569,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[14568,14487]) ).
cnf(14570,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n10 != esk12_0 ),
inference(spm,[status(thm)],[14569,14481,theory(equality)]) ).
cnf(14571,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[14570,14473]) ).
cnf(14572,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n8 != esk10_0 ),
inference(spm,[status(thm)],[14571,14465,theory(equality)]) ).
cnf(14573,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[14572,14455]) ).
cnf(14574,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n2 != esk8_0 ),
inference(spm,[status(thm)],[14573,14449,theory(equality)]) ).
cnf(14575,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[14574,14439]) ).
cnf(14576,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n6 != esk6_0 ),
inference(spm,[status(thm)],[14575,14433,theory(equality)]) ).
cnf(14577,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[14576,14419]) ).
cnf(14578,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n7 != esk4_0 ),
inference(spm,[status(thm)],[14577,14403,theory(equality)]) ).
cnf(14579,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[14578,14402]) ).
cnf(14584,plain,
( sum(n10,sum(pred(n3),succ(n3))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[13078,14579,theory(equality)]) ).
cnf(14585,plain,
( sum(sum(n4,succ(n3)),sum(pred(n3),n6)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[13079,14579,theory(equality)]) ).
cnf(14588,plain,
( n5 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14584,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),86,theory(equality)]) ).
cnf(14589,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14585,221,theory(equality)]),154,theory(equality)]),210,theory(equality)]),174,theory(equality)]),106,theory(equality)]) ).
cnf(14590,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n5),succ(n5))) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,14588,theory(equality)]) ).
cnf(14591,plain,
( sum(sum(pred(esk3_0),succ(n5)),sum(pred(n5),succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,14588,theory(equality)]) ).
cnf(14592,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n10) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14590,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(14593,plain,
( sum(sum(pred(esk3_0),n6),sum(n4,succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14591,219,theory(equality)]),208,theory(equality)]) ).
cnf(14604,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14592,14589,theory(equality)]) ).
cnf(14605,plain,
( n9 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14604,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14606,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n9),succ(n9))) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,14605,theory(equality)]) ).
cnf(14607,plain,
( sum(sum(pred(esk5_0),succ(n9)),sum(pred(n9),succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,14605,theory(equality)]) ).
cnf(14608,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n7) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14606,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(14609,plain,
( sum(sum(pred(esk5_0),n10),sum(n8,succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14607,215,theory(equality)]),204,theory(equality)]) ).
cnf(14618,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14593,14589,theory(equality)]) ).
cnf(14619,plain,
( n9 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14618,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14622,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14608,14619,theory(equality)]) ).
cnf(14625,plain,
( n3 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14622,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(14626,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n3),succ(n3))) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,14625,theory(equality)]) ).
cnf(14627,plain,
( sum(sum(pred(esk7_0),succ(n3)),sum(pred(n3),succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,14625,theory(equality)]) ).
cnf(14628,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n6) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14626,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(14629,plain,
( sum(sum(pred(esk7_0),n4),sum(n2,succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14627,221,theory(equality)]),210,theory(equality)]) ).
cnf(14634,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14609,14619,theory(equality)]) ).
cnf(14635,plain,
( n3 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14634,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(14638,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14628,14635,theory(equality)]) ).
cnf(14641,plain,
( n1 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14638,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14642,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n1),succ(n1))) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,14641,theory(equality)]) ).
cnf(14643,plain,
( sum(sum(pred(esk9_0),succ(n1)),sum(pred(n1),succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,14641,theory(equality)]) ).
cnf(14644,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n2) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14642,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(14645,plain,
( sum(sum(pred(esk9_0),n2),sum(n0,succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14643,223,theory(equality)]),212,theory(equality)]) ).
cnf(14650,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14629,14635,theory(equality)]) ).
cnf(14651,plain,
( n1 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14650,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14656,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14644,14651,theory(equality)]) ).
cnf(14659,plain,
( n4 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14656,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14660,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n4),succ(n4))) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,14659,theory(equality)]) ).
cnf(14661,plain,
( sum(sum(pred(esk11_0),succ(n4)),sum(pred(n4),succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,14659,theory(equality)]) ).
cnf(14662,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n8) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14660,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(14663,plain,
( sum(sum(pred(esk11_0),n5),sum(n3,succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14661,220,theory(equality)]),209,theory(equality)]) ).
cnf(14666,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14645,14651,theory(equality)]) ).
cnf(14667,plain,
( n4 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14666,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14670,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14662,14667,theory(equality)]) ).
cnf(14673,plain,
( n5 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14670,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(14676,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n5),succ(n5))) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,14673,theory(equality)]) ).
cnf(14677,plain,
( sum(sum(pred(esk13_0),succ(n5)),sum(pred(n5),succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,14673,theory(equality)]) ).
cnf(14678,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n10) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14676,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(14679,plain,
( sum(sum(pred(esk13_0),n6),sum(n4,succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14677,219,theory(equality)]),208,theory(equality)]) ).
cnf(14682,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14663,14667,theory(equality)]) ).
cnf(14683,plain,
( n5 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14682,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(14686,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14678,14683,theory(equality)]) ).
cnf(14689,plain,
( n9 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14686,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14690,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n9),succ(n9))) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,14689,theory(equality)]) ).
cnf(14691,plain,
( sum(sum(pred(esk15_0),succ(n9)),sum(pred(n9),succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,14689,theory(equality)]) ).
cnf(14692,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n7) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14690,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(14693,plain,
( sum(sum(pred(esk15_0),n10),sum(n8,succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14691,215,theory(equality)]),204,theory(equality)]) ).
cnf(14698,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14679,14683,theory(equality)]) ).
cnf(14699,plain,
( n9 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14698,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14702,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14692,14699,theory(equality)]) ).
cnf(14705,plain,
( n3 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14702,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(14706,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n3),succ(n3))) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,14705,theory(equality)]) ).
cnf(14707,plain,
( sum(sum(pred(esk17_0),succ(n3)),sum(pred(n3),succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,14705,theory(equality)]) ).
cnf(14708,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n6) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14706,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(14709,plain,
( sum(sum(pred(esk17_0),n4),sum(n2,succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14707,221,theory(equality)]),210,theory(equality)]) ).
cnf(14714,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14693,14699,theory(equality)]) ).
cnf(14715,plain,
( n3 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14714,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(14718,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14708,14715,theory(equality)]) ).
cnf(14721,plain,
( n1 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14718,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14722,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n1),succ(n1))) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,14721,theory(equality)]) ).
cnf(14723,plain,
( sum(sum(pred(esk19_0),succ(n1)),sum(pred(n1),succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,14721,theory(equality)]) ).
cnf(14724,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n2) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14722,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(14725,plain,
( sum(sum(pred(esk19_0),n2),sum(n0,succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14723,223,theory(equality)]),212,theory(equality)]) ).
cnf(14730,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14709,14715,theory(equality)]) ).
cnf(14731,plain,
( n1 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14730,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14734,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14724,14731,theory(equality)]) ).
cnf(14737,plain,
( n4 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14734,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14742,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[14725,14731,theory(equality)]) ).
cnf(14743,plain,
( n4 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14742,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14744,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n4 != esk22_0 ),
inference(spm,[status(thm)],[59,14743,theory(equality)]) ).
cnf(14747,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[14744,14737]) ).
cnf(14748,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n1 != esk20_0 ),
inference(spm,[status(thm)],[14747,14731,theory(equality)]) ).
cnf(14749,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[14748,14721]) ).
cnf(14750,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n3 != esk18_0 ),
inference(spm,[status(thm)],[14749,14715,theory(equality)]) ).
cnf(14751,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[14750,14705]) ).
cnf(14752,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n9 != esk16_0 ),
inference(spm,[status(thm)],[14751,14699,theory(equality)]) ).
cnf(14753,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[14752,14689]) ).
cnf(14754,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n5 != esk14_0 ),
inference(spm,[status(thm)],[14753,14683,theory(equality)]) ).
cnf(14755,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[14754,14673]) ).
cnf(14756,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n4 != esk12_0 ),
inference(spm,[status(thm)],[14755,14667,theory(equality)]) ).
cnf(14757,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[14756,14659]) ).
cnf(14758,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n1 != esk10_0 ),
inference(spm,[status(thm)],[14757,14651,theory(equality)]) ).
cnf(14759,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[14758,14641]) ).
cnf(14760,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n3 != esk8_0 ),
inference(spm,[status(thm)],[14759,14635,theory(equality)]) ).
cnf(14761,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[14760,14625]) ).
cnf(14762,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n9 != esk6_0 ),
inference(spm,[status(thm)],[14761,14619,theory(equality)]) ).
cnf(14763,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[14762,14605]) ).
cnf(14764,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| n5 != esk4_0 ),
inference(spm,[status(thm)],[14763,14589,theory(equality)]) ).
cnf(14765,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(csr,[status(thm)],[14764,14588]) ).
cnf(14769,plain,
( sum(n10,sum(pred(n2),succ(n2))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13078,14765,theory(equality)]) ).
cnf(14770,plain,
( sum(sum(n4,succ(n2)),sum(pred(n2),n6)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[13079,14765,theory(equality)]) ).
cnf(14773,plain,
( n3 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14769,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),88,theory(equality)]) ).
cnf(14774,plain,
( n3 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14770,222,theory(equality)]),155,theory(equality)]),211,theory(equality)]),185,theory(equality)]),118,theory(equality)]) ).
cnf(14775,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n3),succ(n3))) = esk6_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,14773,theory(equality)]) ).
cnf(14776,plain,
( sum(sum(pred(esk3_0),succ(n3)),sum(pred(n3),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,14773,theory(equality)]) ).
cnf(14777,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n6) = esk6_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14775,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(14778,plain,
( sum(sum(pred(esk3_0),n4),sum(n2,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14776,221,theory(equality)]),210,theory(equality)]) ).
cnf(14789,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14777,14774,theory(equality)]) ).
cnf(14790,plain,
( n1 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14789,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14791,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n1),succ(n1))) = esk8_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,14790,theory(equality)]) ).
cnf(14792,plain,
( sum(sum(pred(esk5_0),succ(n1)),sum(pred(n1),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,14790,theory(equality)]) ).
cnf(14793,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n2) = esk8_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14791,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(14794,plain,
( sum(sum(pred(esk5_0),n2),sum(n0,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14792,223,theory(equality)]),212,theory(equality)]) ).
cnf(14803,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14778,14774,theory(equality)]) ).
cnf(14804,plain,
( n1 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14803,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14807,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14793,14804,theory(equality)]) ).
cnf(14810,plain,
( n4 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14807,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14811,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n4),succ(n4))) = esk10_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,14810,theory(equality)]) ).
cnf(14812,plain,
( sum(sum(pred(esk7_0),succ(n4)),sum(pred(n4),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,14810,theory(equality)]) ).
cnf(14813,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n8) = esk10_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14811,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(14814,plain,
( sum(sum(pred(esk7_0),n5),sum(n3,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14812,220,theory(equality)]),209,theory(equality)]) ).
cnf(14819,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14794,14804,theory(equality)]) ).
cnf(14820,plain,
( n4 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14819,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14825,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14813,14820,theory(equality)]) ).
cnf(14828,plain,
( n5 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14825,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(14829,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n5),succ(n5))) = esk12_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,14828,theory(equality)]) ).
cnf(14830,plain,
( sum(sum(pred(esk9_0),succ(n5)),sum(pred(n5),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,14828,theory(equality)]) ).
cnf(14831,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n10) = esk12_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14829,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(14832,plain,
( sum(sum(pred(esk9_0),n6),sum(n4,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14830,219,theory(equality)]),208,theory(equality)]) ).
cnf(14835,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14814,14820,theory(equality)]) ).
cnf(14836,plain,
( n5 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14835,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(14839,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14831,14836,theory(equality)]) ).
cnf(14842,plain,
( n9 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14839,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14845,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n9),succ(n9))) = esk14_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,14842,theory(equality)]) ).
cnf(14846,plain,
( sum(sum(pred(esk11_0),succ(n9)),sum(pred(n9),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,14842,theory(equality)]) ).
cnf(14847,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n7) = esk14_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14845,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(14848,plain,
( sum(sum(pred(esk11_0),n10),sum(n8,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14846,215,theory(equality)]),204,theory(equality)]) ).
cnf(14851,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14832,14836,theory(equality)]) ).
cnf(14852,plain,
( n9 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14851,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14855,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14847,14852,theory(equality)]) ).
cnf(14858,plain,
( n3 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14855,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(14859,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n3),succ(n3))) = esk16_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,14858,theory(equality)]) ).
cnf(14860,plain,
( sum(sum(pred(esk13_0),succ(n3)),sum(pred(n3),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,14858,theory(equality)]) ).
cnf(14861,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n6) = esk16_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14859,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(14862,plain,
( sum(sum(pred(esk13_0),n4),sum(n2,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14860,221,theory(equality)]),210,theory(equality)]) ).
cnf(14867,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14848,14852,theory(equality)]) ).
cnf(14868,plain,
( n3 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14867,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(14871,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14861,14868,theory(equality)]) ).
cnf(14874,plain,
( n1 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14871,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14875,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n1),succ(n1))) = esk18_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,14874,theory(equality)]) ).
cnf(14876,plain,
( sum(sum(pred(esk15_0),succ(n1)),sum(pred(n1),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,14874,theory(equality)]) ).
cnf(14877,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n2) = esk18_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14875,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(14878,plain,
( sum(sum(pred(esk15_0),n2),sum(n0,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14876,223,theory(equality)]),212,theory(equality)]) ).
cnf(14883,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14862,14868,theory(equality)]) ).
cnf(14884,plain,
( n1 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14883,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(14887,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14877,14884,theory(equality)]) ).
cnf(14890,plain,
( n4 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14887,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14891,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n4),succ(n4))) = esk20_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,14890,theory(equality)]) ).
cnf(14892,plain,
( sum(sum(pred(esk17_0),succ(n4)),sum(pred(n4),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,14890,theory(equality)]) ).
cnf(14893,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n8) = esk20_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14891,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(14894,plain,
( sum(sum(pred(esk17_0),n5),sum(n3,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14892,220,theory(equality)]),209,theory(equality)]) ).
cnf(14899,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14878,14884,theory(equality)]) ).
cnf(14900,plain,
( n4 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14899,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14903,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14893,14900,theory(equality)]) ).
cnf(14906,plain,
( n5 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14903,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(14907,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n5),succ(n5))) = esk22_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,14906,theory(equality)]) ).
cnf(14908,plain,
( sum(sum(pred(esk19_0),succ(n5)),sum(pred(n5),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,14906,theory(equality)]) ).
cnf(14909,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n10) = esk22_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14907,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(14910,plain,
( sum(sum(pred(esk19_0),n6),sum(n4,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14908,219,theory(equality)]),208,theory(equality)]) ).
cnf(14915,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14894,14900,theory(equality)]) ).
cnf(14916,plain,
( n5 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14915,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(14919,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14909,14916,theory(equality)]) ).
cnf(14922,plain,
( n9 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14919,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14927,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(spm,[status(thm)],[14910,14916,theory(equality)]) ).
cnf(14928,plain,
( n9 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14927,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(14929,plain,
( esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n9 != esk22_0 ),
inference(spm,[status(thm)],[59,14928,theory(equality)]) ).
cnf(14932,plain,
( esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[14929,14922]) ).
cnf(14933,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n5 != esk20_0 ),
inference(spm,[status(thm)],[14932,14916,theory(equality)]) ).
cnf(14934,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[14933,14906]) ).
cnf(14935,plain,
( esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n4 != esk18_0 ),
inference(spm,[status(thm)],[14934,14900,theory(equality)]) ).
cnf(14936,plain,
( esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[14935,14890]) ).
cnf(14937,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n1 != esk16_0 ),
inference(spm,[status(thm)],[14936,14884,theory(equality)]) ).
cnf(14938,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[14937,14874]) ).
cnf(14939,plain,
( esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n3 != esk14_0 ),
inference(spm,[status(thm)],[14938,14868,theory(equality)]) ).
cnf(14940,plain,
( esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[14939,14858]) ).
cnf(14941,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n9 != esk12_0 ),
inference(spm,[status(thm)],[14940,14852,theory(equality)]) ).
cnf(14942,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[14941,14842]) ).
cnf(14943,plain,
( esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n5 != esk10_0 ),
inference(spm,[status(thm)],[14942,14836,theory(equality)]) ).
cnf(14944,plain,
( esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[14943,14828]) ).
cnf(14945,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n4 != esk8_0 ),
inference(spm,[status(thm)],[14944,14820,theory(equality)]) ).
cnf(14946,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[14945,14810]) ).
cnf(14947,plain,
( esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n1 != esk6_0 ),
inference(spm,[status(thm)],[14946,14804,theory(equality)]) ).
cnf(14948,plain,
( esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[14947,14790]) ).
cnf(14949,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| n3 != esk4_0 ),
inference(spm,[status(thm)],[14948,14774,theory(equality)]) ).
cnf(14950,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(csr,[status(thm)],[14949,14773]) ).
cnf(14953,plain,
( sum(n10,sum(pred(n1),succ(n1))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[13078,14950,theory(equality)]) ).
cnf(14954,plain,
( sum(sum(n4,succ(n1)),sum(pred(n1),n6)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[13079,14950,theory(equality)]) ).
cnf(14957,plain,
( n1 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14953,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),90,theory(equality)]) ).
cnf(14958,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14954,223,theory(equality)]),156,theory(equality)]),212,theory(equality)]),196,theory(equality)]),130,theory(equality)]) ).
cnf(14959,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n1),succ(n1))) = esk6_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,14957,theory(equality)]) ).
cnf(14960,plain,
( sum(sum(pred(esk3_0),succ(n1)),sum(pred(n1),succ(esk3_0))) = esk5_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,14957,theory(equality)]) ).
cnf(14961,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n2) = esk6_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14959,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(14962,plain,
( sum(sum(pred(esk3_0),n2),sum(n0,succ(esk3_0))) = esk5_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14960,223,theory(equality)]),212,theory(equality)]) ).
cnf(14979,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[14961,14958,theory(equality)]) ).
cnf(14980,plain,
( n4 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14979,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14981,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n4),succ(n4))) = esk8_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,14980,theory(equality)]) ).
cnf(14982,plain,
( sum(sum(pred(esk5_0),succ(n4)),sum(pred(n4),succ(esk5_0))) = esk7_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,14980,theory(equality)]) ).
cnf(14983,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n8) = esk8_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14981,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(14984,plain,
( sum(sum(pred(esk5_0),n5),sum(n3,succ(esk5_0))) = esk7_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14982,220,theory(equality)]),209,theory(equality)]) ).
cnf(14987,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[14962,14958,theory(equality)]) ).
cnf(14988,plain,
( n4 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14987,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(14991,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[14983,14988,theory(equality)]) ).
cnf(14994,plain,
( n5 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14991,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(14997,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n5),succ(n5))) = esk10_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,14994,theory(equality)]) ).
cnf(14998,plain,
( sum(sum(pred(esk7_0),succ(n5)),sum(pred(n5),succ(esk7_0))) = esk9_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,14994,theory(equality)]) ).
cnf(14999,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n10) = esk10_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14997,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(15000,plain,
( sum(sum(pred(esk7_0),n6),sum(n4,succ(esk7_0))) = esk9_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[14998,219,theory(equality)]),208,theory(equality)]) ).
cnf(15003,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[14984,14988,theory(equality)]) ).
cnf(15004,plain,
( n5 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15003,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(15007,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[14999,15004,theory(equality)]) ).
cnf(15010,plain,
( n9 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15007,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(15011,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n9),succ(n9))) = esk12_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,15010,theory(equality)]) ).
cnf(15012,plain,
( sum(sum(pred(esk9_0),succ(n9)),sum(pred(n9),succ(esk9_0))) = esk11_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,15010,theory(equality)]) ).
cnf(15013,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n7) = esk12_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15011,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(15014,plain,
( sum(sum(pred(esk9_0),n10),sum(n8,succ(esk9_0))) = esk11_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15012,215,theory(equality)]),204,theory(equality)]) ).
cnf(15019,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15000,15004,theory(equality)]) ).
cnf(15020,plain,
( n9 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15019,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(15023,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15013,15020,theory(equality)]) ).
cnf(15026,plain,
( n3 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15023,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(15027,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n3),succ(n3))) = esk14_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,15026,theory(equality)]) ).
cnf(15028,plain,
( sum(sum(pred(esk11_0),succ(n3)),sum(pred(n3),succ(esk11_0))) = esk13_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,15026,theory(equality)]) ).
cnf(15029,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n6) = esk14_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15027,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(15030,plain,
( sum(sum(pred(esk11_0),n4),sum(n2,succ(esk11_0))) = esk13_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15028,221,theory(equality)]),210,theory(equality)]) ).
cnf(15035,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15014,15020,theory(equality)]) ).
cnf(15036,plain,
( n3 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15035,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(15039,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15029,15036,theory(equality)]) ).
cnf(15042,plain,
( n1 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15039,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(15043,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n1),succ(n1))) = esk16_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,15042,theory(equality)]) ).
cnf(15044,plain,
( sum(sum(pred(esk13_0),succ(n1)),sum(pred(n1),succ(esk13_0))) = esk15_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,15042,theory(equality)]) ).
cnf(15045,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n2) = esk16_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15043,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(15046,plain,
( sum(sum(pred(esk13_0),n2),sum(n0,succ(esk13_0))) = esk15_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15044,223,theory(equality)]),212,theory(equality)]) ).
cnf(15051,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15030,15036,theory(equality)]) ).
cnf(15052,plain,
( n1 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15051,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(15055,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15045,15052,theory(equality)]) ).
cnf(15058,plain,
( n4 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15055,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(15059,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n4),succ(n4))) = esk18_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,15058,theory(equality)]) ).
cnf(15060,plain,
( sum(sum(pred(esk15_0),succ(n4)),sum(pred(n4),succ(esk15_0))) = esk17_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,15058,theory(equality)]) ).
cnf(15061,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n8) = esk18_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15059,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(15062,plain,
( sum(sum(pred(esk15_0),n5),sum(n3,succ(esk15_0))) = esk17_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15060,220,theory(equality)]),209,theory(equality)]) ).
cnf(15067,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15046,15052,theory(equality)]) ).
cnf(15068,plain,
( n4 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15067,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(15071,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15061,15068,theory(equality)]) ).
cnf(15074,plain,
( n5 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15071,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(15075,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n5),succ(n5))) = esk20_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,15074,theory(equality)]) ).
cnf(15076,plain,
( sum(sum(pred(esk17_0),succ(n5)),sum(pred(n5),succ(esk17_0))) = esk19_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,15074,theory(equality)]) ).
cnf(15077,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n10) = esk20_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15075,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(15078,plain,
( sum(sum(pred(esk17_0),n6),sum(n4,succ(esk17_0))) = esk19_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15076,219,theory(equality)]),208,theory(equality)]) ).
cnf(15083,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15062,15068,theory(equality)]) ).
cnf(15084,plain,
( n5 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15083,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(15087,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15077,15084,theory(equality)]) ).
cnf(15090,plain,
( n9 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15087,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(15091,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n9),succ(n9))) = esk22_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,15090,theory(equality)]) ).
cnf(15092,plain,
( sum(sum(pred(esk19_0),succ(n9)),sum(pred(n9),succ(esk19_0))) = esk21_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,15090,theory(equality)]) ).
cnf(15093,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n7) = esk22_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15091,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(15094,plain,
( sum(sum(pred(esk19_0),n10),sum(n8,succ(esk19_0))) = esk21_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15092,215,theory(equality)]),204,theory(equality)]) ).
cnf(15099,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15078,15084,theory(equality)]) ).
cnf(15100,plain,
( n9 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15099,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(15103,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15093,15100,theory(equality)]) ).
cnf(15106,plain,
( n3 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15103,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(15111,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[15094,15100,theory(equality)]) ).
cnf(15112,plain,
( n3 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15111,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(15113,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n3 != esk22_0 ),
inference(spm,[status(thm)],[59,15112,theory(equality)]) ).
cnf(15116,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[15113,15106]) ).
cnf(15117,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n9 != esk20_0 ),
inference(spm,[status(thm)],[15116,15100,theory(equality)]) ).
cnf(15118,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[15117,15090]) ).
cnf(15119,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n5 != esk18_0 ),
inference(spm,[status(thm)],[15118,15084,theory(equality)]) ).
cnf(15120,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[15119,15074]) ).
cnf(15121,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n4 != esk16_0 ),
inference(spm,[status(thm)],[15120,15068,theory(equality)]) ).
cnf(15122,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[15121,15058]) ).
cnf(15123,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n1 != esk14_0 ),
inference(spm,[status(thm)],[15122,15052,theory(equality)]) ).
cnf(15124,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[15123,15042]) ).
cnf(15125,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n3 != esk12_0 ),
inference(spm,[status(thm)],[15124,15036,theory(equality)]) ).
cnf(15126,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[15125,15026]) ).
cnf(15127,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n9 != esk10_0 ),
inference(spm,[status(thm)],[15126,15020,theory(equality)]) ).
cnf(15128,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[15127,15010]) ).
cnf(15129,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n5 != esk8_0 ),
inference(spm,[status(thm)],[15128,15004,theory(equality)]) ).
cnf(15130,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[15129,14994]) ).
cnf(15131,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n4 != esk6_0 ),
inference(spm,[status(thm)],[15130,14988,theory(equality)]) ).
cnf(15132,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[15131,14980]) ).
cnf(15133,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| n1 != esk4_0 ),
inference(spm,[status(thm)],[15132,14958,theory(equality)]) ).
cnf(15134,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(csr,[status(thm)],[15133,14957]) ).
cnf(15138,plain,
( sum(sum(pred(n4),succ(n4)),sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[78,15134,theory(equality)]) ).
cnf(15139,plain,
( sum(sum(pred(n4),succ(esk2_0)),sum(pred(esk2_0),succ(n4))) = esk3_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[79,15134,theory(equality)]) ).
cnf(15140,plain,
( sum(sum(pred(n4),succ(n4)),n0) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[248,15134,theory(equality)]) ).
cnf(15141,plain,
( sum(sum(pred(n4),n1),sum(n10,succ(n4))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[252,15134,theory(equality)]) ).
cnf(15142,plain,
( sum(n8,sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15138,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(15143,plain,
( sum(sum(n3,succ(esk2_0)),sum(pred(esk2_0),n5)) = esk3_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15139,209,theory(equality)]),220,theory(equality)]) ).
cnf(15144,plain,
( n8 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15140,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),114,theory(equality)]) ).
cnf(15145,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15141,209,theory(equality)]),168,theory(equality)]),220,theory(equality)]),87,theory(equality)]),154,theory(equality)]) ).
cnf(15148,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n8),succ(n8))) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,15144,theory(equality)]) ).
cnf(15149,plain,
( sum(sum(pred(esk3_0),succ(n8)),sum(pred(n8),succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,15144,theory(equality)]) ).
cnf(15150,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n5) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15148,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(15151,plain,
( sum(sum(pred(esk3_0),n9),sum(n7,succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15149,216,theory(equality)]),205,theory(equality)]) ).
cnf(15158,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15150,15145,theory(equality)]) ).
cnf(15159,plain,
( n10 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15158,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15160,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n10),succ(n10))) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,15159,theory(equality)]) ).
cnf(15161,plain,
( sum(sum(pred(esk5_0),succ(n10)),sum(pred(n10),succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,15159,theory(equality)]) ).
cnf(15162,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n9) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15160,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(15163,plain,
( sum(sum(pred(esk5_0),n0),sum(n9,succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15161,214,theory(equality)]),203,theory(equality)]) ).
cnf(15166,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15151,15145,theory(equality)]) ).
cnf(15167,plain,
( n10 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15166,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15172,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15162,15167,theory(equality)]) ).
cnf(15175,plain,
( n7 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15172,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15176,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n7),succ(n7))) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,15175,theory(equality)]) ).
cnf(15177,plain,
( sum(sum(pred(esk7_0),succ(n7)),sum(pred(n7),succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,15175,theory(equality)]) ).
cnf(15178,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n3) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15176,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(15179,plain,
( sum(sum(pred(esk7_0),n8),sum(n6,succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15177,217,theory(equality)]),206,theory(equality)]) ).
cnf(15182,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15163,15167,theory(equality)]) ).
cnf(15183,plain,
( n7 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15182,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15186,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15178,15183,theory(equality)]) ).
cnf(15189,plain,
( n6 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15186,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(15192,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n6),succ(n6))) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,15189,theory(equality)]) ).
cnf(15193,plain,
( sum(sum(pred(esk9_0),succ(n6)),sum(pred(n6),succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,15189,theory(equality)]) ).
cnf(15194,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n1) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15192,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(15195,plain,
( sum(sum(pred(esk9_0),n7),sum(n5,succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15193,218,theory(equality)]),207,theory(equality)]) ).
cnf(15198,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15179,15183,theory(equality)]) ).
cnf(15199,plain,
( n6 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15198,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(15202,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15194,15199,theory(equality)]) ).
cnf(15205,plain,
( n2 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15202,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(15206,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n2),succ(n2))) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,15205,theory(equality)]) ).
cnf(15207,plain,
( sum(sum(pred(esk11_0),succ(n2)),sum(pred(n2),succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,15205,theory(equality)]) ).
cnf(15208,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n4) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15206,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(15209,plain,
( sum(sum(pred(esk11_0),n3),sum(n1,succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15207,222,theory(equality)]),211,theory(equality)]) ).
cnf(15214,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15195,15199,theory(equality)]) ).
cnf(15215,plain,
( n2 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15214,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(15218,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15208,15215,theory(equality)]) ).
cnf(15221,plain,
( n8 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15218,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(15222,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n8),succ(n8))) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,15221,theory(equality)]) ).
cnf(15223,plain,
( sum(sum(pred(esk13_0),succ(n8)),sum(pred(n8),succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,15221,theory(equality)]) ).
cnf(15224,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n5) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15222,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(15225,plain,
( sum(sum(pred(esk13_0),n9),sum(n7,succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15223,216,theory(equality)]),205,theory(equality)]) ).
cnf(15230,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15209,15215,theory(equality)]) ).
cnf(15231,plain,
( n8 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15230,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(15234,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15224,15231,theory(equality)]) ).
cnf(15237,plain,
( n10 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15234,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15238,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n10),succ(n10))) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,15237,theory(equality)]) ).
cnf(15239,plain,
( sum(sum(pred(esk15_0),succ(n10)),sum(pred(n10),succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,15237,theory(equality)]) ).
cnf(15240,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n9) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15238,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(15241,plain,
( sum(sum(pred(esk15_0),n0),sum(n9,succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15239,214,theory(equality)]),203,theory(equality)]) ).
cnf(15246,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15225,15231,theory(equality)]) ).
cnf(15247,plain,
( n10 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15246,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15250,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15240,15247,theory(equality)]) ).
cnf(15253,plain,
( n7 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15250,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15254,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n7),succ(n7))) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,15253,theory(equality)]) ).
cnf(15255,plain,
( sum(sum(pred(esk17_0),succ(n7)),sum(pred(n7),succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,15253,theory(equality)]) ).
cnf(15256,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n3) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15254,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(15257,plain,
( sum(sum(pred(esk17_0),n8),sum(n6,succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15255,217,theory(equality)]),206,theory(equality)]) ).
cnf(15262,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15241,15247,theory(equality)]) ).
cnf(15263,plain,
( n7 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15262,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15266,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15256,15263,theory(equality)]) ).
cnf(15269,plain,
( n6 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15266,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(15270,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n6),succ(n6))) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,15269,theory(equality)]) ).
cnf(15271,plain,
( sum(sum(pred(esk19_0),succ(n6)),sum(pred(n6),succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,15269,theory(equality)]) ).
cnf(15272,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n1) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15270,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(15273,plain,
( sum(sum(pred(esk19_0),n7),sum(n5,succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15271,218,theory(equality)]),207,theory(equality)]) ).
cnf(15278,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15257,15263,theory(equality)]) ).
cnf(15279,plain,
( n6 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15278,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(15282,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15272,15279,theory(equality)]) ).
cnf(15285,plain,
( n2 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15282,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(15290,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[15273,15279,theory(equality)]) ).
cnf(15291,plain,
( n2 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15290,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(15294,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n2 != esk22_0 ),
inference(spm,[status(thm)],[59,15291,theory(equality)]) ).
cnf(15295,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[15294,15285]) ).
cnf(15296,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n6 != esk20_0 ),
inference(spm,[status(thm)],[15295,15279,theory(equality)]) ).
cnf(15297,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[15296,15269]) ).
cnf(15298,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n7 != esk18_0 ),
inference(spm,[status(thm)],[15297,15263,theory(equality)]) ).
cnf(15299,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[15298,15253]) ).
cnf(15300,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n10 != esk16_0 ),
inference(spm,[status(thm)],[15299,15247,theory(equality)]) ).
cnf(15301,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[15300,15237]) ).
cnf(15302,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n8 != esk14_0 ),
inference(spm,[status(thm)],[15301,15231,theory(equality)]) ).
cnf(15303,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[15302,15221]) ).
cnf(15304,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n2 != esk12_0 ),
inference(spm,[status(thm)],[15303,15215,theory(equality)]) ).
cnf(15305,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[15304,15205]) ).
cnf(15306,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n6 != esk10_0 ),
inference(spm,[status(thm)],[15305,15199,theory(equality)]) ).
cnf(15307,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[15306,15189]) ).
cnf(15308,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n7 != esk8_0 ),
inference(spm,[status(thm)],[15307,15183,theory(equality)]) ).
cnf(15309,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[15308,15175]) ).
cnf(15310,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n10 != esk6_0 ),
inference(spm,[status(thm)],[15309,15167,theory(equality)]) ).
cnf(15311,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[15310,15159]) ).
cnf(15312,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n8 != esk4_0 ),
inference(spm,[status(thm)],[15311,15145,theory(equality)]) ).
cnf(15313,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(csr,[status(thm)],[15312,15144]) ).
cnf(15325,plain,
( sum(n8,sum(pred(n10),succ(n10))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15142,15313,theory(equality)]) ).
cnf(15326,plain,
( sum(sum(n3,succ(n10)),sum(pred(n10),n5)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15143,15313,theory(equality)]) ).
cnf(15329,plain,
( n6 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15325,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),105,theory(equality)]) ).
cnf(15330,plain,
( n6 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15326,214,theory(equality)]),169,theory(equality)]),203,theory(equality)]),98,theory(equality)]),166,theory(equality)]) ).
cnf(15331,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n6),succ(n6))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,15329,theory(equality)]) ).
cnf(15332,plain,
( sum(sum(pred(esk3_0),succ(n6)),sum(pred(n6),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,15329,theory(equality)]) ).
cnf(15333,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n1) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15331,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(15334,plain,
( sum(sum(pred(esk3_0),n7),sum(n5,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15332,218,theory(equality)]),207,theory(equality)]) ).
cnf(15344,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15333,15330,theory(equality)]) ).
cnf(15345,plain,
( n2 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15344,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(15351,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n2),succ(n2))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,15345,theory(equality)]) ).
cnf(15352,plain,
( sum(sum(pred(esk5_0),succ(n2)),sum(pred(n2),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,15345,theory(equality)]) ).
cnf(15353,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n4) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15351,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(15354,plain,
( sum(sum(pred(esk5_0),n3),sum(n1,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15352,222,theory(equality)]),211,theory(equality)]) ).
cnf(15357,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15334,15330,theory(equality)]) ).
cnf(15358,plain,
( n2 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15357,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(15361,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15353,15358,theory(equality)]) ).
cnf(15364,plain,
( n8 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15361,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(15365,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n8),succ(n8))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,15364,theory(equality)]) ).
cnf(15366,plain,
( sum(sum(pred(esk7_0),succ(n8)),sum(pred(n8),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,15364,theory(equality)]) ).
cnf(15367,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n5) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15365,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(15368,plain,
( sum(sum(pred(esk7_0),n9),sum(n7,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15366,216,theory(equality)]),205,theory(equality)]) ).
cnf(15373,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15354,15358,theory(equality)]) ).
cnf(15374,plain,
( n8 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15373,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(15377,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15367,15374,theory(equality)]) ).
cnf(15380,plain,
( n10 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15377,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15381,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n10),succ(n10))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,15380,theory(equality)]) ).
cnf(15382,plain,
( sum(sum(pred(esk9_0),succ(n10)),sum(pred(n10),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,15380,theory(equality)]) ).
cnf(15383,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n9) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15381,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(15384,plain,
( sum(sum(pred(esk9_0),n0),sum(n9,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15382,214,theory(equality)]),203,theory(equality)]) ).
cnf(15389,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15368,15374,theory(equality)]) ).
cnf(15390,plain,
( n10 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15389,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15393,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15383,15390,theory(equality)]) ).
cnf(15396,plain,
( n7 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15393,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15397,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n7),succ(n7))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,15396,theory(equality)]) ).
cnf(15398,plain,
( sum(sum(pred(esk11_0),succ(n7)),sum(pred(n7),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,15396,theory(equality)]) ).
cnf(15399,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n3) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15397,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(15400,plain,
( sum(sum(pred(esk11_0),n8),sum(n6,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15398,217,theory(equality)]),206,theory(equality)]) ).
cnf(15405,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15384,15390,theory(equality)]) ).
cnf(15406,plain,
( n7 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15405,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15409,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15399,15406,theory(equality)]) ).
cnf(15412,plain,
( n6 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15409,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(15413,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n6),succ(n6))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,15412,theory(equality)]) ).
cnf(15414,plain,
( sum(sum(pred(esk13_0),succ(n6)),sum(pred(n6),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,15412,theory(equality)]) ).
cnf(15415,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n1) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15413,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(15416,plain,
( sum(sum(pred(esk13_0),n7),sum(n5,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15414,218,theory(equality)]),207,theory(equality)]) ).
cnf(15421,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15400,15406,theory(equality)]) ).
cnf(15422,plain,
( n6 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15421,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(15425,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15415,15422,theory(equality)]) ).
cnf(15428,plain,
( n2 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15425,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(15429,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n2),succ(n2))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,15428,theory(equality)]) ).
cnf(15430,plain,
( sum(sum(pred(esk15_0),succ(n2)),sum(pred(n2),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,15428,theory(equality)]) ).
cnf(15431,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n4) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15429,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(15432,plain,
( sum(sum(pred(esk15_0),n3),sum(n1,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15430,222,theory(equality)]),211,theory(equality)]) ).
cnf(15437,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15416,15422,theory(equality)]) ).
cnf(15438,plain,
( n2 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15437,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(15441,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15431,15438,theory(equality)]) ).
cnf(15444,plain,
( n8 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15441,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(15445,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n8),succ(n8))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,15444,theory(equality)]) ).
cnf(15446,plain,
( sum(sum(pred(esk17_0),succ(n8)),sum(pred(n8),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,15444,theory(equality)]) ).
cnf(15447,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n5) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15445,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(15448,plain,
( sum(sum(pred(esk17_0),n9),sum(n7,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15446,216,theory(equality)]),205,theory(equality)]) ).
cnf(15453,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15432,15438,theory(equality)]) ).
cnf(15454,plain,
( n8 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15453,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(15457,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15447,15454,theory(equality)]) ).
cnf(15460,plain,
( n10 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15457,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15461,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n10),succ(n10))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,15460,theory(equality)]) ).
cnf(15462,plain,
( sum(sum(pred(esk19_0),succ(n10)),sum(pred(n10),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,15460,theory(equality)]) ).
cnf(15463,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n9) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15461,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(15464,plain,
( sum(sum(pred(esk19_0),n0),sum(n9,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15462,214,theory(equality)]),203,theory(equality)]) ).
cnf(15469,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15448,15454,theory(equality)]) ).
cnf(15470,plain,
( n10 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15469,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15475,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15463,15470,theory(equality)]) ).
cnf(15478,plain,
( n7 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15475,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15481,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15464,15470,theory(equality)]) ).
cnf(15482,plain,
( n7 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15481,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15483,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n7 != esk22_0 ),
inference(spm,[status(thm)],[59,15482,theory(equality)]) ).
cnf(15486,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[15483,15478]) ).
cnf(15487,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n10 != esk20_0 ),
inference(spm,[status(thm)],[15486,15470,theory(equality)]) ).
cnf(15488,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[15487,15460]) ).
cnf(15489,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n8 != esk18_0 ),
inference(spm,[status(thm)],[15488,15454,theory(equality)]) ).
cnf(15490,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[15489,15444]) ).
cnf(15491,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n2 != esk16_0 ),
inference(spm,[status(thm)],[15490,15438,theory(equality)]) ).
cnf(15492,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[15491,15428]) ).
cnf(15493,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n6 != esk14_0 ),
inference(spm,[status(thm)],[15492,15422,theory(equality)]) ).
cnf(15494,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[15493,15412]) ).
cnf(15495,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n7 != esk12_0 ),
inference(spm,[status(thm)],[15494,15406,theory(equality)]) ).
cnf(15496,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[15495,15396]) ).
cnf(15497,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n10 != esk10_0 ),
inference(spm,[status(thm)],[15496,15390,theory(equality)]) ).
cnf(15498,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[15497,15380]) ).
cnf(15499,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n8 != esk8_0 ),
inference(spm,[status(thm)],[15498,15374,theory(equality)]) ).
cnf(15500,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[15499,15364]) ).
cnf(15501,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n2 != esk6_0 ),
inference(spm,[status(thm)],[15500,15358,theory(equality)]) ).
cnf(15502,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[15501,15345]) ).
cnf(15503,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != esk4_0 ),
inference(spm,[status(thm)],[15502,15330,theory(equality)]) ).
cnf(15504,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[15503,15329]) ).
cnf(15515,plain,
( sum(n8,sum(pred(n9),succ(n9))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15142,15504,theory(equality)]) ).
cnf(15516,plain,
( sum(sum(n3,succ(n9)),sum(pred(n9),n5)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15143,15504,theory(equality)]) ).
cnf(15519,plain,
( n4 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15515,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),107,theory(equality)]) ).
cnf(15520,plain,
( n4 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15516,215,theory(equality)]),159,theory(equality)]),204,theory(equality)]),109,theory(equality)]),178,theory(equality)]) ).
cnf(15521,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n4),succ(n4))) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,15519,theory(equality)]) ).
cnf(15522,plain,
( sum(sum(pred(esk3_0),succ(n4)),sum(pred(n4),succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,15519,theory(equality)]) ).
cnf(15523,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n8) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15521,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(15524,plain,
( sum(sum(pred(esk3_0),n5),sum(n3,succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15522,220,theory(equality)]),209,theory(equality)]) ).
cnf(15534,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15523,15520,theory(equality)]) ).
cnf(15535,plain,
( n5 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15534,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(15536,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n5),succ(n5))) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,15535,theory(equality)]) ).
cnf(15537,plain,
( sum(sum(pred(esk5_0),succ(n5)),sum(pred(n5),succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,15535,theory(equality)]) ).
cnf(15538,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n10) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15536,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(15539,plain,
( sum(sum(pred(esk5_0),n6),sum(n4,succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15537,219,theory(equality)]),208,theory(equality)]) ).
cnf(15547,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15524,15520,theory(equality)]) ).
cnf(15548,plain,
( n5 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15547,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(15551,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15538,15548,theory(equality)]) ).
cnf(15554,plain,
( n9 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15551,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(15555,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n9),succ(n9))) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,15554,theory(equality)]) ).
cnf(15556,plain,
( sum(sum(pred(esk7_0),succ(n9)),sum(pred(n9),succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,15554,theory(equality)]) ).
cnf(15557,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n7) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15555,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(15558,plain,
( sum(sum(pred(esk7_0),n10),sum(n8,succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15556,215,theory(equality)]),204,theory(equality)]) ).
cnf(15563,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15539,15548,theory(equality)]) ).
cnf(15564,plain,
( n9 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15563,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(15567,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15557,15564,theory(equality)]) ).
cnf(15570,plain,
( n3 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15567,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(15571,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n3),succ(n3))) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,15570,theory(equality)]) ).
cnf(15572,plain,
( sum(sum(pred(esk9_0),succ(n3)),sum(pred(n3),succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,15570,theory(equality)]) ).
cnf(15573,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n6) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15571,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(15574,plain,
( sum(sum(pred(esk9_0),n4),sum(n2,succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15572,221,theory(equality)]),210,theory(equality)]) ).
cnf(15579,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15558,15564,theory(equality)]) ).
cnf(15580,plain,
( n3 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15579,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(15583,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15573,15580,theory(equality)]) ).
cnf(15586,plain,
( n1 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15583,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(15587,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n1),succ(n1))) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,15586,theory(equality)]) ).
cnf(15588,plain,
( sum(sum(pred(esk11_0),succ(n1)),sum(pred(n1),succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,15586,theory(equality)]) ).
cnf(15589,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n2) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15587,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(15590,plain,
( sum(sum(pred(esk11_0),n2),sum(n0,succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15588,223,theory(equality)]),212,theory(equality)]) ).
cnf(15595,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15574,15580,theory(equality)]) ).
cnf(15596,plain,
( n1 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15595,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(15599,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15589,15596,theory(equality)]) ).
cnf(15602,plain,
( n4 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15599,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(15603,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n4),succ(n4))) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,15602,theory(equality)]) ).
cnf(15604,plain,
( sum(sum(pred(esk13_0),succ(n4)),sum(pred(n4),succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,15602,theory(equality)]) ).
cnf(15605,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n8) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15603,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(15606,plain,
( sum(sum(pred(esk13_0),n5),sum(n3,succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15604,220,theory(equality)]),209,theory(equality)]) ).
cnf(15611,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15590,15596,theory(equality)]) ).
cnf(15612,plain,
( n4 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15611,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(15617,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15605,15612,theory(equality)]) ).
cnf(15620,plain,
( n5 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15617,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(15621,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n5),succ(n5))) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,15620,theory(equality)]) ).
cnf(15622,plain,
( sum(sum(pred(esk15_0),succ(n5)),sum(pred(n5),succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,15620,theory(equality)]) ).
cnf(15623,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n10) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15621,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(15624,plain,
( sum(sum(pred(esk15_0),n6),sum(n4,succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15622,219,theory(equality)]),208,theory(equality)]) ).
cnf(15627,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15606,15612,theory(equality)]) ).
cnf(15628,plain,
( n5 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15627,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(15631,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15623,15628,theory(equality)]) ).
cnf(15634,plain,
( n9 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15631,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(15637,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n9),succ(n9))) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,15634,theory(equality)]) ).
cnf(15638,plain,
( sum(sum(pred(esk17_0),succ(n9)),sum(pred(n9),succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,15634,theory(equality)]) ).
cnf(15639,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n7) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15637,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(15640,plain,
( sum(sum(pred(esk17_0),n10),sum(n8,succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15638,215,theory(equality)]),204,theory(equality)]) ).
cnf(15643,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15624,15628,theory(equality)]) ).
cnf(15644,plain,
( n9 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15643,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(15647,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15639,15644,theory(equality)]) ).
cnf(15650,plain,
( n3 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15647,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(15651,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n3),succ(n3))) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,15650,theory(equality)]) ).
cnf(15652,plain,
( sum(sum(pred(esk19_0),succ(n3)),sum(pred(n3),succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,15650,theory(equality)]) ).
cnf(15653,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n6) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15651,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(15654,plain,
( sum(sum(pred(esk19_0),n4),sum(n2,succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15652,221,theory(equality)]),210,theory(equality)]) ).
cnf(15659,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15640,15644,theory(equality)]) ).
cnf(15660,plain,
( n3 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15659,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(15663,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15653,15660,theory(equality)]) ).
cnf(15666,plain,
( n1 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15663,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(15671,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[15654,15660,theory(equality)]) ).
cnf(15672,plain,
( n1 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15671,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(15673,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n1 != esk22_0 ),
inference(spm,[status(thm)],[59,15672,theory(equality)]) ).
cnf(15674,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[15673,15666]) ).
cnf(15675,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n3 != esk20_0 ),
inference(spm,[status(thm)],[15674,15660,theory(equality)]) ).
cnf(15676,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[15675,15650]) ).
cnf(15677,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n9 != esk18_0 ),
inference(spm,[status(thm)],[15676,15644,theory(equality)]) ).
cnf(15678,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[15677,15634]) ).
cnf(15679,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n5 != esk16_0 ),
inference(spm,[status(thm)],[15678,15628,theory(equality)]) ).
cnf(15682,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[15679,15620]) ).
cnf(15683,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n4 != esk14_0 ),
inference(spm,[status(thm)],[15682,15612,theory(equality)]) ).
cnf(15684,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[15683,15602]) ).
cnf(15685,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n1 != esk12_0 ),
inference(spm,[status(thm)],[15684,15596,theory(equality)]) ).
cnf(15686,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[15685,15586]) ).
cnf(15687,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n3 != esk10_0 ),
inference(spm,[status(thm)],[15686,15580,theory(equality)]) ).
cnf(15688,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[15687,15570]) ).
cnf(15689,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n9 != esk8_0 ),
inference(spm,[status(thm)],[15688,15564,theory(equality)]) ).
cnf(15690,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[15689,15554]) ).
cnf(15691,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n5 != esk6_0 ),
inference(spm,[status(thm)],[15690,15548,theory(equality)]) ).
cnf(15692,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[15691,15535]) ).
cnf(15693,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n4 != esk4_0 ),
inference(spm,[status(thm)],[15692,15520,theory(equality)]) ).
cnf(15694,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(csr,[status(thm)],[15693,15519]) ).
cnf(15704,plain,
( sum(n8,sum(pred(n8),succ(n8))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15142,15694,theory(equality)]) ).
cnf(15705,plain,
( sum(sum(n3,succ(n8)),sum(pred(n8),n5)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15143,15694,theory(equality)]) ).
cnf(15708,plain,
( n2 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15704,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),109,theory(equality)]) ).
cnf(15709,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15705,216,theory(equality)]),160,theory(equality)]),205,theory(equality)]),120,theory(equality)]),190,theory(equality)]) ).
cnf(15710,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n2),succ(n2))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,15708,theory(equality)]) ).
cnf(15711,plain,
( sum(sum(pred(esk3_0),succ(n2)),sum(pred(n2),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,15708,theory(equality)]) ).
cnf(15712,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n4) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15710,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(15713,plain,
( sum(sum(pred(esk3_0),n3),sum(n1,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15711,222,theory(equality)]),211,theory(equality)]) ).
cnf(15728,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15712,15709,theory(equality)]) ).
cnf(15729,plain,
( n8 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15728,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(15730,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n8),succ(n8))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,15729,theory(equality)]) ).
cnf(15731,plain,
( sum(sum(pred(esk5_0),succ(n8)),sum(pred(n8),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,15729,theory(equality)]) ).
cnf(15732,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n5) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15730,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(15733,plain,
( sum(sum(pred(esk5_0),n9),sum(n7,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15731,216,theory(equality)]),205,theory(equality)]) ).
cnf(15736,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15713,15709,theory(equality)]) ).
cnf(15737,plain,
( n8 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15736,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(15742,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15732,15737,theory(equality)]) ).
cnf(15745,plain,
( n10 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15742,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15746,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n10),succ(n10))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,15745,theory(equality)]) ).
cnf(15747,plain,
( sum(sum(pred(esk7_0),succ(n10)),sum(pred(n10),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,15745,theory(equality)]) ).
cnf(15748,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n9) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15746,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(15749,plain,
( sum(sum(pred(esk7_0),n0),sum(n9,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15747,214,theory(equality)]),203,theory(equality)]) ).
cnf(15752,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15733,15737,theory(equality)]) ).
cnf(15753,plain,
( n10 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15752,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15756,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15748,15753,theory(equality)]) ).
cnf(15759,plain,
( n7 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15756,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15762,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n7),succ(n7))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,15759,theory(equality)]) ).
cnf(15763,plain,
( sum(sum(pred(esk9_0),succ(n7)),sum(pred(n7),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,15759,theory(equality)]) ).
cnf(15764,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n3) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15762,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(15765,plain,
( sum(sum(pred(esk9_0),n8),sum(n6,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15763,217,theory(equality)]),206,theory(equality)]) ).
cnf(15768,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15749,15753,theory(equality)]) ).
cnf(15769,plain,
( n7 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15768,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15772,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15764,15769,theory(equality)]) ).
cnf(15775,plain,
( n6 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15772,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(15776,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n6),succ(n6))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,15775,theory(equality)]) ).
cnf(15777,plain,
( sum(sum(pred(esk11_0),succ(n6)),sum(pred(n6),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,15775,theory(equality)]) ).
cnf(15778,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n1) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15776,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(15779,plain,
( sum(sum(pred(esk11_0),n7),sum(n5,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15777,218,theory(equality)]),207,theory(equality)]) ).
cnf(15784,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15765,15769,theory(equality)]) ).
cnf(15785,plain,
( n6 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15784,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(15788,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15778,15785,theory(equality)]) ).
cnf(15791,plain,
( n2 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15788,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(15792,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n2),succ(n2))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,15791,theory(equality)]) ).
cnf(15793,plain,
( sum(sum(pred(esk13_0),succ(n2)),sum(pred(n2),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,15791,theory(equality)]) ).
cnf(15794,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n4) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15792,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(15795,plain,
( sum(sum(pred(esk13_0),n3),sum(n1,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15793,222,theory(equality)]),211,theory(equality)]) ).
cnf(15800,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15779,15785,theory(equality)]) ).
cnf(15801,plain,
( n2 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15800,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(15804,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15794,15801,theory(equality)]) ).
cnf(15807,plain,
( n8 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15804,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(15808,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n8),succ(n8))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,15807,theory(equality)]) ).
cnf(15809,plain,
( sum(sum(pred(esk15_0),succ(n8)),sum(pred(n8),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,15807,theory(equality)]) ).
cnf(15810,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n5) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15808,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(15811,plain,
( sum(sum(pred(esk15_0),n9),sum(n7,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15809,216,theory(equality)]),205,theory(equality)]) ).
cnf(15816,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15795,15801,theory(equality)]) ).
cnf(15817,plain,
( n8 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15816,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(15820,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15810,15817,theory(equality)]) ).
cnf(15823,plain,
( n10 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15820,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15824,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n10),succ(n10))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,15823,theory(equality)]) ).
cnf(15825,plain,
( sum(sum(pred(esk17_0),succ(n10)),sum(pred(n10),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,15823,theory(equality)]) ).
cnf(15826,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n9) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15824,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(15827,plain,
( sum(sum(pred(esk17_0),n0),sum(n9,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15825,214,theory(equality)]),203,theory(equality)]) ).
cnf(15832,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15811,15817,theory(equality)]) ).
cnf(15833,plain,
( n10 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15832,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(15836,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15826,15833,theory(equality)]) ).
cnf(15839,plain,
( n7 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15836,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15840,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n7),succ(n7))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,15839,theory(equality)]) ).
cnf(15841,plain,
( sum(sum(pred(esk19_0),succ(n7)),sum(pred(n7),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,15839,theory(equality)]) ).
cnf(15842,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n3) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15840,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(15843,plain,
( sum(sum(pred(esk19_0),n8),sum(n6,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15841,217,theory(equality)]),206,theory(equality)]) ).
cnf(15848,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15827,15833,theory(equality)]) ).
cnf(15849,plain,
( n7 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15848,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(15852,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15842,15849,theory(equality)]) ).
cnf(15855,plain,
( n6 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15852,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(15860,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15843,15849,theory(equality)]) ).
cnf(15861,plain,
( n6 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15860,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(15864,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n6 != esk22_0 ),
inference(spm,[status(thm)],[59,15861,theory(equality)]) ).
cnf(15865,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[15864,15855]) ).
cnf(15866,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n7 != esk20_0 ),
inference(spm,[status(thm)],[15865,15849,theory(equality)]) ).
cnf(15867,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[15866,15839]) ).
cnf(15868,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n10 != esk18_0 ),
inference(spm,[status(thm)],[15867,15833,theory(equality)]) ).
cnf(15869,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[15868,15823]) ).
cnf(15870,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n8 != esk16_0 ),
inference(spm,[status(thm)],[15869,15817,theory(equality)]) ).
cnf(15871,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[15870,15807]) ).
cnf(15872,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n2 != esk14_0 ),
inference(spm,[status(thm)],[15871,15801,theory(equality)]) ).
cnf(15873,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[15872,15791]) ).
cnf(15874,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n6 != esk12_0 ),
inference(spm,[status(thm)],[15873,15785,theory(equality)]) ).
cnf(15875,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[15874,15775]) ).
cnf(15876,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n7 != esk10_0 ),
inference(spm,[status(thm)],[15875,15769,theory(equality)]) ).
cnf(15877,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[15876,15759]) ).
cnf(15878,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n10 != esk8_0 ),
inference(spm,[status(thm)],[15877,15753,theory(equality)]) ).
cnf(15879,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[15878,15745]) ).
cnf(15880,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n8 != esk6_0 ),
inference(spm,[status(thm)],[15879,15737,theory(equality)]) ).
cnf(15881,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[15880,15729]) ).
cnf(15882,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != esk4_0 ),
inference(spm,[status(thm)],[15881,15709,theory(equality)]) ).
cnf(15883,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[15882,15708]) ).
cnf(15892,plain,
( sum(n8,sum(pred(n7),succ(n7))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15142,15883,theory(equality)]) ).
cnf(15893,plain,
( sum(sum(n3,succ(n7)),sum(pred(n7),n5)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15143,15883,theory(equality)]) ).
cnf(15896,plain,
( n0 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15892,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),111,theory(equality)]) ).
cnf(15897,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15893,217,theory(equality)]),161,theory(equality)]),206,theory(equality)]),131,theory(equality)]),202,theory(equality)]) ).
cnf(15898,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n0),succ(n0))) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,15896,theory(equality)]) ).
cnf(15899,plain,
( sum(sum(pred(esk3_0),succ(n0)),sum(pred(n0),succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,15896,theory(equality)]) ).
cnf(15900,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n0) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15898,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(15901,plain,
( sum(sum(pred(esk3_0),n1),sum(n10,succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15899,224,theory(equality)]),213,theory(equality)]) ).
cnf(15911,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15900,15897,theory(equality)]) ).
cnf(15912,plain,
( n0 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15911,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(15913,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n0),succ(n0))) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,15912,theory(equality)]) ).
cnf(15914,plain,
( sum(sum(pred(esk5_0),succ(n0)),sum(pred(n0),succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,15912,theory(equality)]) ).
cnf(15915,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n0) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15913,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(15916,plain,
( sum(sum(pred(esk5_0),n1),sum(n10,succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15914,224,theory(equality)]),213,theory(equality)]) ).
cnf(15924,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15901,15897,theory(equality)]) ).
cnf(15925,plain,
( n0 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15924,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(15928,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15915,15925,theory(equality)]) ).
cnf(15931,plain,
( n0 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15928,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(15932,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n0),succ(n0))) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,15931,theory(equality)]) ).
cnf(15933,plain,
( sum(sum(pred(esk7_0),succ(n0)),sum(pred(n0),succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,15931,theory(equality)]) ).
cnf(15934,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n0) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15932,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(15935,plain,
( sum(sum(pred(esk7_0),n1),sum(n10,succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15933,224,theory(equality)]),213,theory(equality)]) ).
cnf(15940,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15916,15925,theory(equality)]) ).
cnf(15941,plain,
( n0 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15940,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(15944,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15934,15941,theory(equality)]) ).
cnf(15947,plain,
( n0 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15944,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(15948,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n0),succ(n0))) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,15947,theory(equality)]) ).
cnf(15949,plain,
( sum(sum(pred(esk9_0),succ(n0)),sum(pred(n0),succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,15947,theory(equality)]) ).
cnf(15950,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n0) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15948,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(15951,plain,
( sum(sum(pred(esk9_0),n1),sum(n10,succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15949,224,theory(equality)]),213,theory(equality)]) ).
cnf(15956,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15935,15941,theory(equality)]) ).
cnf(15957,plain,
( n0 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15956,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(15960,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15950,15957,theory(equality)]) ).
cnf(15963,plain,
( n0 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15960,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(15964,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n0),succ(n0))) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,15963,theory(equality)]) ).
cnf(15965,plain,
( sum(sum(pred(esk11_0),succ(n0)),sum(pred(n0),succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,15963,theory(equality)]) ).
cnf(15966,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n0) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15964,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(15967,plain,
( sum(sum(pred(esk11_0),n1),sum(n10,succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15965,224,theory(equality)]),213,theory(equality)]) ).
cnf(15972,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15951,15957,theory(equality)]) ).
cnf(15973,plain,
( n0 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15972,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(15976,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15966,15973,theory(equality)]) ).
cnf(15979,plain,
( n0 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15976,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(15980,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n0),succ(n0))) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,15979,theory(equality)]) ).
cnf(15981,plain,
( sum(sum(pred(esk13_0),succ(n0)),sum(pred(n0),succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,15979,theory(equality)]) ).
cnf(15982,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n0) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15980,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(15983,plain,
( sum(sum(pred(esk13_0),n1),sum(n10,succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15981,224,theory(equality)]),213,theory(equality)]) ).
cnf(15988,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15967,15973,theory(equality)]) ).
cnf(15989,plain,
( n0 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15988,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(15994,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15982,15989,theory(equality)]) ).
cnf(15997,plain,
( n0 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15994,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(15998,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n0),succ(n0))) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,15997,theory(equality)]) ).
cnf(15999,plain,
( sum(sum(pred(esk15_0),succ(n0)),sum(pred(n0),succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,15997,theory(equality)]) ).
cnf(16000,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n0) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15998,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(16001,plain,
( sum(sum(pred(esk15_0),n1),sum(n10,succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15999,224,theory(equality)]),213,theory(equality)]) ).
cnf(16004,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[15983,15989,theory(equality)]) ).
cnf(16005,plain,
( n0 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16004,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(16008,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[16000,16005,theory(equality)]) ).
cnf(16011,plain,
( n0 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16008,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(16014,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n0),succ(n0))) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,16011,theory(equality)]) ).
cnf(16015,plain,
( sum(sum(pred(esk17_0),succ(n0)),sum(pred(n0),succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,16011,theory(equality)]) ).
cnf(16016,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n0) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16014,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(16017,plain,
( sum(sum(pred(esk17_0),n1),sum(n10,succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16015,224,theory(equality)]),213,theory(equality)]) ).
cnf(16020,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[16001,16005,theory(equality)]) ).
cnf(16021,plain,
( n0 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16020,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(16024,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[16016,16021,theory(equality)]) ).
cnf(16027,plain,
( n0 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16024,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(16028,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n0),succ(n0))) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,16027,theory(equality)]) ).
cnf(16029,plain,
( sum(sum(pred(esk19_0),succ(n0)),sum(pred(n0),succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,16027,theory(equality)]) ).
cnf(16030,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n0) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16028,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(16031,plain,
( sum(sum(pred(esk19_0),n1),sum(n10,succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16029,224,theory(equality)]),213,theory(equality)]) ).
cnf(16036,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[16017,16021,theory(equality)]) ).
cnf(16037,plain,
( n0 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16036,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(16040,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[16030,16037,theory(equality)]) ).
cnf(16043,plain,
( n0 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16040,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(16048,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[16031,16037,theory(equality)]) ).
cnf(16049,plain,
( n0 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16048,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(16050,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n0 != esk22_0 ),
inference(spm,[status(thm)],[59,16049,theory(equality)]) ).
cnf(16051,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[16050,16043]) ).
cnf(16052,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n0 != esk20_0 ),
inference(spm,[status(thm)],[16051,16037,theory(equality)]) ).
cnf(16053,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[16052,16027]) ).
cnf(16054,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n0 != esk18_0 ),
inference(spm,[status(thm)],[16053,16021,theory(equality)]) ).
cnf(16055,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[16054,16011]) ).
cnf(16056,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n0 != esk16_0 ),
inference(spm,[status(thm)],[16055,16005,theory(equality)]) ).
cnf(16059,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[16056,15997]) ).
cnf(16060,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n0 != esk14_0 ),
inference(spm,[status(thm)],[16059,15989,theory(equality)]) ).
cnf(16061,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[16060,15979]) ).
cnf(16062,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n0 != esk12_0 ),
inference(spm,[status(thm)],[16061,15973,theory(equality)]) ).
cnf(16063,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[16062,15963]) ).
cnf(16064,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n0 != esk10_0 ),
inference(spm,[status(thm)],[16063,15957,theory(equality)]) ).
cnf(16065,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[16064,15947]) ).
cnf(16066,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n0 != esk8_0 ),
inference(spm,[status(thm)],[16065,15941,theory(equality)]) ).
cnf(16067,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[16066,15931]) ).
cnf(16068,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n0 != esk6_0 ),
inference(spm,[status(thm)],[16067,15925,theory(equality)]) ).
cnf(16069,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[16068,15912]) ).
cnf(16070,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n0 != esk4_0 ),
inference(spm,[status(thm)],[16069,15897,theory(equality)]) ).
cnf(16071,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(csr,[status(thm)],[16070,15896]) ).
cnf(16079,plain,
( sum(n8,sum(pred(n6),succ(n6))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15142,16071,theory(equality)]) ).
cnf(16080,plain,
( sum(sum(n3,succ(n6)),sum(pred(n6),n5)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15143,16071,theory(equality)]) ).
cnf(16083,plain,
( n9 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16079,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),113,theory(equality)]) ).
cnf(16084,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16080,218,theory(equality)]),162,theory(equality)]),207,theory(equality)]),142,theory(equality)]),82,theory(equality)]) ).
cnf(16085,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n9),succ(n9))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,16083,theory(equality)]) ).
cnf(16086,plain,
( sum(sum(pred(esk3_0),succ(n9)),sum(pred(n9),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,16083,theory(equality)]) ).
cnf(16087,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n7) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16085,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(16088,plain,
( sum(sum(pred(esk3_0),n10),sum(n8,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16086,215,theory(equality)]),204,theory(equality)]) ).
cnf(16098,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16087,16084,theory(equality)]) ).
cnf(16099,plain,
( n3 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16098,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16105,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n3),succ(n3))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,16099,theory(equality)]) ).
cnf(16106,plain,
( sum(sum(pred(esk5_0),succ(n3)),sum(pred(n3),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,16099,theory(equality)]) ).
cnf(16107,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n6) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16105,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(16108,plain,
( sum(sum(pred(esk5_0),n4),sum(n2,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16106,221,theory(equality)]),210,theory(equality)]) ).
cnf(16111,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16088,16084,theory(equality)]) ).
cnf(16112,plain,
( n3 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16111,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16115,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16107,16112,theory(equality)]) ).
cnf(16118,plain,
( n1 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16115,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16119,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n1),succ(n1))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,16118,theory(equality)]) ).
cnf(16120,plain,
( sum(sum(pred(esk7_0),succ(n1)),sum(pred(n1),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,16118,theory(equality)]) ).
cnf(16121,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n2) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16119,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(16122,plain,
( sum(sum(pred(esk7_0),n2),sum(n0,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16120,223,theory(equality)]),212,theory(equality)]) ).
cnf(16127,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16108,16112,theory(equality)]) ).
cnf(16128,plain,
( n1 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16127,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16131,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16121,16128,theory(equality)]) ).
cnf(16134,plain,
( n4 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16131,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16135,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n4),succ(n4))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,16134,theory(equality)]) ).
cnf(16136,plain,
( sum(sum(pred(esk9_0),succ(n4)),sum(pred(n4),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,16134,theory(equality)]) ).
cnf(16137,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n8) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16135,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(16138,plain,
( sum(sum(pred(esk9_0),n5),sum(n3,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16136,220,theory(equality)]),209,theory(equality)]) ).
cnf(16143,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16122,16128,theory(equality)]) ).
cnf(16144,plain,
( n4 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16143,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16147,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16137,16144,theory(equality)]) ).
cnf(16150,plain,
( n5 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16147,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16151,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n5),succ(n5))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,16150,theory(equality)]) ).
cnf(16152,plain,
( sum(sum(pred(esk11_0),succ(n5)),sum(pred(n5),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,16150,theory(equality)]) ).
cnf(16153,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n10) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16151,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(16154,plain,
( sum(sum(pred(esk11_0),n6),sum(n4,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16152,219,theory(equality)]),208,theory(equality)]) ).
cnf(16159,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16138,16144,theory(equality)]) ).
cnf(16160,plain,
( n5 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16159,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16163,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16153,16160,theory(equality)]) ).
cnf(16166,plain,
( n9 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16163,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16167,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n9),succ(n9))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,16166,theory(equality)]) ).
cnf(16168,plain,
( sum(sum(pred(esk13_0),succ(n9)),sum(pred(n9),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,16166,theory(equality)]) ).
cnf(16169,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n7) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16167,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(16170,plain,
( sum(sum(pred(esk13_0),n10),sum(n8,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16168,215,theory(equality)]),204,theory(equality)]) ).
cnf(16175,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16154,16160,theory(equality)]) ).
cnf(16176,plain,
( n9 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16175,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16179,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16169,16176,theory(equality)]) ).
cnf(16182,plain,
( n3 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16179,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16183,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n3),succ(n3))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,16182,theory(equality)]) ).
cnf(16184,plain,
( sum(sum(pred(esk15_0),succ(n3)),sum(pred(n3),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,16182,theory(equality)]) ).
cnf(16185,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n6) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16183,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(16186,plain,
( sum(sum(pred(esk15_0),n4),sum(n2,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16184,221,theory(equality)]),210,theory(equality)]) ).
cnf(16191,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16170,16176,theory(equality)]) ).
cnf(16192,plain,
( n3 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16191,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16195,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16185,16192,theory(equality)]) ).
cnf(16198,plain,
( n1 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16195,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16199,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n1),succ(n1))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,16198,theory(equality)]) ).
cnf(16200,plain,
( sum(sum(pred(esk17_0),succ(n1)),sum(pred(n1),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,16198,theory(equality)]) ).
cnf(16201,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n2) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16199,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(16202,plain,
( sum(sum(pred(esk17_0),n2),sum(n0,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16200,223,theory(equality)]),212,theory(equality)]) ).
cnf(16207,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16186,16192,theory(equality)]) ).
cnf(16208,plain,
( n1 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16207,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16211,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16201,16208,theory(equality)]) ).
cnf(16214,plain,
( n4 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16211,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16215,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n4),succ(n4))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,16214,theory(equality)]) ).
cnf(16216,plain,
( sum(sum(pred(esk19_0),succ(n4)),sum(pred(n4),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,16214,theory(equality)]) ).
cnf(16217,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n8) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16215,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(16218,plain,
( sum(sum(pred(esk19_0),n5),sum(n3,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16216,220,theory(equality)]),209,theory(equality)]) ).
cnf(16223,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16202,16208,theory(equality)]) ).
cnf(16224,plain,
( n4 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16223,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16229,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16217,16224,theory(equality)]) ).
cnf(16232,plain,
( n5 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16229,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16235,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16218,16224,theory(equality)]) ).
cnf(16236,plain,
( n5 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16235,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16237,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n5 != esk22_0 ),
inference(spm,[status(thm)],[59,16236,theory(equality)]) ).
cnf(16240,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[16237,16232]) ).
cnf(16241,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n4 != esk20_0 ),
inference(spm,[status(thm)],[16240,16224,theory(equality)]) ).
cnf(16242,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[16241,16214]) ).
cnf(16243,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n1 != esk18_0 ),
inference(spm,[status(thm)],[16242,16208,theory(equality)]) ).
cnf(16244,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[16243,16198]) ).
cnf(16245,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n3 != esk16_0 ),
inference(spm,[status(thm)],[16244,16192,theory(equality)]) ).
cnf(16246,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[16245,16182]) ).
cnf(16247,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n9 != esk14_0 ),
inference(spm,[status(thm)],[16246,16176,theory(equality)]) ).
cnf(16248,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[16247,16166]) ).
cnf(16249,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n5 != esk12_0 ),
inference(spm,[status(thm)],[16248,16160,theory(equality)]) ).
cnf(16250,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[16249,16150]) ).
cnf(16251,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n4 != esk10_0 ),
inference(spm,[status(thm)],[16250,16144,theory(equality)]) ).
cnf(16252,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[16251,16134]) ).
cnf(16253,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n1 != esk8_0 ),
inference(spm,[status(thm)],[16252,16128,theory(equality)]) ).
cnf(16254,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[16253,16118]) ).
cnf(16255,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n3 != esk6_0 ),
inference(spm,[status(thm)],[16254,16112,theory(equality)]) ).
cnf(16256,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[16255,16099]) ).
cnf(16257,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n9 != esk4_0 ),
inference(spm,[status(thm)],[16256,16084,theory(equality)]) ).
cnf(16258,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[16257,16083]) ).
cnf(16265,plain,
( sum(n8,sum(pred(n5),succ(n5))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[15142,16258,theory(equality)]) ).
cnf(16266,plain,
( sum(sum(n3,succ(n5)),sum(pred(n5),n5)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[15143,16258,theory(equality)]) ).
cnf(16269,plain,
( n7 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16265,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),104,theory(equality)]) ).
cnf(16270,plain,
( n7 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16266,219,theory(equality)]),163,theory(equality)]),208,theory(equality)]),153,theory(equality)]),94,theory(equality)]) ).
cnf(16271,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n7),succ(n7))) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,16269,theory(equality)]) ).
cnf(16272,plain,
( sum(sum(pred(esk3_0),succ(n7)),sum(pred(n7),succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,16269,theory(equality)]) ).
cnf(16273,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n3) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16271,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(16274,plain,
( sum(sum(pred(esk3_0),n8),sum(n6,succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16272,217,theory(equality)]),206,theory(equality)]) ).
cnf(16289,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16273,16270,theory(equality)]) ).
cnf(16290,plain,
( n6 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16289,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(16291,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n6),succ(n6))) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,16290,theory(equality)]) ).
cnf(16292,plain,
( sum(sum(pred(esk5_0),succ(n6)),sum(pred(n6),succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,16290,theory(equality)]) ).
cnf(16293,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n1) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16291,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(16294,plain,
( sum(sum(pred(esk5_0),n7),sum(n5,succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16292,218,theory(equality)]),207,theory(equality)]) ).
cnf(16297,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16274,16270,theory(equality)]) ).
cnf(16298,plain,
( n6 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16297,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(16303,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16293,16298,theory(equality)]) ).
cnf(16306,plain,
( n2 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16303,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(16307,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n2),succ(n2))) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,16306,theory(equality)]) ).
cnf(16308,plain,
( sum(sum(pred(esk7_0),succ(n2)),sum(pred(n2),succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,16306,theory(equality)]) ).
cnf(16309,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n4) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16307,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(16310,plain,
( sum(sum(pred(esk7_0),n3),sum(n1,succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16308,222,theory(equality)]),211,theory(equality)]) ).
cnf(16313,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16294,16298,theory(equality)]) ).
cnf(16314,plain,
( n2 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16313,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(16317,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16309,16314,theory(equality)]) ).
cnf(16320,plain,
( n8 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16317,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(16323,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n8),succ(n8))) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,16320,theory(equality)]) ).
cnf(16324,plain,
( sum(sum(pred(esk9_0),succ(n8)),sum(pred(n8),succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,16320,theory(equality)]) ).
cnf(16325,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n5) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16323,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(16326,plain,
( sum(sum(pred(esk9_0),n9),sum(n7,succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16324,216,theory(equality)]),205,theory(equality)]) ).
cnf(16329,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16310,16314,theory(equality)]) ).
cnf(16330,plain,
( n8 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16329,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(16333,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16325,16330,theory(equality)]) ).
cnf(16336,plain,
( n10 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16333,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(16337,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n10),succ(n10))) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,16336,theory(equality)]) ).
cnf(16338,plain,
( sum(sum(pred(esk11_0),succ(n10)),sum(pred(n10),succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,16336,theory(equality)]) ).
cnf(16339,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n9) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16337,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(16340,plain,
( sum(sum(pred(esk11_0),n0),sum(n9,succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16338,214,theory(equality)]),203,theory(equality)]) ).
cnf(16345,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16326,16330,theory(equality)]) ).
cnf(16346,plain,
( n10 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16345,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(16349,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16339,16346,theory(equality)]) ).
cnf(16352,plain,
( n7 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16349,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(16353,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n7),succ(n7))) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,16352,theory(equality)]) ).
cnf(16354,plain,
( sum(sum(pred(esk13_0),succ(n7)),sum(pred(n7),succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,16352,theory(equality)]) ).
cnf(16355,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n3) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16353,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(16356,plain,
( sum(sum(pred(esk13_0),n8),sum(n6,succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16354,217,theory(equality)]),206,theory(equality)]) ).
cnf(16361,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16340,16346,theory(equality)]) ).
cnf(16362,plain,
( n7 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16361,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(16365,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16355,16362,theory(equality)]) ).
cnf(16368,plain,
( n6 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16365,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(16369,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n6),succ(n6))) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,16368,theory(equality)]) ).
cnf(16370,plain,
( sum(sum(pred(esk15_0),succ(n6)),sum(pred(n6),succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,16368,theory(equality)]) ).
cnf(16371,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n1) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16369,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(16372,plain,
( sum(sum(pred(esk15_0),n7),sum(n5,succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16370,218,theory(equality)]),207,theory(equality)]) ).
cnf(16377,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16356,16362,theory(equality)]) ).
cnf(16378,plain,
( n6 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16377,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(16381,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16371,16378,theory(equality)]) ).
cnf(16384,plain,
( n2 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16381,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(16385,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n2),succ(n2))) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,16384,theory(equality)]) ).
cnf(16386,plain,
( sum(sum(pred(esk17_0),succ(n2)),sum(pred(n2),succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,16384,theory(equality)]) ).
cnf(16387,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n4) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16385,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(16388,plain,
( sum(sum(pred(esk17_0),n3),sum(n1,succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16386,222,theory(equality)]),211,theory(equality)]) ).
cnf(16393,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16372,16378,theory(equality)]) ).
cnf(16394,plain,
( n2 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16393,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(16397,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16387,16394,theory(equality)]) ).
cnf(16400,plain,
( n8 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16397,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(16401,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n8),succ(n8))) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,16400,theory(equality)]) ).
cnf(16402,plain,
( sum(sum(pred(esk19_0),succ(n8)),sum(pred(n8),succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,16400,theory(equality)]) ).
cnf(16403,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n5) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16401,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(16404,plain,
( sum(sum(pred(esk19_0),n9),sum(n7,succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16402,216,theory(equality)]),205,theory(equality)]) ).
cnf(16409,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16388,16394,theory(equality)]) ).
cnf(16410,plain,
( n8 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16409,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(16413,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16403,16410,theory(equality)]) ).
cnf(16416,plain,
( n10 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16413,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(16421,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[16404,16410,theory(equality)]) ).
cnf(16422,plain,
( n10 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16421,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(16425,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n10 != esk22_0 ),
inference(spm,[status(thm)],[59,16422,theory(equality)]) ).
cnf(16426,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[16425,16416]) ).
cnf(16427,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n8 != esk20_0 ),
inference(spm,[status(thm)],[16426,16410,theory(equality)]) ).
cnf(16428,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[16427,16400]) ).
cnf(16429,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n2 != esk18_0 ),
inference(spm,[status(thm)],[16428,16394,theory(equality)]) ).
cnf(16430,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[16429,16384]) ).
cnf(16431,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n6 != esk16_0 ),
inference(spm,[status(thm)],[16430,16378,theory(equality)]) ).
cnf(16432,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[16431,16368]) ).
cnf(16433,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n7 != esk14_0 ),
inference(spm,[status(thm)],[16432,16362,theory(equality)]) ).
cnf(16434,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[16433,16352]) ).
cnf(16435,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n10 != esk12_0 ),
inference(spm,[status(thm)],[16434,16346,theory(equality)]) ).
cnf(16436,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[16435,16336]) ).
cnf(16437,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n8 != esk10_0 ),
inference(spm,[status(thm)],[16436,16330,theory(equality)]) ).
cnf(16438,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[16437,16320]) ).
cnf(16439,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n2 != esk8_0 ),
inference(spm,[status(thm)],[16438,16314,theory(equality)]) ).
cnf(16440,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[16439,16306]) ).
cnf(16441,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n6 != esk6_0 ),
inference(spm,[status(thm)],[16440,16298,theory(equality)]) ).
cnf(16442,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[16441,16290]) ).
cnf(16443,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n7 != esk4_0 ),
inference(spm,[status(thm)],[16442,16270,theory(equality)]) ).
cnf(16444,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(csr,[status(thm)],[16443,16269]) ).
cnf(16450,plain,
( sum(n8,sum(pred(n4),succ(n4))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15142,16444,theory(equality)]) ).
cnf(16451,plain,
( sum(sum(n3,succ(n4)),sum(pred(n4),n5)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15143,16444,theory(equality)]) ).
cnf(16454,plain,
( n5 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16450,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16455,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16451,220,theory(equality)]),164,theory(equality)]),209,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16456,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n5),succ(n5))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,16454,theory(equality)]) ).
cnf(16457,plain,
( sum(sum(pred(esk3_0),succ(n5)),sum(pred(n5),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,16454,theory(equality)]) ).
cnf(16458,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n10) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16456,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(16459,plain,
( sum(sum(pred(esk3_0),n6),sum(n4,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16457,219,theory(equality)]),208,theory(equality)]) ).
cnf(16469,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16458,16455,theory(equality)]) ).
cnf(16470,plain,
( n9 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16469,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16471,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n9),succ(n9))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,16470,theory(equality)]) ).
cnf(16472,plain,
( sum(sum(pred(esk5_0),succ(n9)),sum(pred(n9),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,16470,theory(equality)]) ).
cnf(16473,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n7) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16471,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(16474,plain,
( sum(sum(pred(esk5_0),n10),sum(n8,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16472,215,theory(equality)]),204,theory(equality)]) ).
cnf(16482,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16459,16455,theory(equality)]) ).
cnf(16483,plain,
( n9 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16482,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16486,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16473,16483,theory(equality)]) ).
cnf(16489,plain,
( n3 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16486,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16490,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n3),succ(n3))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,16489,theory(equality)]) ).
cnf(16491,plain,
( sum(sum(pred(esk7_0),succ(n3)),sum(pred(n3),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,16489,theory(equality)]) ).
cnf(16492,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n6) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16490,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(16493,plain,
( sum(sum(pred(esk7_0),n4),sum(n2,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16491,221,theory(equality)]),210,theory(equality)]) ).
cnf(16498,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16474,16483,theory(equality)]) ).
cnf(16499,plain,
( n3 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16498,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16504,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16492,16499,theory(equality)]) ).
cnf(16507,plain,
( n1 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16504,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16508,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n1),succ(n1))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,16507,theory(equality)]) ).
cnf(16509,plain,
( sum(sum(pred(esk9_0),succ(n1)),sum(pred(n1),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,16507,theory(equality)]) ).
cnf(16510,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n2) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16508,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(16511,plain,
( sum(sum(pred(esk9_0),n2),sum(n0,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16509,223,theory(equality)]),212,theory(equality)]) ).
cnf(16514,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16493,16499,theory(equality)]) ).
cnf(16515,plain,
( n1 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16514,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16518,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16510,16515,theory(equality)]) ).
cnf(16521,plain,
( n4 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16518,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16524,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n4),succ(n4))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,16521,theory(equality)]) ).
cnf(16525,plain,
( sum(sum(pred(esk11_0),succ(n4)),sum(pred(n4),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,16521,theory(equality)]) ).
cnf(16526,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n8) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16524,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(16527,plain,
( sum(sum(pred(esk11_0),n5),sum(n3,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16525,220,theory(equality)]),209,theory(equality)]) ).
cnf(16530,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16511,16515,theory(equality)]) ).
cnf(16531,plain,
( n4 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16530,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16534,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16526,16531,theory(equality)]) ).
cnf(16537,plain,
( n5 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16534,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16538,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n5),succ(n5))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,16537,theory(equality)]) ).
cnf(16539,plain,
( sum(sum(pred(esk13_0),succ(n5)),sum(pred(n5),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,16537,theory(equality)]) ).
cnf(16540,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n10) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16538,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(16541,plain,
( sum(sum(pred(esk13_0),n6),sum(n4,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16539,219,theory(equality)]),208,theory(equality)]) ).
cnf(16546,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16527,16531,theory(equality)]) ).
cnf(16547,plain,
( n5 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16546,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16550,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16540,16547,theory(equality)]) ).
cnf(16553,plain,
( n9 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16550,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16554,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n9),succ(n9))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,16553,theory(equality)]) ).
cnf(16555,plain,
( sum(sum(pred(esk15_0),succ(n9)),sum(pred(n9),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,16553,theory(equality)]) ).
cnf(16556,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n7) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16554,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(16557,plain,
( sum(sum(pred(esk15_0),n10),sum(n8,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16555,215,theory(equality)]),204,theory(equality)]) ).
cnf(16562,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16541,16547,theory(equality)]) ).
cnf(16563,plain,
( n9 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16562,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16566,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16556,16563,theory(equality)]) ).
cnf(16569,plain,
( n3 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16566,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16570,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n3),succ(n3))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,16569,theory(equality)]) ).
cnf(16571,plain,
( sum(sum(pred(esk17_0),succ(n3)),sum(pred(n3),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,16569,theory(equality)]) ).
cnf(16572,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n6) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16570,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(16573,plain,
( sum(sum(pred(esk17_0),n4),sum(n2,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16571,221,theory(equality)]),210,theory(equality)]) ).
cnf(16578,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16557,16563,theory(equality)]) ).
cnf(16579,plain,
( n3 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16578,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16582,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16572,16579,theory(equality)]) ).
cnf(16585,plain,
( n1 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16582,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16586,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n1),succ(n1))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,16585,theory(equality)]) ).
cnf(16587,plain,
( sum(sum(pred(esk19_0),succ(n1)),sum(pred(n1),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,16585,theory(equality)]) ).
cnf(16588,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n2) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16586,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(16589,plain,
( sum(sum(pred(esk19_0),n2),sum(n0,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16587,223,theory(equality)]),212,theory(equality)]) ).
cnf(16594,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16573,16579,theory(equality)]) ).
cnf(16595,plain,
( n1 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16594,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16598,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16588,16595,theory(equality)]) ).
cnf(16601,plain,
( n4 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16598,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16606,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16589,16595,theory(equality)]) ).
cnf(16607,plain,
( n4 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16606,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16608,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n4 != esk22_0 ),
inference(spm,[status(thm)],[59,16607,theory(equality)]) ).
cnf(16611,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[16608,16601]) ).
cnf(16612,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n1 != esk20_0 ),
inference(spm,[status(thm)],[16611,16595,theory(equality)]) ).
cnf(16613,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[16612,16585]) ).
cnf(16614,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n3 != esk18_0 ),
inference(spm,[status(thm)],[16613,16579,theory(equality)]) ).
cnf(16615,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[16614,16569]) ).
cnf(16616,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n9 != esk16_0 ),
inference(spm,[status(thm)],[16615,16563,theory(equality)]) ).
cnf(16617,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[16616,16553]) ).
cnf(16618,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n5 != esk14_0 ),
inference(spm,[status(thm)],[16617,16547,theory(equality)]) ).
cnf(16619,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[16618,16537]) ).
cnf(16620,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n4 != esk12_0 ),
inference(spm,[status(thm)],[16619,16531,theory(equality)]) ).
cnf(16621,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[16620,16521]) ).
cnf(16622,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n1 != esk10_0 ),
inference(spm,[status(thm)],[16621,16515,theory(equality)]) ).
cnf(16623,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[16622,16507]) ).
cnf(16624,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n3 != esk8_0 ),
inference(spm,[status(thm)],[16623,16499,theory(equality)]) ).
cnf(16625,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[16624,16489]) ).
cnf(16626,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n9 != esk6_0 ),
inference(spm,[status(thm)],[16625,16483,theory(equality)]) ).
cnf(16627,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[16626,16470]) ).
cnf(16628,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n5 != esk4_0 ),
inference(spm,[status(thm)],[16627,16455,theory(equality)]) ).
cnf(16629,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[16628,16454]) ).
cnf(16634,plain,
( sum(n8,sum(pred(n3),succ(n3))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[15142,16629,theory(equality)]) ).
cnf(16635,plain,
( sum(sum(n3,succ(n3)),sum(pred(n3),n5)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[15143,16629,theory(equality)]) ).
cnf(16638,plain,
( n3 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16634,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),108,theory(equality)]) ).
cnf(16639,plain,
( n3 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16635,221,theory(equality)]),165,theory(equality)]),210,theory(equality)]),175,theory(equality)]),118,theory(equality)]) ).
cnf(16640,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n3),succ(n3))) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,16638,theory(equality)]) ).
cnf(16641,plain,
( sum(sum(pred(esk3_0),succ(n3)),sum(pred(n3),succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,16638,theory(equality)]) ).
cnf(16642,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n6) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16640,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(16643,plain,
( sum(sum(pred(esk3_0),n4),sum(n2,succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16641,221,theory(equality)]),210,theory(equality)]) ).
cnf(16653,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16642,16639,theory(equality)]) ).
cnf(16654,plain,
( n1 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16653,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16655,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n1),succ(n1))) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,16654,theory(equality)]) ).
cnf(16656,plain,
( sum(sum(pred(esk5_0),succ(n1)),sum(pred(n1),succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,16654,theory(equality)]) ).
cnf(16657,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n2) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16655,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(16658,plain,
( sum(sum(pred(esk5_0),n2),sum(n0,succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16656,223,theory(equality)]),212,theory(equality)]) ).
cnf(16666,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16643,16639,theory(equality)]) ).
cnf(16667,plain,
( n1 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16666,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16670,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16657,16667,theory(equality)]) ).
cnf(16673,plain,
( n4 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16670,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16674,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n4),succ(n4))) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,16673,theory(equality)]) ).
cnf(16675,plain,
( sum(sum(pred(esk7_0),succ(n4)),sum(pred(n4),succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,16673,theory(equality)]) ).
cnf(16676,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n8) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16674,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(16677,plain,
( sum(sum(pred(esk7_0),n5),sum(n3,succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16675,220,theory(equality)]),209,theory(equality)]) ).
cnf(16682,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16658,16667,theory(equality)]) ).
cnf(16683,plain,
( n4 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16682,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16688,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16676,16683,theory(equality)]) ).
cnf(16691,plain,
( n5 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16688,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16692,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n5),succ(n5))) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,16691,theory(equality)]) ).
cnf(16693,plain,
( sum(sum(pred(esk9_0),succ(n5)),sum(pred(n5),succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,16691,theory(equality)]) ).
cnf(16694,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n10) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16692,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(16695,plain,
( sum(sum(pred(esk9_0),n6),sum(n4,succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16693,219,theory(equality)]),208,theory(equality)]) ).
cnf(16698,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16677,16683,theory(equality)]) ).
cnf(16699,plain,
( n5 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16698,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16702,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16694,16699,theory(equality)]) ).
cnf(16705,plain,
( n9 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16702,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16708,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n9),succ(n9))) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,16705,theory(equality)]) ).
cnf(16709,plain,
( sum(sum(pred(esk11_0),succ(n9)),sum(pred(n9),succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,16705,theory(equality)]) ).
cnf(16710,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n7) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16708,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(16711,plain,
( sum(sum(pred(esk11_0),n10),sum(n8,succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16709,215,theory(equality)]),204,theory(equality)]) ).
cnf(16714,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16695,16699,theory(equality)]) ).
cnf(16715,plain,
( n9 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16714,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16718,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16710,16715,theory(equality)]) ).
cnf(16721,plain,
( n3 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16718,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16722,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n3),succ(n3))) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,16721,theory(equality)]) ).
cnf(16723,plain,
( sum(sum(pred(esk13_0),succ(n3)),sum(pred(n3),succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,16721,theory(equality)]) ).
cnf(16724,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n6) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16722,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(16725,plain,
( sum(sum(pred(esk13_0),n4),sum(n2,succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16723,221,theory(equality)]),210,theory(equality)]) ).
cnf(16730,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16711,16715,theory(equality)]) ).
cnf(16731,plain,
( n3 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16730,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16734,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16724,16731,theory(equality)]) ).
cnf(16737,plain,
( n1 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16734,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16738,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n1),succ(n1))) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,16737,theory(equality)]) ).
cnf(16739,plain,
( sum(sum(pred(esk15_0),succ(n1)),sum(pred(n1),succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,16737,theory(equality)]) ).
cnf(16740,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n2) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16738,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(16741,plain,
( sum(sum(pred(esk15_0),n2),sum(n0,succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16739,223,theory(equality)]),212,theory(equality)]) ).
cnf(16746,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16725,16731,theory(equality)]) ).
cnf(16747,plain,
( n1 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16746,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16750,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16740,16747,theory(equality)]) ).
cnf(16753,plain,
( n4 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16750,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16754,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n4),succ(n4))) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,16753,theory(equality)]) ).
cnf(16755,plain,
( sum(sum(pred(esk17_0),succ(n4)),sum(pred(n4),succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,16753,theory(equality)]) ).
cnf(16756,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n8) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16754,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(16757,plain,
( sum(sum(pred(esk17_0),n5),sum(n3,succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16755,220,theory(equality)]),209,theory(equality)]) ).
cnf(16762,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16741,16747,theory(equality)]) ).
cnf(16763,plain,
( n4 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16762,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16766,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16756,16763,theory(equality)]) ).
cnf(16769,plain,
( n5 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16766,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16770,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n5),succ(n5))) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,16769,theory(equality)]) ).
cnf(16771,plain,
( sum(sum(pred(esk19_0),succ(n5)),sum(pred(n5),succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,16769,theory(equality)]) ).
cnf(16772,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n10) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16770,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(16773,plain,
( sum(sum(pred(esk19_0),n6),sum(n4,succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16771,219,theory(equality)]),208,theory(equality)]) ).
cnf(16778,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16757,16763,theory(equality)]) ).
cnf(16779,plain,
( n5 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16778,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16782,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16772,16779,theory(equality)]) ).
cnf(16785,plain,
( n9 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16782,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16790,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[16773,16779,theory(equality)]) ).
cnf(16791,plain,
( n9 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16790,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16792,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n9 != esk22_0 ),
inference(spm,[status(thm)],[59,16791,theory(equality)]) ).
cnf(16795,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[16792,16785]) ).
cnf(16796,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n5 != esk20_0 ),
inference(spm,[status(thm)],[16795,16779,theory(equality)]) ).
cnf(16797,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[16796,16769]) ).
cnf(16798,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n4 != esk18_0 ),
inference(spm,[status(thm)],[16797,16763,theory(equality)]) ).
cnf(16799,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[16798,16753]) ).
cnf(16800,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n1 != esk16_0 ),
inference(spm,[status(thm)],[16799,16747,theory(equality)]) ).
cnf(16801,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[16800,16737]) ).
cnf(16802,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n3 != esk14_0 ),
inference(spm,[status(thm)],[16801,16731,theory(equality)]) ).
cnf(16803,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[16802,16721]) ).
cnf(16804,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n9 != esk12_0 ),
inference(spm,[status(thm)],[16803,16715,theory(equality)]) ).
cnf(16805,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[16804,16705]) ).
cnf(16806,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n5 != esk10_0 ),
inference(spm,[status(thm)],[16805,16699,theory(equality)]) ).
cnf(16807,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[16806,16691]) ).
cnf(16808,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n4 != esk8_0 ),
inference(spm,[status(thm)],[16807,16683,theory(equality)]) ).
cnf(16809,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[16808,16673]) ).
cnf(16810,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n1 != esk6_0 ),
inference(spm,[status(thm)],[16809,16667,theory(equality)]) ).
cnf(16811,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[16810,16654]) ).
cnf(16812,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| n3 != esk4_0 ),
inference(spm,[status(thm)],[16811,16639,theory(equality)]) ).
cnf(16813,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(csr,[status(thm)],[16812,16638]) ).
cnf(16817,plain,
( sum(n8,sum(pred(n2),succ(n2))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15142,16813,theory(equality)]) ).
cnf(16818,plain,
( sum(sum(n3,succ(n2)),sum(pred(n2),n5)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[15143,16813,theory(equality)]) ).
cnf(16821,plain,
( n1 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16817,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),110,theory(equality)]) ).
cnf(16822,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16818,222,theory(equality)]),166,theory(equality)]),211,theory(equality)]),186,theory(equality)]),130,theory(equality)]) ).
cnf(16823,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n1),succ(n1))) = esk6_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,16821,theory(equality)]) ).
cnf(16824,plain,
( sum(sum(pred(esk3_0),succ(n1)),sum(pred(n1),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,16821,theory(equality)]) ).
cnf(16825,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n2) = esk6_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16823,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(16826,plain,
( sum(sum(pred(esk3_0),n2),sum(n0,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16824,223,theory(equality)]),212,theory(equality)]) ).
cnf(16841,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16825,16822,theory(equality)]) ).
cnf(16842,plain,
( n4 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16841,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16843,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n4),succ(n4))) = esk8_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,16842,theory(equality)]) ).
cnf(16844,plain,
( sum(sum(pred(esk5_0),succ(n4)),sum(pred(n4),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,16842,theory(equality)]) ).
cnf(16845,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n8) = esk8_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16843,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(16846,plain,
( sum(sum(pred(esk5_0),n5),sum(n3,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16844,220,theory(equality)]),209,theory(equality)]) ).
cnf(16849,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16826,16822,theory(equality)]) ).
cnf(16850,plain,
( n4 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16849,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16855,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16845,16850,theory(equality)]) ).
cnf(16858,plain,
( n5 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16855,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16859,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n5),succ(n5))) = esk10_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,16858,theory(equality)]) ).
cnf(16860,plain,
( sum(sum(pred(esk7_0),succ(n5)),sum(pred(n5),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,16858,theory(equality)]) ).
cnf(16861,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n10) = esk10_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16859,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(16862,plain,
( sum(sum(pred(esk7_0),n6),sum(n4,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16860,219,theory(equality)]),208,theory(equality)]) ).
cnf(16865,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16846,16850,theory(equality)]) ).
cnf(16866,plain,
( n5 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16865,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16869,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16861,16866,theory(equality)]) ).
cnf(16872,plain,
( n9 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16869,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16875,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n9),succ(n9))) = esk12_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,16872,theory(equality)]) ).
cnf(16876,plain,
( sum(sum(pred(esk9_0),succ(n9)),sum(pred(n9),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,16872,theory(equality)]) ).
cnf(16877,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n7) = esk12_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16875,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(16878,plain,
( sum(sum(pred(esk9_0),n10),sum(n8,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16876,215,theory(equality)]),204,theory(equality)]) ).
cnf(16881,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16862,16866,theory(equality)]) ).
cnf(16882,plain,
( n9 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16881,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16885,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16877,16882,theory(equality)]) ).
cnf(16888,plain,
( n3 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16885,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16889,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n3),succ(n3))) = esk14_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,16888,theory(equality)]) ).
cnf(16890,plain,
( sum(sum(pred(esk11_0),succ(n3)),sum(pred(n3),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,16888,theory(equality)]) ).
cnf(16891,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n6) = esk14_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16889,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(16892,plain,
( sum(sum(pred(esk11_0),n4),sum(n2,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16890,221,theory(equality)]),210,theory(equality)]) ).
cnf(16897,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16878,16882,theory(equality)]) ).
cnf(16898,plain,
( n3 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16897,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16901,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16891,16898,theory(equality)]) ).
cnf(16904,plain,
( n1 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16901,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16905,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n1),succ(n1))) = esk16_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,16904,theory(equality)]) ).
cnf(16906,plain,
( sum(sum(pred(esk13_0),succ(n1)),sum(pred(n1),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,16904,theory(equality)]) ).
cnf(16907,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n2) = esk16_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16905,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(16908,plain,
( sum(sum(pred(esk13_0),n2),sum(n0,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16906,223,theory(equality)]),212,theory(equality)]) ).
cnf(16913,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16892,16898,theory(equality)]) ).
cnf(16914,plain,
( n1 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16913,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(16917,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16907,16914,theory(equality)]) ).
cnf(16920,plain,
( n4 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16917,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16921,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n4),succ(n4))) = esk18_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,16920,theory(equality)]) ).
cnf(16922,plain,
( sum(sum(pred(esk15_0),succ(n4)),sum(pred(n4),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,16920,theory(equality)]) ).
cnf(16923,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n8) = esk18_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16921,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(16924,plain,
( sum(sum(pred(esk15_0),n5),sum(n3,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16922,220,theory(equality)]),209,theory(equality)]) ).
cnf(16929,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16908,16914,theory(equality)]) ).
cnf(16930,plain,
( n4 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16929,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(16933,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16923,16930,theory(equality)]) ).
cnf(16936,plain,
( n5 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16933,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16937,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n5),succ(n5))) = esk20_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,16936,theory(equality)]) ).
cnf(16938,plain,
( sum(sum(pred(esk17_0),succ(n5)),sum(pred(n5),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,16936,theory(equality)]) ).
cnf(16939,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n10) = esk20_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16937,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(16940,plain,
( sum(sum(pred(esk17_0),n6),sum(n4,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16938,219,theory(equality)]),208,theory(equality)]) ).
cnf(16945,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16924,16930,theory(equality)]) ).
cnf(16946,plain,
( n5 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16945,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(16949,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16939,16946,theory(equality)]) ).
cnf(16952,plain,
( n9 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16949,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16953,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n9),succ(n9))) = esk22_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,16952,theory(equality)]) ).
cnf(16954,plain,
( sum(sum(pred(esk19_0),succ(n9)),sum(pred(n9),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,16952,theory(equality)]) ).
cnf(16955,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n7) = esk22_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16953,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(16956,plain,
( sum(sum(pred(esk19_0),n10),sum(n8,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16954,215,theory(equality)]),204,theory(equality)]) ).
cnf(16961,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16940,16946,theory(equality)]) ).
cnf(16962,plain,
( n9 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16961,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(16965,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16955,16962,theory(equality)]) ).
cnf(16968,plain,
( n3 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16965,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16973,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(spm,[status(thm)],[16956,16962,theory(equality)]) ).
cnf(16974,plain,
( n3 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16973,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(16977,plain,
( esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n3 != esk22_0 ),
inference(spm,[status(thm)],[59,16974,theory(equality)]) ).
cnf(16978,plain,
( esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[16977,16968]) ).
cnf(16979,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n9 != esk20_0 ),
inference(spm,[status(thm)],[16978,16962,theory(equality)]) ).
cnf(16980,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[16979,16952]) ).
cnf(16981,plain,
( esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n5 != esk18_0 ),
inference(spm,[status(thm)],[16980,16946,theory(equality)]) ).
cnf(16982,plain,
( esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[16981,16936]) ).
cnf(16983,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n4 != esk16_0 ),
inference(spm,[status(thm)],[16982,16930,theory(equality)]) ).
cnf(16984,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[16983,16920]) ).
cnf(16985,plain,
( esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n1 != esk14_0 ),
inference(spm,[status(thm)],[16984,16914,theory(equality)]) ).
cnf(16986,plain,
( esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[16985,16904]) ).
cnf(16987,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n3 != esk12_0 ),
inference(spm,[status(thm)],[16986,16898,theory(equality)]) ).
cnf(16988,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[16987,16888]) ).
cnf(16989,plain,
( esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n9 != esk10_0 ),
inference(spm,[status(thm)],[16988,16882,theory(equality)]) ).
cnf(16990,plain,
( esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[16989,16872]) ).
cnf(16991,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n5 != esk8_0 ),
inference(spm,[status(thm)],[16990,16866,theory(equality)]) ).
cnf(16992,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[16991,16858]) ).
cnf(16993,plain,
( esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n4 != esk6_0 ),
inference(spm,[status(thm)],[16992,16850,theory(equality)]) ).
cnf(16994,plain,
( esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[16993,16842]) ).
cnf(16995,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| n1 != esk4_0 ),
inference(spm,[status(thm)],[16994,16822,theory(equality)]) ).
cnf(16996,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(csr,[status(thm)],[16995,16821]) ).
cnf(16999,plain,
( sum(n8,sum(pred(n1),succ(n1))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[15142,16996,theory(equality)]) ).
cnf(17000,plain,
( sum(sum(n3,succ(n1)),sum(pred(n1),n5)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[15143,16996,theory(equality)]) ).
cnf(17003,plain,
( n10 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16999,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),112,theory(equality)]) ).
cnf(17004,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17000,223,theory(equality)]),167,theory(equality)]),212,theory(equality)]),197,theory(equality)]),142,theory(equality)]) ).
cnf(17005,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n10),succ(n10))) = esk6_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,17003,theory(equality)]) ).
cnf(17006,plain,
( sum(sum(pred(esk3_0),succ(n10)),sum(pred(n10),succ(esk3_0))) = esk5_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,17003,theory(equality)]) ).
cnf(17007,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n9) = esk6_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17005,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(17008,plain,
( sum(sum(pred(esk3_0),n0),sum(n9,succ(esk3_0))) = esk5_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17006,214,theory(equality)]),203,theory(equality)]) ).
cnf(17018,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17007,17004,theory(equality)]) ).
cnf(17019,plain,
( n7 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17018,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17025,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n7),succ(n7))) = esk8_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,17019,theory(equality)]) ).
cnf(17026,plain,
( sum(sum(pred(esk5_0),succ(n7)),sum(pred(n7),succ(esk5_0))) = esk7_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,17019,theory(equality)]) ).
cnf(17027,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n3) = esk8_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17025,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(17028,plain,
( sum(sum(pred(esk5_0),n8),sum(n6,succ(esk5_0))) = esk7_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17026,217,theory(equality)]),206,theory(equality)]) ).
cnf(17031,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17008,17004,theory(equality)]) ).
cnf(17032,plain,
( n7 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17031,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17035,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17027,17032,theory(equality)]) ).
cnf(17038,plain,
( n6 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17035,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(17039,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n6),succ(n6))) = esk10_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,17038,theory(equality)]) ).
cnf(17040,plain,
( sum(sum(pred(esk7_0),succ(n6)),sum(pred(n6),succ(esk7_0))) = esk9_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,17038,theory(equality)]) ).
cnf(17041,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n1) = esk10_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17039,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(17042,plain,
( sum(sum(pred(esk7_0),n7),sum(n5,succ(esk7_0))) = esk9_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17040,218,theory(equality)]),207,theory(equality)]) ).
cnf(17047,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17028,17032,theory(equality)]) ).
cnf(17048,plain,
( n6 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17047,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(17051,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17041,17048,theory(equality)]) ).
cnf(17054,plain,
( n2 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17051,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(17055,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n2),succ(n2))) = esk12_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,17054,theory(equality)]) ).
cnf(17056,plain,
( sum(sum(pred(esk9_0),succ(n2)),sum(pred(n2),succ(esk9_0))) = esk11_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,17054,theory(equality)]) ).
cnf(17057,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n4) = esk12_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17055,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(17058,plain,
( sum(sum(pred(esk9_0),n3),sum(n1,succ(esk9_0))) = esk11_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17056,222,theory(equality)]),211,theory(equality)]) ).
cnf(17063,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17042,17048,theory(equality)]) ).
cnf(17064,plain,
( n2 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17063,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(17067,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17057,17064,theory(equality)]) ).
cnf(17070,plain,
( n8 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17067,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17071,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n8),succ(n8))) = esk14_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,17070,theory(equality)]) ).
cnf(17072,plain,
( sum(sum(pred(esk11_0),succ(n8)),sum(pred(n8),succ(esk11_0))) = esk13_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,17070,theory(equality)]) ).
cnf(17073,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n5) = esk14_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17071,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(17074,plain,
( sum(sum(pred(esk11_0),n9),sum(n7,succ(esk11_0))) = esk13_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17072,216,theory(equality)]),205,theory(equality)]) ).
cnf(17079,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17058,17064,theory(equality)]) ).
cnf(17080,plain,
( n8 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17079,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17083,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17073,17080,theory(equality)]) ).
cnf(17086,plain,
( n10 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17083,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(17087,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n10),succ(n10))) = esk16_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,17086,theory(equality)]) ).
cnf(17088,plain,
( sum(sum(pred(esk13_0),succ(n10)),sum(pred(n10),succ(esk13_0))) = esk15_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,17086,theory(equality)]) ).
cnf(17089,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n9) = esk16_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17087,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(17090,plain,
( sum(sum(pred(esk13_0),n0),sum(n9,succ(esk13_0))) = esk15_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17088,214,theory(equality)]),203,theory(equality)]) ).
cnf(17095,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17074,17080,theory(equality)]) ).
cnf(17096,plain,
( n10 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17095,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(17099,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17089,17096,theory(equality)]) ).
cnf(17102,plain,
( n7 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17099,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17103,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n7),succ(n7))) = esk18_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,17102,theory(equality)]) ).
cnf(17104,plain,
( sum(sum(pred(esk15_0),succ(n7)),sum(pred(n7),succ(esk15_0))) = esk17_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,17102,theory(equality)]) ).
cnf(17105,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n3) = esk18_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17103,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(17106,plain,
( sum(sum(pred(esk15_0),n8),sum(n6,succ(esk15_0))) = esk17_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17104,217,theory(equality)]),206,theory(equality)]) ).
cnf(17111,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17090,17096,theory(equality)]) ).
cnf(17112,plain,
( n7 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17111,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17115,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17105,17112,theory(equality)]) ).
cnf(17118,plain,
( n6 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17115,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(17119,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n6),succ(n6))) = esk20_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,17118,theory(equality)]) ).
cnf(17120,plain,
( sum(sum(pred(esk17_0),succ(n6)),sum(pred(n6),succ(esk17_0))) = esk19_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,17118,theory(equality)]) ).
cnf(17121,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n1) = esk20_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17119,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(17122,plain,
( sum(sum(pred(esk17_0),n7),sum(n5,succ(esk17_0))) = esk19_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17120,218,theory(equality)]),207,theory(equality)]) ).
cnf(17127,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17106,17112,theory(equality)]) ).
cnf(17128,plain,
( n6 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17127,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(17131,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17121,17128,theory(equality)]) ).
cnf(17134,plain,
( n2 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17131,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(17135,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n2),succ(n2))) = esk22_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,17134,theory(equality)]) ).
cnf(17136,plain,
( sum(sum(pred(esk19_0),succ(n2)),sum(pred(n2),succ(esk19_0))) = esk21_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,17134,theory(equality)]) ).
cnf(17137,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n4) = esk22_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17135,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(17138,plain,
( sum(sum(pred(esk19_0),n3),sum(n1,succ(esk19_0))) = esk21_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17136,222,theory(equality)]),211,theory(equality)]) ).
cnf(17143,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17122,17128,theory(equality)]) ).
cnf(17144,plain,
( n2 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17143,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(17149,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17137,17144,theory(equality)]) ).
cnf(17152,plain,
( n8 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17149,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17155,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[17138,17144,theory(equality)]) ).
cnf(17156,plain,
( n8 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17155,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17157,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n8 != esk22_0 ),
inference(spm,[status(thm)],[59,17156,theory(equality)]) ).
cnf(17160,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[17157,17152]) ).
cnf(17161,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n2 != esk20_0 ),
inference(spm,[status(thm)],[17160,17144,theory(equality)]) ).
cnf(17162,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[17161,17134]) ).
cnf(17163,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n6 != esk18_0 ),
inference(spm,[status(thm)],[17162,17128,theory(equality)]) ).
cnf(17164,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[17163,17118]) ).
cnf(17165,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n7 != esk16_0 ),
inference(spm,[status(thm)],[17164,17112,theory(equality)]) ).
cnf(17166,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[17165,17102]) ).
cnf(17167,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n10 != esk14_0 ),
inference(spm,[status(thm)],[17166,17096,theory(equality)]) ).
cnf(17168,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[17167,17086]) ).
cnf(17169,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n8 != esk12_0 ),
inference(spm,[status(thm)],[17168,17080,theory(equality)]) ).
cnf(17170,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[17169,17070]) ).
cnf(17171,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n2 != esk10_0 ),
inference(spm,[status(thm)],[17170,17064,theory(equality)]) ).
cnf(17172,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[17171,17054]) ).
cnf(17173,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n6 != esk8_0 ),
inference(spm,[status(thm)],[17172,17048,theory(equality)]) ).
cnf(17174,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[17173,17038]) ).
cnf(17175,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n7 != esk6_0 ),
inference(spm,[status(thm)],[17174,17032,theory(equality)]) ).
cnf(17176,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[17175,17019]) ).
cnf(17177,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| n10 != esk4_0 ),
inference(spm,[status(thm)],[17176,17004,theory(equality)]) ).
cnf(17178,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(csr,[status(thm)],[17177,17003]) ).
cnf(17181,plain,
( sum(sum(pred(n3),succ(n3)),sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[78,17178,theory(equality)]) ).
cnf(17182,plain,
( sum(sum(pred(n3),succ(esk2_0)),sum(pred(esk2_0),succ(n3))) = esk3_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[79,17178,theory(equality)]) ).
cnf(17183,plain,
( sum(sum(pred(n3),succ(n3)),n0) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[248,17178,theory(equality)]) ).
cnf(17184,plain,
( sum(sum(pred(n3),n1),sum(n10,succ(n3))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[252,17178,theory(equality)]) ).
cnf(17185,plain,
( sum(n6,sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17181,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(17186,plain,
( sum(sum(n2,succ(esk2_0)),sum(pred(esk2_0),n4)) = esk3_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17182,210,theory(equality)]),221,theory(equality)]) ).
cnf(17187,plain,
( n6 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17183,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),136,theory(equality)]) ).
cnf(17188,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17184,210,theory(equality)]),179,theory(equality)]),221,theory(equality)]),88,theory(equality)]),166,theory(equality)]) ).
cnf(17191,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n6),succ(n6))) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,17187,theory(equality)]) ).
cnf(17192,plain,
( sum(sum(pred(esk3_0),succ(n6)),sum(pred(n6),succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,17187,theory(equality)]) ).
cnf(17193,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n1) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17191,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(17194,plain,
( sum(sum(pred(esk3_0),n7),sum(n5,succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17192,218,theory(equality)]),207,theory(equality)]) ).
cnf(17201,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17193,17188,theory(equality)]) ).
cnf(17202,plain,
( n2 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17201,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(17203,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n2),succ(n2))) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,17202,theory(equality)]) ).
cnf(17204,plain,
( sum(sum(pred(esk5_0),succ(n2)),sum(pred(n2),succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,17202,theory(equality)]) ).
cnf(17205,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n4) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17203,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(17206,plain,
( sum(sum(pred(esk5_0),n3),sum(n1,succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17204,222,theory(equality)]),211,theory(equality)]) ).
cnf(17209,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17194,17188,theory(equality)]) ).
cnf(17210,plain,
( n2 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17209,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(17213,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17205,17210,theory(equality)]) ).
cnf(17216,plain,
( n8 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17213,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17217,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n8),succ(n8))) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,17216,theory(equality)]) ).
cnf(17218,plain,
( sum(sum(pred(esk7_0),succ(n8)),sum(pred(n8),succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,17216,theory(equality)]) ).
cnf(17219,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n5) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17217,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(17220,plain,
( sum(sum(pred(esk7_0),n9),sum(n7,succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17218,216,theory(equality)]),205,theory(equality)]) ).
cnf(17225,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17206,17210,theory(equality)]) ).
cnf(17226,plain,
( n8 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17225,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17229,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17219,17226,theory(equality)]) ).
cnf(17232,plain,
( n10 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17229,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(17233,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n10),succ(n10))) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,17232,theory(equality)]) ).
cnf(17234,plain,
( sum(sum(pred(esk9_0),succ(n10)),sum(pred(n10),succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,17232,theory(equality)]) ).
cnf(17235,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n9) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17233,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(17236,plain,
( sum(sum(pred(esk9_0),n0),sum(n9,succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17234,214,theory(equality)]),203,theory(equality)]) ).
cnf(17241,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17220,17226,theory(equality)]) ).
cnf(17242,plain,
( n10 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17241,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(17245,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17235,17242,theory(equality)]) ).
cnf(17248,plain,
( n7 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17245,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17249,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n7),succ(n7))) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,17248,theory(equality)]) ).
cnf(17250,plain,
( sum(sum(pred(esk11_0),succ(n7)),sum(pred(n7),succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,17248,theory(equality)]) ).
cnf(17251,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n3) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17249,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(17252,plain,
( sum(sum(pred(esk11_0),n8),sum(n6,succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17250,217,theory(equality)]),206,theory(equality)]) ).
cnf(17257,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17236,17242,theory(equality)]) ).
cnf(17258,plain,
( n7 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17257,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17261,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17251,17258,theory(equality)]) ).
cnf(17264,plain,
( n6 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17261,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(17265,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n6),succ(n6))) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,17264,theory(equality)]) ).
cnf(17266,plain,
( sum(sum(pred(esk13_0),succ(n6)),sum(pred(n6),succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,17264,theory(equality)]) ).
cnf(17267,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n1) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17265,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(17268,plain,
( sum(sum(pred(esk13_0),n7),sum(n5,succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17266,218,theory(equality)]),207,theory(equality)]) ).
cnf(17273,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17252,17258,theory(equality)]) ).
cnf(17274,plain,
( n6 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17273,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(17277,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17267,17274,theory(equality)]) ).
cnf(17280,plain,
( n2 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17277,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(17281,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n2),succ(n2))) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,17280,theory(equality)]) ).
cnf(17282,plain,
( sum(sum(pred(esk15_0),succ(n2)),sum(pred(n2),succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,17280,theory(equality)]) ).
cnf(17283,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n4) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17281,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(17284,plain,
( sum(sum(pred(esk15_0),n3),sum(n1,succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17282,222,theory(equality)]),211,theory(equality)]) ).
cnf(17289,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17268,17274,theory(equality)]) ).
cnf(17290,plain,
( n2 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17289,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(17293,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17283,17290,theory(equality)]) ).
cnf(17296,plain,
( n8 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17293,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17297,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n8),succ(n8))) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,17296,theory(equality)]) ).
cnf(17298,plain,
( sum(sum(pred(esk17_0),succ(n8)),sum(pred(n8),succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,17296,theory(equality)]) ).
cnf(17299,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n5) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17297,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(17300,plain,
( sum(sum(pred(esk17_0),n9),sum(n7,succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17298,216,theory(equality)]),205,theory(equality)]) ).
cnf(17305,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17284,17290,theory(equality)]) ).
cnf(17306,plain,
( n8 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17305,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17309,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17299,17306,theory(equality)]) ).
cnf(17312,plain,
( n10 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17309,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(17313,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n10),succ(n10))) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,17312,theory(equality)]) ).
cnf(17314,plain,
( sum(sum(pred(esk19_0),succ(n10)),sum(pred(n10),succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,17312,theory(equality)]) ).
cnf(17315,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n9) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17313,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(17316,plain,
( sum(sum(pred(esk19_0),n0),sum(n9,succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17314,214,theory(equality)]),203,theory(equality)]) ).
cnf(17321,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17300,17306,theory(equality)]) ).
cnf(17322,plain,
( n10 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17321,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(17327,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17315,17322,theory(equality)]) ).
cnf(17330,plain,
( n7 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17327,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17333,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[17316,17322,theory(equality)]) ).
cnf(17334,plain,
( n7 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17333,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17335,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n7 != esk22_0 ),
inference(spm,[status(thm)],[59,17334,theory(equality)]) ).
cnf(17338,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[17335,17330]) ).
cnf(17339,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n10 != esk20_0 ),
inference(spm,[status(thm)],[17338,17322,theory(equality)]) ).
cnf(17340,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[17339,17312]) ).
cnf(17341,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n8 != esk18_0 ),
inference(spm,[status(thm)],[17340,17306,theory(equality)]) ).
cnf(17342,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[17341,17296]) ).
cnf(17343,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n2 != esk16_0 ),
inference(spm,[status(thm)],[17342,17290,theory(equality)]) ).
cnf(17344,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[17343,17280]) ).
cnf(17345,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n6 != esk14_0 ),
inference(spm,[status(thm)],[17344,17274,theory(equality)]) ).
cnf(17346,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[17345,17264]) ).
cnf(17347,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n7 != esk12_0 ),
inference(spm,[status(thm)],[17346,17258,theory(equality)]) ).
cnf(17348,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[17347,17248]) ).
cnf(17349,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n10 != esk10_0 ),
inference(spm,[status(thm)],[17348,17242,theory(equality)]) ).
cnf(17350,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[17349,17232]) ).
cnf(17351,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n8 != esk8_0 ),
inference(spm,[status(thm)],[17350,17226,theory(equality)]) ).
cnf(17352,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[17351,17216]) ).
cnf(17353,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n2 != esk6_0 ),
inference(spm,[status(thm)],[17352,17210,theory(equality)]) ).
cnf(17354,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[17353,17202]) ).
cnf(17355,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1
| n6 != esk4_0 ),
inference(spm,[status(thm)],[17354,17188,theory(equality)]) ).
cnf(17356,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(csr,[status(thm)],[17355,17187]) ).
cnf(17368,plain,
( sum(n6,sum(pred(n10),succ(n10))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17185,17356,theory(equality)]) ).
cnf(17369,plain,
( sum(sum(n2,succ(n10)),sum(pred(n10),n4)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17186,17356,theory(equality)]) ).
cnf(17372,plain,
( n4 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17368,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),127,theory(equality)]) ).
cnf(17373,plain,
( n4 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17369,214,theory(equality)]),180,theory(equality)]),203,theory(equality)]),99,theory(equality)]),178,theory(equality)]) ).
cnf(17374,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n4),succ(n4))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,17372,theory(equality)]) ).
cnf(17375,plain,
( sum(sum(pred(esk3_0),succ(n4)),sum(pred(n4),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,17372,theory(equality)]) ).
cnf(17376,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n8) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17374,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(17377,plain,
( sum(sum(pred(esk3_0),n5),sum(n3,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17375,220,theory(equality)]),209,theory(equality)]) ).
cnf(17386,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17376,17373,theory(equality)]) ).
cnf(17387,plain,
( n5 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17386,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(17388,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n5),succ(n5))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,17387,theory(equality)]) ).
cnf(17389,plain,
( sum(sum(pred(esk5_0),succ(n5)),sum(pred(n5),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,17387,theory(equality)]) ).
cnf(17390,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n10) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17388,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(17391,plain,
( sum(sum(pred(esk5_0),n6),sum(n4,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17389,219,theory(equality)]),208,theory(equality)]) ).
cnf(17398,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17377,17373,theory(equality)]) ).
cnf(17399,plain,
( n5 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17398,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(17402,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17390,17399,theory(equality)]) ).
cnf(17405,plain,
( n9 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17402,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(17406,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n9),succ(n9))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,17405,theory(equality)]) ).
cnf(17407,plain,
( sum(sum(pred(esk7_0),succ(n9)),sum(pred(n9),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,17405,theory(equality)]) ).
cnf(17408,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n7) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17406,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(17409,plain,
( sum(sum(pred(esk7_0),n10),sum(n8,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17407,215,theory(equality)]),204,theory(equality)]) ).
cnf(17414,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17391,17399,theory(equality)]) ).
cnf(17415,plain,
( n9 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17414,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(17418,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17408,17415,theory(equality)]) ).
cnf(17421,plain,
( n3 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17418,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(17422,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n3),succ(n3))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,17421,theory(equality)]) ).
cnf(17423,plain,
( sum(sum(pred(esk9_0),succ(n3)),sum(pred(n3),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,17421,theory(equality)]) ).
cnf(17424,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n6) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17422,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(17425,plain,
( sum(sum(pred(esk9_0),n4),sum(n2,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17423,221,theory(equality)]),210,theory(equality)]) ).
cnf(17430,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17409,17415,theory(equality)]) ).
cnf(17431,plain,
( n3 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17430,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(17434,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17424,17431,theory(equality)]) ).
cnf(17437,plain,
( n1 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17434,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(17438,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n1),succ(n1))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,17437,theory(equality)]) ).
cnf(17439,plain,
( sum(sum(pred(esk11_0),succ(n1)),sum(pred(n1),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,17437,theory(equality)]) ).
cnf(17440,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n2) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17438,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(17441,plain,
( sum(sum(pred(esk11_0),n2),sum(n0,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17439,223,theory(equality)]),212,theory(equality)]) ).
cnf(17446,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17425,17431,theory(equality)]) ).
cnf(17447,plain,
( n1 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17446,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(17450,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17440,17447,theory(equality)]) ).
cnf(17453,plain,
( n4 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17450,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(17454,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n4),succ(n4))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,17453,theory(equality)]) ).
cnf(17455,plain,
( sum(sum(pred(esk13_0),succ(n4)),sum(pred(n4),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,17453,theory(equality)]) ).
cnf(17456,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n8) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17454,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(17457,plain,
( sum(sum(pred(esk13_0),n5),sum(n3,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17455,220,theory(equality)]),209,theory(equality)]) ).
cnf(17462,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17441,17447,theory(equality)]) ).
cnf(17463,plain,
( n4 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17462,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(17466,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17456,17463,theory(equality)]) ).
cnf(17469,plain,
( n5 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17466,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(17470,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n5),succ(n5))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,17469,theory(equality)]) ).
cnf(17471,plain,
( sum(sum(pred(esk15_0),succ(n5)),sum(pred(n5),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,17469,theory(equality)]) ).
cnf(17472,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n10) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17470,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(17473,plain,
( sum(sum(pred(esk15_0),n6),sum(n4,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17471,219,theory(equality)]),208,theory(equality)]) ).
cnf(17478,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17457,17463,theory(equality)]) ).
cnf(17479,plain,
( n5 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17478,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(17484,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17472,17479,theory(equality)]) ).
cnf(17487,plain,
( n9 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17484,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(17488,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n9),succ(n9))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,17487,theory(equality)]) ).
cnf(17489,plain,
( sum(sum(pred(esk17_0),succ(n9)),sum(pred(n9),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,17487,theory(equality)]) ).
cnf(17490,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n7) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17488,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(17491,plain,
( sum(sum(pred(esk17_0),n10),sum(n8,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17489,215,theory(equality)]),204,theory(equality)]) ).
cnf(17494,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17473,17479,theory(equality)]) ).
cnf(17495,plain,
( n9 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17494,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(17498,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17490,17495,theory(equality)]) ).
cnf(17501,plain,
( n3 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17498,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(17504,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n3),succ(n3))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,17501,theory(equality)]) ).
cnf(17505,plain,
( sum(sum(pred(esk19_0),succ(n3)),sum(pred(n3),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,17501,theory(equality)]) ).
cnf(17506,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n6) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17504,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(17507,plain,
( sum(sum(pred(esk19_0),n4),sum(n2,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17505,221,theory(equality)]),210,theory(equality)]) ).
cnf(17510,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17491,17495,theory(equality)]) ).
cnf(17511,plain,
( n3 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17510,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(17514,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17506,17511,theory(equality)]) ).
cnf(17517,plain,
( n1 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17514,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(17522,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17507,17511,theory(equality)]) ).
cnf(17523,plain,
( n1 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17522,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(17524,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n1 != esk22_0 ),
inference(spm,[status(thm)],[59,17523,theory(equality)]) ).
cnf(17525,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[17524,17517]) ).
cnf(17526,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n3 != esk20_0 ),
inference(spm,[status(thm)],[17525,17511,theory(equality)]) ).
cnf(17527,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[17526,17501]) ).
cnf(17528,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n9 != esk18_0 ),
inference(spm,[status(thm)],[17527,17495,theory(equality)]) ).
cnf(17531,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[17528,17487]) ).
cnf(17532,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n5 != esk16_0 ),
inference(spm,[status(thm)],[17531,17479,theory(equality)]) ).
cnf(17533,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[17532,17469]) ).
cnf(17534,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n4 != esk14_0 ),
inference(spm,[status(thm)],[17533,17463,theory(equality)]) ).
cnf(17535,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[17534,17453]) ).
cnf(17536,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n1 != esk12_0 ),
inference(spm,[status(thm)],[17535,17447,theory(equality)]) ).
cnf(17537,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[17536,17437]) ).
cnf(17538,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n3 != esk10_0 ),
inference(spm,[status(thm)],[17537,17431,theory(equality)]) ).
cnf(17539,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[17538,17421]) ).
cnf(17540,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n9 != esk8_0 ),
inference(spm,[status(thm)],[17539,17415,theory(equality)]) ).
cnf(17541,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[17540,17405]) ).
cnf(17542,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n5 != esk6_0 ),
inference(spm,[status(thm)],[17541,17399,theory(equality)]) ).
cnf(17543,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[17542,17387]) ).
cnf(17544,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n4 != esk4_0 ),
inference(spm,[status(thm)],[17543,17373,theory(equality)]) ).
cnf(17545,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[17544,17372]) ).
cnf(17556,plain,
( sum(n6,sum(pred(n9),succ(n9))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17185,17545,theory(equality)]) ).
cnf(17557,plain,
( sum(sum(n2,succ(n9)),sum(pred(n9),n4)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17186,17545,theory(equality)]) ).
cnf(17560,plain,
( n2 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17556,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),129,theory(equality)]) ).
cnf(17561,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17557,215,theory(equality)]),170,theory(equality)]),204,theory(equality)]),110,theory(equality)]),190,theory(equality)]) ).
cnf(17562,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n2),succ(n2))) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,17560,theory(equality)]) ).
cnf(17563,plain,
( sum(sum(pred(esk3_0),succ(n2)),sum(pred(n2),succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,17560,theory(equality)]) ).
cnf(17564,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n4) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17562,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(17565,plain,
( sum(sum(pred(esk3_0),n3),sum(n1,succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17563,222,theory(equality)]),211,theory(equality)]) ).
cnf(17574,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17564,17561,theory(equality)]) ).
cnf(17575,plain,
( n8 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17574,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17576,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n8),succ(n8))) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,17575,theory(equality)]) ).
cnf(17577,plain,
( sum(sum(pred(esk5_0),succ(n8)),sum(pred(n8),succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,17575,theory(equality)]) ).
cnf(17578,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n5) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17576,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(17579,plain,
( sum(sum(pred(esk5_0),n9),sum(n7,succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17577,216,theory(equality)]),205,theory(equality)]) ).
cnf(17586,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17565,17561,theory(equality)]) ).
cnf(17587,plain,
( n8 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17586,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17590,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17578,17587,theory(equality)]) ).
cnf(17593,plain,
( n10 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17590,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(17594,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n10),succ(n10))) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,17593,theory(equality)]) ).
cnf(17595,plain,
( sum(sum(pred(esk7_0),succ(n10)),sum(pred(n10),succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,17593,theory(equality)]) ).
cnf(17596,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n9) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17594,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(17597,plain,
( sum(sum(pred(esk7_0),n0),sum(n9,succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17595,214,theory(equality)]),203,theory(equality)]) ).
cnf(17602,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17579,17587,theory(equality)]) ).
cnf(17603,plain,
( n10 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17602,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(17606,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17596,17603,theory(equality)]) ).
cnf(17609,plain,
( n7 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17606,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17610,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n7),succ(n7))) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,17609,theory(equality)]) ).
cnf(17611,plain,
( sum(sum(pred(esk9_0),succ(n7)),sum(pred(n7),succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,17609,theory(equality)]) ).
cnf(17612,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n3) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17610,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(17613,plain,
( sum(sum(pred(esk9_0),n8),sum(n6,succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17611,217,theory(equality)]),206,theory(equality)]) ).
cnf(17618,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17597,17603,theory(equality)]) ).
cnf(17619,plain,
( n7 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17618,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17624,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17612,17619,theory(equality)]) ).
cnf(17627,plain,
( n6 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17624,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(17628,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n6),succ(n6))) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,17627,theory(equality)]) ).
cnf(17629,plain,
( sum(sum(pred(esk11_0),succ(n6)),sum(pred(n6),succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,17627,theory(equality)]) ).
cnf(17630,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n1) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17628,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(17631,plain,
( sum(sum(pred(esk11_0),n7),sum(n5,succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17629,218,theory(equality)]),207,theory(equality)]) ).
cnf(17634,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17613,17619,theory(equality)]) ).
cnf(17635,plain,
( n6 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17634,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(17638,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17630,17635,theory(equality)]) ).
cnf(17641,plain,
( n2 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17638,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(17644,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n2),succ(n2))) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,17641,theory(equality)]) ).
cnf(17645,plain,
( sum(sum(pred(esk13_0),succ(n2)),sum(pred(n2),succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,17641,theory(equality)]) ).
cnf(17646,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n4) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17644,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(17647,plain,
( sum(sum(pred(esk13_0),n3),sum(n1,succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17645,222,theory(equality)]),211,theory(equality)]) ).
cnf(17650,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17631,17635,theory(equality)]) ).
cnf(17651,plain,
( n2 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17650,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(17654,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17646,17651,theory(equality)]) ).
cnf(17657,plain,
( n8 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17654,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17658,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n8),succ(n8))) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,17657,theory(equality)]) ).
cnf(17659,plain,
( sum(sum(pred(esk15_0),succ(n8)),sum(pred(n8),succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,17657,theory(equality)]) ).
cnf(17660,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n5) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17658,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(17661,plain,
( sum(sum(pred(esk15_0),n9),sum(n7,succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17659,216,theory(equality)]),205,theory(equality)]) ).
cnf(17666,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17647,17651,theory(equality)]) ).
cnf(17667,plain,
( n8 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17666,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(17670,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17660,17667,theory(equality)]) ).
cnf(17673,plain,
( n10 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17670,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(17674,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n10),succ(n10))) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,17673,theory(equality)]) ).
cnf(17675,plain,
( sum(sum(pred(esk17_0),succ(n10)),sum(pred(n10),succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,17673,theory(equality)]) ).
cnf(17676,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n9) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17674,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(17677,plain,
( sum(sum(pred(esk17_0),n0),sum(n9,succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17675,214,theory(equality)]),203,theory(equality)]) ).
cnf(17682,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17661,17667,theory(equality)]) ).
cnf(17683,plain,
( n10 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17682,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(17686,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17676,17683,theory(equality)]) ).
cnf(17689,plain,
( n7 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17686,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17690,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n7),succ(n7))) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,17689,theory(equality)]) ).
cnf(17691,plain,
( sum(sum(pred(esk19_0),succ(n7)),sum(pred(n7),succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,17689,theory(equality)]) ).
cnf(17692,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n3) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17690,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(17693,plain,
( sum(sum(pred(esk19_0),n8),sum(n6,succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17691,217,theory(equality)]),206,theory(equality)]) ).
cnf(17698,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17677,17683,theory(equality)]) ).
cnf(17699,plain,
( n7 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17698,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(17702,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17692,17699,theory(equality)]) ).
cnf(17705,plain,
( n6 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17702,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(17710,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[17693,17699,theory(equality)]) ).
cnf(17711,plain,
( n6 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17710,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(17712,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n6 != esk22_0 ),
inference(spm,[status(thm)],[59,17711,theory(equality)]) ).
cnf(17715,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[17712,17705]) ).
cnf(17716,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n7 != esk20_0 ),
inference(spm,[status(thm)],[17715,17699,theory(equality)]) ).
cnf(17717,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[17716,17689]) ).
cnf(17718,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n10 != esk18_0 ),
inference(spm,[status(thm)],[17717,17683,theory(equality)]) ).
cnf(17719,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[17718,17673]) ).
cnf(17720,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n8 != esk16_0 ),
inference(spm,[status(thm)],[17719,17667,theory(equality)]) ).
cnf(17721,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[17720,17657]) ).
cnf(17722,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n2 != esk14_0 ),
inference(spm,[status(thm)],[17721,17651,theory(equality)]) ).
cnf(17723,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[17722,17641]) ).
cnf(17724,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n6 != esk12_0 ),
inference(spm,[status(thm)],[17723,17635,theory(equality)]) ).
cnf(17725,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[17724,17627]) ).
cnf(17726,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n7 != esk10_0 ),
inference(spm,[status(thm)],[17725,17619,theory(equality)]) ).
cnf(17727,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[17726,17609]) ).
cnf(17728,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n10 != esk8_0 ),
inference(spm,[status(thm)],[17727,17603,theory(equality)]) ).
cnf(17729,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[17728,17593]) ).
cnf(17730,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n8 != esk6_0 ),
inference(spm,[status(thm)],[17729,17587,theory(equality)]) ).
cnf(17731,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[17730,17575]) ).
cnf(17732,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n2 != esk4_0 ),
inference(spm,[status(thm)],[17731,17561,theory(equality)]) ).
cnf(17733,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(csr,[status(thm)],[17732,17560]) ).
cnf(17743,plain,
( sum(n6,sum(pred(n8),succ(n8))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17185,17733,theory(equality)]) ).
cnf(17744,plain,
( sum(sum(n2,succ(n8)),sum(pred(n8),n4)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17186,17733,theory(equality)]) ).
cnf(17747,plain,
( n0 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17743,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),131,theory(equality)]) ).
cnf(17748,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17744,216,theory(equality)]),171,theory(equality)]),205,theory(equality)]),121,theory(equality)]),202,theory(equality)]) ).
cnf(17749,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n0),succ(n0))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,17747,theory(equality)]) ).
cnf(17750,plain,
( sum(sum(pred(esk3_0),succ(n0)),sum(pred(n0),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,17747,theory(equality)]) ).
cnf(17751,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n0) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17749,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(17752,plain,
( sum(sum(pred(esk3_0),n1),sum(n10,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17750,224,theory(equality)]),213,theory(equality)]) ).
cnf(17761,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17751,17748,theory(equality)]) ).
cnf(17762,plain,
( n0 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17761,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17767,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n0),succ(n0))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,17762,theory(equality)]) ).
cnf(17768,plain,
( sum(sum(pred(esk5_0),succ(n0)),sum(pred(n0),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,17762,theory(equality)]) ).
cnf(17769,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n0) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17767,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(17770,plain,
( sum(sum(pred(esk5_0),n1),sum(n10,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17768,224,theory(equality)]),213,theory(equality)]) ).
cnf(17773,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17752,17748,theory(equality)]) ).
cnf(17774,plain,
( n0 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17773,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17777,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17769,17774,theory(equality)]) ).
cnf(17780,plain,
( n0 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17777,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17781,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n0),succ(n0))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,17780,theory(equality)]) ).
cnf(17782,plain,
( sum(sum(pred(esk7_0),succ(n0)),sum(pred(n0),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,17780,theory(equality)]) ).
cnf(17783,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n0) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17781,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(17784,plain,
( sum(sum(pred(esk7_0),n1),sum(n10,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17782,224,theory(equality)]),213,theory(equality)]) ).
cnf(17789,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17770,17774,theory(equality)]) ).
cnf(17790,plain,
( n0 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17789,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17793,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17783,17790,theory(equality)]) ).
cnf(17796,plain,
( n0 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17793,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17797,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n0),succ(n0))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,17796,theory(equality)]) ).
cnf(17798,plain,
( sum(sum(pred(esk9_0),succ(n0)),sum(pred(n0),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,17796,theory(equality)]) ).
cnf(17799,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n0) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17797,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(17800,plain,
( sum(sum(pred(esk9_0),n1),sum(n10,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17798,224,theory(equality)]),213,theory(equality)]) ).
cnf(17805,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17784,17790,theory(equality)]) ).
cnf(17806,plain,
( n0 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17805,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17809,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17799,17806,theory(equality)]) ).
cnf(17812,plain,
( n0 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17809,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17813,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n0),succ(n0))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,17812,theory(equality)]) ).
cnf(17814,plain,
( sum(sum(pred(esk11_0),succ(n0)),sum(pred(n0),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,17812,theory(equality)]) ).
cnf(17815,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n0) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17813,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(17816,plain,
( sum(sum(pred(esk11_0),n1),sum(n10,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17814,224,theory(equality)]),213,theory(equality)]) ).
cnf(17821,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17800,17806,theory(equality)]) ).
cnf(17822,plain,
( n0 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17821,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17825,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17815,17822,theory(equality)]) ).
cnf(17828,plain,
( n0 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17825,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17829,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n0),succ(n0))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,17828,theory(equality)]) ).
cnf(17830,plain,
( sum(sum(pred(esk13_0),succ(n0)),sum(pred(n0),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,17828,theory(equality)]) ).
cnf(17831,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n0) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17829,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(17832,plain,
( sum(sum(pred(esk13_0),n1),sum(n10,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17830,224,theory(equality)]),213,theory(equality)]) ).
cnf(17837,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17816,17822,theory(equality)]) ).
cnf(17838,plain,
( n0 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17837,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17841,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17831,17838,theory(equality)]) ).
cnf(17844,plain,
( n0 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17841,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17845,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n0),succ(n0))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,17844,theory(equality)]) ).
cnf(17846,plain,
( sum(sum(pred(esk15_0),succ(n0)),sum(pred(n0),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,17844,theory(equality)]) ).
cnf(17847,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n0) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17845,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(17848,plain,
( sum(sum(pred(esk15_0),n1),sum(n10,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17846,224,theory(equality)]),213,theory(equality)]) ).
cnf(17853,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17832,17838,theory(equality)]) ).
cnf(17854,plain,
( n0 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17853,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17857,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17847,17854,theory(equality)]) ).
cnf(17860,plain,
( n0 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17857,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17861,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n0),succ(n0))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,17860,theory(equality)]) ).
cnf(17862,plain,
( sum(sum(pred(esk17_0),succ(n0)),sum(pred(n0),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,17860,theory(equality)]) ).
cnf(17863,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n0) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17861,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(17864,plain,
( sum(sum(pred(esk17_0),n1),sum(n10,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17862,224,theory(equality)]),213,theory(equality)]) ).
cnf(17869,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17848,17854,theory(equality)]) ).
cnf(17870,plain,
( n0 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17869,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17873,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17863,17870,theory(equality)]) ).
cnf(17876,plain,
( n0 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17873,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17877,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n0),succ(n0))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,17876,theory(equality)]) ).
cnf(17878,plain,
( sum(sum(pred(esk19_0),succ(n0)),sum(pred(n0),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,17876,theory(equality)]) ).
cnf(17879,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n0) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17877,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(17880,plain,
( sum(sum(pred(esk19_0),n1),sum(n10,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17878,224,theory(equality)]),213,theory(equality)]) ).
cnf(17885,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17864,17870,theory(equality)]) ).
cnf(17886,plain,
( n0 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17885,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17891,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17879,17886,theory(equality)]) ).
cnf(17894,plain,
( n0 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17891,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17897,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17880,17886,theory(equality)]) ).
cnf(17898,plain,
( n0 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17897,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(17899,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n0 != esk22_0 ),
inference(spm,[status(thm)],[59,17898,theory(equality)]) ).
cnf(17902,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[17899,17894]) ).
cnf(17903,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n0 != esk20_0 ),
inference(spm,[status(thm)],[17902,17886,theory(equality)]) ).
cnf(17904,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[17903,17876]) ).
cnf(17905,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n0 != esk18_0 ),
inference(spm,[status(thm)],[17904,17870,theory(equality)]) ).
cnf(17906,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[17905,17860]) ).
cnf(17907,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n0 != esk16_0 ),
inference(spm,[status(thm)],[17906,17854,theory(equality)]) ).
cnf(17908,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[17907,17844]) ).
cnf(17909,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n0 != esk14_0 ),
inference(spm,[status(thm)],[17908,17838,theory(equality)]) ).
cnf(17910,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[17909,17828]) ).
cnf(17911,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n0 != esk12_0 ),
inference(spm,[status(thm)],[17910,17822,theory(equality)]) ).
cnf(17912,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[17911,17812]) ).
cnf(17913,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n0 != esk10_0 ),
inference(spm,[status(thm)],[17912,17806,theory(equality)]) ).
cnf(17914,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[17913,17796]) ).
cnf(17915,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n0 != esk8_0 ),
inference(spm,[status(thm)],[17914,17790,theory(equality)]) ).
cnf(17916,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[17915,17780]) ).
cnf(17917,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n0 != esk6_0 ),
inference(spm,[status(thm)],[17916,17774,theory(equality)]) ).
cnf(17918,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[17917,17762]) ).
cnf(17919,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != esk4_0 ),
inference(spm,[status(thm)],[17918,17748,theory(equality)]) ).
cnf(17920,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[17919,17747]) ).
cnf(17929,plain,
( sum(n6,sum(pred(n7),succ(n7))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[17185,17920,theory(equality)]) ).
cnf(17930,plain,
( sum(sum(n2,succ(n7)),sum(pred(n7),n4)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[17186,17920,theory(equality)]) ).
cnf(17933,plain,
( n9 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17929,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),133,theory(equality)]) ).
cnf(17934,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17930,217,theory(equality)]),172,theory(equality)]),206,theory(equality)]),132,theory(equality)]),82,theory(equality)]) ).
cnf(17935,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n9),succ(n9))) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,17933,theory(equality)]) ).
cnf(17936,plain,
( sum(sum(pred(esk3_0),succ(n9)),sum(pred(n9),succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,17933,theory(equality)]) ).
cnf(17937,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n7) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17935,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(17938,plain,
( sum(sum(pred(esk3_0),n10),sum(n8,succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17936,215,theory(equality)]),204,theory(equality)]) ).
cnf(17947,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[17937,17934,theory(equality)]) ).
cnf(17948,plain,
( n3 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17947,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(17949,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n3),succ(n3))) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,17948,theory(equality)]) ).
cnf(17950,plain,
( sum(sum(pred(esk5_0),succ(n3)),sum(pred(n3),succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,17948,theory(equality)]) ).
cnf(17951,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n6) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17949,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(17952,plain,
( sum(sum(pred(esk5_0),n4),sum(n2,succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17950,221,theory(equality)]),210,theory(equality)]) ).
cnf(17959,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[17938,17934,theory(equality)]) ).
cnf(17960,plain,
( n3 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17959,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(17963,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[17951,17960,theory(equality)]) ).
cnf(17966,plain,
( n1 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17963,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(17967,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n1),succ(n1))) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,17966,theory(equality)]) ).
cnf(17968,plain,
( sum(sum(pred(esk7_0),succ(n1)),sum(pred(n1),succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,17966,theory(equality)]) ).
cnf(17969,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n2) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17967,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(17970,plain,
( sum(sum(pred(esk7_0),n2),sum(n0,succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17968,223,theory(equality)]),212,theory(equality)]) ).
cnf(17975,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[17952,17960,theory(equality)]) ).
cnf(17976,plain,
( n1 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17975,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(17979,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[17969,17976,theory(equality)]) ).
cnf(17982,plain,
( n4 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17979,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(17983,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n4),succ(n4))) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,17982,theory(equality)]) ).
cnf(17984,plain,
( sum(sum(pred(esk9_0),succ(n4)),sum(pred(n4),succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,17982,theory(equality)]) ).
cnf(17985,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n8) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17983,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(17986,plain,
( sum(sum(pred(esk9_0),n5),sum(n3,succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[17984,220,theory(equality)]),209,theory(equality)]) ).
cnf(17991,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[17970,17976,theory(equality)]) ).
cnf(17992,plain,
( n4 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17991,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(17997,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[17985,17992,theory(equality)]) ).
cnf(18000,plain,
( n5 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17997,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18001,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n5),succ(n5))) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,18000,theory(equality)]) ).
cnf(18002,plain,
( sum(sum(pred(esk11_0),succ(n5)),sum(pred(n5),succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,18000,theory(equality)]) ).
cnf(18003,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n10) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18001,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(18004,plain,
( sum(sum(pred(esk11_0),n6),sum(n4,succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18002,219,theory(equality)]),208,theory(equality)]) ).
cnf(18007,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[17986,17992,theory(equality)]) ).
cnf(18008,plain,
( n5 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18007,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18011,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[18003,18008,theory(equality)]) ).
cnf(18014,plain,
( n9 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18011,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18017,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n9),succ(n9))) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,18014,theory(equality)]) ).
cnf(18018,plain,
( sum(sum(pred(esk13_0),succ(n9)),sum(pred(n9),succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,18014,theory(equality)]) ).
cnf(18019,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n7) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18017,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(18020,plain,
( sum(sum(pred(esk13_0),n10),sum(n8,succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18018,215,theory(equality)]),204,theory(equality)]) ).
cnf(18023,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[18004,18008,theory(equality)]) ).
cnf(18024,plain,
( n9 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18023,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18027,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[18019,18024,theory(equality)]) ).
cnf(18030,plain,
( n3 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18027,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18031,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n3),succ(n3))) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,18030,theory(equality)]) ).
cnf(18032,plain,
( sum(sum(pred(esk15_0),succ(n3)),sum(pred(n3),succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,18030,theory(equality)]) ).
cnf(18033,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n6) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18031,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(18034,plain,
( sum(sum(pred(esk15_0),n4),sum(n2,succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18032,221,theory(equality)]),210,theory(equality)]) ).
cnf(18039,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[18020,18024,theory(equality)]) ).
cnf(18040,plain,
( n3 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18039,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18043,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[18033,18040,theory(equality)]) ).
cnf(18046,plain,
( n1 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18043,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18047,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n1),succ(n1))) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,18046,theory(equality)]) ).
cnf(18048,plain,
( sum(sum(pred(esk17_0),succ(n1)),sum(pred(n1),succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,18046,theory(equality)]) ).
cnf(18049,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n2) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18047,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(18050,plain,
( sum(sum(pred(esk17_0),n2),sum(n0,succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18048,223,theory(equality)]),212,theory(equality)]) ).
cnf(18055,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[18034,18040,theory(equality)]) ).
cnf(18056,plain,
( n1 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18055,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18059,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[18049,18056,theory(equality)]) ).
cnf(18062,plain,
( n4 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18059,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18063,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n4),succ(n4))) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,18062,theory(equality)]) ).
cnf(18064,plain,
( sum(sum(pred(esk19_0),succ(n4)),sum(pred(n4),succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,18062,theory(equality)]) ).
cnf(18065,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n8) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18063,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(18066,plain,
( sum(sum(pred(esk19_0),n5),sum(n3,succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18064,220,theory(equality)]),209,theory(equality)]) ).
cnf(18071,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[18050,18056,theory(equality)]) ).
cnf(18072,plain,
( n4 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18071,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18075,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[18065,18072,theory(equality)]) ).
cnf(18078,plain,
( n5 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18075,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18083,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[18066,18072,theory(equality)]) ).
cnf(18084,plain,
( n5 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18083,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18085,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n5 != esk22_0 ),
inference(spm,[status(thm)],[59,18084,theory(equality)]) ).
cnf(18088,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[18085,18078]) ).
cnf(18089,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n4 != esk20_0 ),
inference(spm,[status(thm)],[18088,18072,theory(equality)]) ).
cnf(18090,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[18089,18062]) ).
cnf(18091,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n1 != esk18_0 ),
inference(spm,[status(thm)],[18090,18056,theory(equality)]) ).
cnf(18092,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[18091,18046]) ).
cnf(18093,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n3 != esk16_0 ),
inference(spm,[status(thm)],[18092,18040,theory(equality)]) ).
cnf(18094,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[18093,18030]) ).
cnf(18095,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n9 != esk14_0 ),
inference(spm,[status(thm)],[18094,18024,theory(equality)]) ).
cnf(18096,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[18095,18014]) ).
cnf(18097,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n5 != esk12_0 ),
inference(spm,[status(thm)],[18096,18008,theory(equality)]) ).
cnf(18098,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[18097,18000]) ).
cnf(18099,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n4 != esk10_0 ),
inference(spm,[status(thm)],[18098,17992,theory(equality)]) ).
cnf(18100,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[18099,17982]) ).
cnf(18101,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n1 != esk8_0 ),
inference(spm,[status(thm)],[18100,17976,theory(equality)]) ).
cnf(18102,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[18101,17966]) ).
cnf(18103,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n3 != esk6_0 ),
inference(spm,[status(thm)],[18102,17960,theory(equality)]) ).
cnf(18104,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[18103,17948]) ).
cnf(18105,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n9 != esk4_0 ),
inference(spm,[status(thm)],[18104,17934,theory(equality)]) ).
cnf(18106,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(csr,[status(thm)],[18105,17933]) ).
cnf(18114,plain,
( sum(n6,sum(pred(n6),succ(n6))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17185,18106,theory(equality)]) ).
cnf(18115,plain,
( sum(sum(n2,succ(n6)),sum(pred(n6),n4)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17186,18106,theory(equality)]) ).
cnf(18118,plain,
( n7 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18114,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),135,theory(equality)]) ).
cnf(18119,plain,
( n7 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18115,218,theory(equality)]),173,theory(equality)]),207,theory(equality)]),143,theory(equality)]),94,theory(equality)]) ).
cnf(18120,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n7),succ(n7))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,18118,theory(equality)]) ).
cnf(18121,plain,
( sum(sum(pred(esk3_0),succ(n7)),sum(pred(n7),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,18118,theory(equality)]) ).
cnf(18122,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n3) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18120,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(18123,plain,
( sum(sum(pred(esk3_0),n8),sum(n6,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18121,217,theory(equality)]),206,theory(equality)]) ).
cnf(18132,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18122,18119,theory(equality)]) ).
cnf(18133,plain,
( n6 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18132,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(18134,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n6),succ(n6))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,18133,theory(equality)]) ).
cnf(18135,plain,
( sum(sum(pred(esk5_0),succ(n6)),sum(pred(n6),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,18133,theory(equality)]) ).
cnf(18136,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n1) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18134,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(18137,plain,
( sum(sum(pred(esk5_0),n7),sum(n5,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18135,218,theory(equality)]),207,theory(equality)]) ).
cnf(18144,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18123,18119,theory(equality)]) ).
cnf(18145,plain,
( n6 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18144,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(18148,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18136,18145,theory(equality)]) ).
cnf(18151,plain,
( n2 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18148,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(18152,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n2),succ(n2))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,18151,theory(equality)]) ).
cnf(18153,plain,
( sum(sum(pred(esk7_0),succ(n2)),sum(pred(n2),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,18151,theory(equality)]) ).
cnf(18154,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n4) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18152,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(18155,plain,
( sum(sum(pred(esk7_0),n3),sum(n1,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18153,222,theory(equality)]),211,theory(equality)]) ).
cnf(18160,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18137,18145,theory(equality)]) ).
cnf(18161,plain,
( n2 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18160,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(18164,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18154,18161,theory(equality)]) ).
cnf(18167,plain,
( n8 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18164,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(18168,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n8),succ(n8))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,18167,theory(equality)]) ).
cnf(18169,plain,
( sum(sum(pred(esk9_0),succ(n8)),sum(pred(n8),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,18167,theory(equality)]) ).
cnf(18170,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n5) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18168,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(18171,plain,
( sum(sum(pred(esk9_0),n9),sum(n7,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18169,216,theory(equality)]),205,theory(equality)]) ).
cnf(18176,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18155,18161,theory(equality)]) ).
cnf(18177,plain,
( n8 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18176,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(18180,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18170,18177,theory(equality)]) ).
cnf(18183,plain,
( n10 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18180,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(18184,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n10),succ(n10))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,18183,theory(equality)]) ).
cnf(18185,plain,
( sum(sum(pred(esk11_0),succ(n10)),sum(pred(n10),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,18183,theory(equality)]) ).
cnf(18186,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n9) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18184,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(18187,plain,
( sum(sum(pred(esk11_0),n0),sum(n9,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18185,214,theory(equality)]),203,theory(equality)]) ).
cnf(18192,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18171,18177,theory(equality)]) ).
cnf(18193,plain,
( n10 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18192,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(18196,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18186,18193,theory(equality)]) ).
cnf(18199,plain,
( n7 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18196,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(18200,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n7),succ(n7))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,18199,theory(equality)]) ).
cnf(18201,plain,
( sum(sum(pred(esk13_0),succ(n7)),sum(pred(n7),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,18199,theory(equality)]) ).
cnf(18202,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n3) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18200,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(18203,plain,
( sum(sum(pred(esk13_0),n8),sum(n6,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18201,217,theory(equality)]),206,theory(equality)]) ).
cnf(18208,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18187,18193,theory(equality)]) ).
cnf(18209,plain,
( n7 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18208,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(18212,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18202,18209,theory(equality)]) ).
cnf(18215,plain,
( n6 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18212,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(18216,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n6),succ(n6))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,18215,theory(equality)]) ).
cnf(18217,plain,
( sum(sum(pred(esk15_0),succ(n6)),sum(pred(n6),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,18215,theory(equality)]) ).
cnf(18218,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n1) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18216,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(18219,plain,
( sum(sum(pred(esk15_0),n7),sum(n5,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18217,218,theory(equality)]),207,theory(equality)]) ).
cnf(18224,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18203,18209,theory(equality)]) ).
cnf(18225,plain,
( n6 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18224,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(18230,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18218,18225,theory(equality)]) ).
cnf(18233,plain,
( n2 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18230,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(18234,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n2),succ(n2))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,18233,theory(equality)]) ).
cnf(18235,plain,
( sum(sum(pred(esk17_0),succ(n2)),sum(pred(n2),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,18233,theory(equality)]) ).
cnf(18236,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n4) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18234,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(18237,plain,
( sum(sum(pred(esk17_0),n3),sum(n1,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18235,222,theory(equality)]),211,theory(equality)]) ).
cnf(18240,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18219,18225,theory(equality)]) ).
cnf(18241,plain,
( n2 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18240,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(18244,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18236,18241,theory(equality)]) ).
cnf(18247,plain,
( n8 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18244,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(18250,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n8),succ(n8))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,18247,theory(equality)]) ).
cnf(18251,plain,
( sum(sum(pred(esk19_0),succ(n8)),sum(pred(n8),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,18247,theory(equality)]) ).
cnf(18252,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n5) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18250,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(18253,plain,
( sum(sum(pred(esk19_0),n9),sum(n7,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18251,216,theory(equality)]),205,theory(equality)]) ).
cnf(18256,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18237,18241,theory(equality)]) ).
cnf(18257,plain,
( n8 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18256,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(18260,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18252,18257,theory(equality)]) ).
cnf(18263,plain,
( n10 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18260,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(18268,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18253,18257,theory(equality)]) ).
cnf(18269,plain,
( n10 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18268,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(18270,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n10 != esk22_0 ),
inference(spm,[status(thm)],[59,18269,theory(equality)]) ).
cnf(18271,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[18270,18263]) ).
cnf(18272,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n8 != esk20_0 ),
inference(spm,[status(thm)],[18271,18257,theory(equality)]) ).
cnf(18273,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[18272,18247]) ).
cnf(18274,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n2 != esk18_0 ),
inference(spm,[status(thm)],[18273,18241,theory(equality)]) ).
cnf(18277,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[18274,18233]) ).
cnf(18278,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n6 != esk16_0 ),
inference(spm,[status(thm)],[18277,18225,theory(equality)]) ).
cnf(18279,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[18278,18215]) ).
cnf(18280,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n7 != esk14_0 ),
inference(spm,[status(thm)],[18279,18209,theory(equality)]) ).
cnf(18281,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[18280,18199]) ).
cnf(18282,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n10 != esk12_0 ),
inference(spm,[status(thm)],[18281,18193,theory(equality)]) ).
cnf(18283,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[18282,18183]) ).
cnf(18284,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n8 != esk10_0 ),
inference(spm,[status(thm)],[18283,18177,theory(equality)]) ).
cnf(18285,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[18284,18167]) ).
cnf(18286,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n2 != esk8_0 ),
inference(spm,[status(thm)],[18285,18161,theory(equality)]) ).
cnf(18287,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[18286,18151]) ).
cnf(18288,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n6 != esk6_0 ),
inference(spm,[status(thm)],[18287,18145,theory(equality)]) ).
cnf(18289,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[18288,18133]) ).
cnf(18290,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n7 != esk4_0 ),
inference(spm,[status(thm)],[18289,18119,theory(equality)]) ).
cnf(18291,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[18290,18118]) ).
cnf(18298,plain,
( sum(n6,sum(pred(n5),succ(n5))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[17185,18291,theory(equality)]) ).
cnf(18299,plain,
( sum(sum(n2,succ(n5)),sum(pred(n5),n4)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[17186,18291,theory(equality)]) ).
cnf(18302,plain,
( n5 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18298,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),126,theory(equality)]) ).
cnf(18303,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18299,219,theory(equality)]),174,theory(equality)]),208,theory(equality)]),154,theory(equality)]),106,theory(equality)]) ).
cnf(18304,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n5),succ(n5))) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,18302,theory(equality)]) ).
cnf(18305,plain,
( sum(sum(pred(esk3_0),succ(n5)),sum(pred(n5),succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,18302,theory(equality)]) ).
cnf(18306,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n10) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18304,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(18307,plain,
( sum(sum(pred(esk3_0),n6),sum(n4,succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18305,219,theory(equality)]),208,theory(equality)]) ).
cnf(18316,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18306,18303,theory(equality)]) ).
cnf(18317,plain,
( n9 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18316,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18322,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n9),succ(n9))) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,18317,theory(equality)]) ).
cnf(18323,plain,
( sum(sum(pred(esk5_0),succ(n9)),sum(pred(n9),succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,18317,theory(equality)]) ).
cnf(18324,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n7) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18322,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(18325,plain,
( sum(sum(pred(esk5_0),n10),sum(n8,succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18323,215,theory(equality)]),204,theory(equality)]) ).
cnf(18328,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18307,18303,theory(equality)]) ).
cnf(18329,plain,
( n9 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18328,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18332,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18324,18329,theory(equality)]) ).
cnf(18335,plain,
( n3 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18332,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18336,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n3),succ(n3))) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,18335,theory(equality)]) ).
cnf(18337,plain,
( sum(sum(pred(esk7_0),succ(n3)),sum(pred(n3),succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,18335,theory(equality)]) ).
cnf(18338,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n6) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18336,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(18339,plain,
( sum(sum(pred(esk7_0),n4),sum(n2,succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18337,221,theory(equality)]),210,theory(equality)]) ).
cnf(18344,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18325,18329,theory(equality)]) ).
cnf(18345,plain,
( n3 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18344,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18348,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18338,18345,theory(equality)]) ).
cnf(18351,plain,
( n1 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18348,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18352,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n1),succ(n1))) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,18351,theory(equality)]) ).
cnf(18353,plain,
( sum(sum(pred(esk9_0),succ(n1)),sum(pred(n1),succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,18351,theory(equality)]) ).
cnf(18354,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n2) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18352,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(18355,plain,
( sum(sum(pred(esk9_0),n2),sum(n0,succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18353,223,theory(equality)]),212,theory(equality)]) ).
cnf(18360,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18339,18345,theory(equality)]) ).
cnf(18361,plain,
( n1 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18360,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18364,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18354,18361,theory(equality)]) ).
cnf(18367,plain,
( n4 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18364,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18368,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n4),succ(n4))) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,18367,theory(equality)]) ).
cnf(18369,plain,
( sum(sum(pred(esk11_0),succ(n4)),sum(pred(n4),succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,18367,theory(equality)]) ).
cnf(18370,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n8) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18368,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(18371,plain,
( sum(sum(pred(esk11_0),n5),sum(n3,succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18369,220,theory(equality)]),209,theory(equality)]) ).
cnf(18376,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18355,18361,theory(equality)]) ).
cnf(18377,plain,
( n4 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18376,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18380,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18370,18377,theory(equality)]) ).
cnf(18383,plain,
( n5 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18380,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18384,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n5),succ(n5))) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,18383,theory(equality)]) ).
cnf(18385,plain,
( sum(sum(pred(esk13_0),succ(n5)),sum(pred(n5),succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,18383,theory(equality)]) ).
cnf(18386,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n10) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18384,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(18387,plain,
( sum(sum(pred(esk13_0),n6),sum(n4,succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18385,219,theory(equality)]),208,theory(equality)]) ).
cnf(18392,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18371,18377,theory(equality)]) ).
cnf(18393,plain,
( n5 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18392,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18396,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18386,18393,theory(equality)]) ).
cnf(18399,plain,
( n9 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18396,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18400,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n9),succ(n9))) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,18399,theory(equality)]) ).
cnf(18401,plain,
( sum(sum(pred(esk15_0),succ(n9)),sum(pred(n9),succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,18399,theory(equality)]) ).
cnf(18402,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n7) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18400,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(18403,plain,
( sum(sum(pred(esk15_0),n10),sum(n8,succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18401,215,theory(equality)]),204,theory(equality)]) ).
cnf(18408,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18387,18393,theory(equality)]) ).
cnf(18409,plain,
( n9 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18408,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18412,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18402,18409,theory(equality)]) ).
cnf(18415,plain,
( n3 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18412,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18416,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n3),succ(n3))) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,18415,theory(equality)]) ).
cnf(18417,plain,
( sum(sum(pred(esk17_0),succ(n3)),sum(pred(n3),succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,18415,theory(equality)]) ).
cnf(18418,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n6) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18416,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(18419,plain,
( sum(sum(pred(esk17_0),n4),sum(n2,succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18417,221,theory(equality)]),210,theory(equality)]) ).
cnf(18424,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18403,18409,theory(equality)]) ).
cnf(18425,plain,
( n3 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18424,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18428,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18418,18425,theory(equality)]) ).
cnf(18431,plain,
( n1 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18428,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18432,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n1),succ(n1))) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,18431,theory(equality)]) ).
cnf(18433,plain,
( sum(sum(pred(esk19_0),succ(n1)),sum(pred(n1),succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,18431,theory(equality)]) ).
cnf(18434,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n2) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18432,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(18435,plain,
( sum(sum(pred(esk19_0),n2),sum(n0,succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18433,223,theory(equality)]),212,theory(equality)]) ).
cnf(18440,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18419,18425,theory(equality)]) ).
cnf(18441,plain,
( n1 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18440,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18446,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18434,18441,theory(equality)]) ).
cnf(18449,plain,
( n4 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18446,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18452,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[18435,18441,theory(equality)]) ).
cnf(18453,plain,
( n4 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18452,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18454,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n4 != esk22_0 ),
inference(spm,[status(thm)],[59,18453,theory(equality)]) ).
cnf(18457,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[18454,18449]) ).
cnf(18458,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n1 != esk20_0 ),
inference(spm,[status(thm)],[18457,18441,theory(equality)]) ).
cnf(18459,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[18458,18431]) ).
cnf(18460,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n3 != esk18_0 ),
inference(spm,[status(thm)],[18459,18425,theory(equality)]) ).
cnf(18461,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[18460,18415]) ).
cnf(18462,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n9 != esk16_0 ),
inference(spm,[status(thm)],[18461,18409,theory(equality)]) ).
cnf(18463,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[18462,18399]) ).
cnf(18464,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n5 != esk14_0 ),
inference(spm,[status(thm)],[18463,18393,theory(equality)]) ).
cnf(18465,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[18464,18383]) ).
cnf(18466,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n4 != esk12_0 ),
inference(spm,[status(thm)],[18465,18377,theory(equality)]) ).
cnf(18467,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[18466,18367]) ).
cnf(18468,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n1 != esk10_0 ),
inference(spm,[status(thm)],[18467,18361,theory(equality)]) ).
cnf(18469,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[18468,18351]) ).
cnf(18470,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n3 != esk8_0 ),
inference(spm,[status(thm)],[18469,18345,theory(equality)]) ).
cnf(18471,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[18470,18335]) ).
cnf(18472,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n9 != esk6_0 ),
inference(spm,[status(thm)],[18471,18329,theory(equality)]) ).
cnf(18473,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[18472,18317]) ).
cnf(18474,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n5 != esk4_0 ),
inference(spm,[status(thm)],[18473,18303,theory(equality)]) ).
cnf(18475,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(csr,[status(thm)],[18474,18302]) ).
cnf(18481,plain,
( sum(n6,sum(pred(n4),succ(n4))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17185,18475,theory(equality)]) ).
cnf(18482,plain,
( sum(sum(n2,succ(n4)),sum(pred(n4),n4)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17186,18475,theory(equality)]) ).
cnf(18485,plain,
( n3 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18481,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),128,theory(equality)]) ).
cnf(18486,plain,
( n3 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18482,220,theory(equality)]),175,theory(equality)]),209,theory(equality)]),165,theory(equality)]),118,theory(equality)]) ).
cnf(18487,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n3),succ(n3))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,18485,theory(equality)]) ).
cnf(18488,plain,
( sum(sum(pred(esk3_0),succ(n3)),sum(pred(n3),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,18485,theory(equality)]) ).
cnf(18489,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n6) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18487,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(18490,plain,
( sum(sum(pred(esk3_0),n4),sum(n2,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18488,221,theory(equality)]),210,theory(equality)]) ).
cnf(18503,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18489,18486,theory(equality)]) ).
cnf(18504,plain,
( n1 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18503,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18505,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n1),succ(n1))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,18504,theory(equality)]) ).
cnf(18506,plain,
( sum(sum(pred(esk5_0),succ(n1)),sum(pred(n1),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,18504,theory(equality)]) ).
cnf(18507,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n2) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18505,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(18508,plain,
( sum(sum(pred(esk5_0),n2),sum(n0,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18506,223,theory(equality)]),212,theory(equality)]) ).
cnf(18511,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18490,18486,theory(equality)]) ).
cnf(18512,plain,
( n1 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18511,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18515,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18507,18512,theory(equality)]) ).
cnf(18518,plain,
( n4 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18515,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18521,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n4),succ(n4))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,18518,theory(equality)]) ).
cnf(18522,plain,
( sum(sum(pred(esk7_0),succ(n4)),sum(pred(n4),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,18518,theory(equality)]) ).
cnf(18523,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n8) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18521,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(18524,plain,
( sum(sum(pred(esk7_0),n5),sum(n3,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18522,220,theory(equality)]),209,theory(equality)]) ).
cnf(18527,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18508,18512,theory(equality)]) ).
cnf(18528,plain,
( n4 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18527,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18531,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18523,18528,theory(equality)]) ).
cnf(18534,plain,
( n5 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18531,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18535,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n5),succ(n5))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,18534,theory(equality)]) ).
cnf(18536,plain,
( sum(sum(pred(esk9_0),succ(n5)),sum(pred(n5),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,18534,theory(equality)]) ).
cnf(18537,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n10) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18535,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(18538,plain,
( sum(sum(pred(esk9_0),n6),sum(n4,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18536,219,theory(equality)]),208,theory(equality)]) ).
cnf(18543,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18524,18528,theory(equality)]) ).
cnf(18544,plain,
( n5 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18543,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18547,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18537,18544,theory(equality)]) ).
cnf(18550,plain,
( n9 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18547,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18551,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n9),succ(n9))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,18550,theory(equality)]) ).
cnf(18552,plain,
( sum(sum(pred(esk11_0),succ(n9)),sum(pred(n9),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,18550,theory(equality)]) ).
cnf(18553,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n7) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18551,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(18554,plain,
( sum(sum(pred(esk11_0),n10),sum(n8,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18552,215,theory(equality)]),204,theory(equality)]) ).
cnf(18559,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18538,18544,theory(equality)]) ).
cnf(18560,plain,
( n9 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18559,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18563,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18553,18560,theory(equality)]) ).
cnf(18566,plain,
( n3 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18563,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18567,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n3),succ(n3))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,18566,theory(equality)]) ).
cnf(18568,plain,
( sum(sum(pred(esk13_0),succ(n3)),sum(pred(n3),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,18566,theory(equality)]) ).
cnf(18569,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n6) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18567,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(18570,plain,
( sum(sum(pred(esk13_0),n4),sum(n2,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18568,221,theory(equality)]),210,theory(equality)]) ).
cnf(18575,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18554,18560,theory(equality)]) ).
cnf(18576,plain,
( n3 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18575,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18579,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18569,18576,theory(equality)]) ).
cnf(18582,plain,
( n1 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18579,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18583,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n1),succ(n1))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,18582,theory(equality)]) ).
cnf(18584,plain,
( sum(sum(pred(esk15_0),succ(n1)),sum(pred(n1),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,18582,theory(equality)]) ).
cnf(18585,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n2) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18583,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(18586,plain,
( sum(sum(pred(esk15_0),n2),sum(n0,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18584,223,theory(equality)]),212,theory(equality)]) ).
cnf(18591,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18570,18576,theory(equality)]) ).
cnf(18592,plain,
( n1 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18591,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18595,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18585,18592,theory(equality)]) ).
cnf(18598,plain,
( n4 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18595,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18599,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n4),succ(n4))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,18598,theory(equality)]) ).
cnf(18600,plain,
( sum(sum(pred(esk17_0),succ(n4)),sum(pred(n4),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,18598,theory(equality)]) ).
cnf(18601,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n8) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18599,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(18602,plain,
( sum(sum(pred(esk17_0),n5),sum(n3,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18600,220,theory(equality)]),209,theory(equality)]) ).
cnf(18607,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18586,18592,theory(equality)]) ).
cnf(18608,plain,
( n4 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18607,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18611,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18601,18608,theory(equality)]) ).
cnf(18614,plain,
( n5 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18611,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18615,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n5),succ(n5))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,18614,theory(equality)]) ).
cnf(18616,plain,
( sum(sum(pred(esk19_0),succ(n5)),sum(pred(n5),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,18614,theory(equality)]) ).
cnf(18617,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n10) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18615,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(18618,plain,
( sum(sum(pred(esk19_0),n6),sum(n4,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18616,219,theory(equality)]),208,theory(equality)]) ).
cnf(18623,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18602,18608,theory(equality)]) ).
cnf(18624,plain,
( n5 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18623,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18627,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18617,18624,theory(equality)]) ).
cnf(18630,plain,
( n9 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18627,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18635,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18618,18624,theory(equality)]) ).
cnf(18636,plain,
( n9 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18635,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18637,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n9 != esk22_0 ),
inference(spm,[status(thm)],[59,18636,theory(equality)]) ).
cnf(18640,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[18637,18630]) ).
cnf(18641,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n5 != esk20_0 ),
inference(spm,[status(thm)],[18640,18624,theory(equality)]) ).
cnf(18642,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[18641,18614]) ).
cnf(18643,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n4 != esk18_0 ),
inference(spm,[status(thm)],[18642,18608,theory(equality)]) ).
cnf(18644,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[18643,18598]) ).
cnf(18645,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n1 != esk16_0 ),
inference(spm,[status(thm)],[18644,18592,theory(equality)]) ).
cnf(18646,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[18645,18582]) ).
cnf(18647,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n3 != esk14_0 ),
inference(spm,[status(thm)],[18646,18576,theory(equality)]) ).
cnf(18648,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[18647,18566]) ).
cnf(18649,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n9 != esk12_0 ),
inference(spm,[status(thm)],[18648,18560,theory(equality)]) ).
cnf(18650,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[18649,18550]) ).
cnf(18651,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n5 != esk10_0 ),
inference(spm,[status(thm)],[18650,18544,theory(equality)]) ).
cnf(18652,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[18651,18534]) ).
cnf(18653,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n4 != esk8_0 ),
inference(spm,[status(thm)],[18652,18528,theory(equality)]) ).
cnf(18654,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[18653,18518]) ).
cnf(18655,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n1 != esk6_0 ),
inference(spm,[status(thm)],[18654,18512,theory(equality)]) ).
cnf(18656,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[18655,18504]) ).
cnf(18657,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n3 != esk4_0 ),
inference(spm,[status(thm)],[18656,18486,theory(equality)]) ).
cnf(18658,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[18657,18485]) ).
cnf(18663,plain,
( sum(n6,sum(pred(n3),succ(n3))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[17185,18658,theory(equality)]) ).
cnf(18664,plain,
( sum(sum(n2,succ(n3)),sum(pred(n3),n4)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[17186,18658,theory(equality)]) ).
cnf(18667,plain,
( n1 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18663,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18668,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18664,221,theory(equality)]),176,theory(equality)]),210,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18669,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n1),succ(n1))) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,18667,theory(equality)]) ).
cnf(18670,plain,
( sum(sum(pred(esk3_0),succ(n1)),sum(pred(n1),succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,18667,theory(equality)]) ).
cnf(18671,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n2) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18669,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(18672,plain,
( sum(sum(pred(esk3_0),n2),sum(n0,succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18670,223,theory(equality)]),212,theory(equality)]) ).
cnf(18685,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18671,18668,theory(equality)]) ).
cnf(18686,plain,
( n4 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18685,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18687,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n4),succ(n4))) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,18686,theory(equality)]) ).
cnf(18688,plain,
( sum(sum(pred(esk5_0),succ(n4)),sum(pred(n4),succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,18686,theory(equality)]) ).
cnf(18689,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n8) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18687,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(18690,plain,
( sum(sum(pred(esk5_0),n5),sum(n3,succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18688,220,theory(equality)]),209,theory(equality)]) ).
cnf(18693,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18672,18668,theory(equality)]) ).
cnf(18694,plain,
( n4 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18693,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18697,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18689,18694,theory(equality)]) ).
cnf(18700,plain,
( n5 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18697,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18703,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n5),succ(n5))) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,18700,theory(equality)]) ).
cnf(18704,plain,
( sum(sum(pred(esk7_0),succ(n5)),sum(pred(n5),succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,18700,theory(equality)]) ).
cnf(18705,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n10) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18703,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(18706,plain,
( sum(sum(pred(esk7_0),n6),sum(n4,succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18704,219,theory(equality)]),208,theory(equality)]) ).
cnf(18709,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18690,18694,theory(equality)]) ).
cnf(18710,plain,
( n5 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18709,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18713,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18705,18710,theory(equality)]) ).
cnf(18716,plain,
( n9 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18713,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18717,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n9),succ(n9))) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,18716,theory(equality)]) ).
cnf(18718,plain,
( sum(sum(pred(esk9_0),succ(n9)),sum(pred(n9),succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,18716,theory(equality)]) ).
cnf(18719,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n7) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18717,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(18720,plain,
( sum(sum(pred(esk9_0),n10),sum(n8,succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18718,215,theory(equality)]),204,theory(equality)]) ).
cnf(18725,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18706,18710,theory(equality)]) ).
cnf(18726,plain,
( n9 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18725,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18729,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18719,18726,theory(equality)]) ).
cnf(18732,plain,
( n3 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18729,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18733,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n3),succ(n3))) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,18732,theory(equality)]) ).
cnf(18734,plain,
( sum(sum(pred(esk11_0),succ(n3)),sum(pred(n3),succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,18732,theory(equality)]) ).
cnf(18735,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n6) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18733,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(18736,plain,
( sum(sum(pred(esk11_0),n4),sum(n2,succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18734,221,theory(equality)]),210,theory(equality)]) ).
cnf(18741,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18720,18726,theory(equality)]) ).
cnf(18742,plain,
( n3 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18741,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18745,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18735,18742,theory(equality)]) ).
cnf(18748,plain,
( n1 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18745,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18749,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n1),succ(n1))) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,18748,theory(equality)]) ).
cnf(18750,plain,
( sum(sum(pred(esk13_0),succ(n1)),sum(pred(n1),succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,18748,theory(equality)]) ).
cnf(18751,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n2) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18749,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(18752,plain,
( sum(sum(pred(esk13_0),n2),sum(n0,succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18750,223,theory(equality)]),212,theory(equality)]) ).
cnf(18757,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18736,18742,theory(equality)]) ).
cnf(18758,plain,
( n1 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18757,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(18761,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18751,18758,theory(equality)]) ).
cnf(18764,plain,
( n4 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18761,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18765,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n4),succ(n4))) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,18764,theory(equality)]) ).
cnf(18766,plain,
( sum(sum(pred(esk15_0),succ(n4)),sum(pred(n4),succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,18764,theory(equality)]) ).
cnf(18767,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n8) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18765,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(18768,plain,
( sum(sum(pred(esk15_0),n5),sum(n3,succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18766,220,theory(equality)]),209,theory(equality)]) ).
cnf(18773,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18752,18758,theory(equality)]) ).
cnf(18774,plain,
( n4 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18773,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(18777,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18767,18774,theory(equality)]) ).
cnf(18780,plain,
( n5 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18777,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18781,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n5),succ(n5))) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,18780,theory(equality)]) ).
cnf(18782,plain,
( sum(sum(pred(esk17_0),succ(n5)),sum(pred(n5),succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,18780,theory(equality)]) ).
cnf(18783,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n10) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18781,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(18784,plain,
( sum(sum(pred(esk17_0),n6),sum(n4,succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18782,219,theory(equality)]),208,theory(equality)]) ).
cnf(18789,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18768,18774,theory(equality)]) ).
cnf(18790,plain,
( n5 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18789,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(18793,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18783,18790,theory(equality)]) ).
cnf(18796,plain,
( n9 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18793,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18797,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n9),succ(n9))) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,18796,theory(equality)]) ).
cnf(18798,plain,
( sum(sum(pred(esk19_0),succ(n9)),sum(pred(n9),succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,18796,theory(equality)]) ).
cnf(18799,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n7) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18797,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(18800,plain,
( sum(sum(pred(esk19_0),n10),sum(n8,succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18798,215,theory(equality)]),204,theory(equality)]) ).
cnf(18805,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18784,18790,theory(equality)]) ).
cnf(18806,plain,
( n9 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18805,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(18809,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18799,18806,theory(equality)]) ).
cnf(18812,plain,
( n3 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18809,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18817,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[18800,18806,theory(equality)]) ).
cnf(18818,plain,
( n3 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18817,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(18819,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n3 != esk22_0 ),
inference(spm,[status(thm)],[59,18818,theory(equality)]) ).
cnf(18822,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[18819,18812]) ).
cnf(18823,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n9 != esk20_0 ),
inference(spm,[status(thm)],[18822,18806,theory(equality)]) ).
cnf(18824,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[18823,18796]) ).
cnf(18825,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n5 != esk18_0 ),
inference(spm,[status(thm)],[18824,18790,theory(equality)]) ).
cnf(18826,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[18825,18780]) ).
cnf(18827,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n4 != esk16_0 ),
inference(spm,[status(thm)],[18826,18774,theory(equality)]) ).
cnf(18828,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[18827,18764]) ).
cnf(18829,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n1 != esk14_0 ),
inference(spm,[status(thm)],[18828,18758,theory(equality)]) ).
cnf(18830,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[18829,18748]) ).
cnf(18831,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n3 != esk12_0 ),
inference(spm,[status(thm)],[18830,18742,theory(equality)]) ).
cnf(18832,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[18831,18732]) ).
cnf(18833,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n9 != esk10_0 ),
inference(spm,[status(thm)],[18832,18726,theory(equality)]) ).
cnf(18834,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[18833,18716]) ).
cnf(18835,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n5 != esk8_0 ),
inference(spm,[status(thm)],[18834,18710,theory(equality)]) ).
cnf(18836,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[18835,18700]) ).
cnf(18837,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n4 != esk6_0 ),
inference(spm,[status(thm)],[18836,18694,theory(equality)]) ).
cnf(18838,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[18837,18686]) ).
cnf(18839,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| n1 != esk4_0 ),
inference(spm,[status(thm)],[18838,18668,theory(equality)]) ).
cnf(18840,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(csr,[status(thm)],[18839,18667]) ).
cnf(18844,plain,
( sum(n6,sum(pred(n2),succ(n2))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17185,18840,theory(equality)]) ).
cnf(18845,plain,
( sum(sum(n2,succ(n2)),sum(pred(n2),n4)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[17186,18840,theory(equality)]) ).
cnf(18848,plain,
( n10 = esk4_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18844,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),132,theory(equality)]) ).
cnf(18849,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18845,222,theory(equality)]),177,theory(equality)]),211,theory(equality)]),187,theory(equality)]),142,theory(equality)]) ).
cnf(18850,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n10),succ(n10))) = esk6_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,18848,theory(equality)]) ).
cnf(18851,plain,
( sum(sum(pred(esk3_0),succ(n10)),sum(pred(n10),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,18848,theory(equality)]) ).
cnf(18852,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n9) = esk6_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18850,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(18853,plain,
( sum(sum(pred(esk3_0),n0),sum(n9,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18851,214,theory(equality)]),203,theory(equality)]) ).
cnf(18862,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18852,18849,theory(equality)]) ).
cnf(18863,plain,
( n7 = esk6_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18862,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(18868,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n7),succ(n7))) = esk8_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,18863,theory(equality)]) ).
cnf(18869,plain,
( sum(sum(pred(esk5_0),succ(n7)),sum(pred(n7),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,18863,theory(equality)]) ).
cnf(18870,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n3) = esk8_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18868,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(18871,plain,
( sum(sum(pred(esk5_0),n8),sum(n6,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18869,217,theory(equality)]),206,theory(equality)]) ).
cnf(18874,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18853,18849,theory(equality)]) ).
cnf(18875,plain,
( n7 = esk5_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18874,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(18878,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18870,18875,theory(equality)]) ).
cnf(18881,plain,
( n6 = esk8_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18878,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(18882,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n6),succ(n6))) = esk10_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,18881,theory(equality)]) ).
cnf(18883,plain,
( sum(sum(pred(esk7_0),succ(n6)),sum(pred(n6),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,18881,theory(equality)]) ).
cnf(18884,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n1) = esk10_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18882,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(18885,plain,
( sum(sum(pred(esk7_0),n7),sum(n5,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18883,218,theory(equality)]),207,theory(equality)]) ).
cnf(18890,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18871,18875,theory(equality)]) ).
cnf(18891,plain,
( n6 = esk7_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18890,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(18894,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18884,18891,theory(equality)]) ).
cnf(18897,plain,
( n2 = esk10_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18894,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(18898,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n2),succ(n2))) = esk12_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,18897,theory(equality)]) ).
cnf(18899,plain,
( sum(sum(pred(esk9_0),succ(n2)),sum(pred(n2),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,18897,theory(equality)]) ).
cnf(18900,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n4) = esk12_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18898,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(18901,plain,
( sum(sum(pred(esk9_0),n3),sum(n1,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18899,222,theory(equality)]),211,theory(equality)]) ).
cnf(18906,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18885,18891,theory(equality)]) ).
cnf(18907,plain,
( n2 = esk9_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18906,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(18910,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18900,18907,theory(equality)]) ).
cnf(18913,plain,
( n8 = esk12_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18910,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(18914,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n8),succ(n8))) = esk14_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,18913,theory(equality)]) ).
cnf(18915,plain,
( sum(sum(pred(esk11_0),succ(n8)),sum(pred(n8),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,18913,theory(equality)]) ).
cnf(18916,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n5) = esk14_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18914,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(18917,plain,
( sum(sum(pred(esk11_0),n9),sum(n7,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18915,216,theory(equality)]),205,theory(equality)]) ).
cnf(18922,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18901,18907,theory(equality)]) ).
cnf(18923,plain,
( n8 = esk11_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18922,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(18926,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18916,18923,theory(equality)]) ).
cnf(18929,plain,
( n10 = esk14_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18926,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(18930,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n10),succ(n10))) = esk16_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,18929,theory(equality)]) ).
cnf(18931,plain,
( sum(sum(pred(esk13_0),succ(n10)),sum(pred(n10),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,18929,theory(equality)]) ).
cnf(18932,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n9) = esk16_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18930,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(18933,plain,
( sum(sum(pred(esk13_0),n0),sum(n9,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18931,214,theory(equality)]),203,theory(equality)]) ).
cnf(18938,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18917,18923,theory(equality)]) ).
cnf(18939,plain,
( n10 = esk13_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18938,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(18942,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18932,18939,theory(equality)]) ).
cnf(18945,plain,
( n7 = esk16_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18942,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(18946,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n7),succ(n7))) = esk18_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,18945,theory(equality)]) ).
cnf(18947,plain,
( sum(sum(pred(esk15_0),succ(n7)),sum(pred(n7),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,18945,theory(equality)]) ).
cnf(18948,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n3) = esk18_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18946,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(18949,plain,
( sum(sum(pred(esk15_0),n8),sum(n6,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18947,217,theory(equality)]),206,theory(equality)]) ).
cnf(18954,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18933,18939,theory(equality)]) ).
cnf(18955,plain,
( n7 = esk15_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18954,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(18958,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18948,18955,theory(equality)]) ).
cnf(18961,plain,
( n6 = esk18_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18958,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(18962,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n6),succ(n6))) = esk20_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,18961,theory(equality)]) ).
cnf(18963,plain,
( sum(sum(pred(esk17_0),succ(n6)),sum(pred(n6),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,18961,theory(equality)]) ).
cnf(18964,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n1) = esk20_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18962,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(18965,plain,
( sum(sum(pred(esk17_0),n7),sum(n5,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18963,218,theory(equality)]),207,theory(equality)]) ).
cnf(18970,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18949,18955,theory(equality)]) ).
cnf(18971,plain,
( n6 = esk17_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18970,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(18974,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18964,18971,theory(equality)]) ).
cnf(18977,plain,
( n2 = esk20_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18974,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(18978,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n2),succ(n2))) = esk22_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,18977,theory(equality)]) ).
cnf(18979,plain,
( sum(sum(pred(esk19_0),succ(n2)),sum(pred(n2),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,18977,theory(equality)]) ).
cnf(18980,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n4) = esk22_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18978,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(18981,plain,
( sum(sum(pred(esk19_0),n3),sum(n1,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18979,222,theory(equality)]),211,theory(equality)]) ).
cnf(18986,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18965,18971,theory(equality)]) ).
cnf(18987,plain,
( n2 = esk19_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18986,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(18992,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18980,18987,theory(equality)]) ).
cnf(18995,plain,
( n8 = esk22_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18992,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(18998,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[18981,18987,theory(equality)]) ).
cnf(18999,plain,
( n8 = esk21_0
| esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18998,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(19000,plain,
( esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n8 != esk22_0 ),
inference(spm,[status(thm)],[59,18999,theory(equality)]) ).
cnf(19003,plain,
( esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[19000,18995]) ).
cnf(19004,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n2 != esk20_0 ),
inference(spm,[status(thm)],[19003,18987,theory(equality)]) ).
cnf(19005,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[19004,18977]) ).
cnf(19006,plain,
( esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n6 != esk18_0 ),
inference(spm,[status(thm)],[19005,18971,theory(equality)]) ).
cnf(19007,plain,
( esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[19006,18961]) ).
cnf(19008,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n7 != esk16_0 ),
inference(spm,[status(thm)],[19007,18955,theory(equality)]) ).
cnf(19009,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[19008,18945]) ).
cnf(19010,plain,
( esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n10 != esk14_0 ),
inference(spm,[status(thm)],[19009,18939,theory(equality)]) ).
cnf(19011,plain,
( esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[19010,18929]) ).
cnf(19012,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n8 != esk12_0 ),
inference(spm,[status(thm)],[19011,18923,theory(equality)]) ).
cnf(19013,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[19012,18913]) ).
cnf(19014,plain,
( esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n2 != esk10_0 ),
inference(spm,[status(thm)],[19013,18907,theory(equality)]) ).
cnf(19015,plain,
( esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[19014,18897]) ).
cnf(19016,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n6 != esk8_0 ),
inference(spm,[status(thm)],[19015,18891,theory(equality)]) ).
cnf(19017,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[19016,18881]) ).
cnf(19018,plain,
( esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n7 != esk6_0 ),
inference(spm,[status(thm)],[19017,18875,theory(equality)]) ).
cnf(19019,plain,
( esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[19018,18863]) ).
cnf(19020,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| n10 != esk4_0 ),
inference(spm,[status(thm)],[19019,18849,theory(equality)]) ).
cnf(19021,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[19020,18848]) ).
cnf(19024,plain,
( sum(n6,sum(pred(n1),succ(n1))) = esk4_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[17185,19021,theory(equality)]) ).
cnf(19025,plain,
( sum(sum(n2,succ(n1)),sum(pred(n1),n4)) = esk3_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[17186,19021,theory(equality)]) ).
cnf(19028,plain,
( n8 = esk4_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19024,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),134,theory(equality)]) ).
cnf(19029,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19025,223,theory(equality)]),178,theory(equality)]),212,theory(equality)]),198,theory(equality)]),154,theory(equality)]) ).
cnf(19030,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n8),succ(n8))) = esk6_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,19028,theory(equality)]) ).
cnf(19031,plain,
( sum(sum(pred(esk3_0),succ(n8)),sum(pred(n8),succ(esk3_0))) = esk5_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,19028,theory(equality)]) ).
cnf(19032,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n5) = esk6_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19030,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(19033,plain,
( sum(sum(pred(esk3_0),n9),sum(n7,succ(esk3_0))) = esk5_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19031,216,theory(equality)]),205,theory(equality)]) ).
cnf(19042,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk6_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19032,19029,theory(equality)]) ).
cnf(19043,plain,
( n10 = esk6_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19042,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(19044,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n10),succ(n10))) = esk8_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,19043,theory(equality)]) ).
cnf(19045,plain,
( sum(sum(pred(esk5_0),succ(n10)),sum(pred(n10),succ(esk5_0))) = esk7_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,19043,theory(equality)]) ).
cnf(19046,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n9) = esk8_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19044,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(19047,plain,
( sum(sum(pred(esk5_0),n0),sum(n9,succ(esk5_0))) = esk7_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19045,214,theory(equality)]),203,theory(equality)]) ).
cnf(19054,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk5_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19033,19029,theory(equality)]) ).
cnf(19055,plain,
( n10 = esk5_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19054,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(19058,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk8_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19046,19055,theory(equality)]) ).
cnf(19061,plain,
( n7 = esk8_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19058,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(19062,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n7),succ(n7))) = esk10_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,19061,theory(equality)]) ).
cnf(19063,plain,
( sum(sum(pred(esk7_0),succ(n7)),sum(pred(n7),succ(esk7_0))) = esk9_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,19061,theory(equality)]) ).
cnf(19064,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n3) = esk10_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19062,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(19065,plain,
( sum(sum(pred(esk7_0),n8),sum(n6,succ(esk7_0))) = esk9_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19063,217,theory(equality)]),206,theory(equality)]) ).
cnf(19070,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk7_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19047,19055,theory(equality)]) ).
cnf(19071,plain,
( n7 = esk7_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19070,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(19074,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk10_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19064,19071,theory(equality)]) ).
cnf(19077,plain,
( n6 = esk10_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19074,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(19078,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n6),succ(n6))) = esk12_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,19077,theory(equality)]) ).
cnf(19079,plain,
( sum(sum(pred(esk9_0),succ(n6)),sum(pred(n6),succ(esk9_0))) = esk11_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,19077,theory(equality)]) ).
cnf(19080,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n1) = esk12_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19078,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(19081,plain,
( sum(sum(pred(esk9_0),n7),sum(n5,succ(esk9_0))) = esk11_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19079,218,theory(equality)]),207,theory(equality)]) ).
cnf(19086,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk9_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19065,19071,theory(equality)]) ).
cnf(19087,plain,
( n6 = esk9_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19086,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(19090,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk12_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19080,19087,theory(equality)]) ).
cnf(19093,plain,
( n2 = esk12_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19090,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(19094,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n2),succ(n2))) = esk14_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,19093,theory(equality)]) ).
cnf(19095,plain,
( sum(sum(pred(esk11_0),succ(n2)),sum(pred(n2),succ(esk11_0))) = esk13_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,19093,theory(equality)]) ).
cnf(19096,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n4) = esk14_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19094,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(19097,plain,
( sum(sum(pred(esk11_0),n3),sum(n1,succ(esk11_0))) = esk13_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19095,222,theory(equality)]),211,theory(equality)]) ).
cnf(19102,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk11_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19081,19087,theory(equality)]) ).
cnf(19103,plain,
( n2 = esk11_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19102,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(19106,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk14_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19096,19103,theory(equality)]) ).
cnf(19109,plain,
( n8 = esk14_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19106,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(19110,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n8),succ(n8))) = esk16_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,19109,theory(equality)]) ).
cnf(19111,plain,
( sum(sum(pred(esk13_0),succ(n8)),sum(pred(n8),succ(esk13_0))) = esk15_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,19109,theory(equality)]) ).
cnf(19112,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n5) = esk16_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19110,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(19113,plain,
( sum(sum(pred(esk13_0),n9),sum(n7,succ(esk13_0))) = esk15_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19111,216,theory(equality)]),205,theory(equality)]) ).
cnf(19118,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk13_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19097,19103,theory(equality)]) ).
cnf(19119,plain,
( n8 = esk13_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19118,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(19122,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk16_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19112,19119,theory(equality)]) ).
cnf(19125,plain,
( n10 = esk16_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19122,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(19126,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n10),succ(n10))) = esk18_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,19125,theory(equality)]) ).
cnf(19127,plain,
( sum(sum(pred(esk15_0),succ(n10)),sum(pred(n10),succ(esk15_0))) = esk17_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,19125,theory(equality)]) ).
cnf(19128,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n9) = esk18_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19126,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(19129,plain,
( sum(sum(pred(esk15_0),n0),sum(n9,succ(esk15_0))) = esk17_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19127,214,theory(equality)]),203,theory(equality)]) ).
cnf(19134,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk15_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19113,19119,theory(equality)]) ).
cnf(19135,plain,
( n10 = esk15_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19134,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(19140,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk18_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19128,19135,theory(equality)]) ).
cnf(19143,plain,
( n7 = esk18_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19140,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(19144,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n7),succ(n7))) = esk20_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,19143,theory(equality)]) ).
cnf(19145,plain,
( sum(sum(pred(esk17_0),succ(n7)),sum(pred(n7),succ(esk17_0))) = esk19_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,19143,theory(equality)]) ).
cnf(19146,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n3) = esk20_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19144,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(19147,plain,
( sum(sum(pred(esk17_0),n8),sum(n6,succ(esk17_0))) = esk19_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19145,217,theory(equality)]),206,theory(equality)]) ).
cnf(19150,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk17_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19129,19135,theory(equality)]) ).
cnf(19151,plain,
( n7 = esk17_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19150,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(19154,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk20_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19146,19151,theory(equality)]) ).
cnf(19157,plain,
( n6 = esk20_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19154,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(19160,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n6),succ(n6))) = esk22_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,19157,theory(equality)]) ).
cnf(19161,plain,
( sum(sum(pred(esk19_0),succ(n6)),sum(pred(n6),succ(esk19_0))) = esk21_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,19157,theory(equality)]) ).
cnf(19162,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n1) = esk22_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19160,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(19163,plain,
( sum(sum(pred(esk19_0),n7),sum(n5,succ(esk19_0))) = esk21_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19161,218,theory(equality)]),207,theory(equality)]) ).
cnf(19166,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk19_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19147,19151,theory(equality)]) ).
cnf(19167,plain,
( n6 = esk19_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19166,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(19170,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk22_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19162,19167,theory(equality)]) ).
cnf(19173,plain,
( n2 = esk22_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19170,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(19178,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk21_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[19163,19167,theory(equality)]) ).
cnf(19179,plain,
( n2 = esk21_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19178,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(19180,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n2 != esk22_0 ),
inference(spm,[status(thm)],[59,19179,theory(equality)]) ).
cnf(19181,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[19180,19173]) ).
cnf(19182,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n6 != esk20_0 ),
inference(spm,[status(thm)],[19181,19167,theory(equality)]) ).
cnf(19183,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[19182,19157]) ).
cnf(19184,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n7 != esk18_0 ),
inference(spm,[status(thm)],[19183,19151,theory(equality)]) ).
cnf(19187,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[19184,19143]) ).
cnf(19188,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n10 != esk16_0 ),
inference(spm,[status(thm)],[19187,19135,theory(equality)]) ).
cnf(19189,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[19188,19125]) ).
cnf(19190,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n8 != esk14_0 ),
inference(spm,[status(thm)],[19189,19119,theory(equality)]) ).
cnf(19191,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[19190,19109]) ).
cnf(19192,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n2 != esk12_0 ),
inference(spm,[status(thm)],[19191,19103,theory(equality)]) ).
cnf(19193,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[19192,19093]) ).
cnf(19194,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n6 != esk10_0 ),
inference(spm,[status(thm)],[19193,19087,theory(equality)]) ).
cnf(19195,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[19194,19077]) ).
cnf(19196,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n7 != esk8_0 ),
inference(spm,[status(thm)],[19195,19071,theory(equality)]) ).
cnf(19197,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[19196,19061]) ).
cnf(19198,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0
| n10 != esk6_0 ),
inference(spm,[status(thm)],[19197,19055,theory(equality)]) ).
cnf(19199,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[19198,19043]) ).
cnf(19200,plain,
( esk1_0 = n1
| esk1_0 = n2
| n8 != esk4_0 ),
inference(spm,[status(thm)],[19199,19029,theory(equality)]) ).
cnf(19201,plain,
( esk1_0 = n1
| esk1_0 = n2 ),
inference(csr,[status(thm)],[19200,19028]) ).
cnf(19203,plain,
( sum(sum(pred(n2),succ(n2)),sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[78,19201,theory(equality)]) ).
cnf(19204,plain,
( sum(sum(pred(n2),succ(esk2_0)),sum(pred(esk2_0),succ(n2))) = esk3_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[79,19201,theory(equality)]) ).
cnf(19205,plain,
( sum(sum(pred(n2),succ(n2)),n0) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[248,19201,theory(equality)]) ).
cnf(19206,plain,
( sum(sum(pred(n2),n1),sum(n10,succ(n2))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[252,19201,theory(equality)]) ).
cnf(19207,plain,
( sum(n4,sum(pred(esk2_0),succ(esk2_0))) = esk4_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19203,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(19208,plain,
( sum(sum(n1,succ(esk2_0)),sum(pred(esk2_0),n3)) = esk3_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19204,211,theory(equality)]),222,theory(equality)]) ).
cnf(19209,plain,
( n4 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19205,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),158,theory(equality)]) ).
cnf(19210,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19206,211,theory(equality)]),190,theory(equality)]),222,theory(equality)]),89,theory(equality)]),178,theory(equality)]) ).
cnf(19215,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n4),succ(n4))) = esk6_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,19209,theory(equality)]) ).
cnf(19216,plain,
( sum(sum(pred(esk3_0),succ(n4)),sum(pred(n4),succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,19209,theory(equality)]) ).
cnf(19217,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n8) = esk6_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19215,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(19218,plain,
( sum(sum(pred(esk3_0),n5),sum(n3,succ(esk3_0))) = esk5_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19216,220,theory(equality)]),209,theory(equality)]) ).
cnf(19223,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19217,19210,theory(equality)]) ).
cnf(19224,plain,
( n5 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19223,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(19225,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n5),succ(n5))) = esk8_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,19224,theory(equality)]) ).
cnf(19226,plain,
( sum(sum(pred(esk5_0),succ(n5)),sum(pred(n5),succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,19224,theory(equality)]) ).
cnf(19227,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n10) = esk8_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19225,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(19228,plain,
( sum(sum(pred(esk5_0),n6),sum(n4,succ(esk5_0))) = esk7_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19226,219,theory(equality)]),208,theory(equality)]) ).
cnf(19229,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19218,19210,theory(equality)]) ).
cnf(19230,plain,
( n5 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19229,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(19237,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19227,19230,theory(equality)]) ).
cnf(19238,plain,
( n9 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19237,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(19239,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n9),succ(n9))) = esk10_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,19238,theory(equality)]) ).
cnf(19240,plain,
( sum(sum(pred(esk7_0),succ(n9)),sum(pred(n9),succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,19238,theory(equality)]) ).
cnf(19241,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n7) = esk10_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19239,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(19242,plain,
( sum(sum(pred(esk7_0),n10),sum(n8,succ(esk7_0))) = esk9_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19240,215,theory(equality)]),204,theory(equality)]) ).
cnf(19247,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19228,19230,theory(equality)]) ).
cnf(19248,plain,
( n9 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19247,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(19251,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19241,19248,theory(equality)]) ).
cnf(19254,plain,
( n3 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19251,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(19255,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n3),succ(n3))) = esk12_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,19254,theory(equality)]) ).
cnf(19256,plain,
( sum(sum(pred(esk9_0),succ(n3)),sum(pred(n3),succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,19254,theory(equality)]) ).
cnf(19257,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n6) = esk12_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19255,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(19258,plain,
( sum(sum(pred(esk9_0),n4),sum(n2,succ(esk9_0))) = esk11_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19256,221,theory(equality)]),210,theory(equality)]) ).
cnf(19263,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19242,19248,theory(equality)]) ).
cnf(19264,plain,
( n3 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19263,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(19267,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19257,19264,theory(equality)]) ).
cnf(19270,plain,
( n1 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19267,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(19271,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n1),succ(n1))) = esk14_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,19270,theory(equality)]) ).
cnf(19272,plain,
( sum(sum(pred(esk11_0),succ(n1)),sum(pred(n1),succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,19270,theory(equality)]) ).
cnf(19273,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n2) = esk14_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19271,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(19274,plain,
( sum(sum(pred(esk11_0),n2),sum(n0,succ(esk11_0))) = esk13_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19272,223,theory(equality)]),212,theory(equality)]) ).
cnf(19279,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19258,19264,theory(equality)]) ).
cnf(19280,plain,
( n1 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19279,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(19283,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19273,19280,theory(equality)]) ).
cnf(19286,plain,
( n4 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19283,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(19287,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n4),succ(n4))) = esk16_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,19286,theory(equality)]) ).
cnf(19288,plain,
( sum(sum(pred(esk13_0),succ(n4)),sum(pred(n4),succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,19286,theory(equality)]) ).
cnf(19289,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n8) = esk16_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19287,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(19290,plain,
( sum(sum(pred(esk13_0),n5),sum(n3,succ(esk13_0))) = esk15_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19288,220,theory(equality)]),209,theory(equality)]) ).
cnf(19295,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19274,19280,theory(equality)]) ).
cnf(19296,plain,
( n4 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19295,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(19301,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19289,19296,theory(equality)]) ).
cnf(19304,plain,
( n5 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19301,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(19305,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n5),succ(n5))) = esk18_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,19304,theory(equality)]) ).
cnf(19306,plain,
( sum(sum(pred(esk15_0),succ(n5)),sum(pred(n5),succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,19304,theory(equality)]) ).
cnf(19307,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n10) = esk18_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19305,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(19308,plain,
( sum(sum(pred(esk15_0),n6),sum(n4,succ(esk15_0))) = esk17_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19306,219,theory(equality)]),208,theory(equality)]) ).
cnf(19311,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19290,19296,theory(equality)]) ).
cnf(19312,plain,
( n5 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19311,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(19315,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19307,19312,theory(equality)]) ).
cnf(19318,plain,
( n9 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19315,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(19321,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n9),succ(n9))) = esk20_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,19318,theory(equality)]) ).
cnf(19322,plain,
( sum(sum(pred(esk17_0),succ(n9)),sum(pred(n9),succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,19318,theory(equality)]) ).
cnf(19323,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n7) = esk20_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19321,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(19324,plain,
( sum(sum(pred(esk17_0),n10),sum(n8,succ(esk17_0))) = esk19_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19322,215,theory(equality)]),204,theory(equality)]) ).
cnf(19327,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19308,19312,theory(equality)]) ).
cnf(19328,plain,
( n9 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19327,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(19331,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19323,19328,theory(equality)]) ).
cnf(19334,plain,
( n3 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19331,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(19335,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n3),succ(n3))) = esk22_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,19334,theory(equality)]) ).
cnf(19336,plain,
( sum(sum(pred(esk19_0),succ(n3)),sum(pred(n3),succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,19334,theory(equality)]) ).
cnf(19337,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n6) = esk22_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19335,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(19338,plain,
( sum(sum(pred(esk19_0),n4),sum(n2,succ(esk19_0))) = esk21_0
| esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19336,221,theory(equality)]),210,theory(equality)]) ).
cnf(19343,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19324,19328,theory(equality)]) ).
cnf(19344,plain,
( n3 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19343,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(19347,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19337,19344,theory(equality)]) ).
cnf(19350,plain,
( n1 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19347,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(19355,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19338,19344,theory(equality)]) ).
cnf(19356,plain,
( n1 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19355,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(19357,plain,
( esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n1 != esk22_0 ),
inference(spm,[status(thm)],[59,19356,theory(equality)]) ).
cnf(19358,plain,
( esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[19357,19350]) ).
cnf(19359,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n3 != esk20_0 ),
inference(spm,[status(thm)],[19358,19344,theory(equality)]) ).
cnf(19360,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[19359,19334]) ).
cnf(19361,plain,
( esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n9 != esk18_0 ),
inference(spm,[status(thm)],[19360,19328,theory(equality)]) ).
cnf(19362,plain,
( esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[19361,19318]) ).
cnf(19363,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n5 != esk16_0 ),
inference(spm,[status(thm)],[19362,19312,theory(equality)]) ).
cnf(19366,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[19363,19304]) ).
cnf(19367,plain,
( esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n4 != esk14_0 ),
inference(spm,[status(thm)],[19366,19296,theory(equality)]) ).
cnf(19368,plain,
( esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[19367,19286]) ).
cnf(19369,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n1 != esk12_0 ),
inference(spm,[status(thm)],[19368,19280,theory(equality)]) ).
cnf(19370,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[19369,19270]) ).
cnf(19371,plain,
( esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n3 != esk10_0 ),
inference(spm,[status(thm)],[19370,19264,theory(equality)]) ).
cnf(19372,plain,
( esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[19371,19254]) ).
cnf(19373,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n9 != esk8_0 ),
inference(spm,[status(thm)],[19372,19248,theory(equality)]) ).
cnf(19374,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[19373,19238]) ).
cnf(19375,plain,
( esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n5 != esk6_0 ),
inference(spm,[status(thm)],[19374,19230,theory(equality)]) ).
cnf(19376,plain,
( esk1_0 = n1
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[19375,19224]) ).
cnf(19377,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| n4 != esk4_0 ),
inference(spm,[status(thm)],[19376,19210,theory(equality)]) ).
cnf(19378,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(csr,[status(thm)],[19377,19209]) ).
cnf(19390,plain,
( sum(n4,sum(pred(n10),succ(n10))) = esk4_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19207,19378,theory(equality)]) ).
cnf(19391,plain,
( sum(sum(n1,succ(n10)),sum(pred(n10),n3)) = esk3_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19208,19378,theory(equality)]) ).
cnf(19394,plain,
( n2 = esk4_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19390,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),149,theory(equality)]) ).
cnf(19395,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19391,214,theory(equality)]),191,theory(equality)]),203,theory(equality)]),100,theory(equality)]),190,theory(equality)]) ).
cnf(19396,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n2),succ(n2))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,19394,theory(equality)]) ).
cnf(19397,plain,
( sum(sum(pred(esk3_0),succ(n2)),sum(pred(n2),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,19394,theory(equality)]) ).
cnf(19398,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n4) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19396,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(19399,plain,
( sum(sum(pred(esk3_0),n3),sum(n1,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19397,222,theory(equality)]),211,theory(equality)]) ).
cnf(19407,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk6_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19398,19395,theory(equality)]) ).
cnf(19408,plain,
( n8 = esk6_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19407,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(19409,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n8),succ(n8))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,19408,theory(equality)]) ).
cnf(19410,plain,
( sum(sum(pred(esk5_0),succ(n8)),sum(pred(n8),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,19408,theory(equality)]) ).
cnf(19411,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n5) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19409,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(19412,plain,
( sum(sum(pred(esk5_0),n9),sum(n7,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19410,216,theory(equality)]),205,theory(equality)]) ).
cnf(19418,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk5_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19399,19395,theory(equality)]) ).
cnf(19419,plain,
( n8 = esk5_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19418,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(19422,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk8_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19411,19419,theory(equality)]) ).
cnf(19425,plain,
( n10 = esk8_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19422,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(19426,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n10),succ(n10))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,19425,theory(equality)]) ).
cnf(19427,plain,
( sum(sum(pred(esk7_0),succ(n10)),sum(pred(n10),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,19425,theory(equality)]) ).
cnf(19428,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n9) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19426,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(19429,plain,
( sum(sum(pred(esk7_0),n0),sum(n9,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19427,214,theory(equality)]),203,theory(equality)]) ).
cnf(19434,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk7_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19412,19419,theory(equality)]) ).
cnf(19435,plain,
( n10 = esk7_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19434,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(19438,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk10_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19428,19435,theory(equality)]) ).
cnf(19441,plain,
( n7 = esk10_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19438,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(19442,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n7),succ(n7))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,19441,theory(equality)]) ).
cnf(19443,plain,
( sum(sum(pred(esk9_0),succ(n7)),sum(pred(n7),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,19441,theory(equality)]) ).
cnf(19444,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n3) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19442,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(19445,plain,
( sum(sum(pred(esk9_0),n8),sum(n6,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19443,217,theory(equality)]),206,theory(equality)]) ).
cnf(19450,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk9_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19429,19435,theory(equality)]) ).
cnf(19451,plain,
( n7 = esk9_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19450,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(19456,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk12_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19444,19451,theory(equality)]) ).
cnf(19459,plain,
( n6 = esk12_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19456,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(19460,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n6),succ(n6))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,19459,theory(equality)]) ).
cnf(19461,plain,
( sum(sum(pred(esk11_0),succ(n6)),sum(pred(n6),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,19459,theory(equality)]) ).
cnf(19462,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n1) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19460,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(19463,plain,
( sum(sum(pred(esk11_0),n7),sum(n5,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19461,218,theory(equality)]),207,theory(equality)]) ).
cnf(19466,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk11_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19445,19451,theory(equality)]) ).
cnf(19467,plain,
( n6 = esk11_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19466,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(19470,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk14_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19462,19467,theory(equality)]) ).
cnf(19473,plain,
( n2 = esk14_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19470,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(19476,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n2),succ(n2))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,19473,theory(equality)]) ).
cnf(19477,plain,
( sum(sum(pred(esk13_0),succ(n2)),sum(pred(n2),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,19473,theory(equality)]) ).
cnf(19478,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n4) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19476,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(19479,plain,
( sum(sum(pred(esk13_0),n3),sum(n1,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19477,222,theory(equality)]),211,theory(equality)]) ).
cnf(19482,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk13_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19463,19467,theory(equality)]) ).
cnf(19483,plain,
( n2 = esk13_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19482,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(19486,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk16_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19478,19483,theory(equality)]) ).
cnf(19489,plain,
( n8 = esk16_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19486,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(19490,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n8),succ(n8))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,19489,theory(equality)]) ).
cnf(19491,plain,
( sum(sum(pred(esk15_0),succ(n8)),sum(pred(n8),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,19489,theory(equality)]) ).
cnf(19492,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n5) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19490,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(19493,plain,
( sum(sum(pred(esk15_0),n9),sum(n7,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19491,216,theory(equality)]),205,theory(equality)]) ).
cnf(19498,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk15_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19479,19483,theory(equality)]) ).
cnf(19499,plain,
( n8 = esk15_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19498,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(19502,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk18_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19492,19499,theory(equality)]) ).
cnf(19505,plain,
( n10 = esk18_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19502,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(19506,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n10),succ(n10))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,19505,theory(equality)]) ).
cnf(19507,plain,
( sum(sum(pred(esk17_0),succ(n10)),sum(pred(n10),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,19505,theory(equality)]) ).
cnf(19508,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n9) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19506,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(19509,plain,
( sum(sum(pred(esk17_0),n0),sum(n9,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19507,214,theory(equality)]),203,theory(equality)]) ).
cnf(19514,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk17_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19493,19499,theory(equality)]) ).
cnf(19515,plain,
( n10 = esk17_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19514,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(19518,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk20_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19508,19515,theory(equality)]) ).
cnf(19521,plain,
( n7 = esk20_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19518,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(19522,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n7),succ(n7))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,19521,theory(equality)]) ).
cnf(19523,plain,
( sum(sum(pred(esk19_0),succ(n7)),sum(pred(n7),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,19521,theory(equality)]) ).
cnf(19524,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n3) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19522,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(19525,plain,
( sum(sum(pred(esk19_0),n8),sum(n6,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19523,217,theory(equality)]),206,theory(equality)]) ).
cnf(19530,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk19_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19509,19515,theory(equality)]) ).
cnf(19531,plain,
( n7 = esk19_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19530,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(19534,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk22_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19524,19531,theory(equality)]) ).
cnf(19537,plain,
( n6 = esk22_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19534,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(19542,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk21_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19525,19531,theory(equality)]) ).
cnf(19543,plain,
( n6 = esk21_0
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19542,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(19544,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n6 != esk22_0 ),
inference(spm,[status(thm)],[59,19543,theory(equality)]) ).
cnf(19547,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[19544,19537]) ).
cnf(19548,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n7 != esk20_0 ),
inference(spm,[status(thm)],[19547,19531,theory(equality)]) ).
cnf(19549,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[19548,19521]) ).
cnf(19550,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n10 != esk18_0 ),
inference(spm,[status(thm)],[19549,19515,theory(equality)]) ).
cnf(19551,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[19550,19505]) ).
cnf(19552,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n8 != esk16_0 ),
inference(spm,[status(thm)],[19551,19499,theory(equality)]) ).
cnf(19553,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[19552,19489]) ).
cnf(19554,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n2 != esk14_0 ),
inference(spm,[status(thm)],[19553,19483,theory(equality)]) ).
cnf(19555,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[19554,19473]) ).
cnf(19556,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n6 != esk12_0 ),
inference(spm,[status(thm)],[19555,19467,theory(equality)]) ).
cnf(19557,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[19556,19459]) ).
cnf(19558,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n7 != esk10_0 ),
inference(spm,[status(thm)],[19557,19451,theory(equality)]) ).
cnf(19559,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[19558,19441]) ).
cnf(19560,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n10 != esk8_0 ),
inference(spm,[status(thm)],[19559,19435,theory(equality)]) ).
cnf(19561,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[19560,19425]) ).
cnf(19562,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk3_0 != esk4_0
| n8 != esk6_0 ),
inference(spm,[status(thm)],[19561,19419,theory(equality)]) ).
cnf(19563,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[19562,19408]) ).
cnf(19564,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != esk4_0 ),
inference(spm,[status(thm)],[19563,19395,theory(equality)]) ).
cnf(19565,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[19564,19394]) ).
cnf(19576,plain,
( sum(n4,sum(pred(n9),succ(n9))) = esk4_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19207,19565,theory(equality)]) ).
cnf(19577,plain,
( sum(sum(n1,succ(n9)),sum(pred(n9),n3)) = esk3_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19208,19565,theory(equality)]) ).
cnf(19580,plain,
( n0 = esk4_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19576,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),151,theory(equality)]) ).
cnf(19581,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19577,215,theory(equality)]),181,theory(equality)]),204,theory(equality)]),111,theory(equality)]),202,theory(equality)]) ).
cnf(19582,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n0),succ(n0))) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,19580,theory(equality)]) ).
cnf(19583,plain,
( sum(sum(pred(esk3_0),succ(n0)),sum(pred(n0),succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,19580,theory(equality)]) ).
cnf(19584,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n0) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19582,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(19585,plain,
( sum(sum(pred(esk3_0),n1),sum(n10,succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19583,224,theory(equality)]),213,theory(equality)]) ).
cnf(19596,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk6_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19584,19581,theory(equality)]) ).
cnf(19597,plain,
( n0 = esk6_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19596,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19598,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n0),succ(n0))) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,19597,theory(equality)]) ).
cnf(19599,plain,
( sum(sum(pred(esk5_0),succ(n0)),sum(pred(n0),succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,19597,theory(equality)]) ).
cnf(19600,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n0) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19598,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(19601,plain,
( sum(sum(pred(esk5_0),n1),sum(n10,succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19599,224,theory(equality)]),213,theory(equality)]) ).
cnf(19604,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk5_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19585,19581,theory(equality)]) ).
cnf(19605,plain,
( n0 = esk5_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19604,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19608,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk8_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19600,19605,theory(equality)]) ).
cnf(19611,plain,
( n0 = esk8_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19608,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19614,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n0),succ(n0))) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,19611,theory(equality)]) ).
cnf(19615,plain,
( sum(sum(pred(esk7_0),succ(n0)),sum(pred(n0),succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,19611,theory(equality)]) ).
cnf(19616,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n0) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19614,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(19617,plain,
( sum(sum(pred(esk7_0),n1),sum(n10,succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19615,224,theory(equality)]),213,theory(equality)]) ).
cnf(19620,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk7_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19601,19605,theory(equality)]) ).
cnf(19621,plain,
( n0 = esk7_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19620,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19624,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk10_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19616,19621,theory(equality)]) ).
cnf(19627,plain,
( n0 = esk10_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19624,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19628,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n0),succ(n0))) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,19627,theory(equality)]) ).
cnf(19629,plain,
( sum(sum(pred(esk9_0),succ(n0)),sum(pred(n0),succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,19627,theory(equality)]) ).
cnf(19630,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n0) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19628,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(19631,plain,
( sum(sum(pred(esk9_0),n1),sum(n10,succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19629,224,theory(equality)]),213,theory(equality)]) ).
cnf(19636,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk9_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19617,19621,theory(equality)]) ).
cnf(19637,plain,
( n0 = esk9_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19636,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19640,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk12_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19630,19637,theory(equality)]) ).
cnf(19643,plain,
( n0 = esk12_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19640,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19644,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n0),succ(n0))) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,19643,theory(equality)]) ).
cnf(19645,plain,
( sum(sum(pred(esk11_0),succ(n0)),sum(pred(n0),succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,19643,theory(equality)]) ).
cnf(19646,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n0) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19644,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(19647,plain,
( sum(sum(pred(esk11_0),n1),sum(n10,succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19645,224,theory(equality)]),213,theory(equality)]) ).
cnf(19652,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk11_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19631,19637,theory(equality)]) ).
cnf(19653,plain,
( n0 = esk11_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19652,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19656,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk14_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19646,19653,theory(equality)]) ).
cnf(19659,plain,
( n0 = esk14_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19656,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19660,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n0),succ(n0))) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,19659,theory(equality)]) ).
cnf(19661,plain,
( sum(sum(pred(esk13_0),succ(n0)),sum(pred(n0),succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,19659,theory(equality)]) ).
cnf(19662,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n0) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19660,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(19663,plain,
( sum(sum(pred(esk13_0),n1),sum(n10,succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19661,224,theory(equality)]),213,theory(equality)]) ).
cnf(19668,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk13_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19647,19653,theory(equality)]) ).
cnf(19669,plain,
( n0 = esk13_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19668,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19672,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk16_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19662,19669,theory(equality)]) ).
cnf(19675,plain,
( n0 = esk16_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19672,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19676,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n0),succ(n0))) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,19675,theory(equality)]) ).
cnf(19677,plain,
( sum(sum(pred(esk15_0),succ(n0)),sum(pred(n0),succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,19675,theory(equality)]) ).
cnf(19678,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n0) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19676,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(19679,plain,
( sum(sum(pred(esk15_0),n1),sum(n10,succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19677,224,theory(equality)]),213,theory(equality)]) ).
cnf(19684,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk15_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19663,19669,theory(equality)]) ).
cnf(19685,plain,
( n0 = esk15_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19684,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19688,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk18_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19678,19685,theory(equality)]) ).
cnf(19691,plain,
( n0 = esk18_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19688,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19692,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n0),succ(n0))) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,19691,theory(equality)]) ).
cnf(19693,plain,
( sum(sum(pred(esk17_0),succ(n0)),sum(pred(n0),succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,19691,theory(equality)]) ).
cnf(19694,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n0) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19692,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(19695,plain,
( sum(sum(pred(esk17_0),n1),sum(n10,succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19693,224,theory(equality)]),213,theory(equality)]) ).
cnf(19700,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk17_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19679,19685,theory(equality)]) ).
cnf(19701,plain,
( n0 = esk17_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19700,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19704,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk20_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19694,19701,theory(equality)]) ).
cnf(19707,plain,
( n0 = esk20_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19704,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19708,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n0),succ(n0))) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,19707,theory(equality)]) ).
cnf(19709,plain,
( sum(sum(pred(esk19_0),succ(n0)),sum(pred(n0),succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,19707,theory(equality)]) ).
cnf(19710,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n0) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19708,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(19711,plain,
( sum(sum(pred(esk19_0),n1),sum(n10,succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19709,224,theory(equality)]),213,theory(equality)]) ).
cnf(19716,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk19_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19695,19701,theory(equality)]) ).
cnf(19717,plain,
( n0 = esk19_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19716,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19720,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk22_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19710,19717,theory(equality)]) ).
cnf(19723,plain,
( n0 = esk22_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19720,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19728,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk21_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[19711,19717,theory(equality)]) ).
cnf(19729,plain,
( n0 = esk21_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19728,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(19730,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n0 != esk22_0 ),
inference(spm,[status(thm)],[59,19729,theory(equality)]) ).
cnf(19733,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[19730,19723]) ).
cnf(19734,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n0 != esk20_0 ),
inference(spm,[status(thm)],[19733,19717,theory(equality)]) ).
cnf(19735,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[19734,19707]) ).
cnf(19736,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n0 != esk18_0 ),
inference(spm,[status(thm)],[19735,19701,theory(equality)]) ).
cnf(19737,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[19736,19691]) ).
cnf(19738,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n0 != esk16_0 ),
inference(spm,[status(thm)],[19737,19685,theory(equality)]) ).
cnf(19739,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[19738,19675]) ).
cnf(19740,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n0 != esk14_0 ),
inference(spm,[status(thm)],[19739,19669,theory(equality)]) ).
cnf(19741,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[19740,19659]) ).
cnf(19742,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n0 != esk12_0 ),
inference(spm,[status(thm)],[19741,19653,theory(equality)]) ).
cnf(19743,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[19742,19643]) ).
cnf(19744,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n0 != esk10_0 ),
inference(spm,[status(thm)],[19743,19637,theory(equality)]) ).
cnf(19745,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[19744,19627]) ).
cnf(19746,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n0 != esk8_0 ),
inference(spm,[status(thm)],[19745,19621,theory(equality)]) ).
cnf(19747,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[19746,19611]) ).
cnf(19748,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| n0 != esk6_0 ),
inference(spm,[status(thm)],[19747,19605,theory(equality)]) ).
cnf(19749,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[19748,19597]) ).
cnf(19750,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n0 != esk4_0 ),
inference(spm,[status(thm)],[19749,19581,theory(equality)]) ).
cnf(19751,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(csr,[status(thm)],[19750,19580]) ).
cnf(19761,plain,
( sum(n4,sum(pred(n8),succ(n8))) = esk4_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19207,19751,theory(equality)]) ).
cnf(19762,plain,
( sum(sum(n1,succ(n8)),sum(pred(n8),n3)) = esk3_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19208,19751,theory(equality)]) ).
cnf(19765,plain,
( n9 = esk4_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19761,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),153,theory(equality)]) ).
cnf(19766,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19762,216,theory(equality)]),182,theory(equality)]),205,theory(equality)]),122,theory(equality)]),82,theory(equality)]) ).
cnf(19767,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n9),succ(n9))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,19765,theory(equality)]) ).
cnf(19768,plain,
( sum(sum(pred(esk3_0),succ(n9)),sum(pred(n9),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,19765,theory(equality)]) ).
cnf(19769,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n7) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19767,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(19770,plain,
( sum(sum(pred(esk3_0),n10),sum(n8,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19768,215,theory(equality)]),204,theory(equality)]) ).
cnf(19778,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk6_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19769,19766,theory(equality)]) ).
cnf(19779,plain,
( n3 = esk6_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19778,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(19780,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n3),succ(n3))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,19779,theory(equality)]) ).
cnf(19781,plain,
( sum(sum(pred(esk5_0),succ(n3)),sum(pred(n3),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,19779,theory(equality)]) ).
cnf(19782,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n6) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19780,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(19783,plain,
( sum(sum(pred(esk5_0),n4),sum(n2,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19781,221,theory(equality)]),210,theory(equality)]) ).
cnf(19789,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk5_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19770,19766,theory(equality)]) ).
cnf(19790,plain,
( n3 = esk5_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19789,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(19793,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk8_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19782,19790,theory(equality)]) ).
cnf(19796,plain,
( n1 = esk8_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19793,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(19797,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n1),succ(n1))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,19796,theory(equality)]) ).
cnf(19798,plain,
( sum(sum(pred(esk7_0),succ(n1)),sum(pred(n1),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,19796,theory(equality)]) ).
cnf(19799,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n2) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19797,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(19800,plain,
( sum(sum(pred(esk7_0),n2),sum(n0,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19798,223,theory(equality)]),212,theory(equality)]) ).
cnf(19805,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk7_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19783,19790,theory(equality)]) ).
cnf(19806,plain,
( n1 = esk7_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19805,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(19809,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk10_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19799,19806,theory(equality)]) ).
cnf(19812,plain,
( n4 = esk10_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19809,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(19813,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n4),succ(n4))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,19812,theory(equality)]) ).
cnf(19814,plain,
( sum(sum(pred(esk9_0),succ(n4)),sum(pred(n4),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,19812,theory(equality)]) ).
cnf(19815,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n8) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19813,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(19816,plain,
( sum(sum(pred(esk9_0),n5),sum(n3,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19814,220,theory(equality)]),209,theory(equality)]) ).
cnf(19821,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk9_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19800,19806,theory(equality)]) ).
cnf(19822,plain,
( n4 = esk9_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19821,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(19825,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk12_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19815,19822,theory(equality)]) ).
cnf(19828,plain,
( n5 = esk12_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19825,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(19829,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n5),succ(n5))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,19828,theory(equality)]) ).
cnf(19830,plain,
( sum(sum(pred(esk11_0),succ(n5)),sum(pred(n5),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,19828,theory(equality)]) ).
cnf(19831,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n10) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19829,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(19832,plain,
( sum(sum(pred(esk11_0),n6),sum(n4,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19830,219,theory(equality)]),208,theory(equality)]) ).
cnf(19837,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk11_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19816,19822,theory(equality)]) ).
cnf(19838,plain,
( n5 = esk11_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19837,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(19841,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk14_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19831,19838,theory(equality)]) ).
cnf(19844,plain,
( n9 = esk14_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19841,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(19845,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n9),succ(n9))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,19844,theory(equality)]) ).
cnf(19846,plain,
( sum(sum(pred(esk13_0),succ(n9)),sum(pred(n9),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,19844,theory(equality)]) ).
cnf(19847,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n7) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19845,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(19848,plain,
( sum(sum(pred(esk13_0),n10),sum(n8,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19846,215,theory(equality)]),204,theory(equality)]) ).
cnf(19853,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk13_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19832,19838,theory(equality)]) ).
cnf(19854,plain,
( n9 = esk13_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19853,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(19859,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk16_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19847,19854,theory(equality)]) ).
cnf(19862,plain,
( n3 = esk16_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19859,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(19863,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n3),succ(n3))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,19862,theory(equality)]) ).
cnf(19864,plain,
( sum(sum(pred(esk15_0),succ(n3)),sum(pred(n3),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,19862,theory(equality)]) ).
cnf(19865,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n6) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19863,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(19866,plain,
( sum(sum(pred(esk15_0),n4),sum(n2,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19864,221,theory(equality)]),210,theory(equality)]) ).
cnf(19869,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk15_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19848,19854,theory(equality)]) ).
cnf(19870,plain,
( n3 = esk15_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19869,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(19873,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk18_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19865,19870,theory(equality)]) ).
cnf(19876,plain,
( n1 = esk18_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19873,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(19879,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n1),succ(n1))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,19876,theory(equality)]) ).
cnf(19880,plain,
( sum(sum(pred(esk17_0),succ(n1)),sum(pred(n1),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,19876,theory(equality)]) ).
cnf(19881,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n2) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19879,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(19882,plain,
( sum(sum(pred(esk17_0),n2),sum(n0,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19880,223,theory(equality)]),212,theory(equality)]) ).
cnf(19885,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk17_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19866,19870,theory(equality)]) ).
cnf(19886,plain,
( n1 = esk17_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19885,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(19889,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk20_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19881,19886,theory(equality)]) ).
cnf(19892,plain,
( n4 = esk20_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19889,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(19893,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n4),succ(n4))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,19892,theory(equality)]) ).
cnf(19894,plain,
( sum(sum(pred(esk19_0),succ(n4)),sum(pred(n4),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,19892,theory(equality)]) ).
cnf(19895,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n8) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19893,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(19896,plain,
( sum(sum(pred(esk19_0),n5),sum(n3,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19894,220,theory(equality)]),209,theory(equality)]) ).
cnf(19901,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk19_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19882,19886,theory(equality)]) ).
cnf(19902,plain,
( n4 = esk19_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19901,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(19905,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk22_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19895,19902,theory(equality)]) ).
cnf(19908,plain,
( n5 = esk22_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19905,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(19913,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk21_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19896,19902,theory(equality)]) ).
cnf(19914,plain,
( n5 = esk21_0
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19913,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(19915,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n5 != esk22_0 ),
inference(spm,[status(thm)],[59,19914,theory(equality)]) ).
cnf(19916,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[19915,19908]) ).
cnf(19917,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n4 != esk20_0 ),
inference(spm,[status(thm)],[19916,19902,theory(equality)]) ).
cnf(19918,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[19917,19892]) ).
cnf(19919,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n1 != esk18_0 ),
inference(spm,[status(thm)],[19918,19886,theory(equality)]) ).
cnf(19920,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[19919,19876]) ).
cnf(19921,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n3 != esk16_0 ),
inference(spm,[status(thm)],[19920,19870,theory(equality)]) ).
cnf(19924,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[19921,19862]) ).
cnf(19925,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n9 != esk14_0 ),
inference(spm,[status(thm)],[19924,19854,theory(equality)]) ).
cnf(19926,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[19925,19844]) ).
cnf(19927,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n5 != esk12_0 ),
inference(spm,[status(thm)],[19926,19838,theory(equality)]) ).
cnf(19928,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[19927,19828]) ).
cnf(19929,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n4 != esk10_0 ),
inference(spm,[status(thm)],[19928,19822,theory(equality)]) ).
cnf(19930,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[19929,19812]) ).
cnf(19931,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n1 != esk8_0 ),
inference(spm,[status(thm)],[19930,19806,theory(equality)]) ).
cnf(19932,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[19931,19796]) ).
cnf(19933,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk3_0 != esk4_0
| n3 != esk6_0 ),
inference(spm,[status(thm)],[19932,19790,theory(equality)]) ).
cnf(19934,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[19933,19779]) ).
cnf(19935,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n9 != esk4_0 ),
inference(spm,[status(thm)],[19934,19766,theory(equality)]) ).
cnf(19936,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[19935,19765]) ).
cnf(19945,plain,
( sum(n4,sum(pred(n7),succ(n7))) = esk4_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[19207,19936,theory(equality)]) ).
cnf(19946,plain,
( sum(sum(n1,succ(n7)),sum(pred(n7),n3)) = esk3_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[19208,19936,theory(equality)]) ).
cnf(19949,plain,
( n7 = esk4_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19945,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),155,theory(equality)]) ).
cnf(19950,plain,
( n7 = esk3_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19946,217,theory(equality)]),183,theory(equality)]),206,theory(equality)]),133,theory(equality)]),94,theory(equality)]) ).
cnf(19951,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n7),succ(n7))) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,19949,theory(equality)]) ).
cnf(19952,plain,
( sum(sum(pred(esk3_0),succ(n7)),sum(pred(n7),succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,19949,theory(equality)]) ).
cnf(19953,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n3) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19951,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(19954,plain,
( sum(sum(pred(esk3_0),n8),sum(n6,succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19952,217,theory(equality)]),206,theory(equality)]) ).
cnf(19965,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk6_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[19953,19950,theory(equality)]) ).
cnf(19966,plain,
( n6 = esk6_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19965,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(19967,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n6),succ(n6))) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,19966,theory(equality)]) ).
cnf(19968,plain,
( sum(sum(pred(esk5_0),succ(n6)),sum(pred(n6),succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,19966,theory(equality)]) ).
cnf(19969,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n1) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19967,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(19970,plain,
( sum(sum(pred(esk5_0),n7),sum(n5,succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19968,218,theory(equality)]),207,theory(equality)]) ).
cnf(19973,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk5_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[19954,19950,theory(equality)]) ).
cnf(19974,plain,
( n6 = esk5_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19973,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(19977,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk8_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[19969,19974,theory(equality)]) ).
cnf(19980,plain,
( n2 = esk8_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19977,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(19983,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n2),succ(n2))) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,19980,theory(equality)]) ).
cnf(19984,plain,
( sum(sum(pred(esk7_0),succ(n2)),sum(pred(n2),succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,19980,theory(equality)]) ).
cnf(19985,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n4) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19983,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(19986,plain,
( sum(sum(pred(esk7_0),n3),sum(n1,succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19984,222,theory(equality)]),211,theory(equality)]) ).
cnf(19989,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk7_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[19970,19974,theory(equality)]) ).
cnf(19990,plain,
( n2 = esk7_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19989,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(19993,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk10_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[19985,19990,theory(equality)]) ).
cnf(19996,plain,
( n8 = esk10_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19993,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(19997,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n8),succ(n8))) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,19996,theory(equality)]) ).
cnf(19998,plain,
( sum(sum(pred(esk9_0),succ(n8)),sum(pred(n8),succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,19996,theory(equality)]) ).
cnf(19999,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n5) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19997,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(20000,plain,
( sum(sum(pred(esk9_0),n9),sum(n7,succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[19998,216,theory(equality)]),205,theory(equality)]) ).
cnf(20005,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk9_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[19986,19990,theory(equality)]) ).
cnf(20006,plain,
( n8 = esk9_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20005,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(20009,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk12_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[19999,20006,theory(equality)]) ).
cnf(20012,plain,
( n10 = esk12_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20009,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(20013,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n10),succ(n10))) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,20012,theory(equality)]) ).
cnf(20014,plain,
( sum(sum(pred(esk11_0),succ(n10)),sum(pred(n10),succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,20012,theory(equality)]) ).
cnf(20015,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n9) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20013,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(20016,plain,
( sum(sum(pred(esk11_0),n0),sum(n9,succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20014,214,theory(equality)]),203,theory(equality)]) ).
cnf(20021,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk11_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[20000,20006,theory(equality)]) ).
cnf(20022,plain,
( n10 = esk11_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20021,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(20025,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk14_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[20015,20022,theory(equality)]) ).
cnf(20028,plain,
( n7 = esk14_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20025,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(20029,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n7),succ(n7))) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,20028,theory(equality)]) ).
cnf(20030,plain,
( sum(sum(pred(esk13_0),succ(n7)),sum(pred(n7),succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,20028,theory(equality)]) ).
cnf(20031,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n3) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20029,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(20032,plain,
( sum(sum(pred(esk13_0),n8),sum(n6,succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20030,217,theory(equality)]),206,theory(equality)]) ).
cnf(20037,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk13_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[20016,20022,theory(equality)]) ).
cnf(20038,plain,
( n7 = esk13_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20037,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(20041,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk16_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[20031,20038,theory(equality)]) ).
cnf(20044,plain,
( n6 = esk16_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20041,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(20045,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n6),succ(n6))) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,20044,theory(equality)]) ).
cnf(20046,plain,
( sum(sum(pred(esk15_0),succ(n6)),sum(pred(n6),succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,20044,theory(equality)]) ).
cnf(20047,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n1) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20045,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(20048,plain,
( sum(sum(pred(esk15_0),n7),sum(n5,succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20046,218,theory(equality)]),207,theory(equality)]) ).
cnf(20053,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk15_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[20032,20038,theory(equality)]) ).
cnf(20054,plain,
( n6 = esk15_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20053,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(20057,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk18_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[20047,20054,theory(equality)]) ).
cnf(20060,plain,
( n2 = esk18_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20057,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(20061,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n2),succ(n2))) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,20060,theory(equality)]) ).
cnf(20062,plain,
( sum(sum(pred(esk17_0),succ(n2)),sum(pred(n2),succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,20060,theory(equality)]) ).
cnf(20063,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n4) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20061,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(20064,plain,
( sum(sum(pred(esk17_0),n3),sum(n1,succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20062,222,theory(equality)]),211,theory(equality)]) ).
cnf(20069,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk17_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[20048,20054,theory(equality)]) ).
cnf(20070,plain,
( n2 = esk17_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20069,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(20073,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk20_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[20063,20070,theory(equality)]) ).
cnf(20076,plain,
( n8 = esk20_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20073,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(20077,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n8),succ(n8))) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,20076,theory(equality)]) ).
cnf(20078,plain,
( sum(sum(pred(esk19_0),succ(n8)),sum(pred(n8),succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,20076,theory(equality)]) ).
cnf(20079,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n5) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20077,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(20080,plain,
( sum(sum(pred(esk19_0),n9),sum(n7,succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20078,216,theory(equality)]),205,theory(equality)]) ).
cnf(20085,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk19_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[20064,20070,theory(equality)]) ).
cnf(20086,plain,
( n8 = esk19_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20085,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(20089,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk22_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[20079,20086,theory(equality)]) ).
cnf(20092,plain,
( n10 = esk22_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20089,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(20097,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk21_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[20080,20086,theory(equality)]) ).
cnf(20098,plain,
( n10 = esk21_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20097,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(20099,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n10 != esk22_0 ),
inference(spm,[status(thm)],[59,20098,theory(equality)]) ).
cnf(20102,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[20099,20092]) ).
cnf(20103,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n8 != esk20_0 ),
inference(spm,[status(thm)],[20102,20086,theory(equality)]) ).
cnf(20104,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[20103,20076]) ).
cnf(20105,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n2 != esk18_0 ),
inference(spm,[status(thm)],[20104,20070,theory(equality)]) ).
cnf(20106,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[20105,20060]) ).
cnf(20107,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n6 != esk16_0 ),
inference(spm,[status(thm)],[20106,20054,theory(equality)]) ).
cnf(20108,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[20107,20044]) ).
cnf(20109,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n7 != esk14_0 ),
inference(spm,[status(thm)],[20108,20038,theory(equality)]) ).
cnf(20110,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[20109,20028]) ).
cnf(20111,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n10 != esk12_0 ),
inference(spm,[status(thm)],[20110,20022,theory(equality)]) ).
cnf(20112,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[20111,20012]) ).
cnf(20113,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n8 != esk10_0 ),
inference(spm,[status(thm)],[20112,20006,theory(equality)]) ).
cnf(20114,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[20113,19996]) ).
cnf(20115,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n2 != esk8_0 ),
inference(spm,[status(thm)],[20114,19990,theory(equality)]) ).
cnf(20116,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[20115,19980]) ).
cnf(20117,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| n6 != esk6_0 ),
inference(spm,[status(thm)],[20116,19974,theory(equality)]) ).
cnf(20118,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[20117,19966]) ).
cnf(20119,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n7 != esk4_0 ),
inference(spm,[status(thm)],[20118,19950,theory(equality)]) ).
cnf(20120,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(csr,[status(thm)],[20119,19949]) ).
cnf(20128,plain,
( sum(n4,sum(pred(n6),succ(n6))) = esk4_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19207,20120,theory(equality)]) ).
cnf(20129,plain,
( sum(sum(n1,succ(n6)),sum(pred(n6),n3)) = esk3_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19208,20120,theory(equality)]) ).
cnf(20132,plain,
( n5 = esk4_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20128,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),157,theory(equality)]) ).
cnf(20133,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20129,218,theory(equality)]),184,theory(equality)]),207,theory(equality)]),144,theory(equality)]),106,theory(equality)]) ).
cnf(20134,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n5),succ(n5))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,20132,theory(equality)]) ).
cnf(20135,plain,
( sum(sum(pred(esk3_0),succ(n5)),sum(pred(n5),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,20132,theory(equality)]) ).
cnf(20136,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n10) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20134,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(20137,plain,
( sum(sum(pred(esk3_0),n6),sum(n4,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20135,219,theory(equality)]),208,theory(equality)]) ).
cnf(20145,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk6_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20136,20133,theory(equality)]) ).
cnf(20146,plain,
( n9 = esk6_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20145,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20147,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n9),succ(n9))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,20146,theory(equality)]) ).
cnf(20148,plain,
( sum(sum(pred(esk5_0),succ(n9)),sum(pred(n9),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,20146,theory(equality)]) ).
cnf(20149,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n7) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20147,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(20150,plain,
( sum(sum(pred(esk5_0),n10),sum(n8,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20148,215,theory(equality)]),204,theory(equality)]) ).
cnf(20156,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk5_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20137,20133,theory(equality)]) ).
cnf(20157,plain,
( n9 = esk5_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20156,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20160,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk8_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20149,20157,theory(equality)]) ).
cnf(20163,plain,
( n3 = esk8_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20160,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(20164,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n3),succ(n3))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,20163,theory(equality)]) ).
cnf(20165,plain,
( sum(sum(pred(esk7_0),succ(n3)),sum(pred(n3),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,20163,theory(equality)]) ).
cnf(20166,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n6) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20164,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(20167,plain,
( sum(sum(pred(esk7_0),n4),sum(n2,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20165,221,theory(equality)]),210,theory(equality)]) ).
cnf(20172,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk7_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20150,20157,theory(equality)]) ).
cnf(20173,plain,
( n3 = esk7_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20172,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(20176,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk10_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20166,20173,theory(equality)]) ).
cnf(20179,plain,
( n1 = esk10_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20176,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(20180,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n1),succ(n1))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,20179,theory(equality)]) ).
cnf(20181,plain,
( sum(sum(pred(esk9_0),succ(n1)),sum(pred(n1),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,20179,theory(equality)]) ).
cnf(20182,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n2) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20180,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(20183,plain,
( sum(sum(pred(esk9_0),n2),sum(n0,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20181,223,theory(equality)]),212,theory(equality)]) ).
cnf(20188,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk9_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20167,20173,theory(equality)]) ).
cnf(20189,plain,
( n1 = esk9_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20188,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(20194,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk12_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20182,20189,theory(equality)]) ).
cnf(20197,plain,
( n4 = esk12_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20194,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20198,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n4),succ(n4))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,20197,theory(equality)]) ).
cnf(20199,plain,
( sum(sum(pred(esk11_0),succ(n4)),sum(pred(n4),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,20197,theory(equality)]) ).
cnf(20200,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n8) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20198,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(20201,plain,
( sum(sum(pred(esk11_0),n5),sum(n3,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20199,220,theory(equality)]),209,theory(equality)]) ).
cnf(20204,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk11_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20183,20189,theory(equality)]) ).
cnf(20205,plain,
( n4 = esk11_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20204,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20208,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk14_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20200,20205,theory(equality)]) ).
cnf(20211,plain,
( n5 = esk14_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20208,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(20214,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n5),succ(n5))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,20211,theory(equality)]) ).
cnf(20215,plain,
( sum(sum(pred(esk13_0),succ(n5)),sum(pred(n5),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,20211,theory(equality)]) ).
cnf(20216,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n10) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20214,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(20217,plain,
( sum(sum(pred(esk13_0),n6),sum(n4,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20215,219,theory(equality)]),208,theory(equality)]) ).
cnf(20220,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk13_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20201,20205,theory(equality)]) ).
cnf(20221,plain,
( n5 = esk13_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20220,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(20224,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk16_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20216,20221,theory(equality)]) ).
cnf(20227,plain,
( n9 = esk16_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20224,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20228,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n9),succ(n9))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,20227,theory(equality)]) ).
cnf(20229,plain,
( sum(sum(pred(esk15_0),succ(n9)),sum(pred(n9),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,20227,theory(equality)]) ).
cnf(20230,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n7) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20228,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(20231,plain,
( sum(sum(pred(esk15_0),n10),sum(n8,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20229,215,theory(equality)]),204,theory(equality)]) ).
cnf(20236,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk15_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20217,20221,theory(equality)]) ).
cnf(20237,plain,
( n9 = esk15_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20236,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20240,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk18_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20230,20237,theory(equality)]) ).
cnf(20243,plain,
( n3 = esk18_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20240,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(20244,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n3),succ(n3))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,20243,theory(equality)]) ).
cnf(20245,plain,
( sum(sum(pred(esk17_0),succ(n3)),sum(pred(n3),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,20243,theory(equality)]) ).
cnf(20246,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n6) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20244,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(20247,plain,
( sum(sum(pred(esk17_0),n4),sum(n2,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20245,221,theory(equality)]),210,theory(equality)]) ).
cnf(20252,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk17_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20231,20237,theory(equality)]) ).
cnf(20253,plain,
( n3 = esk17_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20252,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(20256,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk20_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20246,20253,theory(equality)]) ).
cnf(20259,plain,
( n1 = esk20_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20256,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(20260,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n1),succ(n1))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,20259,theory(equality)]) ).
cnf(20261,plain,
( sum(sum(pred(esk19_0),succ(n1)),sum(pred(n1),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,20259,theory(equality)]) ).
cnf(20262,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n2) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20260,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(20263,plain,
( sum(sum(pred(esk19_0),n2),sum(n0,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20261,223,theory(equality)]),212,theory(equality)]) ).
cnf(20268,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk19_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20247,20253,theory(equality)]) ).
cnf(20269,plain,
( n1 = esk19_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20268,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(20272,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk22_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20262,20269,theory(equality)]) ).
cnf(20275,plain,
( n4 = esk22_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20272,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20280,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk21_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20263,20269,theory(equality)]) ).
cnf(20281,plain,
( n4 = esk21_0
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20280,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20282,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n4 != esk22_0 ),
inference(spm,[status(thm)],[59,20281,theory(equality)]) ).
cnf(20285,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[20282,20275]) ).
cnf(20286,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n1 != esk20_0 ),
inference(spm,[status(thm)],[20285,20269,theory(equality)]) ).
cnf(20287,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[20286,20259]) ).
cnf(20288,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n3 != esk18_0 ),
inference(spm,[status(thm)],[20287,20253,theory(equality)]) ).
cnf(20289,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[20288,20243]) ).
cnf(20290,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n9 != esk16_0 ),
inference(spm,[status(thm)],[20289,20237,theory(equality)]) ).
cnf(20291,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[20290,20227]) ).
cnf(20292,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n5 != esk14_0 ),
inference(spm,[status(thm)],[20291,20221,theory(equality)]) ).
cnf(20293,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[20292,20211]) ).
cnf(20294,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n4 != esk12_0 ),
inference(spm,[status(thm)],[20293,20205,theory(equality)]) ).
cnf(20295,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[20294,20197]) ).
cnf(20296,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n1 != esk10_0 ),
inference(spm,[status(thm)],[20295,20189,theory(equality)]) ).
cnf(20297,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[20296,20179]) ).
cnf(20298,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n3 != esk8_0 ),
inference(spm,[status(thm)],[20297,20173,theory(equality)]) ).
cnf(20299,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[20298,20163]) ).
cnf(20300,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk3_0 != esk4_0
| n9 != esk6_0 ),
inference(spm,[status(thm)],[20299,20157,theory(equality)]) ).
cnf(20301,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[20300,20146]) ).
cnf(20302,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n5 != esk4_0 ),
inference(spm,[status(thm)],[20301,20133,theory(equality)]) ).
cnf(20303,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[20302,20132]) ).
cnf(20310,plain,
( sum(n4,sum(pred(n5),succ(n5))) = esk4_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[19207,20303,theory(equality)]) ).
cnf(20311,plain,
( sum(sum(n1,succ(n5)),sum(pred(n5),n3)) = esk3_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[19208,20303,theory(equality)]) ).
cnf(20314,plain,
( n3 = esk4_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20310,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),148,theory(equality)]) ).
cnf(20315,plain,
( n3 = esk3_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20311,219,theory(equality)]),185,theory(equality)]),208,theory(equality)]),155,theory(equality)]),118,theory(equality)]) ).
cnf(20316,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n3),succ(n3))) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,20314,theory(equality)]) ).
cnf(20317,plain,
( sum(sum(pred(esk3_0),succ(n3)),sum(pred(n3),succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,20314,theory(equality)]) ).
cnf(20318,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n6) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20316,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(20319,plain,
( sum(sum(pred(esk3_0),n4),sum(n2,succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20317,221,theory(equality)]),210,theory(equality)]) ).
cnf(20327,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk6_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20318,20315,theory(equality)]) ).
cnf(20328,plain,
( n1 = esk6_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20327,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(20329,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n1),succ(n1))) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,20328,theory(equality)]) ).
cnf(20330,plain,
( sum(sum(pred(esk5_0),succ(n1)),sum(pred(n1),succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,20328,theory(equality)]) ).
cnf(20331,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n2) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20329,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(20332,plain,
( sum(sum(pred(esk5_0),n2),sum(n0,succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20330,223,theory(equality)]),212,theory(equality)]) ).
cnf(20338,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk5_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20319,20315,theory(equality)]) ).
cnf(20339,plain,
( n1 = esk5_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20338,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(20342,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk8_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20331,20339,theory(equality)]) ).
cnf(20345,plain,
( n4 = esk8_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20342,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20346,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n4),succ(n4))) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,20345,theory(equality)]) ).
cnf(20347,plain,
( sum(sum(pred(esk7_0),succ(n4)),sum(pred(n4),succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,20345,theory(equality)]) ).
cnf(20348,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n8) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20346,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(20349,plain,
( sum(sum(pred(esk7_0),n5),sum(n3,succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20347,220,theory(equality)]),209,theory(equality)]) ).
cnf(20354,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk7_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20332,20339,theory(equality)]) ).
cnf(20355,plain,
( n4 = esk7_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20354,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20358,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk10_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20348,20355,theory(equality)]) ).
cnf(20361,plain,
( n5 = esk10_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20358,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(20362,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n5),succ(n5))) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,20361,theory(equality)]) ).
cnf(20363,plain,
( sum(sum(pred(esk9_0),succ(n5)),sum(pred(n5),succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,20361,theory(equality)]) ).
cnf(20364,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n10) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20362,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(20365,plain,
( sum(sum(pred(esk9_0),n6),sum(n4,succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20363,219,theory(equality)]),208,theory(equality)]) ).
cnf(20370,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk9_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20349,20355,theory(equality)]) ).
cnf(20371,plain,
( n5 = esk9_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20370,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(20374,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk12_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20364,20371,theory(equality)]) ).
cnf(20377,plain,
( n9 = esk12_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20374,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20378,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n9),succ(n9))) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,20377,theory(equality)]) ).
cnf(20379,plain,
( sum(sum(pred(esk11_0),succ(n9)),sum(pred(n9),succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,20377,theory(equality)]) ).
cnf(20380,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n7) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20378,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(20381,plain,
( sum(sum(pred(esk11_0),n10),sum(n8,succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20379,215,theory(equality)]),204,theory(equality)]) ).
cnf(20386,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk11_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20365,20371,theory(equality)]) ).
cnf(20387,plain,
( n9 = esk11_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20386,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20390,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk14_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20380,20387,theory(equality)]) ).
cnf(20393,plain,
( n3 = esk14_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20390,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(20394,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n3),succ(n3))) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,20393,theory(equality)]) ).
cnf(20395,plain,
( sum(sum(pred(esk13_0),succ(n3)),sum(pred(n3),succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,20393,theory(equality)]) ).
cnf(20396,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n6) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20394,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(20397,plain,
( sum(sum(pred(esk13_0),n4),sum(n2,succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20395,221,theory(equality)]),210,theory(equality)]) ).
cnf(20402,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk13_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20381,20387,theory(equality)]) ).
cnf(20403,plain,
( n3 = esk13_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20402,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(20408,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk16_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20396,20403,theory(equality)]) ).
cnf(20411,plain,
( n1 = esk16_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20408,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(20412,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n1),succ(n1))) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,20411,theory(equality)]) ).
cnf(20413,plain,
( sum(sum(pred(esk15_0),succ(n1)),sum(pred(n1),succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,20411,theory(equality)]) ).
cnf(20414,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n2) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20412,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(20415,plain,
( sum(sum(pred(esk15_0),n2),sum(n0,succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20413,223,theory(equality)]),212,theory(equality)]) ).
cnf(20418,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk15_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20397,20403,theory(equality)]) ).
cnf(20419,plain,
( n1 = esk15_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20418,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(20422,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk18_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20414,20419,theory(equality)]) ).
cnf(20425,plain,
( n4 = esk18_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20422,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20428,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n4),succ(n4))) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,20425,theory(equality)]) ).
cnf(20429,plain,
( sum(sum(pred(esk17_0),succ(n4)),sum(pred(n4),succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,20425,theory(equality)]) ).
cnf(20430,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n8) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20428,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(20431,plain,
( sum(sum(pred(esk17_0),n5),sum(n3,succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20429,220,theory(equality)]),209,theory(equality)]) ).
cnf(20434,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk17_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20415,20419,theory(equality)]) ).
cnf(20435,plain,
( n4 = esk17_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20434,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20438,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk20_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20430,20435,theory(equality)]) ).
cnf(20441,plain,
( n5 = esk20_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20438,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(20442,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n5),succ(n5))) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,20441,theory(equality)]) ).
cnf(20443,plain,
( sum(sum(pred(esk19_0),succ(n5)),sum(pred(n5),succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,20441,theory(equality)]) ).
cnf(20444,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n10) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20442,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(20445,plain,
( sum(sum(pred(esk19_0),n6),sum(n4,succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20443,219,theory(equality)]),208,theory(equality)]) ).
cnf(20450,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk19_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20431,20435,theory(equality)]) ).
cnf(20451,plain,
( n5 = esk19_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20450,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(20454,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk22_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20444,20451,theory(equality)]) ).
cnf(20457,plain,
( n9 = esk22_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20454,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20462,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk21_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[20445,20451,theory(equality)]) ).
cnf(20463,plain,
( n9 = esk21_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20462,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20464,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n9 != esk22_0 ),
inference(spm,[status(thm)],[59,20463,theory(equality)]) ).
cnf(20465,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[20464,20457]) ).
cnf(20466,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n5 != esk20_0 ),
inference(spm,[status(thm)],[20465,20451,theory(equality)]) ).
cnf(20467,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[20466,20441]) ).
cnf(20468,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n4 != esk18_0 ),
inference(spm,[status(thm)],[20467,20435,theory(equality)]) ).
cnf(20469,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[20468,20425]) ).
cnf(20470,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n1 != esk16_0 ),
inference(spm,[status(thm)],[20469,20419,theory(equality)]) ).
cnf(20473,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[20470,20411]) ).
cnf(20474,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n3 != esk14_0 ),
inference(spm,[status(thm)],[20473,20403,theory(equality)]) ).
cnf(20475,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[20474,20393]) ).
cnf(20476,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n9 != esk12_0 ),
inference(spm,[status(thm)],[20475,20387,theory(equality)]) ).
cnf(20477,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[20476,20377]) ).
cnf(20478,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n5 != esk10_0 ),
inference(spm,[status(thm)],[20477,20371,theory(equality)]) ).
cnf(20479,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[20478,20361]) ).
cnf(20480,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n4 != esk8_0 ),
inference(spm,[status(thm)],[20479,20355,theory(equality)]) ).
cnf(20481,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[20480,20345]) ).
cnf(20482,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| n1 != esk6_0 ),
inference(spm,[status(thm)],[20481,20339,theory(equality)]) ).
cnf(20483,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[20482,20328]) ).
cnf(20484,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n3 != esk4_0 ),
inference(spm,[status(thm)],[20483,20315,theory(equality)]) ).
cnf(20485,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(csr,[status(thm)],[20484,20314]) ).
cnf(20491,plain,
( sum(n4,sum(pred(n4),succ(n4))) = esk4_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19207,20485,theory(equality)]) ).
cnf(20492,plain,
( sum(sum(n1,succ(n4)),sum(pred(n4),n3)) = esk3_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19208,20485,theory(equality)]) ).
cnf(20495,plain,
( n1 = esk4_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20491,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),150,theory(equality)]) ).
cnf(20496,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20492,220,theory(equality)]),186,theory(equality)]),209,theory(equality)]),166,theory(equality)]),130,theory(equality)]) ).
cnf(20497,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n1),succ(n1))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,20495,theory(equality)]) ).
cnf(20498,plain,
( sum(sum(pred(esk3_0),succ(n1)),sum(pred(n1),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,20495,theory(equality)]) ).
cnf(20499,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n2) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20497,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(20500,plain,
( sum(sum(pred(esk3_0),n2),sum(n0,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20498,223,theory(equality)]),212,theory(equality)]) ).
cnf(20508,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk6_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20499,20496,theory(equality)]) ).
cnf(20509,plain,
( n4 = esk6_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20508,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20510,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n4),succ(n4))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,20509,theory(equality)]) ).
cnf(20511,plain,
( sum(sum(pred(esk5_0),succ(n4)),sum(pred(n4),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,20509,theory(equality)]) ).
cnf(20512,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n8) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20510,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(20513,plain,
( sum(sum(pred(esk5_0),n5),sum(n3,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20511,220,theory(equality)]),209,theory(equality)]) ).
cnf(20519,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk5_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20500,20496,theory(equality)]) ).
cnf(20520,plain,
( n4 = esk5_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20519,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20523,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk8_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20512,20520,theory(equality)]) ).
cnf(20526,plain,
( n5 = esk8_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20523,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(20527,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n5),succ(n5))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,20526,theory(equality)]) ).
cnf(20528,plain,
( sum(sum(pred(esk7_0),succ(n5)),sum(pred(n5),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,20526,theory(equality)]) ).
cnf(20529,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n10) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20527,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(20530,plain,
( sum(sum(pred(esk7_0),n6),sum(n4,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20528,219,theory(equality)]),208,theory(equality)]) ).
cnf(20535,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk7_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20513,20520,theory(equality)]) ).
cnf(20536,plain,
( n5 = esk7_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20535,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(20539,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk10_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20529,20536,theory(equality)]) ).
cnf(20542,plain,
( n9 = esk10_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20539,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20543,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n9),succ(n9))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,20542,theory(equality)]) ).
cnf(20544,plain,
( sum(sum(pred(esk9_0),succ(n9)),sum(pred(n9),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,20542,theory(equality)]) ).
cnf(20545,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n7) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20543,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(20546,plain,
( sum(sum(pred(esk9_0),n10),sum(n8,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20544,215,theory(equality)]),204,theory(equality)]) ).
cnf(20551,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk9_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20530,20536,theory(equality)]) ).
cnf(20552,plain,
( n9 = esk9_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20551,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20555,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk12_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20545,20552,theory(equality)]) ).
cnf(20558,plain,
( n3 = esk12_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20555,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(20559,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n3),succ(n3))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,20558,theory(equality)]) ).
cnf(20560,plain,
( sum(sum(pred(esk11_0),succ(n3)),sum(pred(n3),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,20558,theory(equality)]) ).
cnf(20561,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n6) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20559,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(20562,plain,
( sum(sum(pred(esk11_0),n4),sum(n2,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20560,221,theory(equality)]),210,theory(equality)]) ).
cnf(20567,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk11_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20546,20552,theory(equality)]) ).
cnf(20568,plain,
( n3 = esk11_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20567,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(20571,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk14_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20561,20568,theory(equality)]) ).
cnf(20574,plain,
( n1 = esk14_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20571,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(20575,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n1),succ(n1))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,20574,theory(equality)]) ).
cnf(20576,plain,
( sum(sum(pred(esk13_0),succ(n1)),sum(pred(n1),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,20574,theory(equality)]) ).
cnf(20577,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n2) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20575,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(20578,plain,
( sum(sum(pred(esk13_0),n2),sum(n0,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20576,223,theory(equality)]),212,theory(equality)]) ).
cnf(20583,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk13_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20562,20568,theory(equality)]) ).
cnf(20584,plain,
( n1 = esk13_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20583,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(20587,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk16_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20577,20584,theory(equality)]) ).
cnf(20590,plain,
( n4 = esk16_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20587,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20591,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n4),succ(n4))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,20590,theory(equality)]) ).
cnf(20592,plain,
( sum(sum(pred(esk15_0),succ(n4)),sum(pred(n4),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,20590,theory(equality)]) ).
cnf(20593,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n8) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20591,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(20594,plain,
( sum(sum(pred(esk15_0),n5),sum(n3,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20592,220,theory(equality)]),209,theory(equality)]) ).
cnf(20599,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk15_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20578,20584,theory(equality)]) ).
cnf(20600,plain,
( n4 = esk15_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20599,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(20605,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk18_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20593,20600,theory(equality)]) ).
cnf(20608,plain,
( n5 = esk18_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20605,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(20609,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n5),succ(n5))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,20608,theory(equality)]) ).
cnf(20610,plain,
( sum(sum(pred(esk17_0),succ(n5)),sum(pred(n5),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,20608,theory(equality)]) ).
cnf(20611,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n10) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20609,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(20612,plain,
( sum(sum(pred(esk17_0),n6),sum(n4,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20610,219,theory(equality)]),208,theory(equality)]) ).
cnf(20615,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk17_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20594,20600,theory(equality)]) ).
cnf(20616,plain,
( n5 = esk17_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20615,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(20619,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk20_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20611,20616,theory(equality)]) ).
cnf(20622,plain,
( n9 = esk20_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20619,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20625,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n9),succ(n9))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,20622,theory(equality)]) ).
cnf(20626,plain,
( sum(sum(pred(esk19_0),succ(n9)),sum(pred(n9),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,20622,theory(equality)]) ).
cnf(20627,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n7) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20625,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(20628,plain,
( sum(sum(pred(esk19_0),n10),sum(n8,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20626,215,theory(equality)]),204,theory(equality)]) ).
cnf(20631,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk19_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20612,20616,theory(equality)]) ).
cnf(20632,plain,
( n9 = esk19_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20631,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(20635,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk22_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20627,20632,theory(equality)]) ).
cnf(20638,plain,
( n3 = esk22_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20635,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(20643,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk21_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20628,20632,theory(equality)]) ).
cnf(20644,plain,
( n3 = esk21_0
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20643,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(20645,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n3 != esk22_0 ),
inference(spm,[status(thm)],[59,20644,theory(equality)]) ).
cnf(20646,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[20645,20638]) ).
cnf(20647,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n9 != esk20_0 ),
inference(spm,[status(thm)],[20646,20632,theory(equality)]) ).
cnf(20648,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[20647,20622]) ).
cnf(20649,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n5 != esk18_0 ),
inference(spm,[status(thm)],[20648,20616,theory(equality)]) ).
cnf(20652,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[20649,20608]) ).
cnf(20653,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n4 != esk16_0 ),
inference(spm,[status(thm)],[20652,20600,theory(equality)]) ).
cnf(20654,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[20653,20590]) ).
cnf(20655,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n1 != esk14_0 ),
inference(spm,[status(thm)],[20654,20584,theory(equality)]) ).
cnf(20656,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[20655,20574]) ).
cnf(20657,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n3 != esk12_0 ),
inference(spm,[status(thm)],[20656,20568,theory(equality)]) ).
cnf(20658,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[20657,20558]) ).
cnf(20659,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n9 != esk10_0 ),
inference(spm,[status(thm)],[20658,20552,theory(equality)]) ).
cnf(20660,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[20659,20542]) ).
cnf(20661,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n5 != esk8_0 ),
inference(spm,[status(thm)],[20660,20536,theory(equality)]) ).
cnf(20662,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[20661,20526]) ).
cnf(20663,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk3_0 != esk4_0
| n4 != esk6_0 ),
inference(spm,[status(thm)],[20662,20520,theory(equality)]) ).
cnf(20664,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[20663,20509]) ).
cnf(20665,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n1 != esk4_0 ),
inference(spm,[status(thm)],[20664,20496,theory(equality)]) ).
cnf(20666,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[20665,20495]) ).
cnf(20671,plain,
( sum(n4,sum(pred(n3),succ(n3))) = esk4_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[19207,20666,theory(equality)]) ).
cnf(20672,plain,
( sum(sum(n1,succ(n3)),sum(pred(n3),n3)) = esk3_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[19208,20666,theory(equality)]) ).
cnf(20675,plain,
( n10 = esk4_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20671,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),152,theory(equality)]) ).
cnf(20676,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20672,221,theory(equality)]),187,theory(equality)]),210,theory(equality)]),177,theory(equality)]),142,theory(equality)]) ).
cnf(20677,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n10),succ(n10))) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,20675,theory(equality)]) ).
cnf(20678,plain,
( sum(sum(pred(esk3_0),succ(n10)),sum(pred(n10),succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,20675,theory(equality)]) ).
cnf(20679,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n9) = esk6_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20677,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(20680,plain,
( sum(sum(pred(esk3_0),n0),sum(n9,succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20678,214,theory(equality)]),203,theory(equality)]) ).
cnf(20688,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk6_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20679,20676,theory(equality)]) ).
cnf(20689,plain,
( n7 = esk6_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20688,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(20690,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n7),succ(n7))) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,20689,theory(equality)]) ).
cnf(20691,plain,
( sum(sum(pred(esk5_0),succ(n7)),sum(pred(n7),succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,20689,theory(equality)]) ).
cnf(20692,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n3) = esk8_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20690,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(20693,plain,
( sum(sum(pred(esk5_0),n8),sum(n6,succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20691,217,theory(equality)]),206,theory(equality)]) ).
cnf(20699,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk5_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20680,20676,theory(equality)]) ).
cnf(20700,plain,
( n7 = esk5_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20699,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(20703,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk8_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20692,20700,theory(equality)]) ).
cnf(20706,plain,
( n6 = esk8_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20703,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(20707,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n6),succ(n6))) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,20706,theory(equality)]) ).
cnf(20708,plain,
( sum(sum(pred(esk7_0),succ(n6)),sum(pred(n6),succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,20706,theory(equality)]) ).
cnf(20709,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n1) = esk10_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20707,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(20710,plain,
( sum(sum(pred(esk7_0),n7),sum(n5,succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20708,218,theory(equality)]),207,theory(equality)]) ).
cnf(20715,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk7_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20693,20700,theory(equality)]) ).
cnf(20716,plain,
( n6 = esk7_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20715,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(20719,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk10_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20709,20716,theory(equality)]) ).
cnf(20722,plain,
( n2 = esk10_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20719,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(20723,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n2),succ(n2))) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,20722,theory(equality)]) ).
cnf(20724,plain,
( sum(sum(pred(esk9_0),succ(n2)),sum(pred(n2),succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,20722,theory(equality)]) ).
cnf(20725,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n4) = esk12_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20723,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(20726,plain,
( sum(sum(pred(esk9_0),n3),sum(n1,succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20724,222,theory(equality)]),211,theory(equality)]) ).
cnf(20731,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk9_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20710,20716,theory(equality)]) ).
cnf(20732,plain,
( n2 = esk9_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20731,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(20735,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk12_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20725,20732,theory(equality)]) ).
cnf(20738,plain,
( n8 = esk12_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20735,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(20739,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n8),succ(n8))) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,20738,theory(equality)]) ).
cnf(20740,plain,
( sum(sum(pred(esk11_0),succ(n8)),sum(pred(n8),succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,20738,theory(equality)]) ).
cnf(20741,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n5) = esk14_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20739,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(20742,plain,
( sum(sum(pred(esk11_0),n9),sum(n7,succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20740,216,theory(equality)]),205,theory(equality)]) ).
cnf(20747,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk11_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20726,20732,theory(equality)]) ).
cnf(20748,plain,
( n8 = esk11_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20747,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(20751,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk14_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20741,20748,theory(equality)]) ).
cnf(20754,plain,
( n10 = esk14_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20751,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(20755,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n10),succ(n10))) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,20754,theory(equality)]) ).
cnf(20756,plain,
( sum(sum(pred(esk13_0),succ(n10)),sum(pred(n10),succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,20754,theory(equality)]) ).
cnf(20757,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n9) = esk16_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20755,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(20758,plain,
( sum(sum(pred(esk13_0),n0),sum(n9,succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20756,214,theory(equality)]),203,theory(equality)]) ).
cnf(20763,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk13_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20742,20748,theory(equality)]) ).
cnf(20764,plain,
( n10 = esk13_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20763,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(20767,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk16_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20757,20764,theory(equality)]) ).
cnf(20770,plain,
( n7 = esk16_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20767,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(20771,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n7),succ(n7))) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,20770,theory(equality)]) ).
cnf(20772,plain,
( sum(sum(pred(esk15_0),succ(n7)),sum(pred(n7),succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,20770,theory(equality)]) ).
cnf(20773,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n3) = esk18_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20771,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(20774,plain,
( sum(sum(pred(esk15_0),n8),sum(n6,succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20772,217,theory(equality)]),206,theory(equality)]) ).
cnf(20779,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk15_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20758,20764,theory(equality)]) ).
cnf(20780,plain,
( n7 = esk15_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20779,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(20785,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk18_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20773,20780,theory(equality)]) ).
cnf(20788,plain,
( n6 = esk18_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20785,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(20789,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n6),succ(n6))) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,20788,theory(equality)]) ).
cnf(20790,plain,
( sum(sum(pred(esk17_0),succ(n6)),sum(pred(n6),succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,20788,theory(equality)]) ).
cnf(20791,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n1) = esk20_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20789,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(20792,plain,
( sum(sum(pred(esk17_0),n7),sum(n5,succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20790,218,theory(equality)]),207,theory(equality)]) ).
cnf(20795,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk17_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20774,20780,theory(equality)]) ).
cnf(20796,plain,
( n6 = esk17_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20795,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(20799,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk20_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20791,20796,theory(equality)]) ).
cnf(20802,plain,
( n2 = esk20_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20799,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(20805,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n2),succ(n2))) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,20802,theory(equality)]) ).
cnf(20806,plain,
( sum(sum(pred(esk19_0),succ(n2)),sum(pred(n2),succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,20802,theory(equality)]) ).
cnf(20807,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n4) = esk22_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20805,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(20808,plain,
( sum(sum(pred(esk19_0),n3),sum(n1,succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20806,222,theory(equality)]),211,theory(equality)]) ).
cnf(20811,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk19_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20792,20796,theory(equality)]) ).
cnf(20812,plain,
( n2 = esk19_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20811,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(20815,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk22_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20807,20812,theory(equality)]) ).
cnf(20818,plain,
( n8 = esk22_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20815,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(20823,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk21_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[20808,20812,theory(equality)]) ).
cnf(20824,plain,
( n8 = esk21_0
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20823,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(20825,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n8 != esk22_0 ),
inference(spm,[status(thm)],[59,20824,theory(equality)]) ).
cnf(20826,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[20825,20818]) ).
cnf(20827,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n2 != esk20_0 ),
inference(spm,[status(thm)],[20826,20812,theory(equality)]) ).
cnf(20828,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[20827,20802]) ).
cnf(20829,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n6 != esk18_0 ),
inference(spm,[status(thm)],[20828,20796,theory(equality)]) ).
cnf(20832,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[20829,20788]) ).
cnf(20833,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n7 != esk16_0 ),
inference(spm,[status(thm)],[20832,20780,theory(equality)]) ).
cnf(20834,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[20833,20770]) ).
cnf(20835,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n10 != esk14_0 ),
inference(spm,[status(thm)],[20834,20764,theory(equality)]) ).
cnf(20836,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[20835,20754]) ).
cnf(20837,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n8 != esk12_0 ),
inference(spm,[status(thm)],[20836,20748,theory(equality)]) ).
cnf(20838,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[20837,20738]) ).
cnf(20839,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n2 != esk10_0 ),
inference(spm,[status(thm)],[20838,20732,theory(equality)]) ).
cnf(20840,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[20839,20722]) ).
cnf(20841,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n6 != esk8_0 ),
inference(spm,[status(thm)],[20840,20716,theory(equality)]) ).
cnf(20842,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[20841,20706]) ).
cnf(20843,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| n7 != esk6_0 ),
inference(spm,[status(thm)],[20842,20700,theory(equality)]) ).
cnf(20844,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[20843,20689]) ).
cnf(20845,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| n10 != esk4_0 ),
inference(spm,[status(thm)],[20844,20676,theory(equality)]) ).
cnf(20846,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(csr,[status(thm)],[20845,20675]) ).
cnf(20850,plain,
( sum(n4,sum(pred(n2),succ(n2))) = esk4_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19207,20846,theory(equality)]) ).
cnf(20851,plain,
( sum(sum(n1,succ(n2)),sum(pred(n2),n3)) = esk3_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[19208,20846,theory(equality)]) ).
cnf(20854,plain,
( n8 = esk4_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20850,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(20855,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20851,222,theory(equality)]),188,theory(equality)]),211,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(20856,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n8),succ(n8))) = esk6_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,20854,theory(equality)]) ).
cnf(20857,plain,
( sum(sum(pred(esk3_0),succ(n8)),sum(pred(n8),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,20854,theory(equality)]) ).
cnf(20858,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n5) = esk6_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20856,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(20859,plain,
( sum(sum(pred(esk3_0),n9),sum(n7,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20857,216,theory(equality)]),205,theory(equality)]) ).
cnf(20867,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk6_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20858,20855,theory(equality)]) ).
cnf(20868,plain,
( n10 = esk6_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20867,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(20869,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n10),succ(n10))) = esk8_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,20868,theory(equality)]) ).
cnf(20870,plain,
( sum(sum(pred(esk5_0),succ(n10)),sum(pred(n10),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,20868,theory(equality)]) ).
cnf(20871,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n9) = esk8_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20869,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(20872,plain,
( sum(sum(pred(esk5_0),n0),sum(n9,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20870,214,theory(equality)]),203,theory(equality)]) ).
cnf(20878,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk5_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20859,20855,theory(equality)]) ).
cnf(20879,plain,
( n10 = esk5_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20878,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(20882,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk8_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20871,20879,theory(equality)]) ).
cnf(20885,plain,
( n7 = esk8_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20882,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(20886,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n7),succ(n7))) = esk10_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,20885,theory(equality)]) ).
cnf(20887,plain,
( sum(sum(pred(esk7_0),succ(n7)),sum(pred(n7),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,20885,theory(equality)]) ).
cnf(20888,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n3) = esk10_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20886,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(20889,plain,
( sum(sum(pred(esk7_0),n8),sum(n6,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20887,217,theory(equality)]),206,theory(equality)]) ).
cnf(20894,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk7_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20872,20879,theory(equality)]) ).
cnf(20895,plain,
( n7 = esk7_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20894,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(20898,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk10_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20888,20895,theory(equality)]) ).
cnf(20901,plain,
( n6 = esk10_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20898,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(20902,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n6),succ(n6))) = esk12_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,20901,theory(equality)]) ).
cnf(20903,plain,
( sum(sum(pred(esk9_0),succ(n6)),sum(pred(n6),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,20901,theory(equality)]) ).
cnf(20904,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n1) = esk12_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20902,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(20905,plain,
( sum(sum(pred(esk9_0),n7),sum(n5,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20903,218,theory(equality)]),207,theory(equality)]) ).
cnf(20910,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk9_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20889,20895,theory(equality)]) ).
cnf(20911,plain,
( n6 = esk9_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20910,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(20914,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk12_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20904,20911,theory(equality)]) ).
cnf(20917,plain,
( n2 = esk12_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20914,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(20918,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n2),succ(n2))) = esk14_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,20917,theory(equality)]) ).
cnf(20919,plain,
( sum(sum(pred(esk11_0),succ(n2)),sum(pred(n2),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,20917,theory(equality)]) ).
cnf(20920,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n4) = esk14_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20918,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(20921,plain,
( sum(sum(pred(esk11_0),n3),sum(n1,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20919,222,theory(equality)]),211,theory(equality)]) ).
cnf(20926,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk11_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20905,20911,theory(equality)]) ).
cnf(20927,plain,
( n2 = esk11_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20926,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(20930,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk14_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20920,20927,theory(equality)]) ).
cnf(20933,plain,
( n8 = esk14_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20930,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(20934,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n8),succ(n8))) = esk16_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,20933,theory(equality)]) ).
cnf(20935,plain,
( sum(sum(pred(esk13_0),succ(n8)),sum(pred(n8),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,20933,theory(equality)]) ).
cnf(20936,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n5) = esk16_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20934,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(20937,plain,
( sum(sum(pred(esk13_0),n9),sum(n7,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20935,216,theory(equality)]),205,theory(equality)]) ).
cnf(20942,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk13_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20921,20927,theory(equality)]) ).
cnf(20943,plain,
( n8 = esk13_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20942,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(20948,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk16_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20936,20943,theory(equality)]) ).
cnf(20951,plain,
( n10 = esk16_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20948,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(20952,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n10),succ(n10))) = esk18_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,20951,theory(equality)]) ).
cnf(20953,plain,
( sum(sum(pred(esk15_0),succ(n10)),sum(pred(n10),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,20951,theory(equality)]) ).
cnf(20954,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n9) = esk18_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20952,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(20955,plain,
( sum(sum(pred(esk15_0),n0),sum(n9,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20953,214,theory(equality)]),203,theory(equality)]) ).
cnf(20958,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk15_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20937,20943,theory(equality)]) ).
cnf(20959,plain,
( n10 = esk15_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20958,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(20962,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk18_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20954,20959,theory(equality)]) ).
cnf(20965,plain,
( n7 = esk18_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20962,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(20968,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n7),succ(n7))) = esk20_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,20965,theory(equality)]) ).
cnf(20969,plain,
( sum(sum(pred(esk17_0),succ(n7)),sum(pred(n7),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,20965,theory(equality)]) ).
cnf(20970,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n3) = esk20_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20968,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(20971,plain,
( sum(sum(pred(esk17_0),n8),sum(n6,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20969,217,theory(equality)]),206,theory(equality)]) ).
cnf(20974,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk17_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20955,20959,theory(equality)]) ).
cnf(20975,plain,
( n7 = esk17_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20974,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(20978,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk20_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20970,20975,theory(equality)]) ).
cnf(20981,plain,
( n6 = esk20_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20978,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(20982,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n6),succ(n6))) = esk22_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,20981,theory(equality)]) ).
cnf(20983,plain,
( sum(sum(pred(esk19_0),succ(n6)),sum(pred(n6),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,20981,theory(equality)]) ).
cnf(20984,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n1) = esk22_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20982,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(20985,plain,
( sum(sum(pred(esk19_0),n7),sum(n5,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[20983,218,theory(equality)]),207,theory(equality)]) ).
cnf(20990,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk19_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20971,20975,theory(equality)]) ).
cnf(20991,plain,
( n6 = esk19_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20990,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(20994,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk22_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20984,20991,theory(equality)]) ).
cnf(20997,plain,
( n2 = esk22_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20994,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21002,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk21_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(spm,[status(thm)],[20985,20991,theory(equality)]) ).
cnf(21003,plain,
( n2 = esk21_0
| esk1_0 = n1
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21002,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21004,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n2 != esk22_0 ),
inference(spm,[status(thm)],[59,21003,theory(equality)]) ).
cnf(21005,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[21004,20997]) ).
cnf(21006,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n6 != esk20_0 ),
inference(spm,[status(thm)],[21005,20991,theory(equality)]) ).
cnf(21007,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[21006,20981]) ).
cnf(21008,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n7 != esk18_0 ),
inference(spm,[status(thm)],[21007,20975,theory(equality)]) ).
cnf(21009,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[21008,20965]) ).
cnf(21010,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n10 != esk16_0 ),
inference(spm,[status(thm)],[21009,20959,theory(equality)]) ).
cnf(21013,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[21010,20951]) ).
cnf(21014,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n8 != esk14_0 ),
inference(spm,[status(thm)],[21013,20943,theory(equality)]) ).
cnf(21015,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[21014,20933]) ).
cnf(21016,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n2 != esk12_0 ),
inference(spm,[status(thm)],[21015,20927,theory(equality)]) ).
cnf(21017,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[21016,20917]) ).
cnf(21018,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n6 != esk10_0 ),
inference(spm,[status(thm)],[21017,20911,theory(equality)]) ).
cnf(21019,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[21018,20901]) ).
cnf(21020,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n7 != esk8_0 ),
inference(spm,[status(thm)],[21019,20895,theory(equality)]) ).
cnf(21021,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[21020,20885]) ).
cnf(21022,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0
| n10 != esk6_0 ),
inference(spm,[status(thm)],[21021,20879,theory(equality)]) ).
cnf(21023,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[21022,20868]) ).
cnf(21024,plain,
( esk1_0 = n1
| esk2_0 = n1
| n8 != esk4_0 ),
inference(spm,[status(thm)],[21023,20855,theory(equality)]) ).
cnf(21025,plain,
( esk1_0 = n1
| esk2_0 = n1 ),
inference(csr,[status(thm)],[21024,20854]) ).
cnf(21028,plain,
( sum(n4,sum(pred(n1),succ(n1))) = esk4_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19207,21025,theory(equality)]) ).
cnf(21029,plain,
( sum(sum(n1,succ(n1)),sum(pred(n1),n3)) = esk3_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[19208,21025,theory(equality)]) ).
cnf(21032,plain,
( n6 = esk4_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21028,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),156,theory(equality)]) ).
cnf(21033,plain,
( n6 = esk3_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21029,223,theory(equality)]),189,theory(equality)]),212,theory(equality)]),199,theory(equality)]),166,theory(equality)]) ).
cnf(21034,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n6),succ(n6))) = esk6_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[76,21032,theory(equality)]) ).
cnf(21035,plain,
( sum(sum(pred(esk3_0),succ(n6)),sum(pred(n6),succ(esk3_0))) = esk5_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[77,21032,theory(equality)]) ).
cnf(21036,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n1) = esk6_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21034,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(21037,plain,
( sum(sum(pred(esk3_0),n7),sum(n5,succ(esk3_0))) = esk5_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21035,218,theory(equality)]),207,theory(equality)]) ).
cnf(21045,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk6_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21036,21033,theory(equality)]) ).
cnf(21046,plain,
( n2 = esk6_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21045,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21047,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n2),succ(n2))) = esk8_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[74,21046,theory(equality)]) ).
cnf(21048,plain,
( sum(sum(pred(esk5_0),succ(n2)),sum(pred(n2),succ(esk5_0))) = esk7_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[75,21046,theory(equality)]) ).
cnf(21049,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n4) = esk8_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21047,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(21050,plain,
( sum(sum(pred(esk5_0),n3),sum(n1,succ(esk5_0))) = esk7_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21048,222,theory(equality)]),211,theory(equality)]) ).
cnf(21056,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk5_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21037,21033,theory(equality)]) ).
cnf(21057,plain,
( n2 = esk5_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21056,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21060,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk8_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21049,21057,theory(equality)]) ).
cnf(21063,plain,
( n8 = esk8_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21060,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21064,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n8),succ(n8))) = esk10_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[72,21063,theory(equality)]) ).
cnf(21065,plain,
( sum(sum(pred(esk7_0),succ(n8)),sum(pred(n8),succ(esk7_0))) = esk9_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[73,21063,theory(equality)]) ).
cnf(21066,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n5) = esk10_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21064,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(21067,plain,
( sum(sum(pred(esk7_0),n9),sum(n7,succ(esk7_0))) = esk9_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21065,216,theory(equality)]),205,theory(equality)]) ).
cnf(21072,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk7_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21050,21057,theory(equality)]) ).
cnf(21073,plain,
( n8 = esk7_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21072,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21076,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk10_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21066,21073,theory(equality)]) ).
cnf(21079,plain,
( n10 = esk10_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21076,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21080,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n10),succ(n10))) = esk12_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[70,21079,theory(equality)]) ).
cnf(21081,plain,
( sum(sum(pred(esk9_0),succ(n10)),sum(pred(n10),succ(esk9_0))) = esk11_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[71,21079,theory(equality)]) ).
cnf(21082,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n9) = esk12_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21080,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(21083,plain,
( sum(sum(pred(esk9_0),n0),sum(n9,succ(esk9_0))) = esk11_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21081,214,theory(equality)]),203,theory(equality)]) ).
cnf(21088,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk9_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21067,21073,theory(equality)]) ).
cnf(21089,plain,
( n10 = esk9_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21088,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21094,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk12_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21082,21089,theory(equality)]) ).
cnf(21097,plain,
( n7 = esk12_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21094,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(21098,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n7),succ(n7))) = esk14_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[68,21097,theory(equality)]) ).
cnf(21099,plain,
( sum(sum(pred(esk11_0),succ(n7)),sum(pred(n7),succ(esk11_0))) = esk13_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[69,21097,theory(equality)]) ).
cnf(21100,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n3) = esk14_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21098,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(21101,plain,
( sum(sum(pred(esk11_0),n8),sum(n6,succ(esk11_0))) = esk13_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21099,217,theory(equality)]),206,theory(equality)]) ).
cnf(21104,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk11_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21083,21089,theory(equality)]) ).
cnf(21105,plain,
( n7 = esk11_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21104,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(21108,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk14_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21100,21105,theory(equality)]) ).
cnf(21111,plain,
( n6 = esk14_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21108,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(21114,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n6),succ(n6))) = esk16_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[66,21111,theory(equality)]) ).
cnf(21115,plain,
( sum(sum(pred(esk13_0),succ(n6)),sum(pred(n6),succ(esk13_0))) = esk15_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[67,21111,theory(equality)]) ).
cnf(21116,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n1) = esk16_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21114,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(21117,plain,
( sum(sum(pred(esk13_0),n7),sum(n5,succ(esk13_0))) = esk15_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21115,218,theory(equality)]),207,theory(equality)]) ).
cnf(21120,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk13_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21101,21105,theory(equality)]) ).
cnf(21121,plain,
( n6 = esk13_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21120,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(21124,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk16_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21116,21121,theory(equality)]) ).
cnf(21127,plain,
( n2 = esk16_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21124,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21128,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n2),succ(n2))) = esk18_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[64,21127,theory(equality)]) ).
cnf(21129,plain,
( sum(sum(pred(esk15_0),succ(n2)),sum(pred(n2),succ(esk15_0))) = esk17_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[65,21127,theory(equality)]) ).
cnf(21130,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n4) = esk18_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21128,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(21131,plain,
( sum(sum(pred(esk15_0),n3),sum(n1,succ(esk15_0))) = esk17_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21129,222,theory(equality)]),211,theory(equality)]) ).
cnf(21136,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk15_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21117,21121,theory(equality)]) ).
cnf(21137,plain,
( n2 = esk15_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21136,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21140,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk18_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21130,21137,theory(equality)]) ).
cnf(21143,plain,
( n8 = esk18_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21140,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21144,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n8),succ(n8))) = esk20_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[62,21143,theory(equality)]) ).
cnf(21145,plain,
( sum(sum(pred(esk17_0),succ(n8)),sum(pred(n8),succ(esk17_0))) = esk19_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[63,21143,theory(equality)]) ).
cnf(21146,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n5) = esk20_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21144,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(21147,plain,
( sum(sum(pred(esk17_0),n9),sum(n7,succ(esk17_0))) = esk19_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21145,216,theory(equality)]),205,theory(equality)]) ).
cnf(21152,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk17_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21131,21137,theory(equality)]) ).
cnf(21153,plain,
( n8 = esk17_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21152,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21156,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk20_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21146,21153,theory(equality)]) ).
cnf(21159,plain,
( n10 = esk20_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21156,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21160,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n10),succ(n10))) = esk22_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[60,21159,theory(equality)]) ).
cnf(21161,plain,
( sum(sum(pred(esk19_0),succ(n10)),sum(pred(n10),succ(esk19_0))) = esk21_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[61,21159,theory(equality)]) ).
cnf(21162,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n9) = esk22_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21160,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(21163,plain,
( sum(sum(pred(esk19_0),n0),sum(n9,succ(esk19_0))) = esk21_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21161,214,theory(equality)]),203,theory(equality)]) ).
cnf(21168,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk19_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21147,21153,theory(equality)]) ).
cnf(21169,plain,
( n10 = esk19_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21168,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21172,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk22_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21162,21169,theory(equality)]) ).
cnf(21175,plain,
( n7 = esk22_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21172,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(21180,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk21_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[21163,21169,theory(equality)]) ).
cnf(21181,plain,
( n7 = esk21_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21180,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(21182,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n7 != esk22_0 ),
inference(spm,[status(thm)],[59,21181,theory(equality)]) ).
cnf(21185,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[21182,21175]) ).
cnf(21186,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n10 != esk20_0 ),
inference(spm,[status(thm)],[21185,21169,theory(equality)]) ).
cnf(21187,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[21186,21159]) ).
cnf(21188,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n8 != esk18_0 ),
inference(spm,[status(thm)],[21187,21153,theory(equality)]) ).
cnf(21189,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[21188,21143]) ).
cnf(21190,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n2 != esk16_0 ),
inference(spm,[status(thm)],[21189,21137,theory(equality)]) ).
cnf(21191,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[21190,21127]) ).
cnf(21192,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n6 != esk14_0 ),
inference(spm,[status(thm)],[21191,21121,theory(equality)]) ).
cnf(21193,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[21192,21111]) ).
cnf(21194,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n7 != esk12_0 ),
inference(spm,[status(thm)],[21193,21105,theory(equality)]) ).
cnf(21195,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[21194,21097]) ).
cnf(21196,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n10 != esk10_0 ),
inference(spm,[status(thm)],[21195,21089,theory(equality)]) ).
cnf(21197,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[21196,21079]) ).
cnf(21198,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n8 != esk8_0 ),
inference(spm,[status(thm)],[21197,21073,theory(equality)]) ).
cnf(21199,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[21198,21063]) ).
cnf(21200,plain,
( esk1_0 = n1
| esk3_0 != esk4_0
| n2 != esk6_0 ),
inference(spm,[status(thm)],[21199,21057,theory(equality)]) ).
cnf(21201,plain,
( esk1_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[21200,21046]) ).
cnf(21202,plain,
( esk1_0 = n1
| n6 != esk4_0 ),
inference(spm,[status(thm)],[21201,21033,theory(equality)]) ).
cnf(21203,plain,
esk1_0 = n1,
inference(csr,[status(thm)],[21202,21032]) ).
cnf(21204,plain,
sum(sum(n0,succ(esk2_0)),sum(pred(esk2_0),n2)) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[79,21203,theory(equality)]),212,theory(equality)]),21203,theory(equality)]),223,theory(equality)]) ).
cnf(21205,plain,
sum(n2,sum(pred(esk2_0),succ(esk2_0))) = esk4_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[78,21203,theory(equality)]),212,theory(equality)]),21203,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(21274,plain,
( sum(n1,n1) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[252,21203,theory(equality)]),212,theory(equality)]),201,theory(equality)]),21203,theory(equality)]),223,theory(equality)]),90,theory(equality)]) ).
cnf(21275,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[21274,190,theory(equality)]) ).
cnf(21276,plain,
( sum(n2,n0) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[248,21203,theory(equality)]),212,theory(equality)]),21203,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(21277,plain,
( n2 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[21276,180,theory(equality)]) ).
cnf(21280,plain,
( sum(sum(pred(n2),succ(n2)),sum(pred(esk4_0),succ(esk4_0))) = esk6_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,21275,theory(equality)]) ).
cnf(21281,plain,
( sum(sum(pred(n2),succ(esk4_0)),sum(pred(esk4_0),succ(n2))) = esk5_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,21275,theory(equality)]) ).
cnf(21282,plain,
( sum(n4,sum(pred(esk4_0),succ(esk4_0))) = esk6_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21280,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(21283,plain,
( sum(sum(n1,succ(esk4_0)),sum(pred(esk4_0),n3)) = esk5_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21281,211,theory(equality)]),222,theory(equality)]) ).
cnf(21290,plain,
( sum(n4,sum(pred(n2),succ(n2))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21282,21277,theory(equality)]) ).
cnf(21291,plain,
( n8 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21290,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21292,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n8),succ(n8))) = esk8_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,21291,theory(equality)]) ).
cnf(21293,plain,
( sum(sum(pred(esk5_0),succ(n8)),sum(pred(n8),succ(esk5_0))) = esk7_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,21291,theory(equality)]) ).
cnf(21294,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n5) = esk8_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21292,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(21295,plain,
( sum(sum(pred(esk5_0),n9),sum(n7,succ(esk5_0))) = esk7_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21293,216,theory(equality)]),205,theory(equality)]) ).
cnf(21298,plain,
( sum(sum(n1,succ(n2)),sum(pred(n2),n3)) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21283,21277,theory(equality)]) ).
cnf(21299,plain,
( n8 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21298,222,theory(equality)]),188,theory(equality)]),211,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21304,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21294,21299,theory(equality)]) ).
cnf(21307,plain,
( n10 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21304,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21308,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n10),succ(n10))) = esk10_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,21307,theory(equality)]) ).
cnf(21309,plain,
( sum(sum(pred(esk7_0),succ(n10)),sum(pred(n10),succ(esk7_0))) = esk9_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,21307,theory(equality)]) ).
cnf(21310,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n9) = esk10_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21308,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(21311,plain,
( sum(sum(pred(esk7_0),n0),sum(n9,succ(esk7_0))) = esk9_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21309,214,theory(equality)]),203,theory(equality)]) ).
cnf(21314,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21295,21299,theory(equality)]) ).
cnf(21315,plain,
( n10 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21314,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21318,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21310,21315,theory(equality)]) ).
cnf(21321,plain,
( n7 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21318,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(21324,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n7),succ(n7))) = esk12_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,21321,theory(equality)]) ).
cnf(21325,plain,
( sum(sum(pred(esk9_0),succ(n7)),sum(pred(n7),succ(esk9_0))) = esk11_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,21321,theory(equality)]) ).
cnf(21326,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n3) = esk12_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21324,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(21327,plain,
( sum(sum(pred(esk9_0),n8),sum(n6,succ(esk9_0))) = esk11_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21325,217,theory(equality)]),206,theory(equality)]) ).
cnf(21330,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21311,21315,theory(equality)]) ).
cnf(21331,plain,
( n7 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21330,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(21334,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21326,21331,theory(equality)]) ).
cnf(21337,plain,
( n6 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21334,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(21338,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n6),succ(n6))) = esk14_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,21337,theory(equality)]) ).
cnf(21339,plain,
( sum(sum(pred(esk11_0),succ(n6)),sum(pred(n6),succ(esk11_0))) = esk13_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,21337,theory(equality)]) ).
cnf(21340,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n1) = esk14_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21338,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(21341,plain,
( sum(sum(pred(esk11_0),n7),sum(n5,succ(esk11_0))) = esk13_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21339,218,theory(equality)]),207,theory(equality)]) ).
cnf(21346,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21327,21331,theory(equality)]) ).
cnf(21347,plain,
( n6 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21346,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(21350,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21340,21347,theory(equality)]) ).
cnf(21353,plain,
( n2 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21350,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21354,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n2),succ(n2))) = esk16_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,21353,theory(equality)]) ).
cnf(21355,plain,
( sum(sum(pred(esk13_0),succ(n2)),sum(pred(n2),succ(esk13_0))) = esk15_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,21353,theory(equality)]) ).
cnf(21356,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n4) = esk16_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21354,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(21357,plain,
( sum(sum(pred(esk13_0),n3),sum(n1,succ(esk13_0))) = esk15_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21355,222,theory(equality)]),211,theory(equality)]) ).
cnf(21362,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21341,21347,theory(equality)]) ).
cnf(21363,plain,
( n2 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21362,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21366,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21356,21363,theory(equality)]) ).
cnf(21369,plain,
( n8 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21366,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21370,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n8),succ(n8))) = esk18_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,21369,theory(equality)]) ).
cnf(21371,plain,
( sum(sum(pred(esk15_0),succ(n8)),sum(pred(n8),succ(esk15_0))) = esk17_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,21369,theory(equality)]) ).
cnf(21372,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n5) = esk18_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21370,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(21373,plain,
( sum(sum(pred(esk15_0),n9),sum(n7,succ(esk15_0))) = esk17_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21371,216,theory(equality)]),205,theory(equality)]) ).
cnf(21378,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21357,21363,theory(equality)]) ).
cnf(21379,plain,
( n8 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21378,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21382,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21372,21379,theory(equality)]) ).
cnf(21385,plain,
( n10 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21382,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21386,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n10),succ(n10))) = esk20_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,21385,theory(equality)]) ).
cnf(21387,plain,
( sum(sum(pred(esk17_0),succ(n10)),sum(pred(n10),succ(esk17_0))) = esk19_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,21385,theory(equality)]) ).
cnf(21388,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n9) = esk20_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21386,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(21389,plain,
( sum(sum(pred(esk17_0),n0),sum(n9,succ(esk17_0))) = esk19_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21387,214,theory(equality)]),203,theory(equality)]) ).
cnf(21394,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21373,21379,theory(equality)]) ).
cnf(21395,plain,
( n10 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21394,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21398,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21388,21395,theory(equality)]) ).
cnf(21401,plain,
( n7 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21398,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(21402,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n7),succ(n7))) = esk22_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,21401,theory(equality)]) ).
cnf(21403,plain,
( sum(sum(pred(esk19_0),succ(n7)),sum(pred(n7),succ(esk19_0))) = esk21_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,21401,theory(equality)]) ).
cnf(21404,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n3) = esk22_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21402,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(21405,plain,
( sum(sum(pred(esk19_0),n8),sum(n6,succ(esk19_0))) = esk21_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21403,217,theory(equality)]),206,theory(equality)]) ).
cnf(21410,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21389,21395,theory(equality)]) ).
cnf(21411,plain,
( n7 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21410,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(21414,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21404,21411,theory(equality)]) ).
cnf(21417,plain,
( n6 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21414,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(21422,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[21405,21411,theory(equality)]) ).
cnf(21423,plain,
( n6 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21422,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(21426,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n6 != esk22_0 ),
inference(spm,[status(thm)],[59,21423,theory(equality)]) ).
cnf(21427,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[21426,21417]) ).
cnf(21428,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n7 != esk20_0 ),
inference(spm,[status(thm)],[21427,21411,theory(equality)]) ).
cnf(21429,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[21428,21401]) ).
cnf(21430,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n10 != esk18_0 ),
inference(spm,[status(thm)],[21429,21395,theory(equality)]) ).
cnf(21431,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[21430,21385]) ).
cnf(21432,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n8 != esk16_0 ),
inference(spm,[status(thm)],[21431,21379,theory(equality)]) ).
cnf(21433,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[21432,21369]) ).
cnf(21434,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n2 != esk14_0 ),
inference(spm,[status(thm)],[21433,21363,theory(equality)]) ).
cnf(21435,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[21434,21353]) ).
cnf(21436,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n6 != esk12_0 ),
inference(spm,[status(thm)],[21435,21347,theory(equality)]) ).
cnf(21437,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[21436,21337]) ).
cnf(21438,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n7 != esk10_0 ),
inference(spm,[status(thm)],[21437,21331,theory(equality)]) ).
cnf(21439,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[21438,21321]) ).
cnf(21440,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n10 != esk8_0 ),
inference(spm,[status(thm)],[21439,21315,theory(equality)]) ).
cnf(21441,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[21440,21307]) ).
cnf(21442,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n8 != esk6_0 ),
inference(spm,[status(thm)],[21441,21299,theory(equality)]) ).
cnf(21443,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[21442,21291]) ).
cnf(21444,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| n2 != esk4_0 ),
inference(spm,[status(thm)],[21443,21275,theory(equality)]) ).
cnf(21445,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(csr,[status(thm)],[21444,21277]) ).
cnf(21455,plain,
( sum(n2,sum(pred(n10),succ(n10))) = esk4_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21205,21445,theory(equality)]) ).
cnf(21456,plain,
( sum(sum(n0,succ(n10)),sum(pred(n10),n2)) = esk3_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21204,21445,theory(equality)]) ).
cnf(21457,plain,
( n0 = esk4_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21455,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),171,theory(equality)]) ).
cnf(21458,plain,
( n0 = esk3_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21456,214,theory(equality)]),202,theory(equality)]),203,theory(equality)]),101,theory(equality)]),202,theory(equality)]) ).
cnf(21459,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n0),succ(n0))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[76,21457,theory(equality)]) ).
cnf(21460,plain,
( sum(sum(pred(esk3_0),succ(n0)),sum(pred(n0),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[77,21457,theory(equality)]) ).
cnf(21461,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n0) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21459,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(21462,plain,
( sum(sum(pred(esk3_0),n1),sum(n10,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21460,224,theory(equality)]),213,theory(equality)]) ).
cnf(21467,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk6_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21461,21458,theory(equality)]) ).
cnf(21468,plain,
( n0 = esk6_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21467,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21469,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n0),succ(n0))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[74,21468,theory(equality)]) ).
cnf(21470,plain,
( sum(sum(pred(esk5_0),succ(n0)),sum(pred(n0),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[75,21468,theory(equality)]) ).
cnf(21471,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n0) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21469,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(21472,plain,
( sum(sum(pred(esk5_0),n1),sum(n10,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21470,224,theory(equality)]),213,theory(equality)]) ).
cnf(21475,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk5_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21462,21458,theory(equality)]) ).
cnf(21476,plain,
( n0 = esk5_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21475,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21481,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk8_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21471,21476,theory(equality)]) ).
cnf(21482,plain,
( n0 = esk8_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21481,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21483,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n0),succ(n0))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[72,21482,theory(equality)]) ).
cnf(21484,plain,
( sum(sum(pred(esk7_0),succ(n0)),sum(pred(n0),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[73,21482,theory(equality)]) ).
cnf(21485,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n0) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21483,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(21486,plain,
( sum(sum(pred(esk7_0),n1),sum(n10,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21484,224,theory(equality)]),213,theory(equality)]) ).
cnf(21491,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk7_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21472,21476,theory(equality)]) ).
cnf(21492,plain,
( n0 = esk7_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21491,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21495,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk10_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21485,21492,theory(equality)]) ).
cnf(21498,plain,
( n0 = esk10_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21495,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21499,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n0),succ(n0))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[70,21498,theory(equality)]) ).
cnf(21500,plain,
( sum(sum(pred(esk9_0),succ(n0)),sum(pred(n0),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[71,21498,theory(equality)]) ).
cnf(21501,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n0) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21499,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(21502,plain,
( sum(sum(pred(esk9_0),n1),sum(n10,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21500,224,theory(equality)]),213,theory(equality)]) ).
cnf(21507,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk9_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21486,21492,theory(equality)]) ).
cnf(21508,plain,
( n0 = esk9_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21507,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21511,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk12_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21501,21508,theory(equality)]) ).
cnf(21514,plain,
( n0 = esk12_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21511,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21515,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n0),succ(n0))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[68,21514,theory(equality)]) ).
cnf(21516,plain,
( sum(sum(pred(esk11_0),succ(n0)),sum(pred(n0),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[69,21514,theory(equality)]) ).
cnf(21517,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n0) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21515,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(21518,plain,
( sum(sum(pred(esk11_0),n1),sum(n10,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21516,224,theory(equality)]),213,theory(equality)]) ).
cnf(21523,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk11_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21502,21508,theory(equality)]) ).
cnf(21524,plain,
( n0 = esk11_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21523,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21529,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk14_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21517,21524,theory(equality)]) ).
cnf(21532,plain,
( n0 = esk14_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21529,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21533,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n0),succ(n0))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[66,21532,theory(equality)]) ).
cnf(21534,plain,
( sum(sum(pred(esk13_0),succ(n0)),sum(pred(n0),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[67,21532,theory(equality)]) ).
cnf(21535,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n0) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21533,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(21536,plain,
( sum(sum(pred(esk13_0),n1),sum(n10,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21534,224,theory(equality)]),213,theory(equality)]) ).
cnf(21539,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk13_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21518,21524,theory(equality)]) ).
cnf(21540,plain,
( n0 = esk13_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21539,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21543,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk16_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21535,21540,theory(equality)]) ).
cnf(21546,plain,
( n0 = esk16_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21543,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21549,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n0),succ(n0))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[64,21546,theory(equality)]) ).
cnf(21550,plain,
( sum(sum(pred(esk15_0),succ(n0)),sum(pred(n0),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[65,21546,theory(equality)]) ).
cnf(21551,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n0) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21549,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(21552,plain,
( sum(sum(pred(esk15_0),n1),sum(n10,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21550,224,theory(equality)]),213,theory(equality)]) ).
cnf(21555,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk15_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21536,21540,theory(equality)]) ).
cnf(21556,plain,
( n0 = esk15_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21555,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21559,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk18_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21551,21556,theory(equality)]) ).
cnf(21562,plain,
( n0 = esk18_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21559,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21563,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n0),succ(n0))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[62,21562,theory(equality)]) ).
cnf(21564,plain,
( sum(sum(pred(esk17_0),succ(n0)),sum(pred(n0),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[63,21562,theory(equality)]) ).
cnf(21565,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n0) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21563,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(21566,plain,
( sum(sum(pred(esk17_0),n1),sum(n10,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21564,224,theory(equality)]),213,theory(equality)]) ).
cnf(21571,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk17_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21552,21556,theory(equality)]) ).
cnf(21572,plain,
( n0 = esk17_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21571,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21575,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk20_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21565,21572,theory(equality)]) ).
cnf(21578,plain,
( n0 = esk20_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21575,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21579,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n0),succ(n0))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[60,21578,theory(equality)]) ).
cnf(21580,plain,
( sum(sum(pred(esk19_0),succ(n0)),sum(pred(n0),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[61,21578,theory(equality)]) ).
cnf(21581,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n0) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21579,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]) ).
cnf(21582,plain,
( sum(sum(pred(esk19_0),n1),sum(n10,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21580,224,theory(equality)]),213,theory(equality)]) ).
cnf(21587,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk19_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21566,21572,theory(equality)]) ).
cnf(21588,plain,
( n0 = esk19_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21587,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21591,plain,
( sum(sum(pred(n0),succ(n0)),n0) = esk22_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21581,21588,theory(equality)]) ).
cnf(21594,plain,
( n0 = esk22_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21591,213,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21599,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = esk21_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21582,21588,theory(equality)]) ).
cnf(21600,plain,
( n0 = esk21_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21599,213,theory(equality)]),91,theory(equality)]),224,theory(equality)]),91,theory(equality)]),202,theory(equality)]) ).
cnf(21601,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n0 != esk22_0 ),
inference(spm,[status(thm)],[59,21600,theory(equality)]) ).
cnf(21604,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[21601,21594]) ).
cnf(21605,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n0 != esk20_0 ),
inference(spm,[status(thm)],[21604,21588,theory(equality)]) ).
cnf(21606,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[21605,21578]) ).
cnf(21607,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n0 != esk18_0 ),
inference(spm,[status(thm)],[21606,21572,theory(equality)]) ).
cnf(21608,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[21607,21562]) ).
cnf(21609,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n0 != esk16_0 ),
inference(spm,[status(thm)],[21608,21556,theory(equality)]) ).
cnf(21610,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[21609,21546]) ).
cnf(21611,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n0 != esk14_0 ),
inference(spm,[status(thm)],[21610,21540,theory(equality)]) ).
cnf(21612,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[21611,21532]) ).
cnf(21613,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n0 != esk12_0 ),
inference(spm,[status(thm)],[21612,21524,theory(equality)]) ).
cnf(21614,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[21613,21514]) ).
cnf(21615,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n0 != esk10_0 ),
inference(spm,[status(thm)],[21614,21508,theory(equality)]) ).
cnf(21616,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[21615,21498]) ).
cnf(21617,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n0 != esk8_0 ),
inference(spm,[status(thm)],[21616,21492,theory(equality)]) ).
cnf(21618,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[21617,21482]) ).
cnf(21619,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0
| n0 != esk6_0 ),
inference(spm,[status(thm)],[21618,21476,theory(equality)]) ).
cnf(21620,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[21619,21468]) ).
cnf(21621,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != esk4_0 ),
inference(spm,[status(thm)],[21620,21458,theory(equality)]) ).
cnf(21622,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[21621,21457]) ).
cnf(21631,plain,
( sum(n2,sum(pred(n9),succ(n9))) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21205,21622,theory(equality)]) ).
cnf(21632,plain,
( sum(sum(n0,succ(n9)),sum(pred(n9),n2)) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21204,21622,theory(equality)]) ).
cnf(21633,plain,
( n9 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21631,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),173,theory(equality)]) ).
cnf(21634,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21632,215,theory(equality)]),192,theory(equality)]),204,theory(equality)]),112,theory(equality)]),82,theory(equality)]) ).
cnf(21635,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n9),succ(n9))) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,21633,theory(equality)]) ).
cnf(21636,plain,
( sum(sum(pred(esk3_0),succ(n9)),sum(pred(n9),succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,21633,theory(equality)]) ).
cnf(21637,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n7) = esk6_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21635,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(21638,plain,
( sum(sum(pred(esk3_0),n10),sum(n8,succ(esk3_0))) = esk5_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21636,215,theory(equality)]),204,theory(equality)]) ).
cnf(21643,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21637,21634,theory(equality)]) ).
cnf(21644,plain,
( n3 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21643,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(21645,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21638,21634,theory(equality)]) ).
cnf(21646,plain,
( n3 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21645,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(21647,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n3),succ(n3))) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,21644,theory(equality)]) ).
cnf(21648,plain,
( sum(sum(pred(esk5_0),succ(n3)),sum(pred(n3),succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,21644,theory(equality)]) ).
cnf(21649,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n6) = esk8_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21647,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(21650,plain,
( sum(sum(pred(esk5_0),n4),sum(n2,succ(esk5_0))) = esk7_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21648,221,theory(equality)]),210,theory(equality)]) ).
cnf(21657,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21649,21646,theory(equality)]) ).
cnf(21658,plain,
( n1 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21657,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(21659,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n1),succ(n1))) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,21658,theory(equality)]) ).
cnf(21660,plain,
( sum(sum(pred(esk7_0),succ(n1)),sum(pred(n1),succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,21658,theory(equality)]) ).
cnf(21661,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n2) = esk10_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21659,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(21662,plain,
( sum(sum(pred(esk7_0),n2),sum(n0,succ(esk7_0))) = esk9_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21660,223,theory(equality)]),212,theory(equality)]) ).
cnf(21667,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21650,21646,theory(equality)]) ).
cnf(21668,plain,
( n1 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21667,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(21671,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21661,21668,theory(equality)]) ).
cnf(21674,plain,
( n4 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21671,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(21675,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n4),succ(n4))) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,21674,theory(equality)]) ).
cnf(21676,plain,
( sum(sum(pred(esk9_0),succ(n4)),sum(pred(n4),succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,21674,theory(equality)]) ).
cnf(21677,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n8) = esk12_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21675,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(21678,plain,
( sum(sum(pred(esk9_0),n5),sum(n3,succ(esk9_0))) = esk11_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21676,220,theory(equality)]),209,theory(equality)]) ).
cnf(21683,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21662,21668,theory(equality)]) ).
cnf(21684,plain,
( n4 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21683,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(21687,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21677,21684,theory(equality)]) ).
cnf(21690,plain,
( n5 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21687,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(21691,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n5),succ(n5))) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,21690,theory(equality)]) ).
cnf(21692,plain,
( sum(sum(pred(esk11_0),succ(n5)),sum(pred(n5),succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,21690,theory(equality)]) ).
cnf(21693,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n10) = esk14_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21691,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(21694,plain,
( sum(sum(pred(esk11_0),n6),sum(n4,succ(esk11_0))) = esk13_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21692,219,theory(equality)]),208,theory(equality)]) ).
cnf(21699,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21678,21684,theory(equality)]) ).
cnf(21700,plain,
( n5 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21699,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(21703,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21693,21700,theory(equality)]) ).
cnf(21706,plain,
( n9 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21703,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(21707,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n9),succ(n9))) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,21706,theory(equality)]) ).
cnf(21708,plain,
( sum(sum(pred(esk13_0),succ(n9)),sum(pred(n9),succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,21706,theory(equality)]) ).
cnf(21709,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n7) = esk16_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21707,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(21710,plain,
( sum(sum(pred(esk13_0),n10),sum(n8,succ(esk13_0))) = esk15_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21708,215,theory(equality)]),204,theory(equality)]) ).
cnf(21715,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21694,21700,theory(equality)]) ).
cnf(21716,plain,
( n9 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21715,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(21719,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21709,21716,theory(equality)]) ).
cnf(21722,plain,
( n3 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21719,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(21723,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n3),succ(n3))) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,21722,theory(equality)]) ).
cnf(21724,plain,
( sum(sum(pred(esk15_0),succ(n3)),sum(pred(n3),succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,21722,theory(equality)]) ).
cnf(21725,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n6) = esk18_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21723,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(21726,plain,
( sum(sum(pred(esk15_0),n4),sum(n2,succ(esk15_0))) = esk17_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21724,221,theory(equality)]),210,theory(equality)]) ).
cnf(21731,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21710,21716,theory(equality)]) ).
cnf(21732,plain,
( n3 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21731,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(21737,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21725,21732,theory(equality)]) ).
cnf(21740,plain,
( n1 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21737,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(21741,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n1),succ(n1))) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,21740,theory(equality)]) ).
cnf(21742,plain,
( sum(sum(pred(esk17_0),succ(n1)),sum(pred(n1),succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,21740,theory(equality)]) ).
cnf(21743,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n2) = esk20_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21741,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(21744,plain,
( sum(sum(pred(esk17_0),n2),sum(n0,succ(esk17_0))) = esk19_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21742,223,theory(equality)]),212,theory(equality)]) ).
cnf(21747,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21726,21732,theory(equality)]) ).
cnf(21748,plain,
( n1 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21747,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(21751,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21743,21748,theory(equality)]) ).
cnf(21754,plain,
( n4 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21751,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(21757,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n4),succ(n4))) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,21754,theory(equality)]) ).
cnf(21758,plain,
( sum(sum(pred(esk19_0),succ(n4)),sum(pred(n4),succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,21754,theory(equality)]) ).
cnf(21759,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n8) = esk22_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21757,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(21760,plain,
( sum(sum(pred(esk19_0),n5),sum(n3,succ(esk19_0))) = esk21_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21758,220,theory(equality)]),209,theory(equality)]) ).
cnf(21763,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21744,21748,theory(equality)]) ).
cnf(21764,plain,
( n4 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21763,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(21767,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21759,21764,theory(equality)]) ).
cnf(21770,plain,
( n5 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21767,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(21775,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[21760,21764,theory(equality)]) ).
cnf(21776,plain,
( n5 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21775,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(21777,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n5 != esk22_0 ),
inference(spm,[status(thm)],[59,21776,theory(equality)]) ).
cnf(21778,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[21777,21770]) ).
cnf(21779,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n4 != esk20_0 ),
inference(spm,[status(thm)],[21778,21764,theory(equality)]) ).
cnf(21780,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[21779,21754]) ).
cnf(21781,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n1 != esk18_0 ),
inference(spm,[status(thm)],[21780,21748,theory(equality)]) ).
cnf(21784,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[21781,21740]) ).
cnf(21785,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n3 != esk16_0 ),
inference(spm,[status(thm)],[21784,21732,theory(equality)]) ).
cnf(21786,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[21785,21722]) ).
cnf(21787,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n9 != esk14_0 ),
inference(spm,[status(thm)],[21786,21716,theory(equality)]) ).
cnf(21788,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[21787,21706]) ).
cnf(21789,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n5 != esk12_0 ),
inference(spm,[status(thm)],[21788,21700,theory(equality)]) ).
cnf(21790,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[21789,21690]) ).
cnf(21791,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n4 != esk10_0 ),
inference(spm,[status(thm)],[21790,21684,theory(equality)]) ).
cnf(21792,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[21791,21674]) ).
cnf(21793,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n1 != esk8_0 ),
inference(spm,[status(thm)],[21792,21668,theory(equality)]) ).
cnf(21794,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[21793,21658]) ).
cnf(21795,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n3 != esk6_0 ),
inference(spm,[status(thm)],[21794,21646,theory(equality)]) ).
cnf(21796,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[21795,21644]) ).
cnf(21797,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n9 != esk4_0 ),
inference(spm,[status(thm)],[21796,21634,theory(equality)]) ).
cnf(21798,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(csr,[status(thm)],[21797,21633]) ).
cnf(21806,plain,
( sum(n2,sum(pred(n8),succ(n8))) = esk4_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21205,21798,theory(equality)]) ).
cnf(21807,plain,
( sum(sum(n0,succ(n8)),sum(pred(n8),n2)) = esk3_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21204,21798,theory(equality)]) ).
cnf(21808,plain,
( n7 = esk4_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21806,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),175,theory(equality)]) ).
cnf(21809,plain,
( n7 = esk3_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21807,216,theory(equality)]),193,theory(equality)]),205,theory(equality)]),123,theory(equality)]),94,theory(equality)]) ).
cnf(21810,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n7),succ(n7))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[76,21808,theory(equality)]) ).
cnf(21811,plain,
( sum(sum(pred(esk3_0),succ(n7)),sum(pred(n7),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[77,21808,theory(equality)]) ).
cnf(21812,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n3) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21810,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(21813,plain,
( sum(sum(pred(esk3_0),n8),sum(n6,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21811,217,theory(equality)]),206,theory(equality)]) ).
cnf(21818,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk6_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21812,21809,theory(equality)]) ).
cnf(21819,plain,
( n6 = esk6_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21818,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(21820,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n6),succ(n6))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[74,21819,theory(equality)]) ).
cnf(21821,plain,
( sum(sum(pred(esk5_0),succ(n6)),sum(pred(n6),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[75,21819,theory(equality)]) ).
cnf(21822,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n1) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21820,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(21823,plain,
( sum(sum(pred(esk5_0),n7),sum(n5,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21821,218,theory(equality)]),207,theory(equality)]) ).
cnf(21826,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk5_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21813,21809,theory(equality)]) ).
cnf(21827,plain,
( n6 = esk5_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21826,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(21830,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk8_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21822,21827,theory(equality)]) ).
cnf(21833,plain,
( n2 = esk8_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21830,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21834,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n2),succ(n2))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[72,21833,theory(equality)]) ).
cnf(21835,plain,
( sum(sum(pred(esk7_0),succ(n2)),sum(pred(n2),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[73,21833,theory(equality)]) ).
cnf(21836,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n4) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21834,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(21837,plain,
( sum(sum(pred(esk7_0),n3),sum(n1,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21835,222,theory(equality)]),211,theory(equality)]) ).
cnf(21842,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk7_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21823,21827,theory(equality)]) ).
cnf(21843,plain,
( n2 = esk7_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21842,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21846,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk10_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21836,21843,theory(equality)]) ).
cnf(21849,plain,
( n8 = esk10_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21846,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21850,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n8),succ(n8))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[70,21849,theory(equality)]) ).
cnf(21851,plain,
( sum(sum(pred(esk9_0),succ(n8)),sum(pred(n8),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[71,21849,theory(equality)]) ).
cnf(21852,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n5) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21850,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(21853,plain,
( sum(sum(pred(esk9_0),n9),sum(n7,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21851,216,theory(equality)]),205,theory(equality)]) ).
cnf(21858,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk9_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21837,21843,theory(equality)]) ).
cnf(21859,plain,
( n8 = esk9_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21858,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21862,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk12_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21852,21859,theory(equality)]) ).
cnf(21865,plain,
( n10 = esk12_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21862,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21866,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n10),succ(n10))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[68,21865,theory(equality)]) ).
cnf(21867,plain,
( sum(sum(pred(esk11_0),succ(n10)),sum(pred(n10),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[69,21865,theory(equality)]) ).
cnf(21868,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n9) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21866,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(21869,plain,
( sum(sum(pred(esk11_0),n0),sum(n9,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21867,214,theory(equality)]),203,theory(equality)]) ).
cnf(21874,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk11_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21853,21859,theory(equality)]) ).
cnf(21875,plain,
( n10 = esk11_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21874,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21878,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk14_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21868,21875,theory(equality)]) ).
cnf(21881,plain,
( n7 = esk14_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21878,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(21882,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n7),succ(n7))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[66,21881,theory(equality)]) ).
cnf(21883,plain,
( sum(sum(pred(esk13_0),succ(n7)),sum(pred(n7),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[67,21881,theory(equality)]) ).
cnf(21884,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n3) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21882,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(21885,plain,
( sum(sum(pred(esk13_0),n8),sum(n6,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21883,217,theory(equality)]),206,theory(equality)]) ).
cnf(21890,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk13_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21869,21875,theory(equality)]) ).
cnf(21891,plain,
( n7 = esk13_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21890,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(21894,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk16_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21884,21891,theory(equality)]) ).
cnf(21897,plain,
( n6 = esk16_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21894,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(21898,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n6),succ(n6))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[64,21897,theory(equality)]) ).
cnf(21899,plain,
( sum(sum(pred(esk15_0),succ(n6)),sum(pred(n6),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[65,21897,theory(equality)]) ).
cnf(21900,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n1) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21898,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(21901,plain,
( sum(sum(pred(esk15_0),n7),sum(n5,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21899,218,theory(equality)]),207,theory(equality)]) ).
cnf(21906,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk15_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21885,21891,theory(equality)]) ).
cnf(21907,plain,
( n6 = esk15_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21906,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(21910,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk18_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21900,21907,theory(equality)]) ).
cnf(21913,plain,
( n2 = esk18_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21910,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21914,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n2),succ(n2))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[62,21913,theory(equality)]) ).
cnf(21915,plain,
( sum(sum(pred(esk17_0),succ(n2)),sum(pred(n2),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[63,21913,theory(equality)]) ).
cnf(21916,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n4) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21914,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(21917,plain,
( sum(sum(pred(esk17_0),n3),sum(n1,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21915,222,theory(equality)]),211,theory(equality)]) ).
cnf(21922,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk17_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21901,21907,theory(equality)]) ).
cnf(21923,plain,
( n2 = esk17_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21922,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(21928,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk20_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21916,21923,theory(equality)]) ).
cnf(21931,plain,
( n8 = esk20_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21928,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21932,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n8),succ(n8))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[60,21931,theory(equality)]) ).
cnf(21933,plain,
( sum(sum(pred(esk19_0),succ(n8)),sum(pred(n8),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[61,21931,theory(equality)]) ).
cnf(21934,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n5) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21932,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(21935,plain,
( sum(sum(pred(esk19_0),n9),sum(n7,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21933,216,theory(equality)]),205,theory(equality)]) ).
cnf(21938,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk19_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21917,21923,theory(equality)]) ).
cnf(21939,plain,
( n8 = esk19_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21938,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(21942,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk22_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21934,21939,theory(equality)]) ).
cnf(21945,plain,
( n10 = esk22_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21942,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21950,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk21_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21935,21939,theory(equality)]) ).
cnf(21951,plain,
( n10 = esk21_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21950,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(21952,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n10 != esk22_0 ),
inference(spm,[status(thm)],[59,21951,theory(equality)]) ).
cnf(21953,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[21952,21945]) ).
cnf(21954,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n8 != esk20_0 ),
inference(spm,[status(thm)],[21953,21939,theory(equality)]) ).
cnf(21957,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[21954,21931]) ).
cnf(21958,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n2 != esk18_0 ),
inference(spm,[status(thm)],[21957,21923,theory(equality)]) ).
cnf(21959,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[21958,21913]) ).
cnf(21960,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n6 != esk16_0 ),
inference(spm,[status(thm)],[21959,21907,theory(equality)]) ).
cnf(21961,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[21960,21897]) ).
cnf(21962,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n7 != esk14_0 ),
inference(spm,[status(thm)],[21961,21891,theory(equality)]) ).
cnf(21963,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[21962,21881]) ).
cnf(21964,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n10 != esk12_0 ),
inference(spm,[status(thm)],[21963,21875,theory(equality)]) ).
cnf(21965,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[21964,21865]) ).
cnf(21966,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n8 != esk10_0 ),
inference(spm,[status(thm)],[21965,21859,theory(equality)]) ).
cnf(21967,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[21966,21849]) ).
cnf(21968,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n2 != esk8_0 ),
inference(spm,[status(thm)],[21967,21843,theory(equality)]) ).
cnf(21969,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[21968,21833]) ).
cnf(21970,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0
| n6 != esk6_0 ),
inference(spm,[status(thm)],[21969,21827,theory(equality)]) ).
cnf(21971,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[21970,21819]) ).
cnf(21972,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n7 != esk4_0 ),
inference(spm,[status(thm)],[21971,21809,theory(equality)]) ).
cnf(21973,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[21972,21808]) ).
cnf(21980,plain,
( sum(n2,sum(pred(n7),succ(n7))) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[21205,21973,theory(equality)]) ).
cnf(21981,plain,
( sum(sum(n0,succ(n7)),sum(pred(n7),n2)) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[21204,21973,theory(equality)]) ).
cnf(21982,plain,
( n5 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21980,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),177,theory(equality)]) ).
cnf(21983,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21981,217,theory(equality)]),194,theory(equality)]),206,theory(equality)]),134,theory(equality)]),106,theory(equality)]) ).
cnf(21984,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n5),succ(n5))) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,21982,theory(equality)]) ).
cnf(21985,plain,
( sum(sum(pred(esk3_0),succ(n5)),sum(pred(n5),succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,21982,theory(equality)]) ).
cnf(21986,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n10) = esk6_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21984,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(21987,plain,
( sum(sum(pred(esk3_0),n6),sum(n4,succ(esk3_0))) = esk5_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21985,219,theory(equality)]),208,theory(equality)]) ).
cnf(21992,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[21986,21983,theory(equality)]) ).
cnf(21993,plain,
( n9 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21992,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(21994,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n9),succ(n9))) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,21993,theory(equality)]) ).
cnf(21995,plain,
( sum(sum(pred(esk5_0),succ(n9)),sum(pred(n9),succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,21993,theory(equality)]) ).
cnf(21996,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n7) = esk8_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21994,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(21997,plain,
( sum(sum(pred(esk5_0),n10),sum(n8,succ(esk5_0))) = esk7_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21995,215,theory(equality)]),204,theory(equality)]) ).
cnf(22000,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[21987,21983,theory(equality)]) ).
cnf(22001,plain,
( n9 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22000,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(22004,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[21996,22001,theory(equality)]) ).
cnf(22007,plain,
( n3 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22004,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(22008,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n3),succ(n3))) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,22007,theory(equality)]) ).
cnf(22009,plain,
( sum(sum(pred(esk7_0),succ(n3)),sum(pred(n3),succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,22007,theory(equality)]) ).
cnf(22010,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n6) = esk10_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22008,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(22011,plain,
( sum(sum(pred(esk7_0),n4),sum(n2,succ(esk7_0))) = esk9_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22009,221,theory(equality)]),210,theory(equality)]) ).
cnf(22016,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[21997,22001,theory(equality)]) ).
cnf(22017,plain,
( n3 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22016,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(22020,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22010,22017,theory(equality)]) ).
cnf(22023,plain,
( n1 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22020,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(22024,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n1),succ(n1))) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,22023,theory(equality)]) ).
cnf(22025,plain,
( sum(sum(pred(esk9_0),succ(n1)),sum(pred(n1),succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,22023,theory(equality)]) ).
cnf(22026,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n2) = esk12_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22024,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(22027,plain,
( sum(sum(pred(esk9_0),n2),sum(n0,succ(esk9_0))) = esk11_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22025,223,theory(equality)]),212,theory(equality)]) ).
cnf(22032,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22011,22017,theory(equality)]) ).
cnf(22033,plain,
( n1 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22032,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(22036,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22026,22033,theory(equality)]) ).
cnf(22039,plain,
( n4 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22036,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22040,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n4),succ(n4))) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,22039,theory(equality)]) ).
cnf(22041,plain,
( sum(sum(pred(esk11_0),succ(n4)),sum(pred(n4),succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,22039,theory(equality)]) ).
cnf(22042,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n8) = esk14_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22040,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(22043,plain,
( sum(sum(pred(esk11_0),n5),sum(n3,succ(esk11_0))) = esk13_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22041,220,theory(equality)]),209,theory(equality)]) ).
cnf(22048,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22027,22033,theory(equality)]) ).
cnf(22049,plain,
( n4 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22048,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22052,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22042,22049,theory(equality)]) ).
cnf(22055,plain,
( n5 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22052,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(22056,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n5),succ(n5))) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,22055,theory(equality)]) ).
cnf(22057,plain,
( sum(sum(pred(esk13_0),succ(n5)),sum(pred(n5),succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,22055,theory(equality)]) ).
cnf(22058,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n10) = esk16_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22056,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(22059,plain,
( sum(sum(pred(esk13_0),n6),sum(n4,succ(esk13_0))) = esk15_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22057,219,theory(equality)]),208,theory(equality)]) ).
cnf(22064,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22043,22049,theory(equality)]) ).
cnf(22065,plain,
( n5 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22064,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(22068,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22058,22065,theory(equality)]) ).
cnf(22071,plain,
( n9 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22068,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(22072,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n9),succ(n9))) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,22071,theory(equality)]) ).
cnf(22073,plain,
( sum(sum(pred(esk15_0),succ(n9)),sum(pred(n9),succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,22071,theory(equality)]) ).
cnf(22074,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n7) = esk18_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22072,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(22075,plain,
( sum(sum(pred(esk15_0),n10),sum(n8,succ(esk15_0))) = esk17_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22073,215,theory(equality)]),204,theory(equality)]) ).
cnf(22080,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22059,22065,theory(equality)]) ).
cnf(22081,plain,
( n9 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22080,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(22084,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22074,22081,theory(equality)]) ).
cnf(22087,plain,
( n3 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22084,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(22088,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n3),succ(n3))) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,22087,theory(equality)]) ).
cnf(22089,plain,
( sum(sum(pred(esk17_0),succ(n3)),sum(pred(n3),succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,22087,theory(equality)]) ).
cnf(22090,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n6) = esk20_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22088,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(22091,plain,
( sum(sum(pred(esk17_0),n4),sum(n2,succ(esk17_0))) = esk19_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22089,221,theory(equality)]),210,theory(equality)]) ).
cnf(22096,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22075,22081,theory(equality)]) ).
cnf(22097,plain,
( n3 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22096,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(22102,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22090,22097,theory(equality)]) ).
cnf(22105,plain,
( n1 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22102,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(22106,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n1),succ(n1))) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,22105,theory(equality)]) ).
cnf(22107,plain,
( sum(sum(pred(esk19_0),succ(n1)),sum(pred(n1),succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,22105,theory(equality)]) ).
cnf(22108,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n2) = esk22_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22106,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(22109,plain,
( sum(sum(pred(esk19_0),n2),sum(n0,succ(esk19_0))) = esk21_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22107,223,theory(equality)]),212,theory(equality)]) ).
cnf(22112,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22091,22097,theory(equality)]) ).
cnf(22113,plain,
( n1 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22112,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(22116,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22108,22113,theory(equality)]) ).
cnf(22119,plain,
( n4 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22116,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22124,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[22109,22113,theory(equality)]) ).
cnf(22125,plain,
( n4 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22124,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22126,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n4 != esk22_0 ),
inference(spm,[status(thm)],[59,22125,theory(equality)]) ).
cnf(22127,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[22126,22119]) ).
cnf(22128,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n1 != esk20_0 ),
inference(spm,[status(thm)],[22127,22113,theory(equality)]) ).
cnf(22131,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[22128,22105]) ).
cnf(22132,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n3 != esk18_0 ),
inference(spm,[status(thm)],[22131,22097,theory(equality)]) ).
cnf(22133,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[22132,22087]) ).
cnf(22134,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n9 != esk16_0 ),
inference(spm,[status(thm)],[22133,22081,theory(equality)]) ).
cnf(22135,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[22134,22071]) ).
cnf(22136,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n5 != esk14_0 ),
inference(spm,[status(thm)],[22135,22065,theory(equality)]) ).
cnf(22137,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[22136,22055]) ).
cnf(22138,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n4 != esk12_0 ),
inference(spm,[status(thm)],[22137,22049,theory(equality)]) ).
cnf(22139,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[22138,22039]) ).
cnf(22140,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n1 != esk10_0 ),
inference(spm,[status(thm)],[22139,22033,theory(equality)]) ).
cnf(22141,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[22140,22023]) ).
cnf(22142,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n3 != esk8_0 ),
inference(spm,[status(thm)],[22141,22017,theory(equality)]) ).
cnf(22143,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[22142,22007]) ).
cnf(22144,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n9 != esk6_0 ),
inference(spm,[status(thm)],[22143,22001,theory(equality)]) ).
cnf(22145,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[22144,21993]) ).
cnf(22146,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n5 != esk4_0 ),
inference(spm,[status(thm)],[22145,21983,theory(equality)]) ).
cnf(22147,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(csr,[status(thm)],[22146,21982]) ).
cnf(22153,plain,
( sum(n2,sum(pred(n6),succ(n6))) = esk4_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21205,22147,theory(equality)]) ).
cnf(22154,plain,
( sum(sum(n0,succ(n6)),sum(pred(n6),n2)) = esk3_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21204,22147,theory(equality)]) ).
cnf(22155,plain,
( n3 = esk4_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22153,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),179,theory(equality)]) ).
cnf(22156,plain,
( n3 = esk3_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22154,218,theory(equality)]),195,theory(equality)]),207,theory(equality)]),145,theory(equality)]),118,theory(equality)]) ).
cnf(22157,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n3),succ(n3))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[76,22155,theory(equality)]) ).
cnf(22158,plain,
( sum(sum(pred(esk3_0),succ(n3)),sum(pred(n3),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[77,22155,theory(equality)]) ).
cnf(22159,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n6) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22157,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(22160,plain,
( sum(sum(pred(esk3_0),n4),sum(n2,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22158,221,theory(equality)]),210,theory(equality)]) ).
cnf(22165,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk6_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22159,22156,theory(equality)]) ).
cnf(22166,plain,
( n1 = esk6_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22165,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(22167,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk5_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22160,22156,theory(equality)]) ).
cnf(22168,plain,
( n1 = esk5_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22167,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(22169,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n1),succ(n1))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[74,22166,theory(equality)]) ).
cnf(22170,plain,
( sum(sum(pred(esk5_0),succ(n1)),sum(pred(n1),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[75,22166,theory(equality)]) ).
cnf(22171,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n2) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22169,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(22172,plain,
( sum(sum(pred(esk5_0),n2),sum(n0,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22170,223,theory(equality)]),212,theory(equality)]) ).
cnf(22179,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk8_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22171,22168,theory(equality)]) ).
cnf(22180,plain,
( n4 = esk8_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22179,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22181,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n4),succ(n4))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[72,22180,theory(equality)]) ).
cnf(22182,plain,
( sum(sum(pred(esk7_0),succ(n4)),sum(pred(n4),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[73,22180,theory(equality)]) ).
cnf(22183,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n8) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22181,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(22184,plain,
( sum(sum(pred(esk7_0),n5),sum(n3,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22182,220,theory(equality)]),209,theory(equality)]) ).
cnf(22189,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk7_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22172,22168,theory(equality)]) ).
cnf(22190,plain,
( n4 = esk7_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22189,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22193,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk10_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22183,22190,theory(equality)]) ).
cnf(22196,plain,
( n5 = esk10_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22193,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(22197,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n5),succ(n5))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[70,22196,theory(equality)]) ).
cnf(22198,plain,
( sum(sum(pred(esk9_0),succ(n5)),sum(pred(n5),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[71,22196,theory(equality)]) ).
cnf(22199,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n10) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22197,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(22200,plain,
( sum(sum(pred(esk9_0),n6),sum(n4,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22198,219,theory(equality)]),208,theory(equality)]) ).
cnf(22205,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk9_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22184,22190,theory(equality)]) ).
cnf(22206,plain,
( n5 = esk9_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22205,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(22209,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk12_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22199,22206,theory(equality)]) ).
cnf(22212,plain,
( n9 = esk12_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22209,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(22213,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n9),succ(n9))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[68,22212,theory(equality)]) ).
cnf(22214,plain,
( sum(sum(pred(esk11_0),succ(n9)),sum(pred(n9),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[69,22212,theory(equality)]) ).
cnf(22215,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n7) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22213,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(22216,plain,
( sum(sum(pred(esk11_0),n10),sum(n8,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22214,215,theory(equality)]),204,theory(equality)]) ).
cnf(22221,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk11_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22200,22206,theory(equality)]) ).
cnf(22222,plain,
( n9 = esk11_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22221,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(22225,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk14_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22215,22222,theory(equality)]) ).
cnf(22228,plain,
( n3 = esk14_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22225,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(22229,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n3),succ(n3))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[66,22228,theory(equality)]) ).
cnf(22230,plain,
( sum(sum(pred(esk13_0),succ(n3)),sum(pred(n3),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[67,22228,theory(equality)]) ).
cnf(22231,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n6) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22229,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(22232,plain,
( sum(sum(pred(esk13_0),n4),sum(n2,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22230,221,theory(equality)]),210,theory(equality)]) ).
cnf(22237,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk13_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22216,22222,theory(equality)]) ).
cnf(22238,plain,
( n3 = esk13_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22237,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(22241,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk16_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22231,22238,theory(equality)]) ).
cnf(22244,plain,
( n1 = esk16_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22241,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(22245,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n1),succ(n1))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[64,22244,theory(equality)]) ).
cnf(22246,plain,
( sum(sum(pred(esk15_0),succ(n1)),sum(pred(n1),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[65,22244,theory(equality)]) ).
cnf(22247,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n2) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22245,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(22248,plain,
( sum(sum(pred(esk15_0),n2),sum(n0,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22246,223,theory(equality)]),212,theory(equality)]) ).
cnf(22253,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk15_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22232,22238,theory(equality)]) ).
cnf(22254,plain,
( n1 = esk15_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22253,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(22259,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk18_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22247,22254,theory(equality)]) ).
cnf(22262,plain,
( n4 = esk18_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22259,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22263,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n4),succ(n4))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[62,22262,theory(equality)]) ).
cnf(22264,plain,
( sum(sum(pred(esk17_0),succ(n4)),sum(pred(n4),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[63,22262,theory(equality)]) ).
cnf(22265,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n8) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22263,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(22266,plain,
( sum(sum(pred(esk17_0),n5),sum(n3,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22264,220,theory(equality)]),209,theory(equality)]) ).
cnf(22269,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk17_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22248,22254,theory(equality)]) ).
cnf(22270,plain,
( n4 = esk17_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22269,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22273,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk20_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22265,22270,theory(equality)]) ).
cnf(22276,plain,
( n5 = esk20_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22273,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(22279,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n5),succ(n5))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[60,22276,theory(equality)]) ).
cnf(22280,plain,
( sum(sum(pred(esk19_0),succ(n5)),sum(pred(n5),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[61,22276,theory(equality)]) ).
cnf(22281,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n10) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22279,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(22282,plain,
( sum(sum(pred(esk19_0),n6),sum(n4,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22280,219,theory(equality)]),208,theory(equality)]) ).
cnf(22285,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk19_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22266,22270,theory(equality)]) ).
cnf(22286,plain,
( n5 = esk19_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22285,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(22289,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk22_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22281,22286,theory(equality)]) ).
cnf(22292,plain,
( n9 = esk22_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22289,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(22297,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk21_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22282,22286,theory(equality)]) ).
cnf(22298,plain,
( n9 = esk21_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22297,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(22299,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n9 != esk22_0 ),
inference(spm,[status(thm)],[59,22298,theory(equality)]) ).
cnf(22300,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[22299,22292]) ).
cnf(22301,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n5 != esk20_0 ),
inference(spm,[status(thm)],[22300,22286,theory(equality)]) ).
cnf(22302,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[22301,22276]) ).
cnf(22303,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n4 != esk18_0 ),
inference(spm,[status(thm)],[22302,22270,theory(equality)]) ).
cnf(22306,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[22303,22262]) ).
cnf(22307,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n1 != esk16_0 ),
inference(spm,[status(thm)],[22306,22254,theory(equality)]) ).
cnf(22308,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[22307,22244]) ).
cnf(22309,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n3 != esk14_0 ),
inference(spm,[status(thm)],[22308,22238,theory(equality)]) ).
cnf(22310,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[22309,22228]) ).
cnf(22311,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n9 != esk12_0 ),
inference(spm,[status(thm)],[22310,22222,theory(equality)]) ).
cnf(22312,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[22311,22212]) ).
cnf(22313,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n5 != esk10_0 ),
inference(spm,[status(thm)],[22312,22206,theory(equality)]) ).
cnf(22314,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[22313,22196]) ).
cnf(22315,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n4 != esk8_0 ),
inference(spm,[status(thm)],[22314,22190,theory(equality)]) ).
cnf(22316,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[22315,22180]) ).
cnf(22317,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0
| n1 != esk6_0 ),
inference(spm,[status(thm)],[22316,22168,theory(equality)]) ).
cnf(22318,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[22317,22166]) ).
cnf(22319,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n3 != esk4_0 ),
inference(spm,[status(thm)],[22318,22156,theory(equality)]) ).
cnf(22320,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[22319,22155]) ).
cnf(22325,plain,
( sum(n2,sum(pred(n5),succ(n5))) = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[21205,22320,theory(equality)]) ).
cnf(22326,plain,
( sum(sum(n0,succ(n5)),sum(pred(n5),n2)) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[21204,22320,theory(equality)]) ).
cnf(22327,plain,
( n1 = esk4_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22325,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),170,theory(equality)]) ).
cnf(22328,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22326,219,theory(equality)]),196,theory(equality)]),208,theory(equality)]),156,theory(equality)]),130,theory(equality)]) ).
cnf(22329,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n1),succ(n1))) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,22327,theory(equality)]) ).
cnf(22330,plain,
( sum(sum(pred(esk3_0),succ(n1)),sum(pred(n1),succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,22327,theory(equality)]) ).
cnf(22331,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n2) = esk6_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22329,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(22332,plain,
( sum(sum(pred(esk3_0),n2),sum(n0,succ(esk3_0))) = esk5_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22330,223,theory(equality)]),212,theory(equality)]) ).
cnf(22337,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22331,22328,theory(equality)]) ).
cnf(22338,plain,
( n4 = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22337,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22339,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n4),succ(n4))) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,22338,theory(equality)]) ).
cnf(22340,plain,
( sum(sum(pred(esk5_0),succ(n4)),sum(pred(n4),succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,22338,theory(equality)]) ).
cnf(22341,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n8) = esk8_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22339,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(22342,plain,
( sum(sum(pred(esk5_0),n5),sum(n3,succ(esk5_0))) = esk7_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22340,220,theory(equality)]),209,theory(equality)]) ).
cnf(22345,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22332,22328,theory(equality)]) ).
cnf(22346,plain,
( n4 = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22345,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22351,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22341,22346,theory(equality)]) ).
cnf(22352,plain,
( n5 = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22351,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(22353,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n5),succ(n5))) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,22352,theory(equality)]) ).
cnf(22354,plain,
( sum(sum(pred(esk7_0),succ(n5)),sum(pred(n5),succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,22352,theory(equality)]) ).
cnf(22355,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n10) = esk10_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22353,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(22356,plain,
( sum(sum(pred(esk7_0),n6),sum(n4,succ(esk7_0))) = esk9_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22354,219,theory(equality)]),208,theory(equality)]) ).
cnf(22361,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22342,22346,theory(equality)]) ).
cnf(22362,plain,
( n5 = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22361,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(22365,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22355,22362,theory(equality)]) ).
cnf(22368,plain,
( n9 = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22365,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(22369,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n9),succ(n9))) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,22368,theory(equality)]) ).
cnf(22370,plain,
( sum(sum(pred(esk9_0),succ(n9)),sum(pred(n9),succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,22368,theory(equality)]) ).
cnf(22371,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n7) = esk12_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22369,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(22372,plain,
( sum(sum(pred(esk9_0),n10),sum(n8,succ(esk9_0))) = esk11_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22370,215,theory(equality)]),204,theory(equality)]) ).
cnf(22377,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22356,22362,theory(equality)]) ).
cnf(22378,plain,
( n9 = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22377,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(22381,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22371,22378,theory(equality)]) ).
cnf(22384,plain,
( n3 = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22381,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(22385,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n3),succ(n3))) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,22384,theory(equality)]) ).
cnf(22386,plain,
( sum(sum(pred(esk11_0),succ(n3)),sum(pred(n3),succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,22384,theory(equality)]) ).
cnf(22387,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n6) = esk14_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22385,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(22388,plain,
( sum(sum(pred(esk11_0),n4),sum(n2,succ(esk11_0))) = esk13_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22386,221,theory(equality)]),210,theory(equality)]) ).
cnf(22393,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22372,22378,theory(equality)]) ).
cnf(22394,plain,
( n3 = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22393,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(22399,plain,
( sum(sum(pred(n3),succ(n3)),n6) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22387,22394,theory(equality)]) ).
cnf(22402,plain,
( n1 = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22399,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(22403,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n1),succ(n1))) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,22402,theory(equality)]) ).
cnf(22404,plain,
( sum(sum(pred(esk13_0),succ(n1)),sum(pred(n1),succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,22402,theory(equality)]) ).
cnf(22405,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n2) = esk16_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22403,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(22406,plain,
( sum(sum(pred(esk13_0),n2),sum(n0,succ(esk13_0))) = esk15_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22404,223,theory(equality)]),212,theory(equality)]) ).
cnf(22409,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22388,22394,theory(equality)]) ).
cnf(22410,plain,
( n1 = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22409,210,theory(equality)]),176,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(22413,plain,
( sum(sum(pred(n1),succ(n1)),n2) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22405,22410,theory(equality)]) ).
cnf(22416,plain,
( n4 = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22413,212,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22419,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n4),succ(n4))) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,22416,theory(equality)]) ).
cnf(22420,plain,
( sum(sum(pred(esk15_0),succ(n4)),sum(pred(n4),succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,22416,theory(equality)]) ).
cnf(22421,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n8) = esk18_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22419,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(22422,plain,
( sum(sum(pred(esk15_0),n5),sum(n3,succ(esk15_0))) = esk17_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22420,220,theory(equality)]),209,theory(equality)]) ).
cnf(22425,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22406,22410,theory(equality)]) ).
cnf(22426,plain,
( n4 = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22425,212,theory(equality)]),200,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(22429,plain,
( sum(sum(pred(n4),succ(n4)),n8) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22421,22426,theory(equality)]) ).
cnf(22432,plain,
( n5 = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22429,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(22433,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n5),succ(n5))) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,22432,theory(equality)]) ).
cnf(22434,plain,
( sum(sum(pred(esk17_0),succ(n5)),sum(pred(n5),succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,22432,theory(equality)]) ).
cnf(22435,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n10) = esk20_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22433,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(22436,plain,
( sum(sum(pred(esk17_0),n6),sum(n4,succ(esk17_0))) = esk19_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22434,219,theory(equality)]),208,theory(equality)]) ).
cnf(22441,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22422,22426,theory(equality)]) ).
cnf(22442,plain,
( n5 = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22441,209,theory(equality)]),164,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(22445,plain,
( sum(sum(pred(n5),succ(n5)),n10) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22435,22442,theory(equality)]) ).
cnf(22448,plain,
( n9 = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22445,208,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(22449,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n9),succ(n9))) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,22448,theory(equality)]) ).
cnf(22450,plain,
( sum(sum(pred(esk19_0),succ(n9)),sum(pred(n9),succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,22448,theory(equality)]) ).
cnf(22451,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n7) = esk22_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22449,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(22452,plain,
( sum(sum(pred(esk19_0),n10),sum(n8,succ(esk19_0))) = esk21_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22450,215,theory(equality)]),204,theory(equality)]) ).
cnf(22457,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22436,22442,theory(equality)]) ).
cnf(22458,plain,
( n9 = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22457,208,theory(equality)]),152,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(22461,plain,
( sum(sum(pred(n9),succ(n9)),n7) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22451,22458,theory(equality)]) ).
cnf(22464,plain,
( n3 = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22461,204,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(22469,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[22452,22458,theory(equality)]) ).
cnf(22470,plain,
( n3 = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22469,204,theory(equality)]),104,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(22471,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n3 != esk22_0 ),
inference(spm,[status(thm)],[59,22470,theory(equality)]) ).
cnf(22474,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[22471,22464]) ).
cnf(22475,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n9 != esk20_0 ),
inference(spm,[status(thm)],[22474,22458,theory(equality)]) ).
cnf(22476,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[22475,22448]) ).
cnf(22477,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n5 != esk18_0 ),
inference(spm,[status(thm)],[22476,22442,theory(equality)]) ).
cnf(22478,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[22477,22432]) ).
cnf(22479,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n4 != esk16_0 ),
inference(spm,[status(thm)],[22478,22426,theory(equality)]) ).
cnf(22480,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[22479,22416]) ).
cnf(22481,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n1 != esk14_0 ),
inference(spm,[status(thm)],[22480,22410,theory(equality)]) ).
cnf(22482,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[22481,22402]) ).
cnf(22483,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n3 != esk12_0 ),
inference(spm,[status(thm)],[22482,22394,theory(equality)]) ).
cnf(22484,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[22483,22384]) ).
cnf(22485,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n9 != esk10_0 ),
inference(spm,[status(thm)],[22484,22378,theory(equality)]) ).
cnf(22486,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[22485,22368]) ).
cnf(22487,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n5 != esk8_0 ),
inference(spm,[status(thm)],[22486,22362,theory(equality)]) ).
cnf(22488,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[22487,22352]) ).
cnf(22489,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n4 != esk6_0 ),
inference(spm,[status(thm)],[22488,22346,theory(equality)]) ).
cnf(22490,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[22489,22338]) ).
cnf(22491,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n1 != esk4_0 ),
inference(spm,[status(thm)],[22490,22328,theory(equality)]) ).
cnf(22492,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(csr,[status(thm)],[22491,22327]) ).
cnf(22496,plain,
( sum(n2,sum(pred(n4),succ(n4))) = esk4_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21205,22492,theory(equality)]) ).
cnf(22497,plain,
( sum(sum(n0,succ(n4)),sum(pred(n4),n2)) = esk3_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21204,22492,theory(equality)]) ).
cnf(22498,plain,
( n10 = esk4_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22496,209,theory(equality)]),220,theory(equality)]),164,theory(equality)]),172,theory(equality)]) ).
cnf(22499,plain,
( n10 = esk3_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22497,220,theory(equality)]),197,theory(equality)]),209,theory(equality)]),167,theory(equality)]),142,theory(equality)]) ).
cnf(22500,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n10),succ(n10))) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[76,22498,theory(equality)]) ).
cnf(22501,plain,
( sum(sum(pred(esk3_0),succ(n10)),sum(pred(n10),succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[77,22498,theory(equality)]) ).
cnf(22502,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n9) = esk6_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22500,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(22503,plain,
( sum(sum(pred(esk3_0),n0),sum(n9,succ(esk3_0))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22501,214,theory(equality)]),203,theory(equality)]) ).
cnf(22508,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk6_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22502,22499,theory(equality)]) ).
cnf(22509,plain,
( n7 = esk6_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22508,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22510,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n7),succ(n7))) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[74,22509,theory(equality)]) ).
cnf(22511,plain,
( sum(sum(pred(esk5_0),succ(n7)),sum(pred(n7),succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[75,22509,theory(equality)]) ).
cnf(22512,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n3) = esk8_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22510,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(22513,plain,
( sum(sum(pred(esk5_0),n8),sum(n6,succ(esk5_0))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22511,217,theory(equality)]),206,theory(equality)]) ).
cnf(22516,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk5_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22503,22499,theory(equality)]) ).
cnf(22517,plain,
( n7 = esk5_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22516,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22522,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk8_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22512,22517,theory(equality)]) ).
cnf(22525,plain,
( n6 = esk8_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22522,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(22526,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n6),succ(n6))) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[72,22525,theory(equality)]) ).
cnf(22527,plain,
( sum(sum(pred(esk7_0),succ(n6)),sum(pred(n6),succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[73,22525,theory(equality)]) ).
cnf(22528,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n1) = esk10_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22526,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(22529,plain,
( sum(sum(pred(esk7_0),n7),sum(n5,succ(esk7_0))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22527,218,theory(equality)]),207,theory(equality)]) ).
cnf(22532,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk7_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22513,22517,theory(equality)]) ).
cnf(22533,plain,
( n6 = esk7_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22532,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(22536,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk10_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22528,22533,theory(equality)]) ).
cnf(22539,plain,
( n2 = esk10_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22536,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22542,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n2),succ(n2))) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[70,22539,theory(equality)]) ).
cnf(22543,plain,
( sum(sum(pred(esk9_0),succ(n2)),sum(pred(n2),succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[71,22539,theory(equality)]) ).
cnf(22544,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n4) = esk12_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22542,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(22545,plain,
( sum(sum(pred(esk9_0),n3),sum(n1,succ(esk9_0))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22543,222,theory(equality)]),211,theory(equality)]) ).
cnf(22548,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk9_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22529,22533,theory(equality)]) ).
cnf(22549,plain,
( n2 = esk9_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22548,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22552,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk12_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22544,22549,theory(equality)]) ).
cnf(22555,plain,
( n8 = esk12_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22552,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(22556,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n8),succ(n8))) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[68,22555,theory(equality)]) ).
cnf(22557,plain,
( sum(sum(pred(esk11_0),succ(n8)),sum(pred(n8),succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[69,22555,theory(equality)]) ).
cnf(22558,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n5) = esk14_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22556,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(22559,plain,
( sum(sum(pred(esk11_0),n9),sum(n7,succ(esk11_0))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22557,216,theory(equality)]),205,theory(equality)]) ).
cnf(22564,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk11_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22545,22549,theory(equality)]) ).
cnf(22565,plain,
( n8 = esk11_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22564,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(22568,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk14_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22558,22565,theory(equality)]) ).
cnf(22571,plain,
( n10 = esk14_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22568,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(22572,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n10),succ(n10))) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[66,22571,theory(equality)]) ).
cnf(22573,plain,
( sum(sum(pred(esk13_0),succ(n10)),sum(pred(n10),succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[67,22571,theory(equality)]) ).
cnf(22574,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n9) = esk16_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22572,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(22575,plain,
( sum(sum(pred(esk13_0),n0),sum(n9,succ(esk13_0))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22573,214,theory(equality)]),203,theory(equality)]) ).
cnf(22580,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk13_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22559,22565,theory(equality)]) ).
cnf(22581,plain,
( n10 = esk13_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22580,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(22584,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk16_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22574,22581,theory(equality)]) ).
cnf(22587,plain,
( n7 = esk16_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22584,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22588,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n7),succ(n7))) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[64,22587,theory(equality)]) ).
cnf(22589,plain,
( sum(sum(pred(esk15_0),succ(n7)),sum(pred(n7),succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[65,22587,theory(equality)]) ).
cnf(22590,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n3) = esk18_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22588,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(22591,plain,
( sum(sum(pred(esk15_0),n8),sum(n6,succ(esk15_0))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22589,217,theory(equality)]),206,theory(equality)]) ).
cnf(22596,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk15_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22575,22581,theory(equality)]) ).
cnf(22597,plain,
( n7 = esk15_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22596,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22600,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk18_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22590,22597,theory(equality)]) ).
cnf(22603,plain,
( n6 = esk18_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22600,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(22604,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n6),succ(n6))) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[62,22603,theory(equality)]) ).
cnf(22605,plain,
( sum(sum(pred(esk17_0),succ(n6)),sum(pred(n6),succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[63,22603,theory(equality)]) ).
cnf(22606,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n1) = esk20_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22604,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(22607,plain,
( sum(sum(pred(esk17_0),n7),sum(n5,succ(esk17_0))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22605,218,theory(equality)]),207,theory(equality)]) ).
cnf(22612,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk17_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22591,22597,theory(equality)]) ).
cnf(22613,plain,
( n6 = esk17_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22612,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(22616,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk20_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22606,22613,theory(equality)]) ).
cnf(22619,plain,
( n2 = esk20_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22616,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22620,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n2),succ(n2))) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[60,22619,theory(equality)]) ).
cnf(22621,plain,
( sum(sum(pred(esk19_0),succ(n2)),sum(pred(n2),succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[61,22619,theory(equality)]) ).
cnf(22622,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n4) = esk22_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22620,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(22623,plain,
( sum(sum(pred(esk19_0),n3),sum(n1,succ(esk19_0))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22621,222,theory(equality)]),211,theory(equality)]) ).
cnf(22628,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk19_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22607,22613,theory(equality)]) ).
cnf(22629,plain,
( n2 = esk19_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22628,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22632,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk22_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22622,22629,theory(equality)]) ).
cnf(22635,plain,
( n8 = esk22_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22632,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(22640,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk21_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22623,22629,theory(equality)]) ).
cnf(22641,plain,
( n8 = esk21_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22640,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(22644,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n8 != esk22_0 ),
inference(spm,[status(thm)],[59,22641,theory(equality)]) ).
cnf(22645,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[22644,22635]) ).
cnf(22646,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n2 != esk20_0 ),
inference(spm,[status(thm)],[22645,22629,theory(equality)]) ).
cnf(22647,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[22646,22619]) ).
cnf(22648,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n6 != esk18_0 ),
inference(spm,[status(thm)],[22647,22613,theory(equality)]) ).
cnf(22649,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[22648,22603]) ).
cnf(22650,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n7 != esk16_0 ),
inference(spm,[status(thm)],[22649,22597,theory(equality)]) ).
cnf(22651,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[22650,22587]) ).
cnf(22652,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n10 != esk14_0 ),
inference(spm,[status(thm)],[22651,22581,theory(equality)]) ).
cnf(22653,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[22652,22571]) ).
cnf(22654,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n8 != esk12_0 ),
inference(spm,[status(thm)],[22653,22565,theory(equality)]) ).
cnf(22655,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[22654,22555]) ).
cnf(22656,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n2 != esk10_0 ),
inference(spm,[status(thm)],[22655,22549,theory(equality)]) ).
cnf(22657,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[22656,22539]) ).
cnf(22658,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n6 != esk8_0 ),
inference(spm,[status(thm)],[22657,22533,theory(equality)]) ).
cnf(22659,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[22658,22525]) ).
cnf(22660,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0
| n7 != esk6_0 ),
inference(spm,[status(thm)],[22659,22517,theory(equality)]) ).
cnf(22661,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[22660,22509]) ).
cnf(22662,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != esk4_0 ),
inference(spm,[status(thm)],[22661,22499,theory(equality)]) ).
cnf(22663,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(csr,[status(thm)],[22662,22498]) ).
cnf(22666,plain,
( sum(n2,sum(pred(n3),succ(n3))) = esk4_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[21205,22663,theory(equality)]) ).
cnf(22667,plain,
( sum(sum(n0,succ(n3)),sum(pred(n3),n2)) = esk3_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[21204,22663,theory(equality)]) ).
cnf(22668,plain,
( n8 = esk4_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22666,210,theory(equality)]),221,theory(equality)]),176,theory(equality)]),174,theory(equality)]) ).
cnf(22669,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22667,221,theory(equality)]),198,theory(equality)]),210,theory(equality)]),178,theory(equality)]),154,theory(equality)]) ).
cnf(22670,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n8),succ(n8))) = esk6_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,22668,theory(equality)]) ).
cnf(22671,plain,
( sum(sum(pred(esk3_0),succ(n8)),sum(pred(n8),succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,22668,theory(equality)]) ).
cnf(22672,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n5) = esk6_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22670,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(22673,plain,
( sum(sum(pred(esk3_0),n9),sum(n7,succ(esk3_0))) = esk5_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22671,216,theory(equality)]),205,theory(equality)]) ).
cnf(22678,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk6_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22672,22669,theory(equality)]) ).
cnf(22679,plain,
( n10 = esk6_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22678,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(22680,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk5_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22673,22669,theory(equality)]) ).
cnf(22681,plain,
( n10 = esk5_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22680,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(22682,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n10),succ(n10))) = esk8_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,22679,theory(equality)]) ).
cnf(22683,plain,
( sum(sum(pred(esk5_0),succ(n10)),sum(pred(n10),succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,22679,theory(equality)]) ).
cnf(22684,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n9) = esk8_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22682,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(22685,plain,
( sum(sum(pred(esk5_0),n0),sum(n9,succ(esk5_0))) = esk7_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22683,214,theory(equality)]),203,theory(equality)]) ).
cnf(22692,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk8_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22684,22681,theory(equality)]) ).
cnf(22693,plain,
( n7 = esk8_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22692,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22694,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n7),succ(n7))) = esk10_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,22693,theory(equality)]) ).
cnf(22695,plain,
( sum(sum(pred(esk7_0),succ(n7)),sum(pred(n7),succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,22693,theory(equality)]) ).
cnf(22696,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n3) = esk10_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22694,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(22697,plain,
( sum(sum(pred(esk7_0),n8),sum(n6,succ(esk7_0))) = esk9_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22695,217,theory(equality)]),206,theory(equality)]) ).
cnf(22702,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk7_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22685,22681,theory(equality)]) ).
cnf(22703,plain,
( n7 = esk7_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22702,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22706,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk10_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22696,22703,theory(equality)]) ).
cnf(22709,plain,
( n6 = esk10_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22706,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(22710,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n6),succ(n6))) = esk12_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,22709,theory(equality)]) ).
cnf(22711,plain,
( sum(sum(pred(esk9_0),succ(n6)),sum(pred(n6),succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,22709,theory(equality)]) ).
cnf(22712,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n1) = esk12_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22710,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(22713,plain,
( sum(sum(pred(esk9_0),n7),sum(n5,succ(esk9_0))) = esk11_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22711,218,theory(equality)]),207,theory(equality)]) ).
cnf(22718,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk9_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22697,22703,theory(equality)]) ).
cnf(22719,plain,
( n6 = esk9_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22718,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(22722,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk12_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22712,22719,theory(equality)]) ).
cnf(22725,plain,
( n2 = esk12_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22722,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22726,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n2),succ(n2))) = esk14_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,22725,theory(equality)]) ).
cnf(22727,plain,
( sum(sum(pred(esk11_0),succ(n2)),sum(pred(n2),succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,22725,theory(equality)]) ).
cnf(22728,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n4) = esk14_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22726,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(22729,plain,
( sum(sum(pred(esk11_0),n3),sum(n1,succ(esk11_0))) = esk13_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22727,222,theory(equality)]),211,theory(equality)]) ).
cnf(22734,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk11_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22713,22719,theory(equality)]) ).
cnf(22735,plain,
( n2 = esk11_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22734,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22738,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk14_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22728,22735,theory(equality)]) ).
cnf(22741,plain,
( n8 = esk14_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22738,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(22742,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n8),succ(n8))) = esk16_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,22741,theory(equality)]) ).
cnf(22743,plain,
( sum(sum(pred(esk13_0),succ(n8)),sum(pred(n8),succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,22741,theory(equality)]) ).
cnf(22744,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n5) = esk16_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22742,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(22745,plain,
( sum(sum(pred(esk13_0),n9),sum(n7,succ(esk13_0))) = esk15_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22743,216,theory(equality)]),205,theory(equality)]) ).
cnf(22750,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk13_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22729,22735,theory(equality)]) ).
cnf(22751,plain,
( n8 = esk13_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22750,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(22754,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk16_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22744,22751,theory(equality)]) ).
cnf(22757,plain,
( n10 = esk16_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22754,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(22758,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n10),succ(n10))) = esk18_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,22757,theory(equality)]) ).
cnf(22759,plain,
( sum(sum(pred(esk15_0),succ(n10)),sum(pred(n10),succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,22757,theory(equality)]) ).
cnf(22760,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n9) = esk18_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22758,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(22761,plain,
( sum(sum(pred(esk15_0),n0),sum(n9,succ(esk15_0))) = esk17_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22759,214,theory(equality)]),203,theory(equality)]) ).
cnf(22766,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk15_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22745,22751,theory(equality)]) ).
cnf(22767,plain,
( n10 = esk15_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22766,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(22772,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk18_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22760,22767,theory(equality)]) ).
cnf(22775,plain,
( n7 = esk18_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22772,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22776,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n7),succ(n7))) = esk20_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,22775,theory(equality)]) ).
cnf(22777,plain,
( sum(sum(pred(esk17_0),succ(n7)),sum(pred(n7),succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,22775,theory(equality)]) ).
cnf(22778,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n3) = esk20_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22776,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(22779,plain,
( sum(sum(pred(esk17_0),n8),sum(n6,succ(esk17_0))) = esk19_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22777,217,theory(equality)]),206,theory(equality)]) ).
cnf(22782,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk17_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22761,22767,theory(equality)]) ).
cnf(22783,plain,
( n7 = esk17_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22782,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22786,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk20_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22778,22783,theory(equality)]) ).
cnf(22789,plain,
( n6 = esk20_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22786,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(22792,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n6),succ(n6))) = esk22_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,22789,theory(equality)]) ).
cnf(22793,plain,
( sum(sum(pred(esk19_0),succ(n6)),sum(pred(n6),succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,22789,theory(equality)]) ).
cnf(22794,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n1) = esk22_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22792,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(22795,plain,
( sum(sum(pred(esk19_0),n7),sum(n5,succ(esk19_0))) = esk21_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22793,218,theory(equality)]),207,theory(equality)]) ).
cnf(22798,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk19_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22779,22783,theory(equality)]) ).
cnf(22799,plain,
( n6 = esk19_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22798,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(22802,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk22_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22794,22799,theory(equality)]) ).
cnf(22805,plain,
( n2 = esk22_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22802,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22810,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk21_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[22795,22799,theory(equality)]) ).
cnf(22811,plain,
( n2 = esk21_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22810,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22812,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n2 != esk22_0 ),
inference(spm,[status(thm)],[59,22811,theory(equality)]) ).
cnf(22813,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[22812,22805]) ).
cnf(22814,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n6 != esk20_0 ),
inference(spm,[status(thm)],[22813,22799,theory(equality)]) ).
cnf(22815,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[22814,22789]) ).
cnf(22816,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n7 != esk18_0 ),
inference(spm,[status(thm)],[22815,22783,theory(equality)]) ).
cnf(22819,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[22816,22775]) ).
cnf(22820,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n10 != esk16_0 ),
inference(spm,[status(thm)],[22819,22767,theory(equality)]) ).
cnf(22821,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[22820,22757]) ).
cnf(22822,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n8 != esk14_0 ),
inference(spm,[status(thm)],[22821,22751,theory(equality)]) ).
cnf(22823,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[22822,22741]) ).
cnf(22824,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n2 != esk12_0 ),
inference(spm,[status(thm)],[22823,22735,theory(equality)]) ).
cnf(22825,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[22824,22725]) ).
cnf(22826,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n6 != esk10_0 ),
inference(spm,[status(thm)],[22825,22719,theory(equality)]) ).
cnf(22827,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[22826,22709]) ).
cnf(22828,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n7 != esk8_0 ),
inference(spm,[status(thm)],[22827,22703,theory(equality)]) ).
cnf(22829,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[22828,22693]) ).
cnf(22830,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0
| n10 != esk6_0 ),
inference(spm,[status(thm)],[22829,22681,theory(equality)]) ).
cnf(22831,plain,
( esk2_0 = n2
| esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[22830,22679]) ).
cnf(22832,plain,
( esk2_0 = n1
| esk2_0 = n2
| n8 != esk4_0 ),
inference(spm,[status(thm)],[22831,22669,theory(equality)]) ).
cnf(22833,plain,
( esk2_0 = n1
| esk2_0 = n2 ),
inference(csr,[status(thm)],[22832,22668]) ).
cnf(22835,plain,
( sum(n2,sum(pred(n2),succ(n2))) = esk4_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21205,22833,theory(equality)]) ).
cnf(22836,plain,
( sum(sum(n0,succ(n2)),sum(pred(n2),n2)) = esk3_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[21204,22833,theory(equality)]) ).
cnf(22837,plain,
( n6 = esk4_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22835,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),176,theory(equality)]) ).
cnf(22838,plain,
( n6 = esk3_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22836,222,theory(equality)]),199,theory(equality)]),211,theory(equality)]),189,theory(equality)]),166,theory(equality)]) ).
cnf(22839,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),sum(pred(n6),succ(n6))) = esk6_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[76,22837,theory(equality)]) ).
cnf(22840,plain,
( sum(sum(pred(esk3_0),succ(n6)),sum(pred(n6),succ(esk3_0))) = esk5_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[77,22837,theory(equality)]) ).
cnf(22841,plain,
( sum(sum(pred(esk3_0),succ(esk3_0)),n1) = esk6_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22839,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(22842,plain,
( sum(sum(pred(esk3_0),n7),sum(n5,succ(esk3_0))) = esk5_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22840,218,theory(equality)]),207,theory(equality)]) ).
cnf(22847,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk6_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22841,22838,theory(equality)]) ).
cnf(22848,plain,
( n2 = esk6_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22847,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22849,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),sum(pred(n2),succ(n2))) = esk8_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[74,22848,theory(equality)]) ).
cnf(22850,plain,
( sum(sum(pred(esk5_0),succ(n2)),sum(pred(n2),succ(esk5_0))) = esk7_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[75,22848,theory(equality)]) ).
cnf(22851,plain,
( sum(sum(pred(esk5_0),succ(esk5_0)),n4) = esk8_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22849,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(22852,plain,
( sum(sum(pred(esk5_0),n3),sum(n1,succ(esk5_0))) = esk7_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22850,222,theory(equality)]),211,theory(equality)]) ).
cnf(22855,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk5_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22842,22838,theory(equality)]) ).
cnf(22856,plain,
( n2 = esk5_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22855,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22861,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk8_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22851,22856,theory(equality)]) ).
cnf(22864,plain,
( n8 = esk8_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22861,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(22865,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),sum(pred(n8),succ(n8))) = esk10_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[72,22864,theory(equality)]) ).
cnf(22866,plain,
( sum(sum(pred(esk7_0),succ(n8)),sum(pred(n8),succ(esk7_0))) = esk9_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[73,22864,theory(equality)]) ).
cnf(22867,plain,
( sum(sum(pred(esk7_0),succ(esk7_0)),n5) = esk10_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22865,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(22868,plain,
( sum(sum(pred(esk7_0),n9),sum(n7,succ(esk7_0))) = esk9_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22866,216,theory(equality)]),205,theory(equality)]) ).
cnf(22871,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk7_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22852,22856,theory(equality)]) ).
cnf(22872,plain,
( n8 = esk7_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22871,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(22875,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk10_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22867,22872,theory(equality)]) ).
cnf(22878,plain,
( n10 = esk10_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22875,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(22881,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),sum(pred(n10),succ(n10))) = esk12_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,22878,theory(equality)]) ).
cnf(22882,plain,
( sum(sum(pred(esk9_0),succ(n10)),sum(pred(n10),succ(esk9_0))) = esk11_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[71,22878,theory(equality)]) ).
cnf(22883,plain,
( sum(sum(pred(esk9_0),succ(esk9_0)),n9) = esk12_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22881,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(22884,plain,
( sum(sum(pred(esk9_0),n0),sum(n9,succ(esk9_0))) = esk11_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22882,214,theory(equality)]),203,theory(equality)]) ).
cnf(22887,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk9_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22868,22872,theory(equality)]) ).
cnf(22888,plain,
( n10 = esk9_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22887,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(22891,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk12_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22883,22888,theory(equality)]) ).
cnf(22894,plain,
( n7 = esk12_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22891,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22895,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),sum(pred(n7),succ(n7))) = esk14_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[68,22894,theory(equality)]) ).
cnf(22896,plain,
( sum(sum(pred(esk11_0),succ(n7)),sum(pred(n7),succ(esk11_0))) = esk13_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[69,22894,theory(equality)]) ).
cnf(22897,plain,
( sum(sum(pred(esk11_0),succ(esk11_0)),n3) = esk14_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22895,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]) ).
cnf(22898,plain,
( sum(sum(pred(esk11_0),n8),sum(n6,succ(esk11_0))) = esk13_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22896,217,theory(equality)]),206,theory(equality)]) ).
cnf(22903,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk11_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22884,22888,theory(equality)]) ).
cnf(22904,plain,
( n7 = esk11_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22903,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22907,plain,
( sum(sum(pred(n7),succ(n7)),n3) = esk14_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22897,22904,theory(equality)]) ).
cnf(22910,plain,
( n6 = esk14_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22907,206,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(22911,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),sum(pred(n6),succ(n6))) = esk16_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[66,22910,theory(equality)]) ).
cnf(22912,plain,
( sum(sum(pred(esk13_0),succ(n6)),sum(pred(n6),succ(esk13_0))) = esk15_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[67,22910,theory(equality)]) ).
cnf(22913,plain,
( sum(sum(pred(esk13_0),succ(esk13_0)),n1) = esk16_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22911,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]) ).
cnf(22914,plain,
( sum(sum(pred(esk13_0),n7),sum(n5,succ(esk13_0))) = esk15_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22912,218,theory(equality)]),207,theory(equality)]) ).
cnf(22919,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = esk13_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22898,22904,theory(equality)]) ).
cnf(22920,plain,
( n6 = esk13_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22919,206,theory(equality)]),128,theory(equality)]),217,theory(equality)]),128,theory(equality)]),166,theory(equality)]) ).
cnf(22923,plain,
( sum(sum(pred(n6),succ(n6)),n1) = esk16_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22913,22920,theory(equality)]) ).
cnf(22926,plain,
( n2 = esk16_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22923,207,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22927,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),sum(pred(n2),succ(n2))) = esk18_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[64,22926,theory(equality)]) ).
cnf(22928,plain,
( sum(sum(pred(esk15_0),succ(n2)),sum(pred(n2),succ(esk15_0))) = esk17_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[65,22926,theory(equality)]) ).
cnf(22929,plain,
( sum(sum(pred(esk15_0),succ(esk15_0)),n4) = esk18_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22927,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]) ).
cnf(22930,plain,
( sum(sum(pred(esk15_0),n3),sum(n1,succ(esk15_0))) = esk17_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22928,222,theory(equality)]),211,theory(equality)]) ).
cnf(22935,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(n6))) = esk15_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22914,22920,theory(equality)]) ).
cnf(22936,plain,
( n2 = esk15_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22935,207,theory(equality)]),140,theory(equality)]),218,theory(equality)]),140,theory(equality)]),190,theory(equality)]) ).
cnf(22939,plain,
( sum(sum(pred(n2),succ(n2)),n4) = esk18_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22929,22936,theory(equality)]) ).
cnf(22942,plain,
( n8 = esk18_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22939,211,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(22943,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),sum(pred(n8),succ(n8))) = esk20_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[62,22942,theory(equality)]) ).
cnf(22944,plain,
( sum(sum(pred(esk17_0),succ(n8)),sum(pred(n8),succ(esk17_0))) = esk19_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[63,22942,theory(equality)]) ).
cnf(22945,plain,
( sum(sum(pred(esk17_0),succ(esk17_0)),n5) = esk20_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22943,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]) ).
cnf(22946,plain,
( sum(sum(pred(esk17_0),n9),sum(n7,succ(esk17_0))) = esk19_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22944,216,theory(equality)]),205,theory(equality)]) ).
cnf(22951,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = esk17_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22930,22936,theory(equality)]) ).
cnf(22952,plain,
( n8 = esk17_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22951,211,theory(equality)]),188,theory(equality)]),222,theory(equality)]),188,theory(equality)]),154,theory(equality)]) ).
cnf(22955,plain,
( sum(sum(pred(n8),succ(n8)),n5) = esk20_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22945,22952,theory(equality)]) ).
cnf(22958,plain,
( n10 = esk20_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22955,205,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(22959,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),sum(pred(n10),succ(n10))) = esk22_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[60,22958,theory(equality)]) ).
cnf(22960,plain,
( sum(sum(pred(esk19_0),succ(n10)),sum(pred(n10),succ(esk19_0))) = esk21_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[61,22958,theory(equality)]) ).
cnf(22961,plain,
( sum(sum(pred(esk19_0),succ(esk19_0)),n9) = esk22_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22959,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]) ).
cnf(22962,plain,
( sum(sum(pred(esk19_0),n0),sum(n9,succ(esk19_0))) = esk21_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22960,214,theory(equality)]),203,theory(equality)]) ).
cnf(22967,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) = esk19_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22946,22952,theory(equality)]) ).
cnf(22968,plain,
( n10 = esk19_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22967,205,theory(equality)]),116,theory(equality)]),216,theory(equality)]),116,theory(equality)]),142,theory(equality)]) ).
cnf(22971,plain,
( sum(sum(pred(n10),succ(n10)),n9) = esk22_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22961,22968,theory(equality)]) ).
cnf(22974,plain,
( n7 = esk22_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22971,203,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22979,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = esk21_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[22962,22968,theory(equality)]) ).
cnf(22980,plain,
( n7 = esk21_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22979,203,theory(equality)]),103,theory(equality)]),214,theory(equality)]),103,theory(equality)]),94,theory(equality)]) ).
cnf(22983,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| n7 != esk22_0 ),
inference(spm,[status(thm)],[59,22980,theory(equality)]) ).
cnf(22984,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0 ),
inference(csr,[status(thm)],[22983,22974]) ).
cnf(22985,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| n10 != esk20_0 ),
inference(spm,[status(thm)],[22984,22968,theory(equality)]) ).
cnf(22986,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0 ),
inference(csr,[status(thm)],[22985,22958]) ).
cnf(22987,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| n8 != esk18_0 ),
inference(spm,[status(thm)],[22986,22952,theory(equality)]) ).
cnf(22988,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0 ),
inference(csr,[status(thm)],[22987,22942]) ).
cnf(22989,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| n2 != esk16_0 ),
inference(spm,[status(thm)],[22988,22936,theory(equality)]) ).
cnf(22990,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0 ),
inference(csr,[status(thm)],[22989,22926]) ).
cnf(22991,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| n6 != esk14_0 ),
inference(spm,[status(thm)],[22990,22920,theory(equality)]) ).
cnf(22992,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0 ),
inference(csr,[status(thm)],[22991,22910]) ).
cnf(22993,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| n7 != esk12_0 ),
inference(spm,[status(thm)],[22992,22904,theory(equality)]) ).
cnf(22994,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0 ),
inference(csr,[status(thm)],[22993,22894]) ).
cnf(22995,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| n10 != esk10_0 ),
inference(spm,[status(thm)],[22994,22888,theory(equality)]) ).
cnf(22996,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0 ),
inference(csr,[status(thm)],[22995,22878]) ).
cnf(22997,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0
| n8 != esk8_0 ),
inference(spm,[status(thm)],[22996,22872,theory(equality)]) ).
cnf(22998,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| esk5_0 != esk6_0 ),
inference(csr,[status(thm)],[22997,22864]) ).
cnf(22999,plain,
( esk2_0 = n1
| esk3_0 != esk4_0
| n2 != esk6_0 ),
inference(spm,[status(thm)],[22998,22856,theory(equality)]) ).
cnf(23000,plain,
( esk2_0 = n1
| esk3_0 != esk4_0 ),
inference(csr,[status(thm)],[22999,22848]) ).
cnf(23001,plain,
( esk2_0 = n1
| n6 != esk4_0 ),
inference(spm,[status(thm)],[23000,22838,theory(equality)]) ).
cnf(23002,plain,
esk2_0 = n1,
inference(csr,[status(thm)],[23001,22837]) ).
cnf(23003,plain,
sum(n2,n2) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21204,23002,theory(equality)]),223,theory(equality)]),200,theory(equality)]),23002,theory(equality)]),212,theory(equality)]),200,theory(equality)]) ).
cnf(23004,plain,
n4 = esk3_0,
inference(rw,[status(thm)],[23003,178,theory(equality)]) ).
cnf(23005,plain,
sum(n2,n2) = esk4_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21205,23002,theory(equality)]),212,theory(equality)]),23002,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(23006,plain,
n4 = esk4_0,
inference(rw,[status(thm)],[23005,178,theory(equality)]) ).
cnf(23066,plain,
sum(sum(n3,succ(esk4_0)),sum(pred(esk4_0),n5)) = esk5_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[77,23004,theory(equality)]),209,theory(equality)]),23004,theory(equality)]),220,theory(equality)]) ).
cnf(23067,plain,
sum(n8,sum(pred(esk4_0),succ(esk4_0))) = esk6_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[76,23004,theory(equality)]),209,theory(equality)]),23004,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(23068,plain,
( n4 != esk4_0
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[59,23004,theory(equality)]) ).
cnf(23069,plain,
n5 = esk6_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23067,23006,theory(equality)]),209,theory(equality)]),23006,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(23070,plain,
sum(sum(pred(esk5_0),n6),sum(n4,succ(esk5_0))) = esk7_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[75,23069,theory(equality)]),219,theory(equality)]),23069,theory(equality)]),208,theory(equality)]) ).
cnf(23071,plain,
sum(sum(pred(esk5_0),succ(esk5_0)),n10) = esk8_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[74,23069,theory(equality)]),208,theory(equality)]),23069,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(23072,plain,
n5 = esk5_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23066,23006,theory(equality)]),220,theory(equality)]),164,theory(equality)]),23006,theory(equality)]),209,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(23073,plain,
sum(n10,n10) = esk8_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23071,23072,theory(equality)]),208,theory(equality)]),23072,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(23074,plain,
n9 = esk8_0,
inference(rw,[status(thm)],[23073,82,theory(equality)]) ).
cnf(23075,plain,
( $false
| esk5_0 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23068,23006,theory(equality)]) ).
cnf(23076,plain,
( $false
| n5 != esk6_0
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23075,23072,theory(equality)]) ).
cnf(23077,plain,
( $false
| $false
| esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23076,23069,theory(equality)]) ).
cnf(23078,plain,
( esk7_0 != esk8_0
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(cn,[status(thm)],[23077,theory(equality)]) ).
cnf(23079,plain,
sum(sum(pred(esk7_0),n10),sum(n8,succ(esk7_0))) = esk9_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[73,23074,theory(equality)]),215,theory(equality)]),23074,theory(equality)]),204,theory(equality)]) ).
cnf(23080,plain,
sum(sum(pred(esk7_0),succ(esk7_0)),n7) = esk10_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[72,23074,theory(equality)]),204,theory(equality)]),23074,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(23081,plain,
( esk7_0 != n9
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23078,23074,theory(equality)]) ).
cnf(23082,plain,
n9 = esk7_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23070,23072,theory(equality)]),208,theory(equality)]),152,theory(equality)]),23072,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(23083,plain,
sum(n7,n7) = esk10_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23080,23082,theory(equality)]),204,theory(equality)]),23082,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(23084,plain,
n3 = esk10_0,
inference(rw,[status(thm)],[23083,118,theory(equality)]) ).
cnf(23085,plain,
( $false
| esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23081,23082,theory(equality)]) ).
cnf(23086,plain,
( esk9_0 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(cn,[status(thm)],[23085,theory(equality)]) ).
cnf(23087,plain,
sum(sum(pred(esk9_0),n4),sum(n2,succ(esk9_0))) = esk11_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[71,23084,theory(equality)]),221,theory(equality)]),23084,theory(equality)]),210,theory(equality)]) ).
cnf(23088,plain,
sum(sum(pred(esk9_0),succ(esk9_0)),n6) = esk12_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[70,23084,theory(equality)]),210,theory(equality)]),23084,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(23089,plain,
n3 = esk9_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23079,23082,theory(equality)]),204,theory(equality)]),104,theory(equality)]),23082,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(23090,plain,
sum(n6,n6) = esk12_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23088,23089,theory(equality)]),210,theory(equality)]),23089,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(23091,plain,
n1 = esk12_0,
inference(rw,[status(thm)],[23090,130,theory(equality)]) ).
cnf(23092,plain,
sum(sum(pred(esk11_0),n2),sum(n0,succ(esk11_0))) = esk13_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[69,23091,theory(equality)]),223,theory(equality)]),23091,theory(equality)]),212,theory(equality)]) ).
cnf(23093,plain,
sum(sum(pred(esk11_0),succ(esk11_0)),n2) = esk14_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[68,23091,theory(equality)]),212,theory(equality)]),23091,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(23094,plain,
( n3 != esk10_0
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23086,23089,theory(equality)]) ).
cnf(23095,plain,
( $false
| esk11_0 != esk12_0
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23094,23084,theory(equality)]) ).
cnf(23096,plain,
( $false
| esk11_0 != n1
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23095,23091,theory(equality)]) ).
cnf(23097,plain,
( esk11_0 != n1
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(cn,[status(thm)],[23096,theory(equality)]) ).
cnf(23098,plain,
n1 = esk11_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23087,23089,theory(equality)]),210,theory(equality)]),176,theory(equality)]),23089,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(23099,plain,
sum(n2,n2) = esk14_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23093,23098,theory(equality)]),212,theory(equality)]),23098,theory(equality)]),223,theory(equality)]),200,theory(equality)]) ).
cnf(23100,plain,
n4 = esk14_0,
inference(rw,[status(thm)],[23099,178,theory(equality)]) ).
cnf(23101,plain,
( $false
| esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23097,23098,theory(equality)]) ).
cnf(23102,plain,
( esk13_0 != esk14_0
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(cn,[status(thm)],[23101,theory(equality)]) ).
cnf(23103,plain,
sum(sum(pred(esk13_0),n5),sum(n3,succ(esk13_0))) = esk15_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[67,23100,theory(equality)]),220,theory(equality)]),23100,theory(equality)]),209,theory(equality)]) ).
cnf(23104,plain,
sum(sum(pred(esk13_0),succ(esk13_0)),n8) = esk16_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[66,23100,theory(equality)]),209,theory(equality)]),23100,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(23105,plain,
( esk13_0 != n4
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23102,23100,theory(equality)]) ).
cnf(23106,plain,
n4 = esk13_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23092,23098,theory(equality)]),212,theory(equality)]),200,theory(equality)]),23098,theory(equality)]),223,theory(equality)]),200,theory(equality)]),178,theory(equality)]) ).
cnf(23107,plain,
sum(n8,n8) = esk16_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23104,23106,theory(equality)]),209,theory(equality)]),23106,theory(equality)]),220,theory(equality)]),164,theory(equality)]) ).
cnf(23108,plain,
n5 = esk16_0,
inference(rw,[status(thm)],[23107,106,theory(equality)]) ).
cnf(23109,plain,
( $false
| esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23105,23106,theory(equality)]) ).
cnf(23110,plain,
( esk15_0 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(cn,[status(thm)],[23109,theory(equality)]) ).
cnf(23111,plain,
sum(sum(pred(esk15_0),n6),sum(n4,succ(esk15_0))) = esk17_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[65,23108,theory(equality)]),219,theory(equality)]),23108,theory(equality)]),208,theory(equality)]) ).
cnf(23112,plain,
sum(sum(pred(esk15_0),succ(esk15_0)),n10) = esk18_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[64,23108,theory(equality)]),208,theory(equality)]),23108,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(23113,plain,
n5 = esk15_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23103,23106,theory(equality)]),209,theory(equality)]),164,theory(equality)]),23106,theory(equality)]),220,theory(equality)]),164,theory(equality)]),106,theory(equality)]) ).
cnf(23114,plain,
sum(n10,n10) = esk18_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23112,23113,theory(equality)]),208,theory(equality)]),23113,theory(equality)]),219,theory(equality)]),152,theory(equality)]) ).
cnf(23115,plain,
n9 = esk18_0,
inference(rw,[status(thm)],[23114,82,theory(equality)]) ).
cnf(23116,plain,
sum(sum(pred(esk17_0),n10),sum(n8,succ(esk17_0))) = esk19_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[63,23115,theory(equality)]),215,theory(equality)]),23115,theory(equality)]),204,theory(equality)]) ).
cnf(23117,plain,
sum(sum(pred(esk17_0),succ(esk17_0)),n7) = esk20_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[62,23115,theory(equality)]),204,theory(equality)]),23115,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(23118,plain,
( n5 != esk16_0
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23110,23113,theory(equality)]) ).
cnf(23119,plain,
( $false
| esk17_0 != esk18_0
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23118,23108,theory(equality)]) ).
cnf(23120,plain,
( $false
| esk17_0 != n9
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23119,23115,theory(equality)]) ).
cnf(23121,plain,
( esk17_0 != n9
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(cn,[status(thm)],[23120,theory(equality)]) ).
cnf(23122,plain,
n9 = esk17_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23111,23113,theory(equality)]),208,theory(equality)]),152,theory(equality)]),23113,theory(equality)]),219,theory(equality)]),152,theory(equality)]),82,theory(equality)]) ).
cnf(23123,plain,
sum(n7,n7) = esk20_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23117,23122,theory(equality)]),204,theory(equality)]),23122,theory(equality)]),215,theory(equality)]),104,theory(equality)]) ).
cnf(23124,plain,
n3 = esk20_0,
inference(rw,[status(thm)],[23123,118,theory(equality)]) ).
cnf(23125,plain,
( $false
| esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23121,23122,theory(equality)]) ).
cnf(23126,plain,
( esk19_0 != esk20_0
| esk21_0 != esk22_0 ),
inference(cn,[status(thm)],[23125,theory(equality)]) ).
cnf(23127,plain,
sum(sum(pred(esk19_0),n4),sum(n2,succ(esk19_0))) = esk21_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[61,23124,theory(equality)]),221,theory(equality)]),23124,theory(equality)]),210,theory(equality)]) ).
cnf(23128,plain,
sum(sum(pred(esk19_0),succ(esk19_0)),n6) = esk22_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[60,23124,theory(equality)]),210,theory(equality)]),23124,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(23129,plain,
n3 = esk19_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23116,23122,theory(equality)]),204,theory(equality)]),104,theory(equality)]),23122,theory(equality)]),215,theory(equality)]),104,theory(equality)]),118,theory(equality)]) ).
cnf(23130,plain,
sum(n6,n6) = esk22_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23128,23129,theory(equality)]),210,theory(equality)]),23129,theory(equality)]),221,theory(equality)]),176,theory(equality)]) ).
cnf(23131,plain,
n1 = esk22_0,
inference(rw,[status(thm)],[23130,130,theory(equality)]) ).
cnf(23132,plain,
( n3 != esk20_0
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23126,23129,theory(equality)]) ).
cnf(23133,plain,
( $false
| esk21_0 != esk22_0 ),
inference(rw,[status(thm)],[23132,23124,theory(equality)]) ).
cnf(23134,plain,
( $false
| esk21_0 != n1 ),
inference(rw,[status(thm)],[23133,23131,theory(equality)]) ).
cnf(23135,plain,
esk21_0 != n1,
inference(cn,[status(thm)],[23134,theory(equality)]) ).
cnf(23136,plain,
n1 = esk21_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[23127,23129,theory(equality)]),210,theory(equality)]),176,theory(equality)]),23129,theory(equality)]),221,theory(equality)]),176,theory(equality)]),130,theory(equality)]) ).
cnf(23137,plain,
$false,
inference(sr,[status(thm)],[23136,23135,theory(equality)]) ).
cnf(23138,plain,
$false,
23137,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM377+1.010 : TPTP v7.0.0. Released v3.2.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n139.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Mon Jan 8 08:11:13 CST 2018
% 0.03/0.24 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 3.18/3.86 -running prover on /export/starexec/sandbox2/tmp/tmpl_ZiDq/sel_theBenchmark.p_1 with time limit 29
% 3.18/3.86 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpl_ZiDq/sel_theBenchmark.p_1']
% 3.18/3.86 -prover status Unsatisfiable
% 3.18/3.86 Problem theBenchmark.p solved in phase 0.
% 3.18/3.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.18/3.86 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.18/3.86 Solved 1 out of 1.
% 3.18/3.86 # Problem is unsatisfiable (or provable), constructing proof object
% 3.18/3.86 # SZS status Unsatisfiable
% 3.18/3.86 # SZS output start CNFRefutation.
% See solution above
% 3.67/3.92 # SZS output end CNFRefutation
%------------------------------------------------------------------------------