TSTP Solution File: NUM376+1.015 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM376+1.015 : TPTP v7.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n118.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 15:02:18 EST 2018
% Result : Unsatisfiable 0.34s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : None (Could not find formula named ty))
% Syntax : Number of formulae : 1367
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
? [X1,X2] :
( 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),n11)
& equal(succ(n11),n12)
& equal(succ(n12),n13)
& equal(succ(n13),n14)
& equal(succ(n14),n15)
& equal(succ(n15),n0)
& equal(pred(n0),n15)
& 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(pred(n11),n10)
& equal(pred(n12),n11)
& equal(pred(n13),n12)
& equal(pred(n14),n13)
& equal(pred(n15),n14)
& 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(n0,n11),n11)
& equal(sum(n0,n12),n12)
& equal(sum(n0,n13),n13)
& equal(sum(n0,n14),n14)
& equal(sum(n0,n15),n15)
& 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),n11)
& equal(sum(n1,n11),n12)
& equal(sum(n1,n12),n13)
& equal(sum(n1,n13),n14)
& equal(sum(n1,n14),n15)
& equal(sum(n1,n15),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),n11)
& equal(sum(n2,n10),n12)
& equal(sum(n2,n11),n13)
& equal(sum(n2,n12),n14)
& equal(sum(n2,n13),n15)
& equal(sum(n2,n14),n0)
& equal(sum(n2,n15),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),n11)
& equal(sum(n3,n9),n12)
& equal(sum(n3,n10),n13)
& equal(sum(n3,n11),n14)
& equal(sum(n3,n12),n15)
& equal(sum(n3,n13),n0)
& equal(sum(n3,n14),n1)
& equal(sum(n3,n15),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),n11)
& equal(sum(n4,n8),n12)
& equal(sum(n4,n9),n13)
& equal(sum(n4,n10),n14)
& equal(sum(n4,n11),n15)
& equal(sum(n4,n12),n0)
& equal(sum(n4,n13),n1)
& equal(sum(n4,n14),n2)
& equal(sum(n4,n15),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),n11)
& equal(sum(n5,n7),n12)
& equal(sum(n5,n8),n13)
& equal(sum(n5,n9),n14)
& equal(sum(n5,n10),n15)
& equal(sum(n5,n11),n0)
& equal(sum(n5,n12),n1)
& equal(sum(n5,n13),n2)
& equal(sum(n5,n14),n3)
& equal(sum(n5,n15),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),n11)
& equal(sum(n6,n6),n12)
& equal(sum(n6,n7),n13)
& equal(sum(n6,n8),n14)
& equal(sum(n6,n9),n15)
& equal(sum(n6,n10),n0)
& equal(sum(n6,n11),n1)
& equal(sum(n6,n12),n2)
& equal(sum(n6,n13),n3)
& equal(sum(n6,n14),n4)
& equal(sum(n6,n15),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),n11)
& equal(sum(n7,n5),n12)
& equal(sum(n7,n6),n13)
& equal(sum(n7,n7),n14)
& equal(sum(n7,n8),n15)
& equal(sum(n7,n9),n0)
& equal(sum(n7,n10),n1)
& equal(sum(n7,n11),n2)
& equal(sum(n7,n12),n3)
& equal(sum(n7,n13),n4)
& equal(sum(n7,n14),n5)
& equal(sum(n7,n15),n6)
& equal(sum(n8,n0),n8)
& equal(sum(n8,n1),n9)
& equal(sum(n8,n2),n10)
& equal(sum(n8,n3),n11)
& equal(sum(n8,n4),n12)
& equal(sum(n8,n5),n13)
& equal(sum(n8,n6),n14)
& equal(sum(n8,n7),n15)
& equal(sum(n8,n8),n0)
& equal(sum(n8,n9),n1)
& equal(sum(n8,n10),n2)
& equal(sum(n8,n11),n3)
& equal(sum(n8,n12),n4)
& equal(sum(n8,n13),n5)
& equal(sum(n8,n14),n6)
& equal(sum(n8,n15),n7)
& equal(sum(n9,n0),n9)
& equal(sum(n9,n1),n10)
& equal(sum(n9,n2),n11)
& equal(sum(n9,n3),n12)
& equal(sum(n9,n4),n13)
& equal(sum(n9,n5),n14)
& equal(sum(n9,n6),n15)
& equal(sum(n9,n7),n0)
& equal(sum(n9,n8),n1)
& equal(sum(n9,n9),n2)
& equal(sum(n9,n10),n3)
& equal(sum(n9,n11),n4)
& equal(sum(n9,n12),n5)
& equal(sum(n9,n13),n6)
& equal(sum(n9,n14),n7)
& equal(sum(n9,n15),n8)
& equal(sum(n10,n0),n10)
& equal(sum(n10,n1),n11)
& equal(sum(n10,n2),n12)
& equal(sum(n10,n3),n13)
& equal(sum(n10,n4),n14)
& equal(sum(n10,n5),n15)
& equal(sum(n10,n6),n0)
& equal(sum(n10,n7),n1)
& equal(sum(n10,n8),n2)
& equal(sum(n10,n9),n3)
& equal(sum(n10,n10),n4)
& equal(sum(n10,n11),n5)
& equal(sum(n10,n12),n6)
& equal(sum(n10,n13),n7)
& equal(sum(n10,n14),n8)
& equal(sum(n10,n15),n9)
& equal(sum(n11,n0),n11)
& equal(sum(n11,n1),n12)
& equal(sum(n11,n2),n13)
& equal(sum(n11,n3),n14)
& equal(sum(n11,n4),n15)
& equal(sum(n11,n5),n0)
& equal(sum(n11,n6),n1)
& equal(sum(n11,n7),n2)
& equal(sum(n11,n8),n3)
& equal(sum(n11,n9),n4)
& equal(sum(n11,n10),n5)
& equal(sum(n11,n11),n6)
& equal(sum(n11,n12),n7)
& equal(sum(n11,n13),n8)
& equal(sum(n11,n14),n9)
& equal(sum(n11,n15),n10)
& equal(sum(n12,n0),n12)
& equal(sum(n12,n1),n13)
& equal(sum(n12,n2),n14)
& equal(sum(n12,n3),n15)
& equal(sum(n12,n4),n0)
& equal(sum(n12,n5),n1)
& equal(sum(n12,n6),n2)
& equal(sum(n12,n7),n3)
& equal(sum(n12,n8),n4)
& equal(sum(n12,n9),n5)
& equal(sum(n12,n10),n6)
& equal(sum(n12,n11),n7)
& equal(sum(n12,n12),n8)
& equal(sum(n12,n13),n9)
& equal(sum(n12,n14),n10)
& equal(sum(n12,n15),n11)
& equal(sum(n13,n0),n13)
& equal(sum(n13,n1),n14)
& equal(sum(n13,n2),n15)
& equal(sum(n13,n3),n0)
& equal(sum(n13,n4),n1)
& equal(sum(n13,n5),n2)
& equal(sum(n13,n6),n3)
& equal(sum(n13,n7),n4)
& equal(sum(n13,n8),n5)
& equal(sum(n13,n9),n6)
& equal(sum(n13,n10),n7)
& equal(sum(n13,n11),n8)
& equal(sum(n13,n12),n9)
& equal(sum(n13,n13),n10)
& equal(sum(n13,n14),n11)
& equal(sum(n13,n15),n12)
& equal(sum(n14,n0),n14)
& equal(sum(n14,n1),n15)
& equal(sum(n14,n2),n0)
& equal(sum(n14,n3),n1)
& equal(sum(n14,n4),n2)
& equal(sum(n14,n5),n3)
& equal(sum(n14,n6),n4)
& equal(sum(n14,n7),n5)
& equal(sum(n14,n8),n6)
& equal(sum(n14,n9),n7)
& equal(sum(n14,n10),n8)
& equal(sum(n14,n11),n9)
& equal(sum(n14,n12),n10)
& equal(sum(n14,n13),n11)
& equal(sum(n14,n14),n12)
& equal(sum(n14,n15),n13)
& equal(sum(n15,n0),n15)
& equal(sum(n15,n1),n0)
& equal(sum(n15,n2),n1)
& equal(sum(n15,n3),n2)
& equal(sum(n15,n4),n3)
& equal(sum(n15,n5),n4)
& equal(sum(n15,n6),n5)
& equal(sum(n15,n7),n6)
& equal(sum(n15,n8),n7)
& equal(sum(n15,n9),n8)
& equal(sum(n15,n10),n9)
& equal(sum(n15,n11),n10)
& equal(sum(n15,n12),n11)
& equal(sum(n15,n13),n12)
& equal(sum(n15,n14),n13)
& equal(sum(n15,n15),n14)
& ( 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(X1,n11)
| equal(X1,n12)
| equal(X1,n13)
| equal(X1,n14)
| equal(X1,n15) )
& ( 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(X2,n11)
| equal(X2,n12)
| equal(X2,n13)
| equal(X2,n14)
| equal(X2,n15) )
& ~ equal(sum(sum(pred(X1),succ(X2)),sum(pred(X2),succ(X1))),sum(sum(pred(X1),succ(X1)),sum(pred(X2),succ(X2))))
& ~ 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(n0,n11)
& ~ equal(n0,n12)
& ~ equal(n0,n13)
& ~ equal(n0,n14)
& ~ equal(n0,n15)
& ~ 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(n1,n11)
& ~ equal(n1,n12)
& ~ equal(n1,n13)
& ~ equal(n1,n14)
& ~ equal(n1,n15)
& ~ 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(n2,n11)
& ~ equal(n2,n12)
& ~ equal(n2,n13)
& ~ equal(n2,n14)
& ~ equal(n2,n15)
& ~ equal(n3,n4)
& ~ equal(n3,n5)
& ~ equal(n3,n6)
& ~ equal(n3,n7)
& ~ equal(n3,n8)
& ~ equal(n3,n9)
& ~ equal(n3,n10)
& ~ equal(n3,n11)
& ~ equal(n3,n12)
& ~ equal(n3,n13)
& ~ equal(n3,n14)
& ~ equal(n3,n15)
& ~ equal(n4,n5)
& ~ equal(n4,n6)
& ~ equal(n4,n7)
& ~ equal(n4,n8)
& ~ equal(n4,n9)
& ~ equal(n4,n10)
& ~ equal(n4,n11)
& ~ equal(n4,n12)
& ~ equal(n4,n13)
& ~ equal(n4,n14)
& ~ equal(n4,n15)
& ~ equal(n5,n6)
& ~ equal(n5,n7)
& ~ equal(n5,n8)
& ~ equal(n5,n9)
& ~ equal(n5,n10)
& ~ equal(n5,n11)
& ~ equal(n5,n12)
& ~ equal(n5,n13)
& ~ equal(n5,n14)
& ~ equal(n5,n15)
& ~ equal(n6,n7)
& ~ equal(n6,n8)
& ~ equal(n6,n9)
& ~ equal(n6,n10)
& ~ equal(n6,n11)
& ~ equal(n6,n12)
& ~ equal(n6,n13)
& ~ equal(n6,n14)
& ~ equal(n6,n15)
& ~ equal(n7,n8)
& ~ equal(n7,n9)
& ~ equal(n7,n10)
& ~ equal(n7,n11)
& ~ equal(n7,n12)
& ~ equal(n7,n13)
& ~ equal(n7,n14)
& ~ equal(n7,n15)
& ~ equal(n8,n9)
& ~ equal(n8,n10)
& ~ equal(n8,n11)
& ~ equal(n8,n12)
& ~ equal(n8,n13)
& ~ equal(n8,n14)
& ~ equal(n8,n15)
& ~ equal(n9,n10)
& ~ equal(n9,n11)
& ~ equal(n9,n12)
& ~ equal(n9,n13)
& ~ equal(n9,n14)
& ~ equal(n9,n15)
& ~ equal(n10,n11)
& ~ equal(n10,n12)
& ~ equal(n10,n13)
& ~ equal(n10,n14)
& ~ equal(n10,n15)
& ~ equal(n11,n12)
& ~ equal(n11,n13)
& ~ equal(n11,n14)
& ~ equal(n11,n15)
& ~ equal(n12,n13)
& ~ equal(n12,n14)
& ~ equal(n12,n15)
& ~ equal(n13,n14)
& ~ equal(n13,n15)
& ~ equal(n14,n15) ),
file('/export/starexec/sandbox/tmp/tmpcrZBLy/sel_theBenchmark.p_1',try_satisfy_this) ).
fof(2,plain,
? [X3,X4] :
( 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),n11)
& equal(succ(n11),n12)
& equal(succ(n12),n13)
& equal(succ(n13),n14)
& equal(succ(n14),n15)
& equal(succ(n15),n0)
& equal(pred(n0),n15)
& 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(pred(n11),n10)
& equal(pred(n12),n11)
& equal(pred(n13),n12)
& equal(pred(n14),n13)
& equal(pred(n15),n14)
& 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(n0,n11),n11)
& equal(sum(n0,n12),n12)
& equal(sum(n0,n13),n13)
& equal(sum(n0,n14),n14)
& equal(sum(n0,n15),n15)
& 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),n11)
& equal(sum(n1,n11),n12)
& equal(sum(n1,n12),n13)
& equal(sum(n1,n13),n14)
& equal(sum(n1,n14),n15)
& equal(sum(n1,n15),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),n11)
& equal(sum(n2,n10),n12)
& equal(sum(n2,n11),n13)
& equal(sum(n2,n12),n14)
& equal(sum(n2,n13),n15)
& equal(sum(n2,n14),n0)
& equal(sum(n2,n15),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),n11)
& equal(sum(n3,n9),n12)
& equal(sum(n3,n10),n13)
& equal(sum(n3,n11),n14)
& equal(sum(n3,n12),n15)
& equal(sum(n3,n13),n0)
& equal(sum(n3,n14),n1)
& equal(sum(n3,n15),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),n11)
& equal(sum(n4,n8),n12)
& equal(sum(n4,n9),n13)
& equal(sum(n4,n10),n14)
& equal(sum(n4,n11),n15)
& equal(sum(n4,n12),n0)
& equal(sum(n4,n13),n1)
& equal(sum(n4,n14),n2)
& equal(sum(n4,n15),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),n11)
& equal(sum(n5,n7),n12)
& equal(sum(n5,n8),n13)
& equal(sum(n5,n9),n14)
& equal(sum(n5,n10),n15)
& equal(sum(n5,n11),n0)
& equal(sum(n5,n12),n1)
& equal(sum(n5,n13),n2)
& equal(sum(n5,n14),n3)
& equal(sum(n5,n15),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),n11)
& equal(sum(n6,n6),n12)
& equal(sum(n6,n7),n13)
& equal(sum(n6,n8),n14)
& equal(sum(n6,n9),n15)
& equal(sum(n6,n10),n0)
& equal(sum(n6,n11),n1)
& equal(sum(n6,n12),n2)
& equal(sum(n6,n13),n3)
& equal(sum(n6,n14),n4)
& equal(sum(n6,n15),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),n11)
& equal(sum(n7,n5),n12)
& equal(sum(n7,n6),n13)
& equal(sum(n7,n7),n14)
& equal(sum(n7,n8),n15)
& equal(sum(n7,n9),n0)
& equal(sum(n7,n10),n1)
& equal(sum(n7,n11),n2)
& equal(sum(n7,n12),n3)
& equal(sum(n7,n13),n4)
& equal(sum(n7,n14),n5)
& equal(sum(n7,n15),n6)
& equal(sum(n8,n0),n8)
& equal(sum(n8,n1),n9)
& equal(sum(n8,n2),n10)
& equal(sum(n8,n3),n11)
& equal(sum(n8,n4),n12)
& equal(sum(n8,n5),n13)
& equal(sum(n8,n6),n14)
& equal(sum(n8,n7),n15)
& equal(sum(n8,n8),n0)
& equal(sum(n8,n9),n1)
& equal(sum(n8,n10),n2)
& equal(sum(n8,n11),n3)
& equal(sum(n8,n12),n4)
& equal(sum(n8,n13),n5)
& equal(sum(n8,n14),n6)
& equal(sum(n8,n15),n7)
& equal(sum(n9,n0),n9)
& equal(sum(n9,n1),n10)
& equal(sum(n9,n2),n11)
& equal(sum(n9,n3),n12)
& equal(sum(n9,n4),n13)
& equal(sum(n9,n5),n14)
& equal(sum(n9,n6),n15)
& equal(sum(n9,n7),n0)
& equal(sum(n9,n8),n1)
& equal(sum(n9,n9),n2)
& equal(sum(n9,n10),n3)
& equal(sum(n9,n11),n4)
& equal(sum(n9,n12),n5)
& equal(sum(n9,n13),n6)
& equal(sum(n9,n14),n7)
& equal(sum(n9,n15),n8)
& equal(sum(n10,n0),n10)
& equal(sum(n10,n1),n11)
& equal(sum(n10,n2),n12)
& equal(sum(n10,n3),n13)
& equal(sum(n10,n4),n14)
& equal(sum(n10,n5),n15)
& equal(sum(n10,n6),n0)
& equal(sum(n10,n7),n1)
& equal(sum(n10,n8),n2)
& equal(sum(n10,n9),n3)
& equal(sum(n10,n10),n4)
& equal(sum(n10,n11),n5)
& equal(sum(n10,n12),n6)
& equal(sum(n10,n13),n7)
& equal(sum(n10,n14),n8)
& equal(sum(n10,n15),n9)
& equal(sum(n11,n0),n11)
& equal(sum(n11,n1),n12)
& equal(sum(n11,n2),n13)
& equal(sum(n11,n3),n14)
& equal(sum(n11,n4),n15)
& equal(sum(n11,n5),n0)
& equal(sum(n11,n6),n1)
& equal(sum(n11,n7),n2)
& equal(sum(n11,n8),n3)
& equal(sum(n11,n9),n4)
& equal(sum(n11,n10),n5)
& equal(sum(n11,n11),n6)
& equal(sum(n11,n12),n7)
& equal(sum(n11,n13),n8)
& equal(sum(n11,n14),n9)
& equal(sum(n11,n15),n10)
& equal(sum(n12,n0),n12)
& equal(sum(n12,n1),n13)
& equal(sum(n12,n2),n14)
& equal(sum(n12,n3),n15)
& equal(sum(n12,n4),n0)
& equal(sum(n12,n5),n1)
& equal(sum(n12,n6),n2)
& equal(sum(n12,n7),n3)
& equal(sum(n12,n8),n4)
& equal(sum(n12,n9),n5)
& equal(sum(n12,n10),n6)
& equal(sum(n12,n11),n7)
& equal(sum(n12,n12),n8)
& equal(sum(n12,n13),n9)
& equal(sum(n12,n14),n10)
& equal(sum(n12,n15),n11)
& equal(sum(n13,n0),n13)
& equal(sum(n13,n1),n14)
& equal(sum(n13,n2),n15)
& equal(sum(n13,n3),n0)
& equal(sum(n13,n4),n1)
& equal(sum(n13,n5),n2)
& equal(sum(n13,n6),n3)
& equal(sum(n13,n7),n4)
& equal(sum(n13,n8),n5)
& equal(sum(n13,n9),n6)
& equal(sum(n13,n10),n7)
& equal(sum(n13,n11),n8)
& equal(sum(n13,n12),n9)
& equal(sum(n13,n13),n10)
& equal(sum(n13,n14),n11)
& equal(sum(n13,n15),n12)
& equal(sum(n14,n0),n14)
& equal(sum(n14,n1),n15)
& equal(sum(n14,n2),n0)
& equal(sum(n14,n3),n1)
& equal(sum(n14,n4),n2)
& equal(sum(n14,n5),n3)
& equal(sum(n14,n6),n4)
& equal(sum(n14,n7),n5)
& equal(sum(n14,n8),n6)
& equal(sum(n14,n9),n7)
& equal(sum(n14,n10),n8)
& equal(sum(n14,n11),n9)
& equal(sum(n14,n12),n10)
& equal(sum(n14,n13),n11)
& equal(sum(n14,n14),n12)
& equal(sum(n14,n15),n13)
& equal(sum(n15,n0),n15)
& equal(sum(n15,n1),n0)
& equal(sum(n15,n2),n1)
& equal(sum(n15,n3),n2)
& equal(sum(n15,n4),n3)
& equal(sum(n15,n5),n4)
& equal(sum(n15,n6),n5)
& equal(sum(n15,n7),n6)
& equal(sum(n15,n8),n7)
& equal(sum(n15,n9),n8)
& equal(sum(n15,n10),n9)
& equal(sum(n15,n11),n10)
& equal(sum(n15,n12),n11)
& equal(sum(n15,n13),n12)
& equal(sum(n15,n14),n13)
& equal(sum(n15,n15),n14)
& ( equal(X3,n0)
| equal(X3,n1)
| equal(X3,n2)
| equal(X3,n3)
| equal(X3,n4)
| equal(X3,n5)
| equal(X3,n6)
| equal(X3,n7)
| equal(X3,n8)
| equal(X3,n9)
| equal(X3,n10)
| equal(X3,n11)
| equal(X3,n12)
| equal(X3,n13)
| equal(X3,n14)
| equal(X3,n15) )
& ( equal(X4,n0)
| equal(X4,n1)
| equal(X4,n2)
| equal(X4,n3)
| equal(X4,n4)
| equal(X4,n5)
| equal(X4,n6)
| equal(X4,n7)
| equal(X4,n8)
| equal(X4,n9)
| equal(X4,n10)
| equal(X4,n11)
| equal(X4,n12)
| equal(X4,n13)
| equal(X4,n14)
| equal(X4,n15) )
& ~ equal(sum(sum(pred(X3),succ(X4)),sum(pred(X4),succ(X3))),sum(sum(pred(X3),succ(X3)),sum(pred(X4),succ(X4))))
& ~ 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(n0,n11)
& ~ equal(n0,n12)
& ~ equal(n0,n13)
& ~ equal(n0,n14)
& ~ equal(n0,n15)
& ~ 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(n1,n11)
& ~ equal(n1,n12)
& ~ equal(n1,n13)
& ~ equal(n1,n14)
& ~ equal(n1,n15)
& ~ 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(n2,n11)
& ~ equal(n2,n12)
& ~ equal(n2,n13)
& ~ equal(n2,n14)
& ~ equal(n2,n15)
& ~ equal(n3,n4)
& ~ equal(n3,n5)
& ~ equal(n3,n6)
& ~ equal(n3,n7)
& ~ equal(n3,n8)
& ~ equal(n3,n9)
& ~ equal(n3,n10)
& ~ equal(n3,n11)
& ~ equal(n3,n12)
& ~ equal(n3,n13)
& ~ equal(n3,n14)
& ~ equal(n3,n15)
& ~ equal(n4,n5)
& ~ equal(n4,n6)
& ~ equal(n4,n7)
& ~ equal(n4,n8)
& ~ equal(n4,n9)
& ~ equal(n4,n10)
& ~ equal(n4,n11)
& ~ equal(n4,n12)
& ~ equal(n4,n13)
& ~ equal(n4,n14)
& ~ equal(n4,n15)
& ~ equal(n5,n6)
& ~ equal(n5,n7)
& ~ equal(n5,n8)
& ~ equal(n5,n9)
& ~ equal(n5,n10)
& ~ equal(n5,n11)
& ~ equal(n5,n12)
& ~ equal(n5,n13)
& ~ equal(n5,n14)
& ~ equal(n5,n15)
& ~ equal(n6,n7)
& ~ equal(n6,n8)
& ~ equal(n6,n9)
& ~ equal(n6,n10)
& ~ equal(n6,n11)
& ~ equal(n6,n12)
& ~ equal(n6,n13)
& ~ equal(n6,n14)
& ~ equal(n6,n15)
& ~ equal(n7,n8)
& ~ equal(n7,n9)
& ~ equal(n7,n10)
& ~ equal(n7,n11)
& ~ equal(n7,n12)
& ~ equal(n7,n13)
& ~ equal(n7,n14)
& ~ equal(n7,n15)
& ~ equal(n8,n9)
& ~ equal(n8,n10)
& ~ equal(n8,n11)
& ~ equal(n8,n12)
& ~ equal(n8,n13)
& ~ equal(n8,n14)
& ~ equal(n8,n15)
& ~ equal(n9,n10)
& ~ equal(n9,n11)
& ~ equal(n9,n12)
& ~ equal(n9,n13)
& ~ equal(n9,n14)
& ~ equal(n9,n15)
& ~ equal(n10,n11)
& ~ equal(n10,n12)
& ~ equal(n10,n13)
& ~ equal(n10,n14)
& ~ equal(n10,n15)
& ~ equal(n11,n12)
& ~ equal(n11,n13)
& ~ equal(n11,n14)
& ~ equal(n11,n15)
& ~ equal(n12,n13)
& ~ equal(n12,n14)
& ~ equal(n12,n15)
& ~ equal(n13,n14)
& ~ equal(n13,n15)
& ~ equal(n14,n15) ),
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),n11)
& equal(succ(n11),n12)
& equal(succ(n12),n13)
& equal(succ(n13),n14)
& equal(succ(n14),n15)
& equal(succ(n15),n0)
& equal(pred(n0),n15)
& 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(pred(n11),n10)
& equal(pred(n12),n11)
& equal(pred(n13),n12)
& equal(pred(n14),n13)
& equal(pred(n15),n14)
& 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(n0,n11),n11)
& equal(sum(n0,n12),n12)
& equal(sum(n0,n13),n13)
& equal(sum(n0,n14),n14)
& equal(sum(n0,n15),n15)
& 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),n11)
& equal(sum(n1,n11),n12)
& equal(sum(n1,n12),n13)
& equal(sum(n1,n13),n14)
& equal(sum(n1,n14),n15)
& equal(sum(n1,n15),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),n11)
& equal(sum(n2,n10),n12)
& equal(sum(n2,n11),n13)
& equal(sum(n2,n12),n14)
& equal(sum(n2,n13),n15)
& equal(sum(n2,n14),n0)
& equal(sum(n2,n15),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),n11)
& equal(sum(n3,n9),n12)
& equal(sum(n3,n10),n13)
& equal(sum(n3,n11),n14)
& equal(sum(n3,n12),n15)
& equal(sum(n3,n13),n0)
& equal(sum(n3,n14),n1)
& equal(sum(n3,n15),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),n11)
& equal(sum(n4,n8),n12)
& equal(sum(n4,n9),n13)
& equal(sum(n4,n10),n14)
& equal(sum(n4,n11),n15)
& equal(sum(n4,n12),n0)
& equal(sum(n4,n13),n1)
& equal(sum(n4,n14),n2)
& equal(sum(n4,n15),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),n11)
& equal(sum(n5,n7),n12)
& equal(sum(n5,n8),n13)
& equal(sum(n5,n9),n14)
& equal(sum(n5,n10),n15)
& equal(sum(n5,n11),n0)
& equal(sum(n5,n12),n1)
& equal(sum(n5,n13),n2)
& equal(sum(n5,n14),n3)
& equal(sum(n5,n15),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),n11)
& equal(sum(n6,n6),n12)
& equal(sum(n6,n7),n13)
& equal(sum(n6,n8),n14)
& equal(sum(n6,n9),n15)
& equal(sum(n6,n10),n0)
& equal(sum(n6,n11),n1)
& equal(sum(n6,n12),n2)
& equal(sum(n6,n13),n3)
& equal(sum(n6,n14),n4)
& equal(sum(n6,n15),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),n11)
& equal(sum(n7,n5),n12)
& equal(sum(n7,n6),n13)
& equal(sum(n7,n7),n14)
& equal(sum(n7,n8),n15)
& equal(sum(n7,n9),n0)
& equal(sum(n7,n10),n1)
& equal(sum(n7,n11),n2)
& equal(sum(n7,n12),n3)
& equal(sum(n7,n13),n4)
& equal(sum(n7,n14),n5)
& equal(sum(n7,n15),n6)
& equal(sum(n8,n0),n8)
& equal(sum(n8,n1),n9)
& equal(sum(n8,n2),n10)
& equal(sum(n8,n3),n11)
& equal(sum(n8,n4),n12)
& equal(sum(n8,n5),n13)
& equal(sum(n8,n6),n14)
& equal(sum(n8,n7),n15)
& equal(sum(n8,n8),n0)
& equal(sum(n8,n9),n1)
& equal(sum(n8,n10),n2)
& equal(sum(n8,n11),n3)
& equal(sum(n8,n12),n4)
& equal(sum(n8,n13),n5)
& equal(sum(n8,n14),n6)
& equal(sum(n8,n15),n7)
& equal(sum(n9,n0),n9)
& equal(sum(n9,n1),n10)
& equal(sum(n9,n2),n11)
& equal(sum(n9,n3),n12)
& equal(sum(n9,n4),n13)
& equal(sum(n9,n5),n14)
& equal(sum(n9,n6),n15)
& equal(sum(n9,n7),n0)
& equal(sum(n9,n8),n1)
& equal(sum(n9,n9),n2)
& equal(sum(n9,n10),n3)
& equal(sum(n9,n11),n4)
& equal(sum(n9,n12),n5)
& equal(sum(n9,n13),n6)
& equal(sum(n9,n14),n7)
& equal(sum(n9,n15),n8)
& equal(sum(n10,n0),n10)
& equal(sum(n10,n1),n11)
& equal(sum(n10,n2),n12)
& equal(sum(n10,n3),n13)
& equal(sum(n10,n4),n14)
& equal(sum(n10,n5),n15)
& equal(sum(n10,n6),n0)
& equal(sum(n10,n7),n1)
& equal(sum(n10,n8),n2)
& equal(sum(n10,n9),n3)
& equal(sum(n10,n10),n4)
& equal(sum(n10,n11),n5)
& equal(sum(n10,n12),n6)
& equal(sum(n10,n13),n7)
& equal(sum(n10,n14),n8)
& equal(sum(n10,n15),n9)
& equal(sum(n11,n0),n11)
& equal(sum(n11,n1),n12)
& equal(sum(n11,n2),n13)
& equal(sum(n11,n3),n14)
& equal(sum(n11,n4),n15)
& equal(sum(n11,n5),n0)
& equal(sum(n11,n6),n1)
& equal(sum(n11,n7),n2)
& equal(sum(n11,n8),n3)
& equal(sum(n11,n9),n4)
& equal(sum(n11,n10),n5)
& equal(sum(n11,n11),n6)
& equal(sum(n11,n12),n7)
& equal(sum(n11,n13),n8)
& equal(sum(n11,n14),n9)
& equal(sum(n11,n15),n10)
& equal(sum(n12,n0),n12)
& equal(sum(n12,n1),n13)
& equal(sum(n12,n2),n14)
& equal(sum(n12,n3),n15)
& equal(sum(n12,n4),n0)
& equal(sum(n12,n5),n1)
& equal(sum(n12,n6),n2)
& equal(sum(n12,n7),n3)
& equal(sum(n12,n8),n4)
& equal(sum(n12,n9),n5)
& equal(sum(n12,n10),n6)
& equal(sum(n12,n11),n7)
& equal(sum(n12,n12),n8)
& equal(sum(n12,n13),n9)
& equal(sum(n12,n14),n10)
& equal(sum(n12,n15),n11)
& equal(sum(n13,n0),n13)
& equal(sum(n13,n1),n14)
& equal(sum(n13,n2),n15)
& equal(sum(n13,n3),n0)
& equal(sum(n13,n4),n1)
& equal(sum(n13,n5),n2)
& equal(sum(n13,n6),n3)
& equal(sum(n13,n7),n4)
& equal(sum(n13,n8),n5)
& equal(sum(n13,n9),n6)
& equal(sum(n13,n10),n7)
& equal(sum(n13,n11),n8)
& equal(sum(n13,n12),n9)
& equal(sum(n13,n13),n10)
& equal(sum(n13,n14),n11)
& equal(sum(n13,n15),n12)
& equal(sum(n14,n0),n14)
& equal(sum(n14,n1),n15)
& equal(sum(n14,n2),n0)
& equal(sum(n14,n3),n1)
& equal(sum(n14,n4),n2)
& equal(sum(n14,n5),n3)
& equal(sum(n14,n6),n4)
& equal(sum(n14,n7),n5)
& equal(sum(n14,n8),n6)
& equal(sum(n14,n9),n7)
& equal(sum(n14,n10),n8)
& equal(sum(n14,n11),n9)
& equal(sum(n14,n12),n10)
& equal(sum(n14,n13),n11)
& equal(sum(n14,n14),n12)
& equal(sum(n14,n15),n13)
& equal(sum(n15,n0),n15)
& equal(sum(n15,n1),n0)
& equal(sum(n15,n2),n1)
& equal(sum(n15,n3),n2)
& equal(sum(n15,n4),n3)
& equal(sum(n15,n5),n4)
& equal(sum(n15,n6),n5)
& equal(sum(n15,n7),n6)
& equal(sum(n15,n8),n7)
& equal(sum(n15,n9),n8)
& equal(sum(n15,n10),n9)
& equal(sum(n15,n11),n10)
& equal(sum(n15,n12),n11)
& equal(sum(n15,n13),n12)
& equal(sum(n15,n14),n13)
& equal(sum(n15,n15),n14)
& ( 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(esk1_0,n11)
| equal(esk1_0,n12)
| equal(esk1_0,n13)
| equal(esk1_0,n14)
| equal(esk1_0,n15) )
& ( 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(esk2_0,n11)
| equal(esk2_0,n12)
| equal(esk2_0,n13)
| equal(esk2_0,n14)
| equal(esk2_0,n15) )
& ~ equal(sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))),sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_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(n0,n11)
& ~ equal(n0,n12)
& ~ equal(n0,n13)
& ~ equal(n0,n14)
& ~ equal(n0,n15)
& ~ 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(n1,n11)
& ~ equal(n1,n12)
& ~ equal(n1,n13)
& ~ equal(n1,n14)
& ~ equal(n1,n15)
& ~ 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(n2,n11)
& ~ equal(n2,n12)
& ~ equal(n2,n13)
& ~ equal(n2,n14)
& ~ equal(n2,n15)
& ~ equal(n3,n4)
& ~ equal(n3,n5)
& ~ equal(n3,n6)
& ~ equal(n3,n7)
& ~ equal(n3,n8)
& ~ equal(n3,n9)
& ~ equal(n3,n10)
& ~ equal(n3,n11)
& ~ equal(n3,n12)
& ~ equal(n3,n13)
& ~ equal(n3,n14)
& ~ equal(n3,n15)
& ~ equal(n4,n5)
& ~ equal(n4,n6)
& ~ equal(n4,n7)
& ~ equal(n4,n8)
& ~ equal(n4,n9)
& ~ equal(n4,n10)
& ~ equal(n4,n11)
& ~ equal(n4,n12)
& ~ equal(n4,n13)
& ~ equal(n4,n14)
& ~ equal(n4,n15)
& ~ equal(n5,n6)
& ~ equal(n5,n7)
& ~ equal(n5,n8)
& ~ equal(n5,n9)
& ~ equal(n5,n10)
& ~ equal(n5,n11)
& ~ equal(n5,n12)
& ~ equal(n5,n13)
& ~ equal(n5,n14)
& ~ equal(n5,n15)
& ~ equal(n6,n7)
& ~ equal(n6,n8)
& ~ equal(n6,n9)
& ~ equal(n6,n10)
& ~ equal(n6,n11)
& ~ equal(n6,n12)
& ~ equal(n6,n13)
& ~ equal(n6,n14)
& ~ equal(n6,n15)
& ~ equal(n7,n8)
& ~ equal(n7,n9)
& ~ equal(n7,n10)
& ~ equal(n7,n11)
& ~ equal(n7,n12)
& ~ equal(n7,n13)
& ~ equal(n7,n14)
& ~ equal(n7,n15)
& ~ equal(n8,n9)
& ~ equal(n8,n10)
& ~ equal(n8,n11)
& ~ equal(n8,n12)
& ~ equal(n8,n13)
& ~ equal(n8,n14)
& ~ equal(n8,n15)
& ~ equal(n9,n10)
& ~ equal(n9,n11)
& ~ equal(n9,n12)
& ~ equal(n9,n13)
& ~ equal(n9,n14)
& ~ equal(n9,n15)
& ~ equal(n10,n11)
& ~ equal(n10,n12)
& ~ equal(n10,n13)
& ~ equal(n10,n14)
& ~ equal(n10,n15)
& ~ equal(n11,n12)
& ~ equal(n11,n13)
& ~ equal(n11,n14)
& ~ equal(n11,n15)
& ~ equal(n12,n13)
& ~ equal(n12,n14)
& ~ equal(n12,n15)
& ~ equal(n13,n14)
& ~ equal(n13,n15)
& ~ equal(n14,n15) ),
inference(skolemize,[status(esa)],[2]) ).
cnf(124,plain,
sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(125,plain,
( esk2_0 = n15
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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(126,plain,
( esk1_0 = n15
| esk1_0 = n14
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| 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(127,plain,
sum(n15,n15) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(128,plain,
sum(n15,n14) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(129,plain,
sum(n15,n13) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(130,plain,
sum(n15,n12) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(131,plain,
sum(n15,n11) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(132,plain,
sum(n15,n10) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(133,plain,
sum(n15,n9) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(134,plain,
sum(n15,n8) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(135,plain,
sum(n15,n7) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(136,plain,
sum(n15,n6) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(137,plain,
sum(n15,n5) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(138,plain,
sum(n15,n4) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(139,plain,
sum(n15,n3) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(140,plain,
sum(n15,n2) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(141,plain,
sum(n15,n1) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(142,plain,
sum(n15,n0) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(143,plain,
sum(n14,n15) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(144,plain,
sum(n14,n14) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(145,plain,
sum(n14,n13) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(146,plain,
sum(n14,n12) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(147,plain,
sum(n14,n11) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(148,plain,
sum(n14,n10) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(149,plain,
sum(n14,n9) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(150,plain,
sum(n14,n8) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(151,plain,
sum(n14,n7) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(152,plain,
sum(n14,n6) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(153,plain,
sum(n14,n5) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(154,plain,
sum(n14,n4) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(155,plain,
sum(n14,n3) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(156,plain,
sum(n14,n2) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(157,plain,
sum(n14,n1) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(158,plain,
sum(n14,n0) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(159,plain,
sum(n13,n15) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(160,plain,
sum(n13,n14) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(161,plain,
sum(n13,n13) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(162,plain,
sum(n13,n12) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(163,plain,
sum(n13,n11) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(164,plain,
sum(n13,n10) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(165,plain,
sum(n13,n9) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(166,plain,
sum(n13,n8) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(167,plain,
sum(n13,n7) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(168,plain,
sum(n13,n6) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(169,plain,
sum(n13,n5) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(170,plain,
sum(n13,n4) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(171,plain,
sum(n13,n3) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(172,plain,
sum(n13,n2) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(173,plain,
sum(n13,n1) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(174,plain,
sum(n13,n0) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(175,plain,
sum(n12,n15) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(176,plain,
sum(n12,n14) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(177,plain,
sum(n12,n13) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(178,plain,
sum(n12,n12) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(179,plain,
sum(n12,n11) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(180,plain,
sum(n12,n10) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(181,plain,
sum(n12,n9) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(182,plain,
sum(n12,n8) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(183,plain,
sum(n12,n7) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(184,plain,
sum(n12,n6) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(185,plain,
sum(n12,n5) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(186,plain,
sum(n12,n4) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(187,plain,
sum(n12,n3) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(188,plain,
sum(n12,n2) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(189,plain,
sum(n12,n1) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(190,plain,
sum(n12,n0) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(191,plain,
sum(n11,n15) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(192,plain,
sum(n11,n14) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(193,plain,
sum(n11,n13) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(194,plain,
sum(n11,n12) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(195,plain,
sum(n11,n11) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(196,plain,
sum(n11,n10) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(197,plain,
sum(n11,n9) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(198,plain,
sum(n11,n8) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(199,plain,
sum(n11,n7) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(200,plain,
sum(n11,n6) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(201,plain,
sum(n11,n5) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(202,plain,
sum(n11,n4) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(203,plain,
sum(n11,n3) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(204,plain,
sum(n11,n2) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(205,plain,
sum(n11,n1) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(206,plain,
sum(n11,n0) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(207,plain,
sum(n10,n15) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(208,plain,
sum(n10,n14) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(209,plain,
sum(n10,n13) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(210,plain,
sum(n10,n12) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(211,plain,
sum(n10,n11) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(212,plain,
sum(n10,n10) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(213,plain,
sum(n10,n9) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(214,plain,
sum(n10,n8) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(215,plain,
sum(n10,n7) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(216,plain,
sum(n10,n6) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(217,plain,
sum(n10,n5) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(218,plain,
sum(n10,n4) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(219,plain,
sum(n10,n3) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(220,plain,
sum(n10,n2) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(221,plain,
sum(n10,n1) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(222,plain,
sum(n10,n0) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(223,plain,
sum(n9,n15) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(224,plain,
sum(n9,n14) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(225,plain,
sum(n9,n13) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(226,plain,
sum(n9,n12) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(227,plain,
sum(n9,n11) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(228,plain,
sum(n9,n10) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(229,plain,
sum(n9,n9) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(230,plain,
sum(n9,n8) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(231,plain,
sum(n9,n7) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(232,plain,
sum(n9,n6) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(233,plain,
sum(n9,n5) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(234,plain,
sum(n9,n4) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(235,plain,
sum(n9,n3) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(236,plain,
sum(n9,n2) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(237,plain,
sum(n9,n1) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(238,plain,
sum(n9,n0) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(239,plain,
sum(n8,n15) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(240,plain,
sum(n8,n14) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(241,plain,
sum(n8,n13) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(242,plain,
sum(n8,n12) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(243,plain,
sum(n8,n11) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(244,plain,
sum(n8,n10) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(245,plain,
sum(n8,n9) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(246,plain,
sum(n8,n8) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(247,plain,
sum(n8,n7) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(248,plain,
sum(n8,n6) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(249,plain,
sum(n8,n5) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(250,plain,
sum(n8,n4) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(251,plain,
sum(n8,n3) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(252,plain,
sum(n8,n2) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(253,plain,
sum(n8,n1) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(254,plain,
sum(n8,n0) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(255,plain,
sum(n7,n15) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(256,plain,
sum(n7,n14) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(257,plain,
sum(n7,n13) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(258,plain,
sum(n7,n12) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(259,plain,
sum(n7,n11) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(260,plain,
sum(n7,n10) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(261,plain,
sum(n7,n9) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(262,plain,
sum(n7,n8) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(263,plain,
sum(n7,n7) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(264,plain,
sum(n7,n6) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(265,plain,
sum(n7,n5) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(266,plain,
sum(n7,n4) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(267,plain,
sum(n7,n3) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(268,plain,
sum(n7,n2) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(269,plain,
sum(n7,n1) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(270,plain,
sum(n7,n0) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(271,plain,
sum(n6,n15) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(272,plain,
sum(n6,n14) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(273,plain,
sum(n6,n13) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(274,plain,
sum(n6,n12) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(275,plain,
sum(n6,n11) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(276,plain,
sum(n6,n10) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(277,plain,
sum(n6,n9) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(278,plain,
sum(n6,n8) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(279,plain,
sum(n6,n7) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(280,plain,
sum(n6,n6) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(281,plain,
sum(n6,n5) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(282,plain,
sum(n6,n4) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(283,plain,
sum(n6,n3) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(284,plain,
sum(n6,n2) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(285,plain,
sum(n6,n1) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(286,plain,
sum(n6,n0) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(287,plain,
sum(n5,n15) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(288,plain,
sum(n5,n14) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(289,plain,
sum(n5,n13) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(290,plain,
sum(n5,n12) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(291,plain,
sum(n5,n11) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(292,plain,
sum(n5,n10) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(293,plain,
sum(n5,n9) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(294,plain,
sum(n5,n8) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(295,plain,
sum(n5,n7) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(296,plain,
sum(n5,n6) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(297,plain,
sum(n5,n5) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(298,plain,
sum(n5,n4) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(299,plain,
sum(n5,n3) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(300,plain,
sum(n5,n2) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(301,plain,
sum(n5,n1) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(302,plain,
sum(n5,n0) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(303,plain,
sum(n4,n15) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(304,plain,
sum(n4,n14) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(305,plain,
sum(n4,n13) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(306,plain,
sum(n4,n12) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(307,plain,
sum(n4,n11) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(308,plain,
sum(n4,n10) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(309,plain,
sum(n4,n9) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(310,plain,
sum(n4,n8) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(311,plain,
sum(n4,n7) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(312,plain,
sum(n4,n6) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(313,plain,
sum(n4,n5) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(314,plain,
sum(n4,n4) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(315,plain,
sum(n4,n3) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(316,plain,
sum(n4,n2) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(317,plain,
sum(n4,n1) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(318,plain,
sum(n4,n0) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(319,plain,
sum(n3,n15) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(320,plain,
sum(n3,n14) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(321,plain,
sum(n3,n13) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(322,plain,
sum(n3,n12) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(323,plain,
sum(n3,n11) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(324,plain,
sum(n3,n10) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(325,plain,
sum(n3,n9) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(326,plain,
sum(n3,n8) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(327,plain,
sum(n3,n7) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(328,plain,
sum(n3,n6) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(329,plain,
sum(n3,n5) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(330,plain,
sum(n3,n4) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(331,plain,
sum(n3,n3) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(332,plain,
sum(n3,n2) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(333,plain,
sum(n3,n1) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(334,plain,
sum(n3,n0) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(335,plain,
sum(n2,n15) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(336,plain,
sum(n2,n14) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(337,plain,
sum(n2,n13) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(338,plain,
sum(n2,n12) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(339,plain,
sum(n2,n11) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(340,plain,
sum(n2,n10) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(341,plain,
sum(n2,n9) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(342,plain,
sum(n2,n8) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(343,plain,
sum(n2,n7) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(344,plain,
sum(n2,n6) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(345,plain,
sum(n2,n5) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(346,plain,
sum(n2,n4) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(347,plain,
sum(n2,n3) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(348,plain,
sum(n2,n2) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(349,plain,
sum(n2,n1) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(350,plain,
sum(n2,n0) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(351,plain,
sum(n1,n15) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(352,plain,
sum(n1,n14) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(353,plain,
sum(n1,n13) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(354,plain,
sum(n1,n12) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(355,plain,
sum(n1,n11) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(356,plain,
sum(n1,n10) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(357,plain,
sum(n1,n9) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(358,plain,
sum(n1,n8) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(359,plain,
sum(n1,n7) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(360,plain,
sum(n1,n6) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(361,plain,
sum(n1,n5) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(362,plain,
sum(n1,n4) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(363,plain,
sum(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(364,plain,
sum(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(365,plain,
sum(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(366,plain,
sum(n1,n0) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(367,plain,
sum(n0,n15) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(368,plain,
sum(n0,n14) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(369,plain,
sum(n0,n13) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(370,plain,
sum(n0,n12) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(371,plain,
sum(n0,n11) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(372,plain,
sum(n0,n10) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(373,plain,
sum(n0,n9) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(374,plain,
sum(n0,n8) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(375,plain,
sum(n0,n7) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(376,plain,
sum(n0,n6) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(377,plain,
sum(n0,n5) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(378,plain,
sum(n0,n4) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(379,plain,
sum(n0,n3) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(380,plain,
sum(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(381,plain,
sum(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(382,plain,
sum(n0,n0) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(383,plain,
pred(n15) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(384,plain,
pred(n14) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(385,plain,
pred(n13) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(386,plain,
pred(n12) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(387,plain,
pred(n11) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(388,plain,
pred(n10) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(389,plain,
pred(n9) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(390,plain,
pred(n8) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(391,plain,
pred(n7) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(392,plain,
pred(n6) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(393,plain,
pred(n5) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(394,plain,
pred(n4) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(395,plain,
pred(n3) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(396,plain,
pred(n2) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(397,plain,
pred(n1) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(398,plain,
pred(n0) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(399,plain,
succ(n15) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(400,plain,
succ(n14) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(401,plain,
succ(n13) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(402,plain,
succ(n12) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(403,plain,
succ(n11) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(404,plain,
succ(n10) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(405,plain,
succ(n9) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(406,plain,
succ(n8) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(407,plain,
succ(n7) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(408,plain,
succ(n6) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(409,plain,
succ(n5) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(410,plain,
succ(n4) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(411,plain,
succ(n3) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(412,plain,
succ(n2) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(413,plain,
succ(n1) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(414,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(430,plain,
( esk1_0 = n15
| esk1_0 = n14
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n0),succ(esk2_0)),sum(pred(esk2_0),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,126,theory(equality)]) ).
cnf(431,plain,
( esk1_0 = n15
| esk1_0 = n14
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n15,succ(esk2_0)),sum(pred(esk2_0),n1)) != sum(sum(pred(n0),succ(n0)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[430,398,theory(equality)]),414,theory(equality)]) ).
cnf(432,plain,
( esk1_0 = n15
| esk1_0 = n14
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n15,succ(esk2_0)),sum(pred(esk2_0),n1)) != sum(n0,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[431,398,theory(equality)]),414,theory(equality)]),141,theory(equality)]) ).
cnf(448,plain,
( esk2_0 = n15
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(pred(esk1_0),succ(n0)),sum(pred(n0),succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(n0),succ(n0))) ),
inference(spm,[status(thm)],[124,125,theory(equality)]) ).
cnf(449,plain,
( esk2_0 = n15
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(pred(esk1_0),n1),sum(n15,succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(n0),succ(n0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[448,414,theory(equality)]),398,theory(equality)]) ).
cnf(450,plain,
( esk2_0 = n15
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(pred(esk1_0),n1),sum(n15,succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[449,398,theory(equality)]),414,theory(equality)]),141,theory(equality)]) ).
cnf(451,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n15
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n15,succ(n0)),sum(pred(n0),n1)) != sum(n0,sum(pred(n0),succ(n0))) ),
inference(spm,[status(thm)],[432,125,theory(equality)]) ).
cnf(452,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n15
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n0,sum(pred(n0),succ(n0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[451,414,theory(equality)]),141,theory(equality)]),398,theory(equality)]),141,theory(equality)]),382,theory(equality)]) ).
cnf(453,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n15
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[452,398,theory(equality)]),414,theory(equality)]),141,theory(equality)]),382,theory(equality)]) ).
cnf(454,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n15
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[453,theory(equality)]) ).
cnf(474,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| sum(sum(n15,succ(n15)),sum(pred(n15),n1)) != sum(n0,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[432,454,theory(equality)]) ).
cnf(477,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| n14 != sum(n0,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[474,399,theory(equality)]),142,theory(equality)]),383,theory(equality)]),157,theory(equality)]),127,theory(equality)]) ).
cnf(478,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[477,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),368,theory(equality)]) ).
cnf(479,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14 ),
inference(cn,[status(thm)],[478,theory(equality)]) ).
cnf(494,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n15,succ(n14)),sum(pred(n14),n1)) != sum(n0,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[432,479,theory(equality)]) ).
cnf(497,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n0,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[494,400,theory(equality)]),127,theory(equality)]),384,theory(equality)]),173,theory(equality)]),144,theory(equality)]) ).
cnf(498,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[497,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),370,theory(equality)]) ).
cnf(499,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[498,theory(equality)]) ).
cnf(513,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| sum(sum(n15,succ(n13)),sum(pred(n13),n1)) != sum(n0,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[432,499,theory(equality)]) ).
cnf(516,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| n10 != sum(n0,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[513,401,theory(equality)]),128,theory(equality)]),385,theory(equality)]),189,theory(equality)]),161,theory(equality)]) ).
cnf(517,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[516,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),372,theory(equality)]) ).
cnf(518,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12 ),
inference(cn,[status(thm)],[517,theory(equality)]) ).
cnf(531,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n15,succ(n12)),sum(pred(n12),n1)) != sum(n0,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[432,518,theory(equality)]) ).
cnf(534,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n0,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[531,402,theory(equality)]),129,theory(equality)]),386,theory(equality)]),205,theory(equality)]),178,theory(equality)]) ).
cnf(535,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[534,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),374,theory(equality)]) ).
cnf(536,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[535,theory(equality)]) ).
cnf(548,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| sum(sum(n15,succ(n11)),sum(pred(n11),n1)) != sum(n0,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[432,536,theory(equality)]) ).
cnf(551,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| n6 != sum(n0,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[548,403,theory(equality)]),130,theory(equality)]),387,theory(equality)]),221,theory(equality)]),195,theory(equality)]) ).
cnf(552,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[551,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),376,theory(equality)]) ).
cnf(553,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| 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(cn,[status(thm)],[552,theory(equality)]) ).
cnf(564,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n15,succ(n10)),sum(pred(n10),n1)) != sum(n0,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[432,553,theory(equality)]) ).
cnf(567,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n9
| 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 != sum(n0,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[564,404,theory(equality)]),131,theory(equality)]),388,theory(equality)]),237,theory(equality)]),212,theory(equality)]) ).
cnf(568,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[567,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),378,theory(equality)]) ).
cnf(569,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[568,theory(equality)]) ).
cnf(579,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| sum(sum(n15,succ(n9)),sum(pred(n9),n1)) != sum(n0,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[432,569,theory(equality)]) ).
cnf(582,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| 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 != sum(n0,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[579,405,theory(equality)]),132,theory(equality)]),389,theory(equality)]),253,theory(equality)]),229,theory(equality)]) ).
cnf(583,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[582,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),380,theory(equality)]) ).
cnf(584,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[583,theory(equality)]) ).
cnf(593,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n15,succ(n8)),sum(pred(n8),n1)) != sum(n0,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[432,584,theory(equality)]) ).
cnf(596,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != sum(n0,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[593,406,theory(equality)]),133,theory(equality)]),390,theory(equality)]),269,theory(equality)]),246,theory(equality)]) ).
cnf(597,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[596,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),382,theory(equality)]) ).
cnf(598,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[597,theory(equality)]) ).
cnf(606,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| sum(sum(n15,succ(n7)),sum(pred(n7),n1)) != sum(n0,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[432,598,theory(equality)]) ).
cnf(609,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n14 != sum(n0,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[606,407,theory(equality)]),134,theory(equality)]),391,theory(equality)]),285,theory(equality)]),263,theory(equality)]) ).
cnf(610,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[609,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),368,theory(equality)]) ).
cnf(611,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[610,theory(equality)]) ).
cnf(618,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n15,succ(n6)),sum(pred(n6),n1)) != sum(n0,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[432,611,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
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n0,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[618,408,theory(equality)]),135,theory(equality)]),392,theory(equality)]),301,theory(equality)]),280,theory(equality)]) ).
cnf(622,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[621,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),370,theory(equality)]) ).
cnf(623,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[622,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
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| sum(sum(n15,succ(n5)),sum(pred(n5),n1)) != sum(n0,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[432,623,theory(equality)]) ).
cnf(632,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n10 != sum(n0,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[629,409,theory(equality)]),136,theory(equality)]),393,theory(equality)]),317,theory(equality)]),297,theory(equality)]) ).
cnf(633,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[632,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),372,theory(equality)]) ).
cnf(634,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[633,theory(equality)]) ).
cnf(639,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n15,succ(n4)),sum(pred(n4),n1)) != sum(n0,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[432,634,theory(equality)]) ).
cnf(642,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n8 != sum(n0,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[639,410,theory(equality)]),137,theory(equality)]),394,theory(equality)]),333,theory(equality)]),314,theory(equality)]) ).
cnf(643,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[642,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),374,theory(equality)]) ).
cnf(644,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[643,theory(equality)]) ).
cnf(648,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| sum(sum(n15,succ(n3)),sum(pred(n3),n1)) != sum(n0,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[432,644,theory(equality)]) ).
cnf(651,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| n6 != sum(n0,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[648,411,theory(equality)]),138,theory(equality)]),395,theory(equality)]),349,theory(equality)]),331,theory(equality)]) ).
cnf(652,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[651,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),376,theory(equality)]) ).
cnf(653,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[652,theory(equality)]) ).
cnf(656,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| sum(sum(n15,succ(n2)),sum(pred(n2),n1)) != sum(n0,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[432,653,theory(equality)]) ).
cnf(659,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| n4 != sum(n0,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[656,412,theory(equality)]),139,theory(equality)]),396,theory(equality)]),365,theory(equality)]),348,theory(equality)]) ).
cnf(660,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[659,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),378,theory(equality)]) ).
cnf(661,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1 ),
inference(cn,[status(thm)],[660,theory(equality)]) ).
cnf(663,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| sum(sum(n15,succ(n1)),sum(pred(n1),n1)) != sum(n0,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[432,661,theory(equality)]) ).
cnf(666,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| n2 != sum(n0,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[663,413,theory(equality)]),140,theory(equality)]),397,theory(equality)]),381,theory(equality)]),365,theory(equality)]) ).
cnf(667,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[666,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),380,theory(equality)]) ).
cnf(668,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15 ),
inference(cn,[status(thm)],[667,theory(equality)]) ).
cnf(683,plain,
( esk1_0 = n14
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n15),succ(esk2_0)),sum(pred(esk2_0),succ(n15))) != sum(sum(pred(n15),succ(n15)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,668,theory(equality)]) ).
cnf(684,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n14
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n15),n1),sum(n15,succ(n15))) != sum(sum(pred(n15),succ(n15)),n0) ),
inference(spm,[status(thm)],[450,668,theory(equality)]) ).
cnf(685,plain,
( esk1_0 = n14
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n14,succ(esk2_0)),sum(pred(esk2_0),n0)) != sum(sum(pred(n15),succ(n15)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[683,383,theory(equality)]),399,theory(equality)]) ).
cnf(686,plain,
( esk1_0 = n14
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n14,succ(esk2_0)),sum(pred(esk2_0),n0)) != sum(n14,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[685,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]) ).
cnf(687,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n14
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n14 != sum(sum(pred(n15),succ(n15)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[684,383,theory(equality)]),157,theory(equality)]),399,theory(equality)]),142,theory(equality)]),127,theory(equality)]) ).
cnf(688,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n14
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[687,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),158,theory(equality)]) ).
cnf(689,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n14
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[688,theory(equality)]) ).
cnf(709,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n14,succ(n15)),sum(pred(n15),n0)) != sum(n14,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[686,689,theory(equality)]) ).
cnf(712,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n14,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[709,399,theory(equality)]),158,theory(equality)]),383,theory(equality)]),158,theory(equality)]),144,theory(equality)]) ).
cnf(713,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[712,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),144,theory(equality)]) ).
cnf(714,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[713,theory(equality)]) ).
cnf(729,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n14,succ(n14)),sum(pred(n14),n0)) != sum(n14,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[686,714,theory(equality)]) ).
cnf(732,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n10 != sum(n14,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[729,400,theory(equality)]),143,theory(equality)]),384,theory(equality)]),174,theory(equality)]),161,theory(equality)]) ).
cnf(733,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[732,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),146,theory(equality)]) ).
cnf(734,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[733,theory(equality)]) ).
cnf(748,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n14,succ(n13)),sum(pred(n13),n0)) != sum(n14,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[686,734,theory(equality)]) ).
cnf(751,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n14,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[748,401,theory(equality)]),144,theory(equality)]),385,theory(equality)]),190,theory(equality)]),178,theory(equality)]) ).
cnf(752,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[751,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),148,theory(equality)]) ).
cnf(753,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[752,theory(equality)]) ).
cnf(766,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n14,succ(n12)),sum(pred(n12),n0)) != sum(n14,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[686,753,theory(equality)]) ).
cnf(769,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n6 != sum(n14,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[766,402,theory(equality)]),145,theory(equality)]),386,theory(equality)]),206,theory(equality)]),195,theory(equality)]) ).
cnf(770,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[769,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),150,theory(equality)]) ).
cnf(771,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[770,theory(equality)]) ).
cnf(783,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n14,succ(n11)),sum(pred(n11),n0)) != sum(n14,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[686,771,theory(equality)]) ).
cnf(786,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n14,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[783,403,theory(equality)]),146,theory(equality)]),387,theory(equality)]),222,theory(equality)]),212,theory(equality)]) ).
cnf(787,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[786,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),152,theory(equality)]) ).
cnf(788,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[787,theory(equality)]) ).
cnf(799,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| sum(sum(n14,succ(n10)),sum(pred(n10),n0)) != sum(n14,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[686,788,theory(equality)]) ).
cnf(802,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| n2 != sum(n14,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[799,404,theory(equality)]),147,theory(equality)]),388,theory(equality)]),238,theory(equality)]),229,theory(equality)]) ).
cnf(803,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[802,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),154,theory(equality)]) ).
cnf(804,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| 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(cn,[status(thm)],[803,theory(equality)]) ).
cnf(814,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n14,succ(n9)),sum(pred(n9),n0)) != sum(n14,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[686,804,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
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| 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 != sum(n14,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[814,405,theory(equality)]),148,theory(equality)]),389,theory(equality)]),254,theory(equality)]),246,theory(equality)]) ).
cnf(818,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[817,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),156,theory(equality)]) ).
cnf(819,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[818,theory(equality)]) ).
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
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| sum(sum(n14,succ(n8)),sum(pred(n8),n0)) != sum(n14,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[686,819,theory(equality)]) ).
cnf(831,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| n14 != sum(n14,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[828,406,theory(equality)]),149,theory(equality)]),390,theory(equality)]),270,theory(equality)]),263,theory(equality)]) ).
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
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[831,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),158,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
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[832,theory(equality)]) ).
cnf(841,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n14,succ(n7)),sum(pred(n7),n0)) != sum(n14,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[686,833,theory(equality)]) ).
cnf(844,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n14,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[841,407,theory(equality)]),150,theory(equality)]),391,theory(equality)]),286,theory(equality)]),280,theory(equality)]) ).
cnf(845,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[844,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),144,theory(equality)]) ).
cnf(846,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[845,theory(equality)]) ).
cnf(853,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| sum(sum(n14,succ(n6)),sum(pred(n6),n0)) != sum(n14,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[686,846,theory(equality)]) ).
cnf(856,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| n10 != sum(n14,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[853,408,theory(equality)]),151,theory(equality)]),392,theory(equality)]),302,theory(equality)]),297,theory(equality)]) ).
cnf(857,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[856,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),146,theory(equality)]) ).
cnf(858,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[857,theory(equality)]) ).
cnf(864,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n14,succ(n5)),sum(pred(n5),n0)) != sum(n14,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[686,858,theory(equality)]) ).
cnf(867,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n8 != sum(n14,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[864,409,theory(equality)]),152,theory(equality)]),393,theory(equality)]),318,theory(equality)]),314,theory(equality)]) ).
cnf(868,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[867,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),148,theory(equality)]) ).
cnf(869,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[868,theory(equality)]) ).
cnf(884,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| sum(sum(n14,succ(n4)),sum(pred(n4),n0)) != sum(n14,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[686,869,theory(equality)]) ).
cnf(887,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| n6 != sum(n14,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[884,410,theory(equality)]),153,theory(equality)]),394,theory(equality)]),334,theory(equality)]),331,theory(equality)]) ).
cnf(888,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[887,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),150,theory(equality)]) ).
cnf(889,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[888,theory(equality)]) ).
cnf(893,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n14,succ(n3)),sum(pred(n3),n0)) != sum(n14,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[686,889,theory(equality)]) ).
cnf(896,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n2
| esk2_0 = n1
| n4 != sum(n14,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[893,411,theory(equality)]),154,theory(equality)]),395,theory(equality)]),350,theory(equality)]),348,theory(equality)]) ).
cnf(897,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[896,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),152,theory(equality)]) ).
cnf(898,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[897,theory(equality)]) ).
cnf(901,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| sum(sum(n14,succ(n2)),sum(pred(n2),n0)) != sum(n14,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[686,898,theory(equality)]) ).
cnf(904,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| n2 != sum(n14,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[901,412,theory(equality)]),155,theory(equality)]),396,theory(equality)]),366,theory(equality)]),365,theory(equality)]) ).
cnf(905,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[904,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),154,theory(equality)]) ).
cnf(906,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk2_0 = n1 ),
inference(cn,[status(thm)],[905,theory(equality)]) ).
cnf(908,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| sum(sum(n14,succ(n1)),sum(pred(n1),n0)) != sum(n14,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[686,906,theory(equality)]) ).
cnf(911,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| n0 != sum(n14,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[908,413,theory(equality)]),156,theory(equality)]),397,theory(equality)]),382,theory(equality)]),382,theory(equality)]) ).
cnf(912,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[911,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),156,theory(equality)]) ).
cnf(913,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14 ),
inference(cn,[status(thm)],[912,theory(equality)]) ).
cnf(927,plain,
( esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n14),succ(esk2_0)),sum(pred(esk2_0),succ(n14))) != sum(sum(pred(n14),succ(n14)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,913,theory(equality)]) ).
cnf(928,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n14),n1),sum(n15,succ(n14))) != sum(sum(pred(n14),succ(n14)),n0) ),
inference(spm,[status(thm)],[450,913,theory(equality)]) ).
cnf(929,plain,
( esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n13,succ(esk2_0)),sum(pred(esk2_0),n15)) != sum(sum(pred(n14),succ(n14)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[927,384,theory(equality)]),400,theory(equality)]) ).
cnf(930,plain,
( esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n13,succ(esk2_0)),sum(pred(esk2_0),n15)) != sum(n12,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[929,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]) ).
cnf(931,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n12 != sum(sum(pred(n14),succ(n14)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[928,384,theory(equality)]),173,theory(equality)]),400,theory(equality)]),127,theory(equality)]),144,theory(equality)]) ).
cnf(932,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[931,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),190,theory(equality)]) ).
cnf(933,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n13
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[932,theory(equality)]) ).
cnf(953,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n13,succ(n15)),sum(pred(n15),n15)) != sum(n12,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[930,933,theory(equality)]) ).
cnf(956,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n12,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[953,399,theory(equality)]),174,theory(equality)]),383,theory(equality)]),143,theory(equality)]),161,theory(equality)]) ).
cnf(957,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[956,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),176,theory(equality)]) ).
cnf(958,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[957,theory(equality)]) ).
cnf(973,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n13,succ(n14)),sum(pred(n14),n15)) != sum(n12,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[930,958,theory(equality)]) ).
cnf(976,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n8 != sum(n12,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[973,400,theory(equality)]),159,theory(equality)]),384,theory(equality)]),159,theory(equality)]),178,theory(equality)]) ).
cnf(977,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[976,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),178,theory(equality)]) ).
cnf(978,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[977,theory(equality)]) ).
cnf(992,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n13,succ(n13)),sum(pred(n13),n15)) != sum(n12,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[930,978,theory(equality)]) ).
cnf(995,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n12,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[992,401,theory(equality)]),160,theory(equality)]),385,theory(equality)]),175,theory(equality)]),195,theory(equality)]) ).
cnf(996,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[995,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),180,theory(equality)]) ).
cnf(997,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[996,theory(equality)]) ).
cnf(1010,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n13,succ(n12)),sum(pred(n12),n15)) != sum(n12,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[930,997,theory(equality)]) ).
cnf(1013,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n4 != sum(n12,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1010,402,theory(equality)]),161,theory(equality)]),386,theory(equality)]),191,theory(equality)]),212,theory(equality)]) ).
cnf(1014,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1013,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),182,theory(equality)]) ).
cnf(1015,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[1014,theory(equality)]) ).
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
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n13,succ(n11)),sum(pred(n11),n15)) != sum(n12,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[930,1015,theory(equality)]) ).
cnf(1030,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n12,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1027,403,theory(equality)]),162,theory(equality)]),387,theory(equality)]),207,theory(equality)]),229,theory(equality)]) ).
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
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1030,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),184,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
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1031,theory(equality)]) ).
cnf(1043,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| sum(sum(n13,succ(n10)),sum(pred(n10),n15)) != sum(n12,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[930,1032,theory(equality)]) ).
cnf(1046,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| n0 != sum(n12,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1043,404,theory(equality)]),163,theory(equality)]),388,theory(equality)]),223,theory(equality)]),246,theory(equality)]) ).
cnf(1047,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1046,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),186,theory(equality)]) ).
cnf(1048,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| 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(cn,[status(thm)],[1047,theory(equality)]) ).
cnf(1058,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n13,succ(n9)),sum(pred(n9),n15)) != sum(n12,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[930,1048,theory(equality)]) ).
cnf(1061,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n14 != sum(n12,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1058,405,theory(equality)]),164,theory(equality)]),389,theory(equality)]),239,theory(equality)]),263,theory(equality)]) ).
cnf(1062,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1061,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),188,theory(equality)]) ).
cnf(1063,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1062,theory(equality)]) ).
cnf(1078,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| sum(sum(n13,succ(n8)),sum(pred(n8),n15)) != sum(n12,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[930,1063,theory(equality)]) ).
cnf(1081,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| n12 != sum(n12,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1078,406,theory(equality)]),165,theory(equality)]),390,theory(equality)]),255,theory(equality)]),280,theory(equality)]) ).
cnf(1082,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1081,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),190,theory(equality)]) ).
cnf(1083,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[1082,theory(equality)]) ).
cnf(1091,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n13,succ(n7)),sum(pred(n7),n15)) != sum(n12,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[930,1083,theory(equality)]) ).
cnf(1094,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != sum(n12,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1091,407,theory(equality)]),166,theory(equality)]),391,theory(equality)]),271,theory(equality)]),297,theory(equality)]) ).
cnf(1095,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1094,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),176,theory(equality)]) ).
cnf(1096,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1095,theory(equality)]) ).
cnf(1103,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| sum(sum(n13,succ(n6)),sum(pred(n6),n15)) != sum(n12,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[930,1096,theory(equality)]) ).
cnf(1106,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| n8 != sum(n12,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1103,408,theory(equality)]),167,theory(equality)]),392,theory(equality)]),287,theory(equality)]),314,theory(equality)]) ).
cnf(1107,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1106,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),178,theory(equality)]) ).
cnf(1108,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[1107,theory(equality)]) ).
cnf(1114,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n13,succ(n5)),sum(pred(n5),n15)) != sum(n12,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[930,1108,theory(equality)]) ).
cnf(1117,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != sum(n12,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1114,409,theory(equality)]),168,theory(equality)]),393,theory(equality)]),303,theory(equality)]),331,theory(equality)]) ).
cnf(1118,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1117,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),180,theory(equality)]) ).
cnf(1119,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1118,theory(equality)]) ).
cnf(1124,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| sum(sum(n13,succ(n4)),sum(pred(n4),n15)) != sum(n12,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[930,1119,theory(equality)]) ).
cnf(1127,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| n4 != sum(n12,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1124,410,theory(equality)]),169,theory(equality)]),394,theory(equality)]),319,theory(equality)]),348,theory(equality)]) ).
cnf(1128,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1127,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),182,theory(equality)]) ).
cnf(1129,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[1128,theory(equality)]) ).
cnf(1133,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n13,succ(n3)),sum(pred(n3),n15)) != sum(n12,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[930,1129,theory(equality)]) ).
cnf(1136,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n2
| esk2_0 = n1
| n2 != sum(n12,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1133,411,theory(equality)]),170,theory(equality)]),395,theory(equality)]),335,theory(equality)]),365,theory(equality)]) ).
cnf(1137,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1136,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),184,theory(equality)]) ).
cnf(1138,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1137,theory(equality)]) ).
cnf(1141,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| sum(sum(n13,succ(n2)),sum(pred(n2),n15)) != sum(n12,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[930,1138,theory(equality)]) ).
cnf(1144,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| n0 != sum(n12,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1141,412,theory(equality)]),171,theory(equality)]),396,theory(equality)]),351,theory(equality)]),382,theory(equality)]) ).
cnf(1145,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1144,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),186,theory(equality)]) ).
cnf(1146,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1145,theory(equality)]) ).
cnf(1148,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| sum(sum(n13,succ(n1)),sum(pred(n1),n15)) != sum(n12,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[930,1146,theory(equality)]) ).
cnf(1151,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| n14 != sum(n12,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1148,413,theory(equality)]),172,theory(equality)]),397,theory(equality)]),367,theory(equality)]),127,theory(equality)]) ).
cnf(1152,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1151,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),188,theory(equality)]) ).
cnf(1153,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13 ),
inference(cn,[status(thm)],[1152,theory(equality)]) ).
cnf(1183,plain,
( esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n13),succ(esk2_0)),sum(pred(esk2_0),succ(n13))) != sum(sum(pred(n13),succ(n13)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,1153,theory(equality)]) ).
cnf(1184,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n13),n1),sum(n15,succ(n13))) != sum(sum(pred(n13),succ(n13)),n0) ),
inference(spm,[status(thm)],[450,1153,theory(equality)]) ).
cnf(1185,plain,
( esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n12,succ(esk2_0)),sum(pred(esk2_0),n14)) != sum(sum(pred(n13),succ(n13)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1183,385,theory(equality)]),401,theory(equality)]) ).
cnf(1186,plain,
( esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n12,succ(esk2_0)),sum(pred(esk2_0),n14)) != sum(n10,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1185,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]) ).
cnf(1187,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n10 != sum(sum(pred(n13),succ(n13)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1184,385,theory(equality)]),189,theory(equality)]),401,theory(equality)]),128,theory(equality)]),161,theory(equality)]) ).
cnf(1188,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1187,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),222,theory(equality)]) ).
cnf(1189,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n12
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[1188,theory(equality)]) ).
cnf(1208,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n12,succ(n15)),sum(pred(n15),n14)) != sum(n10,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[1186,1189,theory(equality)]) ).
cnf(1212,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n10,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1208,399,theory(equality)]),190,theory(equality)]),383,theory(equality)]),144,theory(equality)]),178,theory(equality)]) ).
cnf(1213,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1212,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),208,theory(equality)]) ).
cnf(1214,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1213,theory(equality)]) ).
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
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n12,succ(n14)),sum(pred(n14),n14)) != sum(n10,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[1186,1214,theory(equality)]) ).
cnf(1232,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n6 != sum(n10,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1229,400,theory(equality)]),175,theory(equality)]),384,theory(equality)]),160,theory(equality)]),195,theory(equality)]) ).
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
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1232,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),210,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
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[1233,theory(equality)]) ).
cnf(1248,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n12,succ(n13)),sum(pred(n13),n14)) != sum(n10,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[1186,1234,theory(equality)]) ).
cnf(1251,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n10,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1248,401,theory(equality)]),176,theory(equality)]),385,theory(equality)]),176,theory(equality)]),212,theory(equality)]) ).
cnf(1252,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1251,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),212,theory(equality)]) ).
cnf(1253,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1252,theory(equality)]) ).
cnf(1266,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n12,succ(n12)),sum(pred(n12),n14)) != sum(n10,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[1186,1253,theory(equality)]) ).
cnf(1269,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n2 != sum(n10,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1266,402,theory(equality)]),177,theory(equality)]),386,theory(equality)]),192,theory(equality)]),229,theory(equality)]) ).
cnf(1270,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1269,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),214,theory(equality)]) ).
cnf(1271,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[1270,theory(equality)]) ).
cnf(1283,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n12,succ(n11)),sum(pred(n11),n14)) != sum(n10,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[1186,1271,theory(equality)]) ).
cnf(1286,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n10,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1283,403,theory(equality)]),178,theory(equality)]),387,theory(equality)]),208,theory(equality)]),246,theory(equality)]) ).
cnf(1287,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1286,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),216,theory(equality)]) ).
cnf(1288,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1287,theory(equality)]) ).
cnf(1299,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| sum(sum(n12,succ(n10)),sum(pred(n10),n14)) != sum(n10,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[1186,1288,theory(equality)]) ).
cnf(1302,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| n14 != sum(n10,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1299,404,theory(equality)]),179,theory(equality)]),388,theory(equality)]),224,theory(equality)]),263,theory(equality)]) ).
cnf(1303,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1302,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),218,theory(equality)]) ).
cnf(1304,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| 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(cn,[status(thm)],[1303,theory(equality)]) ).
cnf(1314,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n12,succ(n9)),sum(pred(n9),n14)) != sum(n10,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[1186,1304,theory(equality)]) ).
cnf(1317,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n10,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1314,405,theory(equality)]),180,theory(equality)]),389,theory(equality)]),240,theory(equality)]),280,theory(equality)]) ).
cnf(1318,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1317,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),220,theory(equality)]) ).
cnf(1319,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1318,theory(equality)]) ).
cnf(1328,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| sum(sum(n12,succ(n8)),sum(pred(n8),n14)) != sum(n10,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[1186,1319,theory(equality)]) ).
cnf(1331,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| n10 != sum(n10,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1328,406,theory(equality)]),181,theory(equality)]),390,theory(equality)]),256,theory(equality)]),297,theory(equality)]) ).
cnf(1332,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1331,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),222,theory(equality)]) ).
cnf(1333,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[1332,theory(equality)]) ).
cnf(1341,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n12,succ(n7)),sum(pred(n7),n14)) != sum(n10,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[1186,1333,theory(equality)]) ).
cnf(1344,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n8 != sum(n10,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1341,407,theory(equality)]),182,theory(equality)]),391,theory(equality)]),272,theory(equality)]),314,theory(equality)]) ).
cnf(1345,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1344,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),208,theory(equality)]) ).
cnf(1346,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1345,theory(equality)]) ).
cnf(1361,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| sum(sum(n12,succ(n6)),sum(pred(n6),n14)) != sum(n10,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[1186,1346,theory(equality)]) ).
cnf(1364,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| n6 != sum(n10,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1361,408,theory(equality)]),183,theory(equality)]),392,theory(equality)]),288,theory(equality)]),331,theory(equality)]) ).
cnf(1365,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1364,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),210,theory(equality)]) ).
cnf(1366,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[1365,theory(equality)]) ).
cnf(1372,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n12,succ(n5)),sum(pred(n5),n14)) != sum(n10,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[1186,1366,theory(equality)]) ).
cnf(1375,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n4 != sum(n10,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1372,409,theory(equality)]),184,theory(equality)]),393,theory(equality)]),304,theory(equality)]),348,theory(equality)]) ).
cnf(1376,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1375,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),212,theory(equality)]) ).
cnf(1377,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1376,theory(equality)]) ).
cnf(1382,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| sum(sum(n12,succ(n4)),sum(pred(n4),n14)) != sum(n10,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[1186,1377,theory(equality)]) ).
cnf(1385,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| n2 != sum(n10,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1382,410,theory(equality)]),185,theory(equality)]),394,theory(equality)]),320,theory(equality)]),365,theory(equality)]) ).
cnf(1386,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1385,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),214,theory(equality)]) ).
cnf(1387,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[1386,theory(equality)]) ).
cnf(1391,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n12,succ(n3)),sum(pred(n3),n14)) != sum(n10,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[1186,1387,theory(equality)]) ).
cnf(1394,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n2
| esk2_0 = n1
| n0 != sum(n10,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1391,411,theory(equality)]),186,theory(equality)]),395,theory(equality)]),336,theory(equality)]),382,theory(equality)]) ).
cnf(1395,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1394,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),216,theory(equality)]) ).
cnf(1396,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1395,theory(equality)]) ).
cnf(1399,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| sum(sum(n12,succ(n2)),sum(pred(n2),n14)) != sum(n10,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[1186,1396,theory(equality)]) ).
cnf(1402,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| n14 != sum(n10,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1399,412,theory(equality)]),187,theory(equality)]),396,theory(equality)]),352,theory(equality)]),127,theory(equality)]) ).
cnf(1403,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1402,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),218,theory(equality)]) ).
cnf(1404,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1403,theory(equality)]) ).
cnf(1406,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| sum(sum(n12,succ(n1)),sum(pred(n1),n14)) != sum(n10,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[1186,1404,theory(equality)]) ).
cnf(1409,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| n12 != sum(n10,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1406,413,theory(equality)]),188,theory(equality)]),397,theory(equality)]),368,theory(equality)]),144,theory(equality)]) ).
cnf(1410,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1409,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),220,theory(equality)]) ).
cnf(1411,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12 ),
inference(cn,[status(thm)],[1410,theory(equality)]) ).
cnf(1423,plain,
( esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n12),succ(esk2_0)),sum(pred(esk2_0),succ(n12))) != sum(sum(pred(n12),succ(n12)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,1411,theory(equality)]) ).
cnf(1424,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n12),n1),sum(n15,succ(n12))) != sum(sum(pred(n12),succ(n12)),n0) ),
inference(spm,[status(thm)],[450,1411,theory(equality)]) ).
cnf(1425,plain,
( esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n11,succ(esk2_0)),sum(pred(esk2_0),n13)) != sum(sum(pred(n12),succ(n12)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1423,386,theory(equality)]),402,theory(equality)]) ).
cnf(1426,plain,
( esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n11,succ(esk2_0)),sum(pred(esk2_0),n13)) != sum(n8,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1425,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]) ).
cnf(1427,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n8 != sum(sum(pred(n12),succ(n12)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1424,386,theory(equality)]),205,theory(equality)]),402,theory(equality)]),129,theory(equality)]),178,theory(equality)]) ).
cnf(1428,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1427,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),254,theory(equality)]) ).
cnf(1429,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n11
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[1428,theory(equality)]) ).
cnf(1449,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n11,succ(n15)),sum(pred(n15),n13)) != sum(n8,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[1426,1429,theory(equality)]) ).
cnf(1452,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n8,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1449,399,theory(equality)]),206,theory(equality)]),383,theory(equality)]),145,theory(equality)]),195,theory(equality)]) ).
cnf(1453,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1452,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),240,theory(equality)]) ).
cnf(1454,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1453,theory(equality)]) ).
cnf(1469,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n11,succ(n14)),sum(pred(n14),n13)) != sum(n8,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[1426,1454,theory(equality)]) ).
cnf(1472,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n4 != sum(n8,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1469,400,theory(equality)]),191,theory(equality)]),384,theory(equality)]),161,theory(equality)]),212,theory(equality)]) ).
cnf(1473,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1472,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),242,theory(equality)]) ).
cnf(1474,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[1473,theory(equality)]) ).
cnf(1488,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n11,succ(n13)),sum(pred(n13),n13)) != sum(n8,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[1426,1474,theory(equality)]) ).
cnf(1491,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n8,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1488,401,theory(equality)]),192,theory(equality)]),385,theory(equality)]),177,theory(equality)]),229,theory(equality)]) ).
cnf(1492,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1491,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),244,theory(equality)]) ).
cnf(1493,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1492,theory(equality)]) ).
cnf(1506,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n11,succ(n12)),sum(pred(n12),n13)) != sum(n8,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[1426,1493,theory(equality)]) ).
cnf(1509,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n0 != sum(n8,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1506,402,theory(equality)]),193,theory(equality)]),386,theory(equality)]),193,theory(equality)]),246,theory(equality)]) ).
cnf(1510,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1509,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),246,theory(equality)]) ).
cnf(1511,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[1510,theory(equality)]) ).
cnf(1523,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n11,succ(n11)),sum(pred(n11),n13)) != sum(n8,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[1426,1511,theory(equality)]) ).
cnf(1526,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n14 != sum(n8,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1523,403,theory(equality)]),194,theory(equality)]),387,theory(equality)]),209,theory(equality)]),263,theory(equality)]) ).
cnf(1527,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1526,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),248,theory(equality)]) ).
cnf(1528,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1527,theory(equality)]) ).
cnf(1539,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| sum(sum(n11,succ(n10)),sum(pred(n10),n13)) != sum(n8,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[1426,1528,theory(equality)]) ).
cnf(1542,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| n12 != sum(n8,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1539,404,theory(equality)]),195,theory(equality)]),388,theory(equality)]),225,theory(equality)]),280,theory(equality)]) ).
cnf(1543,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1542,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),250,theory(equality)]) ).
cnf(1544,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| 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(cn,[status(thm)],[1543,theory(equality)]) ).
cnf(1554,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n11,succ(n9)),sum(pred(n9),n13)) != sum(n8,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[1426,1544,theory(equality)]) ).
cnf(1557,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| 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 != sum(n8,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1554,405,theory(equality)]),196,theory(equality)]),389,theory(equality)]),241,theory(equality)]),297,theory(equality)]) ).
cnf(1558,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1557,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),252,theory(equality)]) ).
cnf(1559,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1558,theory(equality)]) ).
cnf(1574,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| sum(sum(n11,succ(n8)),sum(pred(n8),n13)) != sum(n8,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[1426,1559,theory(equality)]) ).
cnf(1577,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| n8 != sum(n8,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1574,406,theory(equality)]),197,theory(equality)]),390,theory(equality)]),257,theory(equality)]),314,theory(equality)]) ).
cnf(1578,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1577,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),254,theory(equality)]) ).
cnf(1579,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[1578,theory(equality)]) ).
cnf(1587,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n11,succ(n7)),sum(pred(n7),n13)) != sum(n8,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[1426,1579,theory(equality)]) ).
cnf(1590,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != sum(n8,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1587,407,theory(equality)]),198,theory(equality)]),391,theory(equality)]),273,theory(equality)]),331,theory(equality)]) ).
cnf(1591,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1590,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),240,theory(equality)]) ).
cnf(1592,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1591,theory(equality)]) ).
cnf(1599,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| sum(sum(n11,succ(n6)),sum(pred(n6),n13)) != sum(n8,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[1426,1592,theory(equality)]) ).
cnf(1602,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| n4 != sum(n8,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1599,408,theory(equality)]),199,theory(equality)]),392,theory(equality)]),289,theory(equality)]),348,theory(equality)]) ).
cnf(1603,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1602,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),242,theory(equality)]) ).
cnf(1604,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[1603,theory(equality)]) ).
cnf(1610,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n11,succ(n5)),sum(pred(n5),n13)) != sum(n8,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[1426,1604,theory(equality)]) ).
cnf(1613,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != sum(n8,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1610,409,theory(equality)]),200,theory(equality)]),393,theory(equality)]),305,theory(equality)]),365,theory(equality)]) ).
cnf(1614,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1613,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),244,theory(equality)]) ).
cnf(1615,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1614,theory(equality)]) ).
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
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| sum(sum(n11,succ(n4)),sum(pred(n4),n13)) != sum(n8,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[1426,1615,theory(equality)]) ).
cnf(1623,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| n0 != sum(n8,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1620,410,theory(equality)]),201,theory(equality)]),394,theory(equality)]),321,theory(equality)]),382,theory(equality)]) ).
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
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1623,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),246,theory(equality)]) ).
cnf(1625,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[1624,theory(equality)]) ).
cnf(1629,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n11,succ(n3)),sum(pred(n3),n13)) != sum(n8,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[1426,1625,theory(equality)]) ).
cnf(1632,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n2
| esk2_0 = n1
| n14 != sum(n8,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1629,411,theory(equality)]),202,theory(equality)]),395,theory(equality)]),337,theory(equality)]),127,theory(equality)]) ).
cnf(1633,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1632,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),248,theory(equality)]) ).
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
| esk1_0 = n11
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1633,theory(equality)]) ).
cnf(1637,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| sum(sum(n11,succ(n2)),sum(pred(n2),n13)) != sum(n8,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[1426,1634,theory(equality)]) ).
cnf(1640,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| n12 != sum(n8,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1637,412,theory(equality)]),203,theory(equality)]),396,theory(equality)]),353,theory(equality)]),144,theory(equality)]) ).
cnf(1641,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1640,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),250,theory(equality)]) ).
cnf(1642,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1641,theory(equality)]) ).
cnf(1644,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| sum(sum(n11,succ(n1)),sum(pred(n1),n13)) != sum(n8,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[1426,1642,theory(equality)]) ).
cnf(1647,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| n10 != sum(n8,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1644,413,theory(equality)]),204,theory(equality)]),397,theory(equality)]),369,theory(equality)]),161,theory(equality)]) ).
cnf(1648,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1647,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),252,theory(equality)]) ).
cnf(1649,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11 ),
inference(cn,[status(thm)],[1648,theory(equality)]) ).
cnf(1675,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
| sum(sum(pred(n11),succ(esk2_0)),sum(pred(esk2_0),succ(n11))) != sum(sum(pred(n11),succ(n11)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,1649,theory(equality)]) ).
cnf(1676,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n11),n1),sum(n15,succ(n11))) != sum(sum(pred(n11),succ(n11)),n0) ),
inference(spm,[status(thm)],[450,1649,theory(equality)]) ).
cnf(1677,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
| sum(sum(n10,succ(esk2_0)),sum(pred(esk2_0),n12)) != sum(sum(pred(n11),succ(n11)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1675,387,theory(equality)]),403,theory(equality)]) ).
cnf(1678,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
| sum(sum(n10,succ(esk2_0)),sum(pred(esk2_0),n12)) != sum(n6,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1677,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]) ).
cnf(1679,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n6 != sum(sum(pred(n11),succ(n11)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1676,387,theory(equality)]),221,theory(equality)]),403,theory(equality)]),130,theory(equality)]),195,theory(equality)]) ).
cnf(1680,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1679,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),286,theory(equality)]) ).
cnf(1681,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[1680,theory(equality)]) ).
cnf(1701,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n10,succ(n15)),sum(pred(n15),n12)) != sum(n6,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[1678,1681,theory(equality)]) ).
cnf(1704,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n6,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1701,399,theory(equality)]),222,theory(equality)]),383,theory(equality)]),146,theory(equality)]),212,theory(equality)]) ).
cnf(1705,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1704,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),272,theory(equality)]) ).
cnf(1706,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1705,theory(equality)]) ).
cnf(1721,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n10,succ(n14)),sum(pred(n14),n12)) != sum(n6,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[1678,1706,theory(equality)]) ).
cnf(1724,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n2 != sum(n6,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1721,400,theory(equality)]),207,theory(equality)]),384,theory(equality)]),162,theory(equality)]),229,theory(equality)]) ).
cnf(1725,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1724,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),274,theory(equality)]) ).
cnf(1726,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[1725,theory(equality)]) ).
cnf(1740,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n10,succ(n13)),sum(pred(n13),n12)) != sum(n6,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[1678,1726,theory(equality)]) ).
cnf(1743,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n6,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1740,401,theory(equality)]),208,theory(equality)]),385,theory(equality)]),178,theory(equality)]),246,theory(equality)]) ).
cnf(1744,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1743,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),276,theory(equality)]) ).
cnf(1745,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1744,theory(equality)]) ).
cnf(1758,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n10,succ(n12)),sum(pred(n12),n12)) != sum(n6,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[1678,1745,theory(equality)]) ).
cnf(1761,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| esk2_0 = n10
| esk2_0 = n11
| n14 != sum(n6,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1758,402,theory(equality)]),209,theory(equality)]),386,theory(equality)]),194,theory(equality)]),263,theory(equality)]) ).
cnf(1762,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1761,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),278,theory(equality)]) ).
cnf(1763,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[1762,theory(equality)]) ).
cnf(1775,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| sum(sum(n10,succ(n11)),sum(pred(n11),n12)) != sum(n6,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[1678,1763,theory(equality)]) ).
cnf(1778,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| n12 != sum(n6,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1775,403,theory(equality)]),210,theory(equality)]),387,theory(equality)]),210,theory(equality)]),280,theory(equality)]) ).
cnf(1779,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1778,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),280,theory(equality)]) ).
cnf(1780,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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(cn,[status(thm)],[1779,theory(equality)]) ).
cnf(1795,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| sum(sum(n10,succ(n10)),sum(pred(n10),n12)) != sum(n6,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[1678,1780,theory(equality)]) ).
cnf(1798,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| n10 != sum(n6,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1795,404,theory(equality)]),211,theory(equality)]),388,theory(equality)]),226,theory(equality)]),297,theory(equality)]) ).
cnf(1799,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1798,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),282,theory(equality)]) ).
cnf(1800,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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(cn,[status(thm)],[1799,theory(equality)]) ).
cnf(1810,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| sum(sum(n10,succ(n9)),sum(pred(n9),n12)) != sum(n6,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[1678,1800,theory(equality)]) ).
cnf(1813,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| n8 != sum(n6,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1810,405,theory(equality)]),212,theory(equality)]),389,theory(equality)]),242,theory(equality)]),314,theory(equality)]) ).
cnf(1814,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1813,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),284,theory(equality)]) ).
cnf(1815,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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(cn,[status(thm)],[1814,theory(equality)]) ).
cnf(1824,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| sum(sum(n10,succ(n8)),sum(pred(n8),n12)) != sum(n6,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[1678,1815,theory(equality)]) ).
cnf(1827,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| n6 != sum(n6,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1824,406,theory(equality)]),213,theory(equality)]),390,theory(equality)]),258,theory(equality)]),331,theory(equality)]) ).
cnf(1828,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1827,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),286,theory(equality)]) ).
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
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[1828,theory(equality)]) ).
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 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n10,succ(n7)),sum(pred(n7),n12)) != sum(n6,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[1678,1829,theory(equality)]) ).
cnf(1840,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| n4 != sum(n6,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1837,407,theory(equality)]),214,theory(equality)]),391,theory(equality)]),274,theory(equality)]),348,theory(equality)]) ).
cnf(1841,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1840,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),272,theory(equality)]) ).
cnf(1842,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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(cn,[status(thm)],[1841,theory(equality)]) ).
cnf(1849,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| sum(sum(n10,succ(n6)),sum(pred(n6),n12)) != sum(n6,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[1678,1842,theory(equality)]) ).
cnf(1852,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| n2 != sum(n6,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1849,408,theory(equality)]),215,theory(equality)]),392,theory(equality)]),290,theory(equality)]),365,theory(equality)]) ).
cnf(1853,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1852,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),274,theory(equality)]) ).
cnf(1854,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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(cn,[status(thm)],[1853,theory(equality)]) ).
cnf(1860,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| sum(sum(n10,succ(n5)),sum(pred(n5),n12)) != sum(n6,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[1678,1854,theory(equality)]) ).
cnf(1863,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| n0 != sum(n6,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1860,409,theory(equality)]),216,theory(equality)]),393,theory(equality)]),306,theory(equality)]),382,theory(equality)]) ).
cnf(1864,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1863,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),276,theory(equality)]) ).
cnf(1865,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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(cn,[status(thm)],[1864,theory(equality)]) ).
cnf(1870,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| sum(sum(n10,succ(n4)),sum(pred(n4),n12)) != sum(n6,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[1678,1865,theory(equality)]) ).
cnf(1873,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| n14 != sum(n6,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1870,410,theory(equality)]),217,theory(equality)]),394,theory(equality)]),322,theory(equality)]),127,theory(equality)]) ).
cnf(1874,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1873,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),278,theory(equality)]) ).
cnf(1875,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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(cn,[status(thm)],[1874,theory(equality)]) ).
cnf(1879,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| sum(sum(n10,succ(n3)),sum(pred(n3),n12)) != sum(n6,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[1678,1875,theory(equality)]) ).
cnf(1882,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| n12 != sum(n6,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1879,411,theory(equality)]),218,theory(equality)]),395,theory(equality)]),338,theory(equality)]),144,theory(equality)]) ).
cnf(1883,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1882,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),280,theory(equality)]) ).
cnf(1884,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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(cn,[status(thm)],[1883,theory(equality)]) ).
cnf(1887,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| sum(sum(n10,succ(n2)),sum(pred(n2),n12)) != sum(n6,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[1678,1884,theory(equality)]) ).
cnf(1890,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| n10 != sum(n6,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1887,412,theory(equality)]),219,theory(equality)]),396,theory(equality)]),354,theory(equality)]),161,theory(equality)]) ).
cnf(1891,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1890,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),282,theory(equality)]) ).
cnf(1892,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = 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(cn,[status(thm)],[1891,theory(equality)]) ).
cnf(1894,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| sum(sum(n10,succ(n1)),sum(pred(n1),n12)) != sum(n6,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[1678,1892,theory(equality)]) ).
cnf(1897,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| n8 != sum(n6,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1894,413,theory(equality)]),220,theory(equality)]),397,theory(equality)]),370,theory(equality)]),178,theory(equality)]) ).
cnf(1898,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1897,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),284,theory(equality)]) ).
cnf(1899,plain,
( esk1_0 = n1
| esk1_0 = n2
| 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(cn,[status(thm)],[1898,theory(equality)]) ).
cnf(1909,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
| sum(sum(pred(n10),succ(esk2_0)),sum(pred(esk2_0),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,1899,theory(equality)]) ).
cnf(1910,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n10),n1),sum(n15,succ(n10))) != sum(sum(pred(n10),succ(n10)),n0) ),
inference(spm,[status(thm)],[450,1899,theory(equality)]) ).
cnf(1911,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
| sum(sum(n9,succ(esk2_0)),sum(pred(esk2_0),n11)) != sum(sum(pred(n10),succ(n10)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1909,388,theory(equality)]),404,theory(equality)]) ).
cnf(1912,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
| sum(sum(n9,succ(esk2_0)),sum(pred(esk2_0),n11)) != sum(n4,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1911,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]) ).
cnf(1913,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n4 != sum(sum(pred(n10),succ(n10)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1910,388,theory(equality)]),237,theory(equality)]),404,theory(equality)]),131,theory(equality)]),212,theory(equality)]) ).
cnf(1914,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1913,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),318,theory(equality)]) ).
cnf(1915,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[1914,theory(equality)]) ).
cnf(1935,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n9,succ(n15)),sum(pred(n15),n11)) != sum(n4,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[1912,1915,theory(equality)]) ).
cnf(1938,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n4,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1935,399,theory(equality)]),238,theory(equality)]),383,theory(equality)]),147,theory(equality)]),229,theory(equality)]) ).
cnf(1939,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1938,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),304,theory(equality)]) ).
cnf(1940,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1939,theory(equality)]) ).
cnf(1955,plain,
( esk1_0 = n1
| esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n9,succ(n14)),sum(pred(n14),n11)) != sum(n4,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[1912,1940,theory(equality)]) ).
cnf(1958,plain,
( esk1_0 = n1
| esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n0 != sum(n4,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1955,400,theory(equality)]),223,theory(equality)]),384,theory(equality)]),163,theory(equality)]),246,theory(equality)]) ).
cnf(1959,plain,
( esk1_0 = n1
| esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1958,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),306,theory(equality)]) ).
cnf(1960,plain,
( esk1_0 = n1
| esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[1959,theory(equality)]) ).
cnf(1974,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n9,succ(n13)),sum(pred(n13),n11)) != sum(n4,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[1912,1960,theory(equality)]) ).
cnf(1977,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n14 != sum(n4,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1974,401,theory(equality)]),224,theory(equality)]),385,theory(equality)]),179,theory(equality)]),263,theory(equality)]) ).
cnf(1978,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1977,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),308,theory(equality)]) ).
cnf(1979,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1978,theory(equality)]) ).
cnf(1992,plain,
( esk1_0 = n1
| esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n9,succ(n12)),sum(pred(n12),n11)) != sum(n4,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[1912,1979,theory(equality)]) ).
cnf(1995,plain,
( esk1_0 = n1
| esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n12 != sum(n4,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1992,402,theory(equality)]),225,theory(equality)]),386,theory(equality)]),195,theory(equality)]),280,theory(equality)]) ).
cnf(1996,plain,
( esk1_0 = n1
| esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1995,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),310,theory(equality)]) ).
cnf(1997,plain,
( esk1_0 = n1
| esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[1996,theory(equality)]) ).
cnf(2012,plain,
( esk1_0 = n1
| esk1_0 = 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
| sum(sum(n9,succ(n11)),sum(pred(n11),n11)) != sum(n4,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[1912,1997,theory(equality)]) ).
cnf(2015,plain,
( esk1_0 = n1
| esk1_0 = 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
| n10 != sum(n4,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2012,403,theory(equality)]),226,theory(equality)]),387,theory(equality)]),211,theory(equality)]),297,theory(equality)]) ).
cnf(2016,plain,
( esk1_0 = n1
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2015,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),312,theory(equality)]) ).
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
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2016,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
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| sum(sum(n9,succ(n10)),sum(pred(n10),n11)) != sum(n4,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[1912,2017,theory(equality)]) ).
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
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| n8 != sum(n4,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2028,404,theory(equality)]),227,theory(equality)]),388,theory(equality)]),227,theory(equality)]),314,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
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2031,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),314,theory(equality)]) ).
cnf(2033,plain,
( esk1_0 = n1
| esk1_0 = 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
| esk2_0 = n9 ),
inference(cn,[status(thm)],[2032,theory(equality)]) ).
cnf(2043,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n9,succ(n9)),sum(pred(n9),n11)) != sum(n4,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[1912,2033,theory(equality)]) ).
cnf(2046,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| 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 != sum(n4,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2043,405,theory(equality)]),228,theory(equality)]),389,theory(equality)]),243,theory(equality)]),331,theory(equality)]) ).
cnf(2047,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2046,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),316,theory(equality)]) ).
cnf(2048,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2047,theory(equality)]) ).
cnf(2057,plain,
( esk1_0 = n1
| esk1_0 = 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
| sum(sum(n9,succ(n8)),sum(pred(n8),n11)) != sum(n4,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[1912,2048,theory(equality)]) ).
cnf(2060,plain,
( esk1_0 = n1
| esk1_0 = 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
| n4 != sum(n4,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2057,406,theory(equality)]),229,theory(equality)]),390,theory(equality)]),259,theory(equality)]),348,theory(equality)]) ).
cnf(2061,plain,
( esk1_0 = n1
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2060,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),318,theory(equality)]) ).
cnf(2062,plain,
( esk1_0 = n1
| esk1_0 = 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 ),
inference(cn,[status(thm)],[2061,theory(equality)]) ).
cnf(2070,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n9,succ(n7)),sum(pred(n7),n11)) != sum(n4,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[1912,2062,theory(equality)]) ).
cnf(2073,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != sum(n4,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2070,407,theory(equality)]),230,theory(equality)]),391,theory(equality)]),275,theory(equality)]),365,theory(equality)]) ).
cnf(2074,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2073,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),304,theory(equality)]) ).
cnf(2075,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2074,theory(equality)]) ).
cnf(2082,plain,
( esk1_0 = n1
| esk1_0 = 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
| sum(sum(n9,succ(n6)),sum(pred(n6),n11)) != sum(n4,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[1912,2075,theory(equality)]) ).
cnf(2085,plain,
( esk1_0 = n1
| esk1_0 = 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
| n0 != sum(n4,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2082,408,theory(equality)]),231,theory(equality)]),392,theory(equality)]),291,theory(equality)]),382,theory(equality)]) ).
cnf(2086,plain,
( esk1_0 = n1
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2085,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),306,theory(equality)]) ).
cnf(2087,plain,
( esk1_0 = n1
| esk1_0 = 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 ),
inference(cn,[status(thm)],[2086,theory(equality)]) ).
cnf(2093,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n9,succ(n5)),sum(pred(n5),n11)) != sum(n4,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[1912,2087,theory(equality)]) ).
cnf(2096,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n14 != sum(n4,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2093,409,theory(equality)]),232,theory(equality)]),393,theory(equality)]),307,theory(equality)]),127,theory(equality)]) ).
cnf(2097,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2096,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),308,theory(equality)]) ).
cnf(2098,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2097,theory(equality)]) ).
cnf(2103,plain,
( esk1_0 = n1
| esk1_0 = 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
| sum(sum(n9,succ(n4)),sum(pred(n4),n11)) != sum(n4,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[1912,2098,theory(equality)]) ).
cnf(2106,plain,
( esk1_0 = n1
| esk1_0 = 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
| n12 != sum(n4,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2103,410,theory(equality)]),233,theory(equality)]),394,theory(equality)]),323,theory(equality)]),144,theory(equality)]) ).
cnf(2107,plain,
( esk1_0 = n1
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2106,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),310,theory(equality)]) ).
cnf(2108,plain,
( esk1_0 = n1
| esk1_0 = 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 ),
inference(cn,[status(thm)],[2107,theory(equality)]) ).
cnf(2112,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n9,succ(n3)),sum(pred(n3),n11)) != sum(n4,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[1912,2108,theory(equality)]) ).
cnf(2115,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n2
| esk2_0 = n1
| n10 != sum(n4,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2112,411,theory(equality)]),234,theory(equality)]),395,theory(equality)]),339,theory(equality)]),161,theory(equality)]) ).
cnf(2116,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2115,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),312,theory(equality)]) ).
cnf(2117,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2116,theory(equality)]) ).
cnf(2120,plain,
( esk1_0 = n1
| esk1_0 = 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
| sum(sum(n9,succ(n2)),sum(pred(n2),n11)) != sum(n4,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[1912,2117,theory(equality)]) ).
cnf(2123,plain,
( esk1_0 = n1
| esk1_0 = 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
| n8 != sum(n4,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2120,412,theory(equality)]),235,theory(equality)]),396,theory(equality)]),355,theory(equality)]),178,theory(equality)]) ).
cnf(2124,plain,
( esk1_0 = n1
| esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2123,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),314,theory(equality)]) ).
cnf(2125,plain,
( esk1_0 = n1
| esk1_0 = 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(cn,[status(thm)],[2124,theory(equality)]) ).
cnf(2127,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| sum(sum(n9,succ(n1)),sum(pred(n1),n11)) != sum(n4,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[1912,2125,theory(equality)]) ).
cnf(2130,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| n6 != sum(n4,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2127,413,theory(equality)]),236,theory(equality)]),397,theory(equality)]),371,theory(equality)]),195,theory(equality)]) ).
cnf(2131,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2130,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),316,theory(equality)]) ).
cnf(2132,plain,
( esk1_0 = n1
| 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(cn,[status(thm)],[2131,theory(equality)]) ).
cnf(2141,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
| sum(sum(pred(n9),succ(esk2_0)),sum(pred(esk2_0),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,2132,theory(equality)]) ).
cnf(2142,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n9),n1),sum(n15,succ(n9))) != sum(sum(pred(n9),succ(n9)),n0) ),
inference(spm,[status(thm)],[450,2132,theory(equality)]) ).
cnf(2143,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
| sum(sum(n8,succ(esk2_0)),sum(pred(esk2_0),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2141,389,theory(equality)]),405,theory(equality)]) ).
cnf(2144,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
| sum(sum(n8,succ(esk2_0)),sum(pred(esk2_0),n10)) != sum(n2,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2143,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]) ).
cnf(2145,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n2 != sum(sum(pred(n9),succ(n9)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2142,389,theory(equality)]),253,theory(equality)]),405,theory(equality)]),132,theory(equality)]),229,theory(equality)]) ).
cnf(2146,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2145,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),350,theory(equality)]) ).
cnf(2147,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[2146,theory(equality)]) ).
cnf(2167,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n8,succ(n15)),sum(pred(n15),n10)) != sum(n2,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[2144,2147,theory(equality)]) ).
cnf(2170,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n2,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2167,399,theory(equality)]),254,theory(equality)]),383,theory(equality)]),148,theory(equality)]),246,theory(equality)]) ).
cnf(2171,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2170,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),336,theory(equality)]) ).
cnf(2172,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2171,theory(equality)]) ).
cnf(2187,plain,
( esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n8,succ(n14)),sum(pred(n14),n10)) != sum(n2,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[2144,2172,theory(equality)]) ).
cnf(2190,plain,
( esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n14 != sum(n2,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2187,400,theory(equality)]),239,theory(equality)]),384,theory(equality)]),164,theory(equality)]),263,theory(equality)]) ).
cnf(2191,plain,
( esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2190,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),338,theory(equality)]) ).
cnf(2192,plain,
( esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[2191,theory(equality)]) ).
cnf(2206,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n8,succ(n13)),sum(pred(n13),n10)) != sum(n2,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[2144,2192,theory(equality)]) ).
cnf(2209,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n2,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2206,401,theory(equality)]),240,theory(equality)]),385,theory(equality)]),180,theory(equality)]),280,theory(equality)]) ).
cnf(2210,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2209,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),340,theory(equality)]) ).
cnf(2211,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2210,theory(equality)]) ).
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
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n8,succ(n12)),sum(pred(n12),n10)) != sum(n2,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[2144,2211,theory(equality)]) ).
cnf(2227,plain,
( esk1_0 = 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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n10 != sum(n2,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2224,402,theory(equality)]),241,theory(equality)]),386,theory(equality)]),196,theory(equality)]),297,theory(equality)]) ).
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
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2227,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),342,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
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[2228,theory(equality)]) ).
cnf(2244,plain,
( esk1_0 = 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
| sum(sum(n8,succ(n11)),sum(pred(n11),n10)) != sum(n2,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[2144,2229,theory(equality)]) ).
cnf(2247,plain,
( esk1_0 = 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
| n8 != sum(n2,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2244,403,theory(equality)]),242,theory(equality)]),387,theory(equality)]),212,theory(equality)]),314,theory(equality)]) ).
cnf(2248,plain,
( esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2247,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),344,theory(equality)]) ).
cnf(2249,plain,
( esk1_0 = 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(cn,[status(thm)],[2248,theory(equality)]) ).
cnf(2260,plain,
( esk1_0 = 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
| esk2_0 = n9
| sum(sum(n8,succ(n10)),sum(pred(n10),n10)) != sum(n2,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[2144,2249,theory(equality)]) ).
cnf(2263,plain,
( esk1_0 = 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
| esk2_0 = n9
| n6 != sum(n2,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2260,404,theory(equality)]),243,theory(equality)]),388,theory(equality)]),228,theory(equality)]),331,theory(equality)]) ).
cnf(2264,plain,
( esk1_0 = 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
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2263,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),346,theory(equality)]) ).
cnf(2265,plain,
( esk1_0 = 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
| esk2_0 = n9 ),
inference(cn,[status(thm)],[2264,theory(equality)]) ).
cnf(2275,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n8,succ(n9)),sum(pred(n9),n10)) != sum(n2,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[2144,2265,theory(equality)]) ).
cnf(2278,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| 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 != sum(n2,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2275,405,theory(equality)]),244,theory(equality)]),389,theory(equality)]),244,theory(equality)]),348,theory(equality)]) ).
cnf(2279,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2278,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),348,theory(equality)]) ).
cnf(2280,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2279,theory(equality)]) ).
cnf(2289,plain,
( esk1_0 = 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
| sum(sum(n8,succ(n8)),sum(pred(n8),n10)) != sum(n2,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[2144,2280,theory(equality)]) ).
cnf(2292,plain,
( esk1_0 = 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
| n2 != sum(n2,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2289,406,theory(equality)]),245,theory(equality)]),390,theory(equality)]),260,theory(equality)]),365,theory(equality)]) ).
cnf(2293,plain,
( esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2292,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),350,theory(equality)]) ).
cnf(2294,plain,
( esk1_0 = 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 ),
inference(cn,[status(thm)],[2293,theory(equality)]) ).
cnf(2302,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n8,succ(n7)),sum(pred(n7),n10)) != sum(n2,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[2144,2294,theory(equality)]) ).
cnf(2305,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != sum(n2,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2302,407,theory(equality)]),246,theory(equality)]),391,theory(equality)]),276,theory(equality)]),382,theory(equality)]) ).
cnf(2306,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2305,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),336,theory(equality)]) ).
cnf(2307,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2306,theory(equality)]) ).
cnf(2314,plain,
( esk1_0 = 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
| sum(sum(n8,succ(n6)),sum(pred(n6),n10)) != sum(n2,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[2144,2307,theory(equality)]) ).
cnf(2317,plain,
( esk1_0 = 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
| n14 != sum(n2,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2314,408,theory(equality)]),247,theory(equality)]),392,theory(equality)]),292,theory(equality)]),127,theory(equality)]) ).
cnf(2318,plain,
( esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2317,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),338,theory(equality)]) ).
cnf(2319,plain,
( esk1_0 = 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 ),
inference(cn,[status(thm)],[2318,theory(equality)]) ).
cnf(2325,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n8,succ(n5)),sum(pred(n5),n10)) != sum(n2,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[2144,2319,theory(equality)]) ).
cnf(2328,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n2,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2325,409,theory(equality)]),248,theory(equality)]),393,theory(equality)]),308,theory(equality)]),144,theory(equality)]) ).
cnf(2329,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2328,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),340,theory(equality)]) ).
cnf(2330,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2329,theory(equality)]) ).
cnf(2335,plain,
( esk1_0 = 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
| sum(sum(n8,succ(n4)),sum(pred(n4),n10)) != sum(n2,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[2144,2330,theory(equality)]) ).
cnf(2338,plain,
( esk1_0 = 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
| n10 != sum(n2,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2335,410,theory(equality)]),249,theory(equality)]),394,theory(equality)]),324,theory(equality)]),161,theory(equality)]) ).
cnf(2339,plain,
( esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2338,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),342,theory(equality)]) ).
cnf(2340,plain,
( esk1_0 = 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 ),
inference(cn,[status(thm)],[2339,theory(equality)]) ).
cnf(2344,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n8,succ(n3)),sum(pred(n3),n10)) != sum(n2,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[2144,2340,theory(equality)]) ).
cnf(2347,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n2
| esk2_0 = n1
| n8 != sum(n2,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2344,411,theory(equality)]),250,theory(equality)]),395,theory(equality)]),340,theory(equality)]),178,theory(equality)]) ).
cnf(2348,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2347,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),344,theory(equality)]) ).
cnf(2349,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2348,theory(equality)]) ).
cnf(2352,plain,
( esk1_0 = 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
| sum(sum(n8,succ(n2)),sum(pred(n2),n10)) != sum(n2,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[2144,2349,theory(equality)]) ).
cnf(2355,plain,
( esk1_0 = 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
| n6 != sum(n2,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2352,412,theory(equality)]),251,theory(equality)]),396,theory(equality)]),356,theory(equality)]),195,theory(equality)]) ).
cnf(2356,plain,
( esk1_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2355,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),346,theory(equality)]) ).
cnf(2357,plain,
( esk1_0 = 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(cn,[status(thm)],[2356,theory(equality)]) ).
cnf(2359,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| sum(sum(n8,succ(n1)),sum(pred(n1),n10)) != sum(n2,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[2144,2357,theory(equality)]) ).
cnf(2362,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| n4 != sum(n2,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2359,413,theory(equality)]),252,theory(equality)]),397,theory(equality)]),372,theory(equality)]),212,theory(equality)]) ).
cnf(2363,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2362,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),348,theory(equality)]) ).
cnf(2364,plain,
( 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(cn,[status(thm)],[2363,theory(equality)]) ).
cnf(2372,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n8),succ(esk2_0)),sum(pred(esk2_0),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,2364,theory(equality)]) ).
cnf(2373,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n8),n1),sum(n15,succ(n8))) != sum(sum(pred(n8),succ(n8)),n0) ),
inference(spm,[status(thm)],[450,2364,theory(equality)]) ).
cnf(2374,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n7,succ(esk2_0)),sum(pred(esk2_0),n9)) != sum(sum(pred(n8),succ(n8)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2372,390,theory(equality)]),406,theory(equality)]) ).
cnf(2375,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n7,succ(esk2_0)),sum(pred(esk2_0),n9)) != sum(n0,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2374,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]) ).
cnf(2376,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n0 != sum(sum(pred(n8),succ(n8)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2373,390,theory(equality)]),269,theory(equality)]),406,theory(equality)]),133,theory(equality)]),246,theory(equality)]) ).
cnf(2377,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2376,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),382,theory(equality)]) ).
cnf(2378,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[2377,theory(equality)]) ).
cnf(2398,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n7,succ(n15)),sum(pred(n15),n9)) != sum(n0,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[2375,2378,theory(equality)]) ).
cnf(2401,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n14 != sum(n0,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2398,399,theory(equality)]),270,theory(equality)]),383,theory(equality)]),149,theory(equality)]),263,theory(equality)]) ).
cnf(2402,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2401,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),368,theory(equality)]) ).
cnf(2403,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2402,theory(equality)]) ).
cnf(2418,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n7,succ(n14)),sum(pred(n14),n9)) != sum(n0,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[2375,2403,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
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n12 != sum(n0,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2418,400,theory(equality)]),255,theory(equality)]),384,theory(equality)]),165,theory(equality)]),280,theory(equality)]) ).
cnf(2422,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2421,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),370,theory(equality)]) ).
cnf(2423,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[2422,theory(equality)]) ).
cnf(2437,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n7,succ(n13)),sum(pred(n13),n9)) != sum(n0,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[2375,2423,theory(equality)]) ).
cnf(2440,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n0,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2437,401,theory(equality)]),256,theory(equality)]),385,theory(equality)]),181,theory(equality)]),297,theory(equality)]) ).
cnf(2441,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2440,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),372,theory(equality)]) ).
cnf(2442,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2441,theory(equality)]) ).
cnf(2455,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n7,succ(n12)),sum(pred(n12),n9)) != sum(n0,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[2375,2442,theory(equality)]) ).
cnf(2458,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n8 != sum(n0,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2455,402,theory(equality)]),257,theory(equality)]),386,theory(equality)]),197,theory(equality)]),314,theory(equality)]) ).
cnf(2459,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2458,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),374,theory(equality)]) ).
cnf(2460,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[2459,theory(equality)]) ).
cnf(2472,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
| sum(sum(n7,succ(n11)),sum(pred(n11),n9)) != sum(n0,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[2375,2460,theory(equality)]) ).
cnf(2475,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
| n6 != sum(n0,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2472,403,theory(equality)]),258,theory(equality)]),387,theory(equality)]),213,theory(equality)]),331,theory(equality)]) ).
cnf(2476,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2475,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),376,theory(equality)]) ).
cnf(2477,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 ),
inference(cn,[status(thm)],[2476,theory(equality)]) ).
cnf(2492,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
| esk2_0 = n9
| sum(sum(n7,succ(n10)),sum(pred(n10),n9)) != sum(n0,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[2375,2477,theory(equality)]) ).
cnf(2495,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
| esk2_0 = n9
| n4 != sum(n0,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2492,404,theory(equality)]),259,theory(equality)]),388,theory(equality)]),229,theory(equality)]),348,theory(equality)]) ).
cnf(2496,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
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2495,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),378,theory(equality)]) ).
cnf(2497,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
| esk2_0 = n9 ),
inference(cn,[status(thm)],[2496,theory(equality)]) ).
cnf(2507,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n7,succ(n9)),sum(pred(n9),n9)) != sum(n0,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[2375,2497,theory(equality)]) ).
cnf(2510,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| 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 != sum(n0,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2507,405,theory(equality)]),260,theory(equality)]),389,theory(equality)]),245,theory(equality)]),365,theory(equality)]) ).
cnf(2511,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2510,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),380,theory(equality)]) ).
cnf(2512,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2511,theory(equality)]) ).
cnf(2521,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
| sum(sum(n7,succ(n8)),sum(pred(n8),n9)) != sum(n0,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[2375,2512,theory(equality)]) ).
cnf(2524,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
| n0 != sum(n0,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2521,406,theory(equality)]),261,theory(equality)]),390,theory(equality)]),261,theory(equality)]),382,theory(equality)]) ).
cnf(2525,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2524,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),382,theory(equality)]) ).
cnf(2526,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 ),
inference(cn,[status(thm)],[2525,theory(equality)]) ).
cnf(2534,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n7,succ(n7)),sum(pred(n7),n9)) != sum(n0,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[2375,2526,theory(equality)]) ).
cnf(2537,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n14 != sum(n0,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2534,407,theory(equality)]),262,theory(equality)]),391,theory(equality)]),277,theory(equality)]),127,theory(equality)]) ).
cnf(2538,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2537,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),368,theory(equality)]) ).
cnf(2539,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2538,theory(equality)]) ).
cnf(2546,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
| sum(sum(n7,succ(n6)),sum(pred(n6),n9)) != sum(n0,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[2375,2539,theory(equality)]) ).
cnf(2549,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
| n12 != sum(n0,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2546,408,theory(equality)]),263,theory(equality)]),392,theory(equality)]),293,theory(equality)]),144,theory(equality)]) ).
cnf(2550,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2549,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),370,theory(equality)]) ).
cnf(2551,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 ),
inference(cn,[status(thm)],[2550,theory(equality)]) ).
cnf(2557,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n7,succ(n5)),sum(pred(n5),n9)) != sum(n0,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[2375,2551,theory(equality)]) ).
cnf(2560,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != sum(n0,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2557,409,theory(equality)]),264,theory(equality)]),393,theory(equality)]),309,theory(equality)]),161,theory(equality)]) ).
cnf(2561,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2560,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),372,theory(equality)]) ).
cnf(2562,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2561,theory(equality)]) ).
cnf(2567,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
| sum(sum(n7,succ(n4)),sum(pred(n4),n9)) != sum(n0,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[2375,2562,theory(equality)]) ).
cnf(2570,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
| n8 != sum(n0,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2567,410,theory(equality)]),265,theory(equality)]),394,theory(equality)]),325,theory(equality)]),178,theory(equality)]) ).
cnf(2571,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2570,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),374,theory(equality)]) ).
cnf(2572,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 ),
inference(cn,[status(thm)],[2571,theory(equality)]) ).
cnf(2576,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n7,succ(n3)),sum(pred(n3),n9)) != sum(n0,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[2375,2572,theory(equality)]) ).
cnf(2579,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n2
| esk2_0 = n1
| n6 != sum(n0,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2576,411,theory(equality)]),266,theory(equality)]),395,theory(equality)]),341,theory(equality)]),195,theory(equality)]) ).
cnf(2580,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2579,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),376,theory(equality)]) ).
cnf(2581,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2580,theory(equality)]) ).
cnf(2584,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
| sum(sum(n7,succ(n2)),sum(pred(n2),n9)) != sum(n0,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[2375,2581,theory(equality)]) ).
cnf(2587,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
| n4 != sum(n0,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2584,412,theory(equality)]),267,theory(equality)]),396,theory(equality)]),357,theory(equality)]),212,theory(equality)]) ).
cnf(2588,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2587,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),378,theory(equality)]) ).
cnf(2589,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(cn,[status(thm)],[2588,theory(equality)]) ).
cnf(2591,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| sum(sum(n7,succ(n1)),sum(pred(n1),n9)) != sum(n0,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[2375,2589,theory(equality)]) ).
cnf(2594,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| n2 != sum(n0,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2591,413,theory(equality)]),268,theory(equality)]),397,theory(equality)]),373,theory(equality)]),229,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2594,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),380,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 ),
inference(cn,[status(thm)],[2595,theory(equality)]) ).
cnf(2603,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n7),succ(esk2_0)),sum(pred(esk2_0),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,2596,theory(equality)]) ).
cnf(2604,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n7),n1),sum(n15,succ(n7))) != sum(sum(pred(n7),succ(n7)),n0) ),
inference(spm,[status(thm)],[450,2596,theory(equality)]) ).
cnf(2605,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n6,succ(esk2_0)),sum(pred(esk2_0),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2603,391,theory(equality)]),407,theory(equality)]) ).
cnf(2606,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n6,succ(esk2_0)),sum(pred(esk2_0),n8)) != sum(n14,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2605,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]) ).
cnf(2607,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n14 != sum(sum(pred(n7),succ(n7)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2604,391,theory(equality)]),285,theory(equality)]),407,theory(equality)]),134,theory(equality)]),263,theory(equality)]) ).
cnf(2608,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2607,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),158,theory(equality)]) ).
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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[2608,theory(equality)]) ).
cnf(2629,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n6,succ(n15)),sum(pred(n15),n8)) != sum(n14,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[2606,2609,theory(equality)]) ).
cnf(2632,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n14,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2629,399,theory(equality)]),286,theory(equality)]),383,theory(equality)]),150,theory(equality)]),280,theory(equality)]) ).
cnf(2633,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2632,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),144,theory(equality)]) ).
cnf(2634,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2633,theory(equality)]) ).
cnf(2649,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n6,succ(n14)),sum(pred(n14),n8)) != sum(n14,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[2606,2634,theory(equality)]) ).
cnf(2652,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n10 != sum(n14,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2649,400,theory(equality)]),271,theory(equality)]),384,theory(equality)]),166,theory(equality)]),297,theory(equality)]) ).
cnf(2653,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2652,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),146,theory(equality)]) ).
cnf(2654,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[2653,theory(equality)]) ).
cnf(2668,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n6,succ(n13)),sum(pred(n13),n8)) != sum(n14,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[2606,2654,theory(equality)]) ).
cnf(2671,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n14,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2668,401,theory(equality)]),272,theory(equality)]),385,theory(equality)]),182,theory(equality)]),314,theory(equality)]) ).
cnf(2672,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2671,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),148,theory(equality)]) ).
cnf(2673,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2672,theory(equality)]) ).
cnf(2686,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n6,succ(n12)),sum(pred(n12),n8)) != sum(n14,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[2606,2673,theory(equality)]) ).
cnf(2689,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n6 != sum(n14,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2686,402,theory(equality)]),273,theory(equality)]),386,theory(equality)]),198,theory(equality)]),331,theory(equality)]) ).
cnf(2690,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2689,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),150,theory(equality)]) ).
cnf(2691,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[2690,theory(equality)]) ).
cnf(2703,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
| sum(sum(n6,succ(n11)),sum(pred(n11),n8)) != sum(n14,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[2606,2691,theory(equality)]) ).
cnf(2706,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
| n4 != sum(n14,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2703,403,theory(equality)]),274,theory(equality)]),387,theory(equality)]),214,theory(equality)]),348,theory(equality)]) ).
cnf(2707,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2706,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),152,theory(equality)]) ).
cnf(2708,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 ),
inference(cn,[status(thm)],[2707,theory(equality)]) ).
cnf(2719,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
| esk2_0 = n9
| sum(sum(n6,succ(n10)),sum(pred(n10),n8)) != sum(n14,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[2606,2708,theory(equality)]) ).
cnf(2722,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
| esk2_0 = n9
| n2 != sum(n14,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2719,404,theory(equality)]),275,theory(equality)]),388,theory(equality)]),230,theory(equality)]),365,theory(equality)]) ).
cnf(2723,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
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2722,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),154,theory(equality)]) ).
cnf(2724,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
| esk2_0 = n9 ),
inference(cn,[status(thm)],[2723,theory(equality)]) ).
cnf(2734,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n6,succ(n9)),sum(pred(n9),n8)) != sum(n14,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[2606,2724,theory(equality)]) ).
cnf(2737,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| 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 != sum(n14,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2734,405,theory(equality)]),276,theory(equality)]),389,theory(equality)]),246,theory(equality)]),382,theory(equality)]) ).
cnf(2738,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2737,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),156,theory(equality)]) ).
cnf(2739,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2738,theory(equality)]) ).
cnf(2754,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
| sum(sum(n6,succ(n8)),sum(pred(n8),n8)) != sum(n14,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[2606,2739,theory(equality)]) ).
cnf(2757,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
| n14 != sum(n14,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2754,406,theory(equality)]),277,theory(equality)]),390,theory(equality)]),262,theory(equality)]),127,theory(equality)]) ).
cnf(2758,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2757,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),158,theory(equality)]) ).
cnf(2759,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 ),
inference(cn,[status(thm)],[2758,theory(equality)]) ).
cnf(2767,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n6,succ(n7)),sum(pred(n7),n8)) != sum(n14,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[2606,2759,theory(equality)]) ).
cnf(2770,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n14,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2767,407,theory(equality)]),278,theory(equality)]),391,theory(equality)]),278,theory(equality)]),144,theory(equality)]) ).
cnf(2771,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2770,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),144,theory(equality)]) ).
cnf(2772,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2771,theory(equality)]) ).
cnf(2779,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
| sum(sum(n6,succ(n6)),sum(pred(n6),n8)) != sum(n14,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[2606,2772,theory(equality)]) ).
cnf(2782,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
| n10 != sum(n14,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2779,408,theory(equality)]),279,theory(equality)]),392,theory(equality)]),294,theory(equality)]),161,theory(equality)]) ).
cnf(2783,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2782,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),146,theory(equality)]) ).
cnf(2784,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 ),
inference(cn,[status(thm)],[2783,theory(equality)]) ).
cnf(2790,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n6,succ(n5)),sum(pred(n5),n8)) != sum(n14,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[2606,2784,theory(equality)]) ).
cnf(2793,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n8 != sum(n14,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2790,409,theory(equality)]),280,theory(equality)]),393,theory(equality)]),310,theory(equality)]),178,theory(equality)]) ).
cnf(2794,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2793,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),148,theory(equality)]) ).
cnf(2795,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2794,theory(equality)]) ).
cnf(2800,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
| sum(sum(n6,succ(n4)),sum(pred(n4),n8)) != sum(n14,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[2606,2795,theory(equality)]) ).
cnf(2803,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
| n6 != sum(n14,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2800,410,theory(equality)]),281,theory(equality)]),394,theory(equality)]),326,theory(equality)]),195,theory(equality)]) ).
cnf(2804,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2803,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),150,theory(equality)]) ).
cnf(2805,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 ),
inference(cn,[status(thm)],[2804,theory(equality)]) ).
cnf(2809,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n6,succ(n3)),sum(pred(n3),n8)) != sum(n14,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[2606,2805,theory(equality)]) ).
cnf(2812,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n2
| esk2_0 = n1
| n4 != sum(n14,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2809,411,theory(equality)]),282,theory(equality)]),395,theory(equality)]),342,theory(equality)]),212,theory(equality)]) ).
cnf(2813,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2812,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),152,theory(equality)]) ).
cnf(2814,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2813,theory(equality)]) ).
cnf(2817,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| sum(sum(n6,succ(n2)),sum(pred(n2),n8)) != sum(n14,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[2606,2814,theory(equality)]) ).
cnf(2820,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| n2 != sum(n14,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2817,412,theory(equality)]),283,theory(equality)]),396,theory(equality)]),358,theory(equality)]),229,theory(equality)]) ).
cnf(2821,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2820,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),154,theory(equality)]) ).
cnf(2822,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2821,theory(equality)]) ).
cnf(2824,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| sum(sum(n6,succ(n1)),sum(pred(n1),n8)) != sum(n14,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[2606,2822,theory(equality)]) ).
cnf(2827,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| n0 != sum(n14,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2824,413,theory(equality)]),284,theory(equality)]),397,theory(equality)]),374,theory(equality)]),246,theory(equality)]) ).
cnf(2828,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2827,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),156,theory(equality)]) ).
cnf(2829,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(cn,[status(thm)],[2828,theory(equality)]) ).
cnf(2845,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n6),succ(esk2_0)),sum(pred(esk2_0),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,2829,theory(equality)]) ).
cnf(2846,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n6),n1),sum(n15,succ(n6))) != sum(sum(pred(n6),succ(n6)),n0) ),
inference(spm,[status(thm)],[450,2829,theory(equality)]) ).
cnf(2847,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n5,succ(esk2_0)),sum(pred(esk2_0),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2845,392,theory(equality)]),408,theory(equality)]) ).
cnf(2848,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n5,succ(esk2_0)),sum(pred(esk2_0),n7)) != sum(n12,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2847,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]) ).
cnf(2849,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n12 != sum(sum(pred(n6),succ(n6)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2846,392,theory(equality)]),301,theory(equality)]),408,theory(equality)]),135,theory(equality)]),280,theory(equality)]) ).
cnf(2850,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2849,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),190,theory(equality)]) ).
cnf(2851,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[2850,theory(equality)]) ).
cnf(2870,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n5,succ(n15)),sum(pred(n15),n7)) != sum(n12,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[2848,2851,theory(equality)]) ).
cnf(2874,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n12,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2870,399,theory(equality)]),302,theory(equality)]),383,theory(equality)]),151,theory(equality)]),297,theory(equality)]) ).
cnf(2875,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2874,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),176,theory(equality)]) ).
cnf(2876,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2875,theory(equality)]) ).
cnf(2891,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n5,succ(n14)),sum(pred(n14),n7)) != sum(n12,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[2848,2876,theory(equality)]) ).
cnf(2894,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n8 != sum(n12,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2891,400,theory(equality)]),287,theory(equality)]),384,theory(equality)]),167,theory(equality)]),314,theory(equality)]) ).
cnf(2895,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2894,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),178,theory(equality)]) ).
cnf(2896,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[2895,theory(equality)]) ).
cnf(2910,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n5,succ(n13)),sum(pred(n13),n7)) != sum(n12,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[2848,2896,theory(equality)]) ).
cnf(2913,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n12,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2910,401,theory(equality)]),288,theory(equality)]),385,theory(equality)]),183,theory(equality)]),331,theory(equality)]) ).
cnf(2914,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2913,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),180,theory(equality)]) ).
cnf(2915,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2914,theory(equality)]) ).
cnf(2928,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n5,succ(n12)),sum(pred(n12),n7)) != sum(n12,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[2848,2915,theory(equality)]) ).
cnf(2931,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n4 != sum(n12,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2928,402,theory(equality)]),289,theory(equality)]),386,theory(equality)]),199,theory(equality)]),348,theory(equality)]) ).
cnf(2932,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2931,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),182,theory(equality)]) ).
cnf(2933,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[2932,theory(equality)]) ).
cnf(2945,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
| sum(sum(n5,succ(n11)),sum(pred(n11),n7)) != sum(n12,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[2848,2933,theory(equality)]) ).
cnf(2948,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
| n2 != sum(n12,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2945,403,theory(equality)]),290,theory(equality)]),387,theory(equality)]),215,theory(equality)]),365,theory(equality)]) ).
cnf(2949,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2948,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),184,theory(equality)]) ).
cnf(2950,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 ),
inference(cn,[status(thm)],[2949,theory(equality)]) ).
cnf(2961,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
| esk2_0 = n9
| sum(sum(n5,succ(n10)),sum(pred(n10),n7)) != sum(n12,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[2848,2950,theory(equality)]) ).
cnf(2964,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
| esk2_0 = n9
| n0 != sum(n12,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2961,404,theory(equality)]),291,theory(equality)]),388,theory(equality)]),231,theory(equality)]),382,theory(equality)]) ).
cnf(2965,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
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2964,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),186,theory(equality)]) ).
cnf(2966,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
| esk2_0 = n9 ),
inference(cn,[status(thm)],[2965,theory(equality)]) ).
cnf(2976,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n5,succ(n9)),sum(pred(n9),n7)) != sum(n12,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[2848,2966,theory(equality)]) ).
cnf(2979,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n14 != sum(n12,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2976,405,theory(equality)]),292,theory(equality)]),389,theory(equality)]),247,theory(equality)]),127,theory(equality)]) ).
cnf(2980,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2979,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),188,theory(equality)]) ).
cnf(2981,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[2980,theory(equality)]) ).
cnf(2990,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
| sum(sum(n5,succ(n8)),sum(pred(n8),n7)) != sum(n12,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[2848,2981,theory(equality)]) ).
cnf(2993,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
| n12 != sum(n12,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2990,406,theory(equality)]),293,theory(equality)]),390,theory(equality)]),263,theory(equality)]),144,theory(equality)]) ).
cnf(2994,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2993,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),190,theory(equality)]) ).
cnf(2995,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 ),
inference(cn,[status(thm)],[2994,theory(equality)]) ).
cnf(3003,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n5,succ(n7)),sum(pred(n7),n7)) != sum(n12,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[2848,2995,theory(equality)]) ).
cnf(3006,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != sum(n12,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3003,407,theory(equality)]),294,theory(equality)]),391,theory(equality)]),279,theory(equality)]),161,theory(equality)]) ).
cnf(3007,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3006,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),176,theory(equality)]) ).
cnf(3008,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3007,theory(equality)]) ).
cnf(3023,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
| sum(sum(n5,succ(n6)),sum(pred(n6),n7)) != sum(n12,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[2848,3008,theory(equality)]) ).
cnf(3026,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
| n8 != sum(n12,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3023,408,theory(equality)]),295,theory(equality)]),392,theory(equality)]),295,theory(equality)]),178,theory(equality)]) ).
cnf(3027,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3026,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),178,theory(equality)]) ).
cnf(3028,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 ),
inference(cn,[status(thm)],[3027,theory(equality)]) ).
cnf(3034,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n5,succ(n5)),sum(pred(n5),n7)) != sum(n12,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[2848,3028,theory(equality)]) ).
cnf(3037,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != sum(n12,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3034,409,theory(equality)]),296,theory(equality)]),393,theory(equality)]),311,theory(equality)]),195,theory(equality)]) ).
cnf(3038,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3037,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),180,theory(equality)]) ).
cnf(3039,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3038,theory(equality)]) ).
cnf(3044,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
| sum(sum(n5,succ(n4)),sum(pred(n4),n7)) != sum(n12,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[2848,3039,theory(equality)]) ).
cnf(3047,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
| n4 != sum(n12,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3044,410,theory(equality)]),297,theory(equality)]),394,theory(equality)]),327,theory(equality)]),212,theory(equality)]) ).
cnf(3048,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3047,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),182,theory(equality)]) ).
cnf(3049,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 ),
inference(cn,[status(thm)],[3048,theory(equality)]) ).
cnf(3053,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n5,succ(n3)),sum(pred(n3),n7)) != sum(n12,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[2848,3049,theory(equality)]) ).
cnf(3056,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n2
| esk2_0 = n1
| n2 != sum(n12,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3053,411,theory(equality)]),298,theory(equality)]),395,theory(equality)]),343,theory(equality)]),229,theory(equality)]) ).
cnf(3057,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3056,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),184,theory(equality)]) ).
cnf(3058,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3057,theory(equality)]) ).
cnf(3061,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| sum(sum(n5,succ(n2)),sum(pred(n2),n7)) != sum(n12,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[2848,3058,theory(equality)]) ).
cnf(3064,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| n0 != sum(n12,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3061,412,theory(equality)]),299,theory(equality)]),396,theory(equality)]),359,theory(equality)]),246,theory(equality)]) ).
cnf(3065,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3064,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),186,theory(equality)]) ).
cnf(3066,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3065,theory(equality)]) ).
cnf(3068,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| sum(sum(n5,succ(n1)),sum(pred(n1),n7)) != sum(n12,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[2848,3066,theory(equality)]) ).
cnf(3071,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| n14 != sum(n12,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3068,413,theory(equality)]),300,theory(equality)]),397,theory(equality)]),375,theory(equality)]),263,theory(equality)]) ).
cnf(3072,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3071,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),188,theory(equality)]) ).
cnf(3073,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(cn,[status(thm)],[3072,theory(equality)]) ).
cnf(3078,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n5),succ(esk2_0)),sum(pred(esk2_0),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,3073,theory(equality)]) ).
cnf(3079,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n5),n1),sum(n15,succ(n5))) != sum(sum(pred(n5),succ(n5)),n0) ),
inference(spm,[status(thm)],[450,3073,theory(equality)]) ).
cnf(3080,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n4,succ(esk2_0)),sum(pred(esk2_0),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3078,393,theory(equality)]),409,theory(equality)]) ).
cnf(3081,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n4,succ(esk2_0)),sum(pred(esk2_0),n6)) != sum(n10,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3080,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]) ).
cnf(3082,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n10 != sum(sum(pred(n5),succ(n5)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3079,393,theory(equality)]),317,theory(equality)]),409,theory(equality)]),136,theory(equality)]),297,theory(equality)]) ).
cnf(3083,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3082,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),222,theory(equality)]) ).
cnf(3084,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[3083,theory(equality)]) ).
cnf(3104,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n4,succ(n15)),sum(pred(n15),n6)) != sum(n10,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[3081,3084,theory(equality)]) ).
cnf(3107,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n10,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3104,399,theory(equality)]),318,theory(equality)]),383,theory(equality)]),152,theory(equality)]),314,theory(equality)]) ).
cnf(3108,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3107,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),208,theory(equality)]) ).
cnf(3109,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3108,theory(equality)]) ).
cnf(3124,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n4,succ(n14)),sum(pred(n14),n6)) != sum(n10,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[3081,3109,theory(equality)]) ).
cnf(3127,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n6 != sum(n10,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3124,400,theory(equality)]),303,theory(equality)]),384,theory(equality)]),168,theory(equality)]),331,theory(equality)]) ).
cnf(3128,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3127,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),210,theory(equality)]) ).
cnf(3129,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[3128,theory(equality)]) ).
cnf(3143,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n4,succ(n13)),sum(pred(n13),n6)) != sum(n10,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[3081,3129,theory(equality)]) ).
cnf(3146,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n10,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3143,401,theory(equality)]),304,theory(equality)]),385,theory(equality)]),184,theory(equality)]),348,theory(equality)]) ).
cnf(3147,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3146,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),212,theory(equality)]) ).
cnf(3148,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3147,theory(equality)]) ).
cnf(3161,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n4,succ(n12)),sum(pred(n12),n6)) != sum(n10,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[3081,3148,theory(equality)]) ).
cnf(3164,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n2 != sum(n10,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3161,402,theory(equality)]),305,theory(equality)]),386,theory(equality)]),200,theory(equality)]),365,theory(equality)]) ).
cnf(3165,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3164,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),214,theory(equality)]) ).
cnf(3166,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[3165,theory(equality)]) ).
cnf(3178,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
| sum(sum(n4,succ(n11)),sum(pred(n11),n6)) != sum(n10,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[3081,3166,theory(equality)]) ).
cnf(3181,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
| n0 != sum(n10,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3178,403,theory(equality)]),306,theory(equality)]),387,theory(equality)]),216,theory(equality)]),382,theory(equality)]) ).
cnf(3182,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3181,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),216,theory(equality)]) ).
cnf(3183,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 ),
inference(cn,[status(thm)],[3182,theory(equality)]) ).
cnf(3198,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
| esk2_0 = n9
| sum(sum(n4,succ(n10)),sum(pred(n10),n6)) != sum(n10,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[3081,3183,theory(equality)]) ).
cnf(3201,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
| esk2_0 = n9
| n14 != sum(n10,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3198,404,theory(equality)]),307,theory(equality)]),388,theory(equality)]),232,theory(equality)]),127,theory(equality)]) ).
cnf(3202,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
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3201,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),218,theory(equality)]) ).
cnf(3203,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
| esk2_0 = n9 ),
inference(cn,[status(thm)],[3202,theory(equality)]) ).
cnf(3213,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n4,succ(n9)),sum(pred(n9),n6)) != sum(n10,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[3081,3203,theory(equality)]) ).
cnf(3216,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n10,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3213,405,theory(equality)]),308,theory(equality)]),389,theory(equality)]),248,theory(equality)]),144,theory(equality)]) ).
cnf(3217,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3216,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),220,theory(equality)]) ).
cnf(3218,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3217,theory(equality)]) ).
cnf(3227,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
| sum(sum(n4,succ(n8)),sum(pred(n8),n6)) != sum(n10,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[3081,3218,theory(equality)]) ).
cnf(3230,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
| n10 != sum(n10,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3227,406,theory(equality)]),309,theory(equality)]),390,theory(equality)]),264,theory(equality)]),161,theory(equality)]) ).
cnf(3231,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3230,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),222,theory(equality)]) ).
cnf(3232,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 ),
inference(cn,[status(thm)],[3231,theory(equality)]) ).
cnf(3240,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n4,succ(n7)),sum(pred(n7),n6)) != sum(n10,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[3081,3232,theory(equality)]) ).
cnf(3243,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n8 != sum(n10,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3240,407,theory(equality)]),310,theory(equality)]),391,theory(equality)]),280,theory(equality)]),178,theory(equality)]) ).
cnf(3244,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3243,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),208,theory(equality)]) ).
cnf(3245,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3244,theory(equality)]) ).
cnf(3252,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
| sum(sum(n4,succ(n6)),sum(pred(n6),n6)) != sum(n10,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[3081,3245,theory(equality)]) ).
cnf(3255,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
| n6 != sum(n10,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3252,408,theory(equality)]),311,theory(equality)]),392,theory(equality)]),296,theory(equality)]),195,theory(equality)]) ).
cnf(3256,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3255,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),210,theory(equality)]) ).
cnf(3257,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 ),
inference(cn,[status(thm)],[3256,theory(equality)]) ).
cnf(3263,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n4,succ(n5)),sum(pred(n5),n6)) != sum(n10,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[3081,3257,theory(equality)]) ).
cnf(3266,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n4 != sum(n10,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3263,409,theory(equality)]),312,theory(equality)]),393,theory(equality)]),312,theory(equality)]),212,theory(equality)]) ).
cnf(3267,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3266,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),212,theory(equality)]) ).
cnf(3268,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3267,theory(equality)]) ).
cnf(3273,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| sum(sum(n4,succ(n4)),sum(pred(n4),n6)) != sum(n10,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[3081,3268,theory(equality)]) ).
cnf(3276,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| n2 != sum(n10,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3273,410,theory(equality)]),313,theory(equality)]),394,theory(equality)]),328,theory(equality)]),229,theory(equality)]) ).
cnf(3277,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3276,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),214,theory(equality)]) ).
cnf(3278,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[3277,theory(equality)]) ).
cnf(3282,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n4,succ(n3)),sum(pred(n3),n6)) != sum(n10,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[3081,3278,theory(equality)]) ).
cnf(3285,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n2
| esk2_0 = n1
| n0 != sum(n10,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3282,411,theory(equality)]),314,theory(equality)]),395,theory(equality)]),344,theory(equality)]),246,theory(equality)]) ).
cnf(3286,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3285,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),216,theory(equality)]) ).
cnf(3287,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3286,theory(equality)]) ).
cnf(3290,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| sum(sum(n4,succ(n2)),sum(pred(n2),n6)) != sum(n10,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[3081,3287,theory(equality)]) ).
cnf(3293,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| n14 != sum(n10,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3290,412,theory(equality)]),315,theory(equality)]),396,theory(equality)]),360,theory(equality)]),263,theory(equality)]) ).
cnf(3294,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3293,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),218,theory(equality)]) ).
cnf(3295,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3294,theory(equality)]) ).
cnf(3297,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| sum(sum(n4,succ(n1)),sum(pred(n1),n6)) != sum(n10,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[3081,3295,theory(equality)]) ).
cnf(3300,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| n12 != sum(n10,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3297,413,theory(equality)]),316,theory(equality)]),397,theory(equality)]),376,theory(equality)]),280,theory(equality)]) ).
cnf(3301,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3300,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),220,theory(equality)]) ).
cnf(3302,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(cn,[status(thm)],[3301,theory(equality)]) ).
cnf(3306,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n4),succ(esk2_0)),sum(pred(esk2_0),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,3302,theory(equality)]) ).
cnf(3307,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n4),n1),sum(n15,succ(n4))) != sum(sum(pred(n4),succ(n4)),n0) ),
inference(spm,[status(thm)],[450,3302,theory(equality)]) ).
cnf(3308,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n3,succ(esk2_0)),sum(pred(esk2_0),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3306,394,theory(equality)]),410,theory(equality)]) ).
cnf(3309,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n3,succ(esk2_0)),sum(pred(esk2_0),n5)) != sum(n8,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3308,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]) ).
cnf(3310,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n8 != sum(sum(pred(n4),succ(n4)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3307,394,theory(equality)]),333,theory(equality)]),410,theory(equality)]),137,theory(equality)]),314,theory(equality)]) ).
cnf(3311,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3310,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),254,theory(equality)]) ).
cnf(3312,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[3311,theory(equality)]) ).
cnf(3331,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n3,succ(n15)),sum(pred(n15),n5)) != sum(n8,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[3309,3312,theory(equality)]) ).
cnf(3335,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n8,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3331,399,theory(equality)]),334,theory(equality)]),383,theory(equality)]),153,theory(equality)]),331,theory(equality)]) ).
cnf(3336,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3335,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),240,theory(equality)]) ).
cnf(3337,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3336,theory(equality)]) ).
cnf(3352,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n3,succ(n14)),sum(pred(n14),n5)) != sum(n8,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[3309,3337,theory(equality)]) ).
cnf(3355,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n4 != sum(n8,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3352,400,theory(equality)]),319,theory(equality)]),384,theory(equality)]),169,theory(equality)]),348,theory(equality)]) ).
cnf(3356,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3355,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),242,theory(equality)]) ).
cnf(3357,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[3356,theory(equality)]) ).
cnf(3371,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n3,succ(n13)),sum(pred(n13),n5)) != sum(n8,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[3309,3357,theory(equality)]) ).
cnf(3374,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n8,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3371,401,theory(equality)]),320,theory(equality)]),385,theory(equality)]),185,theory(equality)]),365,theory(equality)]) ).
cnf(3375,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3374,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),244,theory(equality)]) ).
cnf(3376,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3375,theory(equality)]) ).
cnf(3389,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n3,succ(n12)),sum(pred(n12),n5)) != sum(n8,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[3309,3376,theory(equality)]) ).
cnf(3392,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n0 != sum(n8,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3389,402,theory(equality)]),321,theory(equality)]),386,theory(equality)]),201,theory(equality)]),382,theory(equality)]) ).
cnf(3393,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3392,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),246,theory(equality)]) ).
cnf(3394,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[3393,theory(equality)]) ).
cnf(3406,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
| sum(sum(n3,succ(n11)),sum(pred(n11),n5)) != sum(n8,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[3309,3394,theory(equality)]) ).
cnf(3409,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
| n14 != sum(n8,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3406,403,theory(equality)]),322,theory(equality)]),387,theory(equality)]),217,theory(equality)]),127,theory(equality)]) ).
cnf(3410,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3409,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),248,theory(equality)]) ).
cnf(3411,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 ),
inference(cn,[status(thm)],[3410,theory(equality)]) ).
cnf(3422,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
| esk2_0 = n9
| sum(sum(n3,succ(n10)),sum(pred(n10),n5)) != sum(n8,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[3309,3411,theory(equality)]) ).
cnf(3425,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
| esk2_0 = n9
| n12 != sum(n8,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3422,404,theory(equality)]),323,theory(equality)]),388,theory(equality)]),233,theory(equality)]),144,theory(equality)]) ).
cnf(3426,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
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3425,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),250,theory(equality)]) ).
cnf(3427,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
| esk2_0 = n9 ),
inference(cn,[status(thm)],[3426,theory(equality)]) ).
cnf(3437,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n3,succ(n9)),sum(pred(n9),n5)) != sum(n8,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[3309,3427,theory(equality)]) ).
cnf(3440,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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 != sum(n8,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3437,405,theory(equality)]),324,theory(equality)]),389,theory(equality)]),249,theory(equality)]),161,theory(equality)]) ).
cnf(3441,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3440,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),252,theory(equality)]) ).
cnf(3442,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3441,theory(equality)]) ).
cnf(3451,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
| sum(sum(n3,succ(n8)),sum(pred(n8),n5)) != sum(n8,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[3309,3442,theory(equality)]) ).
cnf(3454,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
| n8 != sum(n8,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3451,406,theory(equality)]),325,theory(equality)]),390,theory(equality)]),265,theory(equality)]),178,theory(equality)]) ).
cnf(3455,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3454,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),254,theory(equality)]) ).
cnf(3456,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 ),
inference(cn,[status(thm)],[3455,theory(equality)]) ).
cnf(3464,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n3,succ(n7)),sum(pred(n7),n5)) != sum(n8,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[3309,3456,theory(equality)]) ).
cnf(3467,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != sum(n8,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3464,407,theory(equality)]),326,theory(equality)]),391,theory(equality)]),281,theory(equality)]),195,theory(equality)]) ).
cnf(3468,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3467,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),240,theory(equality)]) ).
cnf(3469,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3468,theory(equality)]) ).
cnf(3484,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
| sum(sum(n3,succ(n6)),sum(pred(n6),n5)) != sum(n8,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[3309,3469,theory(equality)]) ).
cnf(3487,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
| n4 != sum(n8,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3484,408,theory(equality)]),327,theory(equality)]),392,theory(equality)]),297,theory(equality)]),212,theory(equality)]) ).
cnf(3488,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3487,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),242,theory(equality)]) ).
cnf(3489,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 ),
inference(cn,[status(thm)],[3488,theory(equality)]) ).
cnf(3495,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n3,succ(n5)),sum(pred(n5),n5)) != sum(n8,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[3309,3489,theory(equality)]) ).
cnf(3498,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != sum(n8,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3495,409,theory(equality)]),328,theory(equality)]),393,theory(equality)]),313,theory(equality)]),229,theory(equality)]) ).
cnf(3499,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3498,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),244,theory(equality)]) ).
cnf(3500,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3499,theory(equality)]) ).
cnf(3505,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| sum(sum(n3,succ(n4)),sum(pred(n4),n5)) != sum(n8,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[3309,3500,theory(equality)]) ).
cnf(3508,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| n0 != sum(n8,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3505,410,theory(equality)]),329,theory(equality)]),394,theory(equality)]),329,theory(equality)]),246,theory(equality)]) ).
cnf(3509,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3508,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),246,theory(equality)]) ).
cnf(3510,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[3509,theory(equality)]) ).
cnf(3514,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n3,succ(n3)),sum(pred(n3),n5)) != sum(n8,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[3309,3510,theory(equality)]) ).
cnf(3517,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n14 != sum(n8,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3514,411,theory(equality)]),330,theory(equality)]),395,theory(equality)]),345,theory(equality)]),263,theory(equality)]) ).
cnf(3518,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3517,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),248,theory(equality)]) ).
cnf(3519,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3518,theory(equality)]) ).
cnf(3522,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| sum(sum(n3,succ(n2)),sum(pred(n2),n5)) != sum(n8,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[3309,3519,theory(equality)]) ).
cnf(3525,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| n12 != sum(n8,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3522,412,theory(equality)]),331,theory(equality)]),396,theory(equality)]),361,theory(equality)]),280,theory(equality)]) ).
cnf(3526,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3525,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),250,theory(equality)]) ).
cnf(3527,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3526,theory(equality)]) ).
cnf(3529,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| sum(sum(n3,succ(n1)),sum(pred(n1),n5)) != sum(n8,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[3309,3527,theory(equality)]) ).
cnf(3532,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| n10 != sum(n8,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3529,413,theory(equality)]),332,theory(equality)]),397,theory(equality)]),377,theory(equality)]),297,theory(equality)]) ).
cnf(3533,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3532,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),252,theory(equality)]) ).
cnf(3534,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(cn,[status(thm)],[3533,theory(equality)]) ).
cnf(3537,plain,
( esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n3),succ(esk2_0)),sum(pred(esk2_0),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,3534,theory(equality)]) ).
cnf(3538,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n3),n1),sum(n15,succ(n3))) != sum(sum(pred(n3),succ(n3)),n0) ),
inference(spm,[status(thm)],[450,3534,theory(equality)]) ).
cnf(3539,plain,
( esk1_0 = n2
| esk1_0 = n1
| sum(sum(n2,succ(esk2_0)),sum(pred(esk2_0),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3537,395,theory(equality)]),411,theory(equality)]) ).
cnf(3540,plain,
( esk1_0 = n2
| esk1_0 = n1
| sum(sum(n2,succ(esk2_0)),sum(pred(esk2_0),n4)) != sum(n6,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3539,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]) ).
cnf(3541,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n2
| esk1_0 = n1
| n6 != sum(sum(pred(n3),succ(n3)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3538,395,theory(equality)]),349,theory(equality)]),411,theory(equality)]),138,theory(equality)]),331,theory(equality)]) ).
cnf(3542,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3541,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),286,theory(equality)]) ).
cnf(3543,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[3542,theory(equality)]) ).
cnf(3563,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n15)),sum(pred(n15),n4)) != sum(n6,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[3540,3543,theory(equality)]) ).
cnf(3566,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n6,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3563,399,theory(equality)]),350,theory(equality)]),383,theory(equality)]),154,theory(equality)]),348,theory(equality)]) ).
cnf(3567,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3566,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),272,theory(equality)]) ).
cnf(3568,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3567,theory(equality)]) ).
cnf(3583,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n2,succ(n14)),sum(pred(n14),n4)) != sum(n6,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[3540,3568,theory(equality)]) ).
cnf(3586,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n2 != sum(n6,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3583,400,theory(equality)]),335,theory(equality)]),384,theory(equality)]),170,theory(equality)]),365,theory(equality)]) ).
cnf(3587,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3586,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),274,theory(equality)]) ).
cnf(3588,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[3587,theory(equality)]) ).
cnf(3602,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n13)),sum(pred(n13),n4)) != sum(n6,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[3540,3588,theory(equality)]) ).
cnf(3605,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n6,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3602,401,theory(equality)]),336,theory(equality)]),385,theory(equality)]),186,theory(equality)]),382,theory(equality)]) ).
cnf(3606,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3605,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),276,theory(equality)]) ).
cnf(3607,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3606,theory(equality)]) ).
cnf(3620,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n2,succ(n12)),sum(pred(n12),n4)) != sum(n6,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[3540,3607,theory(equality)]) ).
cnf(3623,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n14 != sum(n6,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3620,402,theory(equality)]),337,theory(equality)]),386,theory(equality)]),202,theory(equality)]),127,theory(equality)]) ).
cnf(3624,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3623,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),278,theory(equality)]) ).
cnf(3625,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[3624,theory(equality)]) ).
cnf(3637,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
| sum(sum(n2,succ(n11)),sum(pred(n11),n4)) != sum(n6,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[3540,3625,theory(equality)]) ).
cnf(3640,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
| n12 != sum(n6,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3637,403,theory(equality)]),338,theory(equality)]),387,theory(equality)]),218,theory(equality)]),144,theory(equality)]) ).
cnf(3641,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3640,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),280,theory(equality)]) ).
cnf(3642,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 ),
inference(cn,[status(thm)],[3641,theory(equality)]) ).
cnf(3653,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
| esk2_0 = n9
| sum(sum(n2,succ(n10)),sum(pred(n10),n4)) != sum(n6,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[3540,3642,theory(equality)]) ).
cnf(3656,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
| esk2_0 = n9
| n10 != sum(n6,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3653,404,theory(equality)]),339,theory(equality)]),388,theory(equality)]),234,theory(equality)]),161,theory(equality)]) ).
cnf(3657,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
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3656,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),282,theory(equality)]) ).
cnf(3658,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
| esk2_0 = n9 ),
inference(cn,[status(thm)],[3657,theory(equality)]) ).
cnf(3668,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n9)),sum(pred(n9),n4)) != sum(n6,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[3540,3658,theory(equality)]) ).
cnf(3671,plain,
( esk1_0 = n1
| esk1_0 = n2
| 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 != sum(n6,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3668,405,theory(equality)]),340,theory(equality)]),389,theory(equality)]),250,theory(equality)]),178,theory(equality)]) ).
cnf(3672,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3671,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),284,theory(equality)]) ).
cnf(3673,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3672,theory(equality)]) ).
cnf(3688,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
| sum(sum(n2,succ(n8)),sum(pred(n8),n4)) != sum(n6,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[3540,3673,theory(equality)]) ).
cnf(3691,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
| n6 != sum(n6,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3688,406,theory(equality)]),341,theory(equality)]),390,theory(equality)]),266,theory(equality)]),195,theory(equality)]) ).
cnf(3692,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3691,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),286,theory(equality)]) ).
cnf(3693,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 ),
inference(cn,[status(thm)],[3692,theory(equality)]) ).
cnf(3701,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n7)),sum(pred(n7),n4)) != sum(n6,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[3540,3693,theory(equality)]) ).
cnf(3704,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n4 != sum(n6,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3701,407,theory(equality)]),342,theory(equality)]),391,theory(equality)]),282,theory(equality)]),212,theory(equality)]) ).
cnf(3705,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3704,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),272,theory(equality)]) ).
cnf(3706,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3705,theory(equality)]) ).
cnf(3713,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| sum(sum(n2,succ(n6)),sum(pred(n6),n4)) != sum(n6,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[3540,3706,theory(equality)]) ).
cnf(3716,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| n2 != sum(n6,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3713,408,theory(equality)]),343,theory(equality)]),392,theory(equality)]),298,theory(equality)]),229,theory(equality)]) ).
cnf(3717,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3716,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),274,theory(equality)]) ).
cnf(3718,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[3717,theory(equality)]) ).
cnf(3724,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n5)),sum(pred(n5),n4)) != sum(n6,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[3540,3718,theory(equality)]) ).
cnf(3727,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != sum(n6,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3724,409,theory(equality)]),344,theory(equality)]),393,theory(equality)]),314,theory(equality)]),246,theory(equality)]) ).
cnf(3728,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3727,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),276,theory(equality)]) ).
cnf(3729,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3728,theory(equality)]) ).
cnf(3734,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| sum(sum(n2,succ(n4)),sum(pred(n4),n4)) != sum(n6,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[3540,3729,theory(equality)]) ).
cnf(3737,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| n14 != sum(n6,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3734,410,theory(equality)]),345,theory(equality)]),394,theory(equality)]),330,theory(equality)]),263,theory(equality)]) ).
cnf(3738,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3737,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),278,theory(equality)]) ).
cnf(3739,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[3738,theory(equality)]) ).
cnf(3743,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n3)),sum(pred(n3),n4)) != sum(n6,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[3540,3739,theory(equality)]) ).
cnf(3746,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n6,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3743,411,theory(equality)]),346,theory(equality)]),395,theory(equality)]),346,theory(equality)]),280,theory(equality)]) ).
cnf(3747,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3746,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),280,theory(equality)]) ).
cnf(3748,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3747,theory(equality)]) ).
cnf(3751,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n2)),sum(pred(n2),n4)) != sum(n6,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[3540,3748,theory(equality)]) ).
cnf(3754,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| n10 != sum(n6,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3751,412,theory(equality)]),347,theory(equality)]),396,theory(equality)]),362,theory(equality)]),297,theory(equality)]) ).
cnf(3755,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3754,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),282,theory(equality)]) ).
cnf(3756,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3755,theory(equality)]) ).
cnf(3758,plain,
( esk1_0 = n1
| esk1_0 = n2
| sum(sum(n2,succ(n1)),sum(pred(n1),n4)) != sum(n6,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[3540,3756,theory(equality)]) ).
cnf(3761,plain,
( esk1_0 = n1
| esk1_0 = n2
| n8 != sum(n6,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3758,413,theory(equality)]),348,theory(equality)]),397,theory(equality)]),378,theory(equality)]),314,theory(equality)]) ).
cnf(3762,plain,
( esk1_0 = n1
| esk1_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3761,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),284,theory(equality)]) ).
cnf(3763,plain,
( esk1_0 = n1
| esk1_0 = n2 ),
inference(cn,[status(thm)],[3762,theory(equality)]) ).
cnf(3771,plain,
( esk1_0 = n1
| sum(sum(pred(n2),succ(esk2_0)),sum(pred(esk2_0),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[124,3763,theory(equality)]) ).
cnf(3772,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| sum(sum(pred(n2),n1),sum(n15,succ(n2))) != sum(sum(pred(n2),succ(n2)),n0) ),
inference(spm,[status(thm)],[450,3763,theory(equality)]) ).
cnf(3773,plain,
( esk1_0 = n1
| sum(sum(n1,succ(esk2_0)),sum(pred(esk2_0),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3771,396,theory(equality)]),412,theory(equality)]) ).
cnf(3774,plain,
( esk1_0 = n1
| sum(sum(n1,succ(esk2_0)),sum(pred(esk2_0),n3)) != sum(n4,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3773,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]) ).
cnf(3775,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| n4 != sum(sum(pred(n2),succ(n2)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3772,396,theory(equality)]),365,theory(equality)]),412,theory(equality)]),139,theory(equality)]),348,theory(equality)]) ).
cnf(3776,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3775,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),318,theory(equality)]) ).
cnf(3777,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1 ),
inference(cn,[status(thm)],[3776,theory(equality)]) ).
cnf(3797,plain,
( esk1_0 = n1
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n1,succ(n15)),sum(pred(n15),n3)) != sum(n4,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[3774,3777,theory(equality)]) ).
cnf(3800,plain,
( esk1_0 = n1
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n4,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3797,399,theory(equality)]),366,theory(equality)]),383,theory(equality)]),155,theory(equality)]),365,theory(equality)]) ).
cnf(3801,plain,
( esk1_0 = n1
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3800,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),304,theory(equality)]) ).
cnf(3802,plain,
( esk1_0 = n1
| esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3801,theory(equality)]) ).
cnf(3817,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n1,succ(n14)),sum(pred(n14),n3)) != sum(n4,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[3774,3802,theory(equality)]) ).
cnf(3820,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n0 != sum(n4,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3817,400,theory(equality)]),351,theory(equality)]),384,theory(equality)]),171,theory(equality)]),382,theory(equality)]) ).
cnf(3821,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3820,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),306,theory(equality)]) ).
cnf(3822,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[3821,theory(equality)]) ).
cnf(3836,plain,
( esk1_0 = n1
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n1,succ(n13)),sum(pred(n13),n3)) != sum(n4,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[3774,3822,theory(equality)]) ).
cnf(3839,plain,
( esk1_0 = n1
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n14 != sum(n4,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3836,401,theory(equality)]),352,theory(equality)]),385,theory(equality)]),187,theory(equality)]),127,theory(equality)]) ).
cnf(3840,plain,
( esk1_0 = n1
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3839,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),308,theory(equality)]) ).
cnf(3841,plain,
( esk1_0 = n1
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3840,theory(equality)]) ).
cnf(3854,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| sum(sum(n1,succ(n12)),sum(pred(n12),n3)) != sum(n4,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[3774,3841,theory(equality)]) ).
cnf(3857,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| n12 != sum(n4,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3854,402,theory(equality)]),353,theory(equality)]),386,theory(equality)]),203,theory(equality)]),144,theory(equality)]) ).
cnf(3858,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3857,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),310,theory(equality)]) ).
cnf(3859,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
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(cn,[status(thm)],[3858,theory(equality)]) ).
cnf(3871,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
| sum(sum(n1,succ(n11)),sum(pred(n11),n3)) != sum(n4,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[3774,3859,theory(equality)]) ).
cnf(3874,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
| n10 != sum(n4,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3871,403,theory(equality)]),354,theory(equality)]),387,theory(equality)]),219,theory(equality)]),161,theory(equality)]) ).
cnf(3875,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3874,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),312,theory(equality)]) ).
cnf(3876,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 ),
inference(cn,[status(thm)],[3875,theory(equality)]) ).
cnf(3891,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
| esk2_0 = n9
| sum(sum(n1,succ(n10)),sum(pred(n10),n3)) != sum(n4,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[3774,3876,theory(equality)]) ).
cnf(3894,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
| esk2_0 = n9
| n8 != sum(n4,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3891,404,theory(equality)]),355,theory(equality)]),388,theory(equality)]),235,theory(equality)]),178,theory(equality)]) ).
cnf(3895,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
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3894,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),314,theory(equality)]) ).
cnf(3896,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
| esk2_0 = n9 ),
inference(cn,[status(thm)],[3895,theory(equality)]) ).
cnf(3906,plain,
( esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n1,succ(n9)),sum(pred(n9),n3)) != sum(n4,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[3774,3896,theory(equality)]) ).
cnf(3909,plain,
( esk1_0 = n1
| 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 != sum(n4,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3906,405,theory(equality)]),356,theory(equality)]),389,theory(equality)]),251,theory(equality)]),195,theory(equality)]) ).
cnf(3910,plain,
( esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3909,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),316,theory(equality)]) ).
cnf(3911,plain,
( esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3910,theory(equality)]) ).
cnf(3920,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
| sum(sum(n1,succ(n8)),sum(pred(n8),n3)) != sum(n4,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[3774,3911,theory(equality)]) ).
cnf(3923,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
| n4 != sum(n4,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3920,406,theory(equality)]),357,theory(equality)]),390,theory(equality)]),267,theory(equality)]),212,theory(equality)]) ).
cnf(3924,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3923,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),318,theory(equality)]) ).
cnf(3925,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 ),
inference(cn,[status(thm)],[3924,theory(equality)]) ).
cnf(3933,plain,
( esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n1,succ(n7)),sum(pred(n7),n3)) != sum(n4,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[3774,3925,theory(equality)]) ).
cnf(3936,plain,
( esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != sum(n4,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3933,407,theory(equality)]),358,theory(equality)]),391,theory(equality)]),283,theory(equality)]),229,theory(equality)]) ).
cnf(3937,plain,
( esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3936,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),304,theory(equality)]) ).
cnf(3938,plain,
( esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3937,theory(equality)]) ).
cnf(3945,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| sum(sum(n1,succ(n6)),sum(pred(n6),n3)) != sum(n4,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[3774,3938,theory(equality)]) ).
cnf(3948,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| n0 != sum(n4,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3945,408,theory(equality)]),359,theory(equality)]),392,theory(equality)]),299,theory(equality)]),246,theory(equality)]) ).
cnf(3949,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3948,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),306,theory(equality)]) ).
cnf(3950,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[3949,theory(equality)]) ).
cnf(3956,plain,
( esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n1,succ(n5)),sum(pred(n5),n3)) != sum(n4,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[3774,3950,theory(equality)]) ).
cnf(3959,plain,
( esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n14 != sum(n4,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3956,409,theory(equality)]),360,theory(equality)]),393,theory(equality)]),315,theory(equality)]),263,theory(equality)]) ).
cnf(3960,plain,
( esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3959,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),308,theory(equality)]) ).
cnf(3961,plain,
( esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3960,theory(equality)]) ).
cnf(3966,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| sum(sum(n1,succ(n4)),sum(pred(n4),n3)) != sum(n4,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[3774,3961,theory(equality)]) ).
cnf(3969,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| n12 != sum(n4,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3966,410,theory(equality)]),361,theory(equality)]),394,theory(equality)]),331,theory(equality)]),280,theory(equality)]) ).
cnf(3970,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3969,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),310,theory(equality)]) ).
cnf(3971,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[3970,theory(equality)]) ).
cnf(3975,plain,
( esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n1,succ(n3)),sum(pred(n3),n3)) != sum(n4,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[3774,3971,theory(equality)]) ).
cnf(3978,plain,
( esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1
| n10 != sum(n4,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3975,411,theory(equality)]),362,theory(equality)]),395,theory(equality)]),347,theory(equality)]),297,theory(equality)]) ).
cnf(3979,plain,
( esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3978,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),312,theory(equality)]) ).
cnf(3980,plain,
( esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3979,theory(equality)]) ).
cnf(3983,plain,
( esk1_0 = n1
| esk2_0 = n1
| sum(sum(n1,succ(n2)),sum(pred(n2),n3)) != sum(n4,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[3774,3980,theory(equality)]) ).
cnf(3986,plain,
( esk1_0 = n1
| esk2_0 = n1
| n8 != sum(n4,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3983,412,theory(equality)]),363,theory(equality)]),396,theory(equality)]),363,theory(equality)]),314,theory(equality)]) ).
cnf(3987,plain,
( esk1_0 = n1
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3986,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),314,theory(equality)]) ).
cnf(3988,plain,
( esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[3987,theory(equality)]) ).
cnf(3990,plain,
( esk1_0 = n1
| sum(sum(n1,succ(n1)),sum(pred(n1),n3)) != sum(n4,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[3774,3988,theory(equality)]) ).
cnf(3993,plain,
( esk1_0 = n1
| n6 != sum(n4,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3990,413,theory(equality)]),364,theory(equality)]),397,theory(equality)]),379,theory(equality)]),331,theory(equality)]) ).
cnf(3994,plain,
( esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3993,397,theory(equality)]),413,theory(equality)]),380,theory(equality)]),316,theory(equality)]) ).
cnf(3995,plain,
esk1_0 = n1,
inference(cn,[status(thm)],[3994,theory(equality)]) ).
cnf(3996,plain,
sum(sum(n0,succ(esk2_0)),sum(pred(esk2_0),n2)) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[124,3995,theory(equality)]),397,theory(equality)]),3995,theory(equality)]),413,theory(equality)]) ).
cnf(3997,plain,
sum(sum(n0,succ(esk2_0)),sum(pred(esk2_0),n2)) != sum(n2,sum(pred(esk2_0),succ(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3996,3995,theory(equality)]),397,theory(equality)]),3995,theory(equality)]),413,theory(equality)]),380,theory(equality)]) ).
cnf(4002,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| n2 != sum(sum(pred(esk1_0),succ(esk1_0)),n0) ),
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)],[450,3995,theory(equality)]),397,theory(equality)]),381,theory(equality)]),3995,theory(equality)]),413,theory(equality)]),140,theory(equality)]),365,theory(equality)]) ).
cnf(4003,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4002,3995,theory(equality)]),397,theory(equality)]),3995,theory(equality)]),413,theory(equality)]),380,theory(equality)]),350,theory(equality)]) ).
cnf(4004,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15 ),
inference(cn,[status(thm)],[4003,theory(equality)]) ).
cnf(4023,plain,
( esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n0,succ(n15)),sum(pred(n15),n2)) != sum(n2,sum(pred(n15),succ(n15))) ),
inference(spm,[status(thm)],[3997,4004,theory(equality)]) ).
cnf(4024,plain,
( esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| 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 != sum(n2,sum(pred(n15),succ(n15))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4023,399,theory(equality)]),382,theory(equality)]),383,theory(equality)]),156,theory(equality)]),382,theory(equality)]) ).
cnf(4025,plain,
( esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4024,383,theory(equality)]),399,theory(equality)]),158,theory(equality)]),336,theory(equality)]) ).
cnf(4026,plain,
( esk2_0 = n14
| esk2_0 = n13
| esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[4025,theory(equality)]) ).
cnf(4040,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| sum(sum(n0,succ(n14)),sum(pred(n14),n2)) != sum(n2,sum(pred(n14),succ(n14))) ),
inference(spm,[status(thm)],[3997,4026,theory(equality)]) ).
cnf(4041,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| n14 != sum(n2,sum(pred(n14),succ(n14))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4040,400,theory(equality)]),367,theory(equality)]),384,theory(equality)]),172,theory(equality)]),127,theory(equality)]) ).
cnf(4042,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4041,384,theory(equality)]),400,theory(equality)]),159,theory(equality)]),338,theory(equality)]) ).
cnf(4043,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
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(cn,[status(thm)],[4042,theory(equality)]) ).
cnf(4056,plain,
( esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n0,succ(n13)),sum(pred(n13),n2)) != sum(n2,sum(pred(n13),succ(n13))) ),
inference(spm,[status(thm)],[3997,4043,theory(equality)]) ).
cnf(4057,plain,
( esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n2,sum(pred(n13),succ(n13))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4056,401,theory(equality)]),368,theory(equality)]),385,theory(equality)]),188,theory(equality)]),144,theory(equality)]) ).
cnf(4058,plain,
( esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4057,385,theory(equality)]),401,theory(equality)]),176,theory(equality)]),340,theory(equality)]) ).
cnf(4059,plain,
( esk2_0 = n12
| esk2_0 = n11
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[4058,theory(equality)]) ).
cnf(4071,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
| esk2_0 = n11
| sum(sum(n0,succ(n12)),sum(pred(n12),n2)) != sum(n2,sum(pred(n12),succ(n12))) ),
inference(spm,[status(thm)],[3997,4059,theory(equality)]) ).
cnf(4072,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
| esk2_0 = n11
| n10 != sum(n2,sum(pred(n12),succ(n12))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4071,402,theory(equality)]),369,theory(equality)]),386,theory(equality)]),204,theory(equality)]),161,theory(equality)]) ).
cnf(4073,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
| esk2_0 = n11
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4072,386,theory(equality)]),402,theory(equality)]),193,theory(equality)]),342,theory(equality)]) ).
cnf(4074,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
| esk2_0 = n11 ),
inference(cn,[status(thm)],[4073,theory(equality)]) ).
cnf(4085,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
| sum(sum(n0,succ(n11)),sum(pred(n11),n2)) != sum(n2,sum(pred(n11),succ(n11))) ),
inference(spm,[status(thm)],[3997,4074,theory(equality)]) ).
cnf(4086,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
| n8 != sum(n2,sum(pred(n11),succ(n11))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4085,403,theory(equality)]),370,theory(equality)]),387,theory(equality)]),220,theory(equality)]),178,theory(equality)]) ).
cnf(4087,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4086,387,theory(equality)]),403,theory(equality)]),210,theory(equality)]),344,theory(equality)]) ).
cnf(4088,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 ),
inference(cn,[status(thm)],[4087,theory(equality)]) ).
cnf(4098,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
| sum(sum(n0,succ(n10)),sum(pred(n10),n2)) != sum(n2,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[3997,4088,theory(equality)]) ).
cnf(4099,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
| n6 != sum(n2,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4098,404,theory(equality)]),371,theory(equality)]),388,theory(equality)]),236,theory(equality)]),195,theory(equality)]) ).
cnf(4100,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4099,388,theory(equality)]),404,theory(equality)]),227,theory(equality)]),346,theory(equality)]) ).
cnf(4101,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 ),
inference(cn,[status(thm)],[4100,theory(equality)]) ).
cnf(4110,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
| sum(sum(n0,succ(n9)),sum(pred(n9),n2)) != sum(n2,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[3997,4101,theory(equality)]) ).
cnf(4111,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
| n4 != sum(n2,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4110,405,theory(equality)]),372,theory(equality)]),389,theory(equality)]),252,theory(equality)]),212,theory(equality)]) ).
cnf(4112,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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4111,389,theory(equality)]),405,theory(equality)]),244,theory(equality)]),348,theory(equality)]) ).
cnf(4113,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 ),
inference(cn,[status(thm)],[4112,theory(equality)]) ).
cnf(4121,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| sum(sum(n0,succ(n8)),sum(pred(n8),n2)) != sum(n2,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[3997,4113,theory(equality)]) ).
cnf(4122,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| n2 != sum(n2,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4121,406,theory(equality)]),373,theory(equality)]),390,theory(equality)]),268,theory(equality)]),229,theory(equality)]) ).
cnf(4123,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4122,390,theory(equality)]),406,theory(equality)]),261,theory(equality)]),350,theory(equality)]) ).
cnf(4124,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[4123,theory(equality)]) ).
cnf(4131,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n0,succ(n7)),sum(pred(n7),n2)) != sum(n2,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[3997,4124,theory(equality)]) ).
cnf(4132,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != sum(n2,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4131,407,theory(equality)]),374,theory(equality)]),391,theory(equality)]),284,theory(equality)]),246,theory(equality)]) ).
cnf(4133,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4132,391,theory(equality)]),407,theory(equality)]),278,theory(equality)]),336,theory(equality)]) ).
cnf(4134,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[4133,theory(equality)]) ).
cnf(4140,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| sum(sum(n0,succ(n6)),sum(pred(n6),n2)) != sum(n2,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[3997,4134,theory(equality)]) ).
cnf(4141,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| n14 != sum(n2,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4140,408,theory(equality)]),375,theory(equality)]),392,theory(equality)]),300,theory(equality)]),263,theory(equality)]) ).
cnf(4142,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4141,392,theory(equality)]),408,theory(equality)]),295,theory(equality)]),338,theory(equality)]) ).
cnf(4143,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[4142,theory(equality)]) ).
cnf(4148,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n0,succ(n5)),sum(pred(n5),n2)) != sum(n2,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[3997,4143,theory(equality)]) ).
cnf(4149,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n12 != sum(n2,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4148,409,theory(equality)]),376,theory(equality)]),393,theory(equality)]),316,theory(equality)]),280,theory(equality)]) ).
cnf(4150,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4149,393,theory(equality)]),409,theory(equality)]),312,theory(equality)]),340,theory(equality)]) ).
cnf(4151,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[4150,theory(equality)]) ).
cnf(4155,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| sum(sum(n0,succ(n4)),sum(pred(n4),n2)) != sum(n2,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[3997,4151,theory(equality)]) ).
cnf(4156,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| n10 != sum(n2,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4155,410,theory(equality)]),377,theory(equality)]),394,theory(equality)]),332,theory(equality)]),297,theory(equality)]) ).
cnf(4157,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4156,394,theory(equality)]),410,theory(equality)]),329,theory(equality)]),342,theory(equality)]) ).
cnf(4158,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[4157,theory(equality)]) ).
cnf(4161,plain,
( esk2_0 = n2
| esk2_0 = n1
| sum(sum(n0,succ(n3)),sum(pred(n3),n2)) != sum(n2,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[3997,4158,theory(equality)]) ).
cnf(4162,plain,
( esk2_0 = n2
| esk2_0 = n1
| n8 != sum(n2,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4161,411,theory(equality)]),378,theory(equality)]),395,theory(equality)]),348,theory(equality)]),314,theory(equality)]) ).
cnf(4163,plain,
( esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4162,395,theory(equality)]),411,theory(equality)]),346,theory(equality)]),344,theory(equality)]) ).
cnf(4164,plain,
( esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[4163,theory(equality)]) ).
cnf(4166,plain,
( esk2_0 = n1
| sum(sum(n0,succ(n2)),sum(pred(n2),n2)) != sum(n2,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[3997,4164,theory(equality)]) ).
cnf(4167,plain,
( esk2_0 = n1
| n6 != sum(n2,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4166,412,theory(equality)]),379,theory(equality)]),396,theory(equality)]),364,theory(equality)]),331,theory(equality)]) ).
cnf(4168,plain,
( esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4167,396,theory(equality)]),412,theory(equality)]),363,theory(equality)]),346,theory(equality)]) ).
cnf(4169,plain,
esk2_0 = n1,
inference(cn,[status(thm)],[4168,theory(equality)]) ).
cnf(4170,plain,
n4 != sum(n2,sum(pred(esk2_0),succ(esk2_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)],[3997,4169,theory(equality)]),413,theory(equality)]),380,theory(equality)]),4169,theory(equality)]),397,theory(equality)]),380,theory(equality)]),348,theory(equality)]) ).
cnf(4171,plain,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4170,4169,theory(equality)]),397,theory(equality)]),4169,theory(equality)]),413,theory(equality)]),380,theory(equality)]),348,theory(equality)]) ).
cnf(4172,plain,
$false,
inference(cn,[status(thm)],[4171,theory(equality)]) ).
cnf(4173,plain,
$false,
4172,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM376+1.015 : TPTP v7.0.0. Released v3.2.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.24 % Computer : n118.star.cs.uiowa.edu
% 0.02/0.24 % Model : x86_64 x86_64
% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24 % Memory : 32218.625MB
% 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24 % CPULimit : 300
% 0.02/0.24 % DateTime : Fri Jan 5 02:12:15 CST 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 --creating new selector for []
% 0.34/0.83 -running prover on /export/starexec/sandbox/tmp/tmpcrZBLy/sel_theBenchmark.p_1 with time limit 29
% 0.34/0.83 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpcrZBLy/sel_theBenchmark.p_1']
% 0.34/0.83 -prover status Unsatisfiable
% 0.34/0.83 Problem theBenchmark.p solved in phase 0.
% 0.34/0.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/0.83 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/0.83 Solved 1 out of 1.
% 0.34/0.83 # Problem is unsatisfiable (or provable), constructing proof object
% 0.34/0.83 # SZS status Unsatisfiable
% 0.34/0.83 # SZS output start CNFRefutation.
% See solution above
% 0.34/0.84 # SZS output end CNFRefutation
%------------------------------------------------------------------------------