TSTP Solution File: NUM375+1.015 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM375+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 : n095.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 15:02:13 EST 2018
% Result : Unsatisfiable 0.36s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : None (Could not find formula named 17))
% Syntax : Number of formulae : 1111
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
? [X1,X2,X3] :
( 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(X3,sum(pred(sum(X1,succ(X2))),sum(X2,pred(sum(X1,X2)))))
& ~ 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(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/sandbox2/tmp/tmpuquNKN/sel_theBenchmark.p_1',try_satisfy_this) ).
fof(2,plain,
? [X4,X5,X6] :
( 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(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(X5,n0)
| equal(X5,n1)
| equal(X5,n2)
| equal(X5,n3)
| equal(X5,n4)
| equal(X5,n5)
| equal(X5,n6)
| equal(X5,n7)
| equal(X5,n8)
| equal(X5,n9)
| equal(X5,n10)
| equal(X5,n11)
| equal(X5,n12)
| equal(X5,n13)
| equal(X5,n14)
| equal(X5,n15) )
& equal(X6,sum(pred(sum(X4,succ(X5))),sum(X5,pred(sum(X4,X5)))))
& ~ equal(X6,n0)
& ~ equal(X6,n1)
& ~ equal(X6,n2)
& ~ equal(X6,n3)
& ~ equal(X6,n4)
& ~ equal(X6,n5)
& ~ equal(X6,n6)
& ~ equal(X6,n7)
& ~ equal(X6,n8)
& ~ equal(X6,n9)
& ~ equal(X6,n10)
& ~ equal(X6,n11)
& ~ equal(X6,n12)
& ~ equal(X6,n13)
& ~ equal(X6,n14)
& ~ equal(X6,n15)
& ~ 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(esk3_0,sum(pred(sum(esk1_0,succ(esk2_0))),sum(esk2_0,pred(sum(esk1_0,esk2_0)))))
& ~ equal(esk3_0,n0)
& ~ equal(esk3_0,n1)
& ~ equal(esk3_0,n2)
& ~ equal(esk3_0,n3)
& ~ equal(esk3_0,n4)
& ~ equal(esk3_0,n5)
& ~ equal(esk3_0,n6)
& ~ equal(esk3_0,n7)
& ~ equal(esk3_0,n8)
& ~ equal(esk3_0,n9)
& ~ equal(esk3_0,n10)
& ~ equal(esk3_0,n11)
& ~ equal(esk3_0,n12)
& ~ equal(esk3_0,n13)
& ~ equal(esk3_0,n14)
& ~ equal(esk3_0,n15)
& ~ 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,
esk3_0 != n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(125,plain,
esk3_0 != n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(126,plain,
esk3_0 != n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(127,plain,
esk3_0 != n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(128,plain,
esk3_0 != n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(129,plain,
esk3_0 != n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(130,plain,
esk3_0 != n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(131,plain,
esk3_0 != n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(132,plain,
esk3_0 != n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(133,plain,
esk3_0 != n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(134,plain,
esk3_0 != n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(135,plain,
esk3_0 != n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(136,plain,
esk3_0 != n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(137,plain,
esk3_0 != n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(138,plain,
esk3_0 != n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(139,plain,
esk3_0 != n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(140,plain,
esk3_0 = sum(pred(sum(esk1_0,succ(esk2_0))),sum(esk2_0,pred(sum(esk1_0,esk2_0)))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(141,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(142,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(143,plain,
sum(n15,n15) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(144,plain,
sum(n15,n14) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(145,plain,
sum(n15,n13) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(146,plain,
sum(n15,n12) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(147,plain,
sum(n15,n11) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(148,plain,
sum(n15,n10) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(149,plain,
sum(n15,n9) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(150,plain,
sum(n15,n8) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(151,plain,
sum(n15,n7) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(152,plain,
sum(n15,n6) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(153,plain,
sum(n15,n5) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(154,plain,
sum(n15,n4) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(155,plain,
sum(n15,n3) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(156,plain,
sum(n15,n2) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(157,plain,
sum(n15,n1) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(158,plain,
sum(n15,n0) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(159,plain,
sum(n14,n15) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(160,plain,
sum(n14,n14) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(161,plain,
sum(n14,n13) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(162,plain,
sum(n14,n12) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(163,plain,
sum(n14,n11) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(164,plain,
sum(n14,n10) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(165,plain,
sum(n14,n9) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(166,plain,
sum(n14,n8) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(167,plain,
sum(n14,n7) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(168,plain,
sum(n14,n6) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(169,plain,
sum(n14,n5) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(170,plain,
sum(n14,n4) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(171,plain,
sum(n14,n3) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(172,plain,
sum(n14,n2) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(173,plain,
sum(n14,n1) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(174,plain,
sum(n14,n0) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(175,plain,
sum(n13,n15) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(176,plain,
sum(n13,n14) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(177,plain,
sum(n13,n13) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(178,plain,
sum(n13,n12) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(179,plain,
sum(n13,n11) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(180,plain,
sum(n13,n10) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(181,plain,
sum(n13,n9) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(182,plain,
sum(n13,n8) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(183,plain,
sum(n13,n7) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(184,plain,
sum(n13,n6) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(185,plain,
sum(n13,n5) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(186,plain,
sum(n13,n4) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(187,plain,
sum(n13,n3) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(188,plain,
sum(n13,n2) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(189,plain,
sum(n13,n1) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(190,plain,
sum(n13,n0) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(191,plain,
sum(n12,n15) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(192,plain,
sum(n12,n14) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(193,plain,
sum(n12,n13) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(194,plain,
sum(n12,n12) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(195,plain,
sum(n12,n11) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(196,plain,
sum(n12,n10) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(197,plain,
sum(n12,n9) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(198,plain,
sum(n12,n8) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(199,plain,
sum(n12,n7) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(200,plain,
sum(n12,n6) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(201,plain,
sum(n12,n5) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(202,plain,
sum(n12,n4) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(203,plain,
sum(n12,n3) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(204,plain,
sum(n12,n2) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(205,plain,
sum(n12,n1) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(206,plain,
sum(n12,n0) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(207,plain,
sum(n11,n15) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(208,plain,
sum(n11,n14) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(209,plain,
sum(n11,n13) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(210,plain,
sum(n11,n12) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(211,plain,
sum(n11,n11) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(212,plain,
sum(n11,n10) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(213,plain,
sum(n11,n9) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(214,plain,
sum(n11,n8) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(215,plain,
sum(n11,n7) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(216,plain,
sum(n11,n6) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(217,plain,
sum(n11,n5) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(218,plain,
sum(n11,n4) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(219,plain,
sum(n11,n3) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(220,plain,
sum(n11,n2) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(221,plain,
sum(n11,n1) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(222,plain,
sum(n11,n0) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(223,plain,
sum(n10,n15) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(224,plain,
sum(n10,n14) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(225,plain,
sum(n10,n13) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(226,plain,
sum(n10,n12) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(227,plain,
sum(n10,n11) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(228,plain,
sum(n10,n10) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(229,plain,
sum(n10,n9) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(230,plain,
sum(n10,n8) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(231,plain,
sum(n10,n7) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(232,plain,
sum(n10,n6) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(233,plain,
sum(n10,n5) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(234,plain,
sum(n10,n4) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(235,plain,
sum(n10,n3) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(236,plain,
sum(n10,n2) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(237,plain,
sum(n10,n1) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(238,plain,
sum(n10,n0) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(239,plain,
sum(n9,n15) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(240,plain,
sum(n9,n14) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(241,plain,
sum(n9,n13) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(242,plain,
sum(n9,n12) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(243,plain,
sum(n9,n11) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(244,plain,
sum(n9,n10) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(245,plain,
sum(n9,n9) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(246,plain,
sum(n9,n8) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(247,plain,
sum(n9,n7) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(248,plain,
sum(n9,n6) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(249,plain,
sum(n9,n5) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(250,plain,
sum(n9,n4) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(251,plain,
sum(n9,n3) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(252,plain,
sum(n9,n2) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(253,plain,
sum(n9,n1) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(254,plain,
sum(n9,n0) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(255,plain,
sum(n8,n15) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(256,plain,
sum(n8,n14) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(257,plain,
sum(n8,n13) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(258,plain,
sum(n8,n12) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(259,plain,
sum(n8,n11) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(260,plain,
sum(n8,n10) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(261,plain,
sum(n8,n9) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(262,plain,
sum(n8,n8) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(263,plain,
sum(n8,n7) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(264,plain,
sum(n8,n6) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(265,plain,
sum(n8,n5) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(266,plain,
sum(n8,n4) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(267,plain,
sum(n8,n3) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(268,plain,
sum(n8,n2) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(269,plain,
sum(n8,n1) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(270,plain,
sum(n8,n0) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(271,plain,
sum(n7,n15) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(272,plain,
sum(n7,n14) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(273,plain,
sum(n7,n13) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(274,plain,
sum(n7,n12) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(275,plain,
sum(n7,n11) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(276,plain,
sum(n7,n10) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(277,plain,
sum(n7,n9) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(278,plain,
sum(n7,n8) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(279,plain,
sum(n7,n7) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(280,plain,
sum(n7,n6) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(281,plain,
sum(n7,n5) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(282,plain,
sum(n7,n4) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(283,plain,
sum(n7,n3) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(284,plain,
sum(n7,n2) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(285,plain,
sum(n7,n1) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(286,plain,
sum(n7,n0) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(287,plain,
sum(n6,n15) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(288,plain,
sum(n6,n14) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(289,plain,
sum(n6,n13) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(290,plain,
sum(n6,n12) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(291,plain,
sum(n6,n11) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(292,plain,
sum(n6,n10) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(293,plain,
sum(n6,n9) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(294,plain,
sum(n6,n8) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(295,plain,
sum(n6,n7) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(296,plain,
sum(n6,n6) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(297,plain,
sum(n6,n5) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(298,plain,
sum(n6,n4) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(299,plain,
sum(n6,n3) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(300,plain,
sum(n6,n2) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(301,plain,
sum(n6,n1) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(302,plain,
sum(n6,n0) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(303,plain,
sum(n5,n15) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(304,plain,
sum(n5,n14) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(305,plain,
sum(n5,n13) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(306,plain,
sum(n5,n12) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(307,plain,
sum(n5,n11) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(308,plain,
sum(n5,n10) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(309,plain,
sum(n5,n9) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(310,plain,
sum(n5,n8) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(311,plain,
sum(n5,n7) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(312,plain,
sum(n5,n6) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(313,plain,
sum(n5,n5) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(314,plain,
sum(n5,n4) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(315,plain,
sum(n5,n3) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(316,plain,
sum(n5,n2) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(317,plain,
sum(n5,n1) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(318,plain,
sum(n5,n0) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(319,plain,
sum(n4,n15) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(320,plain,
sum(n4,n14) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(321,plain,
sum(n4,n13) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(322,plain,
sum(n4,n12) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(323,plain,
sum(n4,n11) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(324,plain,
sum(n4,n10) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(325,plain,
sum(n4,n9) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(326,plain,
sum(n4,n8) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(327,plain,
sum(n4,n7) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(328,plain,
sum(n4,n6) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(329,plain,
sum(n4,n5) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(330,plain,
sum(n4,n4) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(331,plain,
sum(n4,n3) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(332,plain,
sum(n4,n2) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(333,plain,
sum(n4,n1) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(334,plain,
sum(n4,n0) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(335,plain,
sum(n3,n15) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(336,plain,
sum(n3,n14) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(337,plain,
sum(n3,n13) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(338,plain,
sum(n3,n12) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(339,plain,
sum(n3,n11) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(340,plain,
sum(n3,n10) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(341,plain,
sum(n3,n9) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(342,plain,
sum(n3,n8) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(343,plain,
sum(n3,n7) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(344,plain,
sum(n3,n6) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(345,plain,
sum(n3,n5) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(346,plain,
sum(n3,n4) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(347,plain,
sum(n3,n3) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(348,plain,
sum(n3,n2) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(349,plain,
sum(n3,n1) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(350,plain,
sum(n3,n0) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(351,plain,
sum(n2,n15) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(352,plain,
sum(n2,n14) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(353,plain,
sum(n2,n13) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(354,plain,
sum(n2,n12) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(355,plain,
sum(n2,n11) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(356,plain,
sum(n2,n10) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(357,plain,
sum(n2,n9) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(358,plain,
sum(n2,n8) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(359,plain,
sum(n2,n7) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(360,plain,
sum(n2,n6) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(361,plain,
sum(n2,n5) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(362,plain,
sum(n2,n4) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(363,plain,
sum(n2,n3) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(364,plain,
sum(n2,n2) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(365,plain,
sum(n2,n1) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(366,plain,
sum(n2,n0) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(367,plain,
sum(n1,n15) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(368,plain,
sum(n1,n14) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(369,plain,
sum(n1,n13) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(370,plain,
sum(n1,n12) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(371,plain,
sum(n1,n11) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(372,plain,
sum(n1,n10) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(373,plain,
sum(n1,n9) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(374,plain,
sum(n1,n8) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(375,plain,
sum(n1,n7) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(376,plain,
sum(n1,n6) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(377,plain,
sum(n1,n5) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(378,plain,
sum(n1,n4) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(379,plain,
sum(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(380,plain,
sum(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(381,plain,
sum(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(382,plain,
sum(n1,n0) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(383,plain,
sum(n0,n15) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(384,plain,
sum(n0,n14) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(385,plain,
sum(n0,n13) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(386,plain,
sum(n0,n12) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(387,plain,
sum(n0,n11) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(388,plain,
sum(n0,n10) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(389,plain,
sum(n0,n9) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(390,plain,
sum(n0,n8) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(391,plain,
sum(n0,n7) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(392,plain,
sum(n0,n6) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(393,plain,
sum(n0,n5) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(394,plain,
sum(n0,n4) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(395,plain,
sum(n0,n3) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(396,plain,
sum(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(397,plain,
sum(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(398,plain,
sum(n0,n0) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(399,plain,
pred(n15) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(400,plain,
pred(n14) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(401,plain,
pred(n13) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(402,plain,
pred(n12) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(403,plain,
pred(n11) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(404,plain,
pred(n10) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(405,plain,
pred(n9) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(406,plain,
pred(n8) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(407,plain,
pred(n7) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(408,plain,
pred(n6) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(409,plain,
pred(n5) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(410,plain,
pred(n4) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(411,plain,
pred(n3) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(412,plain,
pred(n2) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(413,plain,
pred(n1) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(414,plain,
pred(n0) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(415,plain,
succ(n15) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(416,plain,
succ(n14) = n15,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(417,plain,
succ(n13) = n14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(418,plain,
succ(n12) = n13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(419,plain,
succ(n11) = n12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(420,plain,
succ(n10) = n11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(421,plain,
succ(n9) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(422,plain,
succ(n8) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(423,plain,
succ(n7) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(424,plain,
succ(n6) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(425,plain,
succ(n5) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(426,plain,
succ(n4) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(427,plain,
succ(n3) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(428,plain,
succ(n2) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(429,plain,
succ(n1) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(430,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(446,plain,
( sum(pred(sum(n0,succ(esk2_0))),sum(esk2_0,pred(sum(n0,esk2_0)))) = esk3_0
| 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 ),
inference(spm,[status(thm)],[140,142,theory(equality)]) ).
cnf(462,plain,
( sum(pred(sum(esk1_0,succ(n0))),sum(n0,pred(sum(esk1_0,n0)))) = esk3_0
| 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(spm,[status(thm)],[140,141,theory(equality)]) ).
cnf(463,plain,
( sum(pred(sum(esk1_0,n1)),sum(n0,pred(sum(esk1_0,n0)))) = esk3_0
| 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(rw,[status(thm)],[462,430,theory(equality)]) ).
cnf(464,plain,
( sum(pred(sum(n0,succ(n0))),sum(n0,pred(sum(n0,n0)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(spm,[status(thm)],[446,141,theory(equality)]) ).
cnf(465,plain,
( n15 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(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)],[464,430,theory(equality)]),397,theory(equality)]),413,theory(equality)]),398,theory(equality)]),414,theory(equality)]),383,theory(equality)]),383,theory(equality)]) ).
cnf(466,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[465,124,theory(equality)]) ).
cnf(483,plain,
( sum(pred(sum(n15,n1)),sum(n0,pred(sum(n15,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(spm,[status(thm)],[463,466,theory(equality)]) ).
cnf(486,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[483,157,theory(equality)]),414,theory(equality)]),158,theory(equality)]),399,theory(equality)]),384,theory(equality)]),144,theory(equality)]) ).
cnf(487,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[486,126,theory(equality)]) ).
cnf(502,plain,
( sum(pred(sum(n14,n1)),sum(n0,pred(sum(n14,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[463,487,theory(equality)]) ).
cnf(503,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[502,173,theory(equality)]),399,theory(equality)]),174,theory(equality)]),400,theory(equality)]),385,theory(equality)]),161,theory(equality)]) ).
cnf(504,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[503,128,theory(equality)]) ).
cnf(518,plain,
( sum(pred(sum(n13,n1)),sum(n0,pred(sum(n13,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(spm,[status(thm)],[463,504,theory(equality)]) ).
cnf(519,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[518,189,theory(equality)]),400,theory(equality)]),190,theory(equality)]),401,theory(equality)]),386,theory(equality)]),178,theory(equality)]) ).
cnf(520,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[519,130,theory(equality)]) ).
cnf(533,plain,
( sum(pred(sum(n12,n1)),sum(n0,pred(sum(n12,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[463,520,theory(equality)]) ).
cnf(534,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[533,205,theory(equality)]),401,theory(equality)]),206,theory(equality)]),402,theory(equality)]),387,theory(equality)]),195,theory(equality)]) ).
cnf(535,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[534,132,theory(equality)]) ).
cnf(547,plain,
( sum(pred(sum(n11,n1)),sum(n0,pred(sum(n11,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(spm,[status(thm)],[463,535,theory(equality)]) ).
cnf(548,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[547,221,theory(equality)]),402,theory(equality)]),222,theory(equality)]),403,theory(equality)]),388,theory(equality)]),212,theory(equality)]) ).
cnf(549,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[548,134,theory(equality)]) ).
cnf(560,plain,
( sum(pred(sum(n10,n1)),sum(n0,pred(sum(n10,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[463,549,theory(equality)]) ).
cnf(561,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[560,237,theory(equality)]),403,theory(equality)]),238,theory(equality)]),404,theory(equality)]),389,theory(equality)]),229,theory(equality)]) ).
cnf(562,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| 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(sr,[status(thm)],[561,136,theory(equality)]) ).
cnf(572,plain,
( sum(pred(sum(n9,n1)),sum(n0,pred(sum(n9,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(spm,[status(thm)],[463,562,theory(equality)]) ).
cnf(573,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[572,253,theory(equality)]),404,theory(equality)]),254,theory(equality)]),405,theory(equality)]),390,theory(equality)]),246,theory(equality)]) ).
cnf(574,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[573,138,theory(equality)]) ).
cnf(583,plain,
( sum(pred(sum(n8,n1)),sum(n0,pred(sum(n8,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[463,574,theory(equality)]) ).
cnf(584,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[583,269,theory(equality)]),405,theory(equality)]),270,theory(equality)]),406,theory(equality)]),391,theory(equality)]),263,theory(equality)]) ).
cnf(585,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[584,124,theory(equality)]) ).
cnf(593,plain,
( sum(pred(sum(n7,n1)),sum(n0,pred(sum(n7,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(spm,[status(thm)],[463,585,theory(equality)]) ).
cnf(594,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[593,285,theory(equality)]),406,theory(equality)]),286,theory(equality)]),407,theory(equality)]),392,theory(equality)]),280,theory(equality)]) ).
cnf(595,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[594,126,theory(equality)]) ).
cnf(610,plain,
( sum(pred(sum(n6,n1)),sum(n0,pred(sum(n6,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[463,595,theory(equality)]) ).
cnf(611,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[610,301,theory(equality)]),407,theory(equality)]),302,theory(equality)]),408,theory(equality)]),393,theory(equality)]),297,theory(equality)]) ).
cnf(612,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[611,128,theory(equality)]) ).
cnf(618,plain,
( sum(pred(sum(n5,n1)),sum(n0,pred(sum(n5,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(spm,[status(thm)],[463,612,theory(equality)]) ).
cnf(619,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[618,317,theory(equality)]),408,theory(equality)]),318,theory(equality)]),409,theory(equality)]),394,theory(equality)]),314,theory(equality)]) ).
cnf(620,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[619,130,theory(equality)]) ).
cnf(625,plain,
( sum(pred(sum(n4,n1)),sum(n0,pred(sum(n4,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[463,620,theory(equality)]) ).
cnf(626,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[625,333,theory(equality)]),409,theory(equality)]),334,theory(equality)]),410,theory(equality)]),395,theory(equality)]),331,theory(equality)]) ).
cnf(627,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[626,132,theory(equality)]) ).
cnf(631,plain,
( sum(pred(sum(n3,n1)),sum(n0,pred(sum(n3,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[463,627,theory(equality)]) ).
cnf(632,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[631,349,theory(equality)]),410,theory(equality)]),350,theory(equality)]),411,theory(equality)]),396,theory(equality)]),348,theory(equality)]) ).
cnf(633,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[632,134,theory(equality)]) ).
cnf(636,plain,
( sum(pred(sum(n2,n1)),sum(n0,pred(sum(n2,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1 ),
inference(spm,[status(thm)],[463,633,theory(equality)]) ).
cnf(637,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[636,365,theory(equality)]),411,theory(equality)]),366,theory(equality)]),412,theory(equality)]),397,theory(equality)]),365,theory(equality)]) ).
cnf(638,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[637,136,theory(equality)]) ).
cnf(640,plain,
( sum(pred(sum(n1,n1)),sum(n0,pred(sum(n1,n0)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15 ),
inference(spm,[status(thm)],[463,638,theory(equality)]) ).
cnf(641,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk2_0 = n15 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[640,381,theory(equality)]),412,theory(equality)]),382,theory(equality)]),413,theory(equality)]),398,theory(equality)]),382,theory(equality)]) ).
cnf(642,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[641,138,theory(equality)]) ).
cnf(657,plain,
( sum(pred(sum(esk1_0,succ(n15))),sum(n15,pred(sum(esk1_0,n15)))) = esk3_0
| 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(spm,[status(thm)],[140,642,theory(equality)]) ).
cnf(658,plain,
( sum(pred(sum(n0,succ(n15))),sum(n15,pred(sum(n0,n15)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_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(spm,[status(thm)],[446,642,theory(equality)]) ).
cnf(659,plain,
( sum(pred(sum(esk1_0,n0)),sum(n15,pred(sum(esk1_0,n15)))) = esk3_0
| 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(rw,[status(thm)],[657,415,theory(equality)]) ).
cnf(660,plain,
( n12 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_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(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)],[658,415,theory(equality)]),398,theory(equality)]),414,theory(equality)]),383,theory(equality)]),399,theory(equality)]),144,theory(equality)]),145,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 = 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(sr,[status(thm)],[660,127,theory(equality)]) ).
cnf(680,plain,
( sum(pred(sum(n15,n0)),sum(n15,pred(sum(n15,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| 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(spm,[status(thm)],[659,661,theory(equality)]) ).
cnf(681,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[680,158,theory(equality)]),399,theory(equality)]),143,theory(equality)]),400,theory(equality)]),145,theory(equality)]),162,theory(equality)]) ).
cnf(682,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| 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(sr,[status(thm)],[681,129,theory(equality)]) ).
cnf(697,plain,
( sum(pred(sum(n14,n0)),sum(n15,pred(sum(n14,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[659,682,theory(equality)]) ).
cnf(698,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[697,174,theory(equality)]),400,theory(equality)]),159,theory(equality)]),401,theory(equality)]),146,theory(equality)]),179,theory(equality)]) ).
cnf(699,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[698,131,theory(equality)]) ).
cnf(713,plain,
( sum(pred(sum(n13,n0)),sum(n15,pred(sum(n13,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| 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(spm,[status(thm)],[659,699,theory(equality)]) ).
cnf(714,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[713,190,theory(equality)]),401,theory(equality)]),175,theory(equality)]),402,theory(equality)]),147,theory(equality)]),196,theory(equality)]) ).
cnf(715,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| 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(sr,[status(thm)],[714,133,theory(equality)]) ).
cnf(728,plain,
( sum(pred(sum(n12,n0)),sum(n15,pred(sum(n12,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[659,715,theory(equality)]) ).
cnf(729,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[728,206,theory(equality)]),402,theory(equality)]),191,theory(equality)]),403,theory(equality)]),148,theory(equality)]),213,theory(equality)]) ).
cnf(730,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[729,135,theory(equality)]) ).
cnf(745,plain,
( sum(pred(sum(n11,n0)),sum(n15,pred(sum(n11,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[659,730,theory(equality)]) ).
cnf(746,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[745,222,theory(equality)]),403,theory(equality)]),207,theory(equality)]),404,theory(equality)]),149,theory(equality)]),230,theory(equality)]) ).
cnf(747,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[746,137,theory(equality)]) ).
cnf(758,plain,
( sum(pred(sum(n10,n0)),sum(n15,pred(sum(n10,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[659,747,theory(equality)]) ).
cnf(759,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[758,238,theory(equality)]),404,theory(equality)]),223,theory(equality)]),405,theory(equality)]),150,theory(equality)]),247,theory(equality)]) ).
cnf(760,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| 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(sr,[status(thm)],[759,139,theory(equality)]) ).
cnf(770,plain,
( sum(pred(sum(n9,n0)),sum(n15,pred(sum(n9,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[659,760,theory(equality)]) ).
cnf(771,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[770,254,theory(equality)]),405,theory(equality)]),239,theory(equality)]),406,theory(equality)]),151,theory(equality)]),264,theory(equality)]) ).
cnf(772,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[771,125,theory(equality)]) ).
cnf(781,plain,
( sum(pred(sum(n8,n0)),sum(n15,pred(sum(n8,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[659,772,theory(equality)]) ).
cnf(782,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[781,270,theory(equality)]),406,theory(equality)]),255,theory(equality)]),407,theory(equality)]),152,theory(equality)]),281,theory(equality)]) ).
cnf(783,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[782,127,theory(equality)]) ).
cnf(791,plain,
( sum(pred(sum(n7,n0)),sum(n15,pred(sum(n7,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[659,783,theory(equality)]) ).
cnf(792,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[791,286,theory(equality)]),407,theory(equality)]),271,theory(equality)]),408,theory(equality)]),153,theory(equality)]),298,theory(equality)]) ).
cnf(793,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[792,129,theory(equality)]) ).
cnf(800,plain,
( sum(pred(sum(n6,n0)),sum(n15,pred(sum(n6,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[659,793,theory(equality)]) ).
cnf(801,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[800,302,theory(equality)]),408,theory(equality)]),287,theory(equality)]),409,theory(equality)]),154,theory(equality)]),315,theory(equality)]) ).
cnf(802,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[801,131,theory(equality)]) ).
cnf(808,plain,
( sum(pred(sum(n5,n0)),sum(n15,pred(sum(n5,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[659,802,theory(equality)]) ).
cnf(809,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[808,318,theory(equality)]),409,theory(equality)]),303,theory(equality)]),410,theory(equality)]),155,theory(equality)]),332,theory(equality)]) ).
cnf(810,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[809,133,theory(equality)]) ).
cnf(815,plain,
( sum(pred(sum(n4,n0)),sum(n15,pred(sum(n4,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[659,810,theory(equality)]) ).
cnf(816,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[815,334,theory(equality)]),410,theory(equality)]),319,theory(equality)]),411,theory(equality)]),156,theory(equality)]),349,theory(equality)]) ).
cnf(817,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[816,135,theory(equality)]) ).
cnf(821,plain,
( sum(pred(sum(n3,n0)),sum(n15,pred(sum(n3,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[659,817,theory(equality)]) ).
cnf(822,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[821,350,theory(equality)]),411,theory(equality)]),335,theory(equality)]),412,theory(equality)]),157,theory(equality)]),366,theory(equality)]) ).
cnf(823,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[822,137,theory(equality)]) ).
cnf(826,plain,
( sum(pred(sum(n2,n0)),sum(n15,pred(sum(n2,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1 ),
inference(spm,[status(thm)],[659,823,theory(equality)]) ).
cnf(827,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[826,366,theory(equality)]),412,theory(equality)]),351,theory(equality)]),413,theory(equality)]),158,theory(equality)]),367,theory(equality)]) ).
cnf(828,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1 ),
inference(sr,[status(thm)],[827,139,theory(equality)]) ).
cnf(830,plain,
( sum(pred(sum(n1,n0)),sum(n15,pred(sum(n1,n15)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14 ),
inference(spm,[status(thm)],[659,828,theory(equality)]) ).
cnf(831,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk2_0 = n14 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[830,382,theory(equality)]),413,theory(equality)]),367,theory(equality)]),414,theory(equality)]),143,theory(equality)]),384,theory(equality)]) ).
cnf(832,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[831,125,theory(equality)]) ).
cnf(846,plain,
( sum(pred(sum(esk1_0,succ(n14))),sum(n14,pred(sum(esk1_0,n14)))) = esk3_0
| 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(spm,[status(thm)],[140,832,theory(equality)]) ).
cnf(847,plain,
( sum(pred(sum(n0,succ(n14))),sum(n14,pred(sum(n0,n14)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(spm,[status(thm)],[446,832,theory(equality)]) ).
cnf(848,plain,
( sum(pred(sum(esk1_0,n15)),sum(n14,pred(sum(esk1_0,n14)))) = esk3_0
| 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(rw,[status(thm)],[846,416,theory(equality)]) ).
cnf(849,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(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)],[847,416,theory(equality)]),383,theory(equality)]),399,theory(equality)]),384,theory(equality)]),400,theory(equality)]),161,theory(equality)]),163,theory(equality)]) ).
cnf(850,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[849,130,theory(equality)]) ).
cnf(869,plain,
( sum(pred(sum(n15,n15)),sum(n14,pred(sum(n15,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| 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(spm,[status(thm)],[848,850,theory(equality)]) ).
cnf(870,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[869,143,theory(equality)]),400,theory(equality)]),144,theory(equality)]),401,theory(equality)]),162,theory(equality)]),180,theory(equality)]) ).
cnf(871,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| 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(sr,[status(thm)],[870,132,theory(equality)]) ).
cnf(886,plain,
( sum(pred(sum(n14,n15)),sum(n14,pred(sum(n14,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[848,871,theory(equality)]) ).
cnf(887,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[886,159,theory(equality)]),401,theory(equality)]),160,theory(equality)]),402,theory(equality)]),163,theory(equality)]),197,theory(equality)]) ).
cnf(888,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[887,134,theory(equality)]) ).
cnf(902,plain,
( sum(pred(sum(n13,n15)),sum(n14,pred(sum(n13,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_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(spm,[status(thm)],[848,888,theory(equality)]) ).
cnf(903,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[902,175,theory(equality)]),402,theory(equality)]),176,theory(equality)]),403,theory(equality)]),164,theory(equality)]),214,theory(equality)]) ).
cnf(904,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| 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(sr,[status(thm)],[903,136,theory(equality)]) ).
cnf(917,plain,
( sum(pred(sum(n12,n15)),sum(n14,pred(sum(n12,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[848,904,theory(equality)]) ).
cnf(918,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[917,191,theory(equality)]),403,theory(equality)]),192,theory(equality)]),404,theory(equality)]),165,theory(equality)]),231,theory(equality)]) ).
cnf(919,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[918,138,theory(equality)]) ).
cnf(931,plain,
( sum(pred(sum(n11,n15)),sum(n14,pred(sum(n11,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[848,919,theory(equality)]) ).
cnf(932,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[931,207,theory(equality)]),404,theory(equality)]),208,theory(equality)]),405,theory(equality)]),166,theory(equality)]),248,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
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[932,124,theory(equality)]) ).
cnf(944,plain,
( sum(pred(sum(n10,n15)),sum(n14,pred(sum(n10,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[848,933,theory(equality)]) ).
cnf(945,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[944,223,theory(equality)]),405,theory(equality)]),224,theory(equality)]),406,theory(equality)]),167,theory(equality)]),265,theory(equality)]) ).
cnf(946,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| 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(sr,[status(thm)],[945,126,theory(equality)]) ).
cnf(956,plain,
( sum(pred(sum(n9,n15)),sum(n14,pred(sum(n9,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[848,946,theory(equality)]) ).
cnf(957,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[956,239,theory(equality)]),406,theory(equality)]),240,theory(equality)]),407,theory(equality)]),168,theory(equality)]),282,theory(equality)]) ).
cnf(958,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[957,128,theory(equality)]) ).
cnf(967,plain,
( sum(pred(sum(n8,n15)),sum(n14,pred(sum(n8,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[848,958,theory(equality)]) ).
cnf(968,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[967,255,theory(equality)]),407,theory(equality)]),256,theory(equality)]),408,theory(equality)]),169,theory(equality)]),299,theory(equality)]) ).
cnf(969,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[968,130,theory(equality)]) ).
cnf(984,plain,
( sum(pred(sum(n7,n15)),sum(n14,pred(sum(n7,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[848,969,theory(equality)]) ).
cnf(985,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[984,271,theory(equality)]),408,theory(equality)]),272,theory(equality)]),409,theory(equality)]),170,theory(equality)]),316,theory(equality)]) ).
cnf(986,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[985,132,theory(equality)]) ).
cnf(993,plain,
( sum(pred(sum(n6,n15)),sum(n14,pred(sum(n6,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[848,986,theory(equality)]) ).
cnf(994,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[993,287,theory(equality)]),409,theory(equality)]),288,theory(equality)]),410,theory(equality)]),171,theory(equality)]),333,theory(equality)]) ).
cnf(995,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[994,134,theory(equality)]) ).
cnf(1001,plain,
( sum(pred(sum(n5,n15)),sum(n14,pred(sum(n5,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[848,995,theory(equality)]) ).
cnf(1002,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1001,303,theory(equality)]),410,theory(equality)]),304,theory(equality)]),411,theory(equality)]),172,theory(equality)]),350,theory(equality)]) ).
cnf(1003,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1002,136,theory(equality)]) ).
cnf(1008,plain,
( sum(pred(sum(n4,n15)),sum(n14,pred(sum(n4,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[848,1003,theory(equality)]) ).
cnf(1009,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1008,319,theory(equality)]),411,theory(equality)]),320,theory(equality)]),412,theory(equality)]),173,theory(equality)]),351,theory(equality)]) ).
cnf(1010,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[1009,138,theory(equality)]) ).
cnf(1014,plain,
( sum(pred(sum(n3,n15)),sum(n14,pred(sum(n3,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[848,1010,theory(equality)]) ).
cnf(1015,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1014,335,theory(equality)]),412,theory(equality)]),336,theory(equality)]),413,theory(equality)]),174,theory(equality)]),368,theory(equality)]) ).
cnf(1016,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1015,124,theory(equality)]) ).
cnf(1019,plain,
( sum(pred(sum(n2,n15)),sum(n14,pred(sum(n2,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1 ),
inference(spm,[status(thm)],[848,1016,theory(equality)]) ).
cnf(1020,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1019,351,theory(equality)]),413,theory(equality)]),352,theory(equality)]),414,theory(equality)]),159,theory(equality)]),385,theory(equality)]) ).
cnf(1021,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1020,126,theory(equality)]) ).
cnf(1023,plain,
( sum(pred(sum(n1,n15)),sum(n14,pred(sum(n1,n14)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(spm,[status(thm)],[848,1021,theory(equality)]) ).
cnf(1024,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk2_0 = n13 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1023,367,theory(equality)]),414,theory(equality)]),368,theory(equality)]),399,theory(equality)]),160,theory(equality)]),146,theory(equality)]) ).
cnf(1025,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[1024,128,theory(equality)]) ).
cnf(1038,plain,
( sum(pred(sum(esk1_0,succ(n13))),sum(n13,pred(sum(esk1_0,n13)))) = esk3_0
| 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(spm,[status(thm)],[140,1025,theory(equality)]) ).
cnf(1039,plain,
( sum(pred(sum(n0,succ(n13))),sum(n13,pred(sum(n0,n13)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| 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(spm,[status(thm)],[446,1025,theory(equality)]) ).
cnf(1040,plain,
( sum(pred(sum(esk1_0,n14)),sum(n13,pred(sum(esk1_0,n13)))) = esk3_0
| 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(rw,[status(thm)],[1038,417,theory(equality)]) ).
cnf(1041,plain,
( n6 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| 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(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)],[1039,417,theory(equality)]),384,theory(equality)]),400,theory(equality)]),385,theory(equality)]),401,theory(equality)]),178,theory(equality)]),181,theory(equality)]) ).
cnf(1042,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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 = 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(sr,[status(thm)],[1041,133,theory(equality)]) ).
cnf(1061,plain,
( sum(pred(sum(n15,n14)),sum(n13,pred(sum(n15,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| 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(spm,[status(thm)],[1040,1042,theory(equality)]) ).
cnf(1062,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1061,144,theory(equality)]),401,theory(equality)]),145,theory(equality)]),402,theory(equality)]),179,theory(equality)]),198,theory(equality)]) ).
cnf(1063,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| 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(sr,[status(thm)],[1062,135,theory(equality)]) ).
cnf(1078,plain,
( sum(pred(sum(n14,n14)),sum(n13,pred(sum(n14,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1040,1063,theory(equality)]) ).
cnf(1079,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1078,160,theory(equality)]),402,theory(equality)]),161,theory(equality)]),403,theory(equality)]),180,theory(equality)]),215,theory(equality)]) ).
cnf(1080,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[1079,137,theory(equality)]) ).
cnf(1094,plain,
( sum(pred(sum(n13,n14)),sum(n13,pred(sum(n13,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| 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(spm,[status(thm)],[1040,1080,theory(equality)]) ).
cnf(1095,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1094,176,theory(equality)]),403,theory(equality)]),177,theory(equality)]),404,theory(equality)]),181,theory(equality)]),232,theory(equality)]) ).
cnf(1096,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| 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(sr,[status(thm)],[1095,139,theory(equality)]) ).
cnf(1109,plain,
( sum(pred(sum(n12,n14)),sum(n13,pred(sum(n12,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1040,1096,theory(equality)]) ).
cnf(1110,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1109,192,theory(equality)]),404,theory(equality)]),193,theory(equality)]),405,theory(equality)]),182,theory(equality)]),249,theory(equality)]) ).
cnf(1111,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[1110,125,theory(equality)]) ).
cnf(1123,plain,
( sum(pred(sum(n11,n14)),sum(n13,pred(sum(n11,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1040,1111,theory(equality)]) ).
cnf(1124,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1123,208,theory(equality)]),405,theory(equality)]),209,theory(equality)]),406,theory(equality)]),183,theory(equality)]),266,theory(equality)]) ).
cnf(1125,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1124,127,theory(equality)]) ).
cnf(1140,plain,
( sum(pred(sum(n10,n14)),sum(n13,pred(sum(n10,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[1040,1125,theory(equality)]) ).
cnf(1141,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1140,224,theory(equality)]),406,theory(equality)]),225,theory(equality)]),407,theory(equality)]),184,theory(equality)]),283,theory(equality)]) ).
cnf(1142,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| 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(sr,[status(thm)],[1141,129,theory(equality)]) ).
cnf(1152,plain,
( sum(pred(sum(n9,n14)),sum(n13,pred(sum(n9,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1040,1142,theory(equality)]) ).
cnf(1153,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1152,240,theory(equality)]),407,theory(equality)]),241,theory(equality)]),408,theory(equality)]),185,theory(equality)]),300,theory(equality)]) ).
cnf(1154,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1153,131,theory(equality)]) ).
cnf(1163,plain,
( sum(pred(sum(n8,n14)),sum(n13,pred(sum(n8,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[1040,1154,theory(equality)]) ).
cnf(1164,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1163,256,theory(equality)]),408,theory(equality)]),257,theory(equality)]),409,theory(equality)]),186,theory(equality)]),317,theory(equality)]) ).
cnf(1165,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[1164,133,theory(equality)]) ).
cnf(1173,plain,
( sum(pred(sum(n7,n14)),sum(n13,pred(sum(n7,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1040,1165,theory(equality)]) ).
cnf(1174,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1173,272,theory(equality)]),409,theory(equality)]),273,theory(equality)]),410,theory(equality)]),187,theory(equality)]),334,theory(equality)]) ).
cnf(1175,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1174,135,theory(equality)]) ).
cnf(1182,plain,
( sum(pred(sum(n6,n14)),sum(n13,pred(sum(n6,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[1040,1175,theory(equality)]) ).
cnf(1183,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1182,288,theory(equality)]),410,theory(equality)]),289,theory(equality)]),411,theory(equality)]),188,theory(equality)]),335,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[1183,137,theory(equality)]) ).
cnf(1190,plain,
( sum(pred(sum(n5,n14)),sum(n13,pred(sum(n5,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1040,1184,theory(equality)]) ).
cnf(1191,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1190,304,theory(equality)]),411,theory(equality)]),305,theory(equality)]),412,theory(equality)]),189,theory(equality)]),352,theory(equality)]) ).
cnf(1192,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1191,139,theory(equality)]) ).
cnf(1197,plain,
( sum(pred(sum(n4,n14)),sum(n13,pred(sum(n4,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[1040,1192,theory(equality)]) ).
cnf(1198,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1197,320,theory(equality)]),412,theory(equality)]),321,theory(equality)]),413,theory(equality)]),190,theory(equality)]),369,theory(equality)]) ).
cnf(1199,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[1198,125,theory(equality)]) ).
cnf(1203,plain,
( sum(pred(sum(n3,n14)),sum(n13,pred(sum(n3,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1040,1199,theory(equality)]) ).
cnf(1204,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1203,336,theory(equality)]),413,theory(equality)]),337,theory(equality)]),414,theory(equality)]),175,theory(equality)]),386,theory(equality)]) ).
cnf(1205,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1204,127,theory(equality)]) ).
cnf(1208,plain,
( sum(pred(sum(n2,n14)),sum(n13,pred(sum(n2,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1040,1205,theory(equality)]) ).
cnf(1209,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1208,352,theory(equality)]),414,theory(equality)]),353,theory(equality)]),399,theory(equality)]),176,theory(equality)]),147,theory(equality)]) ).
cnf(1210,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1209,129,theory(equality)]) ).
cnf(1212,plain,
( sum(pred(sum(n1,n14)),sum(n13,pred(sum(n1,n13)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12 ),
inference(spm,[status(thm)],[1040,1210,theory(equality)]) ).
cnf(1213,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk2_0 = n12 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1212,368,theory(equality)]),399,theory(equality)]),369,theory(equality)]),400,theory(equality)]),177,theory(equality)]),164,theory(equality)]) ).
cnf(1214,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[1213,131,theory(equality)]) ).
cnf(1226,plain,
( sum(pred(sum(esk1_0,succ(n12))),sum(n12,pred(sum(esk1_0,n12)))) = esk3_0
| 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(spm,[status(thm)],[140,1214,theory(equality)]) ).
cnf(1227,plain,
( sum(pred(sum(n0,succ(n12))),sum(n12,pred(sum(n0,n12)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(spm,[status(thm)],[446,1214,theory(equality)]) ).
cnf(1228,plain,
( sum(pred(sum(esk1_0,n13)),sum(n12,pred(sum(esk1_0,n12)))) = esk3_0
| 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(rw,[status(thm)],[1226,418,theory(equality)]) ).
cnf(1229,plain,
( n3 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(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)],[1227,418,theory(equality)]),385,theory(equality)]),401,theory(equality)]),386,theory(equality)]),402,theory(equality)]),195,theory(equality)]),199,theory(equality)]) ).
cnf(1230,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(sr,[status(thm)],[1229,136,theory(equality)]) ).
cnf(1247,plain,
( sum(pred(sum(n15,n13)),sum(n12,pred(sum(n15,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| 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(spm,[status(thm)],[1228,1230,theory(equality)]) ).
cnf(1250,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1247,145,theory(equality)]),402,theory(equality)]),146,theory(equality)]),403,theory(equality)]),196,theory(equality)]),216,theory(equality)]) ).
cnf(1251,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| 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(sr,[status(thm)],[1250,138,theory(equality)]) ).
cnf(1266,plain,
( sum(pred(sum(n14,n13)),sum(n12,pred(sum(n14,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1228,1251,theory(equality)]) ).
cnf(1267,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1266,161,theory(equality)]),403,theory(equality)]),162,theory(equality)]),404,theory(equality)]),197,theory(equality)]),233,theory(equality)]) ).
cnf(1268,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[1267,124,theory(equality)]) ).
cnf(1282,plain,
( sum(pred(sum(n13,n13)),sum(n12,pred(sum(n13,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| 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(spm,[status(thm)],[1228,1268,theory(equality)]) ).
cnf(1283,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1282,177,theory(equality)]),404,theory(equality)]),178,theory(equality)]),405,theory(equality)]),198,theory(equality)]),250,theory(equality)]) ).
cnf(1284,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| 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(sr,[status(thm)],[1283,126,theory(equality)]) ).
cnf(1297,plain,
( sum(pred(sum(n12,n13)),sum(n12,pred(sum(n12,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1228,1284,theory(equality)]) ).
cnf(1298,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1297,193,theory(equality)]),405,theory(equality)]),194,theory(equality)]),406,theory(equality)]),199,theory(equality)]),267,theory(equality)]) ).
cnf(1299,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[1298,128,theory(equality)]) ).
cnf(1311,plain,
( sum(pred(sum(n11,n13)),sum(n12,pred(sum(n11,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_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(spm,[status(thm)],[1228,1299,theory(equality)]) ).
cnf(1312,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1311,209,theory(equality)]),406,theory(equality)]),210,theory(equality)]),407,theory(equality)]),200,theory(equality)]),284,theory(equality)]) ).
cnf(1313,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1312,130,theory(equality)]) ).
cnf(1324,plain,
( sum(pred(sum(n10,n13)),sum(n12,pred(sum(n10,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[1228,1313,theory(equality)]) ).
cnf(1325,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1324,225,theory(equality)]),407,theory(equality)]),226,theory(equality)]),408,theory(equality)]),201,theory(equality)]),301,theory(equality)]) ).
cnf(1326,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| 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(sr,[status(thm)],[1325,132,theory(equality)]) ).
cnf(1336,plain,
( sum(pred(sum(n9,n13)),sum(n12,pred(sum(n9,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1228,1326,theory(equality)]) ).
cnf(1337,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1336,241,theory(equality)]),408,theory(equality)]),242,theory(equality)]),409,theory(equality)]),202,theory(equality)]),318,theory(equality)]) ).
cnf(1338,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1337,134,theory(equality)]) ).
cnf(1347,plain,
( sum(pred(sum(n8,n13)),sum(n12,pred(sum(n8,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[1228,1338,theory(equality)]) ).
cnf(1348,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1347,257,theory(equality)]),409,theory(equality)]),258,theory(equality)]),410,theory(equality)]),203,theory(equality)]),319,theory(equality)]) ).
cnf(1349,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[1348,136,theory(equality)]) ).
cnf(1357,plain,
( sum(pred(sum(n7,n13)),sum(n12,pred(sum(n7,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1228,1349,theory(equality)]) ).
cnf(1358,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1357,273,theory(equality)]),410,theory(equality)]),274,theory(equality)]),411,theory(equality)]),204,theory(equality)]),336,theory(equality)]) ).
cnf(1359,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1358,138,theory(equality)]) ).
cnf(1374,plain,
( sum(pred(sum(n6,n13)),sum(n12,pred(sum(n6,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[1228,1359,theory(equality)]) ).
cnf(1375,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1374,289,theory(equality)]),411,theory(equality)]),290,theory(equality)]),412,theory(equality)]),205,theory(equality)]),353,theory(equality)]) ).
cnf(1376,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[1375,124,theory(equality)]) ).
cnf(1382,plain,
( sum(pred(sum(n5,n13)),sum(n12,pred(sum(n5,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1228,1376,theory(equality)]) ).
cnf(1383,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1382,305,theory(equality)]),412,theory(equality)]),306,theory(equality)]),413,theory(equality)]),206,theory(equality)]),370,theory(equality)]) ).
cnf(1384,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1383,126,theory(equality)]) ).
cnf(1389,plain,
( sum(pred(sum(n4,n13)),sum(n12,pred(sum(n4,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[1228,1384,theory(equality)]) ).
cnf(1390,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1389,321,theory(equality)]),413,theory(equality)]),322,theory(equality)]),414,theory(equality)]),191,theory(equality)]),387,theory(equality)]) ).
cnf(1391,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[1390,128,theory(equality)]) ).
cnf(1395,plain,
( sum(pred(sum(n3,n13)),sum(n12,pred(sum(n3,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1228,1391,theory(equality)]) ).
cnf(1396,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1395,337,theory(equality)]),414,theory(equality)]),338,theory(equality)]),399,theory(equality)]),192,theory(equality)]),148,theory(equality)]) ).
cnf(1397,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1396,130,theory(equality)]) ).
cnf(1400,plain,
( sum(pred(sum(n2,n13)),sum(n12,pred(sum(n2,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1228,1397,theory(equality)]) ).
cnf(1401,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1400,353,theory(equality)]),399,theory(equality)]),354,theory(equality)]),400,theory(equality)]),193,theory(equality)]),165,theory(equality)]) ).
cnf(1402,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1401,132,theory(equality)]) ).
cnf(1404,plain,
( sum(pred(sum(n1,n13)),sum(n12,pred(sum(n1,n12)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(spm,[status(thm)],[1228,1402,theory(equality)]) ).
cnf(1405,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk2_0 = n11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1404,369,theory(equality)]),400,theory(equality)]),370,theory(equality)]),401,theory(equality)]),194,theory(equality)]),182,theory(equality)]) ).
cnf(1406,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[1405,134,theory(equality)]) ).
cnf(1417,plain,
( sum(pred(sum(esk1_0,succ(n11))),sum(n11,pred(sum(esk1_0,n11)))) = esk3_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[140,1406,theory(equality)]) ).
cnf(1418,plain,
( sum(pred(sum(n0,succ(n11))),sum(n11,pred(sum(n0,n11)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[446,1406,theory(equality)]) ).
cnf(1419,plain,
( sum(pred(sum(esk1_0,n12)),sum(n11,pred(sum(esk1_0,n11)))) = esk3_0
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[1417,419,theory(equality)]) ).
cnf(1420,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
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)],[1418,419,theory(equality)]),386,theory(equality)]),402,theory(equality)]),387,theory(equality)]),403,theory(equality)]),212,theory(equality)]),217,theory(equality)]) ).
cnf(1421,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(sr,[status(thm)],[1420,139,theory(equality)]) ).
cnf(1440,plain,
( sum(pred(sum(n15,n12)),sum(n11,pred(sum(n15,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = 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(spm,[status(thm)],[1419,1421,theory(equality)]) ).
cnf(1441,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1440,146,theory(equality)]),403,theory(equality)]),147,theory(equality)]),404,theory(equality)]),213,theory(equality)]),234,theory(equality)]) ).
cnf(1442,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(sr,[status(thm)],[1441,125,theory(equality)]) ).
cnf(1457,plain,
( sum(pred(sum(n14,n12)),sum(n11,pred(sum(n14,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1419,1442,theory(equality)]) ).
cnf(1458,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1457,162,theory(equality)]),404,theory(equality)]),163,theory(equality)]),405,theory(equality)]),214,theory(equality)]),251,theory(equality)]) ).
cnf(1459,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[1458,127,theory(equality)]) ).
cnf(1473,plain,
( sum(pred(sum(n13,n12)),sum(n11,pred(sum(n13,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = 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(spm,[status(thm)],[1419,1459,theory(equality)]) ).
cnf(1474,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1473,178,theory(equality)]),405,theory(equality)]),179,theory(equality)]),406,theory(equality)]),215,theory(equality)]),268,theory(equality)]) ).
cnf(1475,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| 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(sr,[status(thm)],[1474,129,theory(equality)]) ).
cnf(1488,plain,
( sum(pred(sum(n12,n12)),sum(n11,pred(sum(n12,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1419,1475,theory(equality)]) ).
cnf(1489,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1488,194,theory(equality)]),406,theory(equality)]),195,theory(equality)]),407,theory(equality)]),216,theory(equality)]),285,theory(equality)]) ).
cnf(1490,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[1489,131,theory(equality)]) ).
cnf(1502,plain,
( sum(pred(sum(n11,n12)),sum(n11,pred(sum(n11,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1419,1490,theory(equality)]) ).
cnf(1503,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1502,210,theory(equality)]),407,theory(equality)]),211,theory(equality)]),408,theory(equality)]),217,theory(equality)]),302,theory(equality)]) ).
cnf(1504,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1503,133,theory(equality)]) ).
cnf(1515,plain,
( sum(pred(sum(n10,n12)),sum(n11,pred(sum(n10,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[1419,1504,theory(equality)]) ).
cnf(1516,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1515,226,theory(equality)]),408,theory(equality)]),227,theory(equality)]),409,theory(equality)]),218,theory(equality)]),303,theory(equality)]) ).
cnf(1517,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| 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(sr,[status(thm)],[1516,135,theory(equality)]) ).
cnf(1527,plain,
( sum(pred(sum(n9,n12)),sum(n11,pred(sum(n9,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1419,1517,theory(equality)]) ).
cnf(1528,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1527,242,theory(equality)]),409,theory(equality)]),243,theory(equality)]),410,theory(equality)]),219,theory(equality)]),320,theory(equality)]) ).
cnf(1529,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1528,137,theory(equality)]) ).
cnf(1538,plain,
( sum(pred(sum(n8,n12)),sum(n11,pred(sum(n8,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[1419,1529,theory(equality)]) ).
cnf(1539,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1538,258,theory(equality)]),410,theory(equality)]),259,theory(equality)]),411,theory(equality)]),220,theory(equality)]),337,theory(equality)]) ).
cnf(1540,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[1539,139,theory(equality)]) ).
cnf(1555,plain,
( sum(pred(sum(n7,n12)),sum(n11,pred(sum(n7,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1419,1540,theory(equality)]) ).
cnf(1556,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1555,274,theory(equality)]),411,theory(equality)]),275,theory(equality)]),412,theory(equality)]),221,theory(equality)]),354,theory(equality)]) ).
cnf(1557,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1556,125,theory(equality)]) ).
cnf(1564,plain,
( sum(pred(sum(n6,n12)),sum(n11,pred(sum(n6,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[1419,1557,theory(equality)]) ).
cnf(1565,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1564,290,theory(equality)]),412,theory(equality)]),291,theory(equality)]),413,theory(equality)]),222,theory(equality)]),371,theory(equality)]) ).
cnf(1566,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[1565,127,theory(equality)]) ).
cnf(1572,plain,
( sum(pred(sum(n5,n12)),sum(n11,pred(sum(n5,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1419,1566,theory(equality)]) ).
cnf(1573,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1572,306,theory(equality)]),413,theory(equality)]),307,theory(equality)]),414,theory(equality)]),207,theory(equality)]),388,theory(equality)]) ).
cnf(1574,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1573,129,theory(equality)]) ).
cnf(1579,plain,
( sum(pred(sum(n4,n12)),sum(n11,pred(sum(n4,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[1419,1574,theory(equality)]) ).
cnf(1580,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1579,322,theory(equality)]),414,theory(equality)]),323,theory(equality)]),399,theory(equality)]),208,theory(equality)]),149,theory(equality)]) ).
cnf(1581,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[1580,131,theory(equality)]) ).
cnf(1585,plain,
( sum(pred(sum(n3,n12)),sum(n11,pred(sum(n3,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1419,1581,theory(equality)]) ).
cnf(1586,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1585,338,theory(equality)]),399,theory(equality)]),339,theory(equality)]),400,theory(equality)]),209,theory(equality)]),166,theory(equality)]) ).
cnf(1587,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1586,133,theory(equality)]) ).
cnf(1590,plain,
( sum(pred(sum(n2,n12)),sum(n11,pred(sum(n2,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1419,1587,theory(equality)]) ).
cnf(1591,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1590,354,theory(equality)]),400,theory(equality)]),355,theory(equality)]),401,theory(equality)]),210,theory(equality)]),183,theory(equality)]) ).
cnf(1592,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1591,135,theory(equality)]) ).
cnf(1594,plain,
( sum(pred(sum(n1,n12)),sum(n11,pred(sum(n1,n11)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(spm,[status(thm)],[1419,1592,theory(equality)]) ).
cnf(1595,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1594,370,theory(equality)]),401,theory(equality)]),371,theory(equality)]),402,theory(equality)]),211,theory(equality)]),200,theory(equality)]) ).
cnf(1596,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[1595,137,theory(equality)]) ).
cnf(1606,plain,
( sum(pred(sum(esk1_0,succ(n10))),sum(n10,pred(sum(esk1_0,n10)))) = esk3_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[140,1596,theory(equality)]) ).
cnf(1607,plain,
( sum(pred(sum(n0,succ(n10))),sum(n10,pred(sum(n0,n10)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(spm,[status(thm)],[446,1596,theory(equality)]) ).
cnf(1608,plain,
( sum(pred(sum(esk1_0,n11)),sum(n10,pred(sum(esk1_0,n10)))) = esk3_0
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[1606,420,theory(equality)]) ).
cnf(1609,plain,
( n13 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(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)],[1607,420,theory(equality)]),387,theory(equality)]),403,theory(equality)]),388,theory(equality)]),404,theory(equality)]),229,theory(equality)]),235,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
| 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(sr,[status(thm)],[1609,126,theory(equality)]) ).
cnf(1629,plain,
( sum(pred(sum(n15,n11)),sum(n10,pred(sum(n15,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| 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(spm,[status(thm)],[1608,1610,theory(equality)]) ).
cnf(1630,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1629,147,theory(equality)]),404,theory(equality)]),148,theory(equality)]),405,theory(equality)]),230,theory(equality)]),252,theory(equality)]) ).
cnf(1631,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| 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(sr,[status(thm)],[1630,128,theory(equality)]) ).
cnf(1646,plain,
( sum(pred(sum(n14,n11)),sum(n10,pred(sum(n14,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1608,1631,theory(equality)]) ).
cnf(1647,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1646,163,theory(equality)]),405,theory(equality)]),164,theory(equality)]),406,theory(equality)]),231,theory(equality)]),269,theory(equality)]) ).
cnf(1648,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[1647,130,theory(equality)]) ).
cnf(1662,plain,
( sum(pred(sum(n13,n11)),sum(n10,pred(sum(n13,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| 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(spm,[status(thm)],[1608,1648,theory(equality)]) ).
cnf(1663,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1662,179,theory(equality)]),406,theory(equality)]),180,theory(equality)]),407,theory(equality)]),232,theory(equality)]),286,theory(equality)]) ).
cnf(1664,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| 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(sr,[status(thm)],[1663,132,theory(equality)]) ).
cnf(1677,plain,
( sum(pred(sum(n12,n11)),sum(n10,pred(sum(n12,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1608,1664,theory(equality)]) ).
cnf(1678,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1677,195,theory(equality)]),407,theory(equality)]),196,theory(equality)]),408,theory(equality)]),233,theory(equality)]),287,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[1678,134,theory(equality)]) ).
cnf(1691,plain,
( sum(pred(sum(n11,n11)),sum(n10,pred(sum(n11,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1608,1679,theory(equality)]) ).
cnf(1692,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1691,211,theory(equality)]),408,theory(equality)]),212,theory(equality)]),409,theory(equality)]),234,theory(equality)]),304,theory(equality)]) ).
cnf(1693,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1692,136,theory(equality)]) ).
cnf(1704,plain,
( sum(pred(sum(n10,n11)),sum(n10,pred(sum(n10,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[1608,1693,theory(equality)]) ).
cnf(1705,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1704,227,theory(equality)]),409,theory(equality)]),228,theory(equality)]),410,theory(equality)]),235,theory(equality)]),321,theory(equality)]) ).
cnf(1706,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| 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(sr,[status(thm)],[1705,138,theory(equality)]) ).
cnf(1716,plain,
( sum(pred(sum(n9,n11)),sum(n10,pred(sum(n9,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1608,1706,theory(equality)]) ).
cnf(1717,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1716,243,theory(equality)]),410,theory(equality)]),244,theory(equality)]),411,theory(equality)]),236,theory(equality)]),338,theory(equality)]) ).
cnf(1718,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1717,124,theory(equality)]) ).
cnf(1727,plain,
( sum(pred(sum(n8,n11)),sum(n10,pred(sum(n8,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[1608,1718,theory(equality)]) ).
cnf(1728,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1727,259,theory(equality)]),411,theory(equality)]),260,theory(equality)]),412,theory(equality)]),237,theory(equality)]),355,theory(equality)]) ).
cnf(1729,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[1728,126,theory(equality)]) ).
cnf(1744,plain,
( sum(pred(sum(n7,n11)),sum(n10,pred(sum(n7,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1608,1729,theory(equality)]) ).
cnf(1745,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1744,275,theory(equality)]),412,theory(equality)]),276,theory(equality)]),413,theory(equality)]),238,theory(equality)]),372,theory(equality)]) ).
cnf(1746,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1745,128,theory(equality)]) ).
cnf(1753,plain,
( sum(pred(sum(n6,n11)),sum(n10,pred(sum(n6,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[1608,1746,theory(equality)]) ).
cnf(1754,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1753,291,theory(equality)]),413,theory(equality)]),292,theory(equality)]),414,theory(equality)]),223,theory(equality)]),389,theory(equality)]) ).
cnf(1755,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[1754,130,theory(equality)]) ).
cnf(1761,plain,
( sum(pred(sum(n5,n11)),sum(n10,pred(sum(n5,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1608,1755,theory(equality)]) ).
cnf(1762,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1761,307,theory(equality)]),414,theory(equality)]),308,theory(equality)]),399,theory(equality)]),224,theory(equality)]),150,theory(equality)]) ).
cnf(1763,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1762,132,theory(equality)]) ).
cnf(1768,plain,
( sum(pred(sum(n4,n11)),sum(n10,pred(sum(n4,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[1608,1763,theory(equality)]) ).
cnf(1769,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1768,323,theory(equality)]),399,theory(equality)]),324,theory(equality)]),400,theory(equality)]),225,theory(equality)]),167,theory(equality)]) ).
cnf(1770,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[1769,134,theory(equality)]) ).
cnf(1774,plain,
( sum(pred(sum(n3,n11)),sum(n10,pred(sum(n3,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1608,1770,theory(equality)]) ).
cnf(1775,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1774,339,theory(equality)]),400,theory(equality)]),340,theory(equality)]),401,theory(equality)]),226,theory(equality)]),184,theory(equality)]) ).
cnf(1776,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1775,136,theory(equality)]) ).
cnf(1779,plain,
( sum(pred(sum(n2,n11)),sum(n10,pred(sum(n2,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1608,1776,theory(equality)]) ).
cnf(1780,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1779,355,theory(equality)]),401,theory(equality)]),356,theory(equality)]),402,theory(equality)]),227,theory(equality)]),201,theory(equality)]) ).
cnf(1781,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1780,138,theory(equality)]) ).
cnf(1783,plain,
( sum(pred(sum(n1,n11)),sum(n10,pred(sum(n1,n10)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(spm,[status(thm)],[1608,1781,theory(equality)]) ).
cnf(1784,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1783,371,theory(equality)]),402,theory(equality)]),372,theory(equality)]),403,theory(equality)]),228,theory(equality)]),218,theory(equality)]) ).
cnf(1785,plain,
( esk2_0 = n1
| 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(sr,[status(thm)],[1784,124,theory(equality)]) ).
cnf(1794,plain,
( sum(pred(sum(esk1_0,succ(n9))),sum(n9,pred(sum(esk1_0,n9)))) = esk3_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[140,1785,theory(equality)]) ).
cnf(1795,plain,
( sum(pred(sum(n0,succ(n9))),sum(n9,pred(sum(n0,n9)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[446,1785,theory(equality)]) ).
cnf(1796,plain,
( sum(pred(sum(esk1_0,n10)),sum(n9,pred(sum(esk1_0,n9)))) = esk3_0
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[1794,421,theory(equality)]) ).
cnf(1797,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
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)],[1795,421,theory(equality)]),388,theory(equality)]),404,theory(equality)]),389,theory(equality)]),405,theory(equality)]),246,theory(equality)]),253,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
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(sr,[status(thm)],[1797,129,theory(equality)]) ).
cnf(1817,plain,
( sum(pred(sum(n15,n10)),sum(n9,pred(sum(n15,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| 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(spm,[status(thm)],[1796,1798,theory(equality)]) ).
cnf(1818,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1817,148,theory(equality)]),405,theory(equality)]),149,theory(equality)]),406,theory(equality)]),247,theory(equality)]),270,theory(equality)]) ).
cnf(1819,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = 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(sr,[status(thm)],[1818,131,theory(equality)]) ).
cnf(1834,plain,
( sum(pred(sum(n14,n10)),sum(n9,pred(sum(n14,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1796,1819,theory(equality)]) ).
cnf(1835,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1834,164,theory(equality)]),406,theory(equality)]),165,theory(equality)]),407,theory(equality)]),248,theory(equality)]),271,theory(equality)]) ).
cnf(1836,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[1835,133,theory(equality)]) ).
cnf(1850,plain,
( sum(pred(sum(n13,n10)),sum(n9,pred(sum(n13,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| 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(spm,[status(thm)],[1796,1836,theory(equality)]) ).
cnf(1851,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1850,180,theory(equality)]),407,theory(equality)]),181,theory(equality)]),408,theory(equality)]),249,theory(equality)]),288,theory(equality)]) ).
cnf(1852,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = 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(sr,[status(thm)],[1851,135,theory(equality)]) ).
cnf(1865,plain,
( sum(pred(sum(n12,n10)),sum(n9,pred(sum(n12,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1796,1852,theory(equality)]) ).
cnf(1866,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1865,196,theory(equality)]),408,theory(equality)]),197,theory(equality)]),409,theory(equality)]),250,theory(equality)]),305,theory(equality)]) ).
cnf(1867,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[1866,137,theory(equality)]) ).
cnf(1879,plain,
( sum(pred(sum(n11,n10)),sum(n9,pred(sum(n11,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1796,1867,theory(equality)]) ).
cnf(1880,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1879,212,theory(equality)]),409,theory(equality)]),213,theory(equality)]),410,theory(equality)]),251,theory(equality)]),322,theory(equality)]) ).
cnf(1881,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1880,139,theory(equality)]) ).
cnf(1892,plain,
( sum(pred(sum(n10,n10)),sum(n9,pred(sum(n10,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[1796,1881,theory(equality)]) ).
cnf(1893,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1892,228,theory(equality)]),410,theory(equality)]),229,theory(equality)]),411,theory(equality)]),252,theory(equality)]),339,theory(equality)]) ).
cnf(1894,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| 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(sr,[status(thm)],[1893,125,theory(equality)]) ).
cnf(1904,plain,
( sum(pred(sum(n9,n10)),sum(n9,pred(sum(n9,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1796,1894,theory(equality)]) ).
cnf(1905,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1904,244,theory(equality)]),411,theory(equality)]),245,theory(equality)]),412,theory(equality)]),253,theory(equality)]),356,theory(equality)]) ).
cnf(1906,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1905,127,theory(equality)]) ).
cnf(1915,plain,
( sum(pred(sum(n8,n10)),sum(n9,pred(sum(n8,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[1796,1906,theory(equality)]) ).
cnf(1916,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1915,260,theory(equality)]),412,theory(equality)]),261,theory(equality)]),413,theory(equality)]),254,theory(equality)]),373,theory(equality)]) ).
cnf(1917,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[1916,129,theory(equality)]) ).
cnf(1925,plain,
( sum(pred(sum(n7,n10)),sum(n9,pred(sum(n7,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1796,1917,theory(equality)]) ).
cnf(1926,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1925,276,theory(equality)]),413,theory(equality)]),277,theory(equality)]),414,theory(equality)]),239,theory(equality)]),390,theory(equality)]) ).
cnf(1927,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1926,131,theory(equality)]) ).
cnf(1942,plain,
( sum(pred(sum(n6,n10)),sum(n9,pred(sum(n6,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[1796,1927,theory(equality)]) ).
cnf(1943,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1942,292,theory(equality)]),414,theory(equality)]),293,theory(equality)]),399,theory(equality)]),240,theory(equality)]),151,theory(equality)]) ).
cnf(1944,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[1943,133,theory(equality)]) ).
cnf(1950,plain,
( sum(pred(sum(n5,n10)),sum(n9,pred(sum(n5,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1796,1944,theory(equality)]) ).
cnf(1951,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1950,308,theory(equality)]),399,theory(equality)]),309,theory(equality)]),400,theory(equality)]),241,theory(equality)]),168,theory(equality)]) ).
cnf(1952,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1951,135,theory(equality)]) ).
cnf(1957,plain,
( sum(pred(sum(n4,n10)),sum(n9,pred(sum(n4,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[1796,1952,theory(equality)]) ).
cnf(1958,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1957,324,theory(equality)]),400,theory(equality)]),325,theory(equality)]),401,theory(equality)]),242,theory(equality)]),185,theory(equality)]) ).
cnf(1959,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[1958,137,theory(equality)]) ).
cnf(1963,plain,
( sum(pred(sum(n3,n10)),sum(n9,pred(sum(n3,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1796,1959,theory(equality)]) ).
cnf(1964,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1963,340,theory(equality)]),401,theory(equality)]),341,theory(equality)]),402,theory(equality)]),243,theory(equality)]),202,theory(equality)]) ).
cnf(1965,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1964,139,theory(equality)]) ).
cnf(1968,plain,
( sum(pred(sum(n2,n10)),sum(n9,pred(sum(n2,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1796,1965,theory(equality)]) ).
cnf(1969,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1968,356,theory(equality)]),402,theory(equality)]),357,theory(equality)]),403,theory(equality)]),244,theory(equality)]),219,theory(equality)]) ).
cnf(1970,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1969,125,theory(equality)]) ).
cnf(1972,plain,
( sum(pred(sum(n1,n10)),sum(n9,pred(sum(n1,n9)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(spm,[status(thm)],[1796,1970,theory(equality)]) ).
cnf(1973,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1972,372,theory(equality)]),403,theory(equality)]),373,theory(equality)]),404,theory(equality)]),245,theory(equality)]),236,theory(equality)]) ).
cnf(1974,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(sr,[status(thm)],[1973,127,theory(equality)]) ).
cnf(1982,plain,
( sum(pred(sum(esk1_0,succ(n8))),sum(n8,pred(sum(esk1_0,n8)))) = esk3_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[140,1974,theory(equality)]) ).
cnf(1983,plain,
( sum(pred(sum(n0,succ(n8))),sum(n8,pred(sum(n0,n8)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(spm,[status(thm)],[446,1974,theory(equality)]) ).
cnf(1984,plain,
( sum(pred(sum(esk1_0,n9)),sum(n8,pred(sum(esk1_0,n8)))) = esk3_0
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[1982,422,theory(equality)]) ).
cnf(1985,plain,
( n7 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(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)],[1983,422,theory(equality)]),389,theory(equality)]),405,theory(equality)]),390,theory(equality)]),406,theory(equality)]),263,theory(equality)]),255,theory(equality)]) ).
cnf(1986,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[1985,132,theory(equality)]) ).
cnf(2003,plain,
( sum(pred(sum(n15,n9)),sum(n8,pred(sum(n15,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| 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(spm,[status(thm)],[1984,1986,theory(equality)]) ).
cnf(2006,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2003,149,theory(equality)]),406,theory(equality)]),150,theory(equality)]),407,theory(equality)]),264,theory(equality)]),272,theory(equality)]) ).
cnf(2007,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| 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(sr,[status(thm)],[2006,134,theory(equality)]) ).
cnf(2022,plain,
( sum(pred(sum(n14,n9)),sum(n8,pred(sum(n14,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1984,2007,theory(equality)]) ).
cnf(2023,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2022,165,theory(equality)]),407,theory(equality)]),166,theory(equality)]),408,theory(equality)]),265,theory(equality)]),289,theory(equality)]) ).
cnf(2024,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2023,136,theory(equality)]) ).
cnf(2038,plain,
( sum(pred(sum(n13,n9)),sum(n8,pred(sum(n13,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| 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(spm,[status(thm)],[1984,2024,theory(equality)]) ).
cnf(2039,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2038,181,theory(equality)]),408,theory(equality)]),182,theory(equality)]),409,theory(equality)]),266,theory(equality)]),306,theory(equality)]) ).
cnf(2040,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| 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(sr,[status(thm)],[2039,138,theory(equality)]) ).
cnf(2053,plain,
( sum(pred(sum(n12,n9)),sum(n8,pred(sum(n12,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[1984,2040,theory(equality)]) ).
cnf(2054,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2053,197,theory(equality)]),409,theory(equality)]),198,theory(equality)]),410,theory(equality)]),267,theory(equality)]),323,theory(equality)]) ).
cnf(2055,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2054,124,theory(equality)]) ).
cnf(2067,plain,
( sum(pred(sum(n11,n9)),sum(n8,pred(sum(n11,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1984,2055,theory(equality)]) ).
cnf(2068,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2067,213,theory(equality)]),410,theory(equality)]),214,theory(equality)]),411,theory(equality)]),268,theory(equality)]),340,theory(equality)]) ).
cnf(2069,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2068,126,theory(equality)]) ).
cnf(2080,plain,
( sum(pred(sum(n10,n9)),sum(n8,pred(sum(n10,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[1984,2069,theory(equality)]) ).
cnf(2081,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2080,229,theory(equality)]),411,theory(equality)]),230,theory(equality)]),412,theory(equality)]),269,theory(equality)]),357,theory(equality)]) ).
cnf(2082,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| 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(sr,[status(thm)],[2081,128,theory(equality)]) ).
cnf(2092,plain,
( sum(pred(sum(n9,n9)),sum(n8,pred(sum(n9,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1984,2082,theory(equality)]) ).
cnf(2093,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2092,245,theory(equality)]),412,theory(equality)]),246,theory(equality)]),413,theory(equality)]),270,theory(equality)]),374,theory(equality)]) ).
cnf(2094,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2093,130,theory(equality)]) ).
cnf(2103,plain,
( sum(pred(sum(n8,n9)),sum(n8,pred(sum(n8,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[1984,2094,theory(equality)]) ).
cnf(2104,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2103,261,theory(equality)]),413,theory(equality)]),262,theory(equality)]),414,theory(equality)]),255,theory(equality)]),391,theory(equality)]) ).
cnf(2105,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[2104,132,theory(equality)]) ).
cnf(2113,plain,
( sum(pred(sum(n7,n9)),sum(n8,pred(sum(n7,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1984,2105,theory(equality)]) ).
cnf(2114,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2113,277,theory(equality)]),414,theory(equality)]),278,theory(equality)]),399,theory(equality)]),256,theory(equality)]),152,theory(equality)]) ).
cnf(2115,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2114,134,theory(equality)]) ).
cnf(2130,plain,
( sum(pred(sum(n6,n9)),sum(n8,pred(sum(n6,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[1984,2115,theory(equality)]) ).
cnf(2131,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2130,293,theory(equality)]),399,theory(equality)]),294,theory(equality)]),400,theory(equality)]),257,theory(equality)]),169,theory(equality)]) ).
cnf(2132,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[2131,136,theory(equality)]) ).
cnf(2138,plain,
( sum(pred(sum(n5,n9)),sum(n8,pred(sum(n5,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1984,2132,theory(equality)]) ).
cnf(2139,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2138,309,theory(equality)]),400,theory(equality)]),310,theory(equality)]),401,theory(equality)]),258,theory(equality)]),186,theory(equality)]) ).
cnf(2140,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2139,138,theory(equality)]) ).
cnf(2145,plain,
( sum(pred(sum(n4,n9)),sum(n8,pred(sum(n4,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[1984,2140,theory(equality)]) ).
cnf(2146,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2145,325,theory(equality)]),401,theory(equality)]),326,theory(equality)]),402,theory(equality)]),259,theory(equality)]),203,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[2146,124,theory(equality)]) ).
cnf(2151,plain,
( sum(pred(sum(n3,n9)),sum(n8,pred(sum(n3,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1984,2147,theory(equality)]) ).
cnf(2152,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2151,341,theory(equality)]),402,theory(equality)]),342,theory(equality)]),403,theory(equality)]),260,theory(equality)]),220,theory(equality)]) ).
cnf(2153,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2152,126,theory(equality)]) ).
cnf(2156,plain,
( sum(pred(sum(n2,n9)),sum(n8,pred(sum(n2,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1984,2153,theory(equality)]) ).
cnf(2157,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2156,357,theory(equality)]),403,theory(equality)]),358,theory(equality)]),404,theory(equality)]),261,theory(equality)]),237,theory(equality)]) ).
cnf(2158,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2157,128,theory(equality)]) ).
cnf(2160,plain,
( sum(pred(sum(n1,n9)),sum(n8,pred(sum(n1,n8)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(spm,[status(thm)],[1984,2158,theory(equality)]) ).
cnf(2161,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2160,373,theory(equality)]),404,theory(equality)]),374,theory(equality)]),405,theory(equality)]),262,theory(equality)]),254,theory(equality)]) ).
cnf(2162,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(sr,[status(thm)],[2161,130,theory(equality)]) ).
cnf(2169,plain,
( sum(pred(sum(esk1_0,succ(n7))),sum(n7,pred(sum(esk1_0,n7)))) = esk3_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[140,2162,theory(equality)]) ).
cnf(2170,plain,
( sum(pred(sum(n0,succ(n7))),sum(n7,pred(sum(n0,n7)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[446,2162,theory(equality)]) ).
cnf(2171,plain,
( sum(pred(sum(esk1_0,n8)),sum(n7,pred(sum(esk1_0,n7)))) = esk3_0
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[2169,423,theory(equality)]) ).
cnf(2172,plain,
( n4 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
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)],[2170,423,theory(equality)]),390,theory(equality)]),406,theory(equality)]),391,theory(equality)]),407,theory(equality)]),280,theory(equality)]),273,theory(equality)]) ).
cnf(2173,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(sr,[status(thm)],[2172,135,theory(equality)]) ).
cnf(2190,plain,
( sum(pred(sum(n15,n8)),sum(n7,pred(sum(n15,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| 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(spm,[status(thm)],[2171,2173,theory(equality)]) ).
cnf(2193,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2190,150,theory(equality)]),407,theory(equality)]),151,theory(equality)]),408,theory(equality)]),281,theory(equality)]),290,theory(equality)]) ).
cnf(2194,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| 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(sr,[status(thm)],[2193,137,theory(equality)]) ).
cnf(2209,plain,
( sum(pred(sum(n14,n8)),sum(n7,pred(sum(n14,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[2171,2194,theory(equality)]) ).
cnf(2210,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2209,166,theory(equality)]),408,theory(equality)]),167,theory(equality)]),409,theory(equality)]),282,theory(equality)]),307,theory(equality)]) ).
cnf(2211,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2210,139,theory(equality)]) ).
cnf(2225,plain,
( sum(pred(sum(n13,n8)),sum(n7,pred(sum(n13,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| 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(spm,[status(thm)],[2171,2211,theory(equality)]) ).
cnf(2226,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2225,182,theory(equality)]),409,theory(equality)]),183,theory(equality)]),410,theory(equality)]),283,theory(equality)]),324,theory(equality)]) ).
cnf(2227,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| 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(sr,[status(thm)],[2226,125,theory(equality)]) ).
cnf(2240,plain,
( sum(pred(sum(n12,n8)),sum(n7,pred(sum(n12,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[2171,2227,theory(equality)]) ).
cnf(2241,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2240,198,theory(equality)]),410,theory(equality)]),199,theory(equality)]),411,theory(equality)]),284,theory(equality)]),341,theory(equality)]) ).
cnf(2242,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2241,127,theory(equality)]) ).
cnf(2254,plain,
( sum(pred(sum(n11,n8)),sum(n7,pred(sum(n11,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2171,2242,theory(equality)]) ).
cnf(2255,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2254,214,theory(equality)]),411,theory(equality)]),215,theory(equality)]),412,theory(equality)]),285,theory(equality)]),358,theory(equality)]) ).
cnf(2256,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2255,129,theory(equality)]) ).
cnf(2267,plain,
( sum(pred(sum(n10,n8)),sum(n7,pred(sum(n10,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[2171,2256,theory(equality)]) ).
cnf(2268,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2267,230,theory(equality)]),412,theory(equality)]),231,theory(equality)]),413,theory(equality)]),286,theory(equality)]),375,theory(equality)]) ).
cnf(2269,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| 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(sr,[status(thm)],[2268,131,theory(equality)]) ).
cnf(2279,plain,
( sum(pred(sum(n9,n8)),sum(n7,pred(sum(n9,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2171,2269,theory(equality)]) ).
cnf(2280,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2279,246,theory(equality)]),413,theory(equality)]),247,theory(equality)]),414,theory(equality)]),271,theory(equality)]),392,theory(equality)]) ).
cnf(2281,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2280,133,theory(equality)]) ).
cnf(2290,plain,
( sum(pred(sum(n8,n8)),sum(n7,pred(sum(n8,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[2171,2281,theory(equality)]) ).
cnf(2291,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2290,262,theory(equality)]),414,theory(equality)]),263,theory(equality)]),399,theory(equality)]),272,theory(equality)]),153,theory(equality)]) ).
cnf(2292,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[2291,135,theory(equality)]) ).
cnf(2300,plain,
( sum(pred(sum(n7,n8)),sum(n7,pred(sum(n7,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2171,2292,theory(equality)]) ).
cnf(2301,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2300,278,theory(equality)]),399,theory(equality)]),279,theory(equality)]),400,theory(equality)]),273,theory(equality)]),170,theory(equality)]) ).
cnf(2302,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2301,137,theory(equality)]) ).
cnf(2317,plain,
( sum(pred(sum(n6,n8)),sum(n7,pred(sum(n6,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[2171,2302,theory(equality)]) ).
cnf(2318,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2317,294,theory(equality)]),400,theory(equality)]),295,theory(equality)]),401,theory(equality)]),274,theory(equality)]),187,theory(equality)]) ).
cnf(2319,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[2318,139,theory(equality)]) ).
cnf(2325,plain,
( sum(pred(sum(n5,n8)),sum(n7,pred(sum(n5,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2171,2319,theory(equality)]) ).
cnf(2326,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2325,310,theory(equality)]),401,theory(equality)]),311,theory(equality)]),402,theory(equality)]),275,theory(equality)]),204,theory(equality)]) ).
cnf(2327,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2326,125,theory(equality)]) ).
cnf(2332,plain,
( sum(pred(sum(n4,n8)),sum(n7,pred(sum(n4,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[2171,2327,theory(equality)]) ).
cnf(2333,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2332,326,theory(equality)]),402,theory(equality)]),327,theory(equality)]),403,theory(equality)]),276,theory(equality)]),221,theory(equality)]) ).
cnf(2334,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[2333,127,theory(equality)]) ).
cnf(2338,plain,
( sum(pred(sum(n3,n8)),sum(n7,pred(sum(n3,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2171,2334,theory(equality)]) ).
cnf(2339,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2338,342,theory(equality)]),403,theory(equality)]),343,theory(equality)]),404,theory(equality)]),277,theory(equality)]),238,theory(equality)]) ).
cnf(2340,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2339,129,theory(equality)]) ).
cnf(2343,plain,
( sum(pred(sum(n2,n8)),sum(n7,pred(sum(n2,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2171,2340,theory(equality)]) ).
cnf(2344,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2343,358,theory(equality)]),404,theory(equality)]),359,theory(equality)]),405,theory(equality)]),278,theory(equality)]),239,theory(equality)]) ).
cnf(2345,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2344,131,theory(equality)]) ).
cnf(2347,plain,
( sum(pred(sum(n1,n8)),sum(n7,pred(sum(n1,n7)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(spm,[status(thm)],[2171,2345,theory(equality)]) ).
cnf(2348,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2347,374,theory(equality)]),405,theory(equality)]),375,theory(equality)]),406,theory(equality)]),279,theory(equality)]),256,theory(equality)]) ).
cnf(2349,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(sr,[status(thm)],[2348,133,theory(equality)]) ).
cnf(2355,plain,
( sum(pred(sum(esk1_0,succ(n6))),sum(n6,pred(sum(esk1_0,n6)))) = esk3_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[140,2349,theory(equality)]) ).
cnf(2356,plain,
( sum(pred(sum(n0,succ(n6))),sum(n6,pred(sum(n0,n6)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(spm,[status(thm)],[446,2349,theory(equality)]) ).
cnf(2357,plain,
( sum(pred(sum(esk1_0,n7)),sum(n6,pred(sum(esk1_0,n6)))) = esk3_0
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[2355,424,theory(equality)]) ).
cnf(2358,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(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)],[2356,424,theory(equality)]),391,theory(equality)]),407,theory(equality)]),392,theory(equality)]),408,theory(equality)]),297,theory(equality)]),291,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
| 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(sr,[status(thm)],[2358,138,theory(equality)]) ).
cnf(2378,plain,
( sum(pred(sum(n15,n7)),sum(n6,pred(sum(n15,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| 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(spm,[status(thm)],[2357,2359,theory(equality)]) ).
cnf(2379,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2378,151,theory(equality)]),408,theory(equality)]),152,theory(equality)]),409,theory(equality)]),298,theory(equality)]),308,theory(equality)]) ).
cnf(2380,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| 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(sr,[status(thm)],[2379,124,theory(equality)]) ).
cnf(2395,plain,
( sum(pred(sum(n14,n7)),sum(n6,pred(sum(n14,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[2357,2380,theory(equality)]) ).
cnf(2396,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2395,167,theory(equality)]),409,theory(equality)]),168,theory(equality)]),410,theory(equality)]),299,theory(equality)]),325,theory(equality)]) ).
cnf(2397,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2396,126,theory(equality)]) ).
cnf(2411,plain,
( sum(pred(sum(n13,n7)),sum(n6,pred(sum(n13,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| 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(spm,[status(thm)],[2357,2397,theory(equality)]) ).
cnf(2412,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2411,183,theory(equality)]),410,theory(equality)]),184,theory(equality)]),411,theory(equality)]),300,theory(equality)]),342,theory(equality)]) ).
cnf(2413,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| 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(sr,[status(thm)],[2412,128,theory(equality)]) ).
cnf(2426,plain,
( sum(pred(sum(n12,n7)),sum(n6,pred(sum(n12,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[2357,2413,theory(equality)]) ).
cnf(2427,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2426,199,theory(equality)]),411,theory(equality)]),200,theory(equality)]),412,theory(equality)]),301,theory(equality)]),359,theory(equality)]) ).
cnf(2428,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2427,130,theory(equality)]) ).
cnf(2443,plain,
( sum(pred(sum(n11,n7)),sum(n6,pred(sum(n11,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2357,2428,theory(equality)]) ).
cnf(2444,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2443,215,theory(equality)]),412,theory(equality)]),216,theory(equality)]),413,theory(equality)]),302,theory(equality)]),376,theory(equality)]) ).
cnf(2445,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2444,132,theory(equality)]) ).
cnf(2456,plain,
( sum(pred(sum(n10,n7)),sum(n6,pred(sum(n10,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[2357,2445,theory(equality)]) ).
cnf(2457,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2456,231,theory(equality)]),413,theory(equality)]),232,theory(equality)]),414,theory(equality)]),287,theory(equality)]),393,theory(equality)]) ).
cnf(2458,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| 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(sr,[status(thm)],[2457,134,theory(equality)]) ).
cnf(2468,plain,
( sum(pred(sum(n9,n7)),sum(n6,pred(sum(n9,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2357,2458,theory(equality)]) ).
cnf(2469,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2468,247,theory(equality)]),414,theory(equality)]),248,theory(equality)]),399,theory(equality)]),288,theory(equality)]),154,theory(equality)]) ).
cnf(2470,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2469,136,theory(equality)]) ).
cnf(2479,plain,
( sum(pred(sum(n8,n7)),sum(n6,pred(sum(n8,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[2357,2470,theory(equality)]) ).
cnf(2480,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2479,263,theory(equality)]),399,theory(equality)]),264,theory(equality)]),400,theory(equality)]),289,theory(equality)]),171,theory(equality)]) ).
cnf(2481,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[2480,138,theory(equality)]) ).
cnf(2489,plain,
( sum(pred(sum(n7,n7)),sum(n6,pred(sum(n7,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2357,2481,theory(equality)]) ).
cnf(2490,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2489,279,theory(equality)]),400,theory(equality)]),280,theory(equality)]),401,theory(equality)]),290,theory(equality)]),188,theory(equality)]) ).
cnf(2491,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2490,124,theory(equality)]) ).
cnf(2498,plain,
( sum(pred(sum(n6,n7)),sum(n6,pred(sum(n6,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[2357,2491,theory(equality)]) ).
cnf(2499,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2498,295,theory(equality)]),401,theory(equality)]),296,theory(equality)]),402,theory(equality)]),291,theory(equality)]),205,theory(equality)]) ).
cnf(2500,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[2499,126,theory(equality)]) ).
cnf(2506,plain,
( sum(pred(sum(n5,n7)),sum(n6,pred(sum(n5,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2357,2500,theory(equality)]) ).
cnf(2507,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2506,311,theory(equality)]),402,theory(equality)]),312,theory(equality)]),403,theory(equality)]),292,theory(equality)]),222,theory(equality)]) ).
cnf(2508,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2507,128,theory(equality)]) ).
cnf(2513,plain,
( sum(pred(sum(n4,n7)),sum(n6,pred(sum(n4,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[2357,2508,theory(equality)]) ).
cnf(2514,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2513,327,theory(equality)]),403,theory(equality)]),328,theory(equality)]),404,theory(equality)]),293,theory(equality)]),223,theory(equality)]) ).
cnf(2515,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[2514,130,theory(equality)]) ).
cnf(2519,plain,
( sum(pred(sum(n3,n7)),sum(n6,pred(sum(n3,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2357,2515,theory(equality)]) ).
cnf(2520,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2519,343,theory(equality)]),404,theory(equality)]),344,theory(equality)]),405,theory(equality)]),294,theory(equality)]),240,theory(equality)]) ).
cnf(2521,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2520,132,theory(equality)]) ).
cnf(2524,plain,
( sum(pred(sum(n2,n7)),sum(n6,pred(sum(n2,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2357,2521,theory(equality)]) ).
cnf(2525,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2524,359,theory(equality)]),405,theory(equality)]),360,theory(equality)]),406,theory(equality)]),295,theory(equality)]),257,theory(equality)]) ).
cnf(2526,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2525,134,theory(equality)]) ).
cnf(2528,plain,
( sum(pred(sum(n1,n7)),sum(n6,pred(sum(n1,n6)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(spm,[status(thm)],[2357,2526,theory(equality)]) ).
cnf(2529,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2528,375,theory(equality)]),406,theory(equality)]),376,theory(equality)]),407,theory(equality)]),296,theory(equality)]),274,theory(equality)]) ).
cnf(2530,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(sr,[status(thm)],[2529,136,theory(equality)]) ).
cnf(2535,plain,
( sum(pred(sum(esk1_0,succ(n5))),sum(n5,pred(sum(esk1_0,n5)))) = esk3_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[140,2530,theory(equality)]) ).
cnf(2536,plain,
( sum(pred(sum(n0,succ(n5))),sum(n5,pred(sum(n0,n5)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[446,2530,theory(equality)]) ).
cnf(2537,plain,
( sum(pred(sum(esk1_0,n6)),sum(n5,pred(sum(esk1_0,n5)))) = esk3_0
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[2535,425,theory(equality)]) ).
cnf(2538,plain,
( n14 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
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)],[2536,425,theory(equality)]),392,theory(equality)]),408,theory(equality)]),393,theory(equality)]),409,theory(equality)]),314,theory(equality)]),309,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
| 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 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(sr,[status(thm)],[2538,125,theory(equality)]) ).
cnf(2558,plain,
( sum(pred(sum(n15,n6)),sum(n5,pred(sum(n15,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| 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(spm,[status(thm)],[2537,2539,theory(equality)]) ).
cnf(2559,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2558,152,theory(equality)]),409,theory(equality)]),153,theory(equality)]),410,theory(equality)]),315,theory(equality)]),326,theory(equality)]) ).
cnf(2560,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| 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(sr,[status(thm)],[2559,127,theory(equality)]) ).
cnf(2575,plain,
( sum(pred(sum(n14,n6)),sum(n5,pred(sum(n14,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[2537,2560,theory(equality)]) ).
cnf(2576,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2575,168,theory(equality)]),410,theory(equality)]),169,theory(equality)]),411,theory(equality)]),316,theory(equality)]),343,theory(equality)]) ).
cnf(2577,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2576,129,theory(equality)]) ).
cnf(2591,plain,
( sum(pred(sum(n13,n6)),sum(n5,pred(sum(n13,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| 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(spm,[status(thm)],[2537,2577,theory(equality)]) ).
cnf(2592,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2591,184,theory(equality)]),411,theory(equality)]),185,theory(equality)]),412,theory(equality)]),317,theory(equality)]),360,theory(equality)]) ).
cnf(2593,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| 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(sr,[status(thm)],[2592,131,theory(equality)]) ).
cnf(2606,plain,
( sum(pred(sum(n12,n6)),sum(n5,pred(sum(n12,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[2537,2593,theory(equality)]) ).
cnf(2607,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2606,200,theory(equality)]),412,theory(equality)]),201,theory(equality)]),413,theory(equality)]),318,theory(equality)]),377,theory(equality)]) ).
cnf(2608,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2607,133,theory(equality)]) ).
cnf(2620,plain,
( sum(pred(sum(n11,n6)),sum(n5,pred(sum(n11,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2537,2608,theory(equality)]) ).
cnf(2621,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2620,216,theory(equality)]),413,theory(equality)]),217,theory(equality)]),414,theory(equality)]),303,theory(equality)]),394,theory(equality)]) ).
cnf(2622,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2621,135,theory(equality)]) ).
cnf(2633,plain,
( sum(pred(sum(n10,n6)),sum(n5,pred(sum(n10,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[2537,2622,theory(equality)]) ).
cnf(2634,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2633,232,theory(equality)]),414,theory(equality)]),233,theory(equality)]),399,theory(equality)]),304,theory(equality)]),155,theory(equality)]) ).
cnf(2635,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| 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(sr,[status(thm)],[2634,137,theory(equality)]) ).
cnf(2645,plain,
( sum(pred(sum(n9,n6)),sum(n5,pred(sum(n9,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2537,2635,theory(equality)]) ).
cnf(2646,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2645,248,theory(equality)]),399,theory(equality)]),249,theory(equality)]),400,theory(equality)]),305,theory(equality)]),172,theory(equality)]) ).
cnf(2647,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2646,139,theory(equality)]) ).
cnf(2656,plain,
( sum(pred(sum(n8,n6)),sum(n5,pred(sum(n8,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[2537,2647,theory(equality)]) ).
cnf(2657,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2656,264,theory(equality)]),400,theory(equality)]),265,theory(equality)]),401,theory(equality)]),306,theory(equality)]),189,theory(equality)]) ).
cnf(2658,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[2657,125,theory(equality)]) ).
cnf(2673,plain,
( sum(pred(sum(n7,n6)),sum(n5,pred(sum(n7,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2537,2658,theory(equality)]) ).
cnf(2674,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2673,280,theory(equality)]),401,theory(equality)]),281,theory(equality)]),402,theory(equality)]),307,theory(equality)]),206,theory(equality)]) ).
cnf(2675,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2674,127,theory(equality)]) ).
cnf(2682,plain,
( sum(pred(sum(n6,n6)),sum(n5,pred(sum(n6,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[2537,2675,theory(equality)]) ).
cnf(2683,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2682,296,theory(equality)]),402,theory(equality)]),297,theory(equality)]),403,theory(equality)]),308,theory(equality)]),207,theory(equality)]) ).
cnf(2684,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[2683,129,theory(equality)]) ).
cnf(2690,plain,
( sum(pred(sum(n5,n6)),sum(n5,pred(sum(n5,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2537,2684,theory(equality)]) ).
cnf(2691,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2690,312,theory(equality)]),403,theory(equality)]),313,theory(equality)]),404,theory(equality)]),309,theory(equality)]),224,theory(equality)]) ).
cnf(2692,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2691,131,theory(equality)]) ).
cnf(2697,plain,
( sum(pred(sum(n4,n6)),sum(n5,pred(sum(n4,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[2537,2692,theory(equality)]) ).
cnf(2698,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2697,328,theory(equality)]),404,theory(equality)]),329,theory(equality)]),405,theory(equality)]),310,theory(equality)]),241,theory(equality)]) ).
cnf(2699,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[2698,133,theory(equality)]) ).
cnf(2703,plain,
( sum(pred(sum(n3,n6)),sum(n5,pred(sum(n3,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2537,2699,theory(equality)]) ).
cnf(2704,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2703,344,theory(equality)]),405,theory(equality)]),345,theory(equality)]),406,theory(equality)]),311,theory(equality)]),258,theory(equality)]) ).
cnf(2705,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2704,135,theory(equality)]) ).
cnf(2708,plain,
( sum(pred(sum(n2,n6)),sum(n5,pred(sum(n2,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2537,2705,theory(equality)]) ).
cnf(2709,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2708,360,theory(equality)]),406,theory(equality)]),361,theory(equality)]),407,theory(equality)]),312,theory(equality)]),275,theory(equality)]) ).
cnf(2710,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2709,137,theory(equality)]) ).
cnf(2712,plain,
( sum(pred(sum(n1,n6)),sum(n5,pred(sum(n1,n5)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(spm,[status(thm)],[2537,2710,theory(equality)]) ).
cnf(2713,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2712,376,theory(equality)]),407,theory(equality)]),377,theory(equality)]),408,theory(equality)]),313,theory(equality)]),292,theory(equality)]) ).
cnf(2714,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(sr,[status(thm)],[2713,139,theory(equality)]) ).
cnf(2718,plain,
( sum(pred(sum(esk1_0,succ(n4))),sum(n4,pred(sum(esk1_0,n4)))) = esk3_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[140,2714,theory(equality)]) ).
cnf(2719,plain,
( sum(pred(sum(n0,succ(n4))),sum(n4,pred(sum(n0,n4)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(spm,[status(thm)],[446,2714,theory(equality)]) ).
cnf(2720,plain,
( sum(pred(sum(esk1_0,n5)),sum(n4,pred(sum(esk1_0,n4)))) = esk3_0
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[2718,426,theory(equality)]) ).
cnf(2721,plain,
( n11 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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(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)],[2719,426,theory(equality)]),393,theory(equality)]),409,theory(equality)]),394,theory(equality)]),410,theory(equality)]),331,theory(equality)]),327,theory(equality)]) ).
cnf(2722,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2721,128,theory(equality)]) ).
cnf(2741,plain,
( sum(pred(sum(n15,n5)),sum(n4,pred(sum(n15,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| 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(spm,[status(thm)],[2720,2722,theory(equality)]) ).
cnf(2742,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2741,153,theory(equality)]),410,theory(equality)]),154,theory(equality)]),411,theory(equality)]),332,theory(equality)]),344,theory(equality)]) ).
cnf(2743,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| 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(sr,[status(thm)],[2742,130,theory(equality)]) ).
cnf(2758,plain,
( sum(pred(sum(n14,n5)),sum(n4,pred(sum(n14,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[2720,2743,theory(equality)]) ).
cnf(2759,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2758,169,theory(equality)]),411,theory(equality)]),170,theory(equality)]),412,theory(equality)]),333,theory(equality)]),361,theory(equality)]) ).
cnf(2760,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2759,132,theory(equality)]) ).
cnf(2774,plain,
( sum(pred(sum(n13,n5)),sum(n4,pred(sum(n13,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| 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(spm,[status(thm)],[2720,2760,theory(equality)]) ).
cnf(2775,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2774,185,theory(equality)]),412,theory(equality)]),186,theory(equality)]),413,theory(equality)]),334,theory(equality)]),378,theory(equality)]) ).
cnf(2776,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| 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(sr,[status(thm)],[2775,134,theory(equality)]) ).
cnf(2789,plain,
( sum(pred(sum(n12,n5)),sum(n4,pred(sum(n12,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[2720,2776,theory(equality)]) ).
cnf(2790,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2789,201,theory(equality)]),413,theory(equality)]),202,theory(equality)]),414,theory(equality)]),319,theory(equality)]),395,theory(equality)]) ).
cnf(2791,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2790,136,theory(equality)]) ).
cnf(2803,plain,
( sum(pred(sum(n11,n5)),sum(n4,pred(sum(n11,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2720,2791,theory(equality)]) ).
cnf(2804,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2803,217,theory(equality)]),414,theory(equality)]),218,theory(equality)]),399,theory(equality)]),320,theory(equality)]),156,theory(equality)]) ).
cnf(2805,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2804,138,theory(equality)]) ).
cnf(2820,plain,
( sum(pred(sum(n10,n5)),sum(n4,pred(sum(n10,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[2720,2805,theory(equality)]) ).
cnf(2821,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2820,233,theory(equality)]),399,theory(equality)]),234,theory(equality)]),400,theory(equality)]),321,theory(equality)]),173,theory(equality)]) ).
cnf(2822,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| 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(sr,[status(thm)],[2821,124,theory(equality)]) ).
cnf(2832,plain,
( sum(pred(sum(n9,n5)),sum(n4,pred(sum(n9,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2720,2822,theory(equality)]) ).
cnf(2833,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2832,249,theory(equality)]),400,theory(equality)]),250,theory(equality)]),401,theory(equality)]),322,theory(equality)]),190,theory(equality)]) ).
cnf(2834,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2833,126,theory(equality)]) ).
cnf(2843,plain,
( sum(pred(sum(n8,n5)),sum(n4,pred(sum(n8,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[2720,2834,theory(equality)]) ).
cnf(2844,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2843,265,theory(equality)]),401,theory(equality)]),266,theory(equality)]),402,theory(equality)]),323,theory(equality)]),191,theory(equality)]) ).
cnf(2845,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[2844,128,theory(equality)]) ).
cnf(2853,plain,
( sum(pred(sum(n7,n5)),sum(n4,pred(sum(n7,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2720,2845,theory(equality)]) ).
cnf(2854,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2853,281,theory(equality)]),402,theory(equality)]),282,theory(equality)]),403,theory(equality)]),324,theory(equality)]),208,theory(equality)]) ).
cnf(2855,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2854,130,theory(equality)]) ).
cnf(2862,plain,
( sum(pred(sum(n6,n5)),sum(n4,pred(sum(n6,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[2720,2855,theory(equality)]) ).
cnf(2863,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2862,297,theory(equality)]),403,theory(equality)]),298,theory(equality)]),404,theory(equality)]),325,theory(equality)]),225,theory(equality)]) ).
cnf(2864,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[2863,132,theory(equality)]) ).
cnf(2870,plain,
( sum(pred(sum(n5,n5)),sum(n4,pred(sum(n5,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2720,2864,theory(equality)]) ).
cnf(2871,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2870,313,theory(equality)]),404,theory(equality)]),314,theory(equality)]),405,theory(equality)]),326,theory(equality)]),242,theory(equality)]) ).
cnf(2872,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2871,134,theory(equality)]) ).
cnf(2877,plain,
( sum(pred(sum(n4,n5)),sum(n4,pred(sum(n4,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[2720,2872,theory(equality)]) ).
cnf(2878,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2877,329,theory(equality)]),405,theory(equality)]),330,theory(equality)]),406,theory(equality)]),327,theory(equality)]),259,theory(equality)]) ).
cnf(2879,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[2878,136,theory(equality)]) ).
cnf(2883,plain,
( sum(pred(sum(n3,n5)),sum(n4,pred(sum(n3,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2720,2879,theory(equality)]) ).
cnf(2884,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2883,345,theory(equality)]),406,theory(equality)]),346,theory(equality)]),407,theory(equality)]),328,theory(equality)]),276,theory(equality)]) ).
cnf(2885,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2884,138,theory(equality)]) ).
cnf(2888,plain,
( sum(pred(sum(n2,n5)),sum(n4,pred(sum(n2,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2720,2885,theory(equality)]) ).
cnf(2889,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2888,361,theory(equality)]),407,theory(equality)]),362,theory(equality)]),408,theory(equality)]),329,theory(equality)]),293,theory(equality)]) ).
cnf(2890,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2889,124,theory(equality)]) ).
cnf(2892,plain,
( sum(pred(sum(n1,n5)),sum(n4,pred(sum(n1,n4)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(spm,[status(thm)],[2720,2890,theory(equality)]) ).
cnf(2893,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2892,377,theory(equality)]),408,theory(equality)]),378,theory(equality)]),409,theory(equality)]),330,theory(equality)]),310,theory(equality)]) ).
cnf(2894,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(sr,[status(thm)],[2893,126,theory(equality)]) ).
cnf(2897,plain,
( sum(pred(sum(esk1_0,succ(n3))),sum(n3,pred(sum(esk1_0,n3)))) = esk3_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[140,2894,theory(equality)]) ).
cnf(2898,plain,
( sum(pred(sum(n0,succ(n3))),sum(n3,pred(sum(n0,n3)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[446,2894,theory(equality)]) ).
cnf(2899,plain,
( sum(pred(sum(esk1_0,n4)),sum(n3,pred(sum(esk1_0,n3)))) = esk3_0
| esk2_0 = n2
| esk2_0 = n1 ),
inference(rw,[status(thm)],[2897,427,theory(equality)]) ).
cnf(2900,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n2
| esk2_0 = n1 ),
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)],[2898,427,theory(equality)]),394,theory(equality)]),410,theory(equality)]),395,theory(equality)]),411,theory(equality)]),348,theory(equality)]),345,theory(equality)]) ).
cnf(2901,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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 = n2
| esk2_0 = n1 ),
inference(sr,[status(thm)],[2900,131,theory(equality)]) ).
cnf(2918,plain,
( sum(pred(sum(n15,n4)),sum(n3,pred(sum(n15,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| 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(spm,[status(thm)],[2899,2901,theory(equality)]) ).
cnf(2921,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2918,154,theory(equality)]),411,theory(equality)]),155,theory(equality)]),412,theory(equality)]),349,theory(equality)]),362,theory(equality)]) ).
cnf(2922,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[2921,133,theory(equality)]) ).
cnf(2937,plain,
( sum(pred(sum(n14,n4)),sum(n3,pred(sum(n14,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[2899,2922,theory(equality)]) ).
cnf(2938,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2937,170,theory(equality)]),412,theory(equality)]),171,theory(equality)]),413,theory(equality)]),350,theory(equality)]),379,theory(equality)]) ).
cnf(2939,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2938,135,theory(equality)]) ).
cnf(2953,plain,
( sum(pred(sum(n13,n4)),sum(n3,pred(sum(n13,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| 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(spm,[status(thm)],[2899,2939,theory(equality)]) ).
cnf(2954,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2953,186,theory(equality)]),413,theory(equality)]),187,theory(equality)]),414,theory(equality)]),335,theory(equality)]),396,theory(equality)]) ).
cnf(2955,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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(sr,[status(thm)],[2954,137,theory(equality)]) ).
cnf(2968,plain,
( sum(pred(sum(n12,n4)),sum(n3,pred(sum(n12,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[2899,2955,theory(equality)]) ).
cnf(2969,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2968,202,theory(equality)]),414,theory(equality)]),203,theory(equality)]),399,theory(equality)]),336,theory(equality)]),157,theory(equality)]) ).
cnf(2970,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[2969,139,theory(equality)]) ).
cnf(2982,plain,
( sum(pred(sum(n11,n4)),sum(n3,pred(sum(n11,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2899,2970,theory(equality)]) ).
cnf(2983,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2982,218,theory(equality)]),399,theory(equality)]),219,theory(equality)]),400,theory(equality)]),337,theory(equality)]),174,theory(equality)]) ).
cnf(2984,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[2983,125,theory(equality)]) ).
cnf(2995,plain,
( sum(pred(sum(n10,n4)),sum(n3,pred(sum(n10,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[2899,2984,theory(equality)]) ).
cnf(2996,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2995,234,theory(equality)]),400,theory(equality)]),235,theory(equality)]),401,theory(equality)]),338,theory(equality)]),175,theory(equality)]) ).
cnf(2997,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| 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(sr,[status(thm)],[2996,127,theory(equality)]) ).
cnf(3007,plain,
( sum(pred(sum(n9,n4)),sum(n3,pred(sum(n9,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2899,2997,theory(equality)]) ).
cnf(3008,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3007,250,theory(equality)]),401,theory(equality)]),251,theory(equality)]),402,theory(equality)]),339,theory(equality)]),192,theory(equality)]) ).
cnf(3009,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3008,129,theory(equality)]) ).
cnf(3018,plain,
( sum(pred(sum(n8,n4)),sum(n3,pred(sum(n8,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[2899,3009,theory(equality)]) ).
cnf(3019,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3018,266,theory(equality)]),402,theory(equality)]),267,theory(equality)]),403,theory(equality)]),340,theory(equality)]),209,theory(equality)]) ).
cnf(3020,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[3019,131,theory(equality)]) ).
cnf(3028,plain,
( sum(pred(sum(n7,n4)),sum(n3,pred(sum(n7,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2899,3020,theory(equality)]) ).
cnf(3029,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3028,282,theory(equality)]),403,theory(equality)]),283,theory(equality)]),404,theory(equality)]),341,theory(equality)]),226,theory(equality)]) ).
cnf(3030,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3029,133,theory(equality)]) ).
cnf(3045,plain,
( sum(pred(sum(n6,n4)),sum(n3,pred(sum(n6,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[2899,3030,theory(equality)]) ).
cnf(3046,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3045,298,theory(equality)]),404,theory(equality)]),299,theory(equality)]),405,theory(equality)]),342,theory(equality)]),243,theory(equality)]) ).
cnf(3047,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[3046,135,theory(equality)]) ).
cnf(3053,plain,
( sum(pred(sum(n5,n4)),sum(n3,pred(sum(n5,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2899,3047,theory(equality)]) ).
cnf(3054,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3053,314,theory(equality)]),405,theory(equality)]),315,theory(equality)]),406,theory(equality)]),343,theory(equality)]),260,theory(equality)]) ).
cnf(3055,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3054,137,theory(equality)]) ).
cnf(3060,plain,
( sum(pred(sum(n4,n4)),sum(n3,pred(sum(n4,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[2899,3055,theory(equality)]) ).
cnf(3061,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3060,330,theory(equality)]),406,theory(equality)]),331,theory(equality)]),407,theory(equality)]),344,theory(equality)]),277,theory(equality)]) ).
cnf(3062,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[3061,139,theory(equality)]) ).
cnf(3066,plain,
( sum(pred(sum(n3,n4)),sum(n3,pred(sum(n3,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2899,3062,theory(equality)]) ).
cnf(3067,plain,
( n14 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3066,346,theory(equality)]),407,theory(equality)]),347,theory(equality)]),408,theory(equality)]),345,theory(equality)]),294,theory(equality)]) ).
cnf(3068,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3067,125,theory(equality)]) ).
cnf(3071,plain,
( sum(pred(sum(n2,n4)),sum(n3,pred(sum(n2,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[2899,3068,theory(equality)]) ).
cnf(3072,plain,
( n12 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3071,362,theory(equality)]),408,theory(equality)]),363,theory(equality)]),409,theory(equality)]),346,theory(equality)]),311,theory(equality)]) ).
cnf(3073,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3072,127,theory(equality)]) ).
cnf(3075,plain,
( sum(pred(sum(n1,n4)),sum(n3,pred(sum(n1,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[2899,3073,theory(equality)]) ).
cnf(3076,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3075,378,theory(equality)]),409,theory(equality)]),379,theory(equality)]),410,theory(equality)]),347,theory(equality)]),328,theory(equality)]) ).
cnf(3077,plain,
( esk2_0 = n1
| esk2_0 = n2 ),
inference(sr,[status(thm)],[3076,129,theory(equality)]) ).
cnf(3079,plain,
( sum(pred(sum(esk1_0,succ(n2))),sum(n2,pred(sum(esk1_0,n2)))) = esk3_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[140,3077,theory(equality)]) ).
cnf(3080,plain,
( sum(pred(sum(n0,succ(n2))),sum(n2,pred(sum(n0,n2)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1 ),
inference(spm,[status(thm)],[446,3077,theory(equality)]) ).
cnf(3081,plain,
( sum(pred(sum(esk1_0,n3)),sum(n2,pred(sum(esk1_0,n2)))) = esk3_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[3079,428,theory(equality)]) ).
cnf(3082,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15
| esk2_0 = n1 ),
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)],[3080,428,theory(equality)]),395,theory(equality)]),411,theory(equality)]),396,theory(equality)]),412,theory(equality)]),365,theory(equality)]),363,theory(equality)]) ).
cnf(3083,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[3082,134,theory(equality)]) ).
cnf(3102,plain,
( sum(pred(sum(n15,n3)),sum(n2,pred(sum(n15,n2)))) = esk3_0
| esk2_0 = n1
| 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(spm,[status(thm)],[3081,3083,theory(equality)]) ).
cnf(3103,plain,
( n3 = esk3_0
| esk2_0 = n1
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3102,155,theory(equality)]),412,theory(equality)]),156,theory(equality)]),413,theory(equality)]),366,theory(equality)]),380,theory(equality)]) ).
cnf(3104,plain,
( esk2_0 = n1
| 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(sr,[status(thm)],[3103,136,theory(equality)]) ).
cnf(3119,plain,
( sum(pred(sum(n14,n3)),sum(n2,pred(sum(n14,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[3081,3104,theory(equality)]) ).
cnf(3120,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3119,171,theory(equality)]),413,theory(equality)]),172,theory(equality)]),414,theory(equality)]),351,theory(equality)]),397,theory(equality)]) ).
cnf(3121,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[3120,138,theory(equality)]) ).
cnf(3135,plain,
( sum(pred(sum(n13,n3)),sum(n2,pred(sum(n13,n2)))) = esk3_0
| esk2_0 = n1
| 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(spm,[status(thm)],[3081,3121,theory(equality)]) ).
cnf(3136,plain,
( n15 = esk3_0
| esk2_0 = n1
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3135,187,theory(equality)]),414,theory(equality)]),188,theory(equality)]),399,theory(equality)]),352,theory(equality)]),158,theory(equality)]) ).
cnf(3137,plain,
( esk2_0 = n1
| 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(sr,[status(thm)],[3136,124,theory(equality)]) ).
cnf(3150,plain,
( sum(pred(sum(n12,n3)),sum(n2,pred(sum(n12,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(spm,[status(thm)],[3081,3137,theory(equality)]) ).
cnf(3151,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3150,203,theory(equality)]),399,theory(equality)]),204,theory(equality)]),400,theory(equality)]),353,theory(equality)]),159,theory(equality)]) ).
cnf(3152,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[3151,126,theory(equality)]) ).
cnf(3164,plain,
( sum(pred(sum(n11,n3)),sum(n2,pred(sum(n11,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3081,3152,theory(equality)]) ).
cnf(3165,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3164,219,theory(equality)]),400,theory(equality)]),220,theory(equality)]),401,theory(equality)]),354,theory(equality)]),176,theory(equality)]) ).
cnf(3166,plain,
( esk2_0 = n1
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3165,128,theory(equality)]) ).
cnf(3177,plain,
( sum(pred(sum(n10,n3)),sum(n2,pred(sum(n10,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[3081,3166,theory(equality)]) ).
cnf(3178,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3177,235,theory(equality)]),401,theory(equality)]),236,theory(equality)]),402,theory(equality)]),355,theory(equality)]),193,theory(equality)]) ).
cnf(3179,plain,
( esk2_0 = n1
| esk1_0 = n1
| 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(sr,[status(thm)],[3178,130,theory(equality)]) ).
cnf(3189,plain,
( sum(pred(sum(n9,n3)),sum(n2,pred(sum(n9,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3081,3179,theory(equality)]) ).
cnf(3190,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3189,251,theory(equality)]),402,theory(equality)]),252,theory(equality)]),403,theory(equality)]),356,theory(equality)]),210,theory(equality)]) ).
cnf(3191,plain,
( esk2_0 = n1
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3190,132,theory(equality)]) ).
cnf(3200,plain,
( sum(pred(sum(n8,n3)),sum(n2,pred(sum(n8,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[3081,3191,theory(equality)]) ).
cnf(3201,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3200,267,theory(equality)]),403,theory(equality)]),268,theory(equality)]),404,theory(equality)]),357,theory(equality)]),227,theory(equality)]) ).
cnf(3202,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[3201,134,theory(equality)]) ).
cnf(3217,plain,
( sum(pred(sum(n7,n3)),sum(n2,pred(sum(n7,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3081,3202,theory(equality)]) ).
cnf(3218,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3217,283,theory(equality)]),404,theory(equality)]),284,theory(equality)]),405,theory(equality)]),358,theory(equality)]),244,theory(equality)]) ).
cnf(3219,plain,
( esk2_0 = n1
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3218,136,theory(equality)]) ).
cnf(3226,plain,
( sum(pred(sum(n6,n3)),sum(n2,pred(sum(n6,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[3081,3219,theory(equality)]) ).
cnf(3227,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3226,299,theory(equality)]),405,theory(equality)]),300,theory(equality)]),406,theory(equality)]),359,theory(equality)]),261,theory(equality)]) ).
cnf(3228,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[3227,138,theory(equality)]) ).
cnf(3234,plain,
( sum(pred(sum(n5,n3)),sum(n2,pred(sum(n5,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3081,3228,theory(equality)]) ).
cnf(3235,plain,
( n15 = esk3_0
| esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3234,315,theory(equality)]),406,theory(equality)]),316,theory(equality)]),407,theory(equality)]),360,theory(equality)]),278,theory(equality)]) ).
cnf(3236,plain,
( esk2_0 = n1
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3235,124,theory(equality)]) ).
cnf(3241,plain,
( sum(pred(sum(n4,n3)),sum(n2,pred(sum(n4,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[3081,3236,theory(equality)]) ).
cnf(3242,plain,
( n13 = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3241,331,theory(equality)]),407,theory(equality)]),332,theory(equality)]),408,theory(equality)]),361,theory(equality)]),295,theory(equality)]) ).
cnf(3243,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[3242,126,theory(equality)]) ).
cnf(3247,plain,
( sum(pred(sum(n3,n3)),sum(n2,pred(sum(n3,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3081,3243,theory(equality)]) ).
cnf(3248,plain,
( n11 = esk3_0
| esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3247,347,theory(equality)]),408,theory(equality)]),348,theory(equality)]),409,theory(equality)]),362,theory(equality)]),312,theory(equality)]) ).
cnf(3249,plain,
( esk2_0 = n1
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3248,128,theory(equality)]) ).
cnf(3252,plain,
( sum(pred(sum(n2,n3)),sum(n2,pred(sum(n2,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3081,3249,theory(equality)]) ).
cnf(3253,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3252,363,theory(equality)]),409,theory(equality)]),364,theory(equality)]),410,theory(equality)]),363,theory(equality)]),329,theory(equality)]) ).
cnf(3254,plain,
( esk2_0 = n1
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3253,130,theory(equality)]) ).
cnf(3256,plain,
( sum(pred(sum(n1,n3)),sum(n2,pred(sum(n1,n2)))) = esk3_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[3081,3254,theory(equality)]) ).
cnf(3257,plain,
( n7 = esk3_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3256,379,theory(equality)]),410,theory(equality)]),380,theory(equality)]),411,theory(equality)]),364,theory(equality)]),346,theory(equality)]) ).
cnf(3258,plain,
esk2_0 = n1,
inference(sr,[status(thm)],[3257,132,theory(equality)]) ).
cnf(3259,plain,
sum(pred(sum(esk1_0,n2)),sum(n1,pred(sum(esk1_0,n1)))) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[140,3258,theory(equality)]),429,theory(equality)]),3258,theory(equality)]),3258,theory(equality)]) ).
cnf(3264,plain,
( sum(n1,n1) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15 ),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[446,3258,theory(equality)]),429,theory(equality)]),396,theory(equality)]),412,theory(equality)]),3258,theory(equality)]),3258,theory(equality)]),397,theory(equality)]),413,theory(equality)]),382,theory(equality)]) ).
cnf(3265,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13
| esk1_0 = n14
| esk1_0 = n15 ),
inference(rw,[status(thm)],[3264,381,theory(equality)]) ).
cnf(3266,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[3265,137,theory(equality)]) ).
cnf(3284,plain,
( sum(pred(sum(n15,n2)),sum(n1,pred(sum(n15,n1)))) = esk3_0
| 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(spm,[status(thm)],[3259,3266,theory(equality)]) ).
cnf(3285,plain,
( n0 = esk3_0
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3284,156,theory(equality)]),413,theory(equality)]),157,theory(equality)]),414,theory(equality)]),367,theory(equality)]),398,theory(equality)]) ).
cnf(3286,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 ),
inference(sr,[status(thm)],[3285,139,theory(equality)]) ).
cnf(3300,plain,
( sum(pred(sum(n14,n2)),sum(n1,pred(sum(n14,n1)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13 ),
inference(spm,[status(thm)],[3259,3286,theory(equality)]) ).
cnf(3301,plain,
( n14 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11
| esk1_0 = n12
| esk1_0 = n13 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3300,172,theory(equality)]),414,theory(equality)]),173,theory(equality)]),399,theory(equality)]),368,theory(equality)]),143,theory(equality)]) ).
cnf(3302,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[3301,125,theory(equality)]) ).
cnf(3315,plain,
( sum(pred(sum(n13,n2)),sum(n1,pred(sum(n13,n1)))) = esk3_0
| 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(spm,[status(thm)],[3259,3302,theory(equality)]) ).
cnf(3316,plain,
( n12 = esk3_0
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3315,188,theory(equality)]),399,theory(equality)]),189,theory(equality)]),400,theory(equality)]),369,theory(equality)]),160,theory(equality)]) ).
cnf(3317,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 ),
inference(sr,[status(thm)],[3316,127,theory(equality)]) ).
cnf(3329,plain,
( sum(pred(sum(n12,n2)),sum(n1,pred(sum(n12,n1)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11 ),
inference(spm,[status(thm)],[3259,3317,theory(equality)]) ).
cnf(3330,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk1_0 = n11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3329,204,theory(equality)]),400,theory(equality)]),205,theory(equality)]),401,theory(equality)]),370,theory(equality)]),177,theory(equality)]) ).
cnf(3331,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| 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(sr,[status(thm)],[3330,129,theory(equality)]) ).
cnf(3342,plain,
( sum(pred(sum(n11,n2)),sum(n1,pred(sum(n11,n1)))) = esk3_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3259,3331,theory(equality)]) ).
cnf(3343,plain,
( n8 = esk3_0
| esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3342,220,theory(equality)]),401,theory(equality)]),221,theory(equality)]),402,theory(equality)]),371,theory(equality)]),194,theory(equality)]) ).
cnf(3344,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 ),
inference(sr,[status(thm)],[3343,131,theory(equality)]) ).
cnf(3354,plain,
( sum(pred(sum(n10,n2)),sum(n1,pred(sum(n10,n1)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(spm,[status(thm)],[3259,3344,theory(equality)]) ).
cnf(3355,plain,
( n6 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3354,236,theory(equality)]),402,theory(equality)]),237,theory(equality)]),403,theory(equality)]),372,theory(equality)]),211,theory(equality)]) ).
cnf(3356,plain,
( esk1_0 = n1
| 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(sr,[status(thm)],[3355,133,theory(equality)]) ).
cnf(3365,plain,
( sum(pred(sum(n9,n2)),sum(n1,pred(sum(n9,n1)))) = esk3_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3259,3356,theory(equality)]) ).
cnf(3366,plain,
( n4 = esk3_0
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3365,252,theory(equality)]),403,theory(equality)]),253,theory(equality)]),404,theory(equality)]),373,theory(equality)]),228,theory(equality)]) ).
cnf(3367,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 ),
inference(sr,[status(thm)],[3366,135,theory(equality)]) ).
cnf(3375,plain,
( sum(pred(sum(n8,n2)),sum(n1,pred(sum(n8,n1)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(spm,[status(thm)],[3259,3367,theory(equality)]) ).
cnf(3376,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3375,268,theory(equality)]),404,theory(equality)]),269,theory(equality)]),405,theory(equality)]),374,theory(equality)]),245,theory(equality)]) ).
cnf(3377,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(sr,[status(thm)],[3376,137,theory(equality)]) ).
cnf(3384,plain,
( sum(pred(sum(n7,n2)),sum(n1,pred(sum(n7,n1)))) = esk3_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3259,3377,theory(equality)]) ).
cnf(3385,plain,
( n0 = esk3_0
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3384,284,theory(equality)]),405,theory(equality)]),285,theory(equality)]),406,theory(equality)]),375,theory(equality)]),262,theory(equality)]) ).
cnf(3386,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3385,139,theory(equality)]) ).
cnf(3392,plain,
( sum(pred(sum(n6,n2)),sum(n1,pred(sum(n6,n1)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[3259,3386,theory(equality)]) ).
cnf(3393,plain,
( n14 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3392,300,theory(equality)]),406,theory(equality)]),301,theory(equality)]),407,theory(equality)]),376,theory(equality)]),279,theory(equality)]) ).
cnf(3394,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(sr,[status(thm)],[3393,125,theory(equality)]) ).
cnf(3399,plain,
( sum(pred(sum(n5,n2)),sum(n1,pred(sum(n5,n1)))) = esk3_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3259,3394,theory(equality)]) ).
cnf(3400,plain,
( n12 = esk3_0
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3399,316,theory(equality)]),407,theory(equality)]),317,theory(equality)]),408,theory(equality)]),377,theory(equality)]),296,theory(equality)]) ).
cnf(3401,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3400,127,theory(equality)]) ).
cnf(3405,plain,
( sum(pred(sum(n4,n2)),sum(n1,pred(sum(n4,n1)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[3259,3401,theory(equality)]) ).
cnf(3406,plain,
( n10 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3405,332,theory(equality)]),408,theory(equality)]),333,theory(equality)]),409,theory(equality)]),378,theory(equality)]),313,theory(equality)]) ).
cnf(3407,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(sr,[status(thm)],[3406,129,theory(equality)]) ).
cnf(3410,plain,
( sum(pred(sum(n3,n2)),sum(n1,pred(sum(n3,n1)))) = esk3_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3259,3407,theory(equality)]) ).
cnf(3411,plain,
( n8 = esk3_0
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3410,348,theory(equality)]),409,theory(equality)]),349,theory(equality)]),410,theory(equality)]),379,theory(equality)]),330,theory(equality)]) ).
cnf(3412,plain,
( esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[3411,131,theory(equality)]) ).
cnf(3414,plain,
( sum(pred(sum(n2,n2)),sum(n1,pred(sum(n2,n1)))) = esk3_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[3259,3412,theory(equality)]) ).
cnf(3415,plain,
( n6 = esk3_0
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3414,364,theory(equality)]),410,theory(equality)]),365,theory(equality)]),411,theory(equality)]),380,theory(equality)]),347,theory(equality)]) ).
cnf(3416,plain,
esk1_0 = n1,
inference(sr,[status(thm)],[3415,133,theory(equality)]) ).
cnf(3417,plain,
sum(n2,n2) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3259,3416,theory(equality)]),380,theory(equality)]),411,theory(equality)]),3416,theory(equality)]),381,theory(equality)]),412,theory(equality)]),381,theory(equality)]) ).
cnf(3418,plain,
n4 = esk3_0,
inference(rw,[status(thm)],[3417,364,theory(equality)]) ).
cnf(3419,plain,
$false,
inference(sr,[status(thm)],[3418,135,theory(equality)]) ).
cnf(3420,plain,
$false,
3419,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM375+1.015 : TPTP v7.0.0. Released v3.2.0.
% 0.02/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n095.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 02:08:29 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 0.36/0.61 -running prover on /export/starexec/sandbox2/tmp/tmpuquNKN/sel_theBenchmark.p_1 with time limit 29
% 0.36/0.61 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpuquNKN/sel_theBenchmark.p_1']
% 0.36/0.61 -prover status Unsatisfiable
% 0.36/0.61 Problem theBenchmark.p solved in phase 0.
% 0.36/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.61 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.61 Solved 1 out of 1.
% 0.36/0.61 # Problem is unsatisfiable (or provable), constructing proof object
% 0.36/0.61 # SZS status Unsatisfiable
% 0.36/0.61 # SZS output start CNFRefutation.
% See solution above
% 0.44/0.62 # SZS output end CNFRefutation
%------------------------------------------------------------------------------