TSTP Solution File: NUM375+1.010 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM375+1.010 : TPTP v7.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n105.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 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : None (Could not find formula named theoheory(equality))
% Syntax : Number of formulae : 546
% 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),n0)
& equal(pred(n0),n10)
& equal(pred(n1),n0)
& equal(pred(n2),n1)
& equal(pred(n3),n2)
& equal(pred(n4),n3)
& equal(pred(n5),n4)
& equal(pred(n6),n5)
& equal(pred(n7),n6)
& equal(pred(n8),n7)
& equal(pred(n9),n8)
& equal(pred(n10),n9)
& equal(sum(n0,n0),n0)
& equal(sum(n0,n1),n1)
& equal(sum(n0,n2),n2)
& equal(sum(n0,n3),n3)
& equal(sum(n0,n4),n4)
& equal(sum(n0,n5),n5)
& equal(sum(n0,n6),n6)
& equal(sum(n0,n7),n7)
& equal(sum(n0,n8),n8)
& equal(sum(n0,n9),n9)
& equal(sum(n0,n10),n10)
& equal(sum(n1,n0),n1)
& equal(sum(n1,n1),n2)
& equal(sum(n1,n2),n3)
& equal(sum(n1,n3),n4)
& equal(sum(n1,n4),n5)
& equal(sum(n1,n5),n6)
& equal(sum(n1,n6),n7)
& equal(sum(n1,n7),n8)
& equal(sum(n1,n8),n9)
& equal(sum(n1,n9),n10)
& equal(sum(n1,n10),n0)
& equal(sum(n2,n0),n2)
& equal(sum(n2,n1),n3)
& equal(sum(n2,n2),n4)
& equal(sum(n2,n3),n5)
& equal(sum(n2,n4),n6)
& equal(sum(n2,n5),n7)
& equal(sum(n2,n6),n8)
& equal(sum(n2,n7),n9)
& equal(sum(n2,n8),n10)
& equal(sum(n2,n9),n0)
& equal(sum(n2,n10),n1)
& equal(sum(n3,n0),n3)
& equal(sum(n3,n1),n4)
& equal(sum(n3,n2),n5)
& equal(sum(n3,n3),n6)
& equal(sum(n3,n4),n7)
& equal(sum(n3,n5),n8)
& equal(sum(n3,n6),n9)
& equal(sum(n3,n7),n10)
& equal(sum(n3,n8),n0)
& equal(sum(n3,n9),n1)
& equal(sum(n3,n10),n2)
& equal(sum(n4,n0),n4)
& equal(sum(n4,n1),n5)
& equal(sum(n4,n2),n6)
& equal(sum(n4,n3),n7)
& equal(sum(n4,n4),n8)
& equal(sum(n4,n5),n9)
& equal(sum(n4,n6),n10)
& equal(sum(n4,n7),n0)
& equal(sum(n4,n8),n1)
& equal(sum(n4,n9),n2)
& equal(sum(n4,n10),n3)
& equal(sum(n5,n0),n5)
& equal(sum(n5,n1),n6)
& equal(sum(n5,n2),n7)
& equal(sum(n5,n3),n8)
& equal(sum(n5,n4),n9)
& equal(sum(n5,n5),n10)
& equal(sum(n5,n6),n0)
& equal(sum(n5,n7),n1)
& equal(sum(n5,n8),n2)
& equal(sum(n5,n9),n3)
& equal(sum(n5,n10),n4)
& equal(sum(n6,n0),n6)
& equal(sum(n6,n1),n7)
& equal(sum(n6,n2),n8)
& equal(sum(n6,n3),n9)
& equal(sum(n6,n4),n10)
& equal(sum(n6,n5),n0)
& equal(sum(n6,n6),n1)
& equal(sum(n6,n7),n2)
& equal(sum(n6,n8),n3)
& equal(sum(n6,n9),n4)
& equal(sum(n6,n10),n5)
& equal(sum(n7,n0),n7)
& equal(sum(n7,n1),n8)
& equal(sum(n7,n2),n9)
& equal(sum(n7,n3),n10)
& equal(sum(n7,n4),n0)
& equal(sum(n7,n5),n1)
& equal(sum(n7,n6),n2)
& equal(sum(n7,n7),n3)
& equal(sum(n7,n8),n4)
& equal(sum(n7,n9),n5)
& equal(sum(n7,n10),n6)
& equal(sum(n8,n0),n8)
& equal(sum(n8,n1),n9)
& equal(sum(n8,n2),n10)
& equal(sum(n8,n3),n0)
& equal(sum(n8,n4),n1)
& equal(sum(n8,n5),n2)
& equal(sum(n8,n6),n3)
& equal(sum(n8,n7),n4)
& equal(sum(n8,n8),n5)
& equal(sum(n8,n9),n6)
& equal(sum(n8,n10),n7)
& equal(sum(n9,n0),n9)
& equal(sum(n9,n1),n10)
& equal(sum(n9,n2),n0)
& equal(sum(n9,n3),n1)
& equal(sum(n9,n4),n2)
& equal(sum(n9,n5),n3)
& equal(sum(n9,n6),n4)
& equal(sum(n9,n7),n5)
& equal(sum(n9,n8),n6)
& equal(sum(n9,n9),n7)
& equal(sum(n9,n10),n8)
& equal(sum(n10,n0),n10)
& equal(sum(n10,n1),n0)
& equal(sum(n10,n2),n1)
& equal(sum(n10,n3),n2)
& equal(sum(n10,n4),n3)
& equal(sum(n10,n5),n4)
& equal(sum(n10,n6),n5)
& equal(sum(n10,n7),n6)
& equal(sum(n10,n8),n7)
& equal(sum(n10,n9),n8)
& equal(sum(n10,n10),n9)
& ( equal(X1,n0)
| equal(X1,n1)
| equal(X1,n2)
| equal(X1,n3)
| equal(X1,n4)
| equal(X1,n5)
| equal(X1,n6)
| equal(X1,n7)
| equal(X1,n8)
| equal(X1,n9)
| equal(X1,n10) )
& ( equal(X2,n0)
| equal(X2,n1)
| equal(X2,n2)
| equal(X2,n3)
| equal(X2,n4)
| equal(X2,n5)
| equal(X2,n6)
| equal(X2,n7)
| equal(X2,n8)
| equal(X2,n9)
| equal(X2,n10) )
& equal(X3,sum(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(n0,n1)
& ~ equal(n0,n2)
& ~ equal(n0,n3)
& ~ equal(n0,n4)
& ~ equal(n0,n5)
& ~ equal(n0,n6)
& ~ equal(n0,n7)
& ~ equal(n0,n8)
& ~ equal(n0,n9)
& ~ equal(n0,n10)
& ~ equal(n1,n2)
& ~ equal(n1,n3)
& ~ equal(n1,n4)
& ~ equal(n1,n5)
& ~ equal(n1,n6)
& ~ equal(n1,n7)
& ~ equal(n1,n8)
& ~ equal(n1,n9)
& ~ equal(n1,n10)
& ~ equal(n2,n3)
& ~ equal(n2,n4)
& ~ equal(n2,n5)
& ~ equal(n2,n6)
& ~ equal(n2,n7)
& ~ equal(n2,n8)
& ~ equal(n2,n9)
& ~ equal(n2,n10)
& ~ equal(n3,n4)
& ~ equal(n3,n5)
& ~ equal(n3,n6)
& ~ equal(n3,n7)
& ~ equal(n3,n8)
& ~ equal(n3,n9)
& ~ equal(n3,n10)
& ~ equal(n4,n5)
& ~ equal(n4,n6)
& ~ equal(n4,n7)
& ~ equal(n4,n8)
& ~ equal(n4,n9)
& ~ equal(n4,n10)
& ~ equal(n5,n6)
& ~ equal(n5,n7)
& ~ equal(n5,n8)
& ~ equal(n5,n9)
& ~ equal(n5,n10)
& ~ equal(n6,n7)
& ~ equal(n6,n8)
& ~ equal(n6,n9)
& ~ equal(n6,n10)
& ~ equal(n7,n8)
& ~ equal(n7,n9)
& ~ equal(n7,n10)
& ~ equal(n8,n9)
& ~ equal(n8,n10)
& ~ equal(n9,n10) ),
file('/export/starexec/sandbox/tmp/tmpMgqh4J/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),n0)
& equal(pred(n0),n10)
& equal(pred(n1),n0)
& equal(pred(n2),n1)
& equal(pred(n3),n2)
& equal(pred(n4),n3)
& equal(pred(n5),n4)
& equal(pred(n6),n5)
& equal(pred(n7),n6)
& equal(pred(n8),n7)
& equal(pred(n9),n8)
& equal(pred(n10),n9)
& equal(sum(n0,n0),n0)
& equal(sum(n0,n1),n1)
& equal(sum(n0,n2),n2)
& equal(sum(n0,n3),n3)
& equal(sum(n0,n4),n4)
& equal(sum(n0,n5),n5)
& equal(sum(n0,n6),n6)
& equal(sum(n0,n7),n7)
& equal(sum(n0,n8),n8)
& equal(sum(n0,n9),n9)
& equal(sum(n0,n10),n10)
& equal(sum(n1,n0),n1)
& equal(sum(n1,n1),n2)
& equal(sum(n1,n2),n3)
& equal(sum(n1,n3),n4)
& equal(sum(n1,n4),n5)
& equal(sum(n1,n5),n6)
& equal(sum(n1,n6),n7)
& equal(sum(n1,n7),n8)
& equal(sum(n1,n8),n9)
& equal(sum(n1,n9),n10)
& equal(sum(n1,n10),n0)
& equal(sum(n2,n0),n2)
& equal(sum(n2,n1),n3)
& equal(sum(n2,n2),n4)
& equal(sum(n2,n3),n5)
& equal(sum(n2,n4),n6)
& equal(sum(n2,n5),n7)
& equal(sum(n2,n6),n8)
& equal(sum(n2,n7),n9)
& equal(sum(n2,n8),n10)
& equal(sum(n2,n9),n0)
& equal(sum(n2,n10),n1)
& equal(sum(n3,n0),n3)
& equal(sum(n3,n1),n4)
& equal(sum(n3,n2),n5)
& equal(sum(n3,n3),n6)
& equal(sum(n3,n4),n7)
& equal(sum(n3,n5),n8)
& equal(sum(n3,n6),n9)
& equal(sum(n3,n7),n10)
& equal(sum(n3,n8),n0)
& equal(sum(n3,n9),n1)
& equal(sum(n3,n10),n2)
& equal(sum(n4,n0),n4)
& equal(sum(n4,n1),n5)
& equal(sum(n4,n2),n6)
& equal(sum(n4,n3),n7)
& equal(sum(n4,n4),n8)
& equal(sum(n4,n5),n9)
& equal(sum(n4,n6),n10)
& equal(sum(n4,n7),n0)
& equal(sum(n4,n8),n1)
& equal(sum(n4,n9),n2)
& equal(sum(n4,n10),n3)
& equal(sum(n5,n0),n5)
& equal(sum(n5,n1),n6)
& equal(sum(n5,n2),n7)
& equal(sum(n5,n3),n8)
& equal(sum(n5,n4),n9)
& equal(sum(n5,n5),n10)
& equal(sum(n5,n6),n0)
& equal(sum(n5,n7),n1)
& equal(sum(n5,n8),n2)
& equal(sum(n5,n9),n3)
& equal(sum(n5,n10),n4)
& equal(sum(n6,n0),n6)
& equal(sum(n6,n1),n7)
& equal(sum(n6,n2),n8)
& equal(sum(n6,n3),n9)
& equal(sum(n6,n4),n10)
& equal(sum(n6,n5),n0)
& equal(sum(n6,n6),n1)
& equal(sum(n6,n7),n2)
& equal(sum(n6,n8),n3)
& equal(sum(n6,n9),n4)
& equal(sum(n6,n10),n5)
& equal(sum(n7,n0),n7)
& equal(sum(n7,n1),n8)
& equal(sum(n7,n2),n9)
& equal(sum(n7,n3),n10)
& equal(sum(n7,n4),n0)
& equal(sum(n7,n5),n1)
& equal(sum(n7,n6),n2)
& equal(sum(n7,n7),n3)
& equal(sum(n7,n8),n4)
& equal(sum(n7,n9),n5)
& equal(sum(n7,n10),n6)
& equal(sum(n8,n0),n8)
& equal(sum(n8,n1),n9)
& equal(sum(n8,n2),n10)
& equal(sum(n8,n3),n0)
& equal(sum(n8,n4),n1)
& equal(sum(n8,n5),n2)
& equal(sum(n8,n6),n3)
& equal(sum(n8,n7),n4)
& equal(sum(n8,n8),n5)
& equal(sum(n8,n9),n6)
& equal(sum(n8,n10),n7)
& equal(sum(n9,n0),n9)
& equal(sum(n9,n1),n10)
& equal(sum(n9,n2),n0)
& equal(sum(n9,n3),n1)
& equal(sum(n9,n4),n2)
& equal(sum(n9,n5),n3)
& equal(sum(n9,n6),n4)
& equal(sum(n9,n7),n5)
& equal(sum(n9,n8),n6)
& equal(sum(n9,n9),n7)
& equal(sum(n9,n10),n8)
& equal(sum(n10,n0),n10)
& equal(sum(n10,n1),n0)
& equal(sum(n10,n2),n1)
& equal(sum(n10,n3),n2)
& equal(sum(n10,n4),n3)
& equal(sum(n10,n5),n4)
& equal(sum(n10,n6),n5)
& equal(sum(n10,n7),n6)
& equal(sum(n10,n8),n7)
& equal(sum(n10,n9),n8)
& equal(sum(n10,n10),n9)
& ( equal(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(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(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(n0,n1)
& ~ equal(n0,n2)
& ~ equal(n0,n3)
& ~ equal(n0,n4)
& ~ equal(n0,n5)
& ~ equal(n0,n6)
& ~ equal(n0,n7)
& ~ equal(n0,n8)
& ~ equal(n0,n9)
& ~ equal(n0,n10)
& ~ equal(n1,n2)
& ~ equal(n1,n3)
& ~ equal(n1,n4)
& ~ equal(n1,n5)
& ~ equal(n1,n6)
& ~ equal(n1,n7)
& ~ equal(n1,n8)
& ~ equal(n1,n9)
& ~ equal(n1,n10)
& ~ equal(n2,n3)
& ~ equal(n2,n4)
& ~ equal(n2,n5)
& ~ equal(n2,n6)
& ~ equal(n2,n7)
& ~ equal(n2,n8)
& ~ equal(n2,n9)
& ~ equal(n2,n10)
& ~ equal(n3,n4)
& ~ equal(n3,n5)
& ~ equal(n3,n6)
& ~ equal(n3,n7)
& ~ equal(n3,n8)
& ~ equal(n3,n9)
& ~ equal(n3,n10)
& ~ equal(n4,n5)
& ~ equal(n4,n6)
& ~ equal(n4,n7)
& ~ equal(n4,n8)
& ~ equal(n4,n9)
& ~ equal(n4,n10)
& ~ equal(n5,n6)
& ~ equal(n5,n7)
& ~ equal(n5,n8)
& ~ equal(n5,n9)
& ~ equal(n5,n10)
& ~ equal(n6,n7)
& ~ equal(n6,n8)
& ~ equal(n6,n9)
& ~ equal(n6,n10)
& ~ equal(n7,n8)
& ~ equal(n7,n9)
& ~ equal(n7,n10)
& ~ equal(n8,n9)
& ~ equal(n8,n10)
& ~ equal(n9,n10) ),
inference(variable_rename,[status(thm)],[1]) ).
fof(3,plain,
( equal(succ(n0),n1)
& equal(succ(n1),n2)
& equal(succ(n2),n3)
& equal(succ(n3),n4)
& equal(succ(n4),n5)
& equal(succ(n5),n6)
& equal(succ(n6),n7)
& equal(succ(n7),n8)
& equal(succ(n8),n9)
& equal(succ(n9),n10)
& equal(succ(n10),n0)
& equal(pred(n0),n10)
& equal(pred(n1),n0)
& equal(pred(n2),n1)
& equal(pred(n3),n2)
& equal(pred(n4),n3)
& equal(pred(n5),n4)
& equal(pred(n6),n5)
& equal(pred(n7),n6)
& equal(pred(n8),n7)
& equal(pred(n9),n8)
& equal(pred(n10),n9)
& equal(sum(n0,n0),n0)
& equal(sum(n0,n1),n1)
& equal(sum(n0,n2),n2)
& equal(sum(n0,n3),n3)
& equal(sum(n0,n4),n4)
& equal(sum(n0,n5),n5)
& equal(sum(n0,n6),n6)
& equal(sum(n0,n7),n7)
& equal(sum(n0,n8),n8)
& equal(sum(n0,n9),n9)
& equal(sum(n0,n10),n10)
& equal(sum(n1,n0),n1)
& equal(sum(n1,n1),n2)
& equal(sum(n1,n2),n3)
& equal(sum(n1,n3),n4)
& equal(sum(n1,n4),n5)
& equal(sum(n1,n5),n6)
& equal(sum(n1,n6),n7)
& equal(sum(n1,n7),n8)
& equal(sum(n1,n8),n9)
& equal(sum(n1,n9),n10)
& equal(sum(n1,n10),n0)
& equal(sum(n2,n0),n2)
& equal(sum(n2,n1),n3)
& equal(sum(n2,n2),n4)
& equal(sum(n2,n3),n5)
& equal(sum(n2,n4),n6)
& equal(sum(n2,n5),n7)
& equal(sum(n2,n6),n8)
& equal(sum(n2,n7),n9)
& equal(sum(n2,n8),n10)
& equal(sum(n2,n9),n0)
& equal(sum(n2,n10),n1)
& equal(sum(n3,n0),n3)
& equal(sum(n3,n1),n4)
& equal(sum(n3,n2),n5)
& equal(sum(n3,n3),n6)
& equal(sum(n3,n4),n7)
& equal(sum(n3,n5),n8)
& equal(sum(n3,n6),n9)
& equal(sum(n3,n7),n10)
& equal(sum(n3,n8),n0)
& equal(sum(n3,n9),n1)
& equal(sum(n3,n10),n2)
& equal(sum(n4,n0),n4)
& equal(sum(n4,n1),n5)
& equal(sum(n4,n2),n6)
& equal(sum(n4,n3),n7)
& equal(sum(n4,n4),n8)
& equal(sum(n4,n5),n9)
& equal(sum(n4,n6),n10)
& equal(sum(n4,n7),n0)
& equal(sum(n4,n8),n1)
& equal(sum(n4,n9),n2)
& equal(sum(n4,n10),n3)
& equal(sum(n5,n0),n5)
& equal(sum(n5,n1),n6)
& equal(sum(n5,n2),n7)
& equal(sum(n5,n3),n8)
& equal(sum(n5,n4),n9)
& equal(sum(n5,n5),n10)
& equal(sum(n5,n6),n0)
& equal(sum(n5,n7),n1)
& equal(sum(n5,n8),n2)
& equal(sum(n5,n9),n3)
& equal(sum(n5,n10),n4)
& equal(sum(n6,n0),n6)
& equal(sum(n6,n1),n7)
& equal(sum(n6,n2),n8)
& equal(sum(n6,n3),n9)
& equal(sum(n6,n4),n10)
& equal(sum(n6,n5),n0)
& equal(sum(n6,n6),n1)
& equal(sum(n6,n7),n2)
& equal(sum(n6,n8),n3)
& equal(sum(n6,n9),n4)
& equal(sum(n6,n10),n5)
& equal(sum(n7,n0),n7)
& equal(sum(n7,n1),n8)
& equal(sum(n7,n2),n9)
& equal(sum(n7,n3),n10)
& equal(sum(n7,n4),n0)
& equal(sum(n7,n5),n1)
& equal(sum(n7,n6),n2)
& equal(sum(n7,n7),n3)
& equal(sum(n7,n8),n4)
& equal(sum(n7,n9),n5)
& equal(sum(n7,n10),n6)
& equal(sum(n8,n0),n8)
& equal(sum(n8,n1),n9)
& equal(sum(n8,n2),n10)
& equal(sum(n8,n3),n0)
& equal(sum(n8,n4),n1)
& equal(sum(n8,n5),n2)
& equal(sum(n8,n6),n3)
& equal(sum(n8,n7),n4)
& equal(sum(n8,n8),n5)
& equal(sum(n8,n9),n6)
& equal(sum(n8,n10),n7)
& equal(sum(n9,n0),n9)
& equal(sum(n9,n1),n10)
& equal(sum(n9,n2),n0)
& equal(sum(n9,n3),n1)
& equal(sum(n9,n4),n2)
& equal(sum(n9,n5),n3)
& equal(sum(n9,n6),n4)
& equal(sum(n9,n7),n5)
& equal(sum(n9,n8),n6)
& equal(sum(n9,n9),n7)
& equal(sum(n9,n10),n8)
& equal(sum(n10,n0),n10)
& equal(sum(n10,n1),n0)
& equal(sum(n10,n2),n1)
& equal(sum(n10,n3),n2)
& equal(sum(n10,n4),n3)
& equal(sum(n10,n5),n4)
& equal(sum(n10,n6),n5)
& equal(sum(n10,n7),n6)
& equal(sum(n10,n8),n7)
& equal(sum(n10,n9),n8)
& equal(sum(n10,n10),n9)
& ( equal(esk1_0,n0)
| equal(esk1_0,n1)
| equal(esk1_0,n2)
| equal(esk1_0,n3)
| equal(esk1_0,n4)
| equal(esk1_0,n5)
| equal(esk1_0,n6)
| equal(esk1_0,n7)
| equal(esk1_0,n8)
| equal(esk1_0,n9)
| equal(esk1_0,n10) )
& ( equal(esk2_0,n0)
| equal(esk2_0,n1)
| equal(esk2_0,n2)
| equal(esk2_0,n3)
| equal(esk2_0,n4)
| equal(esk2_0,n5)
| equal(esk2_0,n6)
| equal(esk2_0,n7)
| equal(esk2_0,n8)
| equal(esk2_0,n9)
| equal(esk2_0,n10) )
& equal(esk3_0,sum(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(n0,n1)
& ~ equal(n0,n2)
& ~ equal(n0,n3)
& ~ equal(n0,n4)
& ~ equal(n0,n5)
& ~ equal(n0,n6)
& ~ equal(n0,n7)
& ~ equal(n0,n8)
& ~ equal(n0,n9)
& ~ equal(n0,n10)
& ~ equal(n1,n2)
& ~ equal(n1,n3)
& ~ equal(n1,n4)
& ~ equal(n1,n5)
& ~ equal(n1,n6)
& ~ equal(n1,n7)
& ~ equal(n1,n8)
& ~ equal(n1,n9)
& ~ equal(n1,n10)
& ~ equal(n2,n3)
& ~ equal(n2,n4)
& ~ equal(n2,n5)
& ~ equal(n2,n6)
& ~ equal(n2,n7)
& ~ equal(n2,n8)
& ~ equal(n2,n9)
& ~ equal(n2,n10)
& ~ equal(n3,n4)
& ~ equal(n3,n5)
& ~ equal(n3,n6)
& ~ equal(n3,n7)
& ~ equal(n3,n8)
& ~ equal(n3,n9)
& ~ equal(n3,n10)
& ~ equal(n4,n5)
& ~ equal(n4,n6)
& ~ equal(n4,n7)
& ~ equal(n4,n8)
& ~ equal(n4,n9)
& ~ equal(n4,n10)
& ~ equal(n5,n6)
& ~ equal(n5,n7)
& ~ equal(n5,n8)
& ~ equal(n5,n9)
& ~ equal(n5,n10)
& ~ equal(n6,n7)
& ~ equal(n6,n8)
& ~ equal(n6,n9)
& ~ equal(n6,n10)
& ~ equal(n7,n8)
& ~ equal(n7,n9)
& ~ equal(n7,n10)
& ~ equal(n8,n9)
& ~ equal(n8,n10)
& ~ equal(n9,n10) ),
inference(skolemize,[status(esa)],[2]) ).
cnf(59,plain,
esk3_0 != n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(60,plain,
esk3_0 != n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(61,plain,
esk3_0 != n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(62,plain,
esk3_0 != n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(63,plain,
esk3_0 != n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(64,plain,
esk3_0 != n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(65,plain,
esk3_0 != n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(66,plain,
esk3_0 != n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(67,plain,
esk3_0 != n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(68,plain,
esk3_0 != n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(69,plain,
esk3_0 != n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(70,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(71,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk2_0 = n0 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(72,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk1_0 = n0 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(73,plain,
sum(n10,n10) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(74,plain,
sum(n10,n9) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(75,plain,
sum(n10,n8) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(76,plain,
sum(n10,n7) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(77,plain,
sum(n10,n6) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(78,plain,
sum(n10,n5) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(79,plain,
sum(n10,n4) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(80,plain,
sum(n10,n3) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(81,plain,
sum(n10,n2) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(82,plain,
sum(n10,n1) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(83,plain,
sum(n10,n0) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(84,plain,
sum(n9,n10) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(85,plain,
sum(n9,n9) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(86,plain,
sum(n9,n8) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(87,plain,
sum(n9,n7) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(88,plain,
sum(n9,n6) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(89,plain,
sum(n9,n5) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(90,plain,
sum(n9,n4) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(91,plain,
sum(n9,n3) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(92,plain,
sum(n9,n2) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(93,plain,
sum(n9,n1) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(94,plain,
sum(n9,n0) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(95,plain,
sum(n8,n10) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(96,plain,
sum(n8,n9) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(97,plain,
sum(n8,n8) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(98,plain,
sum(n8,n7) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(99,plain,
sum(n8,n6) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(100,plain,
sum(n8,n5) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(101,plain,
sum(n8,n4) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(102,plain,
sum(n8,n3) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(103,plain,
sum(n8,n2) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(104,plain,
sum(n8,n1) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(105,plain,
sum(n8,n0) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(106,plain,
sum(n7,n10) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(107,plain,
sum(n7,n9) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(108,plain,
sum(n7,n8) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(109,plain,
sum(n7,n7) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(110,plain,
sum(n7,n6) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(111,plain,
sum(n7,n5) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(112,plain,
sum(n7,n4) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(113,plain,
sum(n7,n3) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(114,plain,
sum(n7,n2) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(115,plain,
sum(n7,n1) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(116,plain,
sum(n7,n0) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(117,plain,
sum(n6,n10) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(118,plain,
sum(n6,n9) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(119,plain,
sum(n6,n8) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(120,plain,
sum(n6,n7) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(121,plain,
sum(n6,n6) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(122,plain,
sum(n6,n5) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(123,plain,
sum(n6,n4) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(124,plain,
sum(n6,n3) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(125,plain,
sum(n6,n2) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(126,plain,
sum(n6,n1) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(127,plain,
sum(n6,n0) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(128,plain,
sum(n5,n10) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(129,plain,
sum(n5,n9) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(130,plain,
sum(n5,n8) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(131,plain,
sum(n5,n7) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(132,plain,
sum(n5,n6) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(133,plain,
sum(n5,n5) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(134,plain,
sum(n5,n4) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(135,plain,
sum(n5,n3) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(136,plain,
sum(n5,n2) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(137,plain,
sum(n5,n1) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(138,plain,
sum(n5,n0) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(139,plain,
sum(n4,n10) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(140,plain,
sum(n4,n9) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(141,plain,
sum(n4,n8) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(142,plain,
sum(n4,n7) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(143,plain,
sum(n4,n6) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(144,plain,
sum(n4,n5) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(145,plain,
sum(n4,n4) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(146,plain,
sum(n4,n3) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(147,plain,
sum(n4,n2) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(148,plain,
sum(n4,n1) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(149,plain,
sum(n4,n0) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(150,plain,
sum(n3,n10) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(151,plain,
sum(n3,n9) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(152,plain,
sum(n3,n8) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(153,plain,
sum(n3,n7) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(154,plain,
sum(n3,n6) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(155,plain,
sum(n3,n5) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(156,plain,
sum(n3,n4) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(157,plain,
sum(n3,n3) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(158,plain,
sum(n3,n2) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(159,plain,
sum(n3,n1) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(160,plain,
sum(n3,n0) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(161,plain,
sum(n2,n10) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(162,plain,
sum(n2,n9) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(163,plain,
sum(n2,n8) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(164,plain,
sum(n2,n7) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(165,plain,
sum(n2,n6) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(166,plain,
sum(n2,n5) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(167,plain,
sum(n2,n4) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(168,plain,
sum(n2,n3) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(169,plain,
sum(n2,n2) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(170,plain,
sum(n2,n1) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(171,plain,
sum(n2,n0) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(172,plain,
sum(n1,n10) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(173,plain,
sum(n1,n9) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(174,plain,
sum(n1,n8) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(175,plain,
sum(n1,n7) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(176,plain,
sum(n1,n6) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(177,plain,
sum(n1,n5) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(178,plain,
sum(n1,n4) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(179,plain,
sum(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(180,plain,
sum(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(181,plain,
sum(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(182,plain,
sum(n1,n0) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(183,plain,
sum(n0,n10) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(184,plain,
sum(n0,n9) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(185,plain,
sum(n0,n8) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(186,plain,
sum(n0,n7) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(187,plain,
sum(n0,n6) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(188,plain,
sum(n0,n5) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(189,plain,
sum(n0,n4) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(190,plain,
sum(n0,n3) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(191,plain,
sum(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(192,plain,
sum(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(193,plain,
sum(n0,n0) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(194,plain,
pred(n10) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(195,plain,
pred(n9) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(196,plain,
pred(n8) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(197,plain,
pred(n7) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(198,plain,
pred(n6) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(199,plain,
pred(n5) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(200,plain,
pred(n4) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(201,plain,
pred(n3) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(202,plain,
pred(n2) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(203,plain,
pred(n1) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(204,plain,
pred(n0) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(205,plain,
succ(n10) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(206,plain,
succ(n9) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(207,plain,
succ(n8) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(208,plain,
succ(n7) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(209,plain,
succ(n6) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(210,plain,
succ(n5) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(211,plain,
succ(n4) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(212,plain,
succ(n3) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(213,plain,
succ(n2) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(214,plain,
succ(n1) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(215,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(236,plain,
( sum(pred(sum(n0,succ(esk2_0))),sum(esk2_0,pred(sum(n0,esk2_0)))) = 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)],[70,72,theory(equality)]) ).
cnf(237,plain,
( sum(pred(sum(esk1_0,succ(n0))),sum(n0,pred(sum(esk1_0,n0)))) = 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)],[70,71,theory(equality)]) ).
cnf(238,plain,
( sum(pred(sum(esk1_0,n1)),sum(n0,pred(sum(esk1_0,n0)))) = 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)],[237,215,theory(equality)]) ).
cnf(239,plain,
( sum(pred(sum(n0,n1)),sum(n0,pred(sum(n0,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 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[238,72,theory(equality)]) ).
cnf(240,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 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[239,192,theory(equality)]),203,theory(equality)]),193,theory(equality)]),204,theory(equality)]),183,theory(equality)]),183,theory(equality)]) ).
cnf(241,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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)],[240,59,theory(equality)]) ).
cnf(255,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
| esk1_0 = n1
| 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)],[238,241,theory(equality)]) ).
cnf(256,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[255,82,theory(equality)]),204,theory(equality)]),83,theory(equality)]),194,theory(equality)]),184,theory(equality)]),74,theory(equality)]) ).
cnf(257,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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)],[256,61,theory(equality)]) ).
cnf(267,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
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[238,257,theory(equality)]) ).
cnf(268,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 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[267,93,theory(equality)]),194,theory(equality)]),94,theory(equality)]),195,theory(equality)]),185,theory(equality)]),86,theory(equality)]) ).
cnf(269,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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)],[268,63,theory(equality)]) ).
cnf(278,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
| 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)],[238,269,theory(equality)]) ).
cnf(279,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[278,104,theory(equality)]),195,theory(equality)]),105,theory(equality)]),196,theory(equality)]),186,theory(equality)]),98,theory(equality)]) ).
cnf(280,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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)],[279,65,theory(equality)]) ).
cnf(288,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
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[238,280,theory(equality)]) ).
cnf(289,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 = n6
| esk1_0 = n5
| 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)],[288,115,theory(equality)]),196,theory(equality)]),116,theory(equality)]),197,theory(equality)]),187,theory(equality)]),110,theory(equality)]) ).
cnf(290,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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)],[289,67,theory(equality)]) ).
cnf(297,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(spm,[status(thm)],[238,290,theory(equality)]) ).
cnf(298,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[297,126,theory(equality)]),197,theory(equality)]),127,theory(equality)]),198,theory(equality)]),188,theory(equality)]),122,theory(equality)]) ).
cnf(299,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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)],[298,69,theory(equality)]) ).
cnf(305,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
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[238,299,theory(equality)]) ).
cnf(306,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = 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)],[305,137,theory(equality)]),198,theory(equality)]),138,theory(equality)]),199,theory(equality)]),189,theory(equality)]),134,theory(equality)]) ).
cnf(307,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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)],[306,60,theory(equality)]) ).
cnf(312,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(spm,[status(thm)],[238,307,theory(equality)]) ).
cnf(313,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = 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)],[312,148,theory(equality)]),199,theory(equality)]),149,theory(equality)]),200,theory(equality)]),190,theory(equality)]),146,theory(equality)]) ).
cnf(314,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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)],[313,62,theory(equality)]) ).
cnf(318,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
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[238,314,theory(equality)]) ).
cnf(319,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = 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)],[318,159,theory(equality)]),200,theory(equality)]),160,theory(equality)]),201,theory(equality)]),191,theory(equality)]),158,theory(equality)]) ).
cnf(320,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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)],[319,64,theory(equality)]) ).
cnf(330,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
| esk1_0 = n1 ),
inference(spm,[status(thm)],[238,320,theory(equality)]) ).
cnf(331,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = 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)],[330,170,theory(equality)]),201,theory(equality)]),171,theory(equality)]),202,theory(equality)]),192,theory(equality)]),170,theory(equality)]) ).
cnf(332,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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)],[331,66,theory(equality)]) ).
cnf(334,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 ),
inference(spm,[status(thm)],[238,332,theory(equality)]) ).
cnf(335,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[334,181,theory(equality)]),202,theory(equality)]),182,theory(equality)]),203,theory(equality)]),193,theory(equality)]),182,theory(equality)]) ).
cnf(336,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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)],[335,68,theory(equality)]) ).
cnf(346,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)],[70,336,theory(equality)]) ).
cnf(347,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
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[236,336,theory(equality)]) ).
cnf(348,plain,
( sum(pred(sum(esk1_0,n0)),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)],[346,205,theory(equality)]) ).
cnf(349,plain,
( n7 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = 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)],[347,205,theory(equality)]),193,theory(equality)]),204,theory(equality)]),183,theory(equality)]),194,theory(equality)]),74,theory(equality)]),75,theory(equality)]) ).
cnf(350,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n9
| esk2_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)],[349,62,theory(equality)]) ).
cnf(362,plain,
( sum(pred(sum(n10,n0)),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 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[348,350,theory(equality)]) ).
cnf(365,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 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[362,83,theory(equality)]),194,theory(equality)]),73,theory(equality)]),195,theory(equality)]),75,theory(equality)]),87,theory(equality)]) ).
cnf(366,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[365,64,theory(equality)]) ).
cnf(376,plain,
( sum(pred(sum(n9,n0)),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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[348,366,theory(equality)]) ).
cnf(377,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[376,94,theory(equality)]),195,theory(equality)]),84,theory(equality)]),196,theory(equality)]),76,theory(equality)]),99,theory(equality)]) ).
cnf(378,plain,
( esk2_0 = n1
| esk2_0 = 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 ),
inference(sr,[status(thm)],[377,66,theory(equality)]) ).
cnf(387,plain,
( sum(pred(sum(n8,n0)),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 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[348,378,theory(equality)]) ).
cnf(388,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 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[387,105,theory(equality)]),196,theory(equality)]),95,theory(equality)]),197,theory(equality)]),77,theory(equality)]),111,theory(equality)]) ).
cnf(389,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[388,68,theory(equality)]) ).
cnf(397,plain,
( sum(pred(sum(n7,n0)),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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[348,389,theory(equality)]) ).
cnf(398,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[397,116,theory(equality)]),197,theory(equality)]),106,theory(equality)]),198,theory(equality)]),78,theory(equality)]),123,theory(equality)]) ).
cnf(399,plain,
( esk2_0 = n1
| esk2_0 = 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 ),
inference(sr,[status(thm)],[398,59,theory(equality)]) ).
cnf(406,plain,
( sum(pred(sum(n6,n0)),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 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[348,399,theory(equality)]) ).
cnf(407,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
| esk1_0 = n5
| 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)],[406,127,theory(equality)]),198,theory(equality)]),117,theory(equality)]),199,theory(equality)]),79,theory(equality)]),135,theory(equality)]) ).
cnf(408,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[407,61,theory(equality)]) ).
cnf(414,plain,
( sum(pred(sum(n5,n0)),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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[348,408,theory(equality)]) ).
cnf(415,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[414,138,theory(equality)]),199,theory(equality)]),128,theory(equality)]),200,theory(equality)]),80,theory(equality)]),147,theory(equality)]) ).
cnf(416,plain,
( esk2_0 = n1
| esk2_0 = 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 ),
inference(sr,[status(thm)],[415,63,theory(equality)]) ).
cnf(421,plain,
( sum(pred(sum(n4,n0)),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 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[348,416,theory(equality)]) ).
cnf(422,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
| 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)],[421,149,theory(equality)]),200,theory(equality)]),139,theory(equality)]),201,theory(equality)]),81,theory(equality)]),159,theory(equality)]) ).
cnf(423,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[422,65,theory(equality)]) ).
cnf(427,plain,
( sum(pred(sum(n3,n0)),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 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[348,423,theory(equality)]) ).
cnf(428,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
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[427,160,theory(equality)]),201,theory(equality)]),150,theory(equality)]),202,theory(equality)]),82,theory(equality)]),171,theory(equality)]) ).
cnf(429,plain,
( esk2_0 = n1
| esk2_0 = 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 ),
inference(sr,[status(thm)],[428,67,theory(equality)]) ).
cnf(432,plain,
( sum(pred(sum(n2,n0)),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)],[348,429,theory(equality)]) ).
cnf(433,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
| 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)],[432,171,theory(equality)]),202,theory(equality)]),161,theory(equality)]),203,theory(equality)]),83,theory(equality)]),172,theory(equality)]) ).
cnf(434,plain,
( esk2_0 = n1
| esk2_0 = 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)],[433,69,theory(equality)]) ).
cnf(444,plain,
( sum(pred(sum(n1,n0)),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)],[348,434,theory(equality)]) ).
cnf(445,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[444,182,theory(equality)]),203,theory(equality)]),172,theory(equality)]),204,theory(equality)]),73,theory(equality)]),184,theory(equality)]) ).
cnf(446,plain,
( esk2_0 = n1
| 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)],[445,60,theory(equality)]) ).
cnf(455,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)],[70,446,theory(equality)]) ).
cnf(456,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
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[236,446,theory(equality)]) ).
cnf(457,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)],[455,206,theory(equality)]) ).
cnf(458,plain,
( n4 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = 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)],[456,206,theory(equality)]),183,theory(equality)]),194,theory(equality)]),184,theory(equality)]),195,theory(equality)]),86,theory(equality)]),88,theory(equality)]) ).
cnf(459,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(sr,[status(thm)],[458,65,theory(equality)]) ).
cnf(471,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 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[457,459,theory(equality)]) ).
cnf(474,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 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[471,73,theory(equality)]),195,theory(equality)]),74,theory(equality)]),196,theory(equality)]),87,theory(equality)]),100,theory(equality)]) ).
cnf(475,plain,
( 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 = n9
| esk1_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)],[474,67,theory(equality)]) ).
cnf(485,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[457,475,theory(equality)]) ).
cnf(486,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[485,84,theory(equality)]),196,theory(equality)]),85,theory(equality)]),197,theory(equality)]),88,theory(equality)]),112,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(sr,[status(thm)],[486,69,theory(equality)]) ).
cnf(496,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 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[457,487,theory(equality)]) ).
cnf(497,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
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[496,95,theory(equality)]),197,theory(equality)]),96,theory(equality)]),198,theory(equality)]),89,theory(equality)]),124,theory(equality)]) ).
cnf(498,plain,
( 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 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[497,60,theory(equality)]) ).
cnf(506,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[457,498,theory(equality)]) ).
cnf(507,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[506,106,theory(equality)]),198,theory(equality)]),107,theory(equality)]),199,theory(equality)]),90,theory(equality)]),136,theory(equality)]) ).
cnf(508,plain,
( 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 ),
inference(sr,[status(thm)],[507,62,theory(equality)]) ).
cnf(515,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 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[457,508,theory(equality)]) ).
cnf(516,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
| esk1_0 = n5
| 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)],[515,117,theory(equality)]),199,theory(equality)]),118,theory(equality)]),200,theory(equality)]),91,theory(equality)]),148,theory(equality)]) ).
cnf(517,plain,
( 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 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[516,64,theory(equality)]) ).
cnf(523,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[457,517,theory(equality)]) ).
cnf(524,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[523,128,theory(equality)]),200,theory(equality)]),129,theory(equality)]),201,theory(equality)]),92,theory(equality)]),160,theory(equality)]) ).
cnf(525,plain,
( 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 ),
inference(sr,[status(thm)],[524,66,theory(equality)]) ).
cnf(535,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 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[457,525,theory(equality)]) ).
cnf(536,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
| 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)],[535,139,theory(equality)]),201,theory(equality)]),140,theory(equality)]),202,theory(equality)]),93,theory(equality)]),161,theory(equality)]) ).
cnf(537,plain,
( 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 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[536,68,theory(equality)]) ).
cnf(541,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 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[457,537,theory(equality)]) ).
cnf(542,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[541,150,theory(equality)]),202,theory(equality)]),151,theory(equality)]),203,theory(equality)]),94,theory(equality)]),173,theory(equality)]) ).
cnf(543,plain,
( 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 ),
inference(sr,[status(thm)],[542,59,theory(equality)]) ).
cnf(546,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)],[457,543,theory(equality)]) ).
cnf(547,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 = 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)],[546,161,theory(equality)]),203,theory(equality)]),162,theory(equality)]),204,theory(equality)]),84,theory(equality)]),185,theory(equality)]) ).
cnf(548,plain,
( 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)],[547,61,theory(equality)]) ).
cnf(550,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)],[457,548,theory(equality)]) ).
cnf(551,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[550,172,theory(equality)]),204,theory(equality)]),173,theory(equality)]),194,theory(equality)]),85,theory(equality)]),76,theory(equality)]) ).
cnf(552,plain,
( esk2_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)],[551,63,theory(equality)]) ).
cnf(560,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)],[70,552,theory(equality)]) ).
cnf(561,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
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[236,552,theory(equality)]) ).
cnf(562,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)],[560,207,theory(equality)]) ).
cnf(563,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = 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)],[561,207,theory(equality)]),184,theory(equality)]),195,theory(equality)]),185,theory(equality)]),196,theory(equality)]),98,theory(equality)]),101,theory(equality)]) ).
cnf(564,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| 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)],[563,68,theory(equality)]) ).
cnf(576,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 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[562,564,theory(equality)]) ).
cnf(579,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
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[576,74,theory(equality)]),196,theory(equality)]),75,theory(equality)]),197,theory(equality)]),99,theory(equality)]),113,theory(equality)]) ).
cnf(580,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[579,59,theory(equality)]) ).
cnf(590,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[562,580,theory(equality)]) ).
cnf(591,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[590,85,theory(equality)]),197,theory(equality)]),86,theory(equality)]),198,theory(equality)]),100,theory(equality)]),125,theory(equality)]) ).
cnf(592,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 ),
inference(sr,[status(thm)],[591,61,theory(equality)]) ).
cnf(601,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 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[562,592,theory(equality)]) ).
cnf(602,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
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[601,96,theory(equality)]),198,theory(equality)]),97,theory(equality)]),199,theory(equality)]),101,theory(equality)]),137,theory(equality)]) ).
cnf(603,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[602,63,theory(equality)]) ).
cnf(611,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[562,603,theory(equality)]) ).
cnf(612,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[611,107,theory(equality)]),199,theory(equality)]),108,theory(equality)]),200,theory(equality)]),102,theory(equality)]),149,theory(equality)]) ).
cnf(613,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 ),
inference(sr,[status(thm)],[612,65,theory(equality)]) ).
cnf(620,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 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[562,613,theory(equality)]) ).
cnf(621,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
| esk1_0 = n5
| 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)],[620,118,theory(equality)]),200,theory(equality)]),119,theory(equality)]),201,theory(equality)]),103,theory(equality)]),150,theory(equality)]) ).
cnf(622,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[621,67,theory(equality)]) ).
cnf(628,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[562,622,theory(equality)]) ).
cnf(629,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
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[628,129,theory(equality)]),201,theory(equality)]),130,theory(equality)]),202,theory(equality)]),104,theory(equality)]),162,theory(equality)]) ).
cnf(630,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 ),
inference(sr,[status(thm)],[629,69,theory(equality)]) ).
cnf(635,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 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[562,630,theory(equality)]) ).
cnf(636,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 = 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)],[635,140,theory(equality)]),202,theory(equality)]),141,theory(equality)]),203,theory(equality)]),105,theory(equality)]),174,theory(equality)]) ).
cnf(637,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[636,60,theory(equality)]) ).
cnf(641,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 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[562,637,theory(equality)]) ).
cnf(642,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[641,151,theory(equality)]),203,theory(equality)]),152,theory(equality)]),204,theory(equality)]),95,theory(equality)]),186,theory(equality)]) ).
cnf(643,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 ),
inference(sr,[status(thm)],[642,62,theory(equality)]) ).
cnf(646,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)],[562,643,theory(equality)]) ).
cnf(647,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 = 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)],[646,162,theory(equality)]),204,theory(equality)]),163,theory(equality)]),194,theory(equality)]),96,theory(equality)]),77,theory(equality)]) ).
cnf(648,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)],[647,64,theory(equality)]) ).
cnf(658,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)],[562,648,theory(equality)]) ).
cnf(659,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[658,173,theory(equality)]),194,theory(equality)]),174,theory(equality)]),195,theory(equality)]),97,theory(equality)]),89,theory(equality)]) ).
cnf(660,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)],[659,66,theory(equality)]) ).
cnf(667,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)],[70,660,theory(equality)]) ).
cnf(668,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
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[236,660,theory(equality)]) ).
cnf(669,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)],[667,208,theory(equality)]) ).
cnf(670,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = 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)],[668,208,theory(equality)]),185,theory(equality)]),196,theory(equality)]),186,theory(equality)]),197,theory(equality)]),110,theory(equality)]),114,theory(equality)]) ).
cnf(671,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(sr,[status(thm)],[670,60,theory(equality)]) ).
cnf(685,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 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[669,671,theory(equality)]) ).
cnf(686,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[685,75,theory(equality)]),197,theory(equality)]),76,theory(equality)]),198,theory(equality)]),111,theory(equality)]),126,theory(equality)]) ).
cnf(687,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n9
| esk1_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)],[686,62,theory(equality)]) ).
cnf(697,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[669,687,theory(equality)]) ).
cnf(698,plain,
( n5 = 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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[697,86,theory(equality)]),198,theory(equality)]),87,theory(equality)]),199,theory(equality)]),112,theory(equality)]),138,theory(equality)]) ).
cnf(699,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 ),
inference(sr,[status(thm)],[698,64,theory(equality)]) ).
cnf(708,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 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[669,699,theory(equality)]) ).
cnf(709,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[708,97,theory(equality)]),199,theory(equality)]),98,theory(equality)]),200,theory(equality)]),113,theory(equality)]),139,theory(equality)]) ).
cnf(710,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| 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)],[709,66,theory(equality)]) ).
cnf(718,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[669,710,theory(equality)]) ).
cnf(719,plain,
( n1 = 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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[718,108,theory(equality)]),200,theory(equality)]),109,theory(equality)]),201,theory(equality)]),114,theory(equality)]),151,theory(equality)]) ).
cnf(720,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 ),
inference(sr,[status(thm)],[719,68,theory(equality)]) ).
cnf(727,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 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[669,720,theory(equality)]) ).
cnf(728,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n5
| 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)],[727,119,theory(equality)]),201,theory(equality)]),120,theory(equality)]),202,theory(equality)]),115,theory(equality)]),163,theory(equality)]) ).
cnf(729,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[728,59,theory(equality)]) ).
cnf(735,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[669,729,theory(equality)]) ).
cnf(736,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[735,130,theory(equality)]),202,theory(equality)]),131,theory(equality)]),203,theory(equality)]),116,theory(equality)]),175,theory(equality)]) ).
cnf(737,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 ),
inference(sr,[status(thm)],[736,61,theory(equality)]) ).
cnf(742,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 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[669,737,theory(equality)]) ).
cnf(743,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| 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)],[742,141,theory(equality)]),203,theory(equality)]),142,theory(equality)]),204,theory(equality)]),106,theory(equality)]),187,theory(equality)]) ).
cnf(744,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[743,63,theory(equality)]) ).
cnf(748,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 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[669,744,theory(equality)]) ).
cnf(749,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[748,152,theory(equality)]),204,theory(equality)]),153,theory(equality)]),194,theory(equality)]),107,theory(equality)]),78,theory(equality)]) ).
cnf(750,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 ),
inference(sr,[status(thm)],[749,65,theory(equality)]) ).
cnf(760,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)],[669,750,theory(equality)]) ).
cnf(761,plain,
( n2 = 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)],[760,163,theory(equality)]),194,theory(equality)]),164,theory(equality)]),195,theory(equality)]),108,theory(equality)]),90,theory(equality)]) ).
cnf(762,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)],[761,67,theory(equality)]) ).
cnf(764,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)],[669,762,theory(equality)]) ).
cnf(765,plain,
( n0 = 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)],[764,174,theory(equality)]),195,theory(equality)]),175,theory(equality)]),196,theory(equality)]),109,theory(equality)]),102,theory(equality)]) ).
cnf(766,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(sr,[status(thm)],[765,69,theory(equality)]) ).
cnf(772,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)],[70,766,theory(equality)]) ).
cnf(773,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
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[236,766,theory(equality)]) ).
cnf(774,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)],[772,209,theory(equality)]) ).
cnf(775,plain,
( n6 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = 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)],[773,209,theory(equality)]),186,theory(equality)]),197,theory(equality)]),187,theory(equality)]),198,theory(equality)]),122,theory(equality)]),127,theory(equality)]) ).
cnf(776,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(sr,[status(thm)],[775,63,theory(equality)]) ).
cnf(790,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 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[774,776,theory(equality)]) ).
cnf(791,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[790,76,theory(equality)]),198,theory(equality)]),77,theory(equality)]),199,theory(equality)]),123,theory(equality)]),128,theory(equality)]) ).
cnf(792,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[791,65,theory(equality)]) ).
cnf(802,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[774,792,theory(equality)]) ).
cnf(803,plain,
( n2 = 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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[802,87,theory(equality)]),199,theory(equality)]),88,theory(equality)]),200,theory(equality)]),124,theory(equality)]),140,theory(equality)]) ).
cnf(804,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 ),
inference(sr,[status(thm)],[803,67,theory(equality)]) ).
cnf(813,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 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[774,804,theory(equality)]) ).
cnf(814,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[813,98,theory(equality)]),200,theory(equality)]),99,theory(equality)]),201,theory(equality)]),125,theory(equality)]),152,theory(equality)]) ).
cnf(815,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[814,69,theory(equality)]) ).
cnf(823,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[774,815,theory(equality)]) ).
cnf(824,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[823,109,theory(equality)]),201,theory(equality)]),110,theory(equality)]),202,theory(equality)]),126,theory(equality)]),164,theory(equality)]) ).
cnf(825,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 ),
inference(sr,[status(thm)],[824,60,theory(equality)]) ).
cnf(832,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 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[774,825,theory(equality)]) ).
cnf(833,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[832,120,theory(equality)]),202,theory(equality)]),121,theory(equality)]),203,theory(equality)]),127,theory(equality)]),176,theory(equality)]) ).
cnf(834,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[833,62,theory(equality)]) ).
cnf(840,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[774,834,theory(equality)]) ).
cnf(841,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[840,131,theory(equality)]),203,theory(equality)]),132,theory(equality)]),204,theory(equality)]),117,theory(equality)]),188,theory(equality)]) ).
cnf(842,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 ),
inference(sr,[status(thm)],[841,64,theory(equality)]) ).
cnf(847,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 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[774,842,theory(equality)]) ).
cnf(848,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[847,142,theory(equality)]),204,theory(equality)]),143,theory(equality)]),194,theory(equality)]),118,theory(equality)]),79,theory(equality)]) ).
cnf(849,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[848,66,theory(equality)]) ).
cnf(853,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 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[774,849,theory(equality)]) ).
cnf(854,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[853,153,theory(equality)]),194,theory(equality)]),154,theory(equality)]),195,theory(equality)]),119,theory(equality)]),91,theory(equality)]) ).
cnf(855,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1
| esk1_0 = n2 ),
inference(sr,[status(thm)],[854,68,theory(equality)]) ).
cnf(865,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)],[774,855,theory(equality)]) ).
cnf(866,plain,
( n10 = 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)],[865,164,theory(equality)]),195,theory(equality)]),165,theory(equality)]),196,theory(equality)]),120,theory(equality)]),103,theory(equality)]) ).
cnf(867,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk1_0 = n1 ),
inference(sr,[status(thm)],[866,59,theory(equality)]) ).
cnf(869,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)],[774,867,theory(equality)]) ).
cnf(870,plain,
( n8 = 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)],[869,175,theory(equality)]),196,theory(equality)]),176,theory(equality)]),197,theory(equality)]),121,theory(equality)]),115,theory(equality)]) ).
cnf(871,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(sr,[status(thm)],[870,61,theory(equality)]) ).
cnf(876,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)],[70,871,theory(equality)]) ).
cnf(877,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
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[236,871,theory(equality)]) ).
cnf(878,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)],[876,210,theory(equality)]) ).
cnf(879,plain,
( n3 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = 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)],[877,210,theory(equality)]),187,theory(equality)]),198,theory(equality)]),188,theory(equality)]),199,theory(equality)]),134,theory(equality)]),129,theory(equality)]) ).
cnf(880,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(sr,[status(thm)],[879,66,theory(equality)]) ).
cnf(894,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 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[878,880,theory(equality)]) ).
cnf(895,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[894,77,theory(equality)]),199,theory(equality)]),78,theory(equality)]),200,theory(equality)]),135,theory(equality)]),141,theory(equality)]) ).
cnf(896,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n9
| esk1_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)],[895,68,theory(equality)]) ).
cnf(906,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[878,896,theory(equality)]) ).
cnf(907,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[906,88,theory(equality)]),200,theory(equality)]),89,theory(equality)]),201,theory(equality)]),136,theory(equality)]),153,theory(equality)]) ).
cnf(908,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 ),
inference(sr,[status(thm)],[907,59,theory(equality)]) ).
cnf(917,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 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[878,908,theory(equality)]) ).
cnf(918,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[917,99,theory(equality)]),201,theory(equality)]),100,theory(equality)]),202,theory(equality)]),137,theory(equality)]),165,theory(equality)]) ).
cnf(919,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| 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)],[918,61,theory(equality)]) ).
cnf(927,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[878,919,theory(equality)]) ).
cnf(928,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[927,110,theory(equality)]),202,theory(equality)]),111,theory(equality)]),203,theory(equality)]),138,theory(equality)]),177,theory(equality)]) ).
cnf(929,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 ),
inference(sr,[status(thm)],[928,63,theory(equality)]) ).
cnf(936,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 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[878,929,theory(equality)]) ).
cnf(937,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n5
| 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)],[936,121,theory(equality)]),203,theory(equality)]),122,theory(equality)]),204,theory(equality)]),128,theory(equality)]),189,theory(equality)]) ).
cnf(938,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[937,65,theory(equality)]) ).
cnf(944,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[878,938,theory(equality)]) ).
cnf(945,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[944,132,theory(equality)]),204,theory(equality)]),133,theory(equality)]),194,theory(equality)]),129,theory(equality)]),80,theory(equality)]) ).
cnf(946,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 ),
inference(sr,[status(thm)],[945,67,theory(equality)]) ).
cnf(951,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 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[878,946,theory(equality)]) ).
cnf(952,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_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)],[951,143,theory(equality)]),194,theory(equality)]),144,theory(equality)]),195,theory(equality)]),130,theory(equality)]),92,theory(equality)]) ).
cnf(953,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[952,69,theory(equality)]) ).
cnf(957,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 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[878,953,theory(equality)]) ).
cnf(958,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[957,154,theory(equality)]),195,theory(equality)]),155,theory(equality)]),196,theory(equality)]),131,theory(equality)]),104,theory(equality)]) ).
cnf(959,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1
| esk1_0 = n2 ),
inference(sr,[status(thm)],[958,60,theory(equality)]) ).
cnf(962,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)],[878,959,theory(equality)]) ).
cnf(963,plain,
( n7 = 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)],[962,165,theory(equality)]),196,theory(equality)]),166,theory(equality)]),197,theory(equality)]),132,theory(equality)]),116,theory(equality)]) ).
cnf(964,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk1_0 = n1 ),
inference(sr,[status(thm)],[963,62,theory(equality)]) ).
cnf(974,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)],[878,964,theory(equality)]) ).
cnf(975,plain,
( n5 = 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)],[974,176,theory(equality)]),197,theory(equality)]),177,theory(equality)]),198,theory(equality)]),133,theory(equality)]),117,theory(equality)]) ).
cnf(976,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(sr,[status(thm)],[975,64,theory(equality)]) ).
cnf(980,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)],[70,976,theory(equality)]) ).
cnf(981,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
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[236,976,theory(equality)]) ).
cnf(982,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)],[980,211,theory(equality)]) ).
cnf(983,plain,
( n0 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n3
| esk2_0 = 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)],[981,211,theory(equality)]),188,theory(equality)]),199,theory(equality)]),189,theory(equality)]),200,theory(equality)]),146,theory(equality)]),142,theory(equality)]) ).
cnf(984,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(sr,[status(thm)],[983,69,theory(equality)]) ).
cnf(996,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 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[982,984,theory(equality)]) ).
cnf(999,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[996,78,theory(equality)]),200,theory(equality)]),79,theory(equality)]),201,theory(equality)]),147,theory(equality)]),154,theory(equality)]) ).
cnf(1000,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[999,60,theory(equality)]) ).
cnf(1010,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[982,1000,theory(equality)]) ).
cnf(1011,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1010,89,theory(equality)]),201,theory(equality)]),90,theory(equality)]),202,theory(equality)]),148,theory(equality)]),166,theory(equality)]) ).
cnf(1012,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 ),
inference(sr,[status(thm)],[1011,62,theory(equality)]) ).
cnf(1021,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 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[982,1012,theory(equality)]) ).
cnf(1022,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1021,100,theory(equality)]),202,theory(equality)]),101,theory(equality)]),203,theory(equality)]),149,theory(equality)]),178,theory(equality)]) ).
cnf(1023,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1022,64,theory(equality)]) ).
cnf(1031,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[982,1023,theory(equality)]) ).
cnf(1032,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1031,111,theory(equality)]),203,theory(equality)]),112,theory(equality)]),204,theory(equality)]),139,theory(equality)]),190,theory(equality)]) ).
cnf(1033,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 ),
inference(sr,[status(thm)],[1032,66,theory(equality)]) ).
cnf(1040,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 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[982,1033,theory(equality)]) ).
cnf(1041,plain,
( n1 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1040,122,theory(equality)]),204,theory(equality)]),123,theory(equality)]),194,theory(equality)]),140,theory(equality)]),81,theory(equality)]) ).
cnf(1042,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1041,68,theory(equality)]) ).
cnf(1048,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 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[982,1042,theory(equality)]) ).
cnf(1049,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1048,133,theory(equality)]),194,theory(equality)]),134,theory(equality)]),195,theory(equality)]),141,theory(equality)]),93,theory(equality)]) ).
cnf(1050,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(sr,[status(thm)],[1049,59,theory(equality)]) ).
cnf(1055,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 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[982,1050,theory(equality)]) ).
cnf(1056,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1055,144,theory(equality)]),195,theory(equality)]),145,theory(equality)]),196,theory(equality)]),142,theory(equality)]),105,theory(equality)]) ).
cnf(1057,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1056,61,theory(equality)]) ).
cnf(1061,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 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[982,1057,theory(equality)]) ).
cnf(1062,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1061,155,theory(equality)]),196,theory(equality)]),156,theory(equality)]),197,theory(equality)]),143,theory(equality)]),106,theory(equality)]) ).
cnf(1063,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1
| esk1_0 = n2 ),
inference(sr,[status(thm)],[1062,63,theory(equality)]) ).
cnf(1066,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)],[982,1063,theory(equality)]) ).
cnf(1067,plain,
( n4 = 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)],[1066,166,theory(equality)]),197,theory(equality)]),167,theory(equality)]),198,theory(equality)]),144,theory(equality)]),118,theory(equality)]) ).
cnf(1068,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1067,65,theory(equality)]) ).
cnf(1078,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)],[982,1068,theory(equality)]) ).
cnf(1079,plain,
( n2 = 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)],[1078,177,theory(equality)]),198,theory(equality)]),178,theory(equality)]),199,theory(equality)]),145,theory(equality)]),130,theory(equality)]) ).
cnf(1080,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(sr,[status(thm)],[1079,67,theory(equality)]) ).
cnf(1083,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)],[70,1080,theory(equality)]) ).
cnf(1084,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
| esk2_0 = n2
| esk2_0 = n1 ),
inference(spm,[status(thm)],[236,1080,theory(equality)]) ).
cnf(1085,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)],[1083,212,theory(equality)]) ).
cnf(1086,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = 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)],[1084,212,theory(equality)]),189,theory(equality)]),200,theory(equality)]),190,theory(equality)]),201,theory(equality)]),158,theory(equality)]),155,theory(equality)]) ).
cnf(1087,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(sr,[status(thm)],[1086,61,theory(equality)]) ).
cnf(1099,plain,
( sum(pred(sum(n10,n4)),sum(n3,pred(sum(n10,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1085,1087,theory(equality)]) ).
cnf(1102,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[1099,79,theory(equality)]),201,theory(equality)]),80,theory(equality)]),202,theory(equality)]),159,theory(equality)]),167,theory(equality)]) ).
cnf(1103,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n9
| esk1_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)],[1102,63,theory(equality)]) ).
cnf(1113,plain,
( sum(pred(sum(n9,n4)),sum(n3,pred(sum(n9,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 ),
inference(spm,[status(thm)],[1085,1103,theory(equality)]) ).
cnf(1114,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1113,90,theory(equality)]),202,theory(equality)]),91,theory(equality)]),203,theory(equality)]),160,theory(equality)]),179,theory(equality)]) ).
cnf(1115,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 ),
inference(sr,[status(thm)],[1114,65,theory(equality)]) ).
cnf(1124,plain,
( sum(pred(sum(n8,n4)),sum(n3,pred(sum(n8,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1085,1115,theory(equality)]) ).
cnf(1125,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| 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)],[1124,101,theory(equality)]),203,theory(equality)]),102,theory(equality)]),204,theory(equality)]),150,theory(equality)]),191,theory(equality)]) ).
cnf(1126,plain,
( esk2_0 = n1
| esk2_0 = n2
| 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)],[1125,67,theory(equality)]) ).
cnf(1134,plain,
( sum(pred(sum(n7,n4)),sum(n3,pred(sum(n7,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 ),
inference(spm,[status(thm)],[1085,1126,theory(equality)]) ).
cnf(1135,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1134,112,theory(equality)]),204,theory(equality)]),113,theory(equality)]),194,theory(equality)]),151,theory(equality)]),82,theory(equality)]) ).
cnf(1136,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 ),
inference(sr,[status(thm)],[1135,69,theory(equality)]) ).
cnf(1143,plain,
( sum(pred(sum(n6,n4)),sum(n3,pred(sum(n6,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1085,1136,theory(equality)]) ).
cnf(1144,plain,
( n9 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n5
| 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)],[1143,123,theory(equality)]),194,theory(equality)]),124,theory(equality)]),195,theory(equality)]),152,theory(equality)]),94,theory(equality)]) ).
cnf(1145,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1144,60,theory(equality)]) ).
cnf(1151,plain,
( sum(pred(sum(n5,n4)),sum(n3,pred(sum(n5,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[1085,1145,theory(equality)]) ).
cnf(1152,plain,
( n7 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1151,134,theory(equality)]),195,theory(equality)]),135,theory(equality)]),196,theory(equality)]),153,theory(equality)]),95,theory(equality)]) ).
cnf(1153,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(sr,[status(thm)],[1152,62,theory(equality)]) ).
cnf(1158,plain,
( sum(pred(sum(n4,n4)),sum(n3,pred(sum(n4,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1085,1153,theory(equality)]) ).
cnf(1159,plain,
( n5 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| 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)],[1158,145,theory(equality)]),196,theory(equality)]),146,theory(equality)]),197,theory(equality)]),154,theory(equality)]),107,theory(equality)]) ).
cnf(1160,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1159,64,theory(equality)]) ).
cnf(1164,plain,
( sum(pred(sum(n3,n4)),sum(n3,pred(sum(n3,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[1085,1160,theory(equality)]) ).
cnf(1165,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1164,156,theory(equality)]),197,theory(equality)]),157,theory(equality)]),198,theory(equality)]),155,theory(equality)]),119,theory(equality)]) ).
cnf(1166,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1
| esk1_0 = n2 ),
inference(sr,[status(thm)],[1165,66,theory(equality)]) ).
cnf(1169,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)],[1085,1166,theory(equality)]) ).
cnf(1170,plain,
( n1 = 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)],[1169,167,theory(equality)]),198,theory(equality)]),168,theory(equality)]),199,theory(equality)]),156,theory(equality)]),131,theory(equality)]) ).
cnf(1171,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1170,68,theory(equality)]) ).
cnf(1181,plain,
( sum(pred(sum(n1,n4)),sum(n3,pred(sum(n1,n3)))) = esk3_0
| esk2_0 = n1
| esk2_0 = n2 ),
inference(spm,[status(thm)],[1085,1171,theory(equality)]) ).
cnf(1182,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)],[1181,178,theory(equality)]),199,theory(equality)]),179,theory(equality)]),200,theory(equality)]),157,theory(equality)]),143,theory(equality)]) ).
cnf(1183,plain,
( esk2_0 = n1
| esk2_0 = n2 ),
inference(sr,[status(thm)],[1182,59,theory(equality)]) ).
cnf(1185,plain,
( sum(pred(sum(esk1_0,succ(n2))),sum(n2,pred(sum(esk1_0,n2)))) = esk3_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[70,1183,theory(equality)]) ).
cnf(1186,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
| esk2_0 = n1 ),
inference(spm,[status(thm)],[236,1183,theory(equality)]) ).
cnf(1187,plain,
( sum(pred(sum(esk1_0,n3)),sum(n2,pred(sum(esk1_0,n2)))) = esk3_0
| esk2_0 = n1 ),
inference(rw,[status(thm)],[1185,213,theory(equality)]) ).
cnf(1188,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
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)],[1186,213,theory(equality)]),190,theory(equality)]),201,theory(equality)]),191,theory(equality)]),202,theory(equality)]),170,theory(equality)]),168,theory(equality)]) ).
cnf(1189,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(sr,[status(thm)],[1188,64,theory(equality)]) ).
cnf(1201,plain,
( sum(pred(sum(n10,n3)),sum(n2,pred(sum(n10,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1187,1189,theory(equality)]) ).
cnf(1204,plain,
( n3 = esk3_0
| esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1201,80,theory(equality)]),202,theory(equality)]),81,theory(equality)]),203,theory(equality)]),171,theory(equality)]),180,theory(equality)]) ).
cnf(1205,plain,
( esk2_0 = n1
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1204,66,theory(equality)]) ).
cnf(1215,plain,
( sum(pred(sum(n9,n3)),sum(n2,pred(sum(n9,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 ),
inference(spm,[status(thm)],[1187,1205,theory(equality)]) ).
cnf(1216,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 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1215,91,theory(equality)]),203,theory(equality)]),92,theory(equality)]),204,theory(equality)]),161,theory(equality)]),192,theory(equality)]) ).
cnf(1217,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 ),
inference(sr,[status(thm)],[1216,68,theory(equality)]) ).
cnf(1226,plain,
( sum(pred(sum(n8,n3)),sum(n2,pred(sum(n8,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1187,1217,theory(equality)]) ).
cnf(1227,plain,
( n10 = esk3_0
| esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1226,102,theory(equality)]),204,theory(equality)]),103,theory(equality)]),194,theory(equality)]),162,theory(equality)]),83,theory(equality)]) ).
cnf(1228,plain,
( esk2_0 = n1
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1227,59,theory(equality)]) ).
cnf(1236,plain,
( sum(pred(sum(n7,n3)),sum(n2,pred(sum(n7,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[1187,1228,theory(equality)]) ).
cnf(1237,plain,
( n8 = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1236,113,theory(equality)]),194,theory(equality)]),114,theory(equality)]),195,theory(equality)]),163,theory(equality)]),84,theory(equality)]) ).
cnf(1238,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(sr,[status(thm)],[1237,61,theory(equality)]) ).
cnf(1245,plain,
( sum(pred(sum(n6,n3)),sum(n2,pred(sum(n6,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1187,1238,theory(equality)]) ).
cnf(1246,plain,
( n6 = esk3_0
| esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1245,124,theory(equality)]),195,theory(equality)]),125,theory(equality)]),196,theory(equality)]),164,theory(equality)]),96,theory(equality)]) ).
cnf(1247,plain,
( esk2_0 = n1
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1246,63,theory(equality)]) ).
cnf(1253,plain,
( sum(pred(sum(n5,n3)),sum(n2,pred(sum(n5,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[1187,1247,theory(equality)]) ).
cnf(1254,plain,
( n4 = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1253,135,theory(equality)]),196,theory(equality)]),136,theory(equality)]),197,theory(equality)]),165,theory(equality)]),108,theory(equality)]) ).
cnf(1255,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(sr,[status(thm)],[1254,65,theory(equality)]) ).
cnf(1260,plain,
( sum(pred(sum(n4,n3)),sum(n2,pred(sum(n4,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1187,1255,theory(equality)]) ).
cnf(1261,plain,
( n2 = esk3_0
| esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1260,146,theory(equality)]),197,theory(equality)]),147,theory(equality)]),198,theory(equality)]),166,theory(equality)]),120,theory(equality)]) ).
cnf(1262,plain,
( esk2_0 = n1
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1261,67,theory(equality)]) ).
cnf(1266,plain,
( sum(pred(sum(n3,n3)),sum(n2,pred(sum(n3,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[1187,1262,theory(equality)]) ).
cnf(1267,plain,
( n0 = esk3_0
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1266,157,theory(equality)]),198,theory(equality)]),158,theory(equality)]),199,theory(equality)]),167,theory(equality)]),132,theory(equality)]) ).
cnf(1268,plain,
( esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2 ),
inference(sr,[status(thm)],[1267,69,theory(equality)]) ).
cnf(1271,plain,
( sum(pred(sum(n2,n3)),sum(n2,pred(sum(n2,n2)))) = esk3_0
| esk2_0 = n1
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1187,1268,theory(equality)]) ).
cnf(1272,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)],[1271,168,theory(equality)]),199,theory(equality)]),169,theory(equality)]),200,theory(equality)]),168,theory(equality)]),144,theory(equality)]) ).
cnf(1273,plain,
( esk2_0 = n1
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1272,60,theory(equality)]) ).
cnf(1283,plain,
( sum(pred(sum(n1,n3)),sum(n2,pred(sum(n1,n2)))) = esk3_0
| esk2_0 = n1 ),
inference(spm,[status(thm)],[1187,1273,theory(equality)]) ).
cnf(1284,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)],[1283,179,theory(equality)]),200,theory(equality)]),180,theory(equality)]),201,theory(equality)]),169,theory(equality)]),156,theory(equality)]) ).
cnf(1285,plain,
esk2_0 = n1,
inference(sr,[status(thm)],[1284,62,theory(equality)]) ).
cnf(1286,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)],[70,1285,theory(equality)]),214,theory(equality)]),1285,theory(equality)]),1285,theory(equality)]) ).
cnf(1291,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 ),
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)],[236,1285,theory(equality)]),214,theory(equality)]),191,theory(equality)]),202,theory(equality)]),1285,theory(equality)]),1285,theory(equality)]),192,theory(equality)]),203,theory(equality)]),182,theory(equality)]) ).
cnf(1292,plain,
( n2 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[1291,181,theory(equality)]) ).
cnf(1293,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(sr,[status(thm)],[1292,67,theory(equality)]) ).
cnf(1303,plain,
( sum(pred(sum(n10,n2)),sum(n1,pred(sum(n10,n1)))) = esk3_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1286,1293,theory(equality)]) ).
cnf(1304,plain,
( n0 = esk3_0
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1303,81,theory(equality)]),203,theory(equality)]),82,theory(equality)]),204,theory(equality)]),172,theory(equality)]),193,theory(equality)]) ).
cnf(1305,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1304,69,theory(equality)]) ).
cnf(1314,plain,
( sum(pred(sum(n9,n2)),sum(n1,pred(sum(n9,n1)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(spm,[status(thm)],[1286,1305,theory(equality)]) ).
cnf(1315,plain,
( n9 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1314,92,theory(equality)]),204,theory(equality)]),93,theory(equality)]),194,theory(equality)]),173,theory(equality)]),73,theory(equality)]) ).
cnf(1316,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(sr,[status(thm)],[1315,60,theory(equality)]) ).
cnf(1324,plain,
( sum(pred(sum(n8,n2)),sum(n1,pred(sum(n8,n1)))) = esk3_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1286,1316,theory(equality)]) ).
cnf(1325,plain,
( n7 = esk3_0
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1324,103,theory(equality)]),194,theory(equality)]),104,theory(equality)]),195,theory(equality)]),174,theory(equality)]),85,theory(equality)]) ).
cnf(1326,plain,
( 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)],[1325,62,theory(equality)]) ).
cnf(1333,plain,
( sum(pred(sum(n7,n2)),sum(n1,pred(sum(n7,n1)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(spm,[status(thm)],[1286,1326,theory(equality)]) ).
cnf(1334,plain,
( n5 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1333,114,theory(equality)]),195,theory(equality)]),115,theory(equality)]),196,theory(equality)]),175,theory(equality)]),97,theory(equality)]) ).
cnf(1335,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(sr,[status(thm)],[1334,64,theory(equality)]) ).
cnf(1341,plain,
( sum(pred(sum(n6,n2)),sum(n1,pred(sum(n6,n1)))) = esk3_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1286,1335,theory(equality)]) ).
cnf(1342,plain,
( n3 = esk3_0
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1341,125,theory(equality)]),196,theory(equality)]),126,theory(equality)]),197,theory(equality)]),176,theory(equality)]),109,theory(equality)]) ).
cnf(1343,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1342,66,theory(equality)]) ).
cnf(1348,plain,
( sum(pred(sum(n5,n2)),sum(n1,pred(sum(n5,n1)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(spm,[status(thm)],[1286,1343,theory(equality)]) ).
cnf(1349,plain,
( n1 = esk3_0
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1348,136,theory(equality)]),197,theory(equality)]),137,theory(equality)]),198,theory(equality)]),177,theory(equality)]),121,theory(equality)]) ).
cnf(1350,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(sr,[status(thm)],[1349,68,theory(equality)]) ).
cnf(1354,plain,
( sum(pred(sum(n4,n2)),sum(n1,pred(sum(n4,n1)))) = esk3_0
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1286,1350,theory(equality)]) ).
cnf(1355,plain,
( n10 = esk3_0
| 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)],[1354,147,theory(equality)]),198,theory(equality)]),148,theory(equality)]),199,theory(equality)]),178,theory(equality)]),133,theory(equality)]) ).
cnf(1356,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(sr,[status(thm)],[1355,59,theory(equality)]) ).
cnf(1359,plain,
( sum(pred(sum(n3,n2)),sum(n1,pred(sum(n3,n1)))) = esk3_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(spm,[status(thm)],[1286,1356,theory(equality)]) ).
cnf(1360,plain,
( n8 = esk3_0
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1359,158,theory(equality)]),199,theory(equality)]),159,theory(equality)]),200,theory(equality)]),179,theory(equality)]),145,theory(equality)]) ).
cnf(1361,plain,
( esk1_0 = n1
| esk1_0 = n2 ),
inference(sr,[status(thm)],[1360,61,theory(equality)]) ).
cnf(1363,plain,
( sum(pred(sum(n2,n2)),sum(n1,pred(sum(n2,n1)))) = esk3_0
| esk1_0 = n1 ),
inference(spm,[status(thm)],[1286,1361,theory(equality)]) ).
cnf(1364,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)],[1363,169,theory(equality)]),200,theory(equality)]),170,theory(equality)]),201,theory(equality)]),180,theory(equality)]),157,theory(equality)]) ).
cnf(1365,plain,
esk1_0 = n1,
inference(sr,[status(thm)],[1364,63,theory(equality)]) ).
cnf(1366,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)],[1286,1365,theory(equality)]),180,theory(equality)]),201,theory(equality)]),1365,theory(equality)]),181,theory(equality)]),202,theory(equality)]),181,theory(equality)]) ).
cnf(1367,plain,
n4 = esk3_0,
inference(rw,[status(thm)],[1366,169,theory(equality)]) ).
cnf(1368,plain,
$false,
inference(sr,[status(thm)],[1367,65,theory(equality)]) ).
cnf(1369,plain,
$false,
1368,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM375+1.010 : TPTP v7.0.0. Released v3.2.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n105.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 02:07:14 CST 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 0.07/0.41 -running prover on /export/starexec/sandbox/tmp/tmpMgqh4J/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.41 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpMgqh4J/sel_theBenchmark.p_1']
% 0.07/0.41 -prover status Unsatisfiable
% 0.07/0.41 Problem theBenchmark.p solved in phase 0.
% 0.07/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.41 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.41 Solved 1 out of 1.
% 0.07/0.41 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.41 # SZS status Unsatisfiable
% 0.07/0.41 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.42 # SZS output end CNFRefutation
%------------------------------------------------------------------------------