TSTP Solution File: NUM376+1.010 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM376+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 : n109.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:02:18 EST 2018
% Result : Unsatisfiable 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : None (Could not find formula named th)
% Syntax : Number of formulae : 667
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
? [X1,X2] :
( equal(succ(n0),n1)
& equal(succ(n1),n2)
& equal(succ(n2),n3)
& equal(succ(n3),n4)
& equal(succ(n4),n5)
& equal(succ(n5),n6)
& equal(succ(n6),n7)
& equal(succ(n7),n8)
& equal(succ(n8),n9)
& equal(succ(n9),n10)
& equal(succ(n10),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(sum(sum(pred(X1),succ(X2)),sum(pred(X2),succ(X1))),sum(sum(pred(X1),succ(X1)),sum(pred(X2),succ(X2))))
& ~ equal(n0,n1)
& ~ equal(n0,n2)
& ~ equal(n0,n3)
& ~ equal(n0,n4)
& ~ equal(n0,n5)
& ~ equal(n0,n6)
& ~ equal(n0,n7)
& ~ equal(n0,n8)
& ~ equal(n0,n9)
& ~ equal(n0,n10)
& ~ equal(n1,n2)
& ~ equal(n1,n3)
& ~ equal(n1,n4)
& ~ equal(n1,n5)
& ~ equal(n1,n6)
& ~ equal(n1,n7)
& ~ equal(n1,n8)
& ~ equal(n1,n9)
& ~ equal(n1,n10)
& ~ equal(n2,n3)
& ~ equal(n2,n4)
& ~ equal(n2,n5)
& ~ equal(n2,n6)
& ~ equal(n2,n7)
& ~ equal(n2,n8)
& ~ equal(n2,n9)
& ~ equal(n2,n10)
& ~ equal(n3,n4)
& ~ equal(n3,n5)
& ~ equal(n3,n6)
& ~ equal(n3,n7)
& ~ equal(n3,n8)
& ~ equal(n3,n9)
& ~ equal(n3,n10)
& ~ equal(n4,n5)
& ~ equal(n4,n6)
& ~ equal(n4,n7)
& ~ equal(n4,n8)
& ~ equal(n4,n9)
& ~ equal(n4,n10)
& ~ equal(n5,n6)
& ~ equal(n5,n7)
& ~ equal(n5,n8)
& ~ equal(n5,n9)
& ~ equal(n5,n10)
& ~ equal(n6,n7)
& ~ equal(n6,n8)
& ~ equal(n6,n9)
& ~ equal(n6,n10)
& ~ equal(n7,n8)
& ~ equal(n7,n9)
& ~ equal(n7,n10)
& ~ equal(n8,n9)
& ~ equal(n8,n10)
& ~ equal(n9,n10) ),
file('/export/starexec/sandbox2/tmp/tmpAsOWXY/sel_theBenchmark.p_1',try_satisfy_this) ).
fof(2,plain,
? [X3,X4] :
( equal(succ(n0),n1)
& equal(succ(n1),n2)
& equal(succ(n2),n3)
& equal(succ(n3),n4)
& equal(succ(n4),n5)
& equal(succ(n5),n6)
& equal(succ(n6),n7)
& equal(succ(n7),n8)
& equal(succ(n8),n9)
& equal(succ(n9),n10)
& equal(succ(n10),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(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(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(sum(sum(pred(X3),succ(X4)),sum(pred(X4),succ(X3))),sum(sum(pred(X3),succ(X3)),sum(pred(X4),succ(X4))))
& ~ equal(n0,n1)
& ~ equal(n0,n2)
& ~ equal(n0,n3)
& ~ equal(n0,n4)
& ~ equal(n0,n5)
& ~ equal(n0,n6)
& ~ equal(n0,n7)
& ~ equal(n0,n8)
& ~ equal(n0,n9)
& ~ equal(n0,n10)
& ~ equal(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(sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))),sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))))
& ~ equal(n0,n1)
& ~ equal(n0,n2)
& ~ equal(n0,n3)
& ~ equal(n0,n4)
& ~ equal(n0,n5)
& ~ equal(n0,n6)
& ~ equal(n0,n7)
& ~ equal(n0,n8)
& ~ equal(n0,n9)
& ~ equal(n0,n10)
& ~ equal(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,
sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(60,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(61,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(62,plain,
sum(n10,n10) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(63,plain,
sum(n10,n9) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(64,plain,
sum(n10,n8) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(65,plain,
sum(n10,n7) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(66,plain,
sum(n10,n6) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(67,plain,
sum(n10,n5) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(68,plain,
sum(n10,n4) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(69,plain,
sum(n10,n3) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(70,plain,
sum(n10,n2) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(71,plain,
sum(n10,n1) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(72,plain,
sum(n10,n0) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(73,plain,
sum(n9,n10) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(74,plain,
sum(n9,n9) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(75,plain,
sum(n9,n8) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(76,plain,
sum(n9,n7) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(77,plain,
sum(n9,n6) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(78,plain,
sum(n9,n5) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(79,plain,
sum(n9,n4) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(80,plain,
sum(n9,n3) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(81,plain,
sum(n9,n2) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(82,plain,
sum(n9,n1) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(83,plain,
sum(n9,n0) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(84,plain,
sum(n8,n10) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(85,plain,
sum(n8,n9) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(86,plain,
sum(n8,n8) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(87,plain,
sum(n8,n7) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(88,plain,
sum(n8,n6) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(89,plain,
sum(n8,n5) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(90,plain,
sum(n8,n4) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(91,plain,
sum(n8,n3) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(92,plain,
sum(n8,n2) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(93,plain,
sum(n8,n1) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(94,plain,
sum(n8,n0) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(95,plain,
sum(n7,n10) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(96,plain,
sum(n7,n9) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(97,plain,
sum(n7,n8) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(98,plain,
sum(n7,n7) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(99,plain,
sum(n7,n6) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(100,plain,
sum(n7,n5) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(101,plain,
sum(n7,n4) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(102,plain,
sum(n7,n3) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(103,plain,
sum(n7,n2) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(104,plain,
sum(n7,n1) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(105,plain,
sum(n7,n0) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(106,plain,
sum(n6,n10) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(107,plain,
sum(n6,n9) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(108,plain,
sum(n6,n8) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(109,plain,
sum(n6,n7) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(110,plain,
sum(n6,n6) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(111,plain,
sum(n6,n5) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(112,plain,
sum(n6,n4) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(113,plain,
sum(n6,n3) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(114,plain,
sum(n6,n2) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(115,plain,
sum(n6,n1) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(116,plain,
sum(n6,n0) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(117,plain,
sum(n5,n10) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(118,plain,
sum(n5,n9) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(119,plain,
sum(n5,n8) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(120,plain,
sum(n5,n7) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(121,plain,
sum(n5,n6) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(122,plain,
sum(n5,n5) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(123,plain,
sum(n5,n4) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(124,plain,
sum(n5,n3) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(125,plain,
sum(n5,n2) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(126,plain,
sum(n5,n1) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(127,plain,
sum(n5,n0) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(128,plain,
sum(n4,n10) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(129,plain,
sum(n4,n9) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(130,plain,
sum(n4,n8) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(131,plain,
sum(n4,n7) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(132,plain,
sum(n4,n6) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(133,plain,
sum(n4,n5) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(134,plain,
sum(n4,n4) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(135,plain,
sum(n4,n3) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(136,plain,
sum(n4,n2) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(137,plain,
sum(n4,n1) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(138,plain,
sum(n4,n0) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(139,plain,
sum(n3,n10) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(140,plain,
sum(n3,n9) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(141,plain,
sum(n3,n8) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(142,plain,
sum(n3,n7) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(143,plain,
sum(n3,n6) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(144,plain,
sum(n3,n5) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(145,plain,
sum(n3,n4) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(146,plain,
sum(n3,n3) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(147,plain,
sum(n3,n2) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(148,plain,
sum(n3,n1) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(149,plain,
sum(n3,n0) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(150,plain,
sum(n2,n10) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(151,plain,
sum(n2,n9) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(152,plain,
sum(n2,n8) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(153,plain,
sum(n2,n7) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(154,plain,
sum(n2,n6) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(155,plain,
sum(n2,n5) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(156,plain,
sum(n2,n4) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(157,plain,
sum(n2,n3) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(158,plain,
sum(n2,n2) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(159,plain,
sum(n2,n1) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(160,plain,
sum(n2,n0) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(161,plain,
sum(n1,n10) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(162,plain,
sum(n1,n9) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(163,plain,
sum(n1,n8) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(164,plain,
sum(n1,n7) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(165,plain,
sum(n1,n6) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(166,plain,
sum(n1,n5) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(167,plain,
sum(n1,n4) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(168,plain,
sum(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(169,plain,
sum(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(170,plain,
sum(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(171,plain,
sum(n1,n0) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(172,plain,
sum(n0,n10) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(173,plain,
sum(n0,n9) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(174,plain,
sum(n0,n8) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(175,plain,
sum(n0,n7) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(176,plain,
sum(n0,n6) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(177,plain,
sum(n0,n5) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(178,plain,
sum(n0,n4) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(179,plain,
sum(n0,n3) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(180,plain,
sum(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(181,plain,
sum(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(182,plain,
sum(n0,n0) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(183,plain,
pred(n10) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(184,plain,
pred(n9) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(185,plain,
pred(n8) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(186,plain,
pred(n7) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(187,plain,
pred(n6) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(188,plain,
pred(n5) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(189,plain,
pred(n4) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(190,plain,
pred(n3) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(191,plain,
pred(n2) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(192,plain,
pred(n1) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(193,plain,
pred(n0) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(194,plain,
succ(n10) = n0,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(195,plain,
succ(n9) = n10,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(196,plain,
succ(n8) = n9,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(197,plain,
succ(n7) = n8,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(198,plain,
succ(n6) = n7,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(199,plain,
succ(n5) = n6,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(200,plain,
succ(n4) = n5,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(201,plain,
succ(n3) = n4,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(202,plain,
succ(n2) = n3,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(203,plain,
succ(n1) = n2,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(204,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(225,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n0),succ(esk2_0)),sum(pred(esk2_0),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[59,61,theory(equality)]) ).
cnf(226,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(pred(esk1_0),succ(n0)),sum(pred(n0),succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(n0),succ(n0))) ),
inference(spm,[status(thm)],[59,60,theory(equality)]) ).
cnf(227,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n10,succ(esk2_0)),sum(pred(esk2_0),n1)) != sum(sum(pred(n0),succ(n0)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[225,193,theory(equality)]),204,theory(equality)]) ).
cnf(228,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n10,succ(esk2_0)),sum(pred(esk2_0),n1)) != sum(n0,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[227,193,theory(equality)]),204,theory(equality)]),71,theory(equality)]) ).
cnf(229,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(pred(esk1_0),n1),sum(n10,succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(n0),succ(n0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[226,204,theory(equality)]),193,theory(equality)]) ).
cnf(230,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(pred(esk1_0),n1),sum(n10,succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[229,193,theory(equality)]),204,theory(equality)]),71,theory(equality)]) ).
cnf(231,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n10,succ(n0)),sum(pred(n0),n1)) != sum(n0,sum(pred(n0),succ(n0))) ),
inference(spm,[status(thm)],[228,60,theory(equality)]) ).
cnf(232,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != sum(n0,sum(pred(n0),succ(n0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[231,204,theory(equality)]),71,theory(equality)]),193,theory(equality)]),71,theory(equality)]),182,theory(equality)]) ).
cnf(233,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[232,193,theory(equality)]),204,theory(equality)]),71,theory(equality)]),182,theory(equality)]) ).
cnf(234,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[233,theory(equality)]) ).
cnf(245,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| sum(sum(n10,succ(n10)),sum(pred(n10),n1)) != sum(n0,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[228,234,theory(equality)]) ).
cnf(248,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| n9 != sum(n0,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[245,194,theory(equality)]),72,theory(equality)]),183,theory(equality)]),82,theory(equality)]),62,theory(equality)]) ).
cnf(249,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[248,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),173,theory(equality)]) ).
cnf(250,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(cn,[status(thm)],[249,theory(equality)]) ).
cnf(260,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n10,succ(n9)),sum(pred(n9),n1)) != sum(n0,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[228,250,theory(equality)]) ).
cnf(263,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n7 != sum(n0,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[260,195,theory(equality)]),62,theory(equality)]),184,theory(equality)]),93,theory(equality)]),74,theory(equality)]) ).
cnf(264,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[263,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),175,theory(equality)]) ).
cnf(265,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[264,theory(equality)]) ).
cnf(274,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| sum(sum(n10,succ(n8)),sum(pred(n8),n1)) != sum(n0,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[228,265,theory(equality)]) ).
cnf(277,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| n5 != sum(n0,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[274,196,theory(equality)]),63,theory(equality)]),185,theory(equality)]),104,theory(equality)]),86,theory(equality)]) ).
cnf(278,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[277,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),177,theory(equality)]) ).
cnf(279,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[278,theory(equality)]) ).
cnf(287,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n10,succ(n7)),sum(pred(n7),n1)) != sum(n0,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[228,279,theory(equality)]) ).
cnf(290,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n3 != sum(n0,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[287,197,theory(equality)]),64,theory(equality)]),186,theory(equality)]),115,theory(equality)]),98,theory(equality)]) ).
cnf(291,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[290,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),179,theory(equality)]) ).
cnf(292,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[291,theory(equality)]) ).
cnf(299,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| sum(sum(n10,succ(n6)),sum(pred(n6),n1)) != sum(n0,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[228,292,theory(equality)]) ).
cnf(302,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| n1 != sum(n0,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[299,198,theory(equality)]),65,theory(equality)]),187,theory(equality)]),126,theory(equality)]),110,theory(equality)]) ).
cnf(303,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[302,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),181,theory(equality)]) ).
cnf(304,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[303,theory(equality)]) ).
cnf(310,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n10,succ(n5)),sum(pred(n5),n1)) != sum(n0,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[228,304,theory(equality)]) ).
cnf(313,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != sum(n0,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[310,199,theory(equality)]),66,theory(equality)]),188,theory(equality)]),137,theory(equality)]),122,theory(equality)]) ).
cnf(314,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[313,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),172,theory(equality)]) ).
cnf(315,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[314,theory(equality)]) ).
cnf(320,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| sum(sum(n10,succ(n4)),sum(pred(n4),n1)) != sum(n0,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[228,315,theory(equality)]) ).
cnf(323,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| n8 != sum(n0,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[320,200,theory(equality)]),67,theory(equality)]),189,theory(equality)]),148,theory(equality)]),134,theory(equality)]) ).
cnf(324,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[323,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),174,theory(equality)]) ).
cnf(325,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[324,theory(equality)]) ).
cnf(329,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n10,succ(n3)),sum(pred(n3),n1)) != sum(n0,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[228,325,theory(equality)]) ).
cnf(332,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| n6 != sum(n0,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[329,201,theory(equality)]),68,theory(equality)]),190,theory(equality)]),159,theory(equality)]),146,theory(equality)]) ).
cnf(333,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[332,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),176,theory(equality)]) ).
cnf(334,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[333,theory(equality)]) ).
cnf(337,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| sum(sum(n10,succ(n2)),sum(pred(n2),n1)) != sum(n0,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[228,334,theory(equality)]) ).
cnf(340,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| n4 != sum(n0,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[337,202,theory(equality)]),69,theory(equality)]),191,theory(equality)]),170,theory(equality)]),158,theory(equality)]) ).
cnf(341,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[340,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),178,theory(equality)]) ).
cnf(342,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| esk2_0 = n1 ),
inference(cn,[status(thm)],[341,theory(equality)]) ).
cnf(344,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| sum(sum(n10,succ(n1)),sum(pred(n1),n1)) != sum(n0,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[228,342,theory(equality)]) ).
cnf(347,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| n2 != sum(n0,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[344,203,theory(equality)]),70,theory(equality)]),192,theory(equality)]),181,theory(equality)]),170,theory(equality)]) ).
cnf(348,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[347,192,theory(equality)]),203,theory(equality)]),180,theory(equality)]),180,theory(equality)]) ).
cnf(349,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(cn,[status(thm)],[348,theory(equality)]) ).
cnf(359,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n10),succ(esk2_0)),sum(pred(esk2_0),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[59,349,theory(equality)]) ).
cnf(360,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n9,succ(esk2_0)),sum(pred(esk2_0),n0)) != sum(sum(pred(n10),succ(n10)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[359,183,theory(equality)]),194,theory(equality)]) ).
cnf(361,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n9,succ(esk2_0)),sum(pred(esk2_0),n0)) != sum(n9,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[360,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]) ).
cnf(362,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n10),n1),sum(n10,succ(n10))) != sum(sum(pred(n10),succ(n10)),n0) ),
inference(spm,[status(thm)],[230,349,theory(equality)]) ).
cnf(363,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n9 != sum(sum(pred(n10),succ(n10)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[362,183,theory(equality)]),82,theory(equality)]),194,theory(equality)]),72,theory(equality)]),62,theory(equality)]) ).
cnf(364,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[363,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),83,theory(equality)]) ).
cnf(365,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[364,theory(equality)]) ).
cnf(379,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n9,succ(n10)),sum(pred(n10),n0)) != sum(n9,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[361,365,theory(equality)]) ).
cnf(383,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n7 != sum(n9,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[379,194,theory(equality)]),83,theory(equality)]),183,theory(equality)]),83,theory(equality)]),74,theory(equality)]) ).
cnf(384,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[383,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),74,theory(equality)]) ).
cnf(385,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[384,theory(equality)]) ).
cnf(395,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| sum(sum(n9,succ(n9)),sum(pred(n9),n0)) != sum(n9,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[361,385,theory(equality)]) ).
cnf(398,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n5 != sum(n9,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[395,195,theory(equality)]),73,theory(equality)]),184,theory(equality)]),94,theory(equality)]),86,theory(equality)]) ).
cnf(399,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[398,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),76,theory(equality)]) ).
cnf(400,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[399,theory(equality)]) ).
cnf(409,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n9,succ(n8)),sum(pred(n8),n0)) != sum(n9,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[361,400,theory(equality)]) ).
cnf(412,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n3 != sum(n9,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[409,196,theory(equality)]),74,theory(equality)]),185,theory(equality)]),105,theory(equality)]),98,theory(equality)]) ).
cnf(413,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[412,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),78,theory(equality)]) ).
cnf(414,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[413,theory(equality)]) ).
cnf(422,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| sum(sum(n9,succ(n7)),sum(pred(n7),n0)) != sum(n9,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[361,414,theory(equality)]) ).
cnf(425,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n1 != sum(n9,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[422,197,theory(equality)]),75,theory(equality)]),186,theory(equality)]),116,theory(equality)]),110,theory(equality)]) ).
cnf(426,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[425,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),80,theory(equality)]) ).
cnf(427,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[426,theory(equality)]) ).
cnf(434,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n9,succ(n6)),sum(pred(n6),n0)) != sum(n9,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[361,427,theory(equality)]) ).
cnf(437,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != sum(n9,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[434,198,theory(equality)]),76,theory(equality)]),187,theory(equality)]),127,theory(equality)]),122,theory(equality)]) ).
cnf(438,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[437,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),82,theory(equality)]) ).
cnf(439,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[438,theory(equality)]) ).
cnf(445,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| sum(sum(n9,succ(n5)),sum(pred(n5),n0)) != sum(n9,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[361,439,theory(equality)]) ).
cnf(448,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n8 != sum(n9,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[445,199,theory(equality)]),77,theory(equality)]),188,theory(equality)]),138,theory(equality)]),134,theory(equality)]) ).
cnf(449,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[448,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),73,theory(equality)]) ).
cnf(450,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[449,theory(equality)]) ).
cnf(455,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n9,succ(n4)),sum(pred(n4),n0)) != sum(n9,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[361,450,theory(equality)]) ).
cnf(458,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != sum(n9,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[455,200,theory(equality)]),78,theory(equality)]),189,theory(equality)]),149,theory(equality)]),146,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
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[458,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),75,theory(equality)]) ).
cnf(460,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[459,theory(equality)]) ).
cnf(464,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| sum(sum(n9,succ(n3)),sum(pred(n3),n0)) != sum(n9,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[361,460,theory(equality)]) ).
cnf(467,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| n4 != sum(n9,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[464,201,theory(equality)]),79,theory(equality)]),190,theory(equality)]),160,theory(equality)]),158,theory(equality)]) ).
cnf(468,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[467,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),77,theory(equality)]) ).
cnf(469,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[468,theory(equality)]) ).
cnf(472,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| sum(sum(n9,succ(n2)),sum(pred(n2),n0)) != sum(n9,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[361,469,theory(equality)]) ).
cnf(475,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| n2 != sum(n9,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[472,202,theory(equality)]),80,theory(equality)]),191,theory(equality)]),171,theory(equality)]),170,theory(equality)]) ).
cnf(476,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[475,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),79,theory(equality)]) ).
cnf(477,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk2_0 = n1 ),
inference(cn,[status(thm)],[476,theory(equality)]) ).
cnf(487,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| sum(sum(n9,succ(n1)),sum(pred(n1),n0)) != sum(n9,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[361,477,theory(equality)]) ).
cnf(490,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| n0 != sum(n9,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[487,203,theory(equality)]),81,theory(equality)]),192,theory(equality)]),182,theory(equality)]),182,theory(equality)]) ).
cnf(491,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[490,192,theory(equality)]),203,theory(equality)]),180,theory(equality)]),81,theory(equality)]) ).
cnf(492,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(cn,[status(thm)],[491,theory(equality)]) ).
cnf(501,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n9),succ(esk2_0)),sum(pred(esk2_0),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[59,492,theory(equality)]) ).
cnf(502,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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
| sum(sum(pred(n9),n1),sum(n10,succ(n9))) != sum(sum(pred(n9),succ(n9)),n0) ),
inference(spm,[status(thm)],[230,492,theory(equality)]) ).
cnf(503,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n8,succ(esk2_0)),sum(pred(esk2_0),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[501,184,theory(equality)]),195,theory(equality)]) ).
cnf(504,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n8,succ(esk2_0)),sum(pred(esk2_0),n10)) != sum(n7,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[503,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]) ).
cnf(505,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n7 != sum(sum(pred(n9),succ(n9)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[502,184,theory(equality)]),93,theory(equality)]),195,theory(equality)]),62,theory(equality)]),74,theory(equality)]) ).
cnf(506,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[505,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),105,theory(equality)]) ).
cnf(507,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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(cn,[status(thm)],[506,theory(equality)]) ).
cnf(521,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n8,succ(n10)),sum(pred(n10),n10)) != sum(n7,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[504,507,theory(equality)]) ).
cnf(525,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n5 != sum(n7,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[521,194,theory(equality)]),94,theory(equality)]),183,theory(equality)]),73,theory(equality)]),86,theory(equality)]) ).
cnf(526,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[525,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),96,theory(equality)]) ).
cnf(527,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[526,theory(equality)]) ).
cnf(537,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| sum(sum(n8,succ(n9)),sum(pred(n9),n10)) != sum(n7,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[504,527,theory(equality)]) ).
cnf(540,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n3 != sum(n7,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[537,195,theory(equality)]),84,theory(equality)]),184,theory(equality)]),84,theory(equality)]),98,theory(equality)]) ).
cnf(541,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[540,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),98,theory(equality)]) ).
cnf(542,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[541,theory(equality)]) ).
cnf(551,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n8,succ(n8)),sum(pred(n8),n10)) != sum(n7,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[504,542,theory(equality)]) ).
cnf(554,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n1 != sum(n7,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[551,196,theory(equality)]),85,theory(equality)]),185,theory(equality)]),95,theory(equality)]),110,theory(equality)]) ).
cnf(555,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[554,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),100,theory(equality)]) ).
cnf(556,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[555,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
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| sum(sum(n8,succ(n7)),sum(pred(n7),n10)) != sum(n7,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[504,556,theory(equality)]) ).
cnf(567,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n10 != sum(n7,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[564,197,theory(equality)]),86,theory(equality)]),186,theory(equality)]),106,theory(equality)]),122,theory(equality)]) ).
cnf(568,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[567,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),102,theory(equality)]) ).
cnf(569,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[568,theory(equality)]) ).
cnf(576,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n8,succ(n6)),sum(pred(n6),n10)) != sum(n7,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[504,569,theory(equality)]) ).
cnf(579,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n8 != sum(n7,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[576,198,theory(equality)]),87,theory(equality)]),187,theory(equality)]),117,theory(equality)]),134,theory(equality)]) ).
cnf(580,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[579,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),104,theory(equality)]) ).
cnf(581,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[580,theory(equality)]) ).
cnf(587,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| sum(sum(n8,succ(n5)),sum(pred(n5),n10)) != sum(n7,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[504,581,theory(equality)]) ).
cnf(590,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n6 != sum(n7,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[587,199,theory(equality)]),88,theory(equality)]),188,theory(equality)]),128,theory(equality)]),146,theory(equality)]) ).
cnf(591,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[590,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),95,theory(equality)]) ).
cnf(592,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[591,theory(equality)]) ).
cnf(597,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n8,succ(n4)),sum(pred(n4),n10)) != sum(n7,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[504,592,theory(equality)]) ).
cnf(600,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n4 != sum(n7,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[597,200,theory(equality)]),89,theory(equality)]),189,theory(equality)]),139,theory(equality)]),158,theory(equality)]) ).
cnf(601,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[600,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),97,theory(equality)]) ).
cnf(602,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[601,theory(equality)]) ).
cnf(606,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| sum(sum(n8,succ(n3)),sum(pred(n3),n10)) != sum(n7,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[504,602,theory(equality)]) ).
cnf(609,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| n2 != sum(n7,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[606,201,theory(equality)]),90,theory(equality)]),190,theory(equality)]),150,theory(equality)]),170,theory(equality)]) ).
cnf(610,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[609,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),99,theory(equality)]) ).
cnf(611,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[610,theory(equality)]) ).
cnf(614,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| sum(sum(n8,succ(n2)),sum(pred(n2),n10)) != sum(n7,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[504,611,theory(equality)]) ).
cnf(617,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| n0 != sum(n7,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[614,202,theory(equality)]),91,theory(equality)]),191,theory(equality)]),161,theory(equality)]),182,theory(equality)]) ).
cnf(618,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[617,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),101,theory(equality)]) ).
cnf(619,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk2_0 = n1 ),
inference(cn,[status(thm)],[618,theory(equality)]) ).
cnf(629,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| sum(sum(n8,succ(n1)),sum(pred(n1),n10)) != sum(n7,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[504,619,theory(equality)]) ).
cnf(632,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| n9 != sum(n7,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[629,203,theory(equality)]),92,theory(equality)]),192,theory(equality)]),172,theory(equality)]),62,theory(equality)]) ).
cnf(633,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[632,192,theory(equality)]),203,theory(equality)]),180,theory(equality)]),103,theory(equality)]) ).
cnf(634,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(cn,[status(thm)],[633,theory(equality)]) ).
cnf(642,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n8),succ(esk2_0)),sum(pred(esk2_0),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[59,634,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
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n8),n1),sum(n10,succ(n8))) != sum(sum(pred(n8),succ(n8)),n0) ),
inference(spm,[status(thm)],[230,634,theory(equality)]) ).
cnf(644,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n7,succ(esk2_0)),sum(pred(esk2_0),n9)) != sum(sum(pred(n8),succ(n8)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[642,185,theory(equality)]),196,theory(equality)]) ).
cnf(645,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n7,succ(esk2_0)),sum(pred(esk2_0),n9)) != sum(n5,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[644,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]) ).
cnf(646,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n5 != sum(sum(pred(n8),succ(n8)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[643,185,theory(equality)]),104,theory(equality)]),196,theory(equality)]),63,theory(equality)]),86,theory(equality)]) ).
cnf(647,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[646,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),127,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
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[647,theory(equality)]) ).
cnf(662,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n7,succ(n10)),sum(pred(n10),n9)) != sum(n5,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[645,648,theory(equality)]) ).
cnf(666,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n3 != sum(n5,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[662,194,theory(equality)]),105,theory(equality)]),183,theory(equality)]),74,theory(equality)]),98,theory(equality)]) ).
cnf(667,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[666,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),118,theory(equality)]) ).
cnf(668,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[667,theory(equality)]) ).
cnf(678,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| sum(sum(n7,succ(n9)),sum(pred(n9),n9)) != sum(n5,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[645,668,theory(equality)]) ).
cnf(681,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n1 != sum(n5,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[678,195,theory(equality)]),95,theory(equality)]),184,theory(equality)]),85,theory(equality)]),110,theory(equality)]) ).
cnf(682,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[681,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),120,theory(equality)]) ).
cnf(683,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[682,theory(equality)]) ).
cnf(692,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n7,succ(n8)),sum(pred(n8),n9)) != sum(n5,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[645,683,theory(equality)]) ).
cnf(695,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != sum(n5,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[692,196,theory(equality)]),96,theory(equality)]),185,theory(equality)]),96,theory(equality)]),122,theory(equality)]) ).
cnf(696,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[695,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),122,theory(equality)]) ).
cnf(697,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[696,theory(equality)]) ).
cnf(705,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| sum(sum(n7,succ(n7)),sum(pred(n7),n9)) != sum(n5,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[645,697,theory(equality)]) ).
cnf(708,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n8 != sum(n5,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[705,197,theory(equality)]),97,theory(equality)]),186,theory(equality)]),107,theory(equality)]),134,theory(equality)]) ).
cnf(709,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[708,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),124,theory(equality)]) ).
cnf(710,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[709,theory(equality)]) ).
cnf(717,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n7,succ(n6)),sum(pred(n6),n9)) != sum(n5,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[645,710,theory(equality)]) ).
cnf(720,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != sum(n5,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[717,198,theory(equality)]),98,theory(equality)]),187,theory(equality)]),118,theory(equality)]),146,theory(equality)]) ).
cnf(721,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[720,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),126,theory(equality)]) ).
cnf(722,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[721,theory(equality)]) ).
cnf(728,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| sum(sum(n7,succ(n5)),sum(pred(n5),n9)) != sum(n5,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[645,722,theory(equality)]) ).
cnf(731,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n4 != sum(n5,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[728,199,theory(equality)]),99,theory(equality)]),188,theory(equality)]),129,theory(equality)]),158,theory(equality)]) ).
cnf(732,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[731,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),117,theory(equality)]) ).
cnf(733,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[732,theory(equality)]) ).
cnf(738,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n7,succ(n4)),sum(pred(n4),n9)) != sum(n5,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[645,733,theory(equality)]) ).
cnf(741,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != sum(n5,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[738,200,theory(equality)]),100,theory(equality)]),189,theory(equality)]),140,theory(equality)]),170,theory(equality)]) ).
cnf(742,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[741,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),119,theory(equality)]) ).
cnf(743,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[742,theory(equality)]) ).
cnf(747,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| sum(sum(n7,succ(n3)),sum(pred(n3),n9)) != sum(n5,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[645,743,theory(equality)]) ).
cnf(750,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| n0 != sum(n5,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[747,201,theory(equality)]),101,theory(equality)]),190,theory(equality)]),151,theory(equality)]),182,theory(equality)]) ).
cnf(751,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[750,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),121,theory(equality)]) ).
cnf(752,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[751,theory(equality)]) ).
cnf(755,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| sum(sum(n7,succ(n2)),sum(pred(n2),n9)) != sum(n5,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[645,752,theory(equality)]) ).
cnf(758,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| n9 != sum(n5,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[755,202,theory(equality)]),102,theory(equality)]),191,theory(equality)]),162,theory(equality)]),62,theory(equality)]) ).
cnf(759,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[758,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),123,theory(equality)]) ).
cnf(760,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk2_0 = n1 ),
inference(cn,[status(thm)],[759,theory(equality)]) ).
cnf(770,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| sum(sum(n7,succ(n1)),sum(pred(n1),n9)) != sum(n5,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[645,760,theory(equality)]) ).
cnf(773,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| n7 != sum(n5,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[770,203,theory(equality)]),103,theory(equality)]),192,theory(equality)]),173,theory(equality)]),74,theory(equality)]) ).
cnf(774,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[773,192,theory(equality)]),203,theory(equality)]),180,theory(equality)]),125,theory(equality)]) ).
cnf(775,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(cn,[status(thm)],[774,theory(equality)]) ).
cnf(782,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n7),succ(esk2_0)),sum(pred(esk2_0),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[59,775,theory(equality)]) ).
cnf(783,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n7),n1),sum(n10,succ(n7))) != sum(sum(pred(n7),succ(n7)),n0) ),
inference(spm,[status(thm)],[230,775,theory(equality)]) ).
cnf(784,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n6,succ(esk2_0)),sum(pred(esk2_0),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[782,186,theory(equality)]),197,theory(equality)]) ).
cnf(785,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n6,succ(esk2_0)),sum(pred(esk2_0),n8)) != sum(n3,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[784,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]) ).
cnf(786,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n3 != sum(sum(pred(n7),succ(n7)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[783,186,theory(equality)]),115,theory(equality)]),197,theory(equality)]),64,theory(equality)]),98,theory(equality)]) ).
cnf(787,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[786,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),149,theory(equality)]) ).
cnf(788,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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(cn,[status(thm)],[787,theory(equality)]) ).
cnf(803,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n6,succ(n10)),sum(pred(n10),n8)) != sum(n3,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[785,788,theory(equality)]) ).
cnf(806,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n1 != sum(n3,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[803,194,theory(equality)]),116,theory(equality)]),183,theory(equality)]),75,theory(equality)]),110,theory(equality)]) ).
cnf(807,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[806,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),140,theory(equality)]) ).
cnf(808,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[807,theory(equality)]) ).
cnf(818,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| sum(sum(n6,succ(n9)),sum(pred(n9),n8)) != sum(n3,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[785,808,theory(equality)]) ).
cnf(821,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n10 != sum(n3,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[818,195,theory(equality)]),106,theory(equality)]),184,theory(equality)]),86,theory(equality)]),122,theory(equality)]) ).
cnf(822,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[821,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),142,theory(equality)]) ).
cnf(823,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[822,theory(equality)]) ).
cnf(832,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n6,succ(n8)),sum(pred(n8),n8)) != sum(n3,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[785,823,theory(equality)]) ).
cnf(835,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n8 != sum(n3,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[832,196,theory(equality)]),107,theory(equality)]),185,theory(equality)]),97,theory(equality)]),134,theory(equality)]) ).
cnf(836,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[835,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),144,theory(equality)]) ).
cnf(837,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[836,theory(equality)]) ).
cnf(845,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| sum(sum(n6,succ(n7)),sum(pred(n7),n8)) != sum(n3,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[785,837,theory(equality)]) ).
cnf(848,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n6 != sum(n3,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[845,197,theory(equality)]),108,theory(equality)]),186,theory(equality)]),108,theory(equality)]),146,theory(equality)]) ).
cnf(849,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[848,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),146,theory(equality)]) ).
cnf(850,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[849,theory(equality)]) ).
cnf(857,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n6,succ(n6)),sum(pred(n6),n8)) != sum(n3,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[785,850,theory(equality)]) ).
cnf(860,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n4 != sum(n3,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[857,198,theory(equality)]),109,theory(equality)]),187,theory(equality)]),119,theory(equality)]),158,theory(equality)]) ).
cnf(861,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[860,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),148,theory(equality)]) ).
cnf(862,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[861,theory(equality)]) ).
cnf(868,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| sum(sum(n6,succ(n5)),sum(pred(n5),n8)) != sum(n3,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[785,862,theory(equality)]) ).
cnf(871,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n2 != sum(n3,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[868,199,theory(equality)]),110,theory(equality)]),188,theory(equality)]),130,theory(equality)]),170,theory(equality)]) ).
cnf(872,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[871,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),139,theory(equality)]) ).
cnf(873,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[872,theory(equality)]) ).
cnf(878,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n6,succ(n4)),sum(pred(n4),n8)) != sum(n3,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[785,873,theory(equality)]) ).
cnf(881,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != sum(n3,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[878,200,theory(equality)]),111,theory(equality)]),189,theory(equality)]),141,theory(equality)]),182,theory(equality)]) ).
cnf(882,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[881,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),141,theory(equality)]) ).
cnf(883,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[882,theory(equality)]) ).
cnf(887,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| sum(sum(n6,succ(n3)),sum(pred(n3),n8)) != sum(n3,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[785,883,theory(equality)]) ).
cnf(890,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| n9 != sum(n3,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[887,201,theory(equality)]),112,theory(equality)]),190,theory(equality)]),152,theory(equality)]),62,theory(equality)]) ).
cnf(891,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[890,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),143,theory(equality)]) ).
cnf(892,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[891,theory(equality)]) ).
cnf(902,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| sum(sum(n6,succ(n2)),sum(pred(n2),n8)) != sum(n3,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[785,892,theory(equality)]) ).
cnf(905,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| n7 != sum(n3,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[902,202,theory(equality)]),113,theory(equality)]),191,theory(equality)]),163,theory(equality)]),74,theory(equality)]) ).
cnf(906,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[905,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),145,theory(equality)]) ).
cnf(907,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk2_0 = n1 ),
inference(cn,[status(thm)],[906,theory(equality)]) ).
cnf(909,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| sum(sum(n6,succ(n1)),sum(pred(n1),n8)) != sum(n3,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[785,907,theory(equality)]) ).
cnf(912,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| n5 != sum(n3,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[909,203,theory(equality)]),114,theory(equality)]),192,theory(equality)]),174,theory(equality)]),86,theory(equality)]) ).
cnf(913,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[912,192,theory(equality)]),203,theory(equality)]),180,theory(equality)]),147,theory(equality)]) ).
cnf(914,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(cn,[status(thm)],[913,theory(equality)]) ).
cnf(920,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n6),succ(esk2_0)),sum(pred(esk2_0),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[59,914,theory(equality)]) ).
cnf(921,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n6),n1),sum(n10,succ(n6))) != sum(sum(pred(n6),succ(n6)),n0) ),
inference(spm,[status(thm)],[230,914,theory(equality)]) ).
cnf(922,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n5,succ(esk2_0)),sum(pred(esk2_0),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[920,187,theory(equality)]),198,theory(equality)]) ).
cnf(923,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n5,succ(esk2_0)),sum(pred(esk2_0),n7)) != sum(n1,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[922,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]) ).
cnf(924,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n1 != sum(sum(pred(n6),succ(n6)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[921,187,theory(equality)]),126,theory(equality)]),198,theory(equality)]),65,theory(equality)]),110,theory(equality)]) ).
cnf(925,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[924,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),171,theory(equality)]) ).
cnf(926,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[925,theory(equality)]) ).
cnf(941,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n5,succ(n10)),sum(pred(n10),n7)) != sum(n1,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[923,926,theory(equality)]) ).
cnf(944,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != sum(n1,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[941,194,theory(equality)]),127,theory(equality)]),183,theory(equality)]),76,theory(equality)]),122,theory(equality)]) ).
cnf(945,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[944,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),162,theory(equality)]) ).
cnf(946,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[945,theory(equality)]) ).
cnf(956,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| sum(sum(n5,succ(n9)),sum(pred(n9),n7)) != sum(n1,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[923,946,theory(equality)]) ).
cnf(959,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n8 != sum(n1,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[956,195,theory(equality)]),117,theory(equality)]),184,theory(equality)]),87,theory(equality)]),134,theory(equality)]) ).
cnf(960,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[959,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),164,theory(equality)]) ).
cnf(961,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[960,theory(equality)]) ).
cnf(970,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n5,succ(n8)),sum(pred(n8),n7)) != sum(n1,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[923,961,theory(equality)]) ).
cnf(973,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != sum(n1,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[970,196,theory(equality)]),118,theory(equality)]),185,theory(equality)]),98,theory(equality)]),146,theory(equality)]) ).
cnf(974,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[973,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),166,theory(equality)]) ).
cnf(975,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[974,theory(equality)]) ).
cnf(983,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| sum(sum(n5,succ(n7)),sum(pred(n7),n7)) != sum(n1,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[923,975,theory(equality)]) ).
cnf(986,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n4 != sum(n1,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[983,197,theory(equality)]),119,theory(equality)]),186,theory(equality)]),109,theory(equality)]),158,theory(equality)]) ).
cnf(987,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[986,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),168,theory(equality)]) ).
cnf(988,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[987,theory(equality)]) ).
cnf(995,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n5,succ(n6)),sum(pred(n6),n7)) != sum(n1,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[923,988,theory(equality)]) ).
cnf(998,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != sum(n1,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[995,198,theory(equality)]),120,theory(equality)]),187,theory(equality)]),120,theory(equality)]),170,theory(equality)]) ).
cnf(999,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[998,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),170,theory(equality)]) ).
cnf(1000,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[999,theory(equality)]) ).
cnf(1006,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| sum(sum(n5,succ(n5)),sum(pred(n5),n7)) != sum(n1,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[923,1000,theory(equality)]) ).
cnf(1009,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n0 != sum(n1,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1006,199,theory(equality)]),121,theory(equality)]),188,theory(equality)]),131,theory(equality)]),182,theory(equality)]) ).
cnf(1010,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1009,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),161,theory(equality)]) ).
cnf(1011,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[1010,theory(equality)]) ).
cnf(1016,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n5,succ(n4)),sum(pred(n4),n7)) != sum(n1,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[923,1011,theory(equality)]) ).
cnf(1019,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n9 != sum(n1,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1016,200,theory(equality)]),122,theory(equality)]),189,theory(equality)]),142,theory(equality)]),62,theory(equality)]) ).
cnf(1020,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1019,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),163,theory(equality)]) ).
cnf(1021,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1020,theory(equality)]) ).
cnf(1025,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| sum(sum(n5,succ(n3)),sum(pred(n3),n7)) != sum(n1,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[923,1021,theory(equality)]) ).
cnf(1028,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| n7 != sum(n1,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1025,201,theory(equality)]),123,theory(equality)]),190,theory(equality)]),153,theory(equality)]),74,theory(equality)]) ).
cnf(1029,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1028,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),165,theory(equality)]) ).
cnf(1030,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[1029,theory(equality)]) ).
cnf(1040,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| sum(sum(n5,succ(n2)),sum(pred(n2),n7)) != sum(n1,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[923,1030,theory(equality)]) ).
cnf(1043,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| n5 != sum(n1,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1040,202,theory(equality)]),124,theory(equality)]),191,theory(equality)]),164,theory(equality)]),86,theory(equality)]) ).
cnf(1044,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1043,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),167,theory(equality)]) ).
cnf(1045,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1044,theory(equality)]) ).
cnf(1047,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| sum(sum(n5,succ(n1)),sum(pred(n1),n7)) != sum(n1,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[923,1045,theory(equality)]) ).
cnf(1050,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| n3 != sum(n1,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1047,203,theory(equality)]),125,theory(equality)]),192,theory(equality)]),175,theory(equality)]),98,theory(equality)]) ).
cnf(1051,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1050,192,theory(equality)]),203,theory(equality)]),180,theory(equality)]),169,theory(equality)]) ).
cnf(1052,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(cn,[status(thm)],[1051,theory(equality)]) ).
cnf(1057,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n5),succ(esk2_0)),sum(pred(esk2_0),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[59,1052,theory(equality)]) ).
cnf(1058,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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
| sum(sum(pred(n5),n1),sum(n10,succ(n5))) != sum(sum(pred(n5),succ(n5)),n0) ),
inference(spm,[status(thm)],[230,1052,theory(equality)]) ).
cnf(1059,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n4,succ(esk2_0)),sum(pred(esk2_0),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1057,188,theory(equality)]),199,theory(equality)]) ).
cnf(1060,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n4,succ(esk2_0)),sum(pred(esk2_0),n6)) != sum(n10,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1059,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]) ).
cnf(1061,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n10 != sum(sum(pred(n5),succ(n5)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1058,188,theory(equality)]),137,theory(equality)]),199,theory(equality)]),66,theory(equality)]),122,theory(equality)]) ).
cnf(1062,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1061,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),72,theory(equality)]) ).
cnf(1063,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[1062,theory(equality)]) ).
cnf(1078,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n4,succ(n10)),sum(pred(n10),n6)) != sum(n10,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[1060,1063,theory(equality)]) ).
cnf(1081,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n8 != sum(n10,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1078,194,theory(equality)]),138,theory(equality)]),183,theory(equality)]),77,theory(equality)]),134,theory(equality)]) ).
cnf(1082,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1081,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),63,theory(equality)]) ).
cnf(1083,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1082,theory(equality)]) ).
cnf(1093,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| sum(sum(n4,succ(n9)),sum(pred(n9),n6)) != sum(n10,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[1060,1083,theory(equality)]) ).
cnf(1096,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n6 != sum(n10,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1093,195,theory(equality)]),128,theory(equality)]),184,theory(equality)]),88,theory(equality)]),146,theory(equality)]) ).
cnf(1097,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1096,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),65,theory(equality)]) ).
cnf(1098,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[1097,theory(equality)]) ).
cnf(1107,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n4,succ(n8)),sum(pred(n8),n6)) != sum(n10,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[1060,1098,theory(equality)]) ).
cnf(1110,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n4 != sum(n10,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1107,196,theory(equality)]),129,theory(equality)]),185,theory(equality)]),99,theory(equality)]),158,theory(equality)]) ).
cnf(1111,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1110,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),67,theory(equality)]) ).
cnf(1112,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1111,theory(equality)]) ).
cnf(1120,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| sum(sum(n4,succ(n7)),sum(pred(n7),n6)) != sum(n10,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[1060,1112,theory(equality)]) ).
cnf(1123,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n2 != sum(n10,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1120,197,theory(equality)]),130,theory(equality)]),186,theory(equality)]),110,theory(equality)]),170,theory(equality)]) ).
cnf(1124,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1123,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),69,theory(equality)]) ).
cnf(1125,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[1124,theory(equality)]) ).
cnf(1132,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n4,succ(n6)),sum(pred(n6),n6)) != sum(n10,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[1060,1125,theory(equality)]) ).
cnf(1135,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != sum(n10,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1132,198,theory(equality)]),131,theory(equality)]),187,theory(equality)]),121,theory(equality)]),182,theory(equality)]) ).
cnf(1136,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1135,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),71,theory(equality)]) ).
cnf(1137,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1136,theory(equality)]) ).
cnf(1143,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| sum(sum(n4,succ(n5)),sum(pred(n5),n6)) != sum(n10,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[1060,1137,theory(equality)]) ).
cnf(1146,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n9 != sum(n10,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1143,199,theory(equality)]),132,theory(equality)]),188,theory(equality)]),132,theory(equality)]),62,theory(equality)]) ).
cnf(1147,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1146,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),62,theory(equality)]) ).
cnf(1148,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[1147,theory(equality)]) ).
cnf(1153,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n4,succ(n4)),sum(pred(n4),n6)) != sum(n10,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[1060,1148,theory(equality)]) ).
cnf(1156,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n7 != sum(n10,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1153,200,theory(equality)]),133,theory(equality)]),189,theory(equality)]),143,theory(equality)]),74,theory(equality)]) ).
cnf(1157,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1156,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),64,theory(equality)]) ).
cnf(1158,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1157,theory(equality)]) ).
cnf(1162,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| sum(sum(n4,succ(n3)),sum(pred(n3),n6)) != sum(n10,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[1060,1158,theory(equality)]) ).
cnf(1165,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| n5 != sum(n10,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1162,201,theory(equality)]),134,theory(equality)]),190,theory(equality)]),154,theory(equality)]),86,theory(equality)]) ).
cnf(1166,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1165,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),66,theory(equality)]) ).
cnf(1167,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[1166,theory(equality)]) ).
cnf(1170,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| sum(sum(n4,succ(n2)),sum(pred(n2),n6)) != sum(n10,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[1060,1167,theory(equality)]) ).
cnf(1173,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| n3 != sum(n10,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1170,202,theory(equality)]),135,theory(equality)]),191,theory(equality)]),165,theory(equality)]),98,theory(equality)]) ).
cnf(1174,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1173,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),68,theory(equality)]) ).
cnf(1175,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1174,theory(equality)]) ).
cnf(1185,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| sum(sum(n4,succ(n1)),sum(pred(n1),n6)) != sum(n10,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[1060,1175,theory(equality)]) ).
cnf(1188,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| n1 != sum(n10,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1185,203,theory(equality)]),136,theory(equality)]),192,theory(equality)]),176,theory(equality)]),110,theory(equality)]) ).
cnf(1189,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1188,192,theory(equality)]),203,theory(equality)]),180,theory(equality)]),70,theory(equality)]) ).
cnf(1190,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(cn,[status(thm)],[1189,theory(equality)]) ).
cnf(1194,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n4),succ(esk2_0)),sum(pred(esk2_0),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[59,1190,theory(equality)]) ).
cnf(1195,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n4),n1),sum(n10,succ(n4))) != sum(sum(pred(n4),succ(n4)),n0) ),
inference(spm,[status(thm)],[230,1190,theory(equality)]) ).
cnf(1196,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n3,succ(esk2_0)),sum(pred(esk2_0),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1194,189,theory(equality)]),200,theory(equality)]) ).
cnf(1197,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| sum(sum(n3,succ(esk2_0)),sum(pred(esk2_0),n5)) != sum(n8,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1196,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]) ).
cnf(1198,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| n8 != sum(sum(pred(n4),succ(n4)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1195,189,theory(equality)]),148,theory(equality)]),200,theory(equality)]),67,theory(equality)]),134,theory(equality)]) ).
cnf(1199,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1198,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),94,theory(equality)]) ).
cnf(1200,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[1199,theory(equality)]) ).
cnf(1214,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n3,succ(n10)),sum(pred(n10),n5)) != sum(n8,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[1197,1200,theory(equality)]) ).
cnf(1218,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n6 != sum(n8,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1214,194,theory(equality)]),149,theory(equality)]),183,theory(equality)]),78,theory(equality)]),146,theory(equality)]) ).
cnf(1219,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1218,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),85,theory(equality)]) ).
cnf(1220,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1219,theory(equality)]) ).
cnf(1230,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| sum(sum(n3,succ(n9)),sum(pred(n9),n5)) != sum(n8,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[1197,1220,theory(equality)]) ).
cnf(1233,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n4 != sum(n8,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1230,195,theory(equality)]),139,theory(equality)]),184,theory(equality)]),89,theory(equality)]),158,theory(equality)]) ).
cnf(1234,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1233,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),87,theory(equality)]) ).
cnf(1235,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[1234,theory(equality)]) ).
cnf(1244,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n3,succ(n8)),sum(pred(n8),n5)) != sum(n8,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[1197,1235,theory(equality)]) ).
cnf(1247,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != sum(n8,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1244,196,theory(equality)]),140,theory(equality)]),185,theory(equality)]),100,theory(equality)]),170,theory(equality)]) ).
cnf(1248,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1247,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),89,theory(equality)]) ).
cnf(1249,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1248,theory(equality)]) ).
cnf(1257,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| sum(sum(n3,succ(n7)),sum(pred(n7),n5)) != sum(n8,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[1197,1249,theory(equality)]) ).
cnf(1260,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n0 != sum(n8,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1257,197,theory(equality)]),141,theory(equality)]),186,theory(equality)]),111,theory(equality)]),182,theory(equality)]) ).
cnf(1261,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1260,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),91,theory(equality)]) ).
cnf(1262,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[1261,theory(equality)]) ).
cnf(1269,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n3,succ(n6)),sum(pred(n6),n5)) != sum(n8,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[1197,1262,theory(equality)]) ).
cnf(1272,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n9 != sum(n8,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1269,198,theory(equality)]),142,theory(equality)]),187,theory(equality)]),122,theory(equality)]),62,theory(equality)]) ).
cnf(1273,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1272,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),93,theory(equality)]) ).
cnf(1274,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1273,theory(equality)]) ).
cnf(1280,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| sum(sum(n3,succ(n5)),sum(pred(n5),n5)) != sum(n8,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[1197,1274,theory(equality)]) ).
cnf(1283,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n7 != sum(n8,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1280,199,theory(equality)]),143,theory(equality)]),188,theory(equality)]),133,theory(equality)]),74,theory(equality)]) ).
cnf(1284,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1283,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),84,theory(equality)]) ).
cnf(1285,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[1284,theory(equality)]) ).
cnf(1290,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n3,succ(n4)),sum(pred(n4),n5)) != sum(n8,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[1197,1285,theory(equality)]) ).
cnf(1293,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n5 != sum(n8,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1290,200,theory(equality)]),144,theory(equality)]),189,theory(equality)]),144,theory(equality)]),86,theory(equality)]) ).
cnf(1294,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1293,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),86,theory(equality)]) ).
cnf(1295,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1294,theory(equality)]) ).
cnf(1299,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| sum(sum(n3,succ(n3)),sum(pred(n3),n5)) != sum(n8,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[1197,1295,theory(equality)]) ).
cnf(1302,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| n3 != sum(n8,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1299,201,theory(equality)]),145,theory(equality)]),190,theory(equality)]),155,theory(equality)]),98,theory(equality)]) ).
cnf(1303,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1302,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),88,theory(equality)]) ).
cnf(1304,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[1303,theory(equality)]) ).
cnf(1307,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| sum(sum(n3,succ(n2)),sum(pred(n2),n5)) != sum(n8,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[1197,1304,theory(equality)]) ).
cnf(1310,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| n1 != sum(n8,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1307,202,theory(equality)]),146,theory(equality)]),191,theory(equality)]),166,theory(equality)]),110,theory(equality)]) ).
cnf(1311,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1310,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),90,theory(equality)]) ).
cnf(1312,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1311,theory(equality)]) ).
cnf(1322,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| sum(sum(n3,succ(n1)),sum(pred(n1),n5)) != sum(n8,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[1197,1312,theory(equality)]) ).
cnf(1325,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| n10 != sum(n8,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1322,203,theory(equality)]),147,theory(equality)]),192,theory(equality)]),177,theory(equality)]),122,theory(equality)]) ).
cnf(1326,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1325,192,theory(equality)]),203,theory(equality)]),180,theory(equality)]),92,theory(equality)]) ).
cnf(1327,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(cn,[status(thm)],[1326,theory(equality)]) ).
cnf(1330,plain,
( esk1_0 = n2
| esk1_0 = n1
| sum(sum(pred(n3),succ(esk2_0)),sum(pred(esk2_0),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[59,1327,theory(equality)]) ).
cnf(1331,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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
| sum(sum(pred(n3),n1),sum(n10,succ(n3))) != sum(sum(pred(n3),succ(n3)),n0) ),
inference(spm,[status(thm)],[230,1327,theory(equality)]) ).
cnf(1332,plain,
( esk1_0 = n2
| esk1_0 = n1
| sum(sum(n2,succ(esk2_0)),sum(pred(esk2_0),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1330,190,theory(equality)]),201,theory(equality)]) ).
cnf(1333,plain,
( esk1_0 = n2
| esk1_0 = n1
| sum(sum(n2,succ(esk2_0)),sum(pred(esk2_0),n4)) != sum(n6,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1332,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]) ).
cnf(1334,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n2
| esk1_0 = n1
| n6 != sum(sum(pred(n3),succ(n3)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1331,190,theory(equality)]),159,theory(equality)]),201,theory(equality)]),68,theory(equality)]),146,theory(equality)]) ).
cnf(1335,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1334,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),116,theory(equality)]) ).
cnf(1336,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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(cn,[status(thm)],[1335,theory(equality)]) ).
cnf(1350,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n10)),sum(pred(n10),n4)) != sum(n6,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[1333,1336,theory(equality)]) ).
cnf(1354,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n4 != sum(n6,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1350,194,theory(equality)]),160,theory(equality)]),183,theory(equality)]),79,theory(equality)]),158,theory(equality)]) ).
cnf(1355,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1354,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),107,theory(equality)]) ).
cnf(1356,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1355,theory(equality)]) ).
cnf(1366,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| sum(sum(n2,succ(n9)),sum(pred(n9),n4)) != sum(n6,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[1333,1356,theory(equality)]) ).
cnf(1369,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n2 != sum(n6,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1366,195,theory(equality)]),150,theory(equality)]),184,theory(equality)]),90,theory(equality)]),170,theory(equality)]) ).
cnf(1370,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1369,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),109,theory(equality)]) ).
cnf(1371,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[1370,theory(equality)]) ).
cnf(1380,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n8)),sum(pred(n8),n4)) != sum(n6,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[1333,1371,theory(equality)]) ).
cnf(1383,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != sum(n6,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1380,196,theory(equality)]),151,theory(equality)]),185,theory(equality)]),101,theory(equality)]),182,theory(equality)]) ).
cnf(1384,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1383,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),111,theory(equality)]) ).
cnf(1385,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1384,theory(equality)]) ).
cnf(1393,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| sum(sum(n2,succ(n7)),sum(pred(n7),n4)) != sum(n6,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[1333,1385,theory(equality)]) ).
cnf(1396,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n9 != sum(n6,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1393,197,theory(equality)]),152,theory(equality)]),186,theory(equality)]),112,theory(equality)]),62,theory(equality)]) ).
cnf(1397,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1396,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),113,theory(equality)]) ).
cnf(1398,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[1397,theory(equality)]) ).
cnf(1405,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n6)),sum(pred(n6),n4)) != sum(n6,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[1333,1398,theory(equality)]) ).
cnf(1408,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n7 != sum(n6,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1405,198,theory(equality)]),153,theory(equality)]),187,theory(equality)]),123,theory(equality)]),74,theory(equality)]) ).
cnf(1409,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1408,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),115,theory(equality)]) ).
cnf(1410,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1409,theory(equality)]) ).
cnf(1416,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| sum(sum(n2,succ(n5)),sum(pred(n5),n4)) != sum(n6,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[1333,1410,theory(equality)]) ).
cnf(1419,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n5 != sum(n6,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1416,199,theory(equality)]),154,theory(equality)]),188,theory(equality)]),134,theory(equality)]),86,theory(equality)]) ).
cnf(1420,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1419,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),106,theory(equality)]) ).
cnf(1421,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[1420,theory(equality)]) ).
cnf(1426,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n4)),sum(pred(n4),n4)) != sum(n6,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[1333,1421,theory(equality)]) ).
cnf(1429,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n3 != sum(n6,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1426,200,theory(equality)]),155,theory(equality)]),189,theory(equality)]),145,theory(equality)]),98,theory(equality)]) ).
cnf(1430,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1429,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),108,theory(equality)]) ).
cnf(1431,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1430,theory(equality)]) ).
cnf(1435,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| sum(sum(n2,succ(n3)),sum(pred(n3),n4)) != sum(n6,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[1333,1431,theory(equality)]) ).
cnf(1438,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| n1 != sum(n6,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1435,201,theory(equality)]),156,theory(equality)]),190,theory(equality)]),156,theory(equality)]),110,theory(equality)]) ).
cnf(1439,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1438,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),110,theory(equality)]) ).
cnf(1440,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[1439,theory(equality)]) ).
cnf(1443,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| sum(sum(n2,succ(n2)),sum(pred(n2),n4)) != sum(n6,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[1333,1440,theory(equality)]) ).
cnf(1446,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| n10 != sum(n6,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1443,202,theory(equality)]),157,theory(equality)]),191,theory(equality)]),167,theory(equality)]),122,theory(equality)]) ).
cnf(1447,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1446,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),112,theory(equality)]) ).
cnf(1448,plain,
( esk1_0 = n1
| esk1_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1447,theory(equality)]) ).
cnf(1458,plain,
( esk1_0 = n1
| esk1_0 = n2
| sum(sum(n2,succ(n1)),sum(pred(n1),n4)) != sum(n6,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[1333,1448,theory(equality)]) ).
cnf(1461,plain,
( esk1_0 = n1
| esk1_0 = n2
| n8 != sum(n6,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1458,203,theory(equality)]),158,theory(equality)]),192,theory(equality)]),178,theory(equality)]),134,theory(equality)]) ).
cnf(1462,plain,
( esk1_0 = n1
| esk1_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1461,192,theory(equality)]),203,theory(equality)]),180,theory(equality)]),114,theory(equality)]) ).
cnf(1463,plain,
( esk1_0 = n1
| esk1_0 = n2 ),
inference(cn,[status(thm)],[1462,theory(equality)]) ).
cnf(1465,plain,
( esk1_0 = n1
| sum(sum(pred(n2),succ(esk2_0)),sum(pred(esk2_0),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(spm,[status(thm)],[59,1463,theory(equality)]) ).
cnf(1466,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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
| sum(sum(pred(n2),n1),sum(n10,succ(n2))) != sum(sum(pred(n2),succ(n2)),n0) ),
inference(spm,[status(thm)],[230,1463,theory(equality)]) ).
cnf(1467,plain,
( esk1_0 = n1
| sum(sum(n1,succ(esk2_0)),sum(pred(esk2_0),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1465,191,theory(equality)]),202,theory(equality)]) ).
cnf(1468,plain,
( esk1_0 = n1
| sum(sum(n1,succ(esk2_0)),sum(pred(esk2_0),n3)) != sum(n4,sum(pred(esk2_0),succ(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1467,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]) ).
cnf(1469,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| esk1_0 = n1
| n4 != sum(sum(pred(n2),succ(n2)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1466,191,theory(equality)]),170,theory(equality)]),202,theory(equality)]),69,theory(equality)]),158,theory(equality)]) ).
cnf(1470,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1469,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),138,theory(equality)]) ).
cnf(1471,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = 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(cn,[status(thm)],[1470,theory(equality)]) ).
cnf(1485,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n1,succ(n10)),sum(pred(n10),n3)) != sum(n4,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[1468,1471,theory(equality)]) ).
cnf(1489,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n2 != sum(n4,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1485,194,theory(equality)]),171,theory(equality)]),183,theory(equality)]),80,theory(equality)]),170,theory(equality)]) ).
cnf(1490,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1489,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),129,theory(equality)]) ).
cnf(1491,plain,
( esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1490,theory(equality)]) ).
cnf(1501,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| sum(sum(n1,succ(n9)),sum(pred(n9),n3)) != sum(n4,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[1468,1491,theory(equality)]) ).
cnf(1504,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n0 != sum(n4,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1501,195,theory(equality)]),161,theory(equality)]),184,theory(equality)]),91,theory(equality)]),182,theory(equality)]) ).
cnf(1505,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1504,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),131,theory(equality)]) ).
cnf(1506,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[1505,theory(equality)]) ).
cnf(1515,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n1,succ(n8)),sum(pred(n8),n3)) != sum(n4,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[1468,1506,theory(equality)]) ).
cnf(1518,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n9 != sum(n4,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1515,196,theory(equality)]),162,theory(equality)]),185,theory(equality)]),102,theory(equality)]),62,theory(equality)]) ).
cnf(1519,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1518,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),133,theory(equality)]) ).
cnf(1520,plain,
( esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1519,theory(equality)]) ).
cnf(1528,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| sum(sum(n1,succ(n7)),sum(pred(n7),n3)) != sum(n4,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[1468,1520,theory(equality)]) ).
cnf(1531,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n7 != sum(n4,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1528,197,theory(equality)]),163,theory(equality)]),186,theory(equality)]),113,theory(equality)]),74,theory(equality)]) ).
cnf(1532,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1531,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),135,theory(equality)]) ).
cnf(1533,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[1532,theory(equality)]) ).
cnf(1540,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n1,succ(n6)),sum(pred(n6),n3)) != sum(n4,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[1468,1533,theory(equality)]) ).
cnf(1543,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n5 != sum(n4,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1540,198,theory(equality)]),164,theory(equality)]),187,theory(equality)]),124,theory(equality)]),86,theory(equality)]) ).
cnf(1544,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1543,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),137,theory(equality)]) ).
cnf(1545,plain,
( esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1544,theory(equality)]) ).
cnf(1551,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| sum(sum(n1,succ(n5)),sum(pred(n5),n3)) != sum(n4,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[1468,1545,theory(equality)]) ).
cnf(1554,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n3 != sum(n4,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1551,199,theory(equality)]),165,theory(equality)]),188,theory(equality)]),135,theory(equality)]),98,theory(equality)]) ).
cnf(1555,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1554,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),128,theory(equality)]) ).
cnf(1556,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[1555,theory(equality)]) ).
cnf(1561,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n1,succ(n4)),sum(pred(n4),n3)) != sum(n4,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[1468,1556,theory(equality)]) ).
cnf(1564,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n1 != sum(n4,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1561,200,theory(equality)]),166,theory(equality)]),189,theory(equality)]),146,theory(equality)]),110,theory(equality)]) ).
cnf(1565,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1564,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),130,theory(equality)]) ).
cnf(1566,plain,
( esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1565,theory(equality)]) ).
cnf(1570,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| sum(sum(n1,succ(n3)),sum(pred(n3),n3)) != sum(n4,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[1468,1566,theory(equality)]) ).
cnf(1573,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| n10 != sum(n4,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1570,201,theory(equality)]),167,theory(equality)]),190,theory(equality)]),157,theory(equality)]),122,theory(equality)]) ).
cnf(1574,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1573,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),132,theory(equality)]) ).
cnf(1575,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[1574,theory(equality)]) ).
cnf(1578,plain,
( esk1_0 = n1
| esk2_0 = n1
| sum(sum(n1,succ(n2)),sum(pred(n2),n3)) != sum(n4,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[1468,1575,theory(equality)]) ).
cnf(1581,plain,
( esk1_0 = n1
| esk2_0 = n1
| n8 != sum(n4,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1578,202,theory(equality)]),168,theory(equality)]),191,theory(equality)]),168,theory(equality)]),134,theory(equality)]) ).
cnf(1582,plain,
( esk1_0 = n1
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1581,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),134,theory(equality)]) ).
cnf(1583,plain,
( esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1582,theory(equality)]) ).
cnf(1593,plain,
( esk1_0 = n1
| sum(sum(n1,succ(n1)),sum(pred(n1),n3)) != sum(n4,sum(pred(n1),succ(n1))) ),
inference(spm,[status(thm)],[1468,1583,theory(equality)]) ).
cnf(1596,plain,
( esk1_0 = n1
| n6 != sum(n4,sum(pred(n1),succ(n1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1593,203,theory(equality)]),169,theory(equality)]),192,theory(equality)]),179,theory(equality)]),146,theory(equality)]) ).
cnf(1597,plain,
( esk1_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1596,192,theory(equality)]),203,theory(equality)]),180,theory(equality)]),136,theory(equality)]) ).
cnf(1598,plain,
esk1_0 = n1,
inference(cn,[status(thm)],[1597,theory(equality)]) ).
cnf(1599,plain,
sum(sum(n0,succ(esk2_0)),sum(pred(esk2_0),n2)) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[59,1598,theory(equality)]),192,theory(equality)]),1598,theory(equality)]),203,theory(equality)]) ).
cnf(1600,plain,
sum(sum(n0,succ(esk2_0)),sum(pred(esk2_0),n2)) != sum(n2,sum(pred(esk2_0),succ(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1599,1598,theory(equality)]),192,theory(equality)]),1598,theory(equality)]),203,theory(equality)]),180,theory(equality)]) ).
cnf(1605,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| n2 != sum(sum(pred(esk1_0),succ(esk1_0)),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[230,1598,theory(equality)]),192,theory(equality)]),181,theory(equality)]),1598,theory(equality)]),203,theory(equality)]),70,theory(equality)]),170,theory(equality)]) ).
cnf(1606,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1605,1598,theory(equality)]),192,theory(equality)]),1598,theory(equality)]),203,theory(equality)]),180,theory(equality)]),160,theory(equality)]) ).
cnf(1607,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(cn,[status(thm)],[1606,theory(equality)]) ).
cnf(1617,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n0,succ(n10)),sum(pred(n10),n2)) != sum(n2,sum(pred(n10),succ(n10))) ),
inference(spm,[status(thm)],[1600,1607,theory(equality)]) ).
cnf(1618,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n0 != sum(n2,sum(pred(n10),succ(n10))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1617,194,theory(equality)]),182,theory(equality)]),183,theory(equality)]),81,theory(equality)]),182,theory(equality)]) ).
cnf(1619,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1618,183,theory(equality)]),194,theory(equality)]),83,theory(equality)]),151,theory(equality)]) ).
cnf(1620,plain,
( esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1619,theory(equality)]) ).
cnf(1629,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| sum(sum(n0,succ(n9)),sum(pred(n9),n2)) != sum(n2,sum(pred(n9),succ(n9))) ),
inference(spm,[status(thm)],[1600,1620,theory(equality)]) ).
cnf(1630,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| n9 != sum(n2,sum(pred(n9),succ(n9))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1629,195,theory(equality)]),172,theory(equality)]),184,theory(equality)]),92,theory(equality)]),62,theory(equality)]) ).
cnf(1631,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1630,184,theory(equality)]),195,theory(equality)]),84,theory(equality)]),153,theory(equality)]) ).
cnf(1632,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[1631,theory(equality)]) ).
cnf(1640,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n0,succ(n8)),sum(pred(n8),n2)) != sum(n2,sum(pred(n8),succ(n8))) ),
inference(spm,[status(thm)],[1600,1632,theory(equality)]) ).
cnf(1641,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n7 != sum(n2,sum(pred(n8),succ(n8))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1640,196,theory(equality)]),173,theory(equality)]),185,theory(equality)]),103,theory(equality)]),74,theory(equality)]) ).
cnf(1642,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1641,185,theory(equality)]),196,theory(equality)]),96,theory(equality)]),155,theory(equality)]) ).
cnf(1643,plain,
( esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1642,theory(equality)]) ).
cnf(1650,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| sum(sum(n0,succ(n7)),sum(pred(n7),n2)) != sum(n2,sum(pred(n7),succ(n7))) ),
inference(spm,[status(thm)],[1600,1643,theory(equality)]) ).
cnf(1651,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| n5 != sum(n2,sum(pred(n7),succ(n7))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1650,197,theory(equality)]),174,theory(equality)]),186,theory(equality)]),114,theory(equality)]),86,theory(equality)]) ).
cnf(1652,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1651,186,theory(equality)]),197,theory(equality)]),108,theory(equality)]),157,theory(equality)]) ).
cnf(1653,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[1652,theory(equality)]) ).
cnf(1659,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n0,succ(n6)),sum(pred(n6),n2)) != sum(n2,sum(pred(n6),succ(n6))) ),
inference(spm,[status(thm)],[1600,1653,theory(equality)]) ).
cnf(1660,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n3 != sum(n2,sum(pred(n6),succ(n6))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1659,198,theory(equality)]),175,theory(equality)]),187,theory(equality)]),125,theory(equality)]),98,theory(equality)]) ).
cnf(1661,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1660,187,theory(equality)]),198,theory(equality)]),120,theory(equality)]),159,theory(equality)]) ).
cnf(1662,plain,
( esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1661,theory(equality)]) ).
cnf(1667,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| sum(sum(n0,succ(n5)),sum(pred(n5),n2)) != sum(n2,sum(pred(n5),succ(n5))) ),
inference(spm,[status(thm)],[1600,1662,theory(equality)]) ).
cnf(1668,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| n1 != sum(n2,sum(pred(n5),succ(n5))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1667,199,theory(equality)]),176,theory(equality)]),188,theory(equality)]),136,theory(equality)]),110,theory(equality)]) ).
cnf(1669,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1668,188,theory(equality)]),199,theory(equality)]),132,theory(equality)]),150,theory(equality)]) ).
cnf(1670,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[1669,theory(equality)]) ).
cnf(1674,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| sum(sum(n0,succ(n4)),sum(pred(n4),n2)) != sum(n2,sum(pred(n4),succ(n4))) ),
inference(spm,[status(thm)],[1600,1670,theory(equality)]) ).
cnf(1675,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| n10 != sum(n2,sum(pred(n4),succ(n4))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1674,200,theory(equality)]),177,theory(equality)]),189,theory(equality)]),147,theory(equality)]),122,theory(equality)]) ).
cnf(1676,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1675,189,theory(equality)]),200,theory(equality)]),144,theory(equality)]),152,theory(equality)]) ).
cnf(1677,plain,
( esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[1676,theory(equality)]) ).
cnf(1680,plain,
( esk2_0 = n1
| esk2_0 = n2
| sum(sum(n0,succ(n3)),sum(pred(n3),n2)) != sum(n2,sum(pred(n3),succ(n3))) ),
inference(spm,[status(thm)],[1600,1677,theory(equality)]) ).
cnf(1681,plain,
( esk2_0 = n1
| esk2_0 = n2
| n8 != sum(n2,sum(pred(n3),succ(n3))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1680,201,theory(equality)]),178,theory(equality)]),190,theory(equality)]),158,theory(equality)]),134,theory(equality)]) ).
cnf(1682,plain,
( esk2_0 = n1
| esk2_0 = n2
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1681,190,theory(equality)]),201,theory(equality)]),156,theory(equality)]),154,theory(equality)]) ).
cnf(1683,plain,
( esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[1682,theory(equality)]) ).
cnf(1685,plain,
( esk2_0 = n1
| sum(sum(n0,succ(n2)),sum(pred(n2),n2)) != sum(n2,sum(pred(n2),succ(n2))) ),
inference(spm,[status(thm)],[1600,1683,theory(equality)]) ).
cnf(1686,plain,
( esk2_0 = n1
| n6 != sum(n2,sum(pred(n2),succ(n2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1685,202,theory(equality)]),179,theory(equality)]),191,theory(equality)]),169,theory(equality)]),146,theory(equality)]) ).
cnf(1687,plain,
( esk2_0 = n1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1686,191,theory(equality)]),202,theory(equality)]),168,theory(equality)]),156,theory(equality)]) ).
cnf(1688,plain,
esk2_0 = n1,
inference(cn,[status(thm)],[1687,theory(equality)]) ).
cnf(1689,plain,
n4 != sum(n2,sum(pred(esk2_0),succ(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1600,1688,theory(equality)]),203,theory(equality)]),180,theory(equality)]),1688,theory(equality)]),192,theory(equality)]),180,theory(equality)]),158,theory(equality)]) ).
cnf(1690,plain,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1689,1688,theory(equality)]),192,theory(equality)]),1688,theory(equality)]),203,theory(equality)]),180,theory(equality)]),158,theory(equality)]) ).
cnf(1691,plain,
$false,
inference(cn,[status(thm)],[1690,theory(equality)]) ).
cnf(1692,plain,
$false,
1691,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM376+1.010 : TPTP v7.0.0. Released v3.2.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n109.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 02:12:15 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 0.06/0.41 -running prover on /export/starexec/sandbox2/tmp/tmpAsOWXY/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.41 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpAsOWXY/sel_theBenchmark.p_1']
% 0.06/0.41 -prover status Unsatisfiable
% 0.06/0.41 Problem theBenchmark.p solved in phase 0.
% 0.06/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.41 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.41 Solved 1 out of 1.
% 0.06/0.41 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.41 # SZS status Unsatisfiable
% 0.06/0.41 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.42 # SZS output end CNFRefutation
%------------------------------------------------------------------------------