TSTP Solution File: NUM376+1.010 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:48:49 EDT 2024
% Result : Unsatisfiable 2.76s 1.17s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1] :
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) != sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1)))
& ( n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2,plain,
( ? [X0,X1] :
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) != sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1)))
& ( n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 )
=> ( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
& ( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
& ( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1,f2]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f3]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f3]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f3]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f3]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f3]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f3]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f3]) ).
fof(f14,plain,
n0 = succ(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
n10 = pred(n0),
inference(cnf_transformation,[],[f3]) ).
fof(f16,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f3]) ).
fof(f18,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f3]) ).
fof(f19,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f27,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f31,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f36,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f37,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f40,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f43,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f44,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f45,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f46,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f47,plain,
n0 = sum(n1,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f48,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f49,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f50,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f51,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f52,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f53,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f54,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f55,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f56,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f57,plain,
n0 = sum(n2,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f58,plain,
n1 = sum(n2,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f59,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f60,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f61,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f62,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f63,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f64,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f65,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f66,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f67,plain,
n0 = sum(n3,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f68,plain,
n1 = sum(n3,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f69,plain,
n2 = sum(n3,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f70,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f71,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f72,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f73,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f74,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f75,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f76,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f77,plain,
n0 = sum(n4,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f78,plain,
n1 = sum(n4,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f79,plain,
n2 = sum(n4,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f80,plain,
n3 = sum(n4,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f81,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f82,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f83,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f84,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f85,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f86,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
n0 = sum(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f88,plain,
n1 = sum(n5,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f89,plain,
n2 = sum(n5,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f90,plain,
n3 = sum(n5,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f91,plain,
n4 = sum(n5,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f92,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f93,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f94,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f95,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f96,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f97,plain,
n0 = sum(n6,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f98,plain,
n1 = sum(n6,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
n2 = sum(n6,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f100,plain,
n3 = sum(n6,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f101,plain,
n4 = sum(n6,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
n5 = sum(n6,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f105,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f107,plain,
n0 = sum(n7,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
n1 = sum(n7,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
n2 = sum(n7,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
n3 = sum(n7,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
n4 = sum(n7,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
n5 = sum(n7,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
n6 = sum(n7,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
n0 = sum(n8,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
n1 = sum(n8,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
n2 = sum(n8,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
n3 = sum(n8,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
n4 = sum(n8,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
n5 = sum(n8,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
n6 = sum(n8,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
n7 = sum(n8,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
n0 = sum(n9,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
n1 = sum(n9,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
n2 = sum(n9,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
n3 = sum(n9,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
n4 = sum(n9,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
n5 = sum(n9,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
n6 = sum(n9,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
n7 = sum(n9,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
n8 = sum(n9,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
n0 = sum(n10,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
n1 = sum(n10,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
n2 = sum(n10,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f140,plain,
n3 = sum(n10,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
n4 = sum(n10,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
n5 = sum(n10,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
n6 = sum(n10,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f144,plain,
n7 = sum(n10,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
n8 = sum(n10,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
n9 = sum(n10,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f147,plain,
( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))),
inference(cnf_transformation,[],[f3]) ).
cnf(c_104,plain,
sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))),
inference(cnf_transformation,[],[f149]) ).
cnf(c_105,plain,
( n9 = sK1
| n10 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_106,plain,
( n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_107,plain,
sum(n10,n10) = n9,
inference(cnf_transformation,[],[f146]) ).
cnf(c_108,plain,
sum(n10,n9) = n8,
inference(cnf_transformation,[],[f145]) ).
cnf(c_109,plain,
sum(n10,n8) = n7,
inference(cnf_transformation,[],[f144]) ).
cnf(c_110,plain,
sum(n10,n7) = n6,
inference(cnf_transformation,[],[f143]) ).
cnf(c_111,plain,
sum(n10,n6) = n5,
inference(cnf_transformation,[],[f142]) ).
cnf(c_112,plain,
sum(n10,n5) = n4,
inference(cnf_transformation,[],[f141]) ).
cnf(c_113,plain,
sum(n10,n4) = n3,
inference(cnf_transformation,[],[f140]) ).
cnf(c_114,plain,
sum(n10,n3) = n2,
inference(cnf_transformation,[],[f139]) ).
cnf(c_115,plain,
sum(n10,n2) = n1,
inference(cnf_transformation,[],[f138]) ).
cnf(c_116,plain,
sum(n10,n1) = n0,
inference(cnf_transformation,[],[f137]) ).
cnf(c_117,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[],[f136]) ).
cnf(c_118,plain,
sum(n9,n10) = n8,
inference(cnf_transformation,[],[f135]) ).
cnf(c_119,plain,
sum(n9,n9) = n7,
inference(cnf_transformation,[],[f134]) ).
cnf(c_120,plain,
sum(n9,n8) = n6,
inference(cnf_transformation,[],[f133]) ).
cnf(c_121,plain,
sum(n9,n7) = n5,
inference(cnf_transformation,[],[f132]) ).
cnf(c_122,plain,
sum(n9,n6) = n4,
inference(cnf_transformation,[],[f131]) ).
cnf(c_123,plain,
sum(n9,n5) = n3,
inference(cnf_transformation,[],[f130]) ).
cnf(c_124,plain,
sum(n9,n4) = n2,
inference(cnf_transformation,[],[f129]) ).
cnf(c_125,plain,
sum(n9,n3) = n1,
inference(cnf_transformation,[],[f128]) ).
cnf(c_126,plain,
sum(n9,n2) = n0,
inference(cnf_transformation,[],[f127]) ).
cnf(c_127,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[],[f126]) ).
cnf(c_128,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[],[f125]) ).
cnf(c_129,plain,
sum(n8,n10) = n7,
inference(cnf_transformation,[],[f124]) ).
cnf(c_130,plain,
sum(n8,n9) = n6,
inference(cnf_transformation,[],[f123]) ).
cnf(c_131,plain,
sum(n8,n8) = n5,
inference(cnf_transformation,[],[f122]) ).
cnf(c_132,plain,
sum(n8,n7) = n4,
inference(cnf_transformation,[],[f121]) ).
cnf(c_133,plain,
sum(n8,n6) = n3,
inference(cnf_transformation,[],[f120]) ).
cnf(c_134,plain,
sum(n8,n5) = n2,
inference(cnf_transformation,[],[f119]) ).
cnf(c_135,plain,
sum(n8,n4) = n1,
inference(cnf_transformation,[],[f118]) ).
cnf(c_136,plain,
sum(n8,n3) = n0,
inference(cnf_transformation,[],[f117]) ).
cnf(c_137,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[],[f116]) ).
cnf(c_138,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[],[f115]) ).
cnf(c_139,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[],[f114]) ).
cnf(c_140,plain,
sum(n7,n10) = n6,
inference(cnf_transformation,[],[f113]) ).
cnf(c_141,plain,
sum(n7,n9) = n5,
inference(cnf_transformation,[],[f112]) ).
cnf(c_142,plain,
sum(n7,n8) = n4,
inference(cnf_transformation,[],[f111]) ).
cnf(c_143,plain,
sum(n7,n7) = n3,
inference(cnf_transformation,[],[f110]) ).
cnf(c_144,plain,
sum(n7,n6) = n2,
inference(cnf_transformation,[],[f109]) ).
cnf(c_145,plain,
sum(n7,n5) = n1,
inference(cnf_transformation,[],[f108]) ).
cnf(c_146,plain,
sum(n7,n4) = n0,
inference(cnf_transformation,[],[f107]) ).
cnf(c_147,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[],[f106]) ).
cnf(c_148,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[],[f105]) ).
cnf(c_149,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[],[f104]) ).
cnf(c_150,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[],[f103]) ).
cnf(c_151,plain,
sum(n6,n10) = n5,
inference(cnf_transformation,[],[f102]) ).
cnf(c_152,plain,
sum(n6,n9) = n4,
inference(cnf_transformation,[],[f101]) ).
cnf(c_153,plain,
sum(n6,n8) = n3,
inference(cnf_transformation,[],[f100]) ).
cnf(c_154,plain,
sum(n6,n7) = n2,
inference(cnf_transformation,[],[f99]) ).
cnf(c_155,plain,
sum(n6,n6) = n1,
inference(cnf_transformation,[],[f98]) ).
cnf(c_156,plain,
sum(n6,n5) = n0,
inference(cnf_transformation,[],[f97]) ).
cnf(c_157,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[],[f96]) ).
cnf(c_158,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[],[f95]) ).
cnf(c_159,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[],[f94]) ).
cnf(c_160,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[],[f93]) ).
cnf(c_161,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[],[f92]) ).
cnf(c_162,plain,
sum(n5,n10) = n4,
inference(cnf_transformation,[],[f91]) ).
cnf(c_163,plain,
sum(n5,n9) = n3,
inference(cnf_transformation,[],[f90]) ).
cnf(c_164,plain,
sum(n5,n8) = n2,
inference(cnf_transformation,[],[f89]) ).
cnf(c_165,plain,
sum(n5,n7) = n1,
inference(cnf_transformation,[],[f88]) ).
cnf(c_166,plain,
sum(n5,n6) = n0,
inference(cnf_transformation,[],[f87]) ).
cnf(c_167,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[],[f86]) ).
cnf(c_168,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[],[f85]) ).
cnf(c_169,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[],[f84]) ).
cnf(c_170,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[],[f83]) ).
cnf(c_171,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[],[f82]) ).
cnf(c_172,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[],[f81]) ).
cnf(c_173,plain,
sum(n4,n10) = n3,
inference(cnf_transformation,[],[f80]) ).
cnf(c_174,plain,
sum(n4,n9) = n2,
inference(cnf_transformation,[],[f79]) ).
cnf(c_175,plain,
sum(n4,n8) = n1,
inference(cnf_transformation,[],[f78]) ).
cnf(c_176,plain,
sum(n4,n7) = n0,
inference(cnf_transformation,[],[f77]) ).
cnf(c_177,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[],[f76]) ).
cnf(c_178,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[],[f75]) ).
cnf(c_179,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[],[f74]) ).
cnf(c_180,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[],[f73]) ).
cnf(c_181,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[],[f72]) ).
cnf(c_182,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[],[f71]) ).
cnf(c_183,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[],[f70]) ).
cnf(c_184,plain,
sum(n3,n10) = n2,
inference(cnf_transformation,[],[f69]) ).
cnf(c_185,plain,
sum(n3,n9) = n1,
inference(cnf_transformation,[],[f68]) ).
cnf(c_186,plain,
sum(n3,n8) = n0,
inference(cnf_transformation,[],[f67]) ).
cnf(c_187,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[],[f66]) ).
cnf(c_188,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[],[f65]) ).
cnf(c_189,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[],[f64]) ).
cnf(c_190,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[],[f63]) ).
cnf(c_191,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[],[f62]) ).
cnf(c_192,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[],[f61]) ).
cnf(c_193,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[],[f60]) ).
cnf(c_194,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[],[f59]) ).
cnf(c_195,plain,
sum(n2,n10) = n1,
inference(cnf_transformation,[],[f58]) ).
cnf(c_196,plain,
sum(n2,n9) = n0,
inference(cnf_transformation,[],[f57]) ).
cnf(c_197,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[],[f56]) ).
cnf(c_198,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[],[f55]) ).
cnf(c_199,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[],[f54]) ).
cnf(c_200,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[],[f53]) ).
cnf(c_201,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[],[f52]) ).
cnf(c_202,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[],[f51]) ).
cnf(c_203,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[],[f50]) ).
cnf(c_204,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[],[f49]) ).
cnf(c_205,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[],[f48]) ).
cnf(c_206,plain,
sum(n1,n10) = n0,
inference(cnf_transformation,[],[f47]) ).
cnf(c_207,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[],[f46]) ).
cnf(c_208,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[],[f45]) ).
cnf(c_209,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[],[f44]) ).
cnf(c_210,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[],[f43]) ).
cnf(c_211,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[],[f42]) ).
cnf(c_212,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[],[f41]) ).
cnf(c_213,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[],[f40]) ).
cnf(c_214,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[],[f39]) ).
cnf(c_215,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[],[f38]) ).
cnf(c_216,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[],[f37]) ).
cnf(c_217,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[],[f36]) ).
cnf(c_218,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[],[f35]) ).
cnf(c_219,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[],[f34]) ).
cnf(c_220,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[],[f33]) ).
cnf(c_221,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[],[f32]) ).
cnf(c_222,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[],[f31]) ).
cnf(c_223,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[],[f30]) ).
cnf(c_224,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[],[f29]) ).
cnf(c_225,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[],[f28]) ).
cnf(c_226,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[],[f27]) ).
cnf(c_227,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[],[f26]) ).
cnf(c_228,plain,
pred(n10) = n9,
inference(cnf_transformation,[],[f25]) ).
cnf(c_229,plain,
pred(n9) = n8,
inference(cnf_transformation,[],[f24]) ).
cnf(c_230,plain,
pred(n8) = n7,
inference(cnf_transformation,[],[f23]) ).
cnf(c_231,plain,
pred(n7) = n6,
inference(cnf_transformation,[],[f22]) ).
cnf(c_232,plain,
pred(n6) = n5,
inference(cnf_transformation,[],[f21]) ).
cnf(c_233,plain,
pred(n5) = n4,
inference(cnf_transformation,[],[f20]) ).
cnf(c_234,plain,
pred(n4) = n3,
inference(cnf_transformation,[],[f19]) ).
cnf(c_235,plain,
pred(n3) = n2,
inference(cnf_transformation,[],[f18]) ).
cnf(c_236,plain,
pred(n2) = n1,
inference(cnf_transformation,[],[f17]) ).
cnf(c_237,plain,
pred(n1) = n0,
inference(cnf_transformation,[],[f16]) ).
cnf(c_238,plain,
pred(n0) = n10,
inference(cnf_transformation,[],[f15]) ).
cnf(c_239,plain,
succ(n10) = n0,
inference(cnf_transformation,[],[f14]) ).
cnf(c_240,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f13]) ).
cnf(c_241,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f12]) ).
cnf(c_242,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f11]) ).
cnf(c_243,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f10]) ).
cnf(c_244,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f9]) ).
cnf(c_245,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f8]) ).
cnf(c_246,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f7]) ).
cnf(c_247,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f6]) ).
cnf(c_248,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f5]) ).
cnf(c_249,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f4]) ).
cnf(c_1214,plain,
( sum(sum(pred(sK0),succ(n0)),sum(pred(n0),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n0),succ(n0)))
| n9 = sK1
| n10 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_105,c_104]) ).
cnf(c_1215,plain,
( sum(sum(pred(sK0),n1),sum(n10,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n0)
| n9 = sK1
| n10 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(light_normalisation,[status(thm)],[c_1214,c_116,c_238,c_249]) ).
cnf(c_1249,plain,
( sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_106,c_104]) ).
cnf(c_1250,plain,
( sum(sum(n10,succ(sK1)),sum(pred(sK1),n1)) != sum(n0,sum(pred(sK1),succ(sK1)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1249,c_116,c_238,c_249]) ).
cnf(c_1284,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) != sum(sum(pred(n0),succ(n0)),n0)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1
| n1 = sK0
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_106,c_1215]) ).
cnf(c_1286,plain,
( sum(n0,n0) != sum(n0,n0)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1
| n1 = sK0
| n1 = sK1 ),
inference(light_normalisation,[status(thm)],[c_1284,c_116,c_238,c_249]) ).
cnf(c_1287,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1
| n1 = sK0
| n1 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_1286]) ).
cnf(c_1373,plain,
( sum(sum(n10,succ(n1)),sum(pred(n1),n1)) != sum(n0,sum(pred(n1),succ(n1)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_1287,c_1250]) ).
cnf(c_1378,plain,
( n2 != n2
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1373,c_115,c_215,c_225,c_226,c_237,c_248]) ).
cnf(c_1379,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1
| n1 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_1378]) ).
cnf(c_1438,plain,
( sum(sum(n10,succ(n2)),sum(pred(n2),n1)) != sum(n0,sum(pred(n2),succ(n2)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_1379,c_1250]) ).
cnf(c_1443,plain,
( n4 != n4
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1438,c_114,c_203,c_213,c_215,c_223,c_236,c_247]) ).
cnf(c_1444,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n1 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_1443]) ).
cnf(c_1518,plain,
( sum(sum(n10,succ(n3)),sum(pred(n3),n1)) != sum(n0,sum(pred(n3),succ(n3)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_1444,c_1250]) ).
cnf(c_1523,plain,
( n6 != n6
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1518,c_113,c_191,c_201,c_204,c_221,c_235,c_246]) ).
cnf(c_1524,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_1523]) ).
cnf(c_1594,plain,
( sum(sum(n10,succ(n4)),sum(pred(n4),n1)) != sum(n0,sum(pred(n4),succ(n4)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_1524,c_1250]) ).
cnf(c_1597,plain,
( n8 != n8
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1594,c_112,c_179,c_189,c_193,c_219,c_234,c_245]) ).
cnf(c_1598,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_1597]) ).
cnf(c_1664,plain,
( sum(sum(n10,succ(n5)),sum(pred(n5),n1)) != sum(n0,sum(pred(n5),succ(n5)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_1598,c_1250]) ).
cnf(c_1667,plain,
( n10 != n10
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1664,c_111,c_167,c_177,c_182,c_217,c_233,c_244]) ).
cnf(c_1668,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_1667]) ).
cnf(c_1730,plain,
( sum(sum(n10,succ(n6)),sum(pred(n6),n1)) != sum(n0,sum(pred(n6),succ(n6)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_1668,c_1250]) ).
cnf(c_1733,plain,
( n1 != n1
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1730,c_110,c_155,c_165,c_171,c_226,c_232,c_243]) ).
cnf(c_1734,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_1733]) ).
cnf(c_1792,plain,
( sum(sum(n10,succ(n7)),sum(pred(n7),n1)) != sum(n0,sum(pred(n7),succ(n7)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_1734,c_1250]) ).
cnf(c_1795,plain,
( n3 != n3
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1792,c_109,c_143,c_153,c_160,c_224,c_231,c_242]) ).
cnf(c_1796,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_1795]) ).
cnf(c_1850,plain,
( sum(sum(n10,succ(n8)),sum(pred(n8),n1)) != sum(n0,sum(pred(n8),succ(n8)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_1796,c_1250]) ).
cnf(c_1853,plain,
( n5 != n5
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1850,c_108,c_131,c_141,c_149,c_222,c_230,c_241]) ).
cnf(c_1854,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_1853]) ).
cnf(c_1904,plain,
( sum(sum(n10,succ(n10)),sum(pred(n10),n1)) != sum(n0,sum(pred(n10),succ(n10)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_1854,c_1250]) ).
cnf(c_1907,plain,
( n9 != n9
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1904,c_107,c_117,c_127,c_128,c_218,c_228,c_239]) ).
cnf(c_1908,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_1907]) ).
cnf(c_1954,plain,
( sum(sum(n10,succ(n9)),sum(pred(n9),n1)) != sum(n0,sum(pred(n9),succ(n9)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_1908,c_1250]) ).
cnf(c_1957,plain,
( n7 != n7
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1954,c_107,c_119,c_129,c_138,c_220,c_229,c_240]) ).
cnf(c_1958,plain,
( n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_1957]) ).
cnf(c_1999,plain,
( sum(sum(pred(n1),n1),sum(n10,succ(n1))) != sum(sum(pred(n1),succ(n1)),n0)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_1958,c_1215]) ).
cnf(c_2000,plain,
( sum(sum(pred(n1),succ(n1)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n1),succ(sK1)),sum(pred(sK1),succ(n1)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(superposition,[status(thm)],[c_1958,c_104]) ).
cnf(c_2001,plain,
( sum(sum(n0,succ(sK1)),sum(pred(sK1),n2)) != sum(n2,sum(pred(sK1),succ(sK1)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2000,c_225,c_237,c_248]) ).
cnf(c_2012,plain,
( n2 != n2
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1
| n1 = sK1 ),
inference(light_normalisation,[status(thm)],[c_1999,c_115,c_205,c_215,c_225,c_226,c_237,c_248]) ).
cnf(c_2013,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1
| n1 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_2012]) ).
cnf(c_2094,plain,
( sum(sum(n0,succ(n1)),sum(pred(n1),n2)) != sum(n2,sum(pred(n1),succ(n1)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1 ),
inference(superposition,[status(thm)],[c_2013,c_2001]) ).
cnf(c_2099,plain,
( sum(n2,n2) != sum(n2,n2)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1 ),
inference(light_normalisation,[status(thm)],[c_2094,c_225,c_237,c_248]) ).
cnf(c_2100,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_2099]) ).
cnf(c_2156,plain,
( sum(sum(n0,succ(n2)),sum(pred(n2),n2)) != sum(n2,sum(pred(n2),succ(n2)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0 ),
inference(superposition,[status(thm)],[c_2100,c_2001]) ).
cnf(c_2161,plain,
( n6 != n6
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2156,c_191,c_201,c_213,c_214,c_224,c_236,c_247]) ).
cnf(c_2162,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2161]) ).
cnf(c_2215,plain,
( sum(sum(n0,succ(n3)),sum(pred(n3),n2)) != sum(n2,sum(pred(n3),succ(n3)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n2 = sK0 ),
inference(superposition,[status(thm)],[c_2162,c_2001]) ).
cnf(c_2220,plain,
( n8 != n8
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n2 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2215,c_179,c_199,c_201,c_203,c_223,c_235,c_246]) ).
cnf(c_2221,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n2 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2220]) ).
cnf(c_2287,plain,
( sum(sum(n0,succ(n4)),sum(pred(n4),n2)) != sum(n2,sum(pred(n4),succ(n4)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(superposition,[status(thm)],[c_2221,c_2001]) ).
cnf(c_2290,plain,
( n10 != n10
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2287,c_167,c_189,c_192,c_197,c_222,c_234,c_245]) ).
cnf(c_2291,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2290]) ).
cnf(c_2353,plain,
( sum(sum(n0,succ(n5)),sum(pred(n5),n2)) != sum(n2,sum(pred(n5),succ(n5)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(superposition,[status(thm)],[c_2291,c_2001]) ).
cnf(c_2356,plain,
( n1 != n1
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2353,c_155,c_177,c_181,c_195,c_221,c_233,c_244]) ).
cnf(c_2357,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2356]) ).
cnf(c_2415,plain,
( sum(sum(n0,succ(n6)),sum(pred(n6),n2)) != sum(n2,sum(pred(n6),succ(n6)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(superposition,[status(thm)],[c_2357,c_2001]) ).
cnf(c_2418,plain,
( n3 != n3
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2415,c_143,c_165,c_170,c_204,c_220,c_232,c_243]) ).
cnf(c_2419,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2418]) ).
cnf(c_2473,plain,
( sum(sum(n0,succ(n7)),sum(pred(n7),n2)) != sum(n2,sum(pred(n7),succ(n7)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(superposition,[status(thm)],[c_2419,c_2001]) ).
cnf(c_2476,plain,
( n5 != n5
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2473,c_131,c_153,c_159,c_202,c_219,c_231,c_242]) ).
cnf(c_2477,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2476]) ).
cnf(c_2527,plain,
( sum(sum(n0,succ(n8)),sum(pred(n8),n2)) != sum(n2,sum(pred(n8),succ(n8)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(superposition,[status(thm)],[c_2477,c_2001]) ).
cnf(c_2530,plain,
( n7 != n7
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2527,c_119,c_141,c_148,c_200,c_218,c_230,c_241]) ).
cnf(c_2531,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2530]) ).
cnf(c_2577,plain,
( sum(sum(n0,succ(n10)),sum(pred(n10),n2)) != sum(n2,sum(pred(n10),succ(n10)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(superposition,[status(thm)],[c_2531,c_2001]) ).
cnf(c_2580,plain,
( n0 != n0
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2577,c_126,c_128,c_196,c_227,c_228,c_239]) ).
cnf(c_2581,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2580]) ).
cnf(c_2623,plain,
( sum(sum(n0,succ(n9)),sum(pred(n9),n2)) != sum(n2,sum(pred(n9),succ(n9)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(superposition,[status(thm)],[c_2581,c_2001]) ).
cnf(c_2626,plain,
( n9 != n9
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2623,c_107,c_129,c_137,c_198,c_217,c_229,c_240]) ).
cnf(c_2627,plain,
( n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2626]) ).
cnf(c_2664,plain,
( sum(sum(pred(n2),n1),sum(n10,succ(n2))) != sum(sum(pred(n2),succ(n2)),n0)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_2627,c_1215]) ).
cnf(c_2665,plain,
( sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(superposition,[status(thm)],[c_2627,c_104]) ).
cnf(c_2666,plain,
( sum(sum(n1,succ(sK1)),sum(pred(sK1),n3)) != sum(n4,sum(pred(sK1),succ(sK1)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2665,c_213,c_236,c_247]) ).
cnf(c_2676,plain,
( n4 != n4
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(light_normalisation,[status(thm)],[c_2664,c_114,c_183,c_203,c_213,c_215,c_236,c_247]) ).
cnf(c_2677,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_2676]) ).
cnf(c_2753,plain,
( sum(sum(n1,succ(n1)),sum(pred(n1),n3)) != sum(n4,sum(pred(n1),succ(n1)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK1 ),
inference(superposition,[status(thm)],[c_2677,c_2666]) ).
cnf(c_2758,plain,
( n6 != n6
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK1 ),
inference(light_normalisation,[status(thm)],[c_2753,c_181,c_191,c_214,c_224,c_225,c_237,c_248]) ).
cnf(c_2759,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_2758]) ).
cnf(c_2812,plain,
( sum(sum(n1,succ(n2)),sum(pred(n2),n3)) != sum(n4,sum(pred(n2),succ(n2)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1 ),
inference(superposition,[status(thm)],[c_2759,c_2666]) ).
cnf(c_2817,plain,
( sum(n4,n4) != sum(n4,n4)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1 ),
inference(light_normalisation,[status(thm)],[c_2812,c_213,c_236,c_247]) ).
cnf(c_2818,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_2817]) ).
cnf(c_2868,plain,
( sum(sum(n1,succ(n3)),sum(pred(n3),n3)) != sum(n4,sum(pred(n3),succ(n3)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0 ),
inference(superposition,[status(thm)],[c_2818,c_2666]) ).
cnf(c_2873,plain,
( n10 != n10
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2868,c_167,c_177,c_201,c_202,c_212,c_235,c_246]) ).
cnf(c_2874,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2873]) ).
cnf(c_2921,plain,
( sum(sum(n1,succ(n4)),sum(pred(n4),n3)) != sum(n4,sum(pred(n4),succ(n4)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n3 = sK0 ),
inference(superposition,[status(thm)],[c_2874,c_2666]) ).
cnf(c_2924,plain,
( n1 != n1
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n3 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2921,c_155,c_175,c_189,c_191,c_211,c_234,c_245]) ).
cnf(c_2925,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n3 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2924]) ).
cnf(c_2983,plain,
( sum(sum(n1,succ(n5)),sum(pred(n5),n3)) != sum(n4,sum(pred(n5),succ(n5)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(superposition,[status(thm)],[c_2925,c_2666]) ).
cnf(c_2986,plain,
( n3 != n3
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(light_normalisation,[status(thm)],[c_2983,c_143,c_173,c_177,c_180,c_210,c_233,c_244]) ).
cnf(c_2987,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_2986]) ).
cnf(c_3041,plain,
( sum(sum(n1,succ(n6)),sum(pred(n6),n3)) != sum(n4,sum(pred(n6),succ(n6)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(superposition,[status(thm)],[c_2987,c_2666]) ).
cnf(c_3044,plain,
( n5 != n5
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3041,c_131,c_165,c_169,c_182,c_209,c_232,c_243]) ).
cnf(c_3045,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3044]) ).
cnf(c_3095,plain,
( sum(sum(n1,succ(n7)),sum(pred(n7),n3)) != sum(n4,sum(pred(n7),succ(n7)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(superposition,[status(thm)],[c_3045,c_2666]) ).
cnf(c_3098,plain,
( n7 != n7
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3095,c_119,c_153,c_158,c_180,c_208,c_231,c_242]) ).
cnf(c_3099,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3098]) ).
cnf(c_3145,plain,
( sum(sum(n1,succ(n8)),sum(pred(n8),n3)) != sum(n4,sum(pred(n8),succ(n8)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(superposition,[status(thm)],[c_3099,c_2666]) ).
cnf(c_3148,plain,
( n9 != n9
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3145,c_107,c_141,c_147,c_178,c_207,c_230,c_241]) ).
cnf(c_3149,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3148]) ).
cnf(c_3191,plain,
( sum(sum(n1,succ(n10)),sum(pred(n10),n3)) != sum(n4,sum(pred(n10),succ(n10)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(superposition,[status(thm)],[c_3149,c_2666]) ).
cnf(c_3194,plain,
( n2 != n2
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3191,c_125,c_128,c_174,c_215,c_216,c_228,c_239]) ).
cnf(c_3195,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3194]) ).
cnf(c_3233,plain,
( sum(sum(n1,succ(n9)),sum(pred(n9),n3)) != sum(n4,sum(pred(n9),succ(n9)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(superposition,[status(thm)],[c_3195,c_2666]) ).
cnf(c_3236,plain,
( n0 != n0
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3233,c_129,c_136,c_176,c_206,c_227,c_229,c_240]) ).
cnf(c_3237,plain,
( n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3236]) ).
cnf(c_3270,plain,
( sum(sum(pred(n3),n1),sum(n10,succ(n3))) != sum(sum(pred(n3),succ(n3)),n0)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_3237,c_1215]) ).
cnf(c_3271,plain,
( sum(sum(pred(n3),succ(n3)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),succ(n3)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(superposition,[status(thm)],[c_3237,c_104]) ).
cnf(c_3272,plain,
( sum(sum(n2,succ(sK1)),sum(pred(sK1),n4)) != sum(n6,sum(pred(sK1),succ(sK1)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3271,c_201,c_235,c_246]) ).
cnf(c_3281,plain,
( n6 != n6
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(light_normalisation,[status(thm)],[c_3270,c_113,c_161,c_191,c_201,c_204,c_235,c_246]) ).
cnf(c_3282,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_3281]) ).
cnf(c_3353,plain,
( sum(sum(n2,succ(n1)),sum(pred(n1),n4)) != sum(n6,sum(pred(n1),succ(n1)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(superposition,[status(thm)],[c_3282,c_3272]) ).
cnf(c_3358,plain,
( n8 != n8
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(light_normalisation,[status(thm)],[c_3353,c_159,c_179,c_203,c_223,c_225,c_237,c_248]) ).
cnf(c_3359,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_3358]) ).
cnf(c_3409,plain,
( sum(sum(n2,succ(n2)),sum(pred(n2),n4)) != sum(n6,sum(pred(n2),succ(n2)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK1 ),
inference(superposition,[status(thm)],[c_3359,c_3272]) ).
cnf(c_3414,plain,
( n10 != n10
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK1 ),
inference(light_normalisation,[status(thm)],[c_3409,c_157,c_167,c_202,c_212,c_213,c_236,c_247]) ).
cnf(c_3415,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_3414]) ).
cnf(c_3462,plain,
( sum(sum(n2,succ(n3)),sum(pred(n3),n4)) != sum(n6,sum(pred(n3),succ(n3)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1 ),
inference(superposition,[status(thm)],[c_3415,c_3272]) ).
cnf(c_3467,plain,
( sum(n6,n6) != sum(n6,n6)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1 ),
inference(light_normalisation,[status(thm)],[c_3462,c_201,c_235,c_246]) ).
cnf(c_3468,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_3467]) ).
cnf(c_3512,plain,
( sum(sum(n2,succ(n4)),sum(pred(n4),n4)) != sum(n6,sum(pred(n4),succ(n4)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0 ),
inference(superposition,[status(thm)],[c_3468,c_3272]) ).
cnf(c_3515,plain,
( n3 != n3
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3512,c_143,c_153,c_189,c_190,c_200,c_234,c_245]) ).
cnf(c_3516,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3515]) ).
cnf(c_3557,plain,
( sum(sum(n2,succ(n5)),sum(pred(n5),n4)) != sum(n6,sum(pred(n5),succ(n5)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0 ),
inference(superposition,[status(thm)],[c_3516,c_3272]) ).
cnf(c_3560,plain,
( n5 != n5
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3557,c_131,c_151,c_177,c_179,c_199,c_233,c_244]) ).
cnf(c_3561,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n4 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3560]) ).
cnf(c_3611,plain,
( sum(sum(n2,succ(n6)),sum(pred(n6),n4)) != sum(n6,sum(pred(n6),succ(n6)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(superposition,[status(thm)],[c_3561,c_3272]) ).
cnf(c_3614,plain,
( n7 != n7
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3611,c_119,c_160,c_165,c_168,c_198,c_232,c_243]) ).
cnf(c_3615,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3614]) ).
cnf(c_3661,plain,
( sum(sum(n2,succ(n7)),sum(pred(n7),n4)) != sum(n6,sum(pred(n7),succ(n7)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(superposition,[status(thm)],[c_3615,c_3272]) ).
cnf(c_3664,plain,
( n9 != n9
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3661,c_107,c_153,c_157,c_158,c_197,c_231,c_242]) ).
cnf(c_3665,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3664]) ).
cnf(c_3707,plain,
( sum(sum(n2,succ(n8)),sum(pred(n8),n4)) != sum(n6,sum(pred(n8),succ(n8)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(superposition,[status(thm)],[c_3665,c_3272]) ).
cnf(c_3710,plain,
( n0 != n0
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3707,c_141,c_146,c_156,c_196,c_227,c_230,c_241]) ).
cnf(c_3711,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3710]) ).
cnf(c_3749,plain,
( sum(sum(n2,succ(n10)),sum(pred(n10),n4)) != sum(n6,sum(pred(n10),succ(n10)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(superposition,[status(thm)],[c_3711,c_3272]) ).
cnf(c_3752,plain,
( n4 != n4
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3749,c_124,c_128,c_152,c_203,c_205,c_228,c_239]) ).
cnf(c_3753,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3752]) ).
cnf(c_3787,plain,
( sum(sum(n2,succ(n9)),sum(pred(n9),n4)) != sum(n6,sum(pred(n9),succ(n9)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(superposition,[status(thm)],[c_3753,c_3272]) ).
cnf(c_3790,plain,
( n2 != n2
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3787,c_129,c_135,c_154,c_195,c_215,c_229,c_240]) ).
cnf(c_3791,plain,
( n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_3790]) ).
cnf(c_3820,plain,
( sum(sum(pred(n4),n1),sum(n10,succ(n4))) != sum(sum(pred(n4),succ(n4)),n0)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_3791,c_1215]) ).
cnf(c_3821,plain,
( sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(superposition,[status(thm)],[c_3791,c_104]) ).
cnf(c_3822,plain,
( sum(sum(n3,succ(sK1)),sum(pred(sK1),n5)) != sum(n8,sum(pred(sK1),succ(sK1)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(light_normalisation,[status(thm)],[c_3821,c_189,c_234,c_245]) ).
cnf(c_3830,plain,
( n8 != n8
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(light_normalisation,[status(thm)],[c_3820,c_112,c_139,c_179,c_189,c_193,c_234,c_245]) ).
cnf(c_3831,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_3830]) ).
cnf(c_3897,plain,
( sum(sum(n3,succ(n1)),sum(pred(n1),n5)) != sum(n8,sum(pred(n1),succ(n1)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(superposition,[status(thm)],[c_3831,c_3822]) ).
cnf(c_3902,plain,
( n10 != n10
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(light_normalisation,[status(thm)],[c_3897,c_137,c_167,c_192,c_222,c_225,c_237,c_248]) ).
cnf(c_3903,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_3902]) ).
cnf(c_3950,plain,
( sum(sum(n3,succ(n2)),sum(pred(n2),n5)) != sum(n8,sum(pred(n2),succ(n2)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(superposition,[status(thm)],[c_3903,c_3822]) ).
cnf(c_3955,plain,
( n1 != n1
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(light_normalisation,[status(thm)],[c_3950,c_135,c_155,c_191,c_211,c_213,c_236,c_247]) ).
cnf(c_3956,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_3955]) ).
cnf(c_4000,plain,
( sum(sum(n3,succ(n3)),sum(pred(n3),n5)) != sum(n8,sum(pred(n3),succ(n3)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1 ),
inference(superposition,[status(thm)],[c_3956,c_3822]) ).
cnf(c_4005,plain,
( n3 != n3
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4000,c_133,c_143,c_190,c_200,c_201,c_235,c_246]) ).
cnf(c_4006,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4005]) ).
cnf(c_4047,plain,
( sum(sum(n3,succ(n4)),sum(pred(n4),n5)) != sum(n8,sum(pred(n4),succ(n4)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1 ),
inference(superposition,[status(thm)],[c_4006,c_3822]) ).
cnf(c_4050,plain,
( sum(n8,n8) != sum(n8,n8)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4047,c_189,c_234,c_245]) ).
cnf(c_4051,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4050]) ).
cnf(c_4089,plain,
( sum(sum(n3,succ(n5)),sum(pred(n5),n5)) != sum(n8,sum(pred(n5),succ(n5)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0 ),
inference(superposition,[status(thm)],[c_4051,c_3822]) ).
cnf(c_4092,plain,
( n7 != n7
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4089,c_119,c_129,c_177,c_178,c_188,c_233,c_244]) ).
cnf(c_4093,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_4092]) ).
cnf(c_4128,plain,
( sum(sum(n3,succ(n6)),sum(pred(n6),n5)) != sum(n8,sum(pred(n6),succ(n6)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0 ),
inference(superposition,[status(thm)],[c_4093,c_3822]) ).
cnf(c_4131,plain,
( n9 != n9
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4128,c_107,c_138,c_165,c_167,c_187,c_232,c_243]) ).
cnf(c_4132,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n5 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_4131]) ).
cnf(c_4174,plain,
( sum(sum(n3,succ(n7)),sum(pred(n7),n5)) != sum(n8,sum(pred(n7),succ(n7)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(superposition,[status(thm)],[c_4132,c_3822]) ).
cnf(c_4177,plain,
( n0 != n0
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4174,c_136,c_153,c_156,c_186,c_227,c_231,c_242]) ).
cnf(c_4178,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_4177]) ).
cnf(c_4216,plain,
( sum(sum(n3,succ(n8)),sum(pred(n8),n5)) != sum(n8,sum(pred(n8),succ(n8)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(superposition,[status(thm)],[c_4178,c_3822]) ).
cnf(c_4219,plain,
( n2 != n2
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4216,c_134,c_141,c_145,c_185,c_215,c_230,c_241]) ).
cnf(c_4220,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_4219]) ).
cnf(c_4254,plain,
( sum(sum(n3,succ(n10)),sum(pred(n10),n5)) != sum(n8,sum(pred(n10),succ(n10)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(superposition,[status(thm)],[c_4220,c_3822]) ).
cnf(c_4257,plain,
( n6 != n6
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4254,c_123,c_128,c_130,c_191,c_194,c_228,c_239]) ).
cnf(c_4258,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_4257]) ).
cnf(c_4288,plain,
( sum(sum(n3,succ(n9)),sum(pred(n9),n5)) != sum(n8,sum(pred(n9),succ(n9)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(superposition,[status(thm)],[c_4258,c_3822]) ).
cnf(c_4291,plain,
( n4 != n4
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4288,c_129,c_132,c_134,c_184,c_203,c_229,c_240]) ).
cnf(c_4292,plain,
( n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_4291]) ).
cnf(c_4317,plain,
( sum(sum(pred(n5),n1),sum(n10,succ(n5))) != sum(sum(pred(n5),succ(n5)),n0)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_4292,c_1215]) ).
cnf(c_4318,plain,
( sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0 ),
inference(superposition,[status(thm)],[c_4292,c_104]) ).
cnf(c_4319,plain,
( sum(sum(n4,succ(sK1)),sum(pred(sK1),n6)) != sum(n10,sum(pred(sK1),succ(sK1)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4318,c_177,c_233,c_244]) ).
cnf(c_4326,plain,
( n10 != n10
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4317,c_111,c_117,c_167,c_177,c_182,c_233,c_244]) ).
cnf(c_4327,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4326]) ).
cnf(c_4388,plain,
( sum(sum(n4,succ(n1)),sum(pred(n1),n6)) != sum(n10,sum(pred(n1),succ(n1)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(superposition,[status(thm)],[c_4327,c_4319]) ).
cnf(c_4393,plain,
( n1 != n1
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4388,c_115,c_155,c_181,c_221,c_225,c_237,c_248]) ).
cnf(c_4394,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4393]) ).
cnf(c_4438,plain,
( sum(sum(n4,succ(n2)),sum(pred(n2),n6)) != sum(n10,sum(pred(n2),succ(n2)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(superposition,[status(thm)],[c_4394,c_4319]) ).
cnf(c_4443,plain,
( n3 != n3
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4438,c_113,c_143,c_180,c_210,c_213,c_236,c_247]) ).
cnf(c_4444,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4443]) ).
cnf(c_4485,plain,
( sum(sum(n4,succ(n3)),sum(pred(n3),n6)) != sum(n10,sum(pred(n3),succ(n3)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1 ),
inference(superposition,[status(thm)],[c_4444,c_4319]) ).
cnf(c_4490,plain,
( n5 != n5
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4485,c_111,c_131,c_179,c_199,c_201,c_235,c_246]) ).
cnf(c_4491,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1
| n4 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4490]) ).
cnf(c_4529,plain,
( sum(sum(n4,succ(n4)),sum(pred(n4),n6)) != sum(n10,sum(pred(n4),succ(n4)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1 ),
inference(superposition,[status(thm)],[c_4491,c_4319]) ).
cnf(c_4532,plain,
( n7 != n7
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4529,c_109,c_119,c_178,c_188,c_189,c_234,c_245]) ).
cnf(c_4533,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4532]) ).
cnf(c_4568,plain,
( sum(sum(n4,succ(n5)),sum(pred(n5),n6)) != sum(n10,sum(pred(n5),succ(n5)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1 ),
inference(superposition,[status(thm)],[c_4533,c_4319]) ).
cnf(c_4571,plain,
( sum(n10,n10) != sum(n10,n10)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4568,c_177,c_233,c_244]) ).
cnf(c_4572,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4571]) ).
cnf(c_4604,plain,
( sum(sum(n4,succ(n6)),sum(pred(n6),n6)) != sum(n10,sum(pred(n6),succ(n6)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0 ),
inference(superposition,[status(thm)],[c_4572,c_4319]) ).
cnf(c_4607,plain,
( n0 != n0
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4604,c_116,c_165,c_166,c_176,c_227,c_232,c_243]) ).
cnf(c_4608,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_4607]) ).
cnf(c_4637,plain,
( sum(sum(n4,succ(n7)),sum(pred(n7),n6)) != sum(n10,sum(pred(n7),succ(n7)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0 ),
inference(superposition,[status(thm)],[c_4608,c_4319]) ).
cnf(c_4640,plain,
( n2 != n2
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4637,c_114,c_153,c_155,c_175,c_215,c_231,c_242]) ).
cnf(c_4641,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n6 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_4640]) ).
cnf(c_4675,plain,
( sum(sum(n4,succ(n8)),sum(pred(n8),n6)) != sum(n10,sum(pred(n8),succ(n8)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0 ),
inference(superposition,[status(thm)],[c_4641,c_4319]) ).
cnf(c_4678,plain,
( n4 != n4
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4675,c_112,c_141,c_144,c_174,c_203,c_230,c_241]) ).
cnf(c_4679,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0
| n6 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_4678]) ).
cnf(c_4709,plain,
( sum(sum(n4,succ(n10)),sum(pred(n10),n6)) != sum(n10,sum(pred(n10),succ(n10)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0 ),
inference(superposition,[status(thm)],[c_4679,c_4319]) ).
cnf(c_4712,plain,
( n8 != n8
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4709,c_108,c_122,c_128,c_179,c_183,c_228,c_239]) ).
cnf(c_4713,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_4712]) ).
cnf(c_4739,plain,
( sum(sum(n4,succ(n9)),sum(pred(n9),n6)) != sum(n10,sum(pred(n9),succ(n9)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0 ),
inference(superposition,[status(thm)],[c_4713,c_4319]) ).
cnf(c_4742,plain,
( n6 != n6
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4739,c_110,c_129,c_133,c_173,c_191,c_229,c_240]) ).
cnf(c_4743,plain,
( n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_4742]) ).
cnf(c_4764,plain,
( sum(sum(pred(n6),n1),sum(n10,succ(n6))) != sum(sum(pred(n6),succ(n6)),n0)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_4743,c_1215]) ).
cnf(c_4765,plain,
( sum(sum(pred(n6),succ(n6)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n6),succ(sK1)),sum(pred(sK1),succ(n6)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0 ),
inference(superposition,[status(thm)],[c_4743,c_104]) ).
cnf(c_4766,plain,
( sum(sum(n5,succ(sK1)),sum(pred(sK1),n7)) != sum(n1,sum(pred(sK1),succ(sK1)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0 ),
inference(light_normalisation,[status(thm)],[c_4765,c_165,c_232,c_243]) ).
cnf(c_4772,plain,
( n1 != n1
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4764,c_110,c_155,c_165,c_171,c_216,c_232,c_243]) ).
cnf(c_4773,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4772]) ).
cnf(c_4829,plain,
( sum(sum(n5,succ(n1)),sum(pred(n1),n7)) != sum(n1,sum(pred(n1),succ(n1)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(superposition,[status(thm)],[c_4773,c_4766]) ).
cnf(c_4834,plain,
( n3 != n3
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4829,c_143,c_170,c_214,c_220,c_225,c_237,c_248]) ).
cnf(c_4835,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4834]) ).
cnf(c_4876,plain,
( sum(sum(n5,succ(n2)),sum(pred(n2),n7)) != sum(n1,sum(pred(n2),succ(n2)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(superposition,[status(thm)],[c_4835,c_4766]) ).
cnf(c_4881,plain,
( n5 != n5
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4876,c_131,c_169,c_209,c_212,c_213,c_236,c_247]) ).
cnf(c_4882,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4881]) ).
cnf(c_4920,plain,
( sum(sum(n5,succ(n3)),sum(pred(n3),n7)) != sum(n1,sum(pred(n3),succ(n3)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1 ),
inference(superposition,[status(thm)],[c_4882,c_4766]) ).
cnf(c_4925,plain,
( n7 != n7
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4920,c_119,c_168,c_198,c_201,c_210,c_235,c_246]) ).
cnf(c_4926,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4925]) ).
cnf(c_4961,plain,
( sum(sum(n5,succ(n4)),sum(pred(n4),n7)) != sum(n1,sum(pred(n4),succ(n4)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1 ),
inference(superposition,[status(thm)],[c_4926,c_4766]) ).
cnf(c_4964,plain,
( n9 != n9
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4961,c_107,c_167,c_187,c_189,c_208,c_234,c_245]) ).
cnf(c_4965,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1
| n5 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_4964]) ).
cnf(c_4997,plain,
( sum(sum(n5,succ(n5)),sum(pred(n5),n7)) != sum(n1,sum(pred(n5),succ(n5)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1 ),
inference(superposition,[status(thm)],[c_4965,c_4766]) ).
cnf(c_5000,plain,
( n0 != n0
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1 ),
inference(light_normalisation,[status(thm)],[c_4997,c_166,c_176,c_177,c_206,c_227,c_233,c_244]) ).
cnf(c_5001,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_5000]) ).
cnf(c_5030,plain,
( sum(sum(n5,succ(n6)),sum(pred(n6),n7)) != sum(n1,sum(pred(n6),succ(n6)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1 ),
inference(superposition,[status(thm)],[c_5001,c_4766]) ).
cnf(c_5033,plain,
( sum(n1,n1) != sum(n1,n1)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1 ),
inference(light_normalisation,[status(thm)],[c_5030,c_165,c_232,c_243]) ).
cnf(c_5034,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_5033]) ).
cnf(c_5060,plain,
( sum(sum(n5,succ(n7)),sum(pred(n7),n7)) != sum(n1,sum(pred(n7),succ(n7)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0 ),
inference(superposition,[status(thm)],[c_5034,c_4766]) ).
cnf(c_5063,plain,
( n4 != n4
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0 ),
inference(light_normalisation,[status(thm)],[c_5060,c_153,c_154,c_164,c_203,c_213,c_231,c_242]) ).
cnf(c_5064,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_5063]) ).
cnf(c_5087,plain,
( sum(sum(n5,succ(n8)),sum(pred(n8),n7)) != sum(n1,sum(pred(n8),succ(n8)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0 ),
inference(superposition,[status(thm)],[c_5064,c_4766]) ).
cnf(c_5090,plain,
( n6 != n6
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0 ),
inference(light_normalisation,[status(thm)],[c_5087,c_141,c_143,c_163,c_191,c_211,c_230,c_241]) ).
cnf(c_5091,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n7 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_5090]) ).
cnf(c_5117,plain,
( sum(sum(n5,succ(n10)),sum(pred(n10),n7)) != sum(n1,sum(pred(n10),succ(n10)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0 ),
inference(superposition,[status(thm)],[c_5091,c_4766]) ).
cnf(c_5120,plain,
( n10 != n10
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0 ),
inference(light_normalisation,[status(thm)],[c_5117,c_121,c_128,c_167,c_172,c_207,c_228,c_239]) ).
cnf(c_5121,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n8 = sK0
| n7 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_5120]) ).
cnf(c_5143,plain,
( sum(sum(n5,succ(n9)),sum(pred(n9),n7)) != sum(n1,sum(pred(n9),succ(n9)))
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0 ),
inference(superposition,[status(thm)],[c_5121,c_4766]) ).
cnf(c_5146,plain,
( n8 != n8
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0 ),
inference(light_normalisation,[status(thm)],[c_5143,c_129,c_132,c_162,c_179,c_209,c_229,c_240]) ).
cnf(c_5147,plain,
( n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0 ),
inference(equality_resolution_simp,[status(thm)],[c_5146]) ).
cnf(c_5164,plain,
( sum(sum(pred(n7),n1),sum(n10,succ(n7))) != sum(sum(pred(n7),succ(n7)),n0)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_5147,c_1215]) ).
cnf(c_5165,plain,
( sum(sum(pred(n7),succ(n7)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),succ(n7)))
| n9 = sK0
| n10 = sK0
| n8 = sK0 ),
inference(superposition,[status(thm)],[c_5147,c_104]) ).
cnf(c_5166,plain,
( sum(sum(n6,succ(sK1)),sum(pred(sK1),n8)) != sum(n3,sum(pred(sK1),succ(sK1)))
| n9 = sK0
| n10 = sK0
| n8 = sK0 ),
inference(light_normalisation,[status(thm)],[c_5165,c_153,c_231,c_242]) ).
cnf(c_5171,plain,
( n3 != n3
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(light_normalisation,[status(thm)],[c_5164,c_109,c_143,c_153,c_160,c_194,c_231,c_242]) ).
cnf(c_5172,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_5171]) ).
cnf(c_5223,plain,
( sum(sum(n6,succ(n1)),sum(pred(n1),n8)) != sum(n3,sum(pred(n1),succ(n1)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(superposition,[status(thm)],[c_5172,c_5166]) ).
cnf(c_5228,plain,
( n5 != n5
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(light_normalisation,[status(thm)],[c_5223,c_131,c_159,c_192,c_219,c_225,c_237,c_248]) ).
cnf(c_5229,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_5228]) ).
cnf(c_5267,plain,
( sum(sum(n6,succ(n2)),sum(pred(n2),n8)) != sum(n3,sum(pred(n2),succ(n2)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(superposition,[status(thm)],[c_5229,c_5166]) ).
cnf(c_5272,plain,
( n7 != n7
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(light_normalisation,[status(thm)],[c_5267,c_119,c_158,c_190,c_208,c_213,c_236,c_247]) ).
cnf(c_5273,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_5272]) ).
cnf(c_5308,plain,
( sum(sum(n6,succ(n3)),sum(pred(n3),n8)) != sum(n3,sum(pred(n3),succ(n3)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1 ),
inference(superposition,[status(thm)],[c_5273,c_5166]) ).
cnf(c_5313,plain,
( n9 != n9
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1 ),
inference(light_normalisation,[status(thm)],[c_5308,c_107,c_157,c_188,c_197,c_201,c_235,c_246]) ).
cnf(c_5314,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_5313]) ).
cnf(c_5346,plain,
( sum(sum(n6,succ(n4)),sum(pred(n4),n8)) != sum(n3,sum(pred(n4),succ(n4)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1 ),
inference(superposition,[status(thm)],[c_5314,c_5166]) ).
cnf(c_5349,plain,
( n0 != n0
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1 ),
inference(light_normalisation,[status(thm)],[c_5346,c_156,c_186,c_189,c_227,c_234,c_245]) ).
cnf(c_5350,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_5349]) ).
cnf(c_5379,plain,
( sum(sum(n6,succ(n5)),sum(pred(n5),n8)) != sum(n3,sum(pred(n5),succ(n5)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1 ),
inference(superposition,[status(thm)],[c_5350,c_5166]) ).
cnf(c_5382,plain,
( n2 != n2
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1 ),
inference(light_normalisation,[status(thm)],[c_5379,c_155,c_175,c_177,c_184,c_215,c_233,c_244]) ).
cnf(c_5383,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1
| n6 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_5382]) ).
cnf(c_5409,plain,
( sum(sum(n6,succ(n6)),sum(pred(n6),n8)) != sum(n3,sum(pred(n6),succ(n6)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1 ),
inference(superposition,[status(thm)],[c_5383,c_5166]) ).
cnf(c_5412,plain,
( n4 != n4
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1 ),
inference(light_normalisation,[status(thm)],[c_5409,c_154,c_164,c_165,c_193,c_203,c_232,c_243]) ).
cnf(c_5413,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_5412]) ).
cnf(c_5436,plain,
( sum(sum(n6,succ(n7)),sum(pred(n7),n8)) != sum(n3,sum(pred(n7),succ(n7)))
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1 ),
inference(superposition,[status(thm)],[c_5413,c_5166]) ).
cnf(c_5439,plain,
( sum(n3,n3) != sum(n3,n3)
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1 ),
inference(light_normalisation,[status(thm)],[c_5436,c_153,c_231,c_242]) ).
cnf(c_5440,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_5439]) ).
cnf(c_5453,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_5440,c_5166,c_5147,c_1215,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_225,c_219,c_218,c_217,c_216,c_215,c_213,c_208,c_207,c_206,c_205,c_203,c_201,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_179,c_177,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_109,c_108,c_107,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 19:37:50 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.76/1.17 % SZS status Started for theBenchmark.p
% 2.76/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.76/1.17
% 2.76/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.76/1.17
% 2.76/1.17 ------ iProver source info
% 2.76/1.17
% 2.76/1.17 git: date: 2024-05-02 19:28:25 +0000
% 2.76/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.76/1.17 git: non_committed_changes: false
% 2.76/1.17
% 2.76/1.17 ------ Parsing...
% 2.76/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.76/1.17
% 2.76/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.76/1.17
% 2.76/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.76/1.17
% 2.76/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.76/1.17 ------ Proving...
% 2.76/1.17 ------ Problem Properties
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17 clauses 201
% 2.76/1.17 conjectures 0
% 2.76/1.17 EPR 57
% 2.76/1.17 Horn 199
% 2.76/1.17 unary 199
% 2.76/1.17 binary 0
% 2.76/1.17 lits 221
% 2.76/1.17 lits eq 221
% 2.76/1.17 fd_pure 0
% 2.76/1.17 fd_pseudo 0
% 2.76/1.17 fd_cond 0
% 2.76/1.17 fd_pseudo_cond 0
% 2.76/1.17 AC symbols 0
% 2.76/1.17
% 2.76/1.17 ------ Schedule dynamic 5 is on
% 2.76/1.17
% 2.76/1.17 ------ no conjectures: strip conj schedule
% 2.76/1.17
% 2.76/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17 ------
% 2.76/1.17 Current options:
% 2.76/1.17 ------
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17 ------ Proving...
% 2.76/1.17
% 2.76/1.17
% 2.76/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.76/1.17
% 2.76/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.76/1.17
% 2.76/1.17
%------------------------------------------------------------------------------