%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM376+1.010 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:45:37 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(try_satisfy_this,axiom,
? [X1,X2] :
( 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(X1),succ(X2)),sum(pred(X2),succ(X1))) != sum(sum(pred(X1),succ(X1)),sum(pred(X2),succ(X2)))
& ( X2 = n10
| X2 = n9
| X2 = n8
| X2 = n7
| X2 = n6
| X2 = n5
| X2 = n4
| X2 = n3
| X2 = n2
| X2 = n1
| X2 = n0 )
& ( X1 = n10
| X1 = n9
| X1 = n8
| X1 = n7
| X1 = n6
| X1 = n5
| X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0 )
& sum(n10,n10) = n9
& sum(n10,n9) = n8
& sum(n10,n8) = n7
& sum(n10,n7) = n6
& sum(n10,n6) = n5
& sum(n10,n5) = n4
& sum(n10,n4) = n3
& sum(n10,n3) = n2
& sum(n10,n2) = n1
& sum(n10,n1) = n0
& sum(n10,n0) = n10
& sum(n9,n10) = n8
& sum(n9,n9) = n7
& sum(n9,n8) = n6
& sum(n9,n7) = n5
& sum(n9,n6) = n4
& sum(n9,n5) = n3
& sum(n9,n4) = n2
& sum(n9,n3) = n1
& sum(n9,n2) = n0
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n10) = n7
& sum(n8,n9) = n6
& sum(n8,n8) = n5
& sum(n8,n7) = n4
& sum(n8,n6) = n3
& sum(n8,n5) = n2
& sum(n8,n4) = n1
& sum(n8,n3) = n0
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n10) = n6
& sum(n7,n9) = n5
& sum(n7,n8) = n4
& sum(n7,n7) = n3
& sum(n7,n6) = n2
& sum(n7,n5) = n1
& sum(n7,n4) = n0
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n10) = n5
& sum(n6,n9) = n4
& sum(n6,n8) = n3
& sum(n6,n7) = n2
& sum(n6,n6) = n1
& sum(n6,n5) = n0
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n10) = n4
& sum(n5,n9) = n3
& sum(n5,n8) = n2
& sum(n5,n7) = n1
& sum(n5,n6) = n0
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n10) = n3
& sum(n4,n9) = n2
& sum(n4,n8) = n1
& sum(n4,n7) = n0
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n10) = n2
& sum(n3,n9) = n1
& sum(n3,n8) = n0
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n10) = n1
& sum(n2,n9) = n0
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n10) = n0
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n10
& succ(n10) = n0
& 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(c_0_1,plain,
? [X1,X2] :
( 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(X1),succ(X2)),sum(pred(X2),succ(X1))) != sum(sum(pred(X1),succ(X1)),sum(pred(X2),succ(X2)))
& ( X2 = n10
| X2 = n9
| X2 = n8
| X2 = n7
| X2 = n6
| X2 = n5
| X2 = n4
| X2 = n3
| X2 = n2
| X2 = n1
| X2 = n0 )
& ( X1 = n10
| X1 = n9
| X1 = n8
| X1 = n7
| X1 = n6
| X1 = n5
| X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0 )
& sum(n10,n10) = n9
& sum(n10,n9) = n8
& sum(n10,n8) = n7
& sum(n10,n7) = n6
& sum(n10,n6) = n5
& sum(n10,n5) = n4
& sum(n10,n4) = n3
& sum(n10,n3) = n2
& sum(n10,n2) = n1
& sum(n10,n1) = n0
& sum(n10,n0) = n10
& sum(n9,n10) = n8
& sum(n9,n9) = n7
& sum(n9,n8) = n6
& sum(n9,n7) = n5
& sum(n9,n6) = n4
& sum(n9,n5) = n3
& sum(n9,n4) = n2
& sum(n9,n3) = n1
& sum(n9,n2) = n0
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n10) = n7
& sum(n8,n9) = n6
& sum(n8,n8) = n5
& sum(n8,n7) = n4
& sum(n8,n6) = n3
& sum(n8,n5) = n2
& sum(n8,n4) = n1
& sum(n8,n3) = n0
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n10) = n6
& sum(n7,n9) = n5
& sum(n7,n8) = n4
& sum(n7,n7) = n3
& sum(n7,n6) = n2
& sum(n7,n5) = n1
& sum(n7,n4) = n0
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n10) = n5
& sum(n6,n9) = n4
& sum(n6,n8) = n3
& sum(n6,n7) = n2
& sum(n6,n6) = n1
& sum(n6,n5) = n0
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n10) = n4
& sum(n5,n9) = n3
& sum(n5,n8) = n2
& sum(n5,n7) = n1
& sum(n5,n6) = n0
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n10) = n3
& sum(n4,n9) = n2
& sum(n4,n8) = n1
& sum(n4,n7) = n0
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n10) = n2
& sum(n3,n9) = n1
& sum(n3,n8) = n0
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n10) = n1
& sum(n2,n9) = n0
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n10) = n0
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n10
& succ(n10) = n0
& 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(fof_simplification,[status(thm)],[try_satisfy_this]) ).
fof(c_0_2,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(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0)))
& ( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk2_0 = n0 )
& ( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk1_0 = n0 )
& sum(n10,n10) = n9
& sum(n10,n9) = n8
& sum(n10,n8) = n7
& sum(n10,n7) = n6
& sum(n10,n6) = n5
& sum(n10,n5) = n4
& sum(n10,n4) = n3
& sum(n10,n3) = n2
& sum(n10,n2) = n1
& sum(n10,n1) = n0
& sum(n10,n0) = n10
& sum(n9,n10) = n8
& sum(n9,n9) = n7
& sum(n9,n8) = n6
& sum(n9,n7) = n5
& sum(n9,n6) = n4
& sum(n9,n5) = n3
& sum(n9,n4) = n2
& sum(n9,n3) = n1
& sum(n9,n2) = n0
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n10) = n7
& sum(n8,n9) = n6
& sum(n8,n8) = n5
& sum(n8,n7) = n4
& sum(n8,n6) = n3
& sum(n8,n5) = n2
& sum(n8,n4) = n1
& sum(n8,n3) = n0
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n10) = n6
& sum(n7,n9) = n5
& sum(n7,n8) = n4
& sum(n7,n7) = n3
& sum(n7,n6) = n2
& sum(n7,n5) = n1
& sum(n7,n4) = n0
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n10) = n5
& sum(n6,n9) = n4
& sum(n6,n8) = n3
& sum(n6,n7) = n2
& sum(n6,n6) = n1
& sum(n6,n5) = n0
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n10) = n4
& sum(n5,n9) = n3
& sum(n5,n8) = n2
& sum(n5,n7) = n1
& sum(n5,n6) = n0
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n10) = n3
& sum(n4,n9) = n2
& sum(n4,n8) = n1
& sum(n4,n7) = n0
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n10) = n2
& sum(n3,n9) = n1
& sum(n3,n8) = n0
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n10) = n1
& sum(n2,n9) = n0
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n10) = n0
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n10
& succ(n10) = n0
& 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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3,plain,
sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk1_0 = n0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,plain,
pred(n0) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,plain,
sum(n10,n1) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,plain,
( sum(sum(n10,succ(esk2_0)),sum(pred(esk2_0),n1)) != sum(n0,sum(pred(esk2_0),succ(esk2_0)))
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9
| esk1_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),c_0_6]),c_0_5]),c_0_6]),c_0_7]) ).
cnf(c_0_9,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk2_0 = n0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,plain,
sum(n0,n0) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_6]),c_0_7]),c_0_5]),c_0_7]),c_0_10]),c_0_5]),c_0_6]),c_0_7]),c_0_10])]) ).
cnf(c_0_12,plain,
succ(n10) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,plain,
sum(n10,n0) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,plain,
pred(n10) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,plain,
sum(n9,n1) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,plain,
sum(n10,n10) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,plain,
sum(n9,n0) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,plain,
sum(n0,n9) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_14]),c_0_12]),c_0_17]),c_0_18])]) ).
cnf(c_0_20,plain,
succ(n9) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,plain,
pred(n9) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22,plain,
sum(n8,n1) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,plain,
sum(n9,n9) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_24,plain,
sum(n8,n10) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_25,plain,
sum(n0,n7) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_19]),c_0_20]),c_0_16]),c_0_21]),c_0_22]),c_0_23]),c_0_21]),c_0_20]),c_0_24]),c_0_25])]) ).
cnf(c_0_27,plain,
succ(n8) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,plain,
sum(n10,n9) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,plain,
pred(n8) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,plain,
sum(n7,n1) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_31,plain,
sum(n8,n8) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_32,plain,
sum(n7,n9) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_33,plain,
sum(n0,n5) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_34,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_29]),c_0_27]),c_0_32]),c_0_33])]) ).
cnf(c_0_35,plain,
succ(n7) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,plain,
sum(n10,n8) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_37,plain,
pred(n7) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_38,plain,
sum(n6,n1) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_39,plain,
sum(n7,n7) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,plain,
sum(n6,n8) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,plain,
sum(n0,n3) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_37]),c_0_35]),c_0_40]),c_0_41])]) ).
cnf(c_0_43,plain,
succ(n6) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_44,plain,
sum(n10,n7) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,plain,
pred(n6) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,plain,
sum(n5,n1) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_47,plain,
sum(n6,n6) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_48,plain,
sum(n5,n7) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_49,plain,
sum(n0,n1) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_50,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_45]),c_0_43]),c_0_48]),c_0_49])]) ).
cnf(c_0_51,plain,
succ(n5) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_52,plain,
sum(n10,n6) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_53,plain,
pred(n5) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_54,plain,
sum(n4,n1) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_55,plain,
sum(n5,n5) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_56,plain,
sum(n4,n6) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_57,plain,
sum(n0,n10) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_58,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_53]),c_0_51]),c_0_56]),c_0_57])]) ).
cnf(c_0_59,plain,
succ(n4) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_60,plain,
sum(n10,n5) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_61,plain,
pred(n4) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_62,plain,
sum(n3,n1) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_63,plain,
sum(n4,n4) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_64,plain,
sum(n3,n5) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_65,plain,
sum(n0,n8) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_66,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63]),c_0_61]),c_0_59]),c_0_64]),c_0_65])]) ).
cnf(c_0_67,plain,
succ(n3) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_68,plain,
sum(n10,n4) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_69,plain,
pred(n3) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_70,plain,
sum(n2,n1) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_71,plain,
sum(n3,n3) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_72,plain,
sum(n2,n4) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_73,plain,
sum(n0,n6) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_74,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_69]),c_0_67]),c_0_72]),c_0_73])]) ).
cnf(c_0_75,plain,
succ(n2) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_76,plain,
sum(n10,n3) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_77,plain,
pred(n2) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_78,plain,
sum(n1,n1) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_79,plain,
sum(n2,n2) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_80,plain,
sum(n1,n3) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_81,plain,
sum(n0,n4) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_82,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_77]),c_0_75]),c_0_80]),c_0_81])]) ).
cnf(c_0_83,plain,
succ(n1) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_84,plain,
sum(n10,n2) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_85,plain,
pred(n1) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_86,plain,
sum(n0,n2) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_87,plain,
( esk1_0 = n10
| esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_49]),c_0_78]),c_0_85]),c_0_83]),c_0_86]),c_0_86])]) ).
cnf(c_0_88,plain,
( sum(sum(pred(esk1_0),n1),sum(n10,succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),n0)
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9
| esk2_0 = n10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_9]),c_0_6]),c_0_5]),c_0_5]),c_0_6]),c_0_7]) ).
cnf(c_0_89,plain,
( sum(sum(n9,succ(esk2_0)),sum(pred(esk2_0),n0)) != sum(n9,sum(pred(esk2_0),succ(esk2_0)))
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_87]),c_0_14]),c_0_12]),c_0_14]),c_0_12]),c_0_17]) ).
cnf(c_0_90,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8
| esk1_0 = n9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_87]),c_0_14]),c_0_15]),c_0_12]),c_0_13]),c_0_16]),c_0_14]),c_0_12]),c_0_17]),c_0_17])]) ).
cnf(c_0_91,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_12]),c_0_17]),c_0_14]),c_0_17]),c_0_23]),c_0_14]),c_0_12]),c_0_17]),c_0_23])]) ).
cnf(c_0_92,plain,
sum(n9,n10) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_93,plain,
sum(n8,n0) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_94,plain,
sum(n9,n7) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_95,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_91]),c_0_20]),c_0_92]),c_0_21]),c_0_93]),c_0_31]),c_0_21]),c_0_20]),c_0_24]),c_0_94])]) ).
cnf(c_0_96,plain,
sum(n7,n0) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_97,plain,
sum(n9,n5) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_98,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_95]),c_0_27]),c_0_23]),c_0_29]),c_0_96]),c_0_39]),c_0_29]),c_0_27]),c_0_32]),c_0_97])]) ).
cnf(c_0_99,plain,
sum(n9,n8) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_100,plain,
sum(n6,n0) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_101,plain,
sum(n9,n3) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_102,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_98]),c_0_35]),c_0_99]),c_0_37]),c_0_100]),c_0_47]),c_0_37]),c_0_35]),c_0_40]),c_0_101])]) ).
cnf(c_0_103,plain,
sum(n5,n0) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_104,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_102]),c_0_43]),c_0_94]),c_0_45]),c_0_103]),c_0_55]),c_0_45]),c_0_43]),c_0_48]),c_0_15])]) ).
cnf(c_0_105,plain,
sum(n9,n6) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_106,plain,
sum(n4,n0) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_107,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_104]),c_0_51]),c_0_105]),c_0_53]),c_0_106]),c_0_63]),c_0_53]),c_0_51]),c_0_56]),c_0_92])]) ).
cnf(c_0_108,plain,
sum(n3,n0) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_109,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_107]),c_0_59]),c_0_97]),c_0_61]),c_0_108]),c_0_71]),c_0_61]),c_0_59]),c_0_64]),c_0_99])]) ).
cnf(c_0_110,plain,
sum(n9,n4) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_111,plain,
sum(n2,n0) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_112,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_109]),c_0_67]),c_0_110]),c_0_69]),c_0_111]),c_0_79]),c_0_69]),c_0_67]),c_0_72]),c_0_105])]) ).
cnf(c_0_113,plain,
sum(n1,n0) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_114,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_112]),c_0_75]),c_0_101]),c_0_77]),c_0_113]),c_0_78]),c_0_77]),c_0_75]),c_0_80]),c_0_110])]) ).
cnf(c_0_115,plain,
sum(n9,n2) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_116,plain,
( esk1_0 = n9
| esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_114]),c_0_83]),c_0_115]),c_0_85]),c_0_10]),c_0_10]),c_0_85]),c_0_83]),c_0_86]),c_0_115])]) ).
cnf(c_0_117,plain,
( sum(sum(n8,succ(esk2_0)),sum(pred(esk2_0),n10)) != sum(n7,sum(pred(esk2_0),succ(esk2_0)))
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_116]),c_0_21]),c_0_20]),c_0_21]),c_0_20]),c_0_24]) ).
cnf(c_0_118,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7
| esk1_0 = n8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_116]),c_0_21]),c_0_22]),c_0_20]),c_0_16]),c_0_23]),c_0_21]),c_0_20]),c_0_24]),c_0_96])]) ).
cnf(c_0_119,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_12]),c_0_93]),c_0_14]),c_0_92]),c_0_31]),c_0_14]),c_0_12]),c_0_17]),c_0_32])]) ).
cnf(c_0_120,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_119]),c_0_20]),c_0_24]),c_0_21]),c_0_24]),c_0_39]),c_0_21]),c_0_20]),c_0_24]),c_0_39])]) ).
cnf(c_0_121,plain,
sum(n8,n9) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_122,plain,
sum(n7,n10) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_123,plain,
sum(n7,n5) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_124,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_120]),c_0_27]),c_0_121]),c_0_29]),c_0_122]),c_0_47]),c_0_29]),c_0_27]),c_0_32]),c_0_123])]) ).
cnf(c_0_125,plain,
sum(n6,n10) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_126,plain,
sum(n7,n3) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_127,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_124]),c_0_35]),c_0_31]),c_0_37]),c_0_125]),c_0_55]),c_0_37]),c_0_35]),c_0_40]),c_0_126])]) ).
cnf(c_0_128,plain,
sum(n8,n7) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_129,plain,
sum(n5,n10) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_130,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_127]),c_0_43]),c_0_128]),c_0_45]),c_0_129]),c_0_63]),c_0_45]),c_0_43]),c_0_48]),c_0_30])]) ).
cnf(c_0_131,plain,
sum(n8,n6) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_132,plain,
sum(n4,n10) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_133,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_130]),c_0_51]),c_0_131]),c_0_53]),c_0_132]),c_0_71]),c_0_53]),c_0_51]),c_0_56]),c_0_122])]) ).
cnf(c_0_134,plain,
sum(n8,n5) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_135,plain,
sum(n3,n10) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_136,plain,
sum(n7,n8) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_137,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_133]),c_0_59]),c_0_134]),c_0_61]),c_0_135]),c_0_79]),c_0_61]),c_0_59]),c_0_64]),c_0_136])]) ).
cnf(c_0_138,plain,
sum(n8,n4) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_139,plain,
sum(n2,n10) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_140,plain,
sum(n7,n6) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_141,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_137]),c_0_67]),c_0_138]),c_0_69]),c_0_139]),c_0_78]),c_0_69]),c_0_67]),c_0_72]),c_0_140])]) ).
cnf(c_0_142,plain,
sum(n8,n3) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_143,plain,
sum(n1,n10) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_144,plain,
sum(n7,n4) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_145,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_141]),c_0_75]),c_0_142]),c_0_77]),c_0_143]),c_0_10]),c_0_77]),c_0_75]),c_0_80]),c_0_144])]) ).
cnf(c_0_146,plain,
sum(n8,n2) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_147,plain,
sum(n7,n2) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_148,plain,
( esk1_0 = n8
| esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_145]),c_0_83]),c_0_146]),c_0_85]),c_0_57]),c_0_16]),c_0_85]),c_0_83]),c_0_86]),c_0_147])]) ).
cnf(c_0_149,plain,
( sum(sum(n7,succ(esk2_0)),sum(pred(esk2_0),n9)) != sum(n5,sum(pred(esk2_0),succ(esk2_0)))
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_148]),c_0_29]),c_0_27]),c_0_29]),c_0_27]),c_0_32]) ).
cnf(c_0_150,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6
| esk1_0 = n7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_148]),c_0_29]),c_0_30]),c_0_27]),c_0_28]),c_0_31]),c_0_29]),c_0_27]),c_0_32]),c_0_103])]) ).
cnf(c_0_151,plain,
sum(n5,n9) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_152,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_12]),c_0_96]),c_0_14]),c_0_23]),c_0_39]),c_0_14]),c_0_12]),c_0_17]),c_0_151])]) ).
cnf(c_0_153,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_152]),c_0_20]),c_0_122]),c_0_21]),c_0_121]),c_0_47]),c_0_21]),c_0_20]),c_0_24]),c_0_48])]) ).
cnf(c_0_154,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_153]),c_0_27]),c_0_32]),c_0_29]),c_0_32]),c_0_55]),c_0_29]),c_0_27]),c_0_32]),c_0_55])]) ).
cnf(c_0_155,plain,
sum(n6,n9) = n4,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_156,plain,
sum(n5,n3) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_157,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_154]),c_0_35]),c_0_136]),c_0_37]),c_0_155]),c_0_63]),c_0_37]),c_0_35]),c_0_40]),c_0_156])]) ).
cnf(c_0_158,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_157]),c_0_43]),c_0_39]),c_0_45]),c_0_151]),c_0_71]),c_0_45]),c_0_43]),c_0_48]),c_0_46])]) ).
cnf(c_0_159,plain,
sum(n4,n9) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_160,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_158]),c_0_51]),c_0_140]),c_0_53]),c_0_159]),c_0_79]),c_0_53]),c_0_51]),c_0_56]),c_0_129])]) ).
cnf(c_0_161,plain,
sum(n3,n9) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_162,plain,
sum(n5,n8) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_163,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_160]),c_0_59]),c_0_123]),c_0_61]),c_0_161]),c_0_78]),c_0_61]),c_0_59]),c_0_64]),c_0_162])]) ).
cnf(c_0_164,plain,
sum(n2,n9) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_165,plain,
sum(n5,n6) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_166,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_163]),c_0_67]),c_0_144]),c_0_69]),c_0_164]),c_0_10]),c_0_69]),c_0_67]),c_0_72]),c_0_165])]) ).
cnf(c_0_167,plain,
sum(n1,n9) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_168,plain,
sum(n5,n4) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_169,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_166]),c_0_75]),c_0_126]),c_0_77]),c_0_167]),c_0_16]),c_0_77]),c_0_75]),c_0_80]),c_0_168])]) ).
cnf(c_0_170,plain,
sum(n5,n2) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_171,plain,
( esk1_0 = n7
| esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_169]),c_0_83]),c_0_147]),c_0_85]),c_0_18]),c_0_23]),c_0_85]),c_0_83]),c_0_86]),c_0_170])]) ).
cnf(c_0_172,plain,
( sum(sum(n6,succ(esk2_0)),sum(pred(esk2_0),n8)) != sum(n3,sum(pred(esk2_0),succ(esk2_0)))
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_171]),c_0_37]),c_0_35]),c_0_37]),c_0_35]),c_0_40]) ).
cnf(c_0_173,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5
| esk1_0 = n6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_171]),c_0_37]),c_0_38]),c_0_35]),c_0_36]),c_0_39]),c_0_37]),c_0_35]),c_0_40]),c_0_108])]) ).
cnf(c_0_174,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_12]),c_0_100]),c_0_14]),c_0_99]),c_0_47]),c_0_14]),c_0_12]),c_0_17]),c_0_161])]) ).
cnf(c_0_175,plain,
sum(n3,n7) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_176,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_174]),c_0_20]),c_0_125]),c_0_21]),c_0_31]),c_0_55]),c_0_21]),c_0_20]),c_0_24]),c_0_175])]) ).
cnf(c_0_177,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_176]),c_0_27]),c_0_155]),c_0_29]),c_0_136]),c_0_63]),c_0_29]),c_0_27]),c_0_32]),c_0_64])]) ).
cnf(c_0_178,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_177]),c_0_35]),c_0_40]),c_0_37]),c_0_40]),c_0_71]),c_0_37]),c_0_35]),c_0_40]),c_0_71])]) ).
cnf(c_0_179,plain,
sum(n6,n7) = n2,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_180,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_178]),c_0_43]),c_0_179]),c_0_45]),c_0_162]),c_0_79]),c_0_45]),c_0_43]),c_0_48]),c_0_62])]) ).
cnf(c_0_181,plain,
sum(n4,n8) = n1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_182,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_180]),c_0_51]),c_0_47]),c_0_53]),c_0_181]),c_0_78]),c_0_53]),c_0_51]),c_0_56]),c_0_135])]) ).
cnf(c_0_183,plain,
sum(n6,n5) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_184,plain,
sum(n3,n8) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_185,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_182]),c_0_59]),c_0_183]),c_0_61]),c_0_184]),c_0_10]),c_0_61]),c_0_59]),c_0_64]),c_0_184])]) ).
cnf(c_0_186,plain,
sum(n6,n4) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_187,plain,
sum(n2,n8) = n10,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_188,plain,
sum(n3,n6) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_189,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_185]),c_0_67]),c_0_186]),c_0_69]),c_0_187]),c_0_16]),c_0_69]),c_0_67]),c_0_72]),c_0_188])]) ).
cnf(c_0_190,plain,
sum(n6,n3) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_191,plain,
sum(n1,n8) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_192,plain,
sum(n3,n4) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_193,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_189]),c_0_75]),c_0_190]),c_0_77]),c_0_191]),c_0_23]),c_0_77]),c_0_75]),c_0_80]),c_0_192])]) ).
cnf(c_0_194,plain,
sum(n6,n2) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_195,plain,
sum(n3,n2) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_196,plain,
( esk1_0 = n6
| esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_193]),c_0_83]),c_0_194]),c_0_85]),c_0_65]),c_0_31]),c_0_85]),c_0_83]),c_0_86]),c_0_195])]) ).
cnf(c_0_197,plain,
( sum(sum(n5,succ(esk2_0)),sum(pred(esk2_0),n7)) != sum(n1,sum(pred(esk2_0),succ(esk2_0)))
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_196]),c_0_45]),c_0_43]),c_0_45]),c_0_43]),c_0_48]) ).
cnf(c_0_198,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4
| esk1_0 = n5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_196]),c_0_45]),c_0_46]),c_0_43]),c_0_44]),c_0_47]),c_0_45]),c_0_43]),c_0_48]),c_0_113])]) ).
cnf(c_0_199,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_12]),c_0_103]),c_0_14]),c_0_94]),c_0_55]),c_0_14]),c_0_12]),c_0_17]),c_0_167])]) ).
cnf(c_0_200,plain,
sum(n1,n7) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_201,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_199]),c_0_20]),c_0_129]),c_0_21]),c_0_128]),c_0_63]),c_0_21]),c_0_20]),c_0_24]),c_0_200])]) ).
cnf(c_0_202,plain,
sum(n1,n5) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_203,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_201]),c_0_27]),c_0_151]),c_0_29]),c_0_39]),c_0_71]),c_0_29]),c_0_27]),c_0_32]),c_0_202])]) ).
cnf(c_0_204,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_203]),c_0_35]),c_0_162]),c_0_37]),c_0_179]),c_0_79]),c_0_37]),c_0_35]),c_0_40]),c_0_80])]) ).
cnf(c_0_205,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_204]),c_0_43]),c_0_48]),c_0_45]),c_0_48]),c_0_78]),c_0_45]),c_0_43]),c_0_48]),c_0_78])]) ).
cnf(c_0_206,plain,
sum(n4,n7) = n0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_207,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_205]),c_0_51]),c_0_165]),c_0_53]),c_0_206]),c_0_10]),c_0_53]),c_0_51]),c_0_56]),c_0_143])]) ).
cnf(c_0_208,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_207]),c_0_59]),c_0_55]),c_0_61]),c_0_175]),c_0_16]),c_0_61]),c_0_59]),c_0_64]),c_0_191])]) ).
cnf(c_0_209,plain,
sum(n2,n7) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_210,plain,
sum(n1,n6) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_211,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_208]),c_0_67]),c_0_168]),c_0_69]),c_0_209]),c_0_23]),c_0_69]),c_0_67]),c_0_72]),c_0_210])]) ).
cnf(c_0_212,plain,
sum(n1,n4) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_213,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_211]),c_0_75]),c_0_156]),c_0_77]),c_0_200]),c_0_31]),c_0_77]),c_0_75]),c_0_80]),c_0_212])]) ).
cnf(c_0_214,plain,
sum(n1,n2) = n3,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_215,plain,
( esk1_0 = n5
| esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_213]),c_0_83]),c_0_170]),c_0_85]),c_0_25]),c_0_39]),c_0_85]),c_0_83]),c_0_86]),c_0_214])]) ).
cnf(c_0_216,plain,
( sum(sum(n4,succ(esk2_0)),sum(pred(esk2_0),n6)) != sum(n10,sum(pred(esk2_0),succ(esk2_0)))
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_215]),c_0_53]),c_0_51]),c_0_53]),c_0_51]),c_0_56]) ).
cnf(c_0_217,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3
| esk1_0 = n4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_215]),c_0_53]),c_0_54]),c_0_51]),c_0_52]),c_0_55]),c_0_53]),c_0_51]),c_0_56]),c_0_13])]) ).
cnf(c_0_218,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_12]),c_0_106]),c_0_14]),c_0_105]),c_0_63]),c_0_14]),c_0_12]),c_0_17]),c_0_28])]) ).
cnf(c_0_219,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_218]),c_0_20]),c_0_132]),c_0_21]),c_0_131]),c_0_71]),c_0_21]),c_0_20]),c_0_24]),c_0_44])]) ).
cnf(c_0_220,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_219]),c_0_27]),c_0_159]),c_0_29]),c_0_140]),c_0_79]),c_0_29]),c_0_27]),c_0_32]),c_0_60])]) ).
cnf(c_0_221,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_220]),c_0_35]),c_0_181]),c_0_37]),c_0_47]),c_0_78]),c_0_37]),c_0_35]),c_0_40]),c_0_76])]) ).
cnf(c_0_222,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_221]),c_0_43]),c_0_206]),c_0_45]),c_0_165]),c_0_10]),c_0_45]),c_0_43]),c_0_48]),c_0_7])]) ).
cnf(c_0_223,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_222]),c_0_51]),c_0_56]),c_0_53]),c_0_56]),c_0_16]),c_0_53]),c_0_51]),c_0_56]),c_0_16])]) ).
cnf(c_0_224,plain,
sum(n4,n5) = n9,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_225,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_223]),c_0_59]),c_0_224]),c_0_61]),c_0_188]),c_0_23]),c_0_61]),c_0_59]),c_0_64]),c_0_36])]) ).
cnf(c_0_226,plain,
sum(n2,n6) = n8,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_227,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_225]),c_0_67]),c_0_63]),c_0_69]),c_0_226]),c_0_31]),c_0_69]),c_0_67]),c_0_72]),c_0_52])]) ).
cnf(c_0_228,plain,
sum(n4,n3) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_229,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_227]),c_0_75]),c_0_228]),c_0_77]),c_0_210]),c_0_39]),c_0_77]),c_0_75]),c_0_80]),c_0_68])]) ).
cnf(c_0_230,plain,
sum(n4,n2) = n6,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_231,plain,
( esk1_0 = n4
| esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_229]),c_0_83]),c_0_230]),c_0_85]),c_0_73]),c_0_47]),c_0_85]),c_0_83]),c_0_86]),c_0_84])]) ).
cnf(c_0_232,plain,
( sum(sum(n3,succ(esk2_0)),sum(pred(esk2_0),n5)) != sum(n8,sum(pred(esk2_0),succ(esk2_0)))
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_231]),c_0_61]),c_0_59]),c_0_61]),c_0_59]),c_0_64]) ).
cnf(c_0_233,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2
| esk1_0 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_231]),c_0_61]),c_0_62]),c_0_59]),c_0_60]),c_0_63]),c_0_61]),c_0_59]),c_0_64]),c_0_93])]) ).
cnf(c_0_234,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_12]),c_0_108]),c_0_14]),c_0_97]),c_0_71]),c_0_14]),c_0_12]),c_0_17]),c_0_121])]) ).
cnf(c_0_235,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_234]),c_0_20]),c_0_135]),c_0_21]),c_0_134]),c_0_79]),c_0_21]),c_0_20]),c_0_24]),c_0_128])]) ).
cnf(c_0_236,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_235]),c_0_27]),c_0_161]),c_0_29]),c_0_123]),c_0_78]),c_0_29]),c_0_27]),c_0_32]),c_0_134])]) ).
cnf(c_0_237,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_236]),c_0_35]),c_0_184]),c_0_37]),c_0_183]),c_0_10]),c_0_37]),c_0_35]),c_0_40]),c_0_142])]) ).
cnf(c_0_238,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_237]),c_0_43]),c_0_175]),c_0_45]),c_0_55]),c_0_16]),c_0_45]),c_0_43]),c_0_48]),c_0_22])]) ).
cnf(c_0_239,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_238]),c_0_51]),c_0_188]),c_0_53]),c_0_224]),c_0_23]),c_0_53]),c_0_51]),c_0_56]),c_0_24])]) ).
cnf(c_0_240,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_239]),c_0_59]),c_0_64]),c_0_61]),c_0_64]),c_0_31]),c_0_61]),c_0_59]),c_0_64]),c_0_31])]) ).
cnf(c_0_241,plain,
sum(n2,n5) = n7,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_242,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_240]),c_0_67]),c_0_192]),c_0_69]),c_0_241]),c_0_39]),c_0_69]),c_0_67]),c_0_72]),c_0_131])]) ).
cnf(c_0_243,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_242]),c_0_75]),c_0_71]),c_0_77]),c_0_202]),c_0_47]),c_0_77]),c_0_75]),c_0_80]),c_0_138])]) ).
cnf(c_0_244,plain,
( esk1_0 = n3
| esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_243]),c_0_83]),c_0_195]),c_0_85]),c_0_33]),c_0_55]),c_0_85]),c_0_83]),c_0_86]),c_0_146])]) ).
cnf(c_0_245,plain,
( sum(sum(n2,succ(esk2_0)),sum(pred(esk2_0),n4)) != sum(n6,sum(pred(esk2_0),succ(esk2_0)))
| esk1_0 = n1
| esk1_0 = n2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_244]),c_0_69]),c_0_67]),c_0_69]),c_0_67]),c_0_72]) ).
cnf(c_0_246,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1
| esk1_0 = n2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_244]),c_0_69]),c_0_70]),c_0_67]),c_0_68]),c_0_71]),c_0_69]),c_0_67]),c_0_72]),c_0_100])]) ).
cnf(c_0_247,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_12]),c_0_111]),c_0_14]),c_0_110]),c_0_79]),c_0_14]),c_0_12]),c_0_17]),c_0_155])]) ).
cnf(c_0_248,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_247]),c_0_20]),c_0_139]),c_0_21]),c_0_138]),c_0_78]),c_0_21]),c_0_20]),c_0_24]),c_0_179])]) ).
cnf(c_0_249,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_248]),c_0_27]),c_0_164]),c_0_29]),c_0_144]),c_0_10]),c_0_29]),c_0_27]),c_0_32]),c_0_183])]) ).
cnf(c_0_250,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_249]),c_0_35]),c_0_187]),c_0_37]),c_0_186]),c_0_16]),c_0_37]),c_0_35]),c_0_40]),c_0_190])]) ).
cnf(c_0_251,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_250]),c_0_43]),c_0_209]),c_0_45]),c_0_168]),c_0_23]),c_0_45]),c_0_43]),c_0_48]),c_0_38])]) ).
cnf(c_0_252,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_251]),c_0_51]),c_0_226]),c_0_53]),c_0_63]),c_0_31]),c_0_53]),c_0_51]),c_0_56]),c_0_125])]) ).
cnf(c_0_253,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_252]),c_0_59]),c_0_241]),c_0_61]),c_0_192]),c_0_39]),c_0_61]),c_0_59]),c_0_64]),c_0_40])]) ).
cnf(c_0_254,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_253]),c_0_67]),c_0_72]),c_0_69]),c_0_72]),c_0_47]),c_0_69]),c_0_67]),c_0_72]),c_0_47])]) ).
cnf(c_0_255,plain,
sum(n2,n3) = n5,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_256,plain,
( esk1_0 = n2
| esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_254]),c_0_75]),c_0_255]),c_0_77]),c_0_212]),c_0_55]),c_0_77]),c_0_75]),c_0_80]),c_0_186])]) ).
cnf(c_0_257,plain,
( esk1_0 = n2
| esk1_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_256]),c_0_83]),c_0_79]),c_0_85]),c_0_81]),c_0_63]),c_0_85]),c_0_83]),c_0_86]),c_0_194])]) ).
cnf(c_0_258,plain,
( sum(sum(n1,succ(esk2_0)),sum(pred(esk2_0),n3)) != sum(n4,sum(pred(esk2_0),succ(esk2_0)))
| esk1_0 = n1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_257]),c_0_77]),c_0_75]),c_0_77]),c_0_75]),c_0_80]) ).
cnf(c_0_259,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1
| esk1_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_257]),c_0_77]),c_0_78]),c_0_75]),c_0_76]),c_0_79]),c_0_77]),c_0_75]),c_0_80]),c_0_106])]) ).
cnf(c_0_260,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_12]),c_0_113]),c_0_14]),c_0_101]),c_0_78]),c_0_14]),c_0_12]),c_0_17]),c_0_159])]) ).
cnf(c_0_261,plain,
( esk1_0 = n1
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_260]),c_0_20]),c_0_143]),c_0_21]),c_0_142]),c_0_10]),c_0_21]),c_0_20]),c_0_24]),c_0_206])]) ).
cnf(c_0_262,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_261]),c_0_27]),c_0_167]),c_0_29]),c_0_126]),c_0_16]),c_0_29]),c_0_27]),c_0_32]),c_0_224])]) ).
cnf(c_0_263,plain,
( esk1_0 = n1
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_262]),c_0_35]),c_0_191]),c_0_37]),c_0_190]),c_0_23]),c_0_37]),c_0_35]),c_0_40]),c_0_228])]) ).
cnf(c_0_264,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_263]),c_0_43]),c_0_200]),c_0_45]),c_0_156]),c_0_31]),c_0_45]),c_0_43]),c_0_48]),c_0_54])]) ).
cnf(c_0_265,plain,
( esk1_0 = n1
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_264]),c_0_51]),c_0_210]),c_0_53]),c_0_228]),c_0_39]),c_0_53]),c_0_51]),c_0_56]),c_0_132])]) ).
cnf(c_0_266,plain,
( esk1_0 = n1
| esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_265]),c_0_59]),c_0_202]),c_0_61]),c_0_71]),c_0_47]),c_0_61]),c_0_59]),c_0_64]),c_0_181])]) ).
cnf(c_0_267,plain,
( esk1_0 = n1
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_266]),c_0_67]),c_0_212]),c_0_69]),c_0_255]),c_0_55]),c_0_69]),c_0_67]),c_0_72]),c_0_56])]) ).
cnf(c_0_268,plain,
( esk1_0 = n1
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_267]),c_0_75]),c_0_80]),c_0_77]),c_0_80]),c_0_63]),c_0_77]),c_0_75]),c_0_80]),c_0_63])]) ).
cnf(c_0_269,plain,
esk1_0 = n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_268]),c_0_83]),c_0_214]),c_0_85]),c_0_41]),c_0_71]),c_0_85]),c_0_83]),c_0_86]),c_0_230])]) ).
cnf(c_0_270,plain,
( esk2_0 = n10
| esk2_0 = n9
| esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_269]),c_0_85]),c_0_49]),c_0_83]),c_0_84]),c_0_78]),c_0_85]),c_0_83]),c_0_86]),c_0_111])]) ).
cnf(c_0_271,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7
| esk2_0 = n8
| esk2_0 = n9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_270]),c_0_269]),c_0_85]),c_0_12]),c_0_10]),c_0_14]),c_0_269]),c_0_83]),c_0_115]),c_0_10]),c_0_269]),c_0_85]),c_0_269]),c_0_83]),c_0_86]),c_0_14]),c_0_12]),c_0_17]),c_0_164])]) ).
cnf(c_0_272,plain,
( esk2_0 = n8
| esk2_0 = n7
| esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_271]),c_0_269]),c_0_85]),c_0_20]),c_0_57]),c_0_21]),c_0_269]),c_0_83]),c_0_146]),c_0_16]),c_0_269]),c_0_85]),c_0_269]),c_0_83]),c_0_86]),c_0_21]),c_0_20]),c_0_24]),c_0_209])]) ).
cnf(c_0_273,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5
| esk2_0 = n6
| esk2_0 = n7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_272]),c_0_269]),c_0_85]),c_0_27]),c_0_18]),c_0_29]),c_0_269]),c_0_83]),c_0_147]),c_0_23]),c_0_269]),c_0_85]),c_0_269]),c_0_83]),c_0_86]),c_0_29]),c_0_27]),c_0_32]),c_0_241])]) ).
cnf(c_0_274,plain,
( esk2_0 = n6
| esk2_0 = n5
| esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_273]),c_0_269]),c_0_85]),c_0_35]),c_0_65]),c_0_37]),c_0_269]),c_0_83]),c_0_194]),c_0_31]),c_0_269]),c_0_85]),c_0_269]),c_0_83]),c_0_86]),c_0_37]),c_0_35]),c_0_40]),c_0_255])]) ).
cnf(c_0_275,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3
| esk2_0 = n4
| esk2_0 = n5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_274]),c_0_269]),c_0_85]),c_0_43]),c_0_25]),c_0_45]),c_0_269]),c_0_83]),c_0_170]),c_0_39]),c_0_269]),c_0_85]),c_0_269]),c_0_83]),c_0_86]),c_0_45]),c_0_43]),c_0_48]),c_0_70])]) ).
cnf(c_0_276,plain,
( esk2_0 = n4
| esk2_0 = n3
| esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_275]),c_0_269]),c_0_85]),c_0_51]),c_0_73]),c_0_53]),c_0_269]),c_0_83]),c_0_230]),c_0_47]),c_0_269]),c_0_85]),c_0_269]),c_0_83]),c_0_86]),c_0_53]),c_0_51]),c_0_56]),c_0_139])]) ).
cnf(c_0_277,plain,
( esk2_0 = n1
| esk2_0 = n2
| esk2_0 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_276]),c_0_269]),c_0_85]),c_0_59]),c_0_33]),c_0_61]),c_0_269]),c_0_83]),c_0_195]),c_0_55]),c_0_269]),c_0_85]),c_0_269]),c_0_83]),c_0_86]),c_0_61]),c_0_59]),c_0_64]),c_0_187])]) ).
cnf(c_0_278,plain,
( esk2_0 = n2
| esk2_0 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_277]),c_0_269]),c_0_85]),c_0_67]),c_0_81]),c_0_69]),c_0_269]),c_0_83]),c_0_79]),c_0_63]),c_0_269]),c_0_85]),c_0_269]),c_0_83]),c_0_86]),c_0_69]),c_0_67]),c_0_72]),c_0_226])]) ).
cnf(c_0_279,plain,
esk2_0 = n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_278]),c_0_269]),c_0_85]),c_0_75]),c_0_41]),c_0_77]),c_0_269]),c_0_83]),c_0_214]),c_0_71]),c_0_269]),c_0_85]),c_0_269]),c_0_83]),c_0_86]),c_0_77]),c_0_75]),c_0_80]),c_0_72])]) ).
cnf(c_0_280,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_279]),c_0_269]),c_0_85]),c_0_83]),c_0_86]),c_0_85]),c_0_269]),c_0_83]),c_0_86]),c_0_79]),c_0_269]),c_0_85]),c_0_269]),c_0_83]),c_0_86]),c_0_85]),c_0_83]),c_0_86]),c_0_79])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM376+1.010 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:25:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.44 % Version: 3.5.1
% 0.14/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.44 % Starting sh5l with 300s (1) cores
% 0.14/0.44 % new_bool_3 with pid 640720 completed with status 9
% 0.14/0.44 % new_bool_1 with pid 640721 completed with status 9
% 0.14/0.44 % sh5l with pid 640722 completed with status 9
% 0.14/0.44 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 640719 completed with status 0
% 0.14/0.44 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.44 % No SInE strategy applied
% 0.14/0.44 % Search class: FGUPF-FFMM21-MFFFFFNN
% 0.14/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.44 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 640730 completed with status 0
% 0.14/0.44 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.44 % No SInE strategy applied
% 0.14/0.44 % Search class: FGUPF-FFMM21-MFFFFFNN
% 0.14/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.44 % Preprocessing time : 0.001 s
% 0.14/0.44 % Presaturation interreduction done
% 0.14/0.44
% 0.14/0.44 % Proof found!
% 0.14/0.44 % SZS status Unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation
% See solution above
% 0.14/0.45 % Parsed axioms : 1
% 0.14/0.45 % Removed by relevancy pruning/SinE : 0
% 0.14/0.45 % Initial clauses : 201
% 0.14/0.45 % Removed in clause preprocessing : 0
% 0.14/0.45 % Initial clauses in saturation : 201
% 0.14/0.45 % Processed clauses : 609
% 0.14/0.45 % ...of these trivial : 0
% 0.14/0.45 % ...subsumed : 75
% 0.14/0.45 % ...remaining for further processing : 534
% 0.14/0.45 % Other redundant clauses eliminated : 0
% 0.14/0.45 % Clauses deleted for lack of memory : 0
% 0.14/0.45 % Backward-subsumed : 127
% 0.14/0.45 % Backward-rewritten : 4
% 0.14/0.45 % Generated clauses : 827
% 0.14/0.45 % ...of the previous two non-redundant : 825
% 0.14/0.45 % ...aggressively subsumed : 0
% 0.14/0.45 % Contextual simplify-reflections : 0
% 0.14/0.45 % Paramodulations : 267
% 0.14/0.45 % Factorizations : 560
% 0.14/0.45 % NegExts : 0
% 0.14/0.45 % Equation resolutions : 0
% 0.14/0.45 % Disequality decompositions : 0
% 0.14/0.45 % Total rewrite steps : 2040
% 0.14/0.45 % ...of those cached : 1895
% 0.14/0.45 % Propositional unsat checks : 0
% 0.14/0.45 % Propositional check models : 0
% 0.14/0.45 % Propositional check unsatisfiable : 0
% 0.14/0.45 % Propositional clauses : 0
% 0.14/0.45 % Propositional clauses after purity: 0
% 0.14/0.45 % Propositional unsat core size : 0
% 0.14/0.45 % Propositional preprocessing time : 0.000
% 0.14/0.45 % Propositional encoding time : 0.000
% 0.14/0.45 % Propositional solver time : 0.000
% 0.14/0.45 % Success case prop preproc time : 0.000
% 0.14/0.45 % Success case prop encoding time : 0.000
% 0.14/0.45 % Success case prop solver time : 0.000
% 0.14/0.45 % Current number of processed clauses : 202
% 0.14/0.45 % Positive orientable unit clauses : 145
% 0.14/0.45 % Positive unorientable unit clauses: 0
% 0.14/0.45 % Negative unit clauses : 57
% 0.14/0.45 % Non-unit-clauses : 0
% 0.14/0.45 % Current number of unprocessed clauses: 53
% 0.14/0.45 % ...number of literals in the above : 365
% 0.14/0.45 % Current number of archived formulas : 0
% 0.14/0.45 % Current number of archived clauses : 332
% 0.14/0.45 % Clause-clause subsumption calls (NU) : 136
% 0.14/0.45 % Rec. Clause-clause subsumption calls : 136
% 0.14/0.45 % Non-unit clause-clause subsumptions : 136
% 0.14/0.45 % Unit Clause-clause subsumption calls : 3159
% 0.14/0.45 % Rewrite failures with RHS unbound : 0
% 0.14/0.45 % BW rewrite match attempts : 2
% 0.14/0.45 % BW rewrite match successes : 2
% 0.14/0.45 % Condensation attempts : 0
% 0.14/0.45 % Condensation successes : 0
% 0.14/0.45 % Termbank termtop insertions : 16791
% 0.14/0.45 % Search garbage collected termcells : 341
% 0.14/0.45
% 0.14/0.45 % -------------------------------------------------
% 0.14/0.45 % User time : 0.023 s
% 0.14/0.45 % System time : 0.005 s
% 0.14/0.45 % Total time : 0.027 s
% 0.14/0.45 % Maximum resident set size: 3660 pages
% 0.14/0.45
% 0.14/0.45 % -------------------------------------------------
% 0.14/0.45 % User time : 0.146 s
% 0.14/0.45 % System time : 0.048 s
% 0.14/0.45 % Total time : 0.194 s
% 0.14/0.45 % Maximum resident set size: 4864 pages
% 0.14/0.45 % E exiting
%------------------------------------------------------------------------------