TSTP Solution File: NUM377+1.010 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM377+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:31:08 EDT 2024
% Result : Unsatisfiable 2.67s 0.72s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 33
% Syntax : Number of formulae : 2541 ( 164 unt; 0 def)
% Number of atoms : 8054 (3055 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 10276 (4763 ~;4821 |; 660 &)
% ( 32 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 244 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 34 ( 32 usr; 33 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 33 con; 0-2 aty)
% Number of variables : 44 ( 0 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,Y0,X1,Y1,X2,Y2,X3,Y3,X4,Y4,X5,Y5,X6,Y6,X7,Y7,X8,Y8,X9,Y9,X10,Y10] :
( succ(n0) = n1
& succ(n1) = n2
& succ(n2) = n3
& succ(n3) = n4
& succ(n4) = n5
& succ(n5) = n6
& succ(n6) = n7
& succ(n7) = n8
& succ(n8) = n9
& succ(n9) = n10
& succ(n10) = n0
& pred(n0) = n10
& pred(n1) = n0
& pred(n2) = n1
& pred(n3) = n2
& pred(n4) = n3
& pred(n5) = n4
& pred(n6) = n5
& pred(n7) = n6
& pred(n8) = n7
& pred(n9) = n8
& pred(n10) = n9
& sum(n0,n0) = n0
& sum(n0,n1) = n1
& sum(n0,n2) = n2
& sum(n0,n3) = n3
& sum(n0,n4) = n4
& sum(n0,n5) = n5
& sum(n0,n6) = n6
& sum(n0,n7) = n7
& sum(n0,n8) = n8
& sum(n0,n9) = n9
& sum(n0,n10) = n10
& sum(n1,n0) = n1
& sum(n1,n1) = n2
& sum(n1,n2) = n3
& sum(n1,n3) = n4
& sum(n1,n4) = n5
& sum(n1,n5) = n6
& sum(n1,n6) = n7
& sum(n1,n7) = n8
& sum(n1,n8) = n9
& sum(n1,n9) = n10
& sum(n1,n10) = n0
& sum(n2,n0) = n2
& sum(n2,n1) = n3
& sum(n2,n2) = n4
& sum(n2,n3) = n5
& sum(n2,n4) = n6
& sum(n2,n5) = n7
& sum(n2,n6) = n8
& sum(n2,n7) = n9
& sum(n2,n8) = n10
& sum(n2,n9) = n0
& sum(n2,n10) = n1
& sum(n3,n0) = n3
& sum(n3,n1) = n4
& sum(n3,n2) = n5
& sum(n3,n3) = n6
& sum(n3,n4) = n7
& sum(n3,n5) = n8
& sum(n3,n6) = n9
& sum(n3,n7) = n10
& sum(n3,n8) = n0
& sum(n3,n9) = n1
& sum(n3,n10) = n2
& sum(n4,n0) = n4
& sum(n4,n1) = n5
& sum(n4,n2) = n6
& sum(n4,n3) = n7
& sum(n4,n4) = n8
& sum(n4,n5) = n9
& sum(n4,n6) = n10
& sum(n4,n7) = n0
& sum(n4,n8) = n1
& sum(n4,n9) = n2
& sum(n4,n10) = n3
& sum(n5,n0) = n5
& sum(n5,n1) = n6
& sum(n5,n2) = n7
& sum(n5,n3) = n8
& sum(n5,n4) = n9
& sum(n5,n5) = n10
& sum(n5,n6) = n0
& sum(n5,n7) = n1
& sum(n5,n8) = n2
& sum(n5,n9) = n3
& sum(n5,n10) = n4
& sum(n6,n0) = n6
& sum(n6,n1) = n7
& sum(n6,n2) = n8
& sum(n6,n3) = n9
& sum(n6,n4) = n10
& sum(n6,n5) = n0
& sum(n6,n6) = n1
& sum(n6,n7) = n2
& sum(n6,n8) = n3
& sum(n6,n9) = n4
& sum(n6,n10) = n5
& sum(n7,n0) = n7
& sum(n7,n1) = n8
& sum(n7,n2) = n9
& sum(n7,n3) = n10
& sum(n7,n4) = n0
& sum(n7,n5) = n1
& sum(n7,n6) = n2
& sum(n7,n7) = n3
& sum(n7,n8) = n4
& sum(n7,n9) = n5
& sum(n7,n10) = n6
& sum(n8,n0) = n8
& sum(n8,n1) = n9
& sum(n8,n2) = n10
& sum(n8,n3) = n0
& sum(n8,n4) = n1
& sum(n8,n5) = n2
& sum(n8,n6) = n3
& sum(n8,n7) = n4
& sum(n8,n8) = n5
& sum(n8,n9) = n6
& sum(n8,n10) = n7
& sum(n9,n0) = n9
& sum(n9,n1) = n10
& sum(n9,n2) = n0
& sum(n9,n3) = n1
& sum(n9,n4) = n2
& sum(n9,n5) = n3
& sum(n9,n6) = n4
& sum(n9,n7) = n5
& sum(n9,n8) = n6
& sum(n9,n9) = n7
& sum(n9,n10) = n8
& sum(n10,n0) = n10
& sum(n10,n1) = n0
& sum(n10,n2) = n1
& sum(n10,n3) = n2
& sum(n10,n4) = n3
& sum(n10,n5) = n4
& sum(n10,n6) = n5
& sum(n10,n7) = n6
& sum(n10,n8) = n7
& sum(n10,n9) = n8
& sum(n10,n10) = n9
& ( X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4
| X0 = n5
| X0 = n6
| X0 = n7
| X0 = n8
| X0 = n9
| X0 = n10 )
& ( Y0 = n0
| Y0 = n1
| Y0 = n2
| Y0 = n3
| Y0 = n4
| Y0 = n5
| Y0 = n6
| Y0 = n7
| Y0 = n8
| Y0 = n9
| Y0 = n10 )
& X1 = sum(sum(pred(X0),succ(Y0)),sum(pred(Y0),succ(X0)))
& Y1 = sum(sum(pred(X0),succ(X0)),sum(pred(Y0),succ(Y0)))
& X2 = sum(sum(pred(X1),succ(Y1)),sum(pred(Y1),succ(X1)))
& Y2 = sum(sum(pred(X1),succ(X1)),sum(pred(Y1),succ(Y1)))
& X3 = sum(sum(pred(X2),succ(Y2)),sum(pred(Y2),succ(X2)))
& Y3 = sum(sum(pred(X2),succ(X2)),sum(pred(Y2),succ(Y2)))
& X4 = sum(sum(pred(X3),succ(Y3)),sum(pred(Y3),succ(X3)))
& Y4 = sum(sum(pred(X3),succ(X3)),sum(pred(Y3),succ(Y3)))
& X5 = sum(sum(pred(X4),succ(Y4)),sum(pred(Y4),succ(X4)))
& Y5 = sum(sum(pred(X4),succ(X4)),sum(pred(Y4),succ(Y4)))
& X6 = sum(sum(pred(X5),succ(Y5)),sum(pred(Y5),succ(X5)))
& Y6 = sum(sum(pred(X5),succ(X5)),sum(pred(Y5),succ(Y5)))
& X7 = sum(sum(pred(X6),succ(Y6)),sum(pred(Y6),succ(X6)))
& Y7 = sum(sum(pred(X6),succ(X6)),sum(pred(Y6),succ(Y6)))
& X8 = sum(sum(pred(X7),succ(Y7)),sum(pred(Y7),succ(X7)))
& Y8 = sum(sum(pred(X7),succ(X7)),sum(pred(Y7),succ(Y7)))
& X9 = sum(sum(pred(X8),succ(Y8)),sum(pred(Y8),succ(X8)))
& Y9 = sum(sum(pred(X8),succ(X8)),sum(pred(Y8),succ(Y8)))
& X10 = sum(sum(pred(X9),succ(Y9)),sum(pred(Y9),succ(X9)))
& Y10 = sum(sum(pred(X9),succ(X9)),sum(pred(Y9),succ(Y9)))
& ( X1 != Y1
| X2 != Y2
| X3 != Y3
| X4 != Y4
| X5 != Y5
| X6 != Y6
| X7 != Y7
| X8 != Y8
| X9 != Y9
| X10 != Y10 )
& n0 != n1
& n0 != n2
& n0 != n3
& n0 != n4
& n0 != n5
& n0 != n6
& n0 != n7
& n0 != n8
& n0 != n9
& n0 != n10
& n1 != n2
& n1 != n3
& n1 != n4
& n1 != n5
& n1 != n6
& n1 != n7
& n1 != n8
& n1 != n9
& n1 != n10
& n2 != n3
& n2 != n4
& n2 != n5
& n2 != n6
& n2 != n7
& n2 != n8
& n2 != n9
& n2 != n10
& n3 != n4
& n3 != n5
& n3 != n6
& n3 != n7
& n3 != n8
& n3 != n9
& n3 != n10
& n4 != n5
& n4 != n6
& n4 != n7
& n4 != n8
& n4 != n9
& n4 != n10
& n5 != n6
& n5 != n7
& n5 != n8
& n5 != n9
& n5 != n10
& n6 != n7
& n6 != n8
& n6 != n9
& n6 != n10
& n7 != n8
& n7 != n9
& n7 != n10
& n8 != n9
& n8 != n10
& n9 != n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,plain,
( ? [X1,Y1,X2,Y2,X3,Y3,X4,Y4,X5,Y5,X6,Y6,X7,Y7,X8,Y8,X9,Y9,X10,Y10] :
( ? [X0,Y0] :
( succ(n0) = n1
& succ(n1) = n2
& succ(n2) = n3
& succ(n3) = n4
& succ(n4) = n5
& succ(n5) = n6
& succ(n6) = n7
& succ(n7) = n8
& succ(n8) = n9
& succ(n9) = n10
& succ(n10) = n0
& pred(n0) = n10
& pred(n1) = n0
& pred(n2) = n1
& pred(n3) = n2
& pred(n4) = n3
& pred(n5) = n4
& pred(n6) = n5
& pred(n7) = n6
& pred(n8) = n7
& pred(n9) = n8
& pred(n10) = n9
& sum(n0,n0) = n0
& sum(n0,n1) = n1
& sum(n0,n2) = n2
& sum(n0,n3) = n3
& sum(n0,n4) = n4
& sum(n0,n5) = n5
& sum(n0,n6) = n6
& sum(n0,n7) = n7
& sum(n0,n8) = n8
& sum(n0,n9) = n9
& sum(n0,n10) = n10
& sum(n1,n0) = n1
& sum(n1,n1) = n2
& sum(n1,n2) = n3
& sum(n1,n3) = n4
& sum(n1,n4) = n5
& sum(n1,n5) = n6
& sum(n1,n6) = n7
& sum(n1,n7) = n8
& sum(n1,n8) = n9
& sum(n1,n9) = n10
& sum(n1,n10) = n0
& sum(n2,n0) = n2
& sum(n2,n1) = n3
& sum(n2,n2) = n4
& sum(n2,n3) = n5
& sum(n2,n4) = n6
& sum(n2,n5) = n7
& sum(n2,n6) = n8
& sum(n2,n7) = n9
& sum(n2,n8) = n10
& sum(n2,n9) = n0
& sum(n2,n10) = n1
& sum(n3,n0) = n3
& sum(n3,n1) = n4
& sum(n3,n2) = n5
& sum(n3,n3) = n6
& sum(n3,n4) = n7
& sum(n3,n5) = n8
& sum(n3,n6) = n9
& sum(n3,n7) = n10
& sum(n3,n8) = n0
& sum(n3,n9) = n1
& sum(n3,n10) = n2
& sum(n4,n0) = n4
& sum(n4,n1) = n5
& sum(n4,n2) = n6
& sum(n4,n3) = n7
& sum(n4,n4) = n8
& sum(n4,n5) = n9
& sum(n4,n6) = n10
& sum(n4,n7) = n0
& sum(n4,n8) = n1
& sum(n4,n9) = n2
& sum(n4,n10) = n3
& sum(n5,n0) = n5
& sum(n5,n1) = n6
& sum(n5,n2) = n7
& sum(n5,n3) = n8
& sum(n5,n4) = n9
& sum(n5,n5) = n10
& sum(n5,n6) = n0
& sum(n5,n7) = n1
& sum(n5,n8) = n2
& sum(n5,n9) = n3
& sum(n5,n10) = n4
& sum(n6,n0) = n6
& sum(n6,n1) = n7
& sum(n6,n2) = n8
& sum(n6,n3) = n9
& sum(n6,n4) = n10
& sum(n6,n5) = n0
& sum(n6,n6) = n1
& sum(n6,n7) = n2
& sum(n6,n8) = n3
& sum(n6,n9) = n4
& sum(n6,n10) = n5
& sum(n7,n0) = n7
& sum(n7,n1) = n8
& sum(n7,n2) = n9
& sum(n7,n3) = n10
& sum(n7,n4) = n0
& sum(n7,n5) = n1
& sum(n7,n6) = n2
& sum(n7,n7) = n3
& sum(n7,n8) = n4
& sum(n7,n9) = n5
& sum(n7,n10) = n6
& sum(n8,n0) = n8
& sum(n8,n1) = n9
& sum(n8,n2) = n10
& sum(n8,n3) = n0
& sum(n8,n4) = n1
& sum(n8,n5) = n2
& sum(n8,n6) = n3
& sum(n8,n7) = n4
& sum(n8,n8) = n5
& sum(n8,n9) = n6
& sum(n8,n10) = n7
& sum(n9,n0) = n9
& sum(n9,n1) = n10
& sum(n9,n2) = n0
& sum(n9,n3) = n1
& sum(n9,n4) = n2
& sum(n9,n5) = n3
& sum(n9,n6) = n4
& sum(n9,n7) = n5
& sum(n9,n8) = n6
& sum(n9,n9) = n7
& sum(n9,n10) = n8
& sum(n10,n0) = n10
& sum(n10,n1) = n0
& sum(n10,n2) = n1
& sum(n10,n3) = n2
& sum(n10,n4) = n3
& sum(n10,n5) = n4
& sum(n10,n6) = n5
& sum(n10,n7) = n6
& sum(n10,n8) = n7
& sum(n10,n9) = n8
& sum(n10,n10) = n9
& ( X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4
| X0 = n5
| X0 = n6
| X0 = n7
| X0 = n8
| X0 = n9
| X0 = n10 )
& ( Y0 = n0
| Y0 = n1
| Y0 = n2
| Y0 = n3
| Y0 = n4
| Y0 = n5
| Y0 = n6
| Y0 = n7
| Y0 = n8
| Y0 = n9
| Y0 = n10 )
& X1 = sum(sum(pred(X0),succ(Y0)),sum(pred(Y0),succ(X0)))
& Y1 = sum(sum(pred(X0),succ(X0)),sum(pred(Y0),succ(Y0))) )
& X2 = sum(sum(pred(X1),succ(Y1)),sum(pred(Y1),succ(X1)))
& Y2 = sum(sum(pred(X1),succ(X1)),sum(pred(Y1),succ(Y1)))
& X3 = sum(sum(pred(X2),succ(Y2)),sum(pred(Y2),succ(X2)))
& Y3 = sum(sum(pred(X2),succ(X2)),sum(pred(Y2),succ(Y2)))
& X4 = sum(sum(pred(X3),succ(Y3)),sum(pred(Y3),succ(X3)))
& Y4 = sum(sum(pred(X3),succ(X3)),sum(pred(Y3),succ(Y3)))
& X5 = sum(sum(pred(X4),succ(Y4)),sum(pred(Y4),succ(X4)))
& Y5 = sum(sum(pred(X4),succ(X4)),sum(pred(Y4),succ(Y4)))
& X6 = sum(sum(pred(X5),succ(Y5)),sum(pred(Y5),succ(X5)))
& Y6 = sum(sum(pred(X5),succ(X5)),sum(pred(Y5),succ(Y5)))
& X7 = sum(sum(pred(X6),succ(Y6)),sum(pred(Y6),succ(X6)))
& Y7 = sum(sum(pred(X6),succ(X6)),sum(pred(Y6),succ(Y6)))
& X8 = sum(sum(pred(X7),succ(Y7)),sum(pred(Y7),succ(X7)))
& Y8 = sum(sum(pred(X7),succ(X7)),sum(pred(Y7),succ(Y7)))
& X9 = sum(sum(pred(X8),succ(Y8)),sum(pred(Y8),succ(X8)))
& Y9 = sum(sum(pred(X8),succ(X8)),sum(pred(Y8),succ(Y8)))
& X10 = sum(sum(pred(X9),succ(Y9)),sum(pred(Y9),succ(X9)))
& Y10 = sum(sum(pred(X9),succ(X9)),sum(pred(Y9),succ(Y9)))
& ( X1 != Y1
| X2 != Y2
| X3 != Y3
| X4 != Y4
| X5 != Y5
| X6 != Y6
| X7 != Y7
| X8 != Y8
| X9 != Y9
| X10 != Y10 ) )
& n0 != n1
& n0 != n2
& n0 != n3
& n0 != n4
& n0 != n5
& n0 != n6
& n0 != n7
& n0 != n8
& n0 != n9
& n0 != n10
& n1 != n2
& n1 != n3
& n1 != n4
& n1 != n5
& n1 != n6
& n1 != n7
& n1 != n8
& n1 != n9
& n1 != n10
& n2 != n3
& n2 != n4
& n2 != n5
& n2 != n6
& n2 != n7
& n2 != n8
& n2 != n9
& n2 != n10
& n3 != n4
& n3 != n5
& n3 != n6
& n3 != n7
& n3 != n8
& n3 != n9
& n3 != n10
& n4 != n5
& n4 != n6
& n4 != n7
& n4 != n8
& n4 != n9
& n4 != n10
& n5 != n6
& n5 != n7
& n5 != n8
& n5 != n9
& n5 != n10
& n6 != n7
& n6 != n8
& n6 != n9
& n6 != n10
& n7 != n8
& n7 != n9
& n7 != n10
& n8 != n9
& n8 != n10
& n9 != n10 ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f3,plain,
( succ(n0) = n1
& succ(n1) = n2
& succ(n2) = n3
& succ(n3) = n4
& succ(n4) = n5
& succ(n5) = n6
& succ(n6) = n7
& succ(n7) = n8
& succ(n8) = n9
& succ(n9) = n10
& succ(n10) = n0
& pred(n0) = n10
& pred(n1) = n0
& pred(n2) = n1
& pred(n3) = n2
& pred(n4) = n3
& pred(n5) = n4
& pred(n6) = n5
& pred(n7) = n6
& pred(n8) = n7
& pred(n9) = n8
& pred(n10) = n9
& sum(n0,n0) = n0
& sum(n0,n1) = n1
& sum(n0,n2) = n2
& sum(n0,n3) = n3
& sum(n0,n4) = n4
& sum(n0,n5) = n5
& sum(n0,n6) = n6
& sum(n0,n7) = n7
& sum(n0,n8) = n8
& sum(n0,n9) = n9
& sum(n0,n10) = n10
& sum(n1,n0) = n1
& sum(n1,n1) = n2
& sum(n1,n2) = n3
& sum(n1,n3) = n4
& sum(n1,n4) = n5
& sum(n1,n5) = n6
& sum(n1,n6) = n7
& sum(n1,n7) = n8
& sum(n1,n8) = n9
& sum(n1,n9) = n10
& sum(n1,n10) = n0
& sum(n2,n0) = n2
& sum(n2,n1) = n3
& sum(n2,n2) = n4
& sum(n2,n3) = n5
& sum(n2,n4) = n6
& sum(n2,n5) = n7
& sum(n2,n6) = n8
& sum(n2,n7) = n9
& sum(n2,n8) = n10
& sum(n2,n9) = n0
& sum(n2,n10) = n1
& sum(n3,n0) = n3
& sum(n3,n1) = n4
& sum(n3,n2) = n5
& sum(n3,n3) = n6
& sum(n3,n4) = n7
& sum(n3,n5) = n8
& sum(n3,n6) = n9
& sum(n3,n7) = n10
& sum(n3,n8) = n0
& sum(n3,n9) = n1
& sum(n3,n10) = n2
& sum(n4,n0) = n4
& sum(n4,n1) = n5
& sum(n4,n2) = n6
& sum(n4,n3) = n7
& sum(n4,n4) = n8
& sum(n4,n5) = n9
& sum(n4,n6) = n10
& sum(n4,n7) = n0
& sum(n4,n8) = n1
& sum(n4,n9) = n2
& sum(n4,n10) = n3
& sum(n5,n0) = n5
& sum(n5,n1) = n6
& sum(n5,n2) = n7
& sum(n5,n3) = n8
& sum(n5,n4) = n9
& sum(n5,n5) = n10
& sum(n5,n6) = n0
& sum(n5,n7) = n1
& sum(n5,n8) = n2
& sum(n5,n9) = n3
& sum(n5,n10) = n4
& sum(n6,n0) = n6
& sum(n6,n1) = n7
& sum(n6,n2) = n8
& sum(n6,n3) = n9
& sum(n6,n4) = n10
& sum(n6,n5) = n0
& sum(n6,n6) = n1
& sum(n6,n7) = n2
& sum(n6,n8) = n3
& sum(n6,n9) = n4
& sum(n6,n10) = n5
& sum(n7,n0) = n7
& sum(n7,n1) = n8
& sum(n7,n2) = n9
& sum(n7,n3) = n10
& sum(n7,n4) = n0
& sum(n7,n5) = n1
& sum(n7,n6) = n2
& sum(n7,n7) = n3
& sum(n7,n8) = n4
& sum(n7,n9) = n5
& sum(n7,n10) = n6
& sum(n8,n0) = n8
& sum(n8,n1) = n9
& sum(n8,n2) = n10
& sum(n8,n3) = n0
& sum(n8,n4) = n1
& sum(n8,n5) = n2
& sum(n8,n6) = n3
& sum(n8,n7) = n4
& sum(n8,n8) = n5
& sum(n8,n9) = n6
& sum(n8,n10) = n7
& sum(n9,n0) = n9
& sum(n9,n1) = n10
& sum(n9,n2) = n0
& sum(n9,n3) = n1
& sum(n9,n4) = n2
& sum(n9,n5) = n3
& sum(n9,n6) = n4
& sum(n9,n7) = n5
& sum(n9,n8) = n6
& sum(n9,n9) = n7
& sum(n9,n10) = n8
& sum(n10,n0) = n10
& sum(n10,n1) = n0
& sum(n10,n2) = n1
& sum(n10,n3) = n2
& sum(n10,n4) = n3
& sum(n10,n5) = n4
& sum(n10,n6) = n5
& sum(n10,n7) = n6
& sum(n10,n8) = n7
& sum(n10,n9) = n8
& sum(n10,n10) = n9
& ( sk0_20 = n0
| sk0_20 = n1
| sk0_20 = n2
| sk0_20 = n3
| sk0_20 = n4
| sk0_20 = n5
| sk0_20 = n6
| sk0_20 = n7
| sk0_20 = n8
| sk0_20 = n9
| sk0_20 = n10 )
& ( sk0_21 = n0
| sk0_21 = n1
| sk0_21 = n2
| sk0_21 = n3
| sk0_21 = n4
| sk0_21 = n5
| sk0_21 = n6
| sk0_21 = n7
| sk0_21 = n8
| sk0_21 = n9
| sk0_21 = n10 )
& sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(sk0_20)))
& sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21)))
& sk0_2 = sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0)))
& sk0_3 = sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
& sk0_4 = sum(sum(pred(sk0_2),succ(sk0_3)),sum(pred(sk0_3),succ(sk0_2)))
& sk0_5 = sum(sum(pred(sk0_2),succ(sk0_2)),sum(pred(sk0_3),succ(sk0_3)))
& sk0_6 = sum(sum(pred(sk0_4),succ(sk0_5)),sum(pred(sk0_5),succ(sk0_4)))
& sk0_7 = sum(sum(pred(sk0_4),succ(sk0_4)),sum(pred(sk0_5),succ(sk0_5)))
& sk0_8 = sum(sum(pred(sk0_6),succ(sk0_7)),sum(pred(sk0_7),succ(sk0_6)))
& sk0_9 = sum(sum(pred(sk0_6),succ(sk0_6)),sum(pred(sk0_7),succ(sk0_7)))
& sk0_10 = sum(sum(pred(sk0_8),succ(sk0_9)),sum(pred(sk0_9),succ(sk0_8)))
& sk0_11 = sum(sum(pred(sk0_8),succ(sk0_8)),sum(pred(sk0_9),succ(sk0_9)))
& sk0_12 = sum(sum(pred(sk0_10),succ(sk0_11)),sum(pred(sk0_11),succ(sk0_10)))
& sk0_13 = sum(sum(pred(sk0_10),succ(sk0_10)),sum(pred(sk0_11),succ(sk0_11)))
& sk0_14 = sum(sum(pred(sk0_12),succ(sk0_13)),sum(pred(sk0_13),succ(sk0_12)))
& sk0_15 = sum(sum(pred(sk0_12),succ(sk0_12)),sum(pred(sk0_13),succ(sk0_13)))
& sk0_16 = sum(sum(pred(sk0_14),succ(sk0_15)),sum(pred(sk0_15),succ(sk0_14)))
& sk0_17 = sum(sum(pred(sk0_14),succ(sk0_14)),sum(pred(sk0_15),succ(sk0_15)))
& sk0_18 = sum(sum(pred(sk0_16),succ(sk0_17)),sum(pred(sk0_17),succ(sk0_16)))
& sk0_19 = sum(sum(pred(sk0_16),succ(sk0_16)),sum(pred(sk0_17),succ(sk0_17)))
& ( sk0_0 != sk0_1
| sk0_2 != sk0_3
| sk0_4 != sk0_5
| sk0_6 != sk0_7
| sk0_8 != sk0_9
| sk0_10 != sk0_11
| sk0_12 != sk0_13
| sk0_14 != sk0_15
| sk0_16 != sk0_17
| sk0_18 != sk0_19 )
& n0 != n1
& n0 != n2
& n0 != n3
& n0 != n4
& n0 != n5
& n0 != n6
& n0 != n7
& n0 != n8
& n0 != n9
& n0 != n10
& n1 != n2
& n1 != n3
& n1 != n4
& n1 != n5
& n1 != n6
& n1 != n7
& n1 != n8
& n1 != n9
& n1 != n10
& n2 != n3
& n2 != n4
& n2 != n5
& n2 != n6
& n2 != n7
& n2 != n8
& n2 != n9
& n2 != n10
& n3 != n4
& n3 != n5
& n3 != n6
& n3 != n7
& n3 != n8
& n3 != n9
& n3 != n10
& n4 != n5
& n4 != n6
& n4 != n7
& n4 != n8
& n4 != n9
& n4 != n10
& n5 != n6
& n5 != n7
& n5 != n8
& n5 != n9
& n5 != n10
& n6 != n7
& n6 != n8
& n6 != n9
& n6 != n10
& n7 != n8
& n7 != n9
& n7 != n10
& n8 != n9
& n8 != n10
& n9 != n10 ),
inference(skolemization,[status(esa)],[f2]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
succ(n10) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
pred(n0) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
pred(n1) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f17,plain,
pred(n2) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
pred(n3) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
pred(n4) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f20,plain,
pred(n5) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
pred(n6) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f22,plain,
pred(n7) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f23,plain,
pred(n8) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f24,plain,
pred(n9) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f25,plain,
pred(n10) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f26,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f27,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f28,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f29,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f30,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f31,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f32,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f33,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f34,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f35,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f36,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f37,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f38,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f39,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f40,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f41,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f42,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f43,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f44,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f45,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f46,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f47,plain,
sum(n1,n10) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f48,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f49,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f50,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f51,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f52,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f53,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f54,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f55,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f56,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f57,plain,
sum(n2,n9) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f58,plain,
sum(n2,n10) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f59,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f60,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f61,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f62,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f63,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f64,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f65,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f66,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f67,plain,
sum(n3,n8) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f68,plain,
sum(n3,n9) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f69,plain,
sum(n3,n10) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f70,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f71,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f72,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f73,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f74,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f75,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f76,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f77,plain,
sum(n4,n7) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f78,plain,
sum(n4,n8) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f79,plain,
sum(n4,n9) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
sum(n4,n10) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f81,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f82,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f83,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f84,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f85,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f86,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f87,plain,
sum(n5,n6) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
sum(n5,n7) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f89,plain,
sum(n5,n8) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f90,plain,
sum(n5,n9) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f91,plain,
sum(n5,n10) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f93,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f94,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f95,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f96,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f97,plain,
sum(n6,n5) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f98,plain,
sum(n6,n6) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f99,plain,
sum(n6,n7) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f100,plain,
sum(n6,n8) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f101,plain,
sum(n6,n9) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
sum(n6,n10) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f103,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f104,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f105,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f106,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f107,plain,
sum(n7,n4) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f108,plain,
sum(n7,n5) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f109,plain,
sum(n7,n6) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f110,plain,
sum(n7,n7) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f111,plain,
sum(n7,n8) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f112,plain,
sum(n7,n9) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f113,plain,
sum(n7,n10) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f114,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f115,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f116,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f117,plain,
sum(n8,n3) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f118,plain,
sum(n8,n4) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f119,plain,
sum(n8,n5) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f120,plain,
sum(n8,n6) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f121,plain,
sum(n8,n7) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f122,plain,
sum(n8,n8) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f123,plain,
sum(n8,n9) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f124,plain,
sum(n8,n10) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f125,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f126,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f127,plain,
sum(n9,n2) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f128,plain,
sum(n9,n3) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f129,plain,
sum(n9,n4) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f130,plain,
sum(n9,n5) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f131,plain,
sum(n9,n6) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f132,plain,
sum(n9,n7) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f133,plain,
sum(n9,n8) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f134,plain,
sum(n9,n9) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f135,plain,
sum(n9,n10) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f136,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f137,plain,
sum(n10,n1) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f138,plain,
sum(n10,n2) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f139,plain,
sum(n10,n3) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f140,plain,
sum(n10,n4) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f141,plain,
sum(n10,n5) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f142,plain,
sum(n10,n6) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f143,plain,
sum(n10,n7) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f144,plain,
sum(n10,n8) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f145,plain,
sum(n10,n9) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f146,plain,
sum(n10,n10) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f147,plain,
( sk0_20 = n0
| sk0_20 = n1
| sk0_20 = n2
| sk0_20 = n3
| sk0_20 = n4
| sk0_20 = n5
| sk0_20 = n6
| sk0_20 = n7
| sk0_20 = n8
| sk0_20 = n9
| sk0_20 = n10 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f148,plain,
( sk0_21 = n0
| sk0_21 = n1
| sk0_21 = n2
| sk0_21 = n3
| sk0_21 = n4
| sk0_21 = n5
| sk0_21 = n6
| sk0_21 = n7
| sk0_21 = n8
| sk0_21 = n9
| sk0_21 = n10 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f149,plain,
sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(sk0_20))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f150,plain,
sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f151,plain,
sk0_2 = sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f152,plain,
sk0_3 = sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f153,plain,
sk0_4 = sum(sum(pred(sk0_2),succ(sk0_3)),sum(pred(sk0_3),succ(sk0_2))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f154,plain,
sk0_5 = sum(sum(pred(sk0_2),succ(sk0_2)),sum(pred(sk0_3),succ(sk0_3))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f155,plain,
sk0_6 = sum(sum(pred(sk0_4),succ(sk0_5)),sum(pred(sk0_5),succ(sk0_4))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f156,plain,
sk0_7 = sum(sum(pred(sk0_4),succ(sk0_4)),sum(pred(sk0_5),succ(sk0_5))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f157,plain,
sk0_8 = sum(sum(pred(sk0_6),succ(sk0_7)),sum(pred(sk0_7),succ(sk0_6))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f158,plain,
sk0_9 = sum(sum(pred(sk0_6),succ(sk0_6)),sum(pred(sk0_7),succ(sk0_7))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f159,plain,
sk0_10 = sum(sum(pred(sk0_8),succ(sk0_9)),sum(pred(sk0_9),succ(sk0_8))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f160,plain,
sk0_11 = sum(sum(pred(sk0_8),succ(sk0_8)),sum(pred(sk0_9),succ(sk0_9))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f161,plain,
sk0_12 = sum(sum(pred(sk0_10),succ(sk0_11)),sum(pred(sk0_11),succ(sk0_10))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f162,plain,
sk0_13 = sum(sum(pred(sk0_10),succ(sk0_10)),sum(pred(sk0_11),succ(sk0_11))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f163,plain,
sk0_14 = sum(sum(pred(sk0_12),succ(sk0_13)),sum(pred(sk0_13),succ(sk0_12))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f164,plain,
sk0_15 = sum(sum(pred(sk0_12),succ(sk0_12)),sum(pred(sk0_13),succ(sk0_13))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f165,plain,
sk0_16 = sum(sum(pred(sk0_14),succ(sk0_15)),sum(pred(sk0_15),succ(sk0_14))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f166,plain,
sk0_17 = sum(sum(pred(sk0_14),succ(sk0_14)),sum(pred(sk0_15),succ(sk0_15))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f167,plain,
sk0_18 = sum(sum(pred(sk0_16),succ(sk0_17)),sum(pred(sk0_17),succ(sk0_16))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f168,plain,
sk0_19 = sum(sum(pred(sk0_16),succ(sk0_16)),sum(pred(sk0_17),succ(sk0_17))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f169,plain,
( sk0_0 != sk0_1
| sk0_2 != sk0_3
| sk0_4 != sk0_5
| sk0_6 != sk0_7
| sk0_8 != sk0_9
| sk0_10 != sk0_11
| sk0_12 != sk0_13
| sk0_14 != sk0_15
| sk0_16 != sk0_17
| sk0_18 != sk0_19 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f225,plain,
( spl0_0
<=> sk0_20 = n0 ),
introduced(split_symbol_definition) ).
fof(f226,plain,
( sk0_20 = n0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( spl0_1
<=> sk0_20 = n1 ),
introduced(split_symbol_definition) ).
fof(f229,plain,
( sk0_20 = n1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( spl0_2
<=> sk0_20 = n2 ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( sk0_20 = n2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( spl0_3
<=> sk0_20 = n3 ),
introduced(split_symbol_definition) ).
fof(f235,plain,
( sk0_20 = n3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( spl0_4
<=> sk0_20 = n4 ),
introduced(split_symbol_definition) ).
fof(f238,plain,
( sk0_20 = n4
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,plain,
( spl0_5
<=> sk0_20 = n5 ),
introduced(split_symbol_definition) ).
fof(f241,plain,
( sk0_20 = n5
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( spl0_6
<=> sk0_20 = n6 ),
introduced(split_symbol_definition) ).
fof(f244,plain,
( sk0_20 = n6
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,plain,
( spl0_7
<=> sk0_20 = n7 ),
introduced(split_symbol_definition) ).
fof(f247,plain,
( sk0_20 = n7
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( spl0_8
<=> sk0_20 = n8 ),
introduced(split_symbol_definition) ).
fof(f250,plain,
( sk0_20 = n8
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( spl0_9
<=> sk0_20 = n9 ),
introduced(split_symbol_definition) ).
fof(f253,plain,
( sk0_20 = n9
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( spl0_10
<=> sk0_20 = n10 ),
introduced(split_symbol_definition) ).
fof(f256,plain,
( sk0_20 = n10
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(split_clause,[status(thm)],[f147,f225,f228,f231,f234,f237,f240,f243,f246,f249,f252,f255]) ).
fof(f259,plain,
( spl0_11
<=> sk0_21 = n0 ),
introduced(split_symbol_definition) ).
fof(f260,plain,
( sk0_21 = n0
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,plain,
( spl0_12
<=> sk0_21 = n1 ),
introduced(split_symbol_definition) ).
fof(f263,plain,
( sk0_21 = n1
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( spl0_13
<=> sk0_21 = n2 ),
introduced(split_symbol_definition) ).
fof(f266,plain,
( sk0_21 = n2
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( spl0_14
<=> sk0_21 = n3 ),
introduced(split_symbol_definition) ).
fof(f269,plain,
( sk0_21 = n3
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( spl0_15
<=> sk0_21 = n4 ),
introduced(split_symbol_definition) ).
fof(f272,plain,
( sk0_21 = n4
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( spl0_16
<=> sk0_21 = n5 ),
introduced(split_symbol_definition) ).
fof(f275,plain,
( sk0_21 = n5
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,plain,
( spl0_17
<=> sk0_21 = n6 ),
introduced(split_symbol_definition) ).
fof(f278,plain,
( sk0_21 = n6
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,plain,
( spl0_18
<=> sk0_21 = n7 ),
introduced(split_symbol_definition) ).
fof(f281,plain,
( sk0_21 = n7
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( spl0_19
<=> sk0_21 = n8 ),
introduced(split_symbol_definition) ).
fof(f284,plain,
( sk0_21 = n8
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( spl0_20
<=> sk0_21 = n9 ),
introduced(split_symbol_definition) ).
fof(f287,plain,
( sk0_21 = n9
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( spl0_21
<=> sk0_21 = n10 ),
introduced(split_symbol_definition) ).
fof(f290,plain,
( sk0_21 = n10
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20
| spl0_21 ),
inference(split_clause,[status(thm)],[f148,f259,f262,f265,f268,f271,f274,f277,f280,f283,f286,f289]) ).
fof(f293,plain,
( spl0_22
<=> sk0_0 = sk0_1 ),
introduced(split_symbol_definition) ).
fof(f294,plain,
( sk0_0 = sk0_1
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f295,plain,
( sk0_0 != sk0_1
| spl0_22 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,plain,
( spl0_23
<=> sk0_2 = sk0_3 ),
introduced(split_symbol_definition) ).
fof(f297,plain,
( sk0_2 = sk0_3
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f298,plain,
( sk0_2 != sk0_3
| spl0_23 ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( spl0_24
<=> sk0_4 = sk0_5 ),
introduced(split_symbol_definition) ).
fof(f302,plain,
( spl0_25
<=> sk0_6 = sk0_7 ),
introduced(split_symbol_definition) ).
fof(f303,plain,
( sk0_6 = sk0_7
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sk0_6 != sk0_7
| spl0_25 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( spl0_26
<=> sk0_8 = sk0_9 ),
introduced(split_symbol_definition) ).
fof(f306,plain,
( sk0_8 = sk0_9
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f307,plain,
( sk0_8 != sk0_9
| spl0_26 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( spl0_27
<=> sk0_10 = sk0_11 ),
introduced(split_symbol_definition) ).
fof(f309,plain,
( sk0_10 = sk0_11
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sk0_10 != sk0_11
| spl0_27 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( spl0_28
<=> sk0_12 = sk0_13 ),
introduced(split_symbol_definition) ).
fof(f314,plain,
( spl0_29
<=> sk0_14 = sk0_15 ),
introduced(split_symbol_definition) ).
fof(f316,plain,
( sk0_14 != sk0_15
| spl0_29 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( spl0_30
<=> sk0_16 = sk0_17 ),
introduced(split_symbol_definition) ).
fof(f318,plain,
( sk0_16 = sk0_17
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( sk0_16 != sk0_17
| spl0_30 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( spl0_31
<=> sk0_18 = sk0_19 ),
introduced(split_symbol_definition) ).
fof(f322,plain,
( sk0_18 != sk0_19
| spl0_31 ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28
| ~ spl0_29
| ~ spl0_30
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f169,f293,f296,f299,f302,f305,f308,f311,f314,f317,f320]) ).
fof(f353,plain,
( sk0_0 = sum(sum(pred(n10),succ(sk0_21)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f256,f149]) ).
fof(f354,plain,
( sk0_0 = sum(sum(n9,succ(sk0_21)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f353]) ).
fof(f355,plain,
( sk0_0 = sum(sum(n9,succ(n0)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f260,f354]) ).
fof(f356,plain,
( sk0_0 = sum(sum(n9,n1),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f4,f355]) ).
fof(f357,plain,
( sk0_0 = sum(n10,sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f126,f356]) ).
fof(f358,plain,
( sk0_0 = sum(n10,sum(pred(n0),succ(sk0_20)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f260,f357]) ).
fof(f359,plain,
( sk0_0 = sum(n10,sum(n10,succ(sk0_20)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f15,f358]) ).
fof(f360,plain,
( sk0_0 = sum(n10,sum(n10,succ(n10)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f256,f359]) ).
fof(f361,plain,
( sk0_0 = sum(n10,sum(n10,n0))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f360]) ).
fof(f362,plain,
( sk0_0 = sum(n10,n10)
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f136,f361]) ).
fof(f363,plain,
( sk0_0 = n9
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f146,f362]) ).
fof(f364,plain,
( n9 != sk0_1
| ~ spl0_11
| ~ spl0_10
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f363,f295]) ).
fof(f365,plain,
( sk0_1 = sum(sum(pred(n10),succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f256,f150]) ).
fof(f366,plain,
( sk0_1 = sum(sum(n9,succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f365]) ).
fof(f367,plain,
( sk0_1 = sum(sum(n9,succ(n10)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f256,f366]) ).
fof(f368,plain,
( sk0_1 = sum(sum(n9,n0),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f367]) ).
fof(f369,plain,
( sk0_1 = sum(n9,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f368]) ).
fof(f370,plain,
( sk0_1 = sum(n9,sum(pred(n0),succ(sk0_21)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f260,f369]) ).
fof(f371,plain,
( sk0_1 = sum(n9,sum(n10,succ(sk0_21)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f15,f370]) ).
fof(f372,plain,
( sk0_1 = sum(n9,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f260,f371]) ).
fof(f373,plain,
( sk0_1 = sum(n9,sum(n10,n1))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f4,f372]) ).
fof(f374,plain,
( sk0_1 = sum(n9,n0)
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f137,f373]) ).
fof(f375,plain,
( sk0_1 = n9
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f374]) ).
fof(f506,plain,
( n9 != n9
| ~ spl0_11
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f375,f364]) ).
fof(f507,plain,
( $false
| ~ spl0_11
| ~ spl0_10
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f506]) ).
fof(f508,plain,
( ~ spl0_11
| ~ spl0_10
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f507]) ).
fof(f512,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(pred(n0),succ(sk0_21)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f260,f150]) ).
fof(f513,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(n10,succ(sk0_21)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f15,f512]) ).
fof(f514,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(n10,succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f260,f513]) ).
fof(f515,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(n10,n1))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f4,f514]) ).
fof(f516,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),n0)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f137,f515]) ).
fof(f517,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(n0)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f260,f149]) ).
fof(f518,plain,
( sk0_0 = sum(sum(pred(sk0_20),n1),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f4,f517]) ).
fof(f519,plain,
( sk0_0 = sum(sum(pred(sk0_20),n1),sum(pred(n0),succ(sk0_20)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f260,f518]) ).
fof(f520,plain,
( sk0_0 = sum(sum(pred(sk0_20),n1),sum(n10,succ(sk0_20)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f15,f519]) ).
fof(f533,plain,
( sk0_2 = sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_0),succ(sk0_0)))
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f294,f151]) ).
fof(f534,plain,
( sk0_2 = sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_0),succ(sk0_0)))
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f294,f533]) ).
fof(f535,plain,
( sk0_3 = sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_0)))
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f294,f152]) ).
fof(f536,plain,
( sk0_3 = sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_0),succ(sk0_0)))
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f294,f535]) ).
fof(f631,plain,
( sk0_2 = sk0_3
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f536,f534]) ).
fof(f632,plain,
( $false
| spl0_23
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f298]) ).
fof(f633,plain,
( spl0_23
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f634,plain,
( sk0_1 = sum(sum(pred(n7),succ(sk0_20)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f247,f516]) ).
fof(f635,plain,
( sk0_1 = sum(sum(n6,succ(sk0_20)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f22,f634]) ).
fof(f636,plain,
( sk0_1 = sum(sum(n6,succ(n7)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f247,f635]) ).
fof(f637,plain,
( sk0_1 = sum(sum(n6,n8),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f11,f636]) ).
fof(f638,plain,
( sk0_1 = sum(n3,n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f100,f637]) ).
fof(f639,plain,
( sk0_1 = n3
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f59,f638]) ).
fof(f640,plain,
( sk0_0 = sum(sum(pred(n7),n1),sum(n10,succ(sk0_20)))
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f247,f520]) ).
fof(f641,plain,
( sk0_0 = sum(sum(n6,n1),sum(n10,succ(sk0_20)))
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f22,f640]) ).
fof(f642,plain,
( sk0_0 = sum(n7,sum(n10,succ(sk0_20)))
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f93,f641]) ).
fof(f643,plain,
( sk0_0 = sum(n7,sum(n10,succ(n7)))
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f247,f642]) ).
fof(f644,plain,
( sk0_0 = sum(n7,sum(n10,n8))
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f11,f643]) ).
fof(f645,plain,
( sk0_0 = sum(n7,n7)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f144,f644]) ).
fof(f646,plain,
( sk0_0 = n3
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f110,f645]) ).
fof(f656,plain,
( n3 != sk0_1
| ~ spl0_7
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f646,f295]) ).
fof(f657,plain,
( n3 != n3
| ~ spl0_7
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f639,f656]) ).
fof(f658,plain,
( $false
| ~ spl0_7
| ~ spl0_11
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f657]) ).
fof(f659,plain,
( ~ spl0_7
| ~ spl0_11
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f660,plain,
( sk0_0 = sum(sum(pred(n7),succ(sk0_21)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f149]) ).
fof(f661,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f660]) ).
fof(f662,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f661]) ).
fof(f663,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(sk0_21),n8))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f662]) ).
fof(f664,plain,
( sk0_1 = sum(sum(pred(n7),succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f150]) ).
fof(f665,plain,
( sk0_1 = sum(sum(n6,succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f664]) ).
fof(f666,plain,
( sk0_1 = sum(sum(n6,succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f665]) ).
fof(f667,plain,
( sk0_1 = sum(sum(n6,n8),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f666]) ).
fof(f668,plain,
( sk0_1 = sum(n3,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f667]) ).
fof(f670,plain,
( sk0_5 = sum(sum(pred(sk0_2),succ(sk0_2)),sum(pred(sk0_3),succ(sk0_2)))
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f297,f154]) ).
fof(f671,plain,
( sk0_5 = sum(sum(pred(sk0_2),succ(sk0_2)),sum(pred(sk0_2),succ(sk0_2)))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f297,f670]) ).
fof(f672,plain,
( sk0_4 = sum(sum(pred(sk0_2),succ(sk0_3)),sum(pred(sk0_2),succ(sk0_2)))
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f297,f153]) ).
fof(f673,plain,
( sk0_4 = sum(sum(pred(sk0_2),succ(sk0_2)),sum(pred(sk0_2),succ(sk0_2)))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f297,f672]) ).
fof(f767,plain,
( sk0_5 = sk0_4
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f673,f671]) ).
fof(f767_001,plain,
( sk0_5 = sk0_4
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f673,f671]) ).
fof(f768,plain,
( sk0_7 = sum(sum(pred(sk0_4),succ(sk0_4)),sum(pred(sk0_5),succ(sk0_4)))
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f767,f156]) ).
fof(f769,plain,
( sk0_7 = sum(sum(pred(sk0_4),succ(sk0_4)),sum(pred(sk0_4),succ(sk0_4)))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f767,f768]) ).
fof(f770,plain,
( sk0_6 = sum(sum(pred(sk0_4),succ(sk0_5)),sum(pred(sk0_4),succ(sk0_4)))
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f767,f155]) ).
fof(f771,plain,
( sk0_6 = sum(sum(pred(sk0_4),succ(sk0_4)),sum(pred(sk0_4),succ(sk0_4)))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f767,f770]) ).
fof(f772,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f253,f149]) ).
fof(f773,plain,
( sk0_0 = sum(sum(pred(n9),succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f253,f772]) ).
fof(f774,plain,
( sk0_0 = sum(sum(n8,succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f773]) ).
fof(f775,plain,
( sk0_0 = sum(sum(n8,succ(sk0_21)),sum(pred(sk0_21),n10))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f774]) ).
fof(f776,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n9)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f253,f150]) ).
fof(f777,plain,
( sk0_1 = sum(sum(pred(n9),succ(n9)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f253,f776]) ).
fof(f778,plain,
( sk0_1 = sum(sum(n8,succ(n9)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f777]) ).
fof(f779,plain,
( sk0_1 = sum(sum(n8,n10),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f778]) ).
fof(f780,plain,
( sk0_1 = sum(n7,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f779]) ).
fof(f797,plain,
( sk0_1 = sum(n7,sum(pred(n2),succ(sk0_21)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f266,f780]) ).
fof(f798,plain,
( sk0_1 = sum(n7,sum(n1,succ(sk0_21)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f17,f797]) ).
fof(f799,plain,
( sk0_1 = sum(n7,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f266,f798]) ).
fof(f800,plain,
( sk0_1 = sum(n7,sum(n1,n3))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f6,f799]) ).
fof(f801,plain,
( sk0_1 = sum(n7,n4)
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f40,f800]) ).
fof(f802,plain,
( sk0_1 = n0
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f107,f801]) ).
fof(f803,plain,
( sk0_0 != n0
| ~ spl0_13
| ~ spl0_9
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f802,f295]) ).
fof(f808,plain,
( sk0_0 = sum(sum(n8,succ(n2)),sum(pred(sk0_21),n10))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f266,f775]) ).
fof(f809,plain,
( sk0_0 = sum(sum(n8,n3),sum(pred(sk0_21),n10))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f6,f808]) ).
fof(f810,plain,
( sk0_0 = sum(n0,sum(pred(sk0_21),n10))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f117,f809]) ).
fof(f811,plain,
( sk0_0 = sum(n0,sum(pred(n2),n10))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f266,f810]) ).
fof(f812,plain,
( sk0_0 = sum(n0,sum(n1,n10))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f17,f811]) ).
fof(f813,plain,
( sk0_0 = sum(n0,n0)
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f47,f812]) ).
fof(f814,plain,
( sk0_0 = n0
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f26,f813]) ).
fof(f815,plain,
( $false
| spl0_22
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f814,f803]) ).
fof(f816,plain,
( spl0_22
| ~ spl0_13
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f815]) ).
fof(f817,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f247,f150]) ).
fof(f818,plain,
( sk0_1 = sum(sum(pred(n7),succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f817]) ).
fof(f819,plain,
( sk0_1 = sum(sum(n6,succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f818]) ).
fof(f820,plain,
( sk0_1 = sum(sum(n6,n8),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f819]) ).
fof(f821,plain,
( sk0_1 = sum(n3,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f820]) ).
fof(f822,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f247,f149]) ).
fof(f823,plain,
( sk0_0 = sum(sum(pred(n7),succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f822]) ).
fof(f824,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f823]) ).
fof(f825,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(sk0_21),n8))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f824]) ).
fof(f847,plain,
( sk0_6 = sk0_7
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f769,f771]) ).
fof(f848,plain,
( $false
| spl0_25
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f304]) ).
fof(f849,plain,
( spl0_25
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f848]) ).
fof(f855,plain,
( sk0_0 = sum(sum(n6,succ(n3)),sum(pred(sk0_21),n8))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f269,f663]) ).
fof(f856,plain,
( sk0_0 = sum(sum(n6,n4),sum(pred(sk0_21),n8))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f7,f855]) ).
fof(f857,plain,
( sk0_0 = sum(n10,sum(pred(sk0_21),n8))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f96,f856]) ).
fof(f858,plain,
( sk0_0 = sum(n10,sum(pred(n3),n8))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f269,f857]) ).
fof(f859,plain,
( sk0_0 = sum(n10,sum(n2,n8))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f18,f858]) ).
fof(f860,plain,
( sk0_0 = sum(n10,n10)
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f56,f859]) ).
fof(f861,plain,
( sk0_0 = n9
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f146,f860]) ).
fof(f871,plain,
( n9 != sk0_1
| ~ spl0_14
| ~ spl0_7
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f861,f295]) ).
fof(f872,plain,
( sk0_8 = sum(sum(pred(sk0_6),succ(sk0_7)),sum(pred(sk0_6),succ(sk0_6)))
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f303,f157]) ).
fof(f873,plain,
( sk0_8 = sum(sum(pred(sk0_6),succ(sk0_6)),sum(pred(sk0_6),succ(sk0_6)))
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f303,f872]) ).
fof(f874,plain,
( sk0_9 = sum(sum(pred(sk0_6),succ(sk0_6)),sum(pred(sk0_7),succ(sk0_6)))
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f303,f158]) ).
fof(f875,plain,
( sk0_9 = sum(sum(pred(sk0_6),succ(sk0_6)),sum(pred(sk0_6),succ(sk0_6)))
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f303,f874]) ).
fof(f876,plain,
( sk0_1 = sum(n3,sum(pred(n3),succ(sk0_21)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f269,f668]) ).
fof(f877,plain,
( sk0_1 = sum(n3,sum(n2,succ(sk0_21)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f18,f876]) ).
fof(f878,plain,
( sk0_1 = sum(n3,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f269,f877]) ).
fof(f879,plain,
( sk0_1 = sum(n3,sum(n2,n4))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f7,f878]) ).
fof(f880,plain,
( sk0_1 = sum(n3,n6)
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f52,f879]) ).
fof(f881,plain,
( sk0_1 = n9
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f65,f880]) ).
fof(f882,plain,
( $false
| spl0_22
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f881,f871]) ).
fof(f883,plain,
( spl0_22
| ~ spl0_14
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f882]) ).
fof(f893,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f253,f149]) ).
fof(f894,plain,
( sk0_0 = sum(sum(pred(n9),succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f253,f893]) ).
fof(f895,plain,
( sk0_0 = sum(sum(n8,succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f894]) ).
fof(f896,plain,
( sk0_0 = sum(sum(n8,succ(sk0_21)),sum(pred(sk0_21),n10))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f895]) ).
fof(f908,plain,
( sk0_9 = sk0_8
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f873,f875]) ).
fof(f909,plain,
( $false
| spl0_26
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f908,f307]) ).
fof(f910,plain,
( spl0_26
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f923,plain,
( sk0_10 = sum(sum(pred(sk0_8),succ(sk0_9)),sum(pred(sk0_8),succ(sk0_8)))
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f306,f159]) ).
fof(f924,plain,
( sk0_10 = sum(sum(pred(sk0_8),succ(sk0_8)),sum(pred(sk0_8),succ(sk0_8)))
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f306,f923]) ).
fof(f925,plain,
( sk0_11 = sum(sum(pred(sk0_8),succ(sk0_8)),sum(pred(sk0_9),succ(sk0_8)))
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f306,f160]) ).
fof(f926,plain,
( sk0_11 = sum(sum(pred(sk0_8),succ(sk0_8)),sum(pred(sk0_8),succ(sk0_8)))
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f306,f925]) ).
fof(f927,plain,
( sk0_1 = sum(n7,sum(pred(n4),succ(sk0_21)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f272,f780]) ).
fof(f928,plain,
( sk0_1 = sum(n7,sum(n3,succ(sk0_21)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f19,f927]) ).
fof(f929,plain,
( sk0_1 = sum(n7,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f272,f928]) ).
fof(f930,plain,
( sk0_1 = sum(n7,sum(n3,n5))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f8,f929]) ).
fof(f931,plain,
( sk0_1 = sum(n7,n8)
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f64,f930]) ).
fof(f932,plain,
( sk0_1 = n4
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f111,f931]) ).
fof(f933,plain,
( sk0_0 != n4
| ~ spl0_15
| ~ spl0_9
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f932,f295]) ).
fof(f949,plain,
( sk0_0 = sum(sum(n8,succ(n4)),sum(pred(sk0_21),n10))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f272,f775]) ).
fof(f950,plain,
( sk0_0 = sum(sum(n8,n5),sum(pred(sk0_21),n10))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f8,f949]) ).
fof(f951,plain,
( sk0_0 = sum(n2,sum(pred(sk0_21),n10))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f119,f950]) ).
fof(f952,plain,
( sk0_0 = sum(n2,sum(pred(n4),n10))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f272,f951]) ).
fof(f953,plain,
( sk0_0 = sum(n2,sum(n3,n10))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f19,f952]) ).
fof(f954,plain,
( sk0_0 = sum(n2,n2)
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f69,f953]) ).
fof(f955,plain,
( sk0_0 = n4
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f50,f954]) ).
fof(f956,plain,
( $false
| spl0_22
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f955,f933]) ).
fof(f957,plain,
( spl0_22
| ~ spl0_15
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f956]) ).
fof(f965,plain,
( sk0_11 = sk0_10
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f924,f926]) ).
fof(f966,plain,
( $false
| spl0_27
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f965,f310]) ).
fof(f967,plain,
( spl0_27
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f966]) ).
fof(f968,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f247,f150]) ).
fof(f969,plain,
( sk0_1 = sum(sum(pred(n7),succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f968]) ).
fof(f970,plain,
( sk0_1 = sum(sum(n6,succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f969]) ).
fof(f971,plain,
( sk0_1 = sum(sum(n6,n8),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f970]) ).
fof(f972,plain,
( sk0_1 = sum(n3,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f971]) ).
fof(f973,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f247,f149]) ).
fof(f974,plain,
( sk0_0 = sum(sum(pred(n7),succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f973]) ).
fof(f975,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f974]) ).
fof(f976,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(sk0_21),n8))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f975]) ).
fof(f1000,plain,
( sk0_1 = sum(n3,sum(pred(n5),succ(sk0_21)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f275,f821]) ).
fof(f1001,plain,
( sk0_1 = sum(n3,sum(n4,succ(sk0_21)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f20,f1000]) ).
fof(f1002,plain,
( sk0_1 = sum(n3,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f275,f1001]) ).
fof(f1003,plain,
( sk0_1 = sum(n3,sum(n4,n6))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f9,f1002]) ).
fof(f1004,plain,
( sk0_1 = sum(n3,n10)
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f76,f1003]) ).
fof(f1005,plain,
( sk0_1 = n2
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f69,f1004]) ).
fof(f1015,plain,
( sk0_0 = sum(sum(n6,succ(n5)),sum(pred(sk0_21),n8))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f275,f825]) ).
fof(f1016,plain,
( sk0_0 = sum(sum(n6,n6),sum(pred(sk0_21),n8))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f9,f1015]) ).
fof(f1017,plain,
( sk0_0 = sum(n1,sum(pred(sk0_21),n8))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f98,f1016]) ).
fof(f1018,plain,
( sk0_0 = sum(n1,sum(pred(n5),n8))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f275,f1017]) ).
fof(f1019,plain,
( sk0_0 = sum(n1,sum(n4,n8))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f20,f1018]) ).
fof(f1020,plain,
( sk0_0 = sum(n1,n1)
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f78,f1019]) ).
fof(f1021,plain,
( sk0_0 = n2
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f38,f1020]) ).
fof(f1035,plain,
( n2 != sk0_1
| ~ spl0_16
| ~ spl0_7
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f1021,f295]) ).
fof(f1036,plain,
( n2 != n2
| ~ spl0_16
| ~ spl0_7
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f1005,f1035]) ).
fof(f1037,plain,
( $false
| ~ spl0_16
| ~ spl0_7
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f1036]) ).
fof(f1038,plain,
( ~ spl0_16
| ~ spl0_7
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f1037]) ).
fof(f1041,plain,
( sk0_12 = sum(sum(pred(sk0_10),succ(sk0_11)),sum(pred(sk0_10),succ(sk0_10)))
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f309,f161]) ).
fof(f1042,plain,
( sk0_12 = sum(sum(pred(sk0_10),succ(sk0_10)),sum(pred(sk0_10),succ(sk0_10)))
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f309,f1041]) ).
fof(f1043,plain,
( sk0_13 = sum(sum(pred(sk0_10),succ(sk0_10)),sum(pred(sk0_11),succ(sk0_10)))
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f309,f162]) ).
fof(f1044,plain,
( sk0_13 = sum(sum(pred(sk0_10),succ(sk0_10)),sum(pred(sk0_10),succ(sk0_10)))
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f309,f1043]) ).
fof(f1058,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f253,f149]) ).
fof(f1059,plain,
( sk0_0 = sum(sum(pred(n9),succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f253,f1058]) ).
fof(f1060,plain,
( sk0_0 = sum(sum(n8,succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f1059]) ).
fof(f1061,plain,
( sk0_0 = sum(sum(n8,succ(sk0_21)),sum(pred(sk0_21),n10))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f1060]) ).
fof(f1062,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n9)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f253,f150]) ).
fof(f1063,plain,
( sk0_1 = sum(sum(pred(n9),succ(n9)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f253,f1062]) ).
fof(f1064,plain,
( sk0_1 = sum(sum(n8,succ(n9)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f1063]) ).
fof(f1065,plain,
( sk0_1 = sum(sum(n8,n10),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f1064]) ).
fof(f1066,plain,
( sk0_1 = sum(n7,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f1065]) ).
fof(f1347,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f247,f150]) ).
fof(f1348,plain,
( sk0_1 = sum(sum(pred(n7),succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f1347]) ).
fof(f1349,plain,
( sk0_1 = sum(sum(n6,succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f1348]) ).
fof(f1350,plain,
( sk0_1 = sum(sum(n6,n8),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f1349]) ).
fof(f1351,plain,
( sk0_1 = sum(n3,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f1350]) ).
fof(f1352,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f247,f149]) ).
fof(f1353,plain,
( sk0_0 = sum(sum(pred(n7),succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f1352]) ).
fof(f1354,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f1353]) ).
fof(f1355,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(sk0_21),n8))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f1354]) ).
fof(f1374,plain,
( sk0_1 = sum(n3,sum(pred(n7),succ(sk0_21)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f281,f972]) ).
fof(f1375,plain,
( sk0_1 = sum(n3,sum(n6,succ(sk0_21)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f1374]) ).
fof(f1376,plain,
( sk0_1 = sum(n3,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f281,f1375]) ).
fof(f1377,plain,
( sk0_1 = sum(n3,sum(n6,n8))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f1376]) ).
fof(f1378,plain,
( sk0_1 = sum(n3,n3)
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f1377]) ).
fof(f1379,plain,
( sk0_1 = n6
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f62,f1378]) ).
fof(f1410,plain,
( sk0_0 = sum(sum(n6,succ(n7)),sum(pred(sk0_21),n8))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f281,f976]) ).
fof(f1411,plain,
( sk0_0 = sum(sum(n6,n8),sum(pred(sk0_21),n8))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f1410]) ).
fof(f1412,plain,
( sk0_0 = sum(n3,sum(pred(sk0_21),n8))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f1411]) ).
fof(f1413,plain,
( sk0_0 = sum(n3,sum(pred(n7),n8))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f281,f1412]) ).
fof(f1414,plain,
( sk0_0 = sum(n3,sum(n6,n8))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f1413]) ).
fof(f1415,plain,
( sk0_0 = sum(n3,n3)
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f1414]) ).
fof(f1416,plain,
( sk0_0 = n6
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f62,f1415]) ).
fof(f1612,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f253,f149]) ).
fof(f1613,plain,
( sk0_0 = sum(sum(pred(n9),succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f253,f1612]) ).
fof(f1614,plain,
( sk0_0 = sum(sum(n8,succ(sk0_21)),sum(pred(sk0_21),succ(n9)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f1613]) ).
fof(f1615,plain,
( sk0_0 = sum(sum(n8,succ(sk0_21)),sum(pred(sk0_21),n10))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f1614]) ).
fof(f1616,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n9)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f253,f150]) ).
fof(f1617,plain,
( sk0_1 = sum(sum(pred(n9),succ(n9)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f253,f1616]) ).
fof(f1618,plain,
( sk0_1 = sum(sum(n8,succ(n9)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f1617]) ).
fof(f1619,plain,
( sk0_1 = sum(sum(n8,n10),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f1618]) ).
fof(f1620,plain,
( sk0_1 = sum(n7,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f1619]) ).
fof(f1640,plain,
( sk0_1 = sum(n7,sum(pred(n8),succ(sk0_21)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f284,f1066]) ).
fof(f1641,plain,
( sk0_1 = sum(n7,sum(n7,succ(sk0_21)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f23,f1640]) ).
fof(f1642,plain,
( sk0_1 = sum(n7,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f284,f1641]) ).
fof(f1643,plain,
( sk0_1 = sum(n7,sum(n7,n9))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f12,f1642]) ).
fof(f1644,plain,
( sk0_1 = sum(n7,n5)
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f112,f1643]) ).
fof(f1645,plain,
( sk0_1 = n1
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f108,f1644]) ).
fof(f1673,plain,
( sk0_0 = sum(sum(n8,succ(n8)),sum(pred(sk0_21),n10))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f284,f1061]) ).
fof(f1674,plain,
( sk0_0 = sum(sum(n8,n9),sum(pred(sk0_21),n10))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f12,f1673]) ).
fof(f1675,plain,
( sk0_0 = sum(n6,sum(pred(sk0_21),n10))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f123,f1674]) ).
fof(f1676,plain,
( sk0_0 = sum(n6,sum(pred(n8),n10))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f284,f1675]) ).
fof(f1677,plain,
( sk0_0 = sum(n6,sum(n7,n10))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f23,f1676]) ).
fof(f1678,plain,
( sk0_0 = sum(n6,n6)
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f113,f1677]) ).
fof(f1679,plain,
( sk0_0 = n1
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f98,f1678]) ).
fof(f1916,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(pred(sk0_21),succ(n1)))
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f263,f150]) ).
fof(f1917,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(pred(n1),succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f263,f1916]) ).
fof(f1918,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(n0,succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f16,f1917]) ).
fof(f1919,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(n0,n2))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f5,f1918]) ).
fof(f1920,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),n2)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f28,f1919]) ).
fof(f1921,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(n1),succ(sk0_20)))
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f263,f149]) ).
fof(f1922,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(n1)),sum(pred(n1),succ(sk0_20)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f263,f1921]) ).
fof(f1923,plain,
( sk0_0 = sum(sum(pred(sk0_20),n2),sum(pred(n1),succ(sk0_20)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f5,f1922]) ).
fof(f1924,plain,
( sk0_0 = sum(sum(pred(sk0_20),n2),sum(n0,succ(sk0_20)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f16,f1923]) ).
fof(f1934,plain,
( sk0_1 = sum(n3,sum(pred(n1),succ(sk0_21)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f263,f1351]) ).
fof(f1935,plain,
( sk0_1 = sum(n3,sum(n0,succ(sk0_21)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f16,f1934]) ).
fof(f1936,plain,
( sk0_1 = sum(n3,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f263,f1935]) ).
fof(f1937,plain,
( sk0_1 = sum(n3,sum(n0,n2))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f5,f1936]) ).
fof(f1938,plain,
( sk0_1 = sum(n3,n2)
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f28,f1937]) ).
fof(f1939,plain,
( sk0_1 = n5
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f61,f1938]) ).
fof(f1940,plain,
( sk0_0 != n5
| ~ spl0_12
| ~ spl0_7
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f1939,f295]) ).
fof(f1950,plain,
( sk0_12 = sk0_13
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f1044,f1042]) ).
fof(f1950_002,plain,
( sk0_12 = sk0_13
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f1044,f1042]) ).
fof(f1952,plain,
( sk0_14 = sum(sum(pred(sk0_12),succ(sk0_13)),sum(pred(sk0_12),succ(sk0_12)))
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f1950,f163]) ).
fof(f1953,plain,
( sk0_14 = sum(sum(pred(sk0_12),succ(sk0_12)),sum(pred(sk0_12),succ(sk0_12)))
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f1950,f1952]) ).
fof(f1954,plain,
( sk0_15 = sum(sum(pred(sk0_12),succ(sk0_12)),sum(pred(sk0_13),succ(sk0_12)))
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f1950,f164]) ).
fof(f1955,plain,
( sk0_15 = sum(sum(pred(sk0_12),succ(sk0_12)),sum(pred(sk0_12),succ(sk0_12)))
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f1950,f1954]) ).
fof(f1982,plain,
( sk0_0 = sum(sum(n6,succ(n1)),sum(pred(sk0_21),n8))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f263,f1355]) ).
fof(f1983,plain,
( sk0_0 = sum(sum(n6,n2),sum(pred(sk0_21),n8))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f5,f1982]) ).
fof(f1984,plain,
( sk0_0 = sum(n8,sum(pred(sk0_21),n8))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f94,f1983]) ).
fof(f1985,plain,
( sk0_0 = sum(n8,sum(pred(n1),n8))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f263,f1984]) ).
fof(f1986,plain,
( sk0_0 = sum(n8,sum(n0,n8))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f16,f1985]) ).
fof(f1987,plain,
( sk0_0 = sum(n8,n8)
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f34,f1986]) ).
fof(f1988,plain,
( sk0_0 = n5
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f122,f1987]) ).
fof(f1989,plain,
( $false
| spl0_22
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1988,f1940]) ).
fof(f1990,plain,
( spl0_22
| ~ spl0_12
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1989]) ).
fof(f2001,plain,
( sk0_1 = sum(sum(pred(n3),succ(sk0_20)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f235,f1920]) ).
fof(f2002,plain,
( sk0_1 = sum(sum(n2,succ(sk0_20)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f18,f2001]) ).
fof(f2003,plain,
( sk0_1 = sum(sum(n2,succ(n3)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f235,f2002]) ).
fof(f2004,plain,
( sk0_1 = sum(sum(n2,n4),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f7,f2003]) ).
fof(f2005,plain,
( sk0_1 = sum(n6,n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f52,f2004]) ).
fof(f2006,plain,
( sk0_1 = n8
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f94,f2005]) ).
fof(f2011,plain,
( sk0_0 = sum(sum(pred(n3),n2),sum(n0,succ(sk0_20)))
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f235,f1924]) ).
fof(f2012,plain,
( sk0_0 = sum(sum(n2,n2),sum(n0,succ(sk0_20)))
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f18,f2011]) ).
fof(f2013,plain,
( sk0_0 = sum(n4,sum(n0,succ(sk0_20)))
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f50,f2012]) ).
fof(f2014,plain,
( sk0_0 = sum(n4,sum(n0,succ(n3)))
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f235,f2013]) ).
fof(f2015,plain,
( sk0_0 = sum(n4,sum(n0,n4))
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f7,f2014]) ).
fof(f2016,plain,
( sk0_0 = sum(n4,n4)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f30,f2015]) ).
fof(f2017,plain,
( sk0_0 = n8
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f74,f2016]) ).
fof(f2383,plain,
( n8 != sk0_1
| ~ spl0_3
| ~ spl0_12
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f2017,f295]) ).
fof(f2384,plain,
( n8 != n8
| ~ spl0_3
| ~ spl0_12
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f2006,f2383]) ).
fof(f2385,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f2384]) ).
fof(f2386,plain,
( ~ spl0_3
| ~ spl0_12
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2385]) ).
fof(f2459,plain,
( sk0_19 = sum(sum(pred(sk0_16),succ(sk0_16)),sum(pred(sk0_17),succ(sk0_16)))
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f318,f168]) ).
fof(f2460,plain,
( sk0_19 = sum(sum(pred(sk0_16),succ(sk0_16)),sum(pred(sk0_16),succ(sk0_16)))
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f318,f2459]) ).
fof(f2461,plain,
( sk0_18 = sum(sum(pred(sk0_16),succ(sk0_17)),sum(pred(sk0_16),succ(sk0_16)))
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f318,f167]) ).
fof(f2462,plain,
( sk0_18 = sum(sum(pred(sk0_16),succ(sk0_16)),sum(pred(sk0_16),succ(sk0_16)))
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f318,f2461]) ).
fof(f2625,plain,
( sk0_14 = sk0_15
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f1955,f1953]) ).
fof(f2626,plain,
( $false
| spl0_29
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f2625,f316]) ).
fof(f2627,plain,
( spl0_29
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f2626]) ).
fof(f2633,plain,
( sk0_0 = sum(sum(pred(n8),n2),sum(n0,succ(sk0_20)))
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f250,f1924]) ).
fof(f2634,plain,
( sk0_0 = sum(sum(n7,n2),sum(n0,succ(sk0_20)))
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f23,f2633]) ).
fof(f2635,plain,
( sk0_0 = sum(n9,sum(n0,succ(sk0_20)))
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f105,f2634]) ).
fof(f2636,plain,
( sk0_0 = sum(n9,sum(n0,succ(n8)))
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f250,f2635]) ).
fof(f2637,plain,
( sk0_0 = sum(n9,sum(n0,n9))
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f12,f2636]) ).
fof(f2638,plain,
( sk0_0 = sum(n9,n9)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f35,f2637]) ).
fof(f2639,plain,
( sk0_0 = n7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f134,f2638]) ).
fof(f2653,plain,
( n7 != sk0_1
| ~ spl0_8
| ~ spl0_12
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f2639,f295]) ).
fof(f2654,plain,
( sk0_1 = sum(sum(pred(n8),succ(sk0_20)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f250,f1920]) ).
fof(f2655,plain,
( sk0_1 = sum(sum(n7,succ(sk0_20)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f23,f2654]) ).
fof(f2656,plain,
( sk0_1 = sum(sum(n7,succ(n8)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f250,f2655]) ).
fof(f2657,plain,
( sk0_1 = sum(sum(n7,n9),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f12,f2656]) ).
fof(f2658,plain,
( sk0_1 = sum(n5,n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f112,f2657]) ).
fof(f2659,plain,
( sk0_1 = n7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f83,f2658]) ).
fof(f2660,plain,
( $false
| spl0_22
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2659,f2653]) ).
fof(f2661,plain,
( spl0_22
| ~ spl0_8
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f2660]) ).
fof(f2662,plain,
( spl0_28
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1950,f311,f308]) ).
fof(f2670,plain,
( sk0_0 = sum(sum(pred(sk0_20),n2),sum(n0,succ(n1)))
| ~ spl0_1
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f229,f1924]) ).
fof(f2671,plain,
( sk0_0 = sum(sum(pred(n1),n2),sum(n0,succ(n1)))
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f229,f2670]) ).
fof(f2672,plain,
( sk0_0 = sum(sum(n0,n2),sum(n0,succ(n1)))
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f16,f2671]) ).
fof(f2673,plain,
( sk0_0 = sum(n2,sum(n0,succ(n1)))
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f28,f2672]) ).
fof(f2674,plain,
( sk0_0 = sum(n2,sum(n0,n2))
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f5,f2673]) ).
fof(f2675,plain,
( sk0_0 = sum(n2,n2)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f28,f2674]) ).
fof(f2676,plain,
( sk0_0 = n4
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f50,f2675]) ).
fof(f2677,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n1)),n2)
| ~ spl0_1
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f229,f1920]) ).
fof(f2678,plain,
( sk0_1 = sum(sum(pred(n1),succ(n1)),n2)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f229,f2677]) ).
fof(f2679,plain,
( sk0_1 = sum(sum(n0,succ(n1)),n2)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f16,f2678]) ).
fof(f2680,plain,
( sk0_1 = sum(sum(n0,n2),n2)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f5,f2679]) ).
fof(f2681,plain,
( sk0_1 = sum(n2,n2)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f28,f2680]) ).
fof(f2682,plain,
( sk0_1 = n4
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f50,f2681]) ).
fof(f2691,plain,
( n4 != sk0_1
| ~ spl0_1
| ~ spl0_12
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f2676,f295]) ).
fof(f2701,plain,
( n4 != n4
| ~ spl0_1
| ~ spl0_12
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f2682,f2691]) ).
fof(f2702,plain,
( $false
| ~ spl0_1
| ~ spl0_12
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f2701]) ).
fof(f2703,plain,
( ~ spl0_1
| ~ spl0_12
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2702]) ).
fof(f2712,plain,
( sk0_0 = sum(sum(pred(n5),n2),sum(n0,succ(sk0_20)))
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f241,f1924]) ).
fof(f2713,plain,
( sk0_0 = sum(sum(n4,n2),sum(n0,succ(sk0_20)))
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f20,f2712]) ).
fof(f2714,plain,
( sk0_0 = sum(n6,sum(n0,succ(sk0_20)))
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f72,f2713]) ).
fof(f2715,plain,
( sk0_0 = sum(n6,sum(n0,succ(n5)))
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f241,f2714]) ).
fof(f2716,plain,
( sk0_0 = sum(n6,sum(n0,n6))
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f9,f2715]) ).
fof(f2717,plain,
( sk0_0 = sum(n6,n6)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f32,f2716]) ).
fof(f2718,plain,
( sk0_0 = n1
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f98,f2717]) ).
fof(f2719,plain,
( n1 != sk0_1
| ~ spl0_5
| ~ spl0_12
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f2718,f295]) ).
fof(f2729,plain,
( sk0_1 = sum(sum(pred(n5),succ(sk0_20)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f241,f1920]) ).
fof(f2730,plain,
( sk0_1 = sum(sum(n4,succ(sk0_20)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f20,f2729]) ).
fof(f2731,plain,
( sk0_1 = sum(sum(n4,succ(n5)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f241,f2730]) ).
fof(f2732,plain,
( sk0_1 = sum(sum(n4,n6),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f9,f2731]) ).
fof(f2733,plain,
( sk0_1 = sum(n10,n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f76,f2732]) ).
fof(f2734,plain,
( sk0_1 = n1
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f138,f2733]) ).
fof(f2736,plain,
( n1 != n1
| ~ spl0_5
| ~ spl0_12
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f2734,f2719]) ).
fof(f2737,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f2736]) ).
fof(f2738,plain,
( ~ spl0_5
| ~ spl0_12
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2737]) ).
fof(f2739,plain,
( spl0_24
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f767,f299,f296]) ).
fof(f2749,plain,
( sk0_17 = sum(sum(pred(sk0_14),succ(sk0_14)),sum(pred(sk0_15),succ(sk0_14)))
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f2625,f166]) ).
fof(f2750,plain,
( sk0_17 = sum(sum(pred(sk0_14),succ(sk0_14)),sum(pred(sk0_14),succ(sk0_14)))
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f2625,f2749]) ).
fof(f2752,plain,
( sk0_16 = sum(sum(pred(sk0_14),succ(sk0_15)),sum(pred(sk0_14),succ(sk0_14)))
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f2625,f165]) ).
fof(f2753,plain,
( sk0_16 = sum(sum(pred(sk0_14),succ(sk0_14)),sum(pred(sk0_14),succ(sk0_14)))
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f2625,f2752]) ).
fof(f2756,plain,
( sk0_0 = sum(sum(pred(sk0_20),n2),sum(n0,succ(n6)))
| ~ spl0_6
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f244,f1924]) ).
fof(f2757,plain,
( sk0_0 = sum(sum(pred(n6),n2),sum(n0,succ(n6)))
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f244,f2756]) ).
fof(f2758,plain,
( sk0_0 = sum(sum(n5,n2),sum(n0,succ(n6)))
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f21,f2757]) ).
fof(f2759,plain,
( sk0_0 = sum(n7,sum(n0,succ(n6)))
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f83,f2758]) ).
fof(f2760,plain,
( sk0_0 = sum(n7,sum(n0,n7))
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f10,f2759]) ).
fof(f2761,plain,
( sk0_0 = sum(n7,n7)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f33,f2760]) ).
fof(f2762,plain,
( sk0_0 = n3
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f110,f2761]) ).
fof(f2768,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f244,f1920]) ).
fof(f2769,plain,
( sk0_1 = sum(sum(pred(n6),succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f244,f2768]) ).
fof(f2770,plain,
( sk0_1 = sum(sum(n5,succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f21,f2769]) ).
fof(f2771,plain,
( sk0_1 = sum(sum(n5,n7),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f10,f2770]) ).
fof(f2772,plain,
( sk0_1 = sum(n1,n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f88,f2771]) ).
fof(f2773,plain,
( sk0_1 = n3
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f39,f2772]) ).
fof(f2778,plain,
( n3 != sk0_1
| ~ spl0_6
| ~ spl0_12
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f2762,f295]) ).
fof(f2788,plain,
( n3 != n3
| ~ spl0_6
| ~ spl0_12
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f2773,f2778]) ).
fof(f2789,plain,
( $false
| ~ spl0_6
| ~ spl0_12
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f2788]) ).
fof(f2790,plain,
( ~ spl0_6
| ~ spl0_12
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2789]) ).
fof(f2931,plain,
( sk0_16 = sk0_17
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f2750,f2753]) ).
fof(f2932,plain,
( $false
| spl0_30
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f2931,f319]) ).
fof(f2933,plain,
( spl0_30
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f2932]) ).
fof(f2937,plain,
( sk0_0 = sum(sum(pred(n4),n2),sum(n0,succ(sk0_20)))
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f238,f1924]) ).
fof(f2938,plain,
( sk0_0 = sum(sum(n3,n2),sum(n0,succ(sk0_20)))
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f19,f2937]) ).
fof(f2939,plain,
( sk0_0 = sum(n5,sum(n0,succ(sk0_20)))
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f61,f2938]) ).
fof(f2940,plain,
( sk0_0 = sum(n5,sum(n0,succ(n4)))
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f238,f2939]) ).
fof(f2941,plain,
( sk0_0 = sum(n5,sum(n0,n5))
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f8,f2940]) ).
fof(f2942,plain,
( sk0_0 = sum(n5,n5)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f31,f2941]) ).
fof(f2943,plain,
( sk0_0 = n10
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f86,f2942]) ).
fof(f2944,plain,
( n10 != sk0_1
| ~ spl0_4
| ~ spl0_12
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f2943,f295]) ).
fof(f2960,plain,
( sk0_1 = sum(sum(pred(n4),succ(sk0_20)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f238,f1920]) ).
fof(f2961,plain,
( sk0_1 = sum(sum(n3,succ(sk0_20)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f19,f2960]) ).
fof(f2962,plain,
( sk0_1 = sum(sum(n3,succ(n4)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f238,f2961]) ).
fof(f2963,plain,
( sk0_1 = sum(sum(n3,n5),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f8,f2962]) ).
fof(f2964,plain,
( sk0_1 = sum(n8,n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f64,f2963]) ).
fof(f2965,plain,
( sk0_1 = n10
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f116,f2964]) ).
fof(f2966,plain,
( n10 != n10
| ~ spl0_4
| ~ spl0_12
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f2965,f2944]) ).
fof(f2967,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f2966]) ).
fof(f2968,plain,
( ~ spl0_4
| ~ spl0_12
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2967]) ).
fof(f2969,plain,
( sk0_1 = sum(n9,sum(pred(n1),succ(sk0_21)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f263,f369]) ).
fof(f2970,plain,
( sk0_1 = sum(n9,sum(n0,succ(sk0_21)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f16,f2969]) ).
fof(f2971,plain,
( sk0_1 = sum(n9,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f263,f2970]) ).
fof(f2972,plain,
( sk0_1 = sum(n9,sum(n0,n2))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f5,f2971]) ).
fof(f2973,plain,
( sk0_1 = sum(n9,n2)
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f28,f2972]) ).
fof(f2974,plain,
( sk0_1 = n0
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f127,f2973]) ).
fof(f2975,plain,
( sk0_0 = sum(sum(n9,succ(n1)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f263,f354]) ).
fof(f2976,plain,
( sk0_0 = sum(sum(n9,n2),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f5,f2975]) ).
fof(f2977,plain,
( sk0_0 = sum(n0,sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f127,f2976]) ).
fof(f2978,plain,
( sk0_0 = sum(n0,sum(pred(n1),succ(sk0_20)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f263,f2977]) ).
fof(f2979,plain,
( sk0_0 = sum(n0,sum(n0,succ(sk0_20)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f16,f2978]) ).
fof(f2994,plain,
( sk0_0 != n0
| ~ spl0_12
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f2974,f295]) ).
fof(f3000,plain,
( sk0_0 = sum(n0,sum(n0,succ(n10)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f256,f2979]) ).
fof(f3001,plain,
( sk0_0 = sum(n0,sum(n0,n0))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f3000]) ).
fof(f3002,plain,
( sk0_0 = sum(n0,n0)
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f26,f3001]) ).
fof(f3003,plain,
( sk0_0 = n0
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f26,f3002]) ).
fof(f3004,plain,
( $false
| spl0_22
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f3003,f2994]) ).
fof(f3005,plain,
( spl0_22
| ~ spl0_12
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f3004]) ).
fof(f3011,plain,
( sk0_1 = sum(sum(pred(n2),succ(sk0_20)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f232,f1920]) ).
fof(f3012,plain,
( sk0_1 = sum(sum(n1,succ(sk0_20)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f17,f3011]) ).
fof(f3013,plain,
( sk0_1 = sum(sum(n1,succ(n2)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f232,f3012]) ).
fof(f3014,plain,
( sk0_1 = sum(sum(n1,n3),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f6,f3013]) ).
fof(f3015,plain,
( sk0_1 = sum(n4,n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f40,f3014]) ).
fof(f3016,plain,
( sk0_1 = n6
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f72,f3015]) ).
fof(f3026,plain,
( sk0_0 = sum(sum(pred(n2),n2),sum(n0,succ(sk0_20)))
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f232,f1924]) ).
fof(f3027,plain,
( sk0_0 = sum(sum(n1,n2),sum(n0,succ(sk0_20)))
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f17,f3026]) ).
fof(f3028,plain,
( sk0_0 = sum(n3,sum(n0,succ(sk0_20)))
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f39,f3027]) ).
fof(f3029,plain,
( sk0_0 = sum(n3,sum(n0,succ(n2)))
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f232,f3028]) ).
fof(f3030,plain,
( sk0_0 = sum(n3,sum(n0,n3))
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f6,f3029]) ).
fof(f3031,plain,
( sk0_0 = sum(n3,n3)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f29,f3030]) ).
fof(f3032,plain,
( sk0_0 = n6
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f62,f3031]) ).
fof(f3036,plain,
( n6 != sk0_1
| ~ spl0_2
| ~ spl0_12
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f3032,f295]) ).
fof(f3037,plain,
( n6 != n6
| ~ spl0_2
| ~ spl0_12
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f3016,f3036]) ).
fof(f3038,plain,
( $false
| ~ spl0_2
| ~ spl0_12
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f3037]) ).
fof(f3039,plain,
( ~ spl0_2
| ~ spl0_12
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f3038]) ).
fof(f3080,plain,
( sk0_1 = sum(sum(pred(n0),succ(sk0_20)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f226,f1920]) ).
fof(f3081,plain,
( sk0_1 = sum(sum(n10,succ(sk0_20)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f15,f3080]) ).
fof(f3082,plain,
( sk0_1 = sum(sum(n10,succ(n0)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f226,f3081]) ).
fof(f3083,plain,
( sk0_1 = sum(sum(n10,n1),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f4,f3082]) ).
fof(f3084,plain,
( sk0_1 = sum(n0,n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f137,f3083]) ).
fof(f3085,plain,
( sk0_1 = n2
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f28,f3084]) ).
fof(f3086,plain,
( sk0_0 != n2
| ~ spl0_0
| ~ spl0_12
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3085,f295]) ).
fof(f3091,plain,
( sk0_0 = sum(sum(pred(n0),n2),sum(n0,succ(sk0_20)))
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f226,f1924]) ).
fof(f3092,plain,
( sk0_0 = sum(sum(n10,n2),sum(n0,succ(sk0_20)))
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f15,f3091]) ).
fof(f3093,plain,
( sk0_0 = sum(n1,sum(n0,succ(sk0_20)))
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f138,f3092]) ).
fof(f3094,plain,
( sk0_0 = sum(n1,sum(n0,succ(n0)))
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f226,f3093]) ).
fof(f3095,plain,
( sk0_0 = sum(n1,sum(n0,n1))
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f4,f3094]) ).
fof(f3096,plain,
( sk0_0 = sum(n1,n1)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f27,f3095]) ).
fof(f3097,plain,
( sk0_0 = n2
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f38,f3096]) ).
fof(f3098,plain,
( $false
| spl0_22
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f3097,f3086]) ).
fof(f3099,plain,
( spl0_22
| ~ spl0_0
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f3098]) ).
fof(f3100,plain,
( sk0_1 = sum(sum(pred(n0),succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f226,f150]) ).
fof(f3101,plain,
( sk0_1 = sum(sum(n10,succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f15,f3100]) ).
fof(f3102,plain,
( sk0_1 = sum(sum(n10,succ(n0)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f226,f3101]) ).
fof(f3103,plain,
( sk0_1 = sum(sum(n10,n1),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f4,f3102]) ).
fof(f3104,plain,
( sk0_1 = sum(n0,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f137,f3103]) ).
fof(f3105,plain,
( sk0_0 = sum(sum(pred(n0),succ(sk0_21)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f226,f149]) ).
fof(f3106,plain,
( sk0_0 = sum(sum(n10,succ(sk0_21)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f15,f3105]) ).
fof(f3107,plain,
( sk0_0 = sum(sum(n10,succ(sk0_21)),sum(pred(sk0_21),succ(n0)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f226,f3106]) ).
fof(f3108,plain,
( sk0_0 = sum(sum(n10,succ(sk0_21)),sum(pred(sk0_21),n1))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f4,f3107]) ).
fof(f3118,plain,
( sk0_1 = sum(n0,sum(pred(n7),succ(sk0_21)))
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f281,f3104]) ).
fof(f3119,plain,
( sk0_1 = sum(n0,sum(n6,succ(sk0_21)))
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f22,f3118]) ).
fof(f3120,plain,
( sk0_1 = sum(n0,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f281,f3119]) ).
fof(f3121,plain,
( sk0_1 = sum(n0,sum(n6,n8))
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f11,f3120]) ).
fof(f3122,plain,
( sk0_1 = sum(n0,n3)
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f100,f3121]) ).
fof(f3123,plain,
( sk0_1 = n3
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f29,f3122]) ).
fof(f3124,plain,
( sk0_0 != n3
| ~ spl0_18
| ~ spl0_0
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3123,f295]) ).
fof(f3130,plain,
( sk0_0 = sum(sum(n10,succ(n7)),sum(pred(sk0_21),n1))
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f281,f3108]) ).
fof(f3131,plain,
( sk0_0 = sum(sum(n10,n8),sum(pred(sk0_21),n1))
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f11,f3130]) ).
fof(f3132,plain,
( sk0_0 = sum(n7,sum(pred(sk0_21),n1))
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f144,f3131]) ).
fof(f3133,plain,
( sk0_0 = sum(n7,sum(pred(n7),n1))
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f281,f3132]) ).
fof(f3134,plain,
( sk0_0 = sum(n7,sum(n6,n1))
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f22,f3133]) ).
fof(f3135,plain,
( sk0_0 = sum(n7,n7)
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f93,f3134]) ).
fof(f3136,plain,
( sk0_0 = n3
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f110,f3135]) ).
fof(f3137,plain,
( $false
| spl0_22
| ~ spl0_18
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3136,f3124]) ).
fof(f3138,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f3137]) ).
fof(f3148,plain,
( sk0_1 = sum(n0,sum(pred(n6),succ(sk0_21)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f278,f3104]) ).
fof(f3149,plain,
( sk0_1 = sum(n0,sum(n5,succ(sk0_21)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f21,f3148]) ).
fof(f3150,plain,
( sk0_1 = sum(n0,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f278,f3149]) ).
fof(f3151,plain,
( sk0_1 = sum(n0,sum(n5,n7))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f10,f3150]) ).
fof(f3152,plain,
( sk0_1 = sum(n0,n1)
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f88,f3151]) ).
fof(f3153,plain,
( sk0_1 = n1
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f27,f3152]) ).
fof(f3154,plain,
( sk0_0 != n1
| ~ spl0_17
| ~ spl0_0
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3153,f295]) ).
fof(f3159,plain,
( sk0_0 = sum(sum(n10,succ(n6)),sum(pred(sk0_21),n1))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f278,f3108]) ).
fof(f3160,plain,
( sk0_0 = sum(sum(n10,n7),sum(pred(sk0_21),n1))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f10,f3159]) ).
fof(f3161,plain,
( sk0_0 = sum(n6,sum(pred(sk0_21),n1))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f143,f3160]) ).
fof(f3162,plain,
( sk0_0 = sum(n6,sum(pred(n6),n1))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f278,f3161]) ).
fof(f3163,plain,
( sk0_0 = sum(n6,sum(n5,n1))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f21,f3162]) ).
fof(f3164,plain,
( sk0_0 = sum(n6,n6)
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f82,f3163]) ).
fof(f3165,plain,
( sk0_0 = n1
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f98,f3164]) ).
fof(f3166,plain,
( $false
| spl0_22
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3165,f3154]) ).
fof(f3167,plain,
( spl0_22
| ~ spl0_17
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f3166]) ).
fof(f3177,plain,
( sk0_1 = sum(n0,sum(pred(n8),succ(sk0_21)))
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f284,f3104]) ).
fof(f3178,plain,
( sk0_1 = sum(n0,sum(n7,succ(sk0_21)))
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f23,f3177]) ).
fof(f3179,plain,
( sk0_1 = sum(n0,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f284,f3178]) ).
fof(f3180,plain,
( sk0_1 = sum(n0,sum(n7,n9))
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f12,f3179]) ).
fof(f3181,plain,
( sk0_1 = sum(n0,n5)
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f112,f3180]) ).
fof(f3182,plain,
( sk0_1 = n5
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f31,f3181]) ).
fof(f3183,plain,
( sk0_0 != n5
| ~ spl0_19
| ~ spl0_0
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3182,f295]) ).
fof(f3188,plain,
( sk0_0 = sum(sum(n10,succ(n8)),sum(pred(sk0_21),n1))
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f284,f3108]) ).
fof(f3189,plain,
( sk0_0 = sum(sum(n10,n9),sum(pred(sk0_21),n1))
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f12,f3188]) ).
fof(f3190,plain,
( sk0_0 = sum(n8,sum(pred(sk0_21),n1))
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f145,f3189]) ).
fof(f3191,plain,
( sk0_0 = sum(n8,sum(pred(n8),n1))
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f284,f3190]) ).
fof(f3192,plain,
( sk0_0 = sum(n8,sum(n7,n1))
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f23,f3191]) ).
fof(f3193,plain,
( sk0_0 = sum(n8,n8)
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f104,f3192]) ).
fof(f3194,plain,
( sk0_0 = n5
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f122,f3193]) ).
fof(f3195,plain,
( $false
| spl0_22
| ~ spl0_19
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3194,f3183]) ).
fof(f3196,plain,
( spl0_22
| ~ spl0_19
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f3195]) ).
fof(f3207,plain,
( sk0_1 = sum(n0,sum(pred(n9),succ(sk0_21)))
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f287,f3104]) ).
fof(f3208,plain,
( sk0_1 = sum(n0,sum(n8,succ(sk0_21)))
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f24,f3207]) ).
fof(f3209,plain,
( sk0_1 = sum(n0,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f287,f3208]) ).
fof(f3210,plain,
( sk0_1 = sum(n0,sum(n8,n10))
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f13,f3209]) ).
fof(f3211,plain,
( sk0_1 = sum(n0,n7)
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f124,f3210]) ).
fof(f3212,plain,
( sk0_1 = n7
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f33,f3211]) ).
fof(f3213,plain,
( sk0_0 != n7
| ~ spl0_20
| ~ spl0_0
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3212,f295]) ).
fof(f3218,plain,
( sk0_0 = sum(sum(n10,succ(n9)),sum(pred(sk0_21),n1))
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f287,f3108]) ).
fof(f3219,plain,
( sk0_0 = sum(sum(n10,n10),sum(pred(sk0_21),n1))
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f13,f3218]) ).
fof(f3220,plain,
( sk0_0 = sum(n9,sum(pred(sk0_21),n1))
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f146,f3219]) ).
fof(f3221,plain,
( sk0_0 = sum(n9,sum(pred(n9),n1))
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f287,f3220]) ).
fof(f3222,plain,
( sk0_0 = sum(n9,sum(n8,n1))
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f24,f3221]) ).
fof(f3223,plain,
( sk0_0 = sum(n9,n9)
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f115,f3222]) ).
fof(f3224,plain,
( sk0_0 = n7
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f134,f3223]) ).
fof(f3225,plain,
( $false
| spl0_22
| ~ spl0_20
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3224,f3213]) ).
fof(f3226,plain,
( spl0_22
| ~ spl0_20
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f3225]) ).
fof(f3238,plain,
( sk0_1 = sum(n0,sum(pred(n10),succ(sk0_21)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f290,f3104]) ).
fof(f3239,plain,
( sk0_1 = sum(n0,sum(n9,succ(sk0_21)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f25,f3238]) ).
fof(f3240,plain,
( sk0_1 = sum(n0,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f290,f3239]) ).
fof(f3241,plain,
( sk0_1 = sum(n0,sum(n9,n0))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f14,f3240]) ).
fof(f3242,plain,
( sk0_1 = sum(n0,n9)
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f125,f3241]) ).
fof(f3243,plain,
( sk0_1 = n9
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f35,f3242]) ).
fof(f3244,plain,
( sk0_0 != n9
| ~ spl0_21
| ~ spl0_0
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3243,f295]) ).
fof(f3249,plain,
( sk0_0 = sum(sum(n10,succ(n10)),sum(pred(sk0_21),n1))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f290,f3108]) ).
fof(f3250,plain,
( sk0_0 = sum(sum(n10,n0),sum(pred(sk0_21),n1))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f14,f3249]) ).
fof(f3251,plain,
( sk0_0 = sum(n10,sum(pred(sk0_21),n1))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f136,f3250]) ).
fof(f3252,plain,
( sk0_0 = sum(n10,sum(pred(n10),n1))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f290,f3251]) ).
fof(f3253,plain,
( sk0_0 = sum(n10,sum(n9,n1))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f25,f3252]) ).
fof(f3254,plain,
( sk0_0 = sum(n10,n10)
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f126,f3253]) ).
fof(f3255,plain,
( sk0_0 = n9
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f146,f3254]) ).
fof(f3256,plain,
( $false
| spl0_22
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3255,f3244]) ).
fof(f3257,plain,
( spl0_22
| ~ spl0_21
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f3256]) ).
fof(f3267,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(pred(sk0_21),succ(n6)))
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f278,f150]) ).
fof(f3268,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(pred(n6),succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f278,f3267]) ).
fof(f3269,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(n5,succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f21,f3268]) ).
fof(f3270,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(n5,n7))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f10,f3269]) ).
fof(f3271,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),n1)
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f88,f3270]) ).
fof(f3272,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(n6),succ(sk0_20)))
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f278,f149]) ).
fof(f3273,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(n6)),sum(pred(n6),succ(sk0_20)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f278,f3272]) ).
fof(f3274,plain,
( sk0_0 = sum(sum(pred(sk0_20),n7),sum(pred(n6),succ(sk0_20)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f10,f3273]) ).
fof(f3275,plain,
( sk0_0 = sum(sum(pred(sk0_20),n7),sum(n5,succ(sk0_20)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f21,f3274]) ).
fof(f3287,plain,
( sk0_1 = sum(n7,sum(pred(n6),succ(sk0_21)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f278,f1066]) ).
fof(f3288,plain,
( sk0_1 = sum(n7,sum(n5,succ(sk0_21)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f21,f3287]) ).
fof(f3289,plain,
( sk0_1 = sum(n7,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f278,f3288]) ).
fof(f3290,plain,
( sk0_1 = sum(n7,sum(n5,n7))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f10,f3289]) ).
fof(f3291,plain,
( sk0_1 = sum(n7,n1)
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f88,f3290]) ).
fof(f3292,plain,
( sk0_1 = n8
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f104,f3291]) ).
fof(f3298,plain,
( sk0_0 != n8
| ~ spl0_17
| ~ spl0_9
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3292,f295]) ).
fof(f3327,plain,
( sk0_0 = sum(sum(n8,succ(n6)),sum(pred(sk0_21),n10))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f278,f1061]) ).
fof(f3328,plain,
( sk0_0 = sum(sum(n8,n7),sum(pred(sk0_21),n10))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f10,f3327]) ).
fof(f3329,plain,
( sk0_0 = sum(n4,sum(pred(sk0_21),n10))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f121,f3328]) ).
fof(f3330,plain,
( sk0_0 = sum(n4,sum(pred(n6),n10))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f278,f3329]) ).
fof(f3331,plain,
( sk0_0 = sum(n4,sum(n5,n10))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f21,f3330]) ).
fof(f3332,plain,
( sk0_0 = sum(n4,n4)
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f91,f3331]) ).
fof(f3333,plain,
( sk0_0 = n8
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f74,f3332]) ).
fof(f3334,plain,
( $false
| spl0_22
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f3333,f3298]) ).
fof(f3335,plain,
( spl0_22
| ~ spl0_17
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f3334]) ).
fof(f3336,plain,
( sk0_1 = sum(sum(pred(n9),succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f253,f150]) ).
fof(f3337,plain,
( sk0_1 = sum(sum(n8,succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f3336]) ).
fof(f3338,plain,
( sk0_1 = sum(sum(n8,succ(n9)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f253,f3337]) ).
fof(f3339,plain,
( sk0_1 = sum(sum(n8,n10),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f3338]) ).
fof(f3340,plain,
( sk0_1 = sum(n7,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f3339]) ).
fof(f3346,plain,
( sk0_18 = sk0_19
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f2460,f2462]) ).
fof(f3356,plain,
( sk0_1 = sum(n7,sum(pred(n7),succ(sk0_21)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f281,f1620]) ).
fof(f3357,plain,
( sk0_1 = sum(n7,sum(n6,succ(sk0_21)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f22,f3356]) ).
fof(f3358,plain,
( sk0_1 = sum(n7,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f281,f3357]) ).
fof(f3359,plain,
( sk0_1 = sum(n7,sum(n6,n8))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f11,f3358]) ).
fof(f3360,plain,
( sk0_1 = sum(n7,n3)
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f100,f3359]) ).
fof(f3361,plain,
( sk0_1 = n10
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f106,f3360]) ).
fof(f3367,plain,
( sk0_0 != n10
| ~ spl0_18
| ~ spl0_9
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3361,f295]) ).
fof(f3397,plain,
( sk0_0 = sum(sum(n8,succ(n7)),sum(pred(sk0_21),n10))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f281,f775]) ).
fof(f3398,plain,
( sk0_0 = sum(sum(n8,n8),sum(pred(sk0_21),n10))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f11,f3397]) ).
fof(f3399,plain,
( sk0_0 = sum(n5,sum(pred(sk0_21),n10))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f122,f3398]) ).
fof(f3400,plain,
( sk0_0 = sum(n5,sum(pred(n7),n10))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f281,f3399]) ).
fof(f3401,plain,
( sk0_0 = sum(n5,sum(n6,n10))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f22,f3400]) ).
fof(f3402,plain,
( sk0_0 = sum(n5,n5)
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f102,f3401]) ).
fof(f3403,plain,
( sk0_0 = n10
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f86,f3402]) ).
fof(f3404,plain,
( $false
| spl0_22
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f3403,f3367]) ).
fof(f3405,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f3404]) ).
fof(f3548,plain,
( n1 != sk0_1
| ~ spl0_19
| ~ spl0_9
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f1679,f295]) ).
fof(f3549,plain,
( n1 != n1
| ~ spl0_19
| ~ spl0_9
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f1645,f3548]) ).
fof(f3550,plain,
( $false
| ~ spl0_19
| ~ spl0_9
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f3549]) ).
fof(f3551,plain,
( ~ spl0_19
| ~ spl0_9
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f3550]) ).
fof(f3566,plain,
( sk0_1 = sum(n7,sum(pred(n9),succ(sk0_21)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f287,f3340]) ).
fof(f3567,plain,
( sk0_1 = sum(n7,sum(n8,succ(sk0_21)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f3566]) ).
fof(f3568,plain,
( sk0_1 = sum(n7,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f287,f3567]) ).
fof(f3569,plain,
( sk0_1 = sum(n7,sum(n8,n10))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f3568]) ).
fof(f3570,plain,
( sk0_1 = sum(n7,n7)
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f3569]) ).
fof(f3571,plain,
( sk0_1 = n3
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f110,f3570]) ).
fof(f3572,plain,
( sk0_0 != n3
| ~ spl0_20
| ~ spl0_9
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3571,f295]) ).
fof(f3601,plain,
( sk0_0 = sum(sum(n8,succ(n9)),sum(pred(sk0_21),n10))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f287,f896]) ).
fof(f3602,plain,
( sk0_0 = sum(sum(n8,n10),sum(pred(sk0_21),n10))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f3601]) ).
fof(f3603,plain,
( sk0_0 = sum(n7,sum(pred(sk0_21),n10))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f3602]) ).
fof(f3604,plain,
( sk0_0 = sum(n7,sum(pred(n9),n10))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f287,f3603]) ).
fof(f3605,plain,
( sk0_0 = sum(n7,sum(n8,n10))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f3604]) ).
fof(f3606,plain,
( sk0_0 = sum(n7,n7)
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f3605]) ).
fof(f3607,plain,
( sk0_0 = n3
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f110,f3606]) ).
fof(f3608,plain,
( $false
| spl0_22
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f3607,f3572]) ).
fof(f3609,plain,
( spl0_22
| ~ spl0_20
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f3608]) ).
fof(f3619,plain,
( sk0_1 = sum(n7,sum(pred(n10),succ(sk0_21)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f290,f1620]) ).
fof(f3620,plain,
( sk0_1 = sum(n7,sum(n9,succ(sk0_21)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f25,f3619]) ).
fof(f3621,plain,
( sk0_1 = sum(n7,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f290,f3620]) ).
fof(f3622,plain,
( sk0_1 = sum(n7,sum(n9,n0))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f14,f3621]) ).
fof(f3623,plain,
( sk0_1 = sum(n7,n9)
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f125,f3622]) ).
fof(f3624,plain,
( sk0_1 = n5
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f112,f3623]) ).
fof(f3625,plain,
( sk0_0 != n5
| ~ spl0_21
| ~ spl0_9
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3624,f295]) ).
fof(f3658,plain,
( sk0_0 = sum(sum(n8,succ(n10)),sum(pred(sk0_21),n10))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f290,f1615]) ).
fof(f3659,plain,
( sk0_0 = sum(sum(n8,n0),sum(pred(sk0_21),n10))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f14,f3658]) ).
fof(f3660,plain,
( sk0_0 = sum(n8,sum(pred(sk0_21),n10))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f114,f3659]) ).
fof(f3661,plain,
( sk0_0 = sum(n8,sum(pred(n10),n10))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f290,f3660]) ).
fof(f3662,plain,
( sk0_0 = sum(n8,sum(n9,n10))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f25,f3661]) ).
fof(f3663,plain,
( sk0_0 = sum(n8,n8)
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f135,f3662]) ).
fof(f3664,plain,
( sk0_0 = n5
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f122,f3663]) ).
fof(f3665,plain,
( $false
| spl0_22
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f3664,f3625]) ).
fof(f3666,plain,
( spl0_22
| ~ spl0_21
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f3665]) ).
fof(f3667,plain,
( sk0_0 = sum(sum(pred(n9),n2),sum(n0,succ(sk0_20)))
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f253,f1924]) ).
fof(f3668,plain,
( sk0_0 = sum(sum(n8,n2),sum(n0,succ(sk0_20)))
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f24,f3667]) ).
fof(f3669,plain,
( sk0_0 = sum(n10,sum(n0,succ(sk0_20)))
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f116,f3668]) ).
fof(f3670,plain,
( sk0_0 = sum(n10,sum(n0,succ(n9)))
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f253,f3669]) ).
fof(f3671,plain,
( sk0_0 = sum(n10,sum(n0,n10))
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f13,f3670]) ).
fof(f3672,plain,
( sk0_0 = sum(n10,n10)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f36,f3671]) ).
fof(f3673,plain,
( sk0_0 = n9
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f146,f3672]) ).
fof(f3674,plain,
( sk0_1 = sum(sum(pred(n9),succ(sk0_20)),n2)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f253,f1920]) ).
fof(f3675,plain,
( sk0_1 = sum(sum(n8,succ(sk0_20)),n2)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f24,f3674]) ).
fof(f3676,plain,
( sk0_1 = sum(sum(n8,succ(n9)),n2)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f253,f3675]) ).
fof(f3677,plain,
( sk0_1 = sum(sum(n8,n10),n2)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f13,f3676]) ).
fof(f3678,plain,
( sk0_1 = sum(n7,n2)
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f124,f3677]) ).
fof(f3679,plain,
( sk0_1 = n9
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f105,f3678]) ).
fof(f3693,plain,
( n9 != sk0_1
| ~ spl0_9
| ~ spl0_12
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3673,f295]) ).
fof(f3757,plain,
( n9 != n9
| ~ spl0_9
| ~ spl0_12
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f3679,f3693]) ).
fof(f3758,plain,
( $false
| ~ spl0_9
| ~ spl0_12
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f3757]) ).
fof(f3759,plain,
( ~ spl0_9
| ~ spl0_12
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f3758]) ).
fof(f3760,plain,
( sk0_0 = sum(sum(pred(n2),succ(sk0_21)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f232,f149]) ).
fof(f3761,plain,
( sk0_0 = sum(sum(n1,succ(sk0_21)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f3760]) ).
fof(f3762,plain,
( sk0_0 = sum(sum(n1,succ(n9)),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f287,f3761]) ).
fof(f3763,plain,
( sk0_0 = sum(sum(n1,n10),sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f13,f3762]) ).
fof(f3764,plain,
( sk0_0 = sum(n0,sum(pred(sk0_21),succ(sk0_20)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f47,f3763]) ).
fof(f3765,plain,
( sk0_0 = sum(n0,sum(pred(n9),succ(sk0_20)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f287,f3764]) ).
fof(f3766,plain,
( sk0_0 = sum(n0,sum(n8,succ(sk0_20)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f24,f3765]) ).
fof(f3767,plain,
( sk0_0 = sum(n0,sum(n8,succ(n2)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f232,f3766]) ).
fof(f3768,plain,
( sk0_0 = sum(n0,sum(n8,n3))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f3767]) ).
fof(f3769,plain,
( sk0_0 = sum(n0,n0)
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f117,f3768]) ).
fof(f3770,plain,
( sk0_0 = n0
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f26,f3769]) ).
fof(f3780,plain,
( sk0_1 = sum(sum(pred(n2),succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f232,f150]) ).
fof(f3781,plain,
( sk0_1 = sum(sum(n1,succ(sk0_20)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f3780]) ).
fof(f3782,plain,
( sk0_1 = sum(sum(n1,succ(n2)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f232,f3781]) ).
fof(f3783,plain,
( sk0_1 = sum(sum(n1,n3),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f3782]) ).
fof(f3784,plain,
( sk0_1 = sum(n4,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f40,f3783]) ).
fof(f3785,plain,
( sk0_1 = sum(n4,sum(pred(n9),succ(sk0_21)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f287,f3784]) ).
fof(f3786,plain,
( sk0_1 = sum(n4,sum(n8,succ(sk0_21)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f24,f3785]) ).
fof(f3787,plain,
( sk0_1 = sum(n4,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f287,f3786]) ).
fof(f3788,plain,
( sk0_1 = sum(n4,sum(n8,n10))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f13,f3787]) ).
fof(f3789,plain,
( sk0_1 = sum(n4,n7)
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f124,f3788]) ).
fof(f3790,plain,
( sk0_1 = n0
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f77,f3789]) ).
fof(f3791,plain,
( n0 != sk0_1
| ~ spl0_20
| ~ spl0_2
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f3770,f295]) ).
fof(f3792,plain,
( n0 != n0
| ~ spl0_20
| ~ spl0_2
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f3790,f3791]) ).
fof(f3793,plain,
( $false
| ~ spl0_20
| ~ spl0_2
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f3792]) ).
fof(f3794,plain,
( ~ spl0_20
| ~ spl0_2
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f3793]) ).
fof(f3795,plain,
( sk0_0 = sum(sum(n1,succ(sk0_21)),sum(pred(sk0_21),succ(n2)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f232,f3761]) ).
fof(f3796,plain,
( sk0_0 = sum(sum(n1,succ(sk0_21)),sum(pred(sk0_21),n3))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f3795]) ).
fof(f3816,plain,
( sk0_1 = sum(n4,sum(pred(n10),succ(sk0_21)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f290,f3784]) ).
fof(f3817,plain,
( sk0_1 = sum(n4,sum(n9,succ(sk0_21)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f3816]) ).
fof(f3818,plain,
( sk0_1 = sum(n4,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f290,f3817]) ).
fof(f3819,plain,
( sk0_1 = sum(n4,sum(n9,n0))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f14,f3818]) ).
fof(f3820,plain,
( sk0_1 = sum(n4,n9)
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f125,f3819]) ).
fof(f3821,plain,
( sk0_1 = n2
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f79,f3820]) ).
fof(f3822,plain,
( sk0_0 != n2
| ~ spl0_21
| ~ spl0_2
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3821,f295]) ).
fof(f3832,plain,
( sk0_0 = sum(sum(n1,succ(n10)),sum(pred(sk0_21),n3))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f290,f3796]) ).
fof(f3833,plain,
( sk0_0 = sum(sum(n1,n0),sum(pred(sk0_21),n3))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f14,f3832]) ).
fof(f3834,plain,
( sk0_0 = sum(n1,sum(pred(sk0_21),n3))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f37,f3833]) ).
fof(f3835,plain,
( sk0_0 = sum(n1,sum(pred(n10),n3))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f290,f3834]) ).
fof(f3836,plain,
( sk0_0 = sum(n1,sum(n9,n3))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f3835]) ).
fof(f3837,plain,
( sk0_0 = sum(n1,n1)
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f128,f3836]) ).
fof(f3838,plain,
( sk0_0 = n2
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f38,f3837]) ).
fof(f3839,plain,
( $false
| spl0_22
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3838,f3822]) ).
fof(f3840,plain,
( spl0_22
| ~ spl0_21
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3839]) ).
fof(f3841,plain,
( sk0_0 = sum(sum(pred(n2),n7),sum(n5,succ(sk0_20)))
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f232,f3275]) ).
fof(f3842,plain,
( sk0_0 = sum(sum(n1,n7),sum(n5,succ(sk0_20)))
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f17,f3841]) ).
fof(f3843,plain,
( sk0_0 = sum(n8,sum(n5,succ(sk0_20)))
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f44,f3842]) ).
fof(f3844,plain,
( sk0_0 = sum(n8,sum(n5,succ(n2)))
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f232,f3843]) ).
fof(f3845,plain,
( sk0_0 = sum(n8,sum(n5,n3))
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f6,f3844]) ).
fof(f3846,plain,
( sk0_0 = sum(n8,n8)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f84,f3845]) ).
fof(f3847,plain,
( sk0_0 = n5
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f122,f3846]) ).
fof(f3848,plain,
( sk0_1 = sum(sum(pred(n2),succ(sk0_20)),n1)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f232,f3271]) ).
fof(f3849,plain,
( sk0_1 = sum(sum(n1,succ(sk0_20)),n1)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f17,f3848]) ).
fof(f3850,plain,
( sk0_1 = sum(sum(n1,succ(n2)),n1)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f232,f3849]) ).
fof(f3851,plain,
( sk0_1 = sum(sum(n1,n3),n1)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f6,f3850]) ).
fof(f3852,plain,
( sk0_1 = sum(n4,n1)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f40,f3851]) ).
fof(f3853,plain,
( sk0_1 = n5
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f71,f3852]) ).
fof(f3865,plain,
( n5 != sk0_1
| ~ spl0_2
| ~ spl0_17
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3847,f295]) ).
fof(f3870,plain,
( n5 != n5
| ~ spl0_2
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f3853,f3865]) ).
fof(f3871,plain,
( $false
| ~ spl0_2
| ~ spl0_17
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f3870]) ).
fof(f3872,plain,
( ~ spl0_2
| ~ spl0_17
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f3871]) ).
fof(f3883,plain,
( sk0_1 = sum(n4,sum(pred(n7),succ(sk0_21)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f281,f3784]) ).
fof(f3884,plain,
( sk0_1 = sum(n4,sum(n6,succ(sk0_21)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f22,f3883]) ).
fof(f3885,plain,
( sk0_1 = sum(n4,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f281,f3884]) ).
fof(f3886,plain,
( sk0_1 = sum(n4,sum(n6,n8))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f11,f3885]) ).
fof(f3887,plain,
( sk0_1 = sum(n4,n3)
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f100,f3886]) ).
fof(f3888,plain,
( sk0_1 = n7
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f73,f3887]) ).
fof(f3889,plain,
( sk0_0 != n7
| ~ spl0_18
| ~ spl0_2
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3888,f295]) ).
fof(f3894,plain,
( sk0_0 = sum(sum(n1,succ(n7)),sum(pred(sk0_21),n3))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f281,f3796]) ).
fof(f3895,plain,
( sk0_0 = sum(sum(n1,n8),sum(pred(sk0_21),n3))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f11,f3894]) ).
fof(f3896,plain,
( sk0_0 = sum(n9,sum(pred(sk0_21),n3))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f45,f3895]) ).
fof(f3897,plain,
( sk0_0 = sum(n9,sum(pred(n7),n3))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f281,f3896]) ).
fof(f3898,plain,
( sk0_0 = sum(n9,sum(n6,n3))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f22,f3897]) ).
fof(f3899,plain,
( sk0_0 = sum(n9,n9)
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f95,f3898]) ).
fof(f3900,plain,
( sk0_0 = n7
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f134,f3899]) ).
fof(f3901,plain,
( $false
| spl0_22
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3900,f3889]) ).
fof(f3902,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3901]) ).
fof(f3913,plain,
( sk0_1 = sum(n4,sum(pred(n8),succ(sk0_21)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f284,f3784]) ).
fof(f3914,plain,
( sk0_1 = sum(n4,sum(n7,succ(sk0_21)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f23,f3913]) ).
fof(f3915,plain,
( sk0_1 = sum(n4,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f284,f3914]) ).
fof(f3916,plain,
( sk0_1 = sum(n4,sum(n7,n9))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f12,f3915]) ).
fof(f3917,plain,
( sk0_1 = sum(n4,n5)
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f112,f3916]) ).
fof(f3918,plain,
( sk0_1 = n9
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f75,f3917]) ).
fof(f3919,plain,
( sk0_0 != n9
| ~ spl0_19
| ~ spl0_2
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3918,f295]) ).
fof(f3924,plain,
( sk0_0 = sum(sum(n1,succ(n8)),sum(pred(sk0_21),n3))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f284,f3796]) ).
fof(f3925,plain,
( sk0_0 = sum(sum(n1,n9),sum(pred(sk0_21),n3))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f12,f3924]) ).
fof(f3926,plain,
( sk0_0 = sum(n10,sum(pred(sk0_21),n3))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f46,f3925]) ).
fof(f3927,plain,
( sk0_0 = sum(n10,sum(pred(n8),n3))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f284,f3926]) ).
fof(f3928,plain,
( sk0_0 = sum(n10,sum(n7,n3))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f23,f3927]) ).
fof(f3929,plain,
( sk0_0 = sum(n10,n10)
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f106,f3928]) ).
fof(f3930,plain,
( sk0_0 = n9
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f146,f3929]) ).
fof(f3931,plain,
( $false
| spl0_22
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3930,f3919]) ).
fof(f3932,plain,
( spl0_22
| ~ spl0_19
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3931]) ).
fof(f3933,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n10)))
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f256,f149]) ).
fof(f3934,plain,
( sk0_0 = sum(sum(pred(n10),succ(sk0_21)),sum(pred(sk0_21),succ(n10)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f256,f3933]) ).
fof(f3935,plain,
( sk0_0 = sum(sum(n9,succ(sk0_21)),sum(pred(sk0_21),succ(n10)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f3934]) ).
fof(f3936,plain,
( sk0_0 = sum(sum(n9,succ(sk0_21)),sum(pred(sk0_21),n0))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f3935]) ).
fof(f3937,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n10)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f256,f150]) ).
fof(f3938,plain,
( sk0_1 = sum(sum(pred(n10),succ(n10)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f256,f3937]) ).
fof(f3939,plain,
( sk0_1 = sum(sum(n9,succ(n10)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f3938]) ).
fof(f3940,plain,
( sk0_1 = sum(sum(n9,n0),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f3939]) ).
fof(f3941,plain,
( sk0_1 = sum(n9,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f3940]) ).
fof(f3962,plain,
( sk0_1 = sum(n9,sum(pred(n7),succ(sk0_21)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f281,f369]) ).
fof(f3963,plain,
( sk0_1 = sum(n9,sum(n6,succ(sk0_21)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f22,f3962]) ).
fof(f3964,plain,
( sk0_1 = sum(n9,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f281,f3963]) ).
fof(f3965,plain,
( sk0_1 = sum(n9,sum(n6,n8))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f11,f3964]) ).
fof(f3966,plain,
( sk0_1 = sum(n9,n3)
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f100,f3965]) ).
fof(f3967,plain,
( sk0_1 = n1
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f128,f3966]) ).
fof(f3973,plain,
( sk0_0 != n1
| ~ spl0_18
| ~ spl0_10
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3967,f295]) ).
fof(f3984,plain,
( sk0_0 = sum(sum(n9,succ(n7)),sum(pred(sk0_21),n0))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f281,f3936]) ).
fof(f3985,plain,
( sk0_0 = sum(sum(n9,n8),sum(pred(sk0_21),n0))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f11,f3984]) ).
fof(f3986,plain,
( sk0_0 = sum(n6,sum(pred(sk0_21),n0))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f133,f3985]) ).
fof(f3987,plain,
( sk0_0 = sum(n6,sum(pred(n7),n0))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f281,f3986]) ).
fof(f3988,plain,
( sk0_0 = sum(n6,sum(n6,n0))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f22,f3987]) ).
fof(f3989,plain,
( sk0_0 = sum(n6,n6)
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f92,f3988]) ).
fof(f3990,plain,
( sk0_0 = n1
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f98,f3989]) ).
fof(f3991,plain,
( $false
| spl0_22
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f3990,f3973]) ).
fof(f3992,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f3991]) ).
fof(f3993,plain,
( sk0_1 = sum(sum(pred(n10),succ(sk0_20)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f256,f3271]) ).
fof(f3994,plain,
( sk0_1 = sum(sum(n9,succ(sk0_20)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f25,f3993]) ).
fof(f3995,plain,
( sk0_1 = sum(sum(n9,succ(n10)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f256,f3994]) ).
fof(f3996,plain,
( sk0_1 = sum(sum(n9,n0),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f14,f3995]) ).
fof(f3997,plain,
( sk0_1 = sum(n9,n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f125,f3996]) ).
fof(f3998,plain,
( sk0_1 = n10
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f126,f3997]) ).
fof(f3999,plain,
( sk0_0 = sum(sum(pred(n10),n7),sum(n5,succ(sk0_20)))
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f256,f3275]) ).
fof(f4000,plain,
( sk0_0 = sum(sum(n9,n7),sum(n5,succ(sk0_20)))
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f25,f3999]) ).
fof(f4001,plain,
( sk0_0 = sum(n5,sum(n5,succ(sk0_20)))
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f132,f4000]) ).
fof(f4002,plain,
( sk0_0 = sum(n5,sum(n5,succ(n10)))
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f256,f4001]) ).
fof(f4003,plain,
( sk0_0 = sum(n5,sum(n5,n0))
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f14,f4002]) ).
fof(f4004,plain,
( sk0_0 = sum(n5,n5)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f81,f4003]) ).
fof(f4005,plain,
( sk0_0 = n10
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f86,f4004]) ).
fof(f4010,plain,
( n10 != sk0_1
| ~ spl0_10
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4005,f295]) ).
fof(f4011,plain,
( n10 != n10
| ~ spl0_10
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f3998,f4010]) ).
fof(f4012,plain,
( $false
| ~ spl0_10
| ~ spl0_17
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4011]) ).
fof(f4013,plain,
( ~ spl0_10
| ~ spl0_17
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4012]) ).
fof(f4014,plain,
( sk0_0 = sum(sum(n9,succ(sk0_21)),sum(pred(sk0_21),succ(n10)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f256,f354]) ).
fof(f4015,plain,
( sk0_0 = sum(sum(n9,succ(sk0_21)),sum(pred(sk0_21),n0))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f4014]) ).
fof(f4021,plain,
( sk0_1 = sum(n9,sum(pred(sk0_21),succ(n10)))
| ~ spl0_21
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f290,f3941]) ).
fof(f4022,plain,
( sk0_1 = sum(n9,sum(pred(n10),succ(n10)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f290,f4021]) ).
fof(f4023,plain,
( sk0_1 = sum(n9,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f4022]) ).
fof(f4024,plain,
( sk0_1 = sum(n9,sum(n9,n0))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f4023]) ).
fof(f4025,plain,
( sk0_1 = sum(n9,n9)
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f4024]) ).
fof(f4026,plain,
( sk0_1 = n7
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f134,f4025]) ).
fof(f4027,plain,
( sk0_0 = sum(sum(n9,succ(sk0_21)),sum(pred(n10),n0))
| ~ spl0_21
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f290,f4015]) ).
fof(f4028,plain,
( sk0_0 = sum(sum(n9,succ(n10)),sum(pred(n10),n0))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f290,f4027]) ).
fof(f4029,plain,
( sk0_0 = sum(sum(n9,n0),sum(pred(n10),n0))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f4028]) ).
fof(f4030,plain,
( sk0_0 = sum(n9,sum(pred(n10),n0))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f4029]) ).
fof(f4031,plain,
( sk0_0 = sum(n9,sum(n9,n0))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f4030]) ).
fof(f4032,plain,
( sk0_0 = sum(n9,n9)
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f4031]) ).
fof(f4033,plain,
( sk0_0 = n7
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f134,f4032]) ).
fof(f4038,plain,
( sk0_0 != n7
| ~ spl0_21
| ~ spl0_10
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4026,f295]) ).
fof(f4048,plain,
( n7 != n7
| ~ spl0_21
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4033,f4038]) ).
fof(f4049,plain,
( $false
| ~ spl0_21
| ~ spl0_10
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4048]) ).
fof(f4050,plain,
( ~ spl0_21
| ~ spl0_10
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4049]) ).
fof(f4057,plain,
( sk0_1 = sum(n9,sum(pred(n9),succ(sk0_21)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f287,f369]) ).
fof(f4058,plain,
( sk0_1 = sum(n9,sum(n8,succ(sk0_21)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f24,f4057]) ).
fof(f4059,plain,
( sk0_1 = sum(n9,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f287,f4058]) ).
fof(f4060,plain,
( sk0_1 = sum(n9,sum(n8,n10))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f13,f4059]) ).
fof(f4061,plain,
( sk0_1 = sum(n9,n7)
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f124,f4060]) ).
fof(f4062,plain,
( sk0_1 = n5
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f132,f4061]) ).
fof(f4068,plain,
( sk0_0 != n5
| ~ spl0_20
| ~ spl0_10
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4062,f295]) ).
fof(f4087,plain,
( sk0_0 = sum(sum(n9,succ(n9)),sum(pred(sk0_21),n0))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f287,f4015]) ).
fof(f4088,plain,
( sk0_0 = sum(sum(n9,n10),sum(pred(sk0_21),n0))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f13,f4087]) ).
fof(f4089,plain,
( sk0_0 = sum(n8,sum(pred(sk0_21),n0))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f135,f4088]) ).
fof(f4090,plain,
( sk0_0 = sum(n8,sum(pred(n9),n0))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f287,f4089]) ).
fof(f4091,plain,
( sk0_0 = sum(n8,sum(n8,n0))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f24,f4090]) ).
fof(f4092,plain,
( sk0_0 = sum(n8,n8)
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f114,f4091]) ).
fof(f4093,plain,
( sk0_0 = n5
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f122,f4092]) ).
fof(f4094,plain,
( $false
| spl0_22
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f4093,f4068]) ).
fof(f4095,plain,
( spl0_22
| ~ spl0_20
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f4094]) ).
fof(f4102,plain,
( sk0_0 = sum(sum(n9,succ(sk0_21)),sum(pred(n8),n0))
| ~ spl0_19
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f284,f4015]) ).
fof(f4103,plain,
( sk0_0 = sum(sum(n9,succ(n8)),sum(pred(n8),n0))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f284,f4102]) ).
fof(f4104,plain,
( sk0_0 = sum(sum(n9,n9),sum(pred(n8),n0))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f12,f4103]) ).
fof(f4105,plain,
( sk0_0 = sum(n7,sum(pred(n8),n0))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f134,f4104]) ).
fof(f4106,plain,
( sk0_0 = sum(n7,sum(n7,n0))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f23,f4105]) ).
fof(f4107,plain,
( sk0_0 = sum(n7,n7)
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f103,f4106]) ).
fof(f4108,plain,
( sk0_0 = n3
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f110,f4107]) ).
fof(f4117,plain,
( n3 != sk0_1
| ~ spl0_19
| ~ spl0_10
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4108,f295]) ).
fof(f4118,plain,
( sk0_1 = sum(n9,sum(pred(n8),succ(sk0_21)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f284,f3941]) ).
fof(f4119,plain,
( sk0_1 = sum(n9,sum(n7,succ(sk0_21)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f23,f4118]) ).
fof(f4120,plain,
( sk0_1 = sum(n9,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f284,f4119]) ).
fof(f4121,plain,
( sk0_1 = sum(n9,sum(n7,n9))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f12,f4120]) ).
fof(f4122,plain,
( sk0_1 = sum(n9,n5)
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f112,f4121]) ).
fof(f4123,plain,
( sk0_1 = n3
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f130,f4122]) ).
fof(f4124,plain,
( $false
| spl0_22
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f4123,f4117]) ).
fof(f4125,plain,
( spl0_22
| ~ spl0_19
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f4124]) ).
fof(f4126,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n4)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f238,f150]) ).
fof(f4127,plain,
( sk0_1 = sum(sum(pred(n4),succ(n4)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f238,f4126]) ).
fof(f4128,plain,
( sk0_1 = sum(sum(n3,succ(n4)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f4127]) ).
fof(f4129,plain,
( sk0_1 = sum(sum(n3,n5),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f4128]) ).
fof(f4130,plain,
( sk0_1 = sum(n8,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f64,f4129]) ).
fof(f4131,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n4)))
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f238,f149]) ).
fof(f4132,plain,
( sk0_0 = sum(sum(pred(n4),succ(sk0_21)),sum(pred(sk0_21),succ(n4)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f238,f4131]) ).
fof(f4133,plain,
( sk0_0 = sum(sum(n3,succ(sk0_21)),sum(pred(sk0_21),succ(n4)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f4132]) ).
fof(f4134,plain,
( sk0_0 = sum(sum(n3,succ(sk0_21)),sum(pred(sk0_21),n5))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f4133]) ).
fof(f4155,plain,
( sk0_1 = sum(n8,sum(pred(n9),succ(sk0_21)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f287,f4130]) ).
fof(f4156,plain,
( sk0_1 = sum(n8,sum(n8,succ(sk0_21)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f24,f4155]) ).
fof(f4157,plain,
( sk0_1 = sum(n8,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f287,f4156]) ).
fof(f4158,plain,
( sk0_1 = sum(n8,sum(n8,n10))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f13,f4157]) ).
fof(f4159,plain,
( sk0_1 = sum(n8,n7)
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f124,f4158]) ).
fof(f4160,plain,
( sk0_1 = n4
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f121,f4159]) ).
fof(f4166,plain,
( sk0_0 != n4
| ~ spl0_20
| ~ spl0_4
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4160,f295]) ).
fof(f4171,plain,
( sk0_0 = sum(sum(n3,succ(n9)),sum(pred(sk0_21),n5))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f287,f4134]) ).
fof(f4172,plain,
( sk0_0 = sum(sum(n3,n10),sum(pred(sk0_21),n5))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f13,f4171]) ).
fof(f4173,plain,
( sk0_0 = sum(n2,sum(pred(sk0_21),n5))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f69,f4172]) ).
fof(f4174,plain,
( sk0_0 = sum(n2,sum(pred(n9),n5))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f287,f4173]) ).
fof(f4175,plain,
( sk0_0 = sum(n2,sum(n8,n5))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f24,f4174]) ).
fof(f4176,plain,
( sk0_0 = sum(n2,n2)
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f119,f4175]) ).
fof(f4177,plain,
( sk0_0 = n4
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f50,f4176]) ).
fof(f4178,plain,
( $false
| spl0_22
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f4177,f4166]) ).
fof(f4179,plain,
( spl0_22
| ~ spl0_20
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f4178]) ).
fof(f4180,plain,
( sk0_0 = sum(sum(n3,succ(n10)),sum(pred(sk0_21),n5))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f290,f4134]) ).
fof(f4181,plain,
( sk0_0 = sum(sum(n3,n0),sum(pred(sk0_21),n5))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f14,f4180]) ).
fof(f4182,plain,
( sk0_0 = sum(n3,sum(pred(sk0_21),n5))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f59,f4181]) ).
fof(f4183,plain,
( sk0_0 = sum(n3,sum(pred(n10),n5))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f290,f4182]) ).
fof(f4184,plain,
( sk0_0 = sum(n3,sum(n9,n5))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f25,f4183]) ).
fof(f4185,plain,
( sk0_0 = sum(n3,n3)
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f130,f4184]) ).
fof(f4186,plain,
( sk0_0 = n6
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f62,f4185]) ).
fof(f4196,plain,
( n6 != sk0_1
| ~ spl0_21
| ~ spl0_4
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4186,f295]) ).
fof(f4202,plain,
( sk0_1 = sum(n8,sum(pred(n10),succ(sk0_21)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f290,f4130]) ).
fof(f4203,plain,
( sk0_1 = sum(n8,sum(n9,succ(sk0_21)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f25,f4202]) ).
fof(f4204,plain,
( sk0_1 = sum(n8,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f290,f4203]) ).
fof(f4205,plain,
( sk0_1 = sum(n8,sum(n9,n0))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f14,f4204]) ).
fof(f4206,plain,
( sk0_1 = sum(n8,n9)
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f125,f4205]) ).
fof(f4207,plain,
( sk0_1 = n6
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f123,f4206]) ).
fof(f4208,plain,
( $false
| spl0_22
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f4207,f4196]) ).
fof(f4209,plain,
( spl0_22
| ~ spl0_21
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f4208]) ).
fof(f4214,plain,
( sk0_1 = sum(n8,sum(pred(sk0_21),succ(n7)))
| ~ spl0_18
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f281,f4130]) ).
fof(f4215,plain,
( sk0_1 = sum(n8,sum(pred(n7),succ(n7)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f281,f4214]) ).
fof(f4216,plain,
( sk0_1 = sum(n8,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f22,f4215]) ).
fof(f4217,plain,
( sk0_1 = sum(n8,sum(n6,n8))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f11,f4216]) ).
fof(f4218,plain,
( sk0_1 = sum(n8,n3)
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f100,f4217]) ).
fof(f4219,plain,
( sk0_1 = n0
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f117,f4218]) ).
fof(f4226,plain,
( sk0_0 != n0
| ~ spl0_18
| ~ spl0_4
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4219,f295]) ).
fof(f4231,plain,
( sk0_0 = sum(sum(n3,succ(n7)),sum(pred(sk0_21),n5))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f281,f4134]) ).
fof(f4232,plain,
( sk0_0 = sum(sum(n3,n8),sum(pred(sk0_21),n5))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f11,f4231]) ).
fof(f4233,plain,
( sk0_0 = sum(n0,sum(pred(sk0_21),n5))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f67,f4232]) ).
fof(f4234,plain,
( sk0_0 = sum(n0,sum(pred(n7),n5))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f281,f4233]) ).
fof(f4235,plain,
( sk0_0 = sum(n0,sum(n6,n5))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f22,f4234]) ).
fof(f4236,plain,
( sk0_0 = sum(n0,n0)
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f97,f4235]) ).
fof(f4237,plain,
( sk0_0 = n0
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f26,f4236]) ).
fof(f4238,plain,
( $false
| spl0_22
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f4237,f4226]) ).
fof(f4239,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f4238]) ).
fof(f4240,plain,
( sk0_0 = sum(sum(pred(n4),n7),sum(n5,succ(sk0_20)))
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f238,f3275]) ).
fof(f4241,plain,
( sk0_0 = sum(sum(n3,n7),sum(n5,succ(sk0_20)))
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f19,f4240]) ).
fof(f4242,plain,
( sk0_0 = sum(n10,sum(n5,succ(sk0_20)))
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f66,f4241]) ).
fof(f4243,plain,
( sk0_0 = sum(n10,sum(n5,succ(n4)))
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f238,f4242]) ).
fof(f4244,plain,
( sk0_0 = sum(n10,sum(n5,n5))
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f8,f4243]) ).
fof(f4245,plain,
( sk0_0 = sum(n10,n10)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f86,f4244]) ).
fof(f4246,plain,
( sk0_0 = n9
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f146,f4245]) ).
fof(f4247,plain,
( sk0_1 = sum(sum(pred(n4),succ(sk0_20)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f238,f3271]) ).
fof(f4248,plain,
( sk0_1 = sum(sum(n3,succ(sk0_20)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f19,f4247]) ).
fof(f4249,plain,
( sk0_1 = sum(sum(n3,succ(n4)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f238,f4248]) ).
fof(f4250,plain,
( sk0_1 = sum(sum(n3,n5),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f8,f4249]) ).
fof(f4251,plain,
( sk0_1 = sum(n8,n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f64,f4250]) ).
fof(f4252,plain,
( sk0_1 = n9
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f115,f4251]) ).
fof(f4257,plain,
( n9 != sk0_1
| ~ spl0_4
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4246,f295]) ).
fof(f4258,plain,
( n9 != n9
| ~ spl0_4
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4252,f4257]) ).
fof(f4259,plain,
( $false
| ~ spl0_4
| ~ spl0_17
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4258]) ).
fof(f4260,plain,
( ~ spl0_4
| ~ spl0_17
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4259]) ).
fof(f4266,plain,
( sk0_1 = sum(n8,sum(pred(sk0_21),succ(n8)))
| ~ spl0_19
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f284,f4130]) ).
fof(f4267,plain,
( sk0_1 = sum(n8,sum(pred(n8),succ(n8)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f284,f4266]) ).
fof(f4268,plain,
( sk0_1 = sum(n8,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f23,f4267]) ).
fof(f4269,plain,
( sk0_1 = sum(n8,sum(n7,n9))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f12,f4268]) ).
fof(f4270,plain,
( sk0_1 = sum(n8,n5)
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f112,f4269]) ).
fof(f4271,plain,
( sk0_1 = n2
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f119,f4270]) ).
fof(f4273,plain,
( sk0_0 = sum(sum(n3,succ(sk0_21)),sum(pred(n8),n5))
| ~ spl0_19
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f284,f4134]) ).
fof(f4274,plain,
( sk0_0 = sum(sum(n3,succ(n8)),sum(pred(n8),n5))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f284,f4273]) ).
fof(f4275,plain,
( sk0_0 = sum(sum(n3,n9),sum(pred(n8),n5))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f12,f4274]) ).
fof(f4276,plain,
( sk0_0 = sum(n1,sum(pred(n8),n5))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f68,f4275]) ).
fof(f4277,plain,
( sk0_0 = sum(n1,sum(n7,n5))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f23,f4276]) ).
fof(f4278,plain,
( sk0_0 = sum(n1,n1)
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f108,f4277]) ).
fof(f4279,plain,
( sk0_0 = n2
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f38,f4278]) ).
fof(f4284,plain,
( sk0_0 != n2
| ~ spl0_19
| ~ spl0_4
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4271,f295]) ).
fof(f4294,plain,
( n2 != n2
| ~ spl0_19
| ~ spl0_4
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4279,f4284]) ).
fof(f4295,plain,
( $false
| ~ spl0_19
| ~ spl0_4
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4294]) ).
fof(f4296,plain,
( ~ spl0_19
| ~ spl0_4
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4295]) ).
fof(f4297,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n6)))
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f244,f149]) ).
fof(f4298,plain,
( sk0_0 = sum(sum(pred(n6),succ(sk0_21)),sum(pred(sk0_21),succ(n6)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f244,f4297]) ).
fof(f4299,plain,
( sk0_0 = sum(sum(n5,succ(sk0_21)),sum(pred(sk0_21),succ(n6)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f21,f4298]) ).
fof(f4300,plain,
( sk0_0 = sum(sum(n5,succ(sk0_21)),sum(pred(sk0_21),n7))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f10,f4299]) ).
fof(f4301,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n6)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f244,f150]) ).
fof(f4302,plain,
( sk0_1 = sum(sum(pred(n6),succ(n6)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f244,f4301]) ).
fof(f4303,plain,
( sk0_1 = sum(sum(n5,succ(n6)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f21,f4302]) ).
fof(f4304,plain,
( sk0_1 = sum(sum(n5,n7),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f10,f4303]) ).
fof(f4305,plain,
( sk0_1 = sum(n1,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f88,f4304]) ).
fof(f4317,plain,
( sk0_1 = sum(sum(pred(n6),succ(sk0_20)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f244,f3271]) ).
fof(f4318,plain,
( sk0_1 = sum(sum(n5,succ(sk0_20)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f21,f4317]) ).
fof(f4319,plain,
( sk0_1 = sum(sum(n5,succ(n6)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f244,f4318]) ).
fof(f4320,plain,
( sk0_1 = sum(sum(n5,n7),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f10,f4319]) ).
fof(f4321,plain,
( sk0_1 = sum(n1,n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f88,f4320]) ).
fof(f4322,plain,
( sk0_1 = n2
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f38,f4321]) ).
fof(f4328,plain,
( sk0_0 != n2
| ~ spl0_6
| ~ spl0_17
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4322,f295]) ).
fof(f4338,plain,
( sk0_0 = sum(sum(pred(n6),n7),sum(n5,succ(sk0_20)))
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f244,f3275]) ).
fof(f4339,plain,
( sk0_0 = sum(sum(n5,n7),sum(n5,succ(sk0_20)))
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f21,f4338]) ).
fof(f4340,plain,
( sk0_0 = sum(n1,sum(n5,succ(sk0_20)))
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f88,f4339]) ).
fof(f4341,plain,
( sk0_0 = sum(n1,sum(n5,succ(n6)))
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f244,f4340]) ).
fof(f4342,plain,
( sk0_0 = sum(n1,sum(n5,n7))
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f10,f4341]) ).
fof(f4343,plain,
( sk0_0 = sum(n1,n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f88,f4342]) ).
fof(f4344,plain,
( sk0_0 = n2
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f38,f4343]) ).
fof(f4348,plain,
( n2 != n2
| ~ spl0_6
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4344,f4328]) ).
fof(f4349,plain,
( $false
| ~ spl0_6
| ~ spl0_17
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4348]) ).
fof(f4350,plain,
( ~ spl0_6
| ~ spl0_17
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4349]) ).
fof(f4361,plain,
( sk0_1 = sum(n1,sum(pred(n7),succ(sk0_21)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f281,f4305]) ).
fof(f4362,plain,
( sk0_1 = sum(n1,sum(n6,succ(sk0_21)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f22,f4361]) ).
fof(f4363,plain,
( sk0_1 = sum(n1,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f281,f4362]) ).
fof(f4364,plain,
( sk0_1 = sum(n1,sum(n6,n8))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f11,f4363]) ).
fof(f4365,plain,
( sk0_1 = sum(n1,n3)
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f100,f4364]) ).
fof(f4366,plain,
( sk0_1 = n4
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f40,f4365]) ).
fof(f4367,plain,
( sk0_0 != n4
| ~ spl0_18
| ~ spl0_6
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4366,f295]) ).
fof(f4372,plain,
( sk0_0 = sum(sum(n5,succ(n7)),sum(pred(sk0_21),n7))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f281,f4300]) ).
fof(f4373,plain,
( sk0_0 = sum(sum(n5,n8),sum(pred(sk0_21),n7))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f11,f4372]) ).
fof(f4374,plain,
( sk0_0 = sum(n2,sum(pred(sk0_21),n7))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f89,f4373]) ).
fof(f4375,plain,
( sk0_0 = sum(n2,sum(pred(n7),n7))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f281,f4374]) ).
fof(f4376,plain,
( sk0_0 = sum(n2,sum(n6,n7))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f22,f4375]) ).
fof(f4377,plain,
( sk0_0 = sum(n2,n2)
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f99,f4376]) ).
fof(f4378,plain,
( sk0_0 = n4
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f50,f4377]) ).
fof(f4379,plain,
( $false
| spl0_22
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f4378,f4367]) ).
fof(f4380,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f4379]) ).
fof(f4381,plain,
( sk0_0 = sum(sum(n5,succ(n9)),sum(pred(sk0_21),n7))
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f287,f4300]) ).
fof(f4382,plain,
( sk0_0 = sum(sum(n5,n10),sum(pred(sk0_21),n7))
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f13,f4381]) ).
fof(f4383,plain,
( sk0_0 = sum(n4,sum(pred(sk0_21),n7))
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f91,f4382]) ).
fof(f4384,plain,
( sk0_0 = sum(n4,sum(pred(n9),n7))
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f287,f4383]) ).
fof(f4385,plain,
( sk0_0 = sum(n4,sum(n8,n7))
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f24,f4384]) ).
fof(f4386,plain,
( sk0_0 = sum(n4,n4)
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f121,f4385]) ).
fof(f4387,plain,
( sk0_0 = n8
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f74,f4386]) ).
fof(f4397,plain,
( n8 != sk0_1
| ~ spl0_20
| ~ spl0_6
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4387,f295]) ).
fof(f4407,plain,
( sk0_1 = sum(n1,sum(pred(n9),succ(sk0_21)))
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f287,f4305]) ).
fof(f4408,plain,
( sk0_1 = sum(n1,sum(n8,succ(sk0_21)))
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f24,f4407]) ).
fof(f4409,plain,
( sk0_1 = sum(n1,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f287,f4408]) ).
fof(f4410,plain,
( sk0_1 = sum(n1,sum(n8,n10))
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f13,f4409]) ).
fof(f4411,plain,
( sk0_1 = sum(n1,n7)
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f124,f4410]) ).
fof(f4412,plain,
( sk0_1 = n8
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f44,f4411]) ).
fof(f4413,plain,
( $false
| spl0_22
| ~ spl0_20
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f4412,f4397]) ).
fof(f4414,plain,
( spl0_22
| ~ spl0_20
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f4413]) ).
fof(f4422,plain,
( sk0_1 = sum(n1,sum(pred(n10),succ(sk0_21)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f290,f4305]) ).
fof(f4423,plain,
( sk0_1 = sum(n1,sum(n9,succ(sk0_21)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f25,f4422]) ).
fof(f4424,plain,
( sk0_1 = sum(n1,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f290,f4423]) ).
fof(f4425,plain,
( sk0_1 = sum(n1,sum(n9,n0))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f14,f4424]) ).
fof(f4426,plain,
( sk0_1 = sum(n1,n9)
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f125,f4425]) ).
fof(f4427,plain,
( sk0_1 = n10
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f46,f4426]) ).
fof(f4433,plain,
( sk0_0 != n10
| ~ spl0_21
| ~ spl0_6
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4427,f295]) ).
fof(f4440,plain,
( sk0_0 = sum(sum(n5,succ(n10)),sum(pred(sk0_21),n7))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f290,f4300]) ).
fof(f4441,plain,
( sk0_0 = sum(sum(n5,n0),sum(pred(sk0_21),n7))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f14,f4440]) ).
fof(f4442,plain,
( sk0_0 = sum(n5,sum(pred(sk0_21),n7))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f81,f4441]) ).
fof(f4443,plain,
( sk0_0 = sum(n5,sum(pred(n10),n7))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f290,f4442]) ).
fof(f4444,plain,
( sk0_0 = sum(n5,sum(n9,n7))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f25,f4443]) ).
fof(f4445,plain,
( sk0_0 = sum(n5,n5)
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f132,f4444]) ).
fof(f4446,plain,
( sk0_0 = n10
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f86,f4445]) ).
fof(f4447,plain,
( $false
| spl0_22
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f4446,f4433]) ).
fof(f4448,plain,
( spl0_22
| ~ spl0_21
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f4447]) ).
fof(f4458,plain,
( sk0_0 = sum(sum(n5,succ(sk0_21)),sum(pred(n8),n7))
| ~ spl0_19
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f284,f4300]) ).
fof(f4459,plain,
( sk0_0 = sum(sum(n5,succ(n8)),sum(pred(n8),n7))
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f284,f4458]) ).
fof(f4460,plain,
( sk0_0 = sum(sum(n5,n9),sum(pred(n8),n7))
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f12,f4459]) ).
fof(f4461,plain,
( sk0_0 = sum(n3,sum(pred(n8),n7))
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f90,f4460]) ).
fof(f4462,plain,
( sk0_0 = sum(n3,sum(n7,n7))
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f23,f4461]) ).
fof(f4463,plain,
( sk0_0 = sum(n3,n3)
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f110,f4462]) ).
fof(f4464,plain,
( sk0_0 = n6
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f62,f4463]) ).
fof(f4471,plain,
( n6 != sk0_1
| ~ spl0_19
| ~ spl0_6
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4464,f295]) ).
fof(f4476,plain,
( sk0_1 = sum(n1,sum(pred(n8),succ(sk0_21)))
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f284,f4305]) ).
fof(f4477,plain,
( sk0_1 = sum(n1,sum(n7,succ(sk0_21)))
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f23,f4476]) ).
fof(f4478,plain,
( sk0_1 = sum(n1,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f284,f4477]) ).
fof(f4479,plain,
( sk0_1 = sum(n1,sum(n7,n9))
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f12,f4478]) ).
fof(f4480,plain,
( sk0_1 = sum(n1,n5)
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f112,f4479]) ).
fof(f4481,plain,
( sk0_1 = n6
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f42,f4480]) ).
fof(f4482,plain,
( $false
| spl0_22
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f4481,f4471]) ).
fof(f4483,plain,
( spl0_22
| ~ spl0_19
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f4482]) ).
fof(f4484,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n5)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f241,f150]) ).
fof(f4485,plain,
( sk0_1 = sum(sum(pred(n5),succ(n5)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f241,f4484]) ).
fof(f4486,plain,
( sk0_1 = sum(sum(n4,succ(n5)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f4485]) ).
fof(f4487,plain,
( sk0_1 = sum(sum(n4,n6),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f4486]) ).
fof(f4488,plain,
( sk0_1 = sum(n10,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f76,f4487]) ).
fof(f4489,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n5)))
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f241,f149]) ).
fof(f4490,plain,
( sk0_0 = sum(sum(pred(n5),succ(sk0_21)),sum(pred(sk0_21),succ(n5)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f241,f4489]) ).
fof(f4491,plain,
( sk0_0 = sum(sum(n4,succ(sk0_21)),sum(pred(sk0_21),succ(n5)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f4490]) ).
fof(f4492,plain,
( sk0_0 = sum(sum(n4,succ(sk0_21)),sum(pred(sk0_21),n6))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f4491]) ).
fof(f4500,plain,
( sk0_0 = sum(sum(pred(n5),n7),sum(n5,succ(sk0_20)))
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f241,f3275]) ).
fof(f4501,plain,
( sk0_0 = sum(sum(n4,n7),sum(n5,succ(sk0_20)))
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f20,f4500]) ).
fof(f4502,plain,
( sk0_0 = sum(n0,sum(n5,succ(sk0_20)))
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f77,f4501]) ).
fof(f4503,plain,
( sk0_0 = sum(n0,sum(n5,succ(n5)))
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f241,f4502]) ).
fof(f4504,plain,
( sk0_0 = sum(n0,sum(n5,n6))
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f9,f4503]) ).
fof(f4505,plain,
( sk0_0 = sum(n0,n0)
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f87,f4504]) ).
fof(f4506,plain,
( sk0_0 = n0
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f26,f4505]) ).
fof(f4512,plain,
( n0 != sk0_1
| ~ spl0_5
| ~ spl0_17
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4506,f295]) ).
fof(f4517,plain,
( sk0_1 = sum(sum(pred(n5),succ(sk0_20)),n1)
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f241,f3271]) ).
fof(f4518,plain,
( sk0_1 = sum(sum(n4,succ(sk0_20)),n1)
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f20,f4517]) ).
fof(f4519,plain,
( sk0_1 = sum(sum(n4,succ(n5)),n1)
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f241,f4518]) ).
fof(f4520,plain,
( sk0_1 = sum(sum(n4,n6),n1)
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f9,f4519]) ).
fof(f4521,plain,
( sk0_1 = sum(n10,n1)
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f76,f4520]) ).
fof(f4522,plain,
( sk0_1 = n0
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f137,f4521]) ).
fof(f4535,plain,
( n0 != n0
| ~ spl0_5
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4522,f4512]) ).
fof(f4536,plain,
( $false
| ~ spl0_5
| ~ spl0_17
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4535]) ).
fof(f4537,plain,
( ~ spl0_5
| ~ spl0_17
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4536]) ).
fof(f4543,plain,
( sk0_1 = sum(n10,sum(pred(n7),succ(sk0_21)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f281,f4488]) ).
fof(f4544,plain,
( sk0_1 = sum(n10,sum(n6,succ(sk0_21)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f22,f4543]) ).
fof(f4545,plain,
( sk0_1 = sum(n10,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f281,f4544]) ).
fof(f4546,plain,
( sk0_1 = sum(n10,sum(n6,n8))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f11,f4545]) ).
fof(f4547,plain,
( sk0_1 = sum(n10,n3)
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f100,f4546]) ).
fof(f4548,plain,
( sk0_1 = n2
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f139,f4547]) ).
fof(f4553,plain,
( sk0_0 = sum(sum(n4,succ(n7)),sum(pred(sk0_21),n6))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f281,f4492]) ).
fof(f4554,plain,
( sk0_0 = sum(sum(n4,n8),sum(pred(sk0_21),n6))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f11,f4553]) ).
fof(f4555,plain,
( sk0_0 = sum(n1,sum(pred(sk0_21),n6))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f78,f4554]) ).
fof(f4556,plain,
( sk0_0 = sum(n1,sum(pred(n7),n6))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f281,f4555]) ).
fof(f4557,plain,
( sk0_0 = sum(n1,sum(n6,n6))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f22,f4556]) ).
fof(f4558,plain,
( sk0_0 = sum(n1,n1)
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f98,f4557]) ).
fof(f4559,plain,
( sk0_0 = n2
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f38,f4558]) ).
fof(f4564,plain,
( n2 != sk0_1
| ~ spl0_18
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4559,f295]) ).
fof(f4565,plain,
( n2 != n2
| ~ spl0_18
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4548,f4564]) ).
fof(f4566,plain,
( $false
| ~ spl0_18
| ~ spl0_5
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4565]) ).
fof(f4567,plain,
( ~ spl0_18
| ~ spl0_5
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4566]) ).
fof(f4572,plain,
( sk0_0 = sum(sum(n4,succ(n10)),sum(pred(sk0_21),n6))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f290,f4492]) ).
fof(f4573,plain,
( sk0_0 = sum(sum(n4,n0),sum(pred(sk0_21),n6))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f14,f4572]) ).
fof(f4574,plain,
( sk0_0 = sum(n4,sum(pred(sk0_21),n6))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f70,f4573]) ).
fof(f4575,plain,
( sk0_0 = sum(n4,sum(pred(n10),n6))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f290,f4574]) ).
fof(f4576,plain,
( sk0_0 = sum(n4,sum(n9,n6))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f25,f4575]) ).
fof(f4577,plain,
( sk0_0 = sum(n4,n4)
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f131,f4576]) ).
fof(f4578,plain,
( sk0_0 = n8
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f74,f4577]) ).
fof(f4579,plain,
( n8 != sk0_1
| ~ spl0_21
| ~ spl0_5
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4578,f295]) ).
fof(f4594,plain,
( sk0_1 = sum(n10,sum(pred(n10),succ(sk0_21)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f290,f4488]) ).
fof(f4595,plain,
( sk0_1 = sum(n10,sum(n9,succ(sk0_21)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f25,f4594]) ).
fof(f4596,plain,
( sk0_1 = sum(n10,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f290,f4595]) ).
fof(f4597,plain,
( sk0_1 = sum(n10,sum(n9,n0))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f14,f4596]) ).
fof(f4598,plain,
( sk0_1 = sum(n10,n9)
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f125,f4597]) ).
fof(f4599,plain,
( sk0_1 = n8
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f145,f4598]) ).
fof(f4600,plain,
( $false
| spl0_22
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f4599,f4579]) ).
fof(f4601,plain,
( spl0_22
| ~ spl0_21
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f4600]) ).
fof(f4611,plain,
( sk0_1 = sum(n10,sum(pred(n9),succ(sk0_21)))
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f287,f4488]) ).
fof(f4612,plain,
( sk0_1 = sum(n10,sum(n8,succ(sk0_21)))
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f24,f4611]) ).
fof(f4613,plain,
( sk0_1 = sum(n10,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f287,f4612]) ).
fof(f4614,plain,
( sk0_1 = sum(n10,sum(n8,n10))
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f13,f4613]) ).
fof(f4615,plain,
( sk0_1 = sum(n10,n7)
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f124,f4614]) ).
fof(f4616,plain,
( sk0_1 = n6
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f143,f4615]) ).
fof(f4617,plain,
( sk0_0 != n6
| ~ spl0_20
| ~ spl0_5
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4616,f295]) ).
fof(f4627,plain,
( sk0_0 = sum(sum(n4,succ(n9)),sum(pred(sk0_21),n6))
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f287,f4492]) ).
fof(f4628,plain,
( sk0_0 = sum(sum(n4,n10),sum(pred(sk0_21),n6))
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f13,f4627]) ).
fof(f4629,plain,
( sk0_0 = sum(n3,sum(pred(sk0_21),n6))
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f80,f4628]) ).
fof(f4630,plain,
( sk0_0 = sum(n3,sum(pred(n9),n6))
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f287,f4629]) ).
fof(f4631,plain,
( sk0_0 = sum(n3,sum(n8,n6))
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f24,f4630]) ).
fof(f4632,plain,
( sk0_0 = sum(n3,n3)
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f120,f4631]) ).
fof(f4633,plain,
( sk0_0 = n6
| ~ spl0_20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f62,f4632]) ).
fof(f4640,plain,
( n6 != n6
| ~ spl0_20
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4633,f4617]) ).
fof(f4641,plain,
( $false
| ~ spl0_20
| ~ spl0_5
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4640]) ).
fof(f4642,plain,
( ~ spl0_20
| ~ spl0_5
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4641]) ).
fof(f4653,plain,
( sk0_1 = sum(n10,sum(pred(n8),succ(sk0_21)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f284,f4488]) ).
fof(f4654,plain,
( sk0_1 = sum(n10,sum(n7,succ(sk0_21)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f23,f4653]) ).
fof(f4655,plain,
( sk0_1 = sum(n10,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f284,f4654]) ).
fof(f4656,plain,
( sk0_1 = sum(n10,sum(n7,n9))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f12,f4655]) ).
fof(f4657,plain,
( sk0_1 = sum(n10,n5)
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f112,f4656]) ).
fof(f4658,plain,
( sk0_1 = n4
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f141,f4657]) ).
fof(f4659,plain,
( sk0_0 != n4
| ~ spl0_19
| ~ spl0_5
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4658,f295]) ).
fof(f4664,plain,
( sk0_0 = sum(sum(n4,succ(n8)),sum(pred(sk0_21),n6))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f284,f4492]) ).
fof(f4665,plain,
( sk0_0 = sum(sum(n4,n9),sum(pred(sk0_21),n6))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f12,f4664]) ).
fof(f4666,plain,
( sk0_0 = sum(n2,sum(pred(sk0_21),n6))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f79,f4665]) ).
fof(f4667,plain,
( sk0_0 = sum(n2,sum(pred(n8),n6))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f284,f4666]) ).
fof(f4668,plain,
( sk0_0 = sum(n2,sum(n7,n6))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f23,f4667]) ).
fof(f4669,plain,
( sk0_0 = sum(n2,n2)
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f109,f4668]) ).
fof(f4670,plain,
( sk0_0 = n4
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f50,f4669]) ).
fof(f4671,plain,
( $false
| spl0_22
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f4670,f4659]) ).
fof(f4672,plain,
( spl0_22
| ~ spl0_19
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f4671]) ).
fof(f4673,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n1)))
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f229,f149]) ).
fof(f4674,plain,
( sk0_0 = sum(sum(pred(n1),succ(sk0_21)),sum(pred(sk0_21),succ(n1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f229,f4673]) ).
fof(f4675,plain,
( sk0_0 = sum(sum(n0,succ(sk0_21)),sum(pred(sk0_21),succ(n1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16,f4674]) ).
fof(f4676,plain,
( sk0_0 = sum(sum(n0,succ(sk0_21)),sum(pred(sk0_21),n2))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5,f4675]) ).
fof(f4677,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n1)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f229,f150]) ).
fof(f4678,plain,
( sk0_1 = sum(sum(pred(n1),succ(n1)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f229,f4677]) ).
fof(f4679,plain,
( sk0_1 = sum(sum(n0,succ(n1)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16,f4678]) ).
fof(f4680,plain,
( sk0_1 = sum(sum(n0,n2),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5,f4679]) ).
fof(f4681,plain,
( sk0_1 = sum(n2,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f28,f4680]) ).
fof(f4702,plain,
( sk0_1 = sum(n2,sum(pred(n9),succ(sk0_21)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f287,f4681]) ).
fof(f4703,plain,
( sk0_1 = sum(n2,sum(n8,succ(sk0_21)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f24,f4702]) ).
fof(f4704,plain,
( sk0_1 = sum(n2,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f287,f4703]) ).
fof(f4705,plain,
( sk0_1 = sum(n2,sum(n8,n10))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f13,f4704]) ).
fof(f4706,plain,
( sk0_1 = sum(n2,n7)
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f124,f4705]) ).
fof(f4707,plain,
( sk0_1 = n9
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f55,f4706]) ).
fof(f4713,plain,
( sk0_0 != n9
| ~ spl0_20
| ~ spl0_1
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4707,f295]) ).
fof(f4718,plain,
( sk0_0 = sum(sum(n0,succ(n9)),sum(pred(sk0_21),n2))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f287,f4676]) ).
fof(f4719,plain,
( sk0_0 = sum(sum(n0,n10),sum(pred(sk0_21),n2))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f13,f4718]) ).
fof(f4720,plain,
( sk0_0 = sum(n10,sum(pred(sk0_21),n2))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f36,f4719]) ).
fof(f4721,plain,
( sk0_0 = sum(n10,sum(pred(n9),n2))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f287,f4720]) ).
fof(f4722,plain,
( sk0_0 = sum(n10,sum(n8,n2))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f24,f4721]) ).
fof(f4723,plain,
( sk0_0 = sum(n10,n10)
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f116,f4722]) ).
fof(f4724,plain,
( sk0_0 = n9
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f146,f4723]) ).
fof(f4725,plain,
( $false
| spl0_22
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f4724,f4713]) ).
fof(f4726,plain,
( spl0_22
| ~ spl0_20
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f4725]) ).
fof(f4734,plain,
( sk0_0 = sum(sum(n0,succ(n10)),sum(pred(sk0_21),n2))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f290,f4676]) ).
fof(f4735,plain,
( sk0_0 = sum(sum(n0,n0),sum(pred(sk0_21),n2))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f14,f4734]) ).
fof(f4736,plain,
( sk0_0 = sum(n0,sum(pred(sk0_21),n2))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f26,f4735]) ).
fof(f4737,plain,
( sk0_0 = sum(n0,sum(pred(n10),n2))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f290,f4736]) ).
fof(f4738,plain,
( sk0_0 = sum(n0,sum(n9,n2))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f25,f4737]) ).
fof(f4739,plain,
( sk0_0 = sum(n0,n0)
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f127,f4738]) ).
fof(f4740,plain,
( sk0_0 = n0
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f26,f4739]) ).
fof(f4741,plain,
( n0 != sk0_1
| ~ spl0_21
| ~ spl0_1
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4740,f295]) ).
fof(f4751,plain,
( sk0_1 = sum(n2,sum(pred(n10),succ(sk0_21)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f290,f4681]) ).
fof(f4752,plain,
( sk0_1 = sum(n2,sum(n9,succ(sk0_21)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f25,f4751]) ).
fof(f4753,plain,
( sk0_1 = sum(n2,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f290,f4752]) ).
fof(f4754,plain,
( sk0_1 = sum(n2,sum(n9,n0))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f14,f4753]) ).
fof(f4755,plain,
( sk0_1 = sum(n2,n9)
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f125,f4754]) ).
fof(f4756,plain,
( sk0_1 = n0
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f57,f4755]) ).
fof(f4765,plain,
( n0 != n0
| ~ spl0_21
| ~ spl0_1
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4756,f4741]) ).
fof(f4766,plain,
( $false
| ~ spl0_21
| ~ spl0_1
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4765]) ).
fof(f4767,plain,
( ~ spl0_21
| ~ spl0_1
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4766]) ).
fof(f4778,plain,
( sk0_1 = sum(n2,sum(pred(n7),succ(sk0_21)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f281,f4681]) ).
fof(f4779,plain,
( sk0_1 = sum(n2,sum(n6,succ(sk0_21)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f22,f4778]) ).
fof(f4780,plain,
( sk0_1 = sum(n2,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f281,f4779]) ).
fof(f4781,plain,
( sk0_1 = sum(n2,sum(n6,n8))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f11,f4780]) ).
fof(f4782,plain,
( sk0_1 = sum(n2,n3)
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f100,f4781]) ).
fof(f4783,plain,
( sk0_1 = n5
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f51,f4782]) ).
fof(f4784,plain,
( sk0_0 != n5
| ~ spl0_18
| ~ spl0_1
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4783,f295]) ).
fof(f4789,plain,
( sk0_0 = sum(sum(n0,succ(n7)),sum(pred(sk0_21),n2))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f281,f4676]) ).
fof(f4790,plain,
( sk0_0 = sum(sum(n0,n8),sum(pred(sk0_21),n2))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f11,f4789]) ).
fof(f4791,plain,
( sk0_0 = sum(n8,sum(pred(sk0_21),n2))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f34,f4790]) ).
fof(f4792,plain,
( sk0_0 = sum(n8,sum(pred(n7),n2))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f281,f4791]) ).
fof(f4793,plain,
( sk0_0 = sum(n8,sum(n6,n2))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f22,f4792]) ).
fof(f4794,plain,
( sk0_0 = sum(n8,n8)
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f94,f4793]) ).
fof(f4795,plain,
( sk0_0 = n5
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f122,f4794]) ).
fof(f4796,plain,
( $false
| spl0_22
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f4795,f4784]) ).
fof(f4797,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f4796]) ).
fof(f4798,plain,
( sk0_1 = sum(sum(pred(n1),succ(sk0_20)),n1)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f229,f3271]) ).
fof(f4799,plain,
( sk0_1 = sum(sum(n0,succ(sk0_20)),n1)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f16,f4798]) ).
fof(f4800,plain,
( sk0_1 = sum(sum(n0,succ(n1)),n1)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f229,f4799]) ).
fof(f4801,plain,
( sk0_1 = sum(sum(n0,n2),n1)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f5,f4800]) ).
fof(f4802,plain,
( sk0_1 = sum(n2,n1)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f28,f4801]) ).
fof(f4803,plain,
( sk0_1 = n3
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f49,f4802]) ).
fof(f4804,plain,
( sk0_0 = sum(sum(pred(n1),n7),sum(n5,succ(sk0_20)))
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f229,f3275]) ).
fof(f4805,plain,
( sk0_0 = sum(sum(n0,n7),sum(n5,succ(sk0_20)))
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f16,f4804]) ).
fof(f4806,plain,
( sk0_0 = sum(n7,sum(n5,succ(sk0_20)))
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f33,f4805]) ).
fof(f4807,plain,
( sk0_0 = sum(n7,sum(n5,succ(n1)))
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f229,f4806]) ).
fof(f4808,plain,
( sk0_0 = sum(n7,sum(n5,n2))
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f5,f4807]) ).
fof(f4809,plain,
( sk0_0 = sum(n7,n7)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f83,f4808]) ).
fof(f4810,plain,
( sk0_0 = n3
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f110,f4809]) ).
fof(f4827,plain,
( n3 != sk0_1
| ~ spl0_1
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4810,f295]) ).
fof(f4828,plain,
( n3 != n3
| ~ spl0_1
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4803,f4827]) ).
fof(f4829,plain,
( $false
| ~ spl0_1
| ~ spl0_17
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4828]) ).
fof(f4830,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4829]) ).
fof(f4837,plain,
( sk0_1 = sum(n2,sum(pred(sk0_21),succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f284,f4681]) ).
fof(f4838,plain,
( sk0_1 = sum(n2,sum(pred(n8),succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f284,f4837]) ).
fof(f4839,plain,
( sk0_1 = sum(n2,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f23,f4838]) ).
fof(f4840,plain,
( sk0_1 = sum(n2,sum(n7,n9))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f12,f4839]) ).
fof(f4841,plain,
( sk0_1 = sum(n2,n5)
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f112,f4840]) ).
fof(f4842,plain,
( sk0_1 = n7
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f53,f4841]) ).
fof(f4847,plain,
( sk0_0 != n7
| ~ spl0_19
| ~ spl0_1
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4842,f295]) ).
fof(f4852,plain,
( sk0_0 = sum(sum(n0,succ(n8)),sum(pred(sk0_21),n2))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f284,f4676]) ).
fof(f4853,plain,
( sk0_0 = sum(sum(n0,n9),sum(pred(sk0_21),n2))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f12,f4852]) ).
fof(f4854,plain,
( sk0_0 = sum(n9,sum(pred(sk0_21),n2))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f35,f4853]) ).
fof(f4855,plain,
( sk0_0 = sum(n9,sum(pred(n8),n2))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f284,f4854]) ).
fof(f4856,plain,
( sk0_0 = sum(n9,sum(n7,n2))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f23,f4855]) ).
fof(f4857,plain,
( sk0_0 = sum(n9,n9)
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f105,f4856]) ).
fof(f4858,plain,
( sk0_0 = n7
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f134,f4857]) ).
fof(f4859,plain,
( $false
| spl0_22
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f4858,f4847]) ).
fof(f4860,plain,
( spl0_22
| ~ spl0_19
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f4859]) ).
fof(f4861,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n8)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f250,f150]) ).
fof(f4862,plain,
( sk0_1 = sum(sum(pred(n8),succ(n8)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f250,f4861]) ).
fof(f4863,plain,
( sk0_1 = sum(sum(n7,succ(n8)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f23,f4862]) ).
fof(f4864,plain,
( sk0_1 = sum(sum(n7,n9),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f12,f4863]) ).
fof(f4865,plain,
( sk0_1 = sum(n5,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f112,f4864]) ).
fof(f4866,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n8)))
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f250,f149]) ).
fof(f4867,plain,
( sk0_0 = sum(sum(pred(n8),succ(sk0_21)),sum(pred(sk0_21),succ(n8)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f250,f4866]) ).
fof(f4868,plain,
( sk0_0 = sum(sum(n7,succ(sk0_21)),sum(pred(sk0_21),succ(n8)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f23,f4867]) ).
fof(f4869,plain,
( sk0_0 = sum(sum(n7,succ(sk0_21)),sum(pred(sk0_21),n9))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f12,f4868]) ).
fof(f4879,plain,
( sk0_0 = sum(sum(pred(n8),n7),sum(n5,succ(sk0_20)))
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f250,f3275]) ).
fof(f4880,plain,
( sk0_0 = sum(sum(n7,n7),sum(n5,succ(sk0_20)))
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f23,f4879]) ).
fof(f4881,plain,
( sk0_0 = sum(n3,sum(n5,succ(sk0_20)))
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f110,f4880]) ).
fof(f4882,plain,
( sk0_0 = sum(n3,sum(n5,succ(n8)))
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f250,f4881]) ).
fof(f4883,plain,
( sk0_0 = sum(n3,sum(n5,n9))
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f12,f4882]) ).
fof(f4884,plain,
( sk0_0 = sum(n3,n3)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f90,f4883]) ).
fof(f4885,plain,
( sk0_0 = n6
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f62,f4884]) ).
fof(f4891,plain,
( n6 != sk0_1
| ~ spl0_8
| ~ spl0_17
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4885,f295]) ).
fof(f4896,plain,
( sk0_1 = sum(sum(pred(n8),succ(sk0_20)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f250,f3271]) ).
fof(f4897,plain,
( sk0_1 = sum(sum(n7,succ(sk0_20)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f23,f4896]) ).
fof(f4898,plain,
( sk0_1 = sum(sum(n7,succ(n8)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f250,f4897]) ).
fof(f4899,plain,
( sk0_1 = sum(sum(n7,n9),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f12,f4898]) ).
fof(f4900,plain,
( sk0_1 = sum(n5,n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f112,f4899]) ).
fof(f4901,plain,
( sk0_1 = n6
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f82,f4900]) ).
fof(f4912,plain,
( n6 != n6
| ~ spl0_8
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4901,f4891]) ).
fof(f4913,plain,
( $false
| ~ spl0_8
| ~ spl0_17
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4912]) ).
fof(f4914,plain,
( ~ spl0_8
| ~ spl0_17
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4913]) ).
fof(f4922,plain,
( sk0_1 = sum(n5,sum(pred(n7),succ(sk0_21)))
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f281,f4865]) ).
fof(f4923,plain,
( sk0_1 = sum(n5,sum(n6,succ(sk0_21)))
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f22,f4922]) ).
fof(f4924,plain,
( sk0_1 = sum(n5,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f281,f4923]) ).
fof(f4925,plain,
( sk0_1 = sum(n5,sum(n6,n8))
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f11,f4924]) ).
fof(f4926,plain,
( sk0_1 = sum(n5,n3)
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f100,f4925]) ).
fof(f4927,plain,
( sk0_1 = n8
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f84,f4926]) ).
fof(f4932,plain,
( sk0_0 = sum(sum(n7,succ(n7)),sum(pred(sk0_21),n9))
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f281,f4869]) ).
fof(f4933,plain,
( sk0_0 = sum(sum(n7,n8),sum(pred(sk0_21),n9))
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f11,f4932]) ).
fof(f4934,plain,
( sk0_0 = sum(n4,sum(pred(sk0_21),n9))
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f111,f4933]) ).
fof(f4935,plain,
( sk0_0 = sum(n4,sum(pred(n7),n9))
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f281,f4934]) ).
fof(f4936,plain,
( sk0_0 = sum(n4,sum(n6,n9))
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f22,f4935]) ).
fof(f4937,plain,
( sk0_0 = sum(n4,n4)
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f101,f4936]) ).
fof(f4938,plain,
( sk0_0 = n8
| ~ spl0_18
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f74,f4937]) ).
fof(f4941,plain,
( n8 != sk0_1
| ~ spl0_18
| ~ spl0_8
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4938,f295]) ).
fof(f4942,plain,
( n8 != n8
| ~ spl0_18
| ~ spl0_8
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f4927,f4941]) ).
fof(f4943,plain,
( $false
| ~ spl0_18
| ~ spl0_8
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f4942]) ).
fof(f4944,plain,
( ~ spl0_18
| ~ spl0_8
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4943]) ).
fof(f4951,plain,
( sk0_0 = sum(sum(n7,succ(n9)),sum(pred(sk0_21),n9))
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f287,f4869]) ).
fof(f4952,plain,
( sk0_0 = sum(sum(n7,n10),sum(pred(sk0_21),n9))
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f13,f4951]) ).
fof(f4953,plain,
( sk0_0 = sum(n6,sum(pred(sk0_21),n9))
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f113,f4952]) ).
fof(f4954,plain,
( sk0_0 = sum(n6,sum(pred(n9),n9))
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f287,f4953]) ).
fof(f4955,plain,
( sk0_0 = sum(n6,sum(n8,n9))
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f24,f4954]) ).
fof(f4956,plain,
( sk0_0 = sum(n6,n6)
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f123,f4955]) ).
fof(f4957,plain,
( sk0_0 = n1
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f98,f4956]) ).
fof(f4963,plain,
( n1 != sk0_1
| ~ spl0_20
| ~ spl0_8
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4957,f295]) ).
fof(f4971,plain,
( sk0_1 = sum(n5,sum(pred(n9),succ(sk0_21)))
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f287,f4865]) ).
fof(f4972,plain,
( sk0_1 = sum(n5,sum(n8,succ(sk0_21)))
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f24,f4971]) ).
fof(f4973,plain,
( sk0_1 = sum(n5,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f287,f4972]) ).
fof(f4974,plain,
( sk0_1 = sum(n5,sum(n8,n10))
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f13,f4973]) ).
fof(f4975,plain,
( sk0_1 = sum(n5,n7)
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f124,f4974]) ).
fof(f4976,plain,
( sk0_1 = n1
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f88,f4975]) ).
fof(f4977,plain,
( $false
| spl0_22
| ~ spl0_20
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f4976,f4963]) ).
fof(f4978,plain,
( spl0_22
| ~ spl0_20
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f4977]) ).
fof(f4988,plain,
( sk0_1 = sum(n5,sum(pred(n10),succ(sk0_21)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f290,f4865]) ).
fof(f4989,plain,
( sk0_1 = sum(n5,sum(n9,succ(sk0_21)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f4988]) ).
fof(f4990,plain,
( sk0_1 = sum(n5,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f290,f4989]) ).
fof(f4991,plain,
( sk0_1 = sum(n5,sum(n9,n0))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f14,f4990]) ).
fof(f4992,plain,
( sk0_1 = sum(n5,n9)
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f125,f4991]) ).
fof(f4993,plain,
( sk0_1 = n3
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f90,f4992]) ).
fof(f4994,plain,
( sk0_0 != n3
| ~ spl0_21
| ~ spl0_8
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f4993,f295]) ).
fof(f4999,plain,
( sk0_0 = sum(sum(n7,succ(n10)),sum(pred(sk0_21),n9))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f290,f4869]) ).
fof(f5000,plain,
( sk0_0 = sum(sum(n7,n0),sum(pred(sk0_21),n9))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f14,f4999]) ).
fof(f5001,plain,
( sk0_0 = sum(n7,sum(pred(sk0_21),n9))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f103,f5000]) ).
fof(f5002,plain,
( sk0_0 = sum(n7,sum(pred(n10),n9))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f290,f5001]) ).
fof(f5003,plain,
( sk0_0 = sum(n7,sum(n9,n9))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f5002]) ).
fof(f5004,plain,
( sk0_0 = sum(n7,n7)
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f134,f5003]) ).
fof(f5005,plain,
( sk0_0 = n3
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f110,f5004]) ).
fof(f5006,plain,
( $false
| spl0_22
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f5005,f4994]) ).
fof(f5007,plain,
( spl0_22
| ~ spl0_21
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f5006]) ).
fof(f5018,plain,
( sk0_0 = sum(sum(n7,succ(sk0_21)),sum(pred(n8),n9))
| ~ spl0_19
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f284,f4869]) ).
fof(f5019,plain,
( sk0_0 = sum(sum(n7,succ(n8)),sum(pred(n8),n9))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f284,f5018]) ).
fof(f5020,plain,
( sk0_0 = sum(sum(n7,n9),sum(pred(n8),n9))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f12,f5019]) ).
fof(f5021,plain,
( sk0_0 = sum(n5,sum(pred(n8),n9))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f112,f5020]) ).
fof(f5022,plain,
( sk0_0 = sum(n5,sum(n7,n9))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f23,f5021]) ).
fof(f5023,plain,
( sk0_0 = sum(n5,n5)
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f112,f5022]) ).
fof(f5024,plain,
( sk0_0 = n10
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f86,f5023]) ).
fof(f5025,plain,
( n10 != sk0_1
| ~ spl0_19
| ~ spl0_8
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5024,f295]) ).
fof(f5035,plain,
( sk0_1 = sum(n5,sum(pred(n8),succ(sk0_21)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f284,f4865]) ).
fof(f5036,plain,
( sk0_1 = sum(n5,sum(n7,succ(sk0_21)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f23,f5035]) ).
fof(f5037,plain,
( sk0_1 = sum(n5,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f284,f5036]) ).
fof(f5038,plain,
( sk0_1 = sum(n5,sum(n7,n9))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f12,f5037]) ).
fof(f5039,plain,
( sk0_1 = sum(n5,n5)
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f112,f5038]) ).
fof(f5040,plain,
( sk0_1 = n10
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f86,f5039]) ).
fof(f5041,plain,
( $false
| spl0_22
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f5040,f5025]) ).
fof(f5042,plain,
( spl0_22
| ~ spl0_19
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f5041]) ).
fof(f5043,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n3)))
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f235,f149]) ).
fof(f5044,plain,
( sk0_0 = sum(sum(pred(n3),succ(sk0_21)),sum(pred(sk0_21),succ(n3)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f235,f5043]) ).
fof(f5045,plain,
( sk0_0 = sum(sum(n2,succ(sk0_21)),sum(pred(sk0_21),succ(n3)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f18,f5044]) ).
fof(f5046,plain,
( sk0_0 = sum(sum(n2,succ(sk0_21)),sum(pred(sk0_21),n4))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f7,f5045]) ).
fof(f5047,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n3)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f235,f150]) ).
fof(f5048,plain,
( sk0_1 = sum(sum(pred(n3),succ(n3)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f235,f5047]) ).
fof(f5049,plain,
( sk0_1 = sum(sum(n2,succ(n3)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f18,f5048]) ).
fof(f5050,plain,
( sk0_1 = sum(sum(n2,n4),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f7,f5049]) ).
fof(f5051,plain,
( sk0_1 = sum(n6,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f52,f5050]) ).
fof(f5072,plain,
( sk0_1 = sum(n6,sum(pred(n9),succ(sk0_21)))
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f287,f5051]) ).
fof(f5073,plain,
( sk0_1 = sum(n6,sum(n8,succ(sk0_21)))
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f24,f5072]) ).
fof(f5074,plain,
( sk0_1 = sum(n6,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f287,f5073]) ).
fof(f5075,plain,
( sk0_1 = sum(n6,sum(n8,n10))
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f13,f5074]) ).
fof(f5076,plain,
( sk0_1 = sum(n6,n7)
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f124,f5075]) ).
fof(f5077,plain,
( sk0_1 = n2
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f99,f5076]) ).
fof(f5083,plain,
( sk0_0 != n2
| ~ spl0_20
| ~ spl0_3
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5077,f295]) ).
fof(f5088,plain,
( sk0_0 = sum(sum(n2,succ(n9)),sum(pred(sk0_21),n4))
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f287,f5046]) ).
fof(f5089,plain,
( sk0_0 = sum(sum(n2,n10),sum(pred(sk0_21),n4))
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f13,f5088]) ).
fof(f5090,plain,
( sk0_0 = sum(n1,sum(pred(sk0_21),n4))
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f58,f5089]) ).
fof(f5091,plain,
( sk0_0 = sum(n1,sum(pred(n9),n4))
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f287,f5090]) ).
fof(f5092,plain,
( sk0_0 = sum(n1,sum(n8,n4))
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f24,f5091]) ).
fof(f5093,plain,
( sk0_0 = sum(n1,n1)
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f118,f5092]) ).
fof(f5094,plain,
( sk0_0 = n2
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f38,f5093]) ).
fof(f5095,plain,
( $false
| spl0_22
| ~ spl0_20
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f5094,f5083]) ).
fof(f5096,plain,
( spl0_22
| ~ spl0_20
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f5095]) ).
fof(f5105,plain,
( sk0_0 = sum(sum(n2,succ(n10)),sum(pred(sk0_21),n4))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f290,f5046]) ).
fof(f5106,plain,
( sk0_0 = sum(sum(n2,n0),sum(pred(sk0_21),n4))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f14,f5105]) ).
fof(f5107,plain,
( sk0_0 = sum(n2,sum(pred(sk0_21),n4))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f48,f5106]) ).
fof(f5108,plain,
( sk0_0 = sum(n2,sum(pred(n10),n4))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f290,f5107]) ).
fof(f5109,plain,
( sk0_0 = sum(n2,sum(n9,n4))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f25,f5108]) ).
fof(f5110,plain,
( sk0_0 = sum(n2,n2)
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f129,f5109]) ).
fof(f5111,plain,
( sk0_0 = n4
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f50,f5110]) ).
fof(f5112,plain,
( n4 != sk0_1
| ~ spl0_21
| ~ spl0_3
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5111,f295]) ).
fof(f5122,plain,
( sk0_1 = sum(n6,sum(pred(n10),succ(sk0_21)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f290,f5051]) ).
fof(f5123,plain,
( sk0_1 = sum(n6,sum(n9,succ(sk0_21)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f25,f5122]) ).
fof(f5124,plain,
( sk0_1 = sum(n6,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f290,f5123]) ).
fof(f5125,plain,
( sk0_1 = sum(n6,sum(n9,n0))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f14,f5124]) ).
fof(f5126,plain,
( sk0_1 = sum(n6,n9)
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f125,f5125]) ).
fof(f5127,plain,
( sk0_1 = n4
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f101,f5126]) ).
fof(f5135,plain,
( n4 != n4
| ~ spl0_21
| ~ spl0_3
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5127,f5112]) ).
fof(f5136,plain,
( $false
| ~ spl0_21
| ~ spl0_3
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5135]) ).
fof(f5137,plain,
( ~ spl0_21
| ~ spl0_3
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5136]) ).
fof(f5148,plain,
( sk0_1 = sum(n6,sum(pred(n7),succ(sk0_21)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f281,f5051]) ).
fof(f5149,plain,
( sk0_1 = sum(n6,sum(n6,succ(sk0_21)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f22,f5148]) ).
fof(f5150,plain,
( sk0_1 = sum(n6,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f281,f5149]) ).
fof(f5151,plain,
( sk0_1 = sum(n6,sum(n6,n8))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f11,f5150]) ).
fof(f5152,plain,
( sk0_1 = sum(n6,n3)
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f100,f5151]) ).
fof(f5153,plain,
( sk0_1 = n9
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f95,f5152]) ).
fof(f5154,plain,
( sk0_0 != n9
| ~ spl0_18
| ~ spl0_3
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5153,f295]) ).
fof(f5159,plain,
( sk0_0 = sum(sum(n2,succ(n7)),sum(pred(sk0_21),n4))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f281,f5046]) ).
fof(f5160,plain,
( sk0_0 = sum(sum(n2,n8),sum(pred(sk0_21),n4))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f11,f5159]) ).
fof(f5161,plain,
( sk0_0 = sum(n10,sum(pred(sk0_21),n4))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f56,f5160]) ).
fof(f5162,plain,
( sk0_0 = sum(n10,sum(pred(n7),n4))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f281,f5161]) ).
fof(f5163,plain,
( sk0_0 = sum(n10,sum(n6,n4))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f22,f5162]) ).
fof(f5164,plain,
( sk0_0 = sum(n10,n10)
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f96,f5163]) ).
fof(f5165,plain,
( sk0_0 = n9
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f146,f5164]) ).
fof(f5166,plain,
( $false
| spl0_22
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f5165,f5154]) ).
fof(f5167,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f5166]) ).
fof(f5168,plain,
( sk0_1 = sum(sum(pred(n3),succ(sk0_20)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f235,f3271]) ).
fof(f5169,plain,
( sk0_1 = sum(sum(n2,succ(sk0_20)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f18,f5168]) ).
fof(f5170,plain,
( sk0_1 = sum(sum(n2,succ(n3)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f235,f5169]) ).
fof(f5171,plain,
( sk0_1 = sum(sum(n2,n4),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f7,f5170]) ).
fof(f5172,plain,
( sk0_1 = sum(n6,n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f52,f5171]) ).
fof(f5173,plain,
( sk0_1 = n7
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f93,f5172]) ).
fof(f5174,plain,
( sk0_0 = sum(sum(pred(n3),n7),sum(n5,succ(sk0_20)))
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f235,f3275]) ).
fof(f5175,plain,
( sk0_0 = sum(sum(n2,n7),sum(n5,succ(sk0_20)))
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f18,f5174]) ).
fof(f5176,plain,
( sk0_0 = sum(n9,sum(n5,succ(sk0_20)))
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f55,f5175]) ).
fof(f5177,plain,
( sk0_0 = sum(n9,sum(n5,succ(n3)))
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f235,f5176]) ).
fof(f5178,plain,
( sk0_0 = sum(n9,sum(n5,n4))
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f7,f5177]) ).
fof(f5179,plain,
( sk0_0 = sum(n9,n9)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f85,f5178]) ).
fof(f5180,plain,
( sk0_0 = n7
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f134,f5179]) ).
fof(f5203,plain,
( n7 != sk0_1
| ~ spl0_3
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5180,f295]) ).
fof(f5204,plain,
( n7 != n7
| ~ spl0_3
| ~ spl0_17
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5173,f5203]) ).
fof(f5205,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5204]) ).
fof(f5206,plain,
( ~ spl0_3
| ~ spl0_17
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5205]) ).
fof(f5212,plain,
( sk0_1 = sum(n6,sum(pred(sk0_21),succ(n8)))
| ~ spl0_19
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f284,f5051]) ).
fof(f5213,plain,
( sk0_1 = sum(n6,sum(pred(n8),succ(n8)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f284,f5212]) ).
fof(f5214,plain,
( sk0_1 = sum(n6,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f23,f5213]) ).
fof(f5215,plain,
( sk0_1 = sum(n6,sum(n7,n9))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f12,f5214]) ).
fof(f5216,plain,
( sk0_1 = sum(n6,n5)
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f112,f5215]) ).
fof(f5217,plain,
( sk0_1 = n0
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f97,f5216]) ).
fof(f5223,plain,
( sk0_0 != n0
| ~ spl0_19
| ~ spl0_3
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5217,f295]) ).
fof(f5228,plain,
( sk0_0 = sum(sum(n2,succ(n8)),sum(pred(sk0_21),n4))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f284,f5046]) ).
fof(f5229,plain,
( sk0_0 = sum(sum(n2,n9),sum(pred(sk0_21),n4))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f12,f5228]) ).
fof(f5230,plain,
( sk0_0 = sum(n0,sum(pred(sk0_21),n4))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f57,f5229]) ).
fof(f5231,plain,
( sk0_0 = sum(n0,sum(pred(n8),n4))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f284,f5230]) ).
fof(f5232,plain,
( sk0_0 = sum(n0,sum(n7,n4))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f23,f5231]) ).
fof(f5233,plain,
( sk0_0 = sum(n0,n0)
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f107,f5232]) ).
fof(f5234,plain,
( sk0_0 = n0
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f26,f5233]) ).
fof(f5235,plain,
( $false
| spl0_22
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f5234,f5223]) ).
fof(f5236,plain,
( spl0_22
| ~ spl0_19
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f5235]) ).
fof(f5237,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f247,f150]) ).
fof(f5238,plain,
( sk0_1 = sum(sum(pred(n7),succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f5237]) ).
fof(f5239,plain,
( sk0_1 = sum(sum(n6,succ(n7)),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f5238]) ).
fof(f5240,plain,
( sk0_1 = sum(sum(n6,n8),sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f5239]) ).
fof(f5241,plain,
( sk0_1 = sum(n3,sum(pred(sk0_21),succ(sk0_21)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f5240]) ).
fof(f5242,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f247,f149]) ).
fof(f5243,plain,
( sk0_0 = sum(sum(pred(n7),succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f247,f5242]) ).
fof(f5244,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(sk0_21),succ(n7)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f5243]) ).
fof(f5245,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(sk0_21),n8))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f5244]) ).
fof(f5255,plain,
( sk0_0 = sum(sum(n6,succ(n6)),sum(pred(sk0_21),n8))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f278,f825]) ).
fof(f5256,plain,
( sk0_0 = sum(sum(n6,n7),sum(pred(sk0_21),n8))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f10,f5255]) ).
fof(f5257,plain,
( sk0_0 = sum(n2,sum(pred(sk0_21),n8))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f99,f5256]) ).
fof(f5258,plain,
( sk0_0 = sum(n2,sum(pred(n6),n8))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f278,f5257]) ).
fof(f5259,plain,
( sk0_0 = sum(n2,sum(n5,n8))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f21,f5258]) ).
fof(f5260,plain,
( sk0_0 = sum(n2,n2)
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f89,f5259]) ).
fof(f5261,plain,
( sk0_0 = n4
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f50,f5260]) ).
fof(f5267,plain,
( n4 != sk0_1
| ~ spl0_17
| ~ spl0_7
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5261,f295]) ).
fof(f5296,plain,
( sk0_1 = sum(n3,sum(pred(n6),succ(sk0_21)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f278,f972]) ).
fof(f5297,plain,
( sk0_1 = sum(n3,sum(n5,succ(sk0_21)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f21,f5296]) ).
fof(f5298,plain,
( sk0_1 = sum(n3,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f278,f5297]) ).
fof(f5299,plain,
( sk0_1 = sum(n3,sum(n5,n7))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f10,f5298]) ).
fof(f5300,plain,
( sk0_1 = sum(n3,n1)
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f88,f5299]) ).
fof(f5301,plain,
( sk0_1 = n4
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f60,f5300]) ).
fof(f5302,plain,
( $false
| spl0_22
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f5301,f5267]) ).
fof(f5303,plain,
( spl0_22
| ~ spl0_17
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f5302]) ).
fof(f5443,plain,
( n6 != sk0_1
| ~ spl0_18
| ~ spl0_7
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f1416,f295]) ).
fof(f5444,plain,
( n6 != n6
| ~ spl0_18
| ~ spl0_7
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f1379,f5443]) ).
fof(f5445,plain,
( $false
| ~ spl0_18
| ~ spl0_7
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5444]) ).
fof(f5446,plain,
( ~ spl0_18
| ~ spl0_7
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5445]) ).
fof(f5455,plain,
( sk0_1 = sum(n3,sum(pred(n10),succ(sk0_21)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f290,f972]) ).
fof(f5456,plain,
( sk0_1 = sum(n3,sum(n9,succ(sk0_21)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f25,f5455]) ).
fof(f5457,plain,
( sk0_1 = sum(n3,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f290,f5456]) ).
fof(f5458,plain,
( sk0_1 = sum(n3,sum(n9,n0))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f14,f5457]) ).
fof(f5459,plain,
( sk0_1 = sum(n3,n9)
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f125,f5458]) ).
fof(f5460,plain,
( sk0_1 = n1
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f68,f5459]) ).
fof(f5461,plain,
( sk0_0 != n1
| ~ spl0_21
| ~ spl0_7
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5460,f295]) ).
fof(f5466,plain,
( sk0_0 = sum(sum(n6,succ(n10)),sum(pred(sk0_21),n8))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f290,f976]) ).
fof(f5467,plain,
( sk0_0 = sum(sum(n6,n0),sum(pred(sk0_21),n8))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f14,f5466]) ).
fof(f5468,plain,
( sk0_0 = sum(n6,sum(pred(sk0_21),n8))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f92,f5467]) ).
fof(f5469,plain,
( sk0_0 = sum(n6,sum(pred(n10),n8))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f290,f5468]) ).
fof(f5470,plain,
( sk0_0 = sum(n6,sum(n9,n8))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f25,f5469]) ).
fof(f5471,plain,
( sk0_0 = sum(n6,n6)
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f133,f5470]) ).
fof(f5472,plain,
( sk0_0 = n1
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f98,f5471]) ).
fof(f5493,plain,
( n1 != n1
| ~ spl0_21
| ~ spl0_7
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5472,f5461]) ).
fof(f5494,plain,
( $false
| ~ spl0_21
| ~ spl0_7
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5493]) ).
fof(f5495,plain,
( ~ spl0_21
| ~ spl0_7
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5494]) ).
fof(f5505,plain,
( sk0_1 = sum(n3,sum(pred(n9),succ(sk0_21)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f287,f5241]) ).
fof(f5506,plain,
( sk0_1 = sum(n3,sum(n8,succ(sk0_21)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f24,f5505]) ).
fof(f5507,plain,
( sk0_1 = sum(n3,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f287,f5506]) ).
fof(f5508,plain,
( sk0_1 = sum(n3,sum(n8,n10))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f13,f5507]) ).
fof(f5509,plain,
( sk0_1 = sum(n3,n7)
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f124,f5508]) ).
fof(f5510,plain,
( sk0_1 = n10
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f66,f5509]) ).
fof(f5511,plain,
( sk0_0 != n10
| ~ spl0_20
| ~ spl0_7
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5510,f295]) ).
fof(f5534,plain,
( sk0_0 = sum(sum(n6,succ(n9)),sum(pred(sk0_21),n8))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f287,f825]) ).
fof(f5535,plain,
( sk0_0 = sum(sum(n6,n10),sum(pred(sk0_21),n8))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f13,f5534]) ).
fof(f5536,plain,
( sk0_0 = sum(n5,sum(pred(sk0_21),n8))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f102,f5535]) ).
fof(f5537,plain,
( sk0_0 = sum(n5,sum(pred(n9),n8))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f287,f5536]) ).
fof(f5538,plain,
( sk0_0 = sum(n5,sum(n8,n8))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f24,f5537]) ).
fof(f5539,plain,
( sk0_0 = sum(n5,n5)
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f122,f5538]) ).
fof(f5540,plain,
( sk0_0 = n10
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f86,f5539]) ).
fof(f5541,plain,
( $false
| spl0_22
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f5540,f5511]) ).
fof(f5542,plain,
( spl0_22
| ~ spl0_20
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f5541]) ).
fof(f5553,plain,
( sk0_0 = sum(sum(n6,succ(sk0_21)),sum(pred(n8),n8))
| ~ spl0_19
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f284,f5245]) ).
fof(f5554,plain,
( sk0_0 = sum(sum(n6,succ(n8)),sum(pred(n8),n8))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f284,f5553]) ).
fof(f5555,plain,
( sk0_0 = sum(sum(n6,n9),sum(pred(n8),n8))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f12,f5554]) ).
fof(f5556,plain,
( sk0_0 = sum(n4,sum(pred(n8),n8))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f101,f5555]) ).
fof(f5557,plain,
( sk0_0 = sum(n4,sum(n7,n8))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f23,f5556]) ).
fof(f5558,plain,
( sk0_0 = sum(n4,n4)
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f111,f5557]) ).
fof(f5559,plain,
( sk0_0 = n8
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f74,f5558]) ).
fof(f5560,plain,
( n8 != sk0_1
| ~ spl0_19
| ~ spl0_7
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5559,f295]) ).
fof(f5565,plain,
( sk0_1 = sum(n3,sum(pred(n8),succ(sk0_21)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f284,f972]) ).
fof(f5566,plain,
( sk0_1 = sum(n3,sum(n7,succ(sk0_21)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f23,f5565]) ).
fof(f5567,plain,
( sk0_1 = sum(n3,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f284,f5566]) ).
fof(f5568,plain,
( sk0_1 = sum(n3,sum(n7,n9))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f12,f5567]) ).
fof(f5569,plain,
( sk0_1 = sum(n3,n5)
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f112,f5568]) ).
fof(f5570,plain,
( sk0_1 = n8
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f64,f5569]) ).
fof(f5571,plain,
( $false
| spl0_22
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f5570,f5560]) ).
fof(f5572,plain,
( spl0_22
| ~ spl0_19
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f5571]) ).
fof(f5602,plain,
( sk0_1 = sum(n4,sum(pred(n5),succ(sk0_21)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f275,f3784]) ).
fof(f5603,plain,
( sk0_1 = sum(n4,sum(n4,succ(sk0_21)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f20,f5602]) ).
fof(f5604,plain,
( sk0_1 = sum(n4,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f275,f5603]) ).
fof(f5605,plain,
( sk0_1 = sum(n4,sum(n4,n6))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f9,f5604]) ).
fof(f5606,plain,
( sk0_1 = sum(n4,n10)
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f76,f5605]) ).
fof(f5607,plain,
( sk0_1 = n3
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f80,f5606]) ).
fof(f5608,plain,
( sk0_0 != n3
| ~ spl0_16
| ~ spl0_2
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5607,f295]) ).
fof(f5619,plain,
( sk0_0 = sum(sum(n1,succ(n5)),sum(pred(sk0_21),n3))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f275,f3796]) ).
fof(f5620,plain,
( sk0_0 = sum(sum(n1,n6),sum(pred(sk0_21),n3))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f9,f5619]) ).
fof(f5621,plain,
( sk0_0 = sum(n7,sum(pred(sk0_21),n3))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f43,f5620]) ).
fof(f5622,plain,
( sk0_0 = sum(n7,sum(pred(n5),n3))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f275,f5621]) ).
fof(f5623,plain,
( sk0_0 = sum(n7,sum(n4,n3))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f20,f5622]) ).
fof(f5624,plain,
( sk0_0 = sum(n7,n7)
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f73,f5623]) ).
fof(f5625,plain,
( sk0_0 = n3
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f110,f5624]) ).
fof(f5626,plain,
( $false
| spl0_22
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f5625,f5608]) ).
fof(f5627,plain,
( spl0_22
| ~ spl0_16
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f5626]) ).
fof(f5628,plain,
( sk0_1 = sum(n9,sum(pred(n5),succ(sk0_21)))
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f275,f369]) ).
fof(f5629,plain,
( sk0_1 = sum(n9,sum(n4,succ(sk0_21)))
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f20,f5628]) ).
fof(f5630,plain,
( sk0_1 = sum(n9,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f275,f5629]) ).
fof(f5631,plain,
( sk0_1 = sum(n9,sum(n4,n6))
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f9,f5630]) ).
fof(f5632,plain,
( sk0_1 = sum(n9,n10)
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f76,f5631]) ).
fof(f5633,plain,
( sk0_1 = n8
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f135,f5632]) ).
fof(f5640,plain,
( sk0_0 = sum(sum(n9,succ(n5)),sum(pred(sk0_21),n0))
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f275,f4015]) ).
fof(f5641,plain,
( sk0_0 = sum(sum(n9,n6),sum(pred(sk0_21),n0))
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f9,f5640]) ).
fof(f5642,plain,
( sk0_0 = sum(n4,sum(pred(sk0_21),n0))
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f131,f5641]) ).
fof(f5643,plain,
( sk0_0 = sum(n4,sum(pred(n5),n0))
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f275,f5642]) ).
fof(f5644,plain,
( sk0_0 = sum(n4,sum(n4,n0))
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f20,f5643]) ).
fof(f5645,plain,
( sk0_0 = sum(n4,n4)
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f70,f5644]) ).
fof(f5646,plain,
( sk0_0 = n8
| ~ spl0_16
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f74,f5645]) ).
fof(f5687,plain,
( n8 != sk0_1
| ~ spl0_16
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5646,f295]) ).
fof(f5688,plain,
( n8 != n8
| ~ spl0_16
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5633,f5687]) ).
fof(f5689,plain,
( $false
| ~ spl0_16
| ~ spl0_10
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5688]) ).
fof(f5690,plain,
( ~ spl0_16
| ~ spl0_10
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5689]) ).
fof(f5691,plain,
( sk0_1 = sum(n8,sum(pred(n5),succ(sk0_21)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f275,f4130]) ).
fof(f5692,plain,
( sk0_1 = sum(n8,sum(n4,succ(sk0_21)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f20,f5691]) ).
fof(f5693,plain,
( sk0_1 = sum(n8,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f275,f5692]) ).
fof(f5694,plain,
( sk0_1 = sum(n8,sum(n4,n6))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f9,f5693]) ).
fof(f5695,plain,
( sk0_1 = sum(n8,n10)
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f76,f5694]) ).
fof(f5696,plain,
( sk0_1 = n7
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f124,f5695]) ).
fof(f5697,plain,
( sk0_0 = sum(sum(n3,succ(n5)),sum(pred(sk0_21),n5))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f275,f4134]) ).
fof(f5698,plain,
( sk0_0 = sum(sum(n3,n6),sum(pred(sk0_21),n5))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f9,f5697]) ).
fof(f5699,plain,
( sk0_0 = sum(n9,sum(pred(sk0_21),n5))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f65,f5698]) ).
fof(f5700,plain,
( sk0_0 = sum(n9,sum(pred(n5),n5))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f275,f5699]) ).
fof(f5701,plain,
( sk0_0 = sum(n9,sum(n4,n5))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f20,f5700]) ).
fof(f5702,plain,
( sk0_0 = sum(n9,n9)
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f75,f5701]) ).
fof(f5703,plain,
( sk0_0 = n7
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f134,f5702]) ).
fof(f5716,plain,
( n7 != sk0_1
| ~ spl0_16
| ~ spl0_4
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5703,f295]) ).
fof(f5717,plain,
( n7 != n7
| ~ spl0_16
| ~ spl0_4
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5696,f5716]) ).
fof(f5718,plain,
( $false
| ~ spl0_16
| ~ spl0_4
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5717]) ).
fof(f5719,plain,
( ~ spl0_16
| ~ spl0_4
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5718]) ).
fof(f5720,plain,
( sk0_1 = sum(n1,sum(pred(n5),succ(sk0_21)))
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f275,f4305]) ).
fof(f5721,plain,
( sk0_1 = sum(n1,sum(n4,succ(sk0_21)))
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f20,f5720]) ).
fof(f5722,plain,
( sk0_1 = sum(n1,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f275,f5721]) ).
fof(f5723,plain,
( sk0_1 = sum(n1,sum(n4,n6))
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f9,f5722]) ).
fof(f5724,plain,
( sk0_1 = sum(n1,n10)
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f76,f5723]) ).
fof(f5725,plain,
( sk0_1 = n0
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f47,f5724]) ).
fof(f5726,plain,
( sk0_0 = sum(sum(n5,succ(n5)),sum(pred(sk0_21),n7))
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f275,f4300]) ).
fof(f5727,plain,
( sk0_0 = sum(sum(n5,n6),sum(pred(sk0_21),n7))
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f9,f5726]) ).
fof(f5728,plain,
( sk0_0 = sum(n0,sum(pred(sk0_21),n7))
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f87,f5727]) ).
fof(f5729,plain,
( sk0_0 = sum(n0,sum(pred(n5),n7))
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f275,f5728]) ).
fof(f5730,plain,
( sk0_0 = sum(n0,sum(n4,n7))
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f20,f5729]) ).
fof(f5731,plain,
( sk0_0 = sum(n0,n0)
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f77,f5730]) ).
fof(f5732,plain,
( sk0_0 = n0
| ~ spl0_16
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f26,f5731]) ).
fof(f5738,plain,
( n0 != sk0_1
| ~ spl0_16
| ~ spl0_6
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5732,f295]) ).
fof(f5739,plain,
( n0 != n0
| ~ spl0_16
| ~ spl0_6
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5725,f5738]) ).
fof(f5740,plain,
( $false
| ~ spl0_16
| ~ spl0_6
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5739]) ).
fof(f5741,plain,
( ~ spl0_16
| ~ spl0_6
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5740]) ).
fof(f5742,plain,
( sk0_0 = sum(sum(n4,succ(n5)),sum(pred(sk0_21),n6))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f275,f4492]) ).
fof(f5743,plain,
( sk0_0 = sum(sum(n4,n6),sum(pred(sk0_21),n6))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f5742]) ).
fof(f5744,plain,
( sk0_0 = sum(n10,sum(pred(sk0_21),n6))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f76,f5743]) ).
fof(f5745,plain,
( sk0_0 = sum(n10,sum(pred(n5),n6))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f275,f5744]) ).
fof(f5746,plain,
( sk0_0 = sum(n10,sum(n4,n6))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f5745]) ).
fof(f5747,plain,
( sk0_0 = sum(n10,n10)
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f76,f5746]) ).
fof(f5748,plain,
( sk0_0 = n9
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f146,f5747]) ).
fof(f5749,plain,
( sk0_1 = sum(n10,sum(pred(n5),succ(sk0_21)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f275,f4488]) ).
fof(f5750,plain,
( sk0_1 = sum(n10,sum(n4,succ(sk0_21)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f5749]) ).
fof(f5751,plain,
( sk0_1 = sum(n10,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f275,f5750]) ).
fof(f5752,plain,
( sk0_1 = sum(n10,sum(n4,n6))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f5751]) ).
fof(f5753,plain,
( sk0_1 = sum(n10,n10)
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f76,f5752]) ).
fof(f5754,plain,
( sk0_1 = n9
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f146,f5753]) ).
fof(f5766,plain,
( n9 != sk0_1
| ~ spl0_16
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5748,f295]) ).
fof(f5767,plain,
( n9 != n9
| ~ spl0_16
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5754,f5766]) ).
fof(f5768,plain,
( $false
| ~ spl0_16
| ~ spl0_5
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5767]) ).
fof(f5769,plain,
( ~ spl0_16
| ~ spl0_5
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5768]) ).
fof(f5770,plain,
( sk0_0 = sum(sum(n2,succ(n5)),sum(pred(sk0_21),n4))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f275,f5046]) ).
fof(f5771,plain,
( sk0_0 = sum(sum(n2,n6),sum(pred(sk0_21),n4))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f9,f5770]) ).
fof(f5772,plain,
( sk0_0 = sum(n8,sum(pred(sk0_21),n4))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f54,f5771]) ).
fof(f5773,plain,
( sk0_0 = sum(n8,sum(pred(n5),n4))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f275,f5772]) ).
fof(f5774,plain,
( sk0_0 = sum(n8,sum(n4,n4))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f20,f5773]) ).
fof(f5775,plain,
( sk0_0 = sum(n8,n8)
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f74,f5774]) ).
fof(f5776,plain,
( sk0_0 = n5
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f122,f5775]) ).
fof(f5777,plain,
( sk0_1 = sum(n6,sum(pred(n5),succ(sk0_21)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f275,f5051]) ).
fof(f5778,plain,
( sk0_1 = sum(n6,sum(n4,succ(sk0_21)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f20,f5777]) ).
fof(f5779,plain,
( sk0_1 = sum(n6,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f275,f5778]) ).
fof(f5780,plain,
( sk0_1 = sum(n6,sum(n4,n6))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f9,f5779]) ).
fof(f5781,plain,
( sk0_1 = sum(n6,n10)
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f76,f5780]) ).
fof(f5782,plain,
( sk0_1 = n5
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f102,f5781]) ).
fof(f5805,plain,
( n5 != sk0_1
| ~ spl0_16
| ~ spl0_3
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5776,f295]) ).
fof(f5810,plain,
( n5 != n5
| ~ spl0_16
| ~ spl0_3
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5782,f5805]) ).
fof(f5811,plain,
( $false
| ~ spl0_16
| ~ spl0_3
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5810]) ).
fof(f5812,plain,
( ~ spl0_16
| ~ spl0_3
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5811]) ).
fof(f5813,plain,
( sk0_0 = sum(sum(n10,succ(n5)),sum(pred(sk0_21),n1))
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f275,f3108]) ).
fof(f5814,plain,
( sk0_0 = sum(sum(n10,n6),sum(pred(sk0_21),n1))
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f5813]) ).
fof(f5815,plain,
( sk0_0 = sum(n5,sum(pred(sk0_21),n1))
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f142,f5814]) ).
fof(f5816,plain,
( sk0_0 = sum(n5,sum(pred(n5),n1))
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f275,f5815]) ).
fof(f5817,plain,
( sk0_0 = sum(n5,sum(n4,n1))
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f20,f5816]) ).
fof(f5818,plain,
( sk0_0 = sum(n5,n5)
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f71,f5817]) ).
fof(f5819,plain,
( sk0_0 = n10
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f86,f5818]) ).
fof(f5820,plain,
( sk0_1 = sum(n0,sum(pred(n5),succ(sk0_21)))
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f275,f3104]) ).
fof(f5821,plain,
( sk0_1 = sum(n0,sum(n4,succ(sk0_21)))
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f20,f5820]) ).
fof(f5822,plain,
( sk0_1 = sum(n0,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f275,f5821]) ).
fof(f5823,plain,
( sk0_1 = sum(n0,sum(n4,n6))
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f5822]) ).
fof(f5824,plain,
( sk0_1 = sum(n0,n10)
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f76,f5823]) ).
fof(f5825,plain,
( sk0_1 = n10
| ~ spl0_16
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f36,f5824]) ).
fof(f5854,plain,
( n10 != sk0_1
| ~ spl0_16
| ~ spl0_0
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5819,f295]) ).
fof(f5855,plain,
( n10 != n10
| ~ spl0_16
| ~ spl0_0
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5825,f5854]) ).
fof(f5856,plain,
( $false
| ~ spl0_16
| ~ spl0_0
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5855]) ).
fof(f5857,plain,
( ~ spl0_16
| ~ spl0_0
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5856]) ).
fof(f5858,plain,
( sk0_1 = sum(n5,sum(pred(n5),succ(sk0_21)))
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f275,f4865]) ).
fof(f5859,plain,
( sk0_1 = sum(n5,sum(n4,succ(sk0_21)))
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f20,f5858]) ).
fof(f5860,plain,
( sk0_1 = sum(n5,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f275,f5859]) ).
fof(f5861,plain,
( sk0_1 = sum(n5,sum(n4,n6))
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f9,f5860]) ).
fof(f5862,plain,
( sk0_1 = sum(n5,n10)
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f76,f5861]) ).
fof(f5863,plain,
( sk0_1 = n4
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f91,f5862]) ).
fof(f5864,plain,
( sk0_0 = sum(sum(n7,succ(n5)),sum(pred(sk0_21),n9))
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f275,f4869]) ).
fof(f5865,plain,
( sk0_0 = sum(sum(n7,n6),sum(pred(sk0_21),n9))
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f9,f5864]) ).
fof(f5866,plain,
( sk0_0 = sum(n2,sum(pred(sk0_21),n9))
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f109,f5865]) ).
fof(f5867,plain,
( sk0_0 = sum(n2,sum(pred(n5),n9))
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f275,f5866]) ).
fof(f5868,plain,
( sk0_0 = sum(n2,sum(n4,n9))
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f20,f5867]) ).
fof(f5869,plain,
( sk0_0 = sum(n2,n2)
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f79,f5868]) ).
fof(f5870,plain,
( sk0_0 = n4
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f50,f5869]) ).
fof(f5890,plain,
( n4 != sk0_1
| ~ spl0_16
| ~ spl0_8
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5870,f295]) ).
fof(f5891,plain,
( n4 != n4
| ~ spl0_16
| ~ spl0_8
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5863,f5890]) ).
fof(f5892,plain,
( $false
| ~ spl0_16
| ~ spl0_8
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5891]) ).
fof(f5893,plain,
( ~ spl0_16
| ~ spl0_8
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5892]) ).
fof(f5894,plain,
( sk0_0 = sum(sum(n0,succ(n5)),sum(pred(sk0_21),n2))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f275,f4676]) ).
fof(f5895,plain,
( sk0_0 = sum(sum(n0,n6),sum(pred(sk0_21),n2))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f9,f5894]) ).
fof(f5896,plain,
( sk0_0 = sum(n6,sum(pred(sk0_21),n2))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f32,f5895]) ).
fof(f5897,plain,
( sk0_0 = sum(n6,sum(pred(n5),n2))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f275,f5896]) ).
fof(f5898,plain,
( sk0_0 = sum(n6,sum(n4,n2))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f20,f5897]) ).
fof(f5899,plain,
( sk0_0 = sum(n6,n6)
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f72,f5898]) ).
fof(f5900,plain,
( sk0_0 = n1
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f98,f5899]) ).
fof(f5901,plain,
( sk0_1 = sum(n2,sum(pred(n5),succ(sk0_21)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f275,f4681]) ).
fof(f5902,plain,
( sk0_1 = sum(n2,sum(n4,succ(sk0_21)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f20,f5901]) ).
fof(f5903,plain,
( sk0_1 = sum(n2,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f275,f5902]) ).
fof(f5904,plain,
( sk0_1 = sum(n2,sum(n4,n6))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f9,f5903]) ).
fof(f5905,plain,
( sk0_1 = sum(n2,n10)
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f76,f5904]) ).
fof(f5906,plain,
( sk0_1 = n1
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f58,f5905]) ).
fof(f5912,plain,
( n1 != sk0_1
| ~ spl0_16
| ~ spl0_1
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5900,f295]) ).
fof(f5913,plain,
( n1 != n1
| ~ spl0_16
| ~ spl0_1
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5906,f5912]) ).
fof(f5914,plain,
( $false
| ~ spl0_16
| ~ spl0_1
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f5913]) ).
fof(f5915,plain,
( ~ spl0_16
| ~ spl0_1
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5914]) ).
fof(f5916,plain,
( sk0_0 = sum(sum(n8,succ(n5)),sum(pred(sk0_21),n10))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f275,f1061]) ).
fof(f5917,plain,
( sk0_0 = sum(sum(n8,n6),sum(pred(sk0_21),n10))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f9,f5916]) ).
fof(f5918,plain,
( sk0_0 = sum(n3,sum(pred(sk0_21),n10))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f120,f5917]) ).
fof(f5919,plain,
( sk0_0 = sum(n3,sum(pred(n5),n10))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f275,f5918]) ).
fof(f5920,plain,
( sk0_0 = sum(n3,sum(n4,n10))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f20,f5919]) ).
fof(f5921,plain,
( sk0_0 = sum(n3,n3)
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f80,f5920]) ).
fof(f5922,plain,
( sk0_0 = n6
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f62,f5921]) ).
fof(f5951,plain,
( sk0_1 = sum(n7,sum(pred(n5),succ(sk0_21)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f275,f3340]) ).
fof(f5952,plain,
( sk0_1 = sum(n7,sum(n4,succ(sk0_21)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f20,f5951]) ).
fof(f5953,plain,
( sk0_1 = sum(n7,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f275,f5952]) ).
fof(f5954,plain,
( sk0_1 = sum(n7,sum(n4,n6))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f9,f5953]) ).
fof(f5955,plain,
( sk0_1 = sum(n7,n10)
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f76,f5954]) ).
fof(f5956,plain,
( sk0_1 = n6
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f113,f5955]) ).
fof(f6009,plain,
( n6 != sk0_1
| ~ spl0_16
| ~ spl0_9
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f5922,f295]) ).
fof(f6014,plain,
( n6 != n6
| ~ spl0_16
| ~ spl0_9
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f5956,f6009]) ).
fof(f6015,plain,
( $false
| ~ spl0_16
| ~ spl0_9
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6014]) ).
fof(f6016,plain,
( ~ spl0_16
| ~ spl0_9
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6015]) ).
fof(f6017,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(pred(sk0_21),succ(n4)))
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f272,f150]) ).
fof(f6018,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(pred(n4),succ(n4)))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f272,f6017]) ).
fof(f6019,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(n3,succ(n4)))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f19,f6018]) ).
fof(f6020,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(n3,n5))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f8,f6019]) ).
fof(f6021,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),n8)
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f64,f6020]) ).
fof(f6022,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(n4),succ(sk0_20)))
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f272,f149]) ).
fof(f6023,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(n4)),sum(pred(n4),succ(sk0_20)))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f272,f6022]) ).
fof(f6024,plain,
( sk0_0 = sum(sum(pred(sk0_20),n5),sum(pred(n4),succ(sk0_20)))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f8,f6023]) ).
fof(f6025,plain,
( sk0_0 = sum(sum(pred(sk0_20),n5),sum(n3,succ(sk0_20)))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f19,f6024]) ).
fof(f6040,plain,
( sk0_0 = sum(sum(n6,succ(n4)),sum(pred(sk0_21),n8))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f272,f1355]) ).
fof(f6041,plain,
( sk0_0 = sum(sum(n6,n5),sum(pred(sk0_21),n8))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f8,f6040]) ).
fof(f6042,plain,
( sk0_0 = sum(n0,sum(pred(sk0_21),n8))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f97,f6041]) ).
fof(f6043,plain,
( sk0_0 = sum(n0,sum(pred(n4),n8))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f272,f6042]) ).
fof(f6044,plain,
( sk0_0 = sum(n0,sum(n3,n8))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f19,f6043]) ).
fof(f6045,plain,
( sk0_0 = sum(n0,n0)
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f67,f6044]) ).
fof(f6046,plain,
( sk0_0 = n0
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f26,f6045]) ).
fof(f6052,plain,
( n0 != sk0_1
| ~ spl0_15
| ~ spl0_7
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f6046,f295]) ).
fof(f6062,plain,
( sk0_1 = sum(n3,sum(pred(n4),succ(sk0_21)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f272,f668]) ).
fof(f6063,plain,
( sk0_1 = sum(n3,sum(n3,succ(sk0_21)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f19,f6062]) ).
fof(f6064,plain,
( sk0_1 = sum(n3,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f272,f6063]) ).
fof(f6065,plain,
( sk0_1 = sum(n3,sum(n3,n5))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f8,f6064]) ).
fof(f6066,plain,
( sk0_1 = sum(n3,n8)
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f64,f6065]) ).
fof(f6067,plain,
( sk0_1 = n0
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f67,f6066]) ).
fof(f6068,plain,
( $false
| spl0_22
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f6067,f6052]) ).
fof(f6069,plain,
( spl0_22
| ~ spl0_15
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f6068]) ).
fof(f6070,plain,
( sk0_0 = sum(sum(n7,succ(n4)),sum(pred(sk0_21),n9))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f272,f4869]) ).
fof(f6071,plain,
( sk0_0 = sum(sum(n7,n5),sum(pred(sk0_21),n9))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f8,f6070]) ).
fof(f6072,plain,
( sk0_0 = sum(n1,sum(pred(sk0_21),n9))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f108,f6071]) ).
fof(f6073,plain,
( sk0_0 = sum(n1,sum(pred(n4),n9))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f272,f6072]) ).
fof(f6074,plain,
( sk0_0 = sum(n1,sum(n3,n9))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f19,f6073]) ).
fof(f6075,plain,
( sk0_0 = sum(n1,n1)
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f68,f6074]) ).
fof(f6076,plain,
( sk0_0 = n2
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f38,f6075]) ).
fof(f6077,plain,
( sk0_1 = sum(n5,sum(pred(n4),succ(sk0_21)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f272,f4865]) ).
fof(f6078,plain,
( sk0_1 = sum(n5,sum(n3,succ(sk0_21)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f19,f6077]) ).
fof(f6079,plain,
( sk0_1 = sum(n5,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f272,f6078]) ).
fof(f6080,plain,
( sk0_1 = sum(n5,sum(n3,n5))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f8,f6079]) ).
fof(f6081,plain,
( sk0_1 = sum(n5,n8)
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f64,f6080]) ).
fof(f6082,plain,
( sk0_1 = n2
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f89,f6081]) ).
fof(f6092,plain,
( n2 != sk0_1
| ~ spl0_15
| ~ spl0_8
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6076,f295]) ).
fof(f6093,plain,
( n2 != n2
| ~ spl0_15
| ~ spl0_8
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6082,f6092]) ).
fof(f6094,plain,
( $false
| ~ spl0_15
| ~ spl0_8
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6093]) ).
fof(f6095,plain,
( ~ spl0_15
| ~ spl0_8
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6094]) ).
fof(f6096,plain,
( sk0_1 = sum(n2,sum(pred(n4),succ(sk0_21)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f272,f4681]) ).
fof(f6097,plain,
( sk0_1 = sum(n2,sum(n3,succ(sk0_21)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f19,f6096]) ).
fof(f6098,plain,
( sk0_1 = sum(n2,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f272,f6097]) ).
fof(f6099,plain,
( sk0_1 = sum(n2,sum(n3,n5))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f8,f6098]) ).
fof(f6100,plain,
( sk0_1 = sum(n2,n8)
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f64,f6099]) ).
fof(f6101,plain,
( sk0_1 = n10
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f56,f6100]) ).
fof(f6102,plain,
( sk0_0 = sum(sum(n0,succ(n4)),sum(pred(sk0_21),n2))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f272,f4676]) ).
fof(f6103,plain,
( sk0_0 = sum(sum(n0,n5),sum(pred(sk0_21),n2))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f8,f6102]) ).
fof(f6104,plain,
( sk0_0 = sum(n5,sum(pred(sk0_21),n2))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f31,f6103]) ).
fof(f6105,plain,
( sk0_0 = sum(n5,sum(pred(n4),n2))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f272,f6104]) ).
fof(f6106,plain,
( sk0_0 = sum(n5,sum(n3,n2))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f19,f6105]) ).
fof(f6107,plain,
( sk0_0 = sum(n5,n5)
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f61,f6106]) ).
fof(f6108,plain,
( sk0_0 = n10
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f86,f6107]) ).
fof(f6134,plain,
( n10 != sk0_1
| ~ spl0_15
| ~ spl0_1
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6108,f295]) ).
fof(f6135,plain,
( n10 != n10
| ~ spl0_15
| ~ spl0_1
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6101,f6134]) ).
fof(f6136,plain,
( $false
| ~ spl0_15
| ~ spl0_1
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6135]) ).
fof(f6137,plain,
( ~ spl0_15
| ~ spl0_1
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6136]) ).
fof(f6138,plain,
( sk0_1 = sum(n10,sum(pred(n4),succ(sk0_21)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f272,f4488]) ).
fof(f6139,plain,
( sk0_1 = sum(n10,sum(n3,succ(sk0_21)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f19,f6138]) ).
fof(f6140,plain,
( sk0_1 = sum(n10,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f272,f6139]) ).
fof(f6141,plain,
( sk0_1 = sum(n10,sum(n3,n5))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f8,f6140]) ).
fof(f6142,plain,
( sk0_1 = sum(n10,n8)
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f64,f6141]) ).
fof(f6143,plain,
( sk0_1 = n7
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f144,f6142]) ).
fof(f6144,plain,
( sk0_0 = sum(sum(n4,succ(n4)),sum(pred(sk0_21),n6))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f272,f4492]) ).
fof(f6145,plain,
( sk0_0 = sum(sum(n4,n5),sum(pred(sk0_21),n6))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f8,f6144]) ).
fof(f6146,plain,
( sk0_0 = sum(n9,sum(pred(sk0_21),n6))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f75,f6145]) ).
fof(f6147,plain,
( sk0_0 = sum(n9,sum(pred(n4),n6))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f272,f6146]) ).
fof(f6148,plain,
( sk0_0 = sum(n9,sum(n3,n6))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f19,f6147]) ).
fof(f6149,plain,
( sk0_0 = sum(n9,n9)
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f6148]) ).
fof(f6150,plain,
( sk0_0 = n7
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f134,f6149]) ).
fof(f6161,plain,
( n7 != sk0_1
| ~ spl0_15
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6150,f295]) ).
fof(f6162,plain,
( n7 != n7
| ~ spl0_15
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6143,f6161]) ).
fof(f6163,plain,
( $false
| ~ spl0_15
| ~ spl0_5
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6162]) ).
fof(f6164,plain,
( ~ spl0_15
| ~ spl0_5
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6163]) ).
fof(f6181,plain,
( sk0_0 = sum(sum(pred(n6),n5),sum(n3,succ(sk0_20)))
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f244,f6025]) ).
fof(f6182,plain,
( sk0_0 = sum(sum(n5,n5),sum(n3,succ(sk0_20)))
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f21,f6181]) ).
fof(f6183,plain,
( sk0_0 = sum(n10,sum(n3,succ(sk0_20)))
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f86,f6182]) ).
fof(f6184,plain,
( sk0_0 = sum(n10,sum(n3,succ(n6)))
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f244,f6183]) ).
fof(f6185,plain,
( sk0_0 = sum(n10,sum(n3,n7))
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f10,f6184]) ).
fof(f6186,plain,
( sk0_0 = sum(n10,n10)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f66,f6185]) ).
fof(f6187,plain,
( sk0_0 = n9
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f146,f6186]) ).
fof(f6197,plain,
( sk0_1 = sum(sum(pred(n6),succ(sk0_20)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f244,f6021]) ).
fof(f6198,plain,
( sk0_1 = sum(sum(n5,succ(sk0_20)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f21,f6197]) ).
fof(f6199,plain,
( sk0_1 = sum(sum(n5,succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f244,f6198]) ).
fof(f6200,plain,
( sk0_1 = sum(sum(n5,n7),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f10,f6199]) ).
fof(f6201,plain,
( sk0_1 = sum(n1,n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f88,f6200]) ).
fof(f6202,plain,
( sk0_1 = n9
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f45,f6201]) ).
fof(f6203,plain,
( n9 != sk0_1
| ~ spl0_6
| ~ spl0_15
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6187,f295]) ).
fof(f6204,plain,
( n9 != n9
| ~ spl0_6
| ~ spl0_15
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6202,f6203]) ).
fof(f6205,plain,
( $false
| ~ spl0_6
| ~ spl0_15
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6204]) ).
fof(f6206,plain,
( ~ spl0_6
| ~ spl0_15
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6205]) ).
fof(f6207,plain,
( sk0_0 = sum(sum(n3,succ(n4)),sum(pred(sk0_21),n5))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f272,f4134]) ).
fof(f6208,plain,
( sk0_0 = sum(sum(n3,n5),sum(pred(sk0_21),n5))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f6207]) ).
fof(f6209,plain,
( sk0_0 = sum(n8,sum(pred(sk0_21),n5))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f64,f6208]) ).
fof(f6210,plain,
( sk0_0 = sum(n8,sum(pred(n4),n5))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f272,f6209]) ).
fof(f6211,plain,
( sk0_0 = sum(n8,sum(n3,n5))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f6210]) ).
fof(f6212,plain,
( sk0_0 = sum(n8,n8)
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f64,f6211]) ).
fof(f6213,plain,
( sk0_0 = n5
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f122,f6212]) ).
fof(f6214,plain,
( sk0_1 = sum(n8,sum(pred(n4),succ(sk0_21)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f272,f4130]) ).
fof(f6215,plain,
( sk0_1 = sum(n8,sum(n3,succ(sk0_21)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f6214]) ).
fof(f6216,plain,
( sk0_1 = sum(n8,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f272,f6215]) ).
fof(f6217,plain,
( sk0_1 = sum(n8,sum(n3,n5))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f6216]) ).
fof(f6218,plain,
( sk0_1 = sum(n8,n8)
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f64,f6217]) ).
fof(f6219,plain,
( sk0_1 = n5
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f122,f6218]) ).
fof(f6229,plain,
( n5 != sk0_1
| ~ spl0_15
| ~ spl0_4
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6213,f295]) ).
fof(f6230,plain,
( n5 != n5
| ~ spl0_15
| ~ spl0_4
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6219,f6229]) ).
fof(f6231,plain,
( $false
| ~ spl0_15
| ~ spl0_4
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6230]) ).
fof(f6232,plain,
( ~ spl0_15
| ~ spl0_4
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6231]) ).
fof(f6233,plain,
( sk0_0 = sum(sum(n9,succ(n4)),sum(pred(sk0_21),n0))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f272,f4015]) ).
fof(f6234,plain,
( sk0_0 = sum(sum(n9,n5),sum(pred(sk0_21),n0))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f8,f6233]) ).
fof(f6235,plain,
( sk0_0 = sum(n3,sum(pred(sk0_21),n0))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f130,f6234]) ).
fof(f6236,plain,
( sk0_0 = sum(n3,sum(pred(n4),n0))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f272,f6235]) ).
fof(f6237,plain,
( sk0_0 = sum(n3,sum(n3,n0))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f19,f6236]) ).
fof(f6238,plain,
( sk0_0 = sum(n3,n3)
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f6237]) ).
fof(f6239,plain,
( sk0_0 = n6
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f62,f6238]) ).
fof(f6240,plain,
( sk0_1 = sum(n9,sum(pred(n4),succ(sk0_21)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f272,f3941]) ).
fof(f6241,plain,
( sk0_1 = sum(n9,sum(n3,succ(sk0_21)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f19,f6240]) ).
fof(f6242,plain,
( sk0_1 = sum(n9,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f272,f6241]) ).
fof(f6243,plain,
( sk0_1 = sum(n9,sum(n3,n5))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f8,f6242]) ).
fof(f6244,plain,
( sk0_1 = sum(n9,n8)
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f64,f6243]) ).
fof(f6245,plain,
( sk0_1 = n6
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f133,f6244]) ).
fof(f6260,plain,
( n6 != sk0_1
| ~ spl0_15
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6239,f295]) ).
fof(f6261,plain,
( n6 != n6
| ~ spl0_15
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6245,f6260]) ).
fof(f6262,plain,
( $false
| ~ spl0_15
| ~ spl0_10
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6261]) ).
fof(f6263,plain,
( ~ spl0_15
| ~ spl0_10
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6262]) ).
fof(f6264,plain,
( sk0_0 = sum(sum(n1,succ(n4)),sum(pred(sk0_21),n3))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f272,f3796]) ).
fof(f6265,plain,
( sk0_0 = sum(sum(n1,n5),sum(pred(sk0_21),n3))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f8,f6264]) ).
fof(f6266,plain,
( sk0_0 = sum(n6,sum(pred(sk0_21),n3))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f42,f6265]) ).
fof(f6267,plain,
( sk0_0 = sum(n6,sum(pred(n4),n3))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f272,f6266]) ).
fof(f6268,plain,
( sk0_0 = sum(n6,sum(n3,n3))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f19,f6267]) ).
fof(f6269,plain,
( sk0_0 = sum(n6,n6)
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f62,f6268]) ).
fof(f6270,plain,
( sk0_0 = n1
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f98,f6269]) ).
fof(f6271,plain,
( sk0_1 = sum(n4,sum(pred(n4),succ(sk0_21)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f272,f3784]) ).
fof(f6272,plain,
( sk0_1 = sum(n4,sum(n3,succ(sk0_21)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f19,f6271]) ).
fof(f6273,plain,
( sk0_1 = sum(n4,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f272,f6272]) ).
fof(f6274,plain,
( sk0_1 = sum(n4,sum(n3,n5))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f8,f6273]) ).
fof(f6275,plain,
( sk0_1 = sum(n4,n8)
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f64,f6274]) ).
fof(f6276,plain,
( sk0_1 = n1
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f78,f6275]) ).
fof(f6285,plain,
( n1 != sk0_1
| ~ spl0_15
| ~ spl0_2
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6270,f295]) ).
fof(f6286,plain,
( n1 != n1
| ~ spl0_15
| ~ spl0_2
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6276,f6285]) ).
fof(f6287,plain,
( $false
| ~ spl0_15
| ~ spl0_2
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6286]) ).
fof(f6288,plain,
( ~ spl0_15
| ~ spl0_2
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6287]) ).
fof(f6289,plain,
( sk0_1 = sum(n0,sum(pred(n4),succ(sk0_21)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f272,f3104]) ).
fof(f6290,plain,
( sk0_1 = sum(n0,sum(n3,succ(sk0_21)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f19,f6289]) ).
fof(f6291,plain,
( sk0_1 = sum(n0,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f272,f6290]) ).
fof(f6292,plain,
( sk0_1 = sum(n0,sum(n3,n5))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f8,f6291]) ).
fof(f6293,plain,
( sk0_1 = sum(n0,n8)
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f64,f6292]) ).
fof(f6294,plain,
( sk0_1 = n8
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f34,f6293]) ).
fof(f6295,plain,
( sk0_0 = sum(sum(n10,succ(n4)),sum(pred(sk0_21),n1))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f272,f3108]) ).
fof(f6296,plain,
( sk0_0 = sum(sum(n10,n5),sum(pred(sk0_21),n1))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f8,f6295]) ).
fof(f6297,plain,
( sk0_0 = sum(n4,sum(pred(sk0_21),n1))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f141,f6296]) ).
fof(f6298,plain,
( sk0_0 = sum(n4,sum(pred(n4),n1))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f272,f6297]) ).
fof(f6299,plain,
( sk0_0 = sum(n4,sum(n3,n1))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f19,f6298]) ).
fof(f6300,plain,
( sk0_0 = sum(n4,n4)
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f60,f6299]) ).
fof(f6301,plain,
( sk0_0 = n8
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f74,f6300]) ).
fof(f6328,plain,
( n8 != sk0_1
| ~ spl0_15
| ~ spl0_0
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6301,f295]) ).
fof(f6329,plain,
( n8 != n8
| ~ spl0_15
| ~ spl0_0
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6294,f6328]) ).
fof(f6330,plain,
( $false
| ~ spl0_15
| ~ spl0_0
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6329]) ).
fof(f6331,plain,
( ~ spl0_15
| ~ spl0_0
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6330]) ).
fof(f6355,plain,
( sk0_0 = sum(sum(pred(n3),n5),sum(n3,succ(sk0_20)))
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f235,f6025]) ).
fof(f6356,plain,
( sk0_0 = sum(sum(n2,n5),sum(n3,succ(sk0_20)))
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f18,f6355]) ).
fof(f6357,plain,
( sk0_0 = sum(n7,sum(n3,succ(sk0_20)))
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f53,f6356]) ).
fof(f6358,plain,
( sk0_0 = sum(n7,sum(n3,succ(n3)))
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f235,f6357]) ).
fof(f6359,plain,
( sk0_0 = sum(n7,sum(n3,n4))
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f7,f6358]) ).
fof(f6360,plain,
( sk0_0 = sum(n7,n7)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f63,f6359]) ).
fof(f6361,plain,
( sk0_0 = n3
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f110,f6360]) ).
fof(f6367,plain,
( n3 != sk0_1
| ~ spl0_3
| ~ spl0_15
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f6361,f295]) ).
fof(f6372,plain,
( sk0_1 = sum(sum(pred(n3),succ(sk0_20)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f235,f6021]) ).
fof(f6373,plain,
( sk0_1 = sum(sum(n2,succ(sk0_20)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f18,f6372]) ).
fof(f6374,plain,
( sk0_1 = sum(sum(n2,succ(n3)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f235,f6373]) ).
fof(f6375,plain,
( sk0_1 = sum(sum(n2,n4),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f7,f6374]) ).
fof(f6376,plain,
( sk0_1 = sum(n6,n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f52,f6375]) ).
fof(f6377,plain,
( sk0_1 = n3
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f100,f6376]) ).
fof(f6378,plain,
( n3 != n3
| ~ spl0_3
| ~ spl0_15
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6377,f6367]) ).
fof(f6379,plain,
( $false
| ~ spl0_3
| ~ spl0_15
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6378]) ).
fof(f6380,plain,
( ~ spl0_3
| ~ spl0_15
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6379]) ).
fof(f6381,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(n3),succ(sk0_20)))
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f269,f149]) ).
fof(f6382,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(n3)),sum(pred(n3),succ(sk0_20)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f269,f6381]) ).
fof(f6383,plain,
( sk0_0 = sum(sum(pred(sk0_20),n4),sum(pred(n3),succ(sk0_20)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f7,f6382]) ).
fof(f6384,plain,
( sk0_0 = sum(sum(pred(sk0_20),n4),sum(n2,succ(sk0_20)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f18,f6383]) ).
fof(f6410,plain,
( sk0_1 = sum(n8,sum(pred(n3),succ(sk0_21)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f269,f4130]) ).
fof(f6411,plain,
( sk0_1 = sum(n8,sum(n2,succ(sk0_21)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f18,f6410]) ).
fof(f6412,plain,
( sk0_1 = sum(n8,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f269,f6411]) ).
fof(f6413,plain,
( sk0_1 = sum(n8,sum(n2,n4))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f7,f6412]) ).
fof(f6414,plain,
( sk0_1 = sum(n8,n6)
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f52,f6413]) ).
fof(f6415,plain,
( sk0_1 = n3
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f120,f6414]) ).
fof(f6421,plain,
( sk0_0 != n3
| ~ spl0_14
| ~ spl0_4
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f6415,f295]) ).
fof(f6432,plain,
( sk0_0 = sum(sum(n3,succ(n3)),sum(pred(sk0_21),n5))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f269,f4134]) ).
fof(f6433,plain,
( sk0_0 = sum(sum(n3,n4),sum(pred(sk0_21),n5))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f7,f6432]) ).
fof(f6434,plain,
( sk0_0 = sum(n7,sum(pred(sk0_21),n5))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f63,f6433]) ).
fof(f6435,plain,
( sk0_0 = sum(n7,sum(pred(n3),n5))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f269,f6434]) ).
fof(f6436,plain,
( sk0_0 = sum(n7,sum(n2,n5))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f18,f6435]) ).
fof(f6437,plain,
( sk0_0 = sum(n7,n7)
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f53,f6436]) ).
fof(f6438,plain,
( sk0_0 = n3
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f110,f6437]) ).
fof(f6439,plain,
( $false
| spl0_22
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f6438,f6421]) ).
fof(f6440,plain,
( spl0_22
| ~ spl0_14
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f6439]) ).
fof(f6441,plain,
( sk0_0 = sum(sum(n4,succ(n3)),sum(pred(sk0_21),n6))
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f269,f4492]) ).
fof(f6442,plain,
( sk0_0 = sum(sum(n4,n4),sum(pred(sk0_21),n6))
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f7,f6441]) ).
fof(f6443,plain,
( sk0_0 = sum(n8,sum(pred(sk0_21),n6))
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f74,f6442]) ).
fof(f6444,plain,
( sk0_0 = sum(n8,sum(pred(n3),n6))
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f269,f6443]) ).
fof(f6445,plain,
( sk0_0 = sum(n8,sum(n2,n6))
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f18,f6444]) ).
fof(f6446,plain,
( sk0_0 = sum(n8,n8)
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f54,f6445]) ).
fof(f6447,plain,
( sk0_0 = n5
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f122,f6446]) ).
fof(f6448,plain,
( sk0_1 = sum(n10,sum(pred(n3),succ(sk0_21)))
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f269,f4488]) ).
fof(f6449,plain,
( sk0_1 = sum(n10,sum(n2,succ(sk0_21)))
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f18,f6448]) ).
fof(f6450,plain,
( sk0_1 = sum(n10,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f269,f6449]) ).
fof(f6451,plain,
( sk0_1 = sum(n10,sum(n2,n4))
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f7,f6450]) ).
fof(f6452,plain,
( sk0_1 = sum(n10,n6)
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f52,f6451]) ).
fof(f6453,plain,
( sk0_1 = n5
| ~ spl0_14
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f142,f6452]) ).
fof(f6465,plain,
( n5 != sk0_1
| ~ spl0_14
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6447,f295]) ).
fof(f6466,plain,
( n5 != n5
| ~ spl0_14
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6453,f6465]) ).
fof(f6467,plain,
( $false
| ~ spl0_14
| ~ spl0_5
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6466]) ).
fof(f6468,plain,
( ~ spl0_14
| ~ spl0_5
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6467]) ).
fof(f6469,plain,
( sk0_1 = sum(n1,sum(pred(n3),succ(sk0_21)))
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f269,f4305]) ).
fof(f6470,plain,
( sk0_1 = sum(n1,sum(n2,succ(sk0_21)))
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f18,f6469]) ).
fof(f6471,plain,
( sk0_1 = sum(n1,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f269,f6470]) ).
fof(f6472,plain,
( sk0_1 = sum(n1,sum(n2,n4))
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f7,f6471]) ).
fof(f6473,plain,
( sk0_1 = sum(n1,n6)
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f52,f6472]) ).
fof(f6474,plain,
( sk0_1 = n7
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f43,f6473]) ).
fof(f6475,plain,
( sk0_0 = sum(sum(n5,succ(n3)),sum(pred(sk0_21),n7))
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f269,f4300]) ).
fof(f6476,plain,
( sk0_0 = sum(sum(n5,n4),sum(pred(sk0_21),n7))
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f7,f6475]) ).
fof(f6477,plain,
( sk0_0 = sum(n9,sum(pred(sk0_21),n7))
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f85,f6476]) ).
fof(f6478,plain,
( sk0_0 = sum(n9,sum(pred(n3),n7))
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f269,f6477]) ).
fof(f6479,plain,
( sk0_0 = sum(n9,sum(n2,n7))
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f18,f6478]) ).
fof(f6480,plain,
( sk0_0 = sum(n9,n9)
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f55,f6479]) ).
fof(f6481,plain,
( sk0_0 = n7
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f134,f6480]) ).
fof(f6494,plain,
( n7 != sk0_1
| ~ spl0_14
| ~ spl0_6
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6481,f295]) ).
fof(f6495,plain,
( n7 != n7
| ~ spl0_14
| ~ spl0_6
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6474,f6494]) ).
fof(f6496,plain,
( $false
| ~ spl0_14
| ~ spl0_6
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6495]) ).
fof(f6497,plain,
( ~ spl0_14
| ~ spl0_6
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6496]) ).
fof(f6498,plain,
( sk0_1 = sum(n5,sum(pred(n3),succ(sk0_21)))
| ~ spl0_14
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f269,f4865]) ).
fof(f6499,plain,
( sk0_1 = sum(n5,sum(n2,succ(sk0_21)))
| ~ spl0_14
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f18,f6498]) ).
fof(f6500,plain,
( sk0_1 = sum(n5,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f269,f6499]) ).
fof(f6501,plain,
( sk0_1 = sum(n5,sum(n2,n4))
| ~ spl0_14
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f7,f6500]) ).
fof(f6502,plain,
( sk0_1 = sum(n5,n6)
| ~ spl0_14
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f52,f6501]) ).
fof(f6503,plain,
( sk0_1 = n0
| ~ spl0_14
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f87,f6502]) ).
fof(f6527,plain,
( sk0_0 = sum(sum(pred(n8),n4),sum(n2,succ(sk0_20)))
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f250,f6384]) ).
fof(f6528,plain,
( sk0_0 = sum(sum(n7,n4),sum(n2,succ(sk0_20)))
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f23,f6527]) ).
fof(f6529,plain,
( sk0_0 = sum(n0,sum(n2,succ(sk0_20)))
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f107,f6528]) ).
fof(f6530,plain,
( sk0_0 = sum(n0,sum(n2,succ(n8)))
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f250,f6529]) ).
fof(f6531,plain,
( sk0_0 = sum(n0,sum(n2,n9))
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f12,f6530]) ).
fof(f6532,plain,
( sk0_0 = sum(n0,n0)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f57,f6531]) ).
fof(f6533,plain,
( sk0_0 = n0
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f26,f6532]) ).
fof(f6540,plain,
( n0 != sk0_1
| ~ spl0_8
| ~ spl0_14
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6533,f295]) ).
fof(f6541,plain,
( n0 != n0
| ~ spl0_8
| ~ spl0_14
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6503,f6540]) ).
fof(f6542,plain,
( $false
| ~ spl0_8
| ~ spl0_14
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6541]) ).
fof(f6543,plain,
( ~ spl0_8
| ~ spl0_14
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6542]) ).
fof(f6544,plain,
( sk0_0 = sum(sum(n0,succ(n3)),sum(pred(sk0_21),n2))
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f269,f4676]) ).
fof(f6545,plain,
( sk0_0 = sum(sum(n0,n4),sum(pred(sk0_21),n2))
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f7,f6544]) ).
fof(f6546,plain,
( sk0_0 = sum(n4,sum(pred(sk0_21),n2))
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f30,f6545]) ).
fof(f6547,plain,
( sk0_0 = sum(n4,sum(pred(n3),n2))
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f269,f6546]) ).
fof(f6548,plain,
( sk0_0 = sum(n4,sum(n2,n2))
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f18,f6547]) ).
fof(f6549,plain,
( sk0_0 = sum(n4,n4)
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f50,f6548]) ).
fof(f6550,plain,
( sk0_0 = n8
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f74,f6549]) ).
fof(f6551,plain,
( sk0_1 = sum(n2,sum(pred(n3),succ(sk0_21)))
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f269,f4681]) ).
fof(f6552,plain,
( sk0_1 = sum(n2,sum(n2,succ(sk0_21)))
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f18,f6551]) ).
fof(f6553,plain,
( sk0_1 = sum(n2,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f269,f6552]) ).
fof(f6554,plain,
( sk0_1 = sum(n2,sum(n2,n4))
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f7,f6553]) ).
fof(f6555,plain,
( sk0_1 = sum(n2,n6)
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f52,f6554]) ).
fof(f6556,plain,
( sk0_1 = n8
| ~ spl0_14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f54,f6555]) ).
fof(f6568,plain,
( n8 != sk0_1
| ~ spl0_14
| ~ spl0_1
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6550,f295]) ).
fof(f6569,plain,
( n8 != n8
| ~ spl0_14
| ~ spl0_1
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6556,f6568]) ).
fof(f6570,plain,
( $false
| ~ spl0_14
| ~ spl0_1
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6569]) ).
fof(f6571,plain,
( ~ spl0_14
| ~ spl0_1
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6570]) ).
fof(f6572,plain,
( sk0_1 = sum(n7,sum(pred(n3),succ(sk0_21)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f269,f1620]) ).
fof(f6573,plain,
( sk0_1 = sum(n7,sum(n2,succ(sk0_21)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f18,f6572]) ).
fof(f6574,plain,
( sk0_1 = sum(n7,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f269,f6573]) ).
fof(f6575,plain,
( sk0_1 = sum(n7,sum(n2,n4))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f7,f6574]) ).
fof(f6576,plain,
( sk0_1 = sum(n7,n6)
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f52,f6575]) ).
fof(f6577,plain,
( sk0_1 = n2
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f109,f6576]) ).
fof(f6602,plain,
( sk0_0 = sum(sum(n8,succ(n3)),sum(pred(sk0_21),n10))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f269,f1615]) ).
fof(f6603,plain,
( sk0_0 = sum(sum(n8,n4),sum(pred(sk0_21),n10))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f7,f6602]) ).
fof(f6604,plain,
( sk0_0 = sum(n1,sum(pred(sk0_21),n10))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f118,f6603]) ).
fof(f6605,plain,
( sk0_0 = sum(n1,sum(pred(n3),n10))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f269,f6604]) ).
fof(f6606,plain,
( sk0_0 = sum(n1,sum(n2,n10))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f18,f6605]) ).
fof(f6607,plain,
( sk0_0 = sum(n1,n1)
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f58,f6606]) ).
fof(f6608,plain,
( sk0_0 = n2
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f38,f6607]) ).
fof(f6646,plain,
( sk0_0 != n2
| ~ spl0_14
| ~ spl0_9
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f6577,f295]) ).
fof(f6687,plain,
( n2 != n2
| ~ spl0_14
| ~ spl0_9
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6608,f6646]) ).
fof(f6688,plain,
( $false
| ~ spl0_14
| ~ spl0_9
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6687]) ).
fof(f6689,plain,
( ~ spl0_14
| ~ spl0_9
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6688]) ).
fof(f6690,plain,
( sk0_0 = sum(sum(n10,succ(n3)),sum(pred(sk0_21),n1))
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f269,f3108]) ).
fof(f6691,plain,
( sk0_0 = sum(sum(n10,n4),sum(pred(sk0_21),n1))
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f7,f6690]) ).
fof(f6692,plain,
( sk0_0 = sum(n3,sum(pred(sk0_21),n1))
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f140,f6691]) ).
fof(f6693,plain,
( sk0_0 = sum(n3,sum(pred(n3),n1))
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f269,f6692]) ).
fof(f6694,plain,
( sk0_0 = sum(n3,sum(n2,n1))
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f18,f6693]) ).
fof(f6695,plain,
( sk0_0 = sum(n3,n3)
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f49,f6694]) ).
fof(f6696,plain,
( sk0_0 = n6
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f62,f6695]) ).
fof(f6697,plain,
( sk0_1 = sum(n0,sum(pred(n3),succ(sk0_21)))
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f269,f3104]) ).
fof(f6698,plain,
( sk0_1 = sum(n0,sum(n2,succ(sk0_21)))
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f18,f6697]) ).
fof(f6699,plain,
( sk0_1 = sum(n0,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f269,f6698]) ).
fof(f6700,plain,
( sk0_1 = sum(n0,sum(n2,n4))
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f7,f6699]) ).
fof(f6701,plain,
( sk0_1 = sum(n0,n6)
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f52,f6700]) ).
fof(f6702,plain,
( sk0_1 = n6
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f32,f6701]) ).
fof(f6707,plain,
( n6 != sk0_1
| ~ spl0_14
| ~ spl0_0
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6696,f295]) ).
fof(f6708,plain,
( n6 != n6
| ~ spl0_14
| ~ spl0_0
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6702,f6707]) ).
fof(f6709,plain,
( $false
| ~ spl0_14
| ~ spl0_0
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6708]) ).
fof(f6710,plain,
( ~ spl0_14
| ~ spl0_0
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6709]) ).
fof(f6711,plain,
( sk0_1 = sum(n4,sum(pred(n3),succ(sk0_21)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f269,f3784]) ).
fof(f6712,plain,
( sk0_1 = sum(n4,sum(n2,succ(sk0_21)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f18,f6711]) ).
fof(f6713,plain,
( sk0_1 = sum(n4,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f269,f6712]) ).
fof(f6714,plain,
( sk0_1 = sum(n4,sum(n2,n4))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f7,f6713]) ).
fof(f6715,plain,
( sk0_1 = sum(n4,n6)
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f52,f6714]) ).
fof(f6716,plain,
( sk0_1 = n10
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f76,f6715]) ).
fof(f6747,plain,
( sk0_0 = sum(sum(pred(n2),n4),sum(n2,succ(sk0_20)))
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f232,f6384]) ).
fof(f6748,plain,
( sk0_0 = sum(sum(n1,n4),sum(n2,succ(sk0_20)))
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f17,f6747]) ).
fof(f6749,plain,
( sk0_0 = sum(n5,sum(n2,succ(sk0_20)))
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f41,f6748]) ).
fof(f6750,plain,
( sk0_0 = sum(n5,sum(n2,succ(n2)))
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f232,f6749]) ).
fof(f6751,plain,
( sk0_0 = sum(n5,sum(n2,n3))
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f6,f6750]) ).
fof(f6752,plain,
( sk0_0 = sum(n5,n5)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f51,f6751]) ).
fof(f6753,plain,
( sk0_0 = n10
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f86,f6752]) ).
fof(f6760,plain,
( n10 != sk0_1
| ~ spl0_2
| ~ spl0_14
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6753,f295]) ).
fof(f6761,plain,
( n10 != n10
| ~ spl0_2
| ~ spl0_14
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6716,f6760]) ).
fof(f6762,plain,
( $false
| ~ spl0_2
| ~ spl0_14
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6761]) ).
fof(f6763,plain,
( ~ spl0_2
| ~ spl0_14
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6762]) ).
fof(f6764,plain,
( sk0_1 = sum(n9,sum(pred(n3),succ(sk0_21)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f269,f369]) ).
fof(f6765,plain,
( sk0_1 = sum(n9,sum(n2,succ(sk0_21)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f18,f6764]) ).
fof(f6766,plain,
( sk0_1 = sum(n9,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f269,f6765]) ).
fof(f6767,plain,
( sk0_1 = sum(n9,sum(n2,n4))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f7,f6766]) ).
fof(f6768,plain,
( sk0_1 = sum(n9,n6)
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f52,f6767]) ).
fof(f6769,plain,
( sk0_1 = n4
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f131,f6768]) ).
fof(f6776,plain,
( sk0_0 = sum(sum(n9,succ(n3)),sum(pred(sk0_21),n0))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f269,f4015]) ).
fof(f6777,plain,
( sk0_0 = sum(sum(n9,n4),sum(pred(sk0_21),n0))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f7,f6776]) ).
fof(f6778,plain,
( sk0_0 = sum(n2,sum(pred(sk0_21),n0))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f129,f6777]) ).
fof(f6779,plain,
( sk0_0 = sum(n2,sum(pred(n3),n0))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f269,f6778]) ).
fof(f6780,plain,
( sk0_0 = sum(n2,sum(n2,n0))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f18,f6779]) ).
fof(f6781,plain,
( sk0_0 = sum(n2,n2)
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f48,f6780]) ).
fof(f6782,plain,
( sk0_0 = n4
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f50,f6781]) ).
fof(f6788,plain,
( n4 != sk0_1
| ~ spl0_14
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6782,f295]) ).
fof(f6789,plain,
( n4 != n4
| ~ spl0_14
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6769,f6788]) ).
fof(f6790,plain,
( $false
| ~ spl0_14
| ~ spl0_10
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6789]) ).
fof(f6791,plain,
( ~ spl0_14
| ~ spl0_10
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6790]) ).
fof(f6792,plain,
( sk0_0 = sum(sum(n2,succ(n3)),sum(pred(sk0_21),n4))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f269,f5046]) ).
fof(f6793,plain,
( sk0_0 = sum(sum(n2,n4),sum(pred(sk0_21),n4))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f7,f6792]) ).
fof(f6794,plain,
( sk0_0 = sum(n6,sum(pred(sk0_21),n4))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f52,f6793]) ).
fof(f6795,plain,
( sk0_0 = sum(n6,sum(pred(n3),n4))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f269,f6794]) ).
fof(f6796,plain,
( sk0_0 = sum(n6,sum(n2,n4))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f18,f6795]) ).
fof(f6797,plain,
( sk0_0 = sum(n6,n6)
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f52,f6796]) ).
fof(f6798,plain,
( sk0_0 = n1
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f98,f6797]) ).
fof(f6799,plain,
( sk0_1 = sum(n6,sum(pred(n3),succ(sk0_21)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f269,f5051]) ).
fof(f6800,plain,
( sk0_1 = sum(n6,sum(n2,succ(sk0_21)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f18,f6799]) ).
fof(f6801,plain,
( sk0_1 = sum(n6,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f269,f6800]) ).
fof(f6802,plain,
( sk0_1 = sum(n6,sum(n2,n4))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f7,f6801]) ).
fof(f6803,plain,
( sk0_1 = sum(n6,n6)
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f52,f6802]) ).
fof(f6804,plain,
( sk0_1 = n1
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f98,f6803]) ).
fof(f6822,plain,
( n1 != sk0_1
| ~ spl0_14
| ~ spl0_3
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f6798,f295]) ).
fof(f6827,plain,
( n1 != n1
| ~ spl0_14
| ~ spl0_3
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6804,f6822]) ).
fof(f6828,plain,
( $false
| ~ spl0_14
| ~ spl0_3
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6827]) ).
fof(f6829,plain,
( ~ spl0_14
| ~ spl0_3
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6828]) ).
fof(f6830,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(pred(sk0_21),succ(n2)))
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f266,f150]) ).
fof(f6831,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(pred(n2),succ(n2)))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f266,f6830]) ).
fof(f6832,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(n1,succ(n2)))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f17,f6831]) ).
fof(f6833,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),sum(n1,n3))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f6,f6832]) ).
fof(f6834,plain,
( sk0_1 = sum(sum(pred(sk0_20),succ(sk0_20)),n4)
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f40,f6833]) ).
fof(f6858,plain,
( sk0_1 = sum(n3,sum(pred(n2),succ(sk0_21)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f266,f821]) ).
fof(f6859,plain,
( sk0_1 = sum(n3,sum(n1,succ(sk0_21)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f17,f6858]) ).
fof(f6860,plain,
( sk0_1 = sum(n3,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f266,f6859]) ).
fof(f6861,plain,
( sk0_1 = sum(n3,sum(n1,n3))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f6,f6860]) ).
fof(f6862,plain,
( sk0_1 = sum(n3,n4)
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f40,f6861]) ).
fof(f6863,plain,
( sk0_1 = n7
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f63,f6862]) ).
fof(f6869,plain,
( sk0_0 != n7
| ~ spl0_13
| ~ spl0_7
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f6863,f295]) ).
fof(f6880,plain,
( sk0_0 = sum(sum(n6,succ(n2)),sum(pred(sk0_21),n8))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f266,f663]) ).
fof(f6881,plain,
( sk0_0 = sum(sum(n6,n3),sum(pred(sk0_21),n8))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f6,f6880]) ).
fof(f6882,plain,
( sk0_0 = sum(n9,sum(pred(sk0_21),n8))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f95,f6881]) ).
fof(f6883,plain,
( sk0_0 = sum(n9,sum(pred(n2),n8))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f266,f6882]) ).
fof(f6884,plain,
( sk0_0 = sum(n9,sum(n1,n8))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f17,f6883]) ).
fof(f6885,plain,
( sk0_0 = sum(n9,n9)
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f45,f6884]) ).
fof(f6886,plain,
( sk0_0 = n7
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f134,f6885]) ).
fof(f6887,plain,
( $false
| spl0_22
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f6886,f6869]) ).
fof(f6888,plain,
( spl0_22
| ~ spl0_13
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f6887]) ).
fof(f6889,plain,
( sk0_0 = sum(sum(n9,succ(n2)),sum(pred(sk0_21),n0))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f266,f4015]) ).
fof(f6890,plain,
( sk0_0 = sum(sum(n9,n3),sum(pred(sk0_21),n0))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f6,f6889]) ).
fof(f6891,plain,
( sk0_0 = sum(n1,sum(pred(sk0_21),n0))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f128,f6890]) ).
fof(f6892,plain,
( sk0_0 = sum(n1,sum(pred(n2),n0))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f266,f6891]) ).
fof(f6893,plain,
( sk0_0 = sum(n1,sum(n1,n0))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f17,f6892]) ).
fof(f6894,plain,
( sk0_0 = sum(n1,n1)
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f37,f6893]) ).
fof(f6895,plain,
( sk0_0 = n2
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f38,f6894]) ).
fof(f6896,plain,
( sk0_1 = sum(n9,sum(pred(n2),succ(sk0_21)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f266,f3941]) ).
fof(f6897,plain,
( sk0_1 = sum(n9,sum(n1,succ(sk0_21)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f17,f6896]) ).
fof(f6898,plain,
( sk0_1 = sum(n9,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f266,f6897]) ).
fof(f6899,plain,
( sk0_1 = sum(n9,sum(n1,n3))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f6,f6898]) ).
fof(f6900,plain,
( sk0_1 = sum(n9,n4)
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f40,f6899]) ).
fof(f6901,plain,
( sk0_1 = n2
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f129,f6900]) ).
fof(f6925,plain,
( n2 != sk0_1
| ~ spl0_13
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6895,f295]) ).
fof(f6926,plain,
( n2 != n2
| ~ spl0_13
| ~ spl0_10
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6901,f6925]) ).
fof(f6927,plain,
( $false
| ~ spl0_13
| ~ spl0_10
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6926]) ).
fof(f6928,plain,
( ~ spl0_13
| ~ spl0_10
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6927]) ).
fof(f6929,plain,
( sk0_0 = sum(sum(n1,succ(n2)),sum(pred(sk0_21),n3))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f266,f3796]) ).
fof(f6930,plain,
( sk0_0 = sum(sum(n1,n3),sum(pred(sk0_21),n3))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f6929]) ).
fof(f6931,plain,
( sk0_0 = sum(n4,sum(pred(sk0_21),n3))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f40,f6930]) ).
fof(f6932,plain,
( sk0_0 = sum(n4,sum(pred(n2),n3))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f266,f6931]) ).
fof(f6933,plain,
( sk0_0 = sum(n4,sum(n1,n3))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f6932]) ).
fof(f6934,plain,
( sk0_0 = sum(n4,n4)
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f40,f6933]) ).
fof(f6935,plain,
( sk0_0 = n8
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f74,f6934]) ).
fof(f6936,plain,
( sk0_1 = sum(n4,sum(pred(n2),succ(sk0_21)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f266,f3784]) ).
fof(f6937,plain,
( sk0_1 = sum(n4,sum(n1,succ(sk0_21)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f6936]) ).
fof(f6938,plain,
( sk0_1 = sum(n4,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f266,f6937]) ).
fof(f6939,plain,
( sk0_1 = sum(n4,sum(n1,n3))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f6938]) ).
fof(f6940,plain,
( sk0_1 = sum(n4,n4)
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f40,f6939]) ).
fof(f6941,plain,
( sk0_1 = n8
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f74,f6940]) ).
fof(f6959,plain,
( n8 != sk0_1
| ~ spl0_13
| ~ spl0_2
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6935,f295]) ).
fof(f6960,plain,
( n8 != n8
| ~ spl0_13
| ~ spl0_2
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6941,f6959]) ).
fof(f6961,plain,
( $false
| ~ spl0_13
| ~ spl0_2
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6960]) ).
fof(f6962,plain,
( ~ spl0_13
| ~ spl0_2
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6961]) ).
fof(f6963,plain,
( sk0_1 = sum(n0,sum(pred(n2),succ(sk0_21)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f266,f3104]) ).
fof(f6964,plain,
( sk0_1 = sum(n0,sum(n1,succ(sk0_21)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f17,f6963]) ).
fof(f6965,plain,
( sk0_1 = sum(n0,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f266,f6964]) ).
fof(f6966,plain,
( sk0_1 = sum(n0,sum(n1,n3))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f6,f6965]) ).
fof(f6967,plain,
( sk0_1 = sum(n0,n4)
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f40,f6966]) ).
fof(f6968,plain,
( sk0_1 = n4
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f30,f6967]) ).
fof(f6969,plain,
( sk0_0 = sum(sum(n10,succ(n2)),sum(pred(sk0_21),n1))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f266,f3108]) ).
fof(f6970,plain,
( sk0_0 = sum(sum(n10,n3),sum(pred(sk0_21),n1))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f6,f6969]) ).
fof(f6971,plain,
( sk0_0 = sum(n2,sum(pred(sk0_21),n1))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f139,f6970]) ).
fof(f6972,plain,
( sk0_0 = sum(n2,sum(pred(n2),n1))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f266,f6971]) ).
fof(f6973,plain,
( sk0_0 = sum(n2,sum(n1,n1))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f17,f6972]) ).
fof(f6974,plain,
( sk0_0 = sum(n2,n2)
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f38,f6973]) ).
fof(f6975,plain,
( sk0_0 = n4
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f50,f6974]) ).
fof(f6981,plain,
( n4 != sk0_1
| ~ spl0_13
| ~ spl0_0
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6975,f295]) ).
fof(f6982,plain,
( n4 != n4
| ~ spl0_13
| ~ spl0_0
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6968,f6981]) ).
fof(f6983,plain,
( $false
| ~ spl0_13
| ~ spl0_0
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f6982]) ).
fof(f6984,plain,
( ~ spl0_13
| ~ spl0_0
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f6983]) ).
fof(f6985,plain,
( sk0_1 = sum(n2,sum(pred(n2),succ(sk0_21)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f266,f4681]) ).
fof(f6986,plain,
( sk0_1 = sum(n2,sum(n1,succ(sk0_21)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f17,f6985]) ).
fof(f6987,plain,
( sk0_1 = sum(n2,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f266,f6986]) ).
fof(f6988,plain,
( sk0_1 = sum(n2,sum(n1,n3))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f6,f6987]) ).
fof(f6989,plain,
( sk0_1 = sum(n2,n4)
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f40,f6988]) ).
fof(f6990,plain,
( sk0_1 = n6
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f52,f6989]) ).
fof(f6991,plain,
( sk0_0 = sum(sum(n0,succ(n2)),sum(pred(sk0_21),n2))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f266,f4676]) ).
fof(f6992,plain,
( sk0_0 = sum(sum(n0,n3),sum(pred(sk0_21),n2))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f6,f6991]) ).
fof(f6993,plain,
( sk0_0 = sum(n3,sum(pred(sk0_21),n2))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f29,f6992]) ).
fof(f6994,plain,
( sk0_0 = sum(n3,sum(pred(n2),n2))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f266,f6993]) ).
fof(f6995,plain,
( sk0_0 = sum(n3,sum(n1,n2))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f17,f6994]) ).
fof(f6996,plain,
( sk0_0 = sum(n3,n3)
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f39,f6995]) ).
fof(f6997,plain,
( sk0_0 = n6
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f62,f6996]) ).
fof(f7027,plain,
( n6 != sk0_1
| ~ spl0_13
| ~ spl0_1
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6997,f295]) ).
fof(f7028,plain,
( n6 != n6
| ~ spl0_13
| ~ spl0_1
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f6990,f7027]) ).
fof(f7029,plain,
( $false
| ~ spl0_13
| ~ spl0_1
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7028]) ).
fof(f7030,plain,
( ~ spl0_13
| ~ spl0_1
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7029]) ).
fof(f7031,plain,
( sk0_0 = sum(sum(n7,succ(n2)),sum(pred(sk0_21),n9))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f266,f4869]) ).
fof(f7032,plain,
( sk0_0 = sum(sum(n7,n3),sum(pred(sk0_21),n9))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f6,f7031]) ).
fof(f7033,plain,
( sk0_0 = sum(n10,sum(pred(sk0_21),n9))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f106,f7032]) ).
fof(f7034,plain,
( sk0_0 = sum(n10,sum(pred(n2),n9))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f266,f7033]) ).
fof(f7035,plain,
( sk0_0 = sum(n10,sum(n1,n9))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f17,f7034]) ).
fof(f7036,plain,
( sk0_0 = sum(n10,n10)
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f46,f7035]) ).
fof(f7037,plain,
( sk0_0 = n9
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f146,f7036]) ).
fof(f7038,plain,
( sk0_1 = sum(n5,sum(pred(n2),succ(sk0_21)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f266,f4865]) ).
fof(f7039,plain,
( sk0_1 = sum(n5,sum(n1,succ(sk0_21)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f17,f7038]) ).
fof(f7040,plain,
( sk0_1 = sum(n5,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f266,f7039]) ).
fof(f7041,plain,
( sk0_1 = sum(n5,sum(n1,n3))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f6,f7040]) ).
fof(f7042,plain,
( sk0_1 = sum(n5,n4)
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f40,f7041]) ).
fof(f7043,plain,
( sk0_1 = n9
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f85,f7042]) ).
fof(f7050,plain,
( n9 != sk0_1
| ~ spl0_13
| ~ spl0_8
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7037,f295]) ).
fof(f7051,plain,
( n9 != n9
| ~ spl0_13
| ~ spl0_8
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7043,f7050]) ).
fof(f7052,plain,
( $false
| ~ spl0_13
| ~ spl0_8
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7051]) ).
fof(f7053,plain,
( ~ spl0_13
| ~ spl0_8
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7052]) ).
fof(f7054,plain,
( sk0_0 = sum(sum(n5,succ(n2)),sum(pred(sk0_21),n7))
| ~ spl0_13
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f266,f4300]) ).
fof(f7055,plain,
( sk0_0 = sum(sum(n5,n3),sum(pred(sk0_21),n7))
| ~ spl0_13
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f6,f7054]) ).
fof(f7056,plain,
( sk0_0 = sum(n8,sum(pred(sk0_21),n7))
| ~ spl0_13
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f84,f7055]) ).
fof(f7057,plain,
( sk0_0 = sum(n8,sum(pred(n2),n7))
| ~ spl0_13
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f266,f7056]) ).
fof(f7058,plain,
( sk0_0 = sum(n8,sum(n1,n7))
| ~ spl0_13
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f17,f7057]) ).
fof(f7059,plain,
( sk0_0 = sum(n8,n8)
| ~ spl0_13
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f44,f7058]) ).
fof(f7060,plain,
( sk0_0 = n5
| ~ spl0_13
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f122,f7059]) ).
fof(f7082,plain,
( sk0_1 = sum(sum(pred(n6),succ(sk0_20)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f244,f6834]) ).
fof(f7083,plain,
( sk0_1 = sum(sum(n5,succ(sk0_20)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f21,f7082]) ).
fof(f7084,plain,
( sk0_1 = sum(sum(n5,succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f244,f7083]) ).
fof(f7085,plain,
( sk0_1 = sum(sum(n5,n7),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f10,f7084]) ).
fof(f7086,plain,
( sk0_1 = sum(n1,n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f88,f7085]) ).
fof(f7087,plain,
( sk0_1 = n5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f41,f7086]) ).
fof(f7101,plain,
( n5 != sk0_1
| ~ spl0_13
| ~ spl0_6
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7060,f295]) ).
fof(f7102,plain,
( n5 != n5
| ~ spl0_13
| ~ spl0_6
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7087,f7101]) ).
fof(f7103,plain,
( $false
| ~ spl0_13
| ~ spl0_6
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7102]) ).
fof(f7104,plain,
( ~ spl0_13
| ~ spl0_6
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7103]) ).
fof(f7105,plain,
( sk0_1 = sum(n10,sum(pred(n2),succ(sk0_21)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f266,f4488]) ).
fof(f7106,plain,
( sk0_1 = sum(n10,sum(n1,succ(sk0_21)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f17,f7105]) ).
fof(f7107,plain,
( sk0_1 = sum(n10,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f266,f7106]) ).
fof(f7108,plain,
( sk0_1 = sum(n10,sum(n1,n3))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f6,f7107]) ).
fof(f7109,plain,
( sk0_1 = sum(n10,n4)
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f40,f7108]) ).
fof(f7110,plain,
( sk0_1 = n3
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f140,f7109]) ).
fof(f7111,plain,
( sk0_0 = sum(sum(n4,succ(n2)),sum(pred(sk0_21),n6))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f266,f4492]) ).
fof(f7112,plain,
( sk0_0 = sum(sum(n4,n3),sum(pred(sk0_21),n6))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f6,f7111]) ).
fof(f7113,plain,
( sk0_0 = sum(n7,sum(pred(sk0_21),n6))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f73,f7112]) ).
fof(f7114,plain,
( sk0_0 = sum(n7,sum(pred(n2),n6))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f266,f7113]) ).
fof(f7115,plain,
( sk0_0 = sum(n7,sum(n1,n6))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f17,f7114]) ).
fof(f7116,plain,
( sk0_0 = sum(n7,n7)
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f43,f7115]) ).
fof(f7117,plain,
( sk0_0 = n3
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f110,f7116]) ).
fof(f7125,plain,
( n3 != sk0_1
| ~ spl0_13
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7117,f295]) ).
fof(f7126,plain,
( n3 != n3
| ~ spl0_13
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7110,f7125]) ).
fof(f7127,plain,
( $false
| ~ spl0_13
| ~ spl0_5
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7126]) ).
fof(f7128,plain,
( ~ spl0_13
| ~ spl0_5
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7127]) ).
fof(f7129,plain,
( sk0_0 = sum(sum(n3,succ(n2)),sum(pred(sk0_21),n5))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f266,f4134]) ).
fof(f7130,plain,
( sk0_0 = sum(sum(n3,n3),sum(pred(sk0_21),n5))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f6,f7129]) ).
fof(f7131,plain,
( sk0_0 = sum(n6,sum(pred(sk0_21),n5))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f62,f7130]) ).
fof(f7132,plain,
( sk0_0 = sum(n6,sum(pred(n2),n5))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f266,f7131]) ).
fof(f7133,plain,
( sk0_0 = sum(n6,sum(n1,n5))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f17,f7132]) ).
fof(f7134,plain,
( sk0_0 = sum(n6,n6)
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f42,f7133]) ).
fof(f7135,plain,
( sk0_0 = n1
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f98,f7134]) ).
fof(f7136,plain,
( sk0_1 = sum(n8,sum(pred(n2),succ(sk0_21)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f266,f4130]) ).
fof(f7137,plain,
( sk0_1 = sum(n8,sum(n1,succ(sk0_21)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f17,f7136]) ).
fof(f7138,plain,
( sk0_1 = sum(n8,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f266,f7137]) ).
fof(f7139,plain,
( sk0_1 = sum(n8,sum(n1,n3))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f6,f7138]) ).
fof(f7140,plain,
( sk0_1 = sum(n8,n4)
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f40,f7139]) ).
fof(f7141,plain,
( sk0_1 = n1
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f118,f7140]) ).
fof(f7159,plain,
( n1 != sk0_1
| ~ spl0_13
| ~ spl0_4
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7135,f295]) ).
fof(f7160,plain,
( n1 != n1
| ~ spl0_13
| ~ spl0_4
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7141,f7159]) ).
fof(f7161,plain,
( $false
| ~ spl0_13
| ~ spl0_4
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7160]) ).
fof(f7162,plain,
( ~ spl0_13
| ~ spl0_4
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7161]) ).
fof(f7163,plain,
( sk0_1 = sum(n6,sum(pred(n2),succ(sk0_21)))
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f266,f5051]) ).
fof(f7164,plain,
( sk0_1 = sum(n6,sum(n1,succ(sk0_21)))
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f17,f7163]) ).
fof(f7165,plain,
( sk0_1 = sum(n6,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f266,f7164]) ).
fof(f7166,plain,
( sk0_1 = sum(n6,sum(n1,n3))
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f6,f7165]) ).
fof(f7167,plain,
( sk0_1 = sum(n6,n4)
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f40,f7166]) ).
fof(f7168,plain,
( sk0_1 = n10
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f96,f7167]) ).
fof(f7169,plain,
( sk0_0 = sum(sum(n2,succ(n2)),sum(pred(sk0_21),n4))
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f266,f5046]) ).
fof(f7170,plain,
( sk0_0 = sum(sum(n2,n3),sum(pred(sk0_21),n4))
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f6,f7169]) ).
fof(f7171,plain,
( sk0_0 = sum(n5,sum(pred(sk0_21),n4))
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f51,f7170]) ).
fof(f7172,plain,
( sk0_0 = sum(n5,sum(pred(n2),n4))
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f266,f7171]) ).
fof(f7173,plain,
( sk0_0 = sum(n5,sum(n1,n4))
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f17,f7172]) ).
fof(f7174,plain,
( sk0_0 = sum(n5,n5)
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f41,f7173]) ).
fof(f7175,plain,
( sk0_0 = n10
| ~ spl0_13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f86,f7174]) ).
fof(f7204,plain,
( sk0_0 != n10
| ~ spl0_13
| ~ spl0_3
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f7168,f295]) ).
fof(f7209,plain,
( n10 != n10
| ~ spl0_13
| ~ spl0_3
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7175,f7204]) ).
fof(f7210,plain,
( $false
| ~ spl0_13
| ~ spl0_3
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7209]) ).
fof(f7211,plain,
( ~ spl0_13
| ~ spl0_3
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7210]) ).
fof(f7212,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(sk0_21)),sum(pred(n0),succ(sk0_20)))
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f260,f149]) ).
fof(f7213,plain,
( sk0_0 = sum(sum(pred(sk0_20),succ(n0)),sum(pred(n0),succ(sk0_20)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f260,f7212]) ).
fof(f7214,plain,
( sk0_0 = sum(sum(pred(sk0_20),n1),sum(pred(n0),succ(sk0_20)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f4,f7213]) ).
fof(f7215,plain,
( sk0_0 = sum(sum(pred(sk0_20),n1),sum(n10,succ(sk0_20)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f15,f7214]) ).
fof(f7230,plain,
( sk0_0 = sum(sum(n10,succ(n0)),sum(pred(sk0_21),n1))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f260,f3108]) ).
fof(f7231,plain,
( sk0_0 = sum(sum(n10,n1),sum(pred(sk0_21),n1))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f4,f7230]) ).
fof(f7232,plain,
( sk0_0 = sum(n0,sum(pred(sk0_21),n1))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f137,f7231]) ).
fof(f7233,plain,
( sk0_0 = sum(n0,sum(pred(n0),n1))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f260,f7232]) ).
fof(f7234,plain,
( sk0_0 = sum(n0,sum(n10,n1))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f15,f7233]) ).
fof(f7235,plain,
( sk0_0 = sum(n0,n0)
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f137,f7234]) ).
fof(f7236,plain,
( sk0_0 = n0
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f26,f7235]) ).
fof(f7243,plain,
( n0 != sk0_1
| ~ spl0_11
| ~ spl0_0
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f7236,f295]) ).
fof(f7258,plain,
( sk0_1 = sum(n0,sum(pred(n0),succ(sk0_21)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f260,f3104]) ).
fof(f7259,plain,
( sk0_1 = sum(n0,sum(n10,succ(sk0_21)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f15,f7258]) ).
fof(f7260,plain,
( sk0_1 = sum(n0,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f260,f7259]) ).
fof(f7261,plain,
( sk0_1 = sum(n0,sum(n10,n1))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f4,f7260]) ).
fof(f7262,plain,
( sk0_1 = sum(n0,n0)
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f137,f7261]) ).
fof(f7263,plain,
( sk0_1 = n0
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f26,f7262]) ).
fof(f7271,plain,
( n0 != n0
| ~ spl0_11
| ~ spl0_0
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7263,f7243]) ).
fof(f7272,plain,
( $false
| ~ spl0_11
| ~ spl0_0
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7271]) ).
fof(f7273,plain,
( ~ spl0_11
| ~ spl0_0
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7272]) ).
fof(f7274,plain,
( sk0_1 = sum(n4,sum(pred(n0),succ(sk0_21)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f260,f3784]) ).
fof(f7275,plain,
( sk0_1 = sum(n4,sum(n10,succ(sk0_21)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f15,f7274]) ).
fof(f7276,plain,
( sk0_1 = sum(n4,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f260,f7275]) ).
fof(f7277,plain,
( sk0_1 = sum(n4,sum(n10,n1))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f4,f7276]) ).
fof(f7278,plain,
( sk0_1 = sum(n4,n0)
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f137,f7277]) ).
fof(f7279,plain,
( sk0_1 = n4
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f70,f7278]) ).
fof(f7280,plain,
( sk0_0 = sum(sum(n1,succ(n0)),sum(pred(sk0_21),n3))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f260,f3796]) ).
fof(f7281,plain,
( sk0_0 = sum(sum(n1,n1),sum(pred(sk0_21),n3))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f4,f7280]) ).
fof(f7282,plain,
( sk0_0 = sum(n2,sum(pred(sk0_21),n3))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f38,f7281]) ).
fof(f7283,plain,
( sk0_0 = sum(n2,sum(pred(n0),n3))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f260,f7282]) ).
fof(f7284,plain,
( sk0_0 = sum(n2,sum(n10,n3))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f15,f7283]) ).
fof(f7285,plain,
( sk0_0 = sum(n2,n2)
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f139,f7284]) ).
fof(f7286,plain,
( sk0_0 = n4
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f50,f7285]) ).
fof(f7300,plain,
( n4 != sk0_1
| ~ spl0_11
| ~ spl0_2
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7286,f295]) ).
fof(f7301,plain,
( n4 != n4
| ~ spl0_11
| ~ spl0_2
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7279,f7300]) ).
fof(f7302,plain,
( $false
| ~ spl0_11
| ~ spl0_2
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7301]) ).
fof(f7303,plain,
( ~ spl0_11
| ~ spl0_2
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7302]) ).
fof(f7304,plain,
( sk0_1 = sum(n8,sum(pred(n0),succ(sk0_21)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f260,f4130]) ).
fof(f7305,plain,
( sk0_1 = sum(n8,sum(n10,succ(sk0_21)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f15,f7304]) ).
fof(f7306,plain,
( sk0_1 = sum(n8,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f260,f7305]) ).
fof(f7307,plain,
( sk0_1 = sum(n8,sum(n10,n1))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f4,f7306]) ).
fof(f7308,plain,
( sk0_1 = sum(n8,n0)
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f137,f7307]) ).
fof(f7309,plain,
( sk0_1 = n8
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f114,f7308]) ).
fof(f7322,plain,
( sk0_0 = sum(sum(pred(n4),n1),sum(n10,succ(sk0_20)))
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f238,f7215]) ).
fof(f7323,plain,
( sk0_0 = sum(sum(n3,n1),sum(n10,succ(sk0_20)))
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f19,f7322]) ).
fof(f7324,plain,
( sk0_0 = sum(n4,sum(n10,succ(sk0_20)))
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f60,f7323]) ).
fof(f7325,plain,
( sk0_0 = sum(n4,sum(n10,succ(n4)))
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f238,f7324]) ).
fof(f7326,plain,
( sk0_0 = sum(n4,sum(n10,n5))
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f8,f7325]) ).
fof(f7327,plain,
( sk0_0 = sum(n4,n4)
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f141,f7326]) ).
fof(f7328,plain,
( sk0_0 = n8
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f74,f7327]) ).
fof(f7364,plain,
( n8 != sk0_1
| ~ spl0_4
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7328,f295]) ).
fof(f7365,plain,
( n8 != n8
| ~ spl0_4
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7309,f7364]) ).
fof(f7366,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7365]) ).
fof(f7367,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7366]) ).
fof(f7368,plain,
( sk0_1 = sum(n1,sum(pred(n0),succ(sk0_21)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f260,f4305]) ).
fof(f7369,plain,
( sk0_1 = sum(n1,sum(n10,succ(sk0_21)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f15,f7368]) ).
fof(f7370,plain,
( sk0_1 = sum(n1,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f260,f7369]) ).
fof(f7371,plain,
( sk0_1 = sum(n1,sum(n10,n1))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f4,f7370]) ).
fof(f7372,plain,
( sk0_1 = sum(n1,n0)
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f137,f7371]) ).
fof(f7373,plain,
( sk0_1 = n1
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f37,f7372]) ).
fof(f7374,plain,
( sk0_0 = sum(sum(n5,succ(n0)),sum(pred(sk0_21),n7))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f260,f4300]) ).
fof(f7375,plain,
( sk0_0 = sum(sum(n5,n1),sum(pred(sk0_21),n7))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f4,f7374]) ).
fof(f7376,plain,
( sk0_0 = sum(n6,sum(pred(sk0_21),n7))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f82,f7375]) ).
fof(f7377,plain,
( sk0_0 = sum(n6,sum(pred(n0),n7))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f260,f7376]) ).
fof(f7378,plain,
( sk0_0 = sum(n6,sum(n10,n7))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f15,f7377]) ).
fof(f7379,plain,
( sk0_0 = sum(n6,n6)
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f143,f7378]) ).
fof(f7380,plain,
( sk0_0 = n1
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f98,f7379]) ).
fof(f7392,plain,
( n1 != sk0_1
| ~ spl0_11
| ~ spl0_6
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7380,f295]) ).
fof(f7393,plain,
( n1 != n1
| ~ spl0_11
| ~ spl0_6
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7373,f7392]) ).
fof(f7394,plain,
( $false
| ~ spl0_11
| ~ spl0_6
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7393]) ).
fof(f7395,plain,
( ~ spl0_11
| ~ spl0_6
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7394]) ).
fof(f7396,plain,
( sk0_0 = sum(sum(n4,succ(n0)),sum(pred(sk0_21),n6))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f260,f4492]) ).
fof(f7397,plain,
( sk0_0 = sum(sum(n4,n1),sum(pred(sk0_21),n6))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f4,f7396]) ).
fof(f7398,plain,
( sk0_0 = sum(n5,sum(pred(sk0_21),n6))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f71,f7397]) ).
fof(f7399,plain,
( sk0_0 = sum(n5,sum(pred(n0),n6))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f260,f7398]) ).
fof(f7400,plain,
( sk0_0 = sum(n5,sum(n10,n6))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f15,f7399]) ).
fof(f7401,plain,
( sk0_0 = sum(n5,n5)
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f142,f7400]) ).
fof(f7402,plain,
( sk0_0 = n10
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f86,f7401]) ).
fof(f7427,plain,
( sk0_1 = sum(sum(pred(n5),succ(sk0_20)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f241,f516]) ).
fof(f7428,plain,
( sk0_1 = sum(sum(n4,succ(sk0_20)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f20,f7427]) ).
fof(f7429,plain,
( sk0_1 = sum(sum(n4,succ(n5)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f241,f7428]) ).
fof(f7430,plain,
( sk0_1 = sum(sum(n4,n6),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f9,f7429]) ).
fof(f7431,plain,
( sk0_1 = sum(n10,n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f76,f7430]) ).
fof(f7432,plain,
( sk0_1 = n10
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f136,f7431]) ).
fof(f7439,plain,
( n10 != sk0_1
| ~ spl0_11
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7402,f295]) ).
fof(f7440,plain,
( n10 != n10
| ~ spl0_11
| ~ spl0_5
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7432,f7439]) ).
fof(f7441,plain,
( $false
| ~ spl0_11
| ~ spl0_5
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7440]) ).
fof(f7442,plain,
( ~ spl0_11
| ~ spl0_5
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7441]) ).
fof(f7450,plain,
( sk0_1 = sum(n2,sum(pred(n0),succ(sk0_21)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f260,f4681]) ).
fof(f7451,plain,
( sk0_1 = sum(n2,sum(n10,succ(sk0_21)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f15,f7450]) ).
fof(f7452,plain,
( sk0_1 = sum(n2,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f260,f7451]) ).
fof(f7453,plain,
( sk0_1 = sum(n2,sum(n10,n1))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f4,f7452]) ).
fof(f7454,plain,
( sk0_1 = sum(n2,n0)
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f137,f7453]) ).
fof(f7455,plain,
( sk0_1 = n2
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f48,f7454]) ).
fof(f7468,plain,
( sk0_0 = sum(sum(pred(n1),n1),sum(n10,succ(sk0_20)))
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f229,f7215]) ).
fof(f7469,plain,
( sk0_0 = sum(sum(n0,n1),sum(n10,succ(sk0_20)))
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f16,f7468]) ).
fof(f7470,plain,
( sk0_0 = sum(n1,sum(n10,succ(sk0_20)))
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f27,f7469]) ).
fof(f7471,plain,
( sk0_0 = sum(n1,sum(n10,succ(n1)))
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f229,f7470]) ).
fof(f7472,plain,
( sk0_0 = sum(n1,sum(n10,n2))
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f5,f7471]) ).
fof(f7473,plain,
( sk0_0 = sum(n1,n1)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f138,f7472]) ).
fof(f7474,plain,
( sk0_0 = n2
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f38,f7473]) ).
fof(f7479,plain,
( n2 != sk0_1
| ~ spl0_1
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7474,f295]) ).
fof(f7480,plain,
( n2 != n2
| ~ spl0_1
| ~ spl0_11
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7455,f7479]) ).
fof(f7481,plain,
( $false
| ~ spl0_1
| ~ spl0_11
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7480]) ).
fof(f7482,plain,
( ~ spl0_1
| ~ spl0_11
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7481]) ).
fof(f7483,plain,
( sk0_1 = sum(n5,sum(pred(n0),succ(sk0_21)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f260,f4865]) ).
fof(f7484,plain,
( sk0_1 = sum(n5,sum(n10,succ(sk0_21)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f15,f7483]) ).
fof(f7485,plain,
( sk0_1 = sum(n5,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f260,f7484]) ).
fof(f7486,plain,
( sk0_1 = sum(n5,sum(n10,n1))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f4,f7485]) ).
fof(f7487,plain,
( sk0_1 = sum(n5,n0)
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f137,f7486]) ).
fof(f7488,plain,
( sk0_1 = n5
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f81,f7487]) ).
fof(f7489,plain,
( sk0_0 = sum(sum(n7,succ(n0)),sum(pred(sk0_21),n9))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f260,f4869]) ).
fof(f7490,plain,
( sk0_0 = sum(sum(n7,n1),sum(pred(sk0_21),n9))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f4,f7489]) ).
fof(f7491,plain,
( sk0_0 = sum(n8,sum(pred(sk0_21),n9))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f104,f7490]) ).
fof(f7492,plain,
( sk0_0 = sum(n8,sum(pred(n0),n9))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f260,f7491]) ).
fof(f7493,plain,
( sk0_0 = sum(n8,sum(n10,n9))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f15,f7492]) ).
fof(f7494,plain,
( sk0_0 = sum(n8,n8)
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f145,f7493]) ).
fof(f7495,plain,
( sk0_0 = n5
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f122,f7494]) ).
fof(f7503,plain,
( n5 != sk0_1
| ~ spl0_11
| ~ spl0_8
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7495,f295]) ).
fof(f7504,plain,
( n5 != n5
| ~ spl0_11
| ~ spl0_8
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7488,f7503]) ).
fof(f7505,plain,
( $false
| ~ spl0_11
| ~ spl0_8
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7504]) ).
fof(f7506,plain,
( ~ spl0_11
| ~ spl0_8
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7505]) ).
fof(f7507,plain,
( sk0_0 = sum(sum(n8,succ(n0)),sum(pred(sk0_21),n10))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f260,f1061]) ).
fof(f7508,plain,
( sk0_0 = sum(sum(n8,n1),sum(pred(sk0_21),n10))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f4,f7507]) ).
fof(f7509,plain,
( sk0_0 = sum(n9,sum(pred(sk0_21),n10))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f115,f7508]) ).
fof(f7510,plain,
( sk0_0 = sum(n9,sum(pred(n0),n10))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f260,f7509]) ).
fof(f7511,plain,
( sk0_0 = sum(n9,sum(n10,n10))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f15,f7510]) ).
fof(f7512,plain,
( sk0_0 = sum(n9,n9)
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f146,f7511]) ).
fof(f7513,plain,
( sk0_0 = n7
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f134,f7512]) ).
fof(f7542,plain,
( sk0_1 = sum(n7,sum(pred(n0),succ(sk0_21)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f260,f3340]) ).
fof(f7543,plain,
( sk0_1 = sum(n7,sum(n10,succ(sk0_21)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f15,f7542]) ).
fof(f7544,plain,
( sk0_1 = sum(n7,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f260,f7543]) ).
fof(f7545,plain,
( sk0_1 = sum(n7,sum(n10,n1))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f4,f7544]) ).
fof(f7546,plain,
( sk0_1 = sum(n7,n0)
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f137,f7545]) ).
fof(f7547,plain,
( sk0_1 = n7
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f103,f7546]) ).
fof(f7599,plain,
( n7 != sk0_1
| ~ spl0_11
| ~ spl0_9
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f7513,f295]) ).
fof(f7604,plain,
( n7 != n7
| ~ spl0_11
| ~ spl0_9
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7547,f7599]) ).
fof(f7605,plain,
( $false
| ~ spl0_11
| ~ spl0_9
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7604]) ).
fof(f7606,plain,
( ~ spl0_11
| ~ spl0_9
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7605]) ).
fof(f7607,plain,
( sk0_0 = sum(sum(n2,succ(n0)),sum(pred(sk0_21),n4))
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f260,f5046]) ).
fof(f7608,plain,
( sk0_0 = sum(sum(n2,n1),sum(pred(sk0_21),n4))
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f4,f7607]) ).
fof(f7609,plain,
( sk0_0 = sum(n3,sum(pred(sk0_21),n4))
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f49,f7608]) ).
fof(f7610,plain,
( sk0_0 = sum(n3,sum(pred(n0),n4))
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f260,f7609]) ).
fof(f7611,plain,
( sk0_0 = sum(n3,sum(n10,n4))
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f15,f7610]) ).
fof(f7612,plain,
( sk0_0 = sum(n3,n3)
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f140,f7611]) ).
fof(f7613,plain,
( sk0_0 = n6
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f62,f7612]) ).
fof(f7614,plain,
( sk0_1 = sum(n6,sum(pred(n0),succ(sk0_21)))
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f260,f5051]) ).
fof(f7615,plain,
( sk0_1 = sum(n6,sum(n10,succ(sk0_21)))
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f15,f7614]) ).
fof(f7616,plain,
( sk0_1 = sum(n6,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f260,f7615]) ).
fof(f7617,plain,
( sk0_1 = sum(n6,sum(n10,n1))
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f4,f7616]) ).
fof(f7618,plain,
( sk0_1 = sum(n6,n0)
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f137,f7617]) ).
fof(f7619,plain,
( sk0_1 = n6
| ~ spl0_11
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f92,f7618]) ).
fof(f7648,plain,
( n6 != sk0_1
| ~ spl0_11
| ~ spl0_3
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f7613,f295]) ).
fof(f7653,plain,
( n6 != n6
| ~ spl0_11
| ~ spl0_3
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f7619,f7648]) ).
fof(f7654,plain,
( $false
| ~ spl0_11
| ~ spl0_3
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f7653]) ).
fof(f7655,plain,
( ~ spl0_11
| ~ spl0_3
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f7654]) ).
fof(f7664,plain,
( sk0_18 != sk0_18
| ~ spl0_30
| spl0_31 ),
inference(forward_demodulation,[status(thm)],[f3346,f322]) ).
fof(f7665,plain,
( $false
| ~ spl0_30
| spl0_31 ),
inference(trivial_equality_resolution,[status(esa)],[f7664]) ).
fof(f7666,plain,
( ~ spl0_30
| spl0_31 ),
inference(contradiction_clause,[status(thm)],[f7665]) ).
fof(f7667,plain,
$false,
inference(sat_refutation,[status(thm)],[f258,f292,f323,f508,f633,f659,f816,f849,f883,f910,f957,f967,f1038,f1990,f2386,f2627,f2661,f2662,f2703,f2738,f2739,f2790,f2933,f2968,f3005,f3039,f3099,f3138,f3167,f3196,f3226,f3257,f3335,f3405,f3551,f3609,f3666,f3759,f3794,f3840,f3872,f3902,f3932,f3992,f4013,f4050,f4095,f4125,f4179,f4209,f4239,f4260,f4296,f4350,f4380,f4414,f4448,f4483,f4537,f4567,f4601,f4642,f4672,f4726,f4767,f4797,f4830,f4860,f4914,f4944,f4978,f5007,f5042,f5096,f5137,f5167,f5206,f5236,f5303,f5446,f5495,f5542,f5572,f5627,f5690,f5719,f5741,f5769,f5812,f5857,f5893,f5915,f6016,f6069,f6095,f6137,f6164,f6206,f6232,f6263,f6288,f6331,f6380,f6440,f6468,f6497,f6543,f6571,f6689,f6710,f6763,f6791,f6829,f6888,f6928,f6962,f6984,f7030,f7053,f7104,f7128,f7162,f7211,f7273,f7303,f7367,f7395,f7442,f7482,f7506,f7606,f7655,f7666]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM377+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 21:29:40 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 2.67/0.72 % Refutation found
% 2.67/0.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.67/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.84/0.77 % Elapsed time: 0.422039 seconds
% 2.84/0.77 % CPU time: 2.940715 seconds
% 2.84/0.77 % Total memory used: 80.048 MB
% 2.84/0.77 % Net memory used: 74.966 MB
%------------------------------------------------------------------------------