%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM377+1.010 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:39:17 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.84s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 33
% Syntax : Number of formulae : 2986 ( 164 unt; 32 def)
% Number of atoms : 9310 (3492 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 11893 (5569 ~;5632 |; 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] :
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( X10 != Y10
| X9 != Y9
| X8 != Y8
| X7 != Y7
| X6 != Y6
| X5 != Y5
| X4 != Y4
| X3 != Y3
| X2 != Y2
| X1 != Y1 )
& Y10 = sum(sum(pred(X9),succ(X9)),sum(pred(Y9),succ(Y9)))
& X10 = sum(sum(pred(X9),succ(Y9)),sum(pred(Y9),succ(X9)))
& Y9 = sum(sum(pred(X8),succ(X8)),sum(pred(Y8),succ(Y8)))
& X9 = sum(sum(pred(X8),succ(Y8)),sum(pred(Y8),succ(X8)))
& Y8 = sum(sum(pred(X7),succ(X7)),sum(pred(Y7),succ(Y7)))
& X8 = sum(sum(pred(X7),succ(Y7)),sum(pred(Y7),succ(X7)))
& Y7 = sum(sum(pred(X6),succ(X6)),sum(pred(Y6),succ(Y6)))
& X7 = sum(sum(pred(X6),succ(Y6)),sum(pred(Y6),succ(X6)))
& Y6 = sum(sum(pred(X5),succ(X5)),sum(pred(Y5),succ(Y5)))
& X6 = sum(sum(pred(X5),succ(Y5)),sum(pred(Y5),succ(X5)))
& Y5 = sum(sum(pred(X4),succ(X4)),sum(pred(Y4),succ(Y4)))
& X5 = sum(sum(pred(X4),succ(Y4)),sum(pred(Y4),succ(X4)))
& Y4 = sum(sum(pred(X3),succ(X3)),sum(pred(Y3),succ(Y3)))
& X4 = sum(sum(pred(X3),succ(Y3)),sum(pred(Y3),succ(X3)))
& Y3 = sum(sum(pred(X2),succ(X2)),sum(pred(Y2),succ(Y2)))
& X3 = sum(sum(pred(X2),succ(Y2)),sum(pred(Y2),succ(X2)))
& Y2 = sum(sum(pred(X1),succ(X1)),sum(pred(Y1),succ(Y1)))
& X2 = sum(sum(pred(X1),succ(Y1)),sum(pred(Y1),succ(X1)))
& Y1 = sum(sum(pred(X0),succ(X0)),sum(pred(Y0),succ(Y0)))
& X1 = sum(sum(pred(X0),succ(Y0)),sum(pred(Y0),succ(X0)))
& ( Y0 = n10
| Y0 = n9
| Y0 = n8
| Y0 = n7
| Y0 = n6
| Y0 = n5
| Y0 = n4
| Y0 = n3
| Y0 = n2
| Y0 = n1
| Y0 = n0 )
& ( X0 = n10
| X0 = n9
| X0 = n8
| X0 = n7
| X0 = n6
| X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 )
& sum(n10,n10) = n9
& sum(n10,n9) = n8
& sum(n10,n8) = n7
& sum(n10,n7) = n6
& sum(n10,n6) = n5
& sum(n10,n5) = n4
& sum(n10,n4) = n3
& sum(n10,n3) = n2
& sum(n10,n2) = n1
& sum(n10,n1) = n0
& sum(n10,n0) = n10
& sum(n9,n10) = n8
& sum(n9,n9) = n7
& sum(n9,n8) = n6
& sum(n9,n7) = n5
& sum(n9,n6) = n4
& sum(n9,n5) = n3
& sum(n9,n4) = n2
& sum(n9,n3) = n1
& sum(n9,n2) = n0
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n10) = n7
& sum(n8,n9) = n6
& sum(n8,n8) = n5
& sum(n8,n7) = n4
& sum(n8,n6) = n3
& sum(n8,n5) = n2
& sum(n8,n4) = n1
& sum(n8,n3) = n0
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n10) = n6
& sum(n7,n9) = n5
& sum(n7,n8) = n4
& sum(n7,n7) = n3
& sum(n7,n6) = n2
& sum(n7,n5) = n1
& sum(n7,n4) = n0
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n10) = n5
& sum(n6,n9) = n4
& sum(n6,n8) = n3
& sum(n6,n7) = n2
& sum(n6,n6) = n1
& sum(n6,n5) = n0
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n10) = n4
& sum(n5,n9) = n3
& sum(n5,n8) = n2
& sum(n5,n7) = n1
& sum(n5,n6) = n0
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n10) = n3
& sum(n4,n9) = n2
& sum(n4,n8) = n1
& sum(n4,n7) = n0
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n10) = n2
& sum(n3,n9) = n1
& sum(n3,n8) = n0
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n10) = n1
& sum(n2,n9) = n0
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n10) = n0
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n10
& succ(n10) = n0
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,plain,
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ? [X1,Y1,X2,Y2,X3,Y3,X4,Y4,X5,Y5,X6,Y6,X7,Y7,X8,Y8,X9,Y9,X10,Y10] :
( ( X10 != Y10
| X9 != Y9
| X8 != Y8
| X7 != Y7
| X6 != Y6
| X5 != Y5
| X4 != Y4
| X3 != Y3
| X2 != Y2
| X1 != Y1 )
& Y10 = sum(sum(pred(X9),succ(X9)),sum(pred(Y9),succ(Y9)))
& X10 = sum(sum(pred(X9),succ(Y9)),sum(pred(Y9),succ(X9)))
& Y9 = sum(sum(pred(X8),succ(X8)),sum(pred(Y8),succ(Y8)))
& X9 = sum(sum(pred(X8),succ(Y8)),sum(pred(Y8),succ(X8)))
& Y8 = sum(sum(pred(X7),succ(X7)),sum(pred(Y7),succ(Y7)))
& X8 = sum(sum(pred(X7),succ(Y7)),sum(pred(Y7),succ(X7)))
& Y7 = sum(sum(pred(X6),succ(X6)),sum(pred(Y6),succ(Y6)))
& X7 = sum(sum(pred(X6),succ(Y6)),sum(pred(Y6),succ(X6)))
& Y6 = sum(sum(pred(X5),succ(X5)),sum(pred(Y5),succ(Y5)))
& X6 = sum(sum(pred(X5),succ(Y5)),sum(pred(Y5),succ(X5)))
& Y5 = sum(sum(pred(X4),succ(X4)),sum(pred(Y4),succ(Y4)))
& X5 = sum(sum(pred(X4),succ(Y4)),sum(pred(Y4),succ(X4)))
& Y4 = sum(sum(pred(X3),succ(X3)),sum(pred(Y3),succ(Y3)))
& X4 = sum(sum(pred(X3),succ(Y3)),sum(pred(Y3),succ(X3)))
& Y3 = sum(sum(pred(X2),succ(X2)),sum(pred(Y2),succ(Y2)))
& X3 = sum(sum(pred(X2),succ(Y2)),sum(pred(Y2),succ(X2)))
& Y2 = sum(sum(pred(X1),succ(X1)),sum(pred(Y1),succ(Y1)))
& X2 = sum(sum(pred(X1),succ(Y1)),sum(pred(Y1),succ(X1)))
& ? [X0,Y0] :
( Y1 = sum(sum(pred(X0),succ(X0)),sum(pred(Y0),succ(Y0)))
& X1 = sum(sum(pred(X0),succ(Y0)),sum(pred(Y0),succ(X0)))
& ( Y0 = n10
| Y0 = n9
| Y0 = n8
| Y0 = n7
| Y0 = n6
| Y0 = n5
| Y0 = n4
| Y0 = n3
| Y0 = n2
| Y0 = n1
| Y0 = n0 )
& ( X0 = n10
| X0 = n9
| X0 = n8
| X0 = n7
| X0 = n6
| X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 )
& sum(n10,n10) = n9
& sum(n10,n9) = n8
& sum(n10,n8) = n7
& sum(n10,n7) = n6
& sum(n10,n6) = n5
& sum(n10,n5) = n4
& sum(n10,n4) = n3
& sum(n10,n3) = n2
& sum(n10,n2) = n1
& sum(n10,n1) = n0
& sum(n10,n0) = n10
& sum(n9,n10) = n8
& sum(n9,n9) = n7
& sum(n9,n8) = n6
& sum(n9,n7) = n5
& sum(n9,n6) = n4
& sum(n9,n5) = n3
& sum(n9,n4) = n2
& sum(n9,n3) = n1
& sum(n9,n2) = n0
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n10) = n7
& sum(n8,n9) = n6
& sum(n8,n8) = n5
& sum(n8,n7) = n4
& sum(n8,n6) = n3
& sum(n8,n5) = n2
& sum(n8,n4) = n1
& sum(n8,n3) = n0
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n10) = n6
& sum(n7,n9) = n5
& sum(n7,n8) = n4
& sum(n7,n7) = n3
& sum(n7,n6) = n2
& sum(n7,n5) = n1
& sum(n7,n4) = n0
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n10) = n5
& sum(n6,n9) = n4
& sum(n6,n8) = n3
& sum(n6,n7) = n2
& sum(n6,n6) = n1
& sum(n6,n5) = n0
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n10) = n4
& sum(n5,n9) = n3
& sum(n5,n8) = n2
& sum(n5,n7) = n1
& sum(n5,n6) = n0
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n10) = n3
& sum(n4,n9) = n2
& sum(n4,n8) = n1
& sum(n4,n7) = n0
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n10) = n2
& sum(n3,n9) = n1
& sum(n3,n8) = n0
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n10) = n1
& sum(n2,n9) = n0
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n10) = n0
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n10
& succ(n10) = n0
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f3,plain,
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( sK18_skl != sK19_skl
| sK16_skl != sK17_skl
| sK14_skl != sK15_skl
| sK12_skl != sK13_skl
| sK10_skl != sK11_skl
| sK8_skl != sK9_skl
| sK6_skl != sK7_skl
| sK4_skl != sK5_skl
| sK2_skl != sK3_skl
| sK0_skl != sK1_skl )
& sK19_skl = sum(sum(pred(sK16_skl),succ(sK16_skl)),sum(pred(sK17_skl),succ(sK17_skl)))
& sK18_skl = sum(sum(pred(sK16_skl),succ(sK17_skl)),sum(pred(sK17_skl),succ(sK16_skl)))
& sK17_skl = sum(sum(pred(sK14_skl),succ(sK14_skl)),sum(pred(sK15_skl),succ(sK15_skl)))
& sK16_skl = sum(sum(pred(sK14_skl),succ(sK15_skl)),sum(pred(sK15_skl),succ(sK14_skl)))
& sK15_skl = sum(sum(pred(sK12_skl),succ(sK12_skl)),sum(pred(sK13_skl),succ(sK13_skl)))
& sK14_skl = sum(sum(pred(sK12_skl),succ(sK13_skl)),sum(pred(sK13_skl),succ(sK12_skl)))
& sK13_skl = sum(sum(pred(sK10_skl),succ(sK10_skl)),sum(pred(sK11_skl),succ(sK11_skl)))
& sK12_skl = sum(sum(pred(sK10_skl),succ(sK11_skl)),sum(pred(sK11_skl),succ(sK10_skl)))
& sK11_skl = sum(sum(pred(sK8_skl),succ(sK8_skl)),sum(pred(sK9_skl),succ(sK9_skl)))
& sK10_skl = sum(sum(pred(sK8_skl),succ(sK9_skl)),sum(pred(sK9_skl),succ(sK8_skl)))
& sK9_skl = sum(sum(pred(sK6_skl),succ(sK6_skl)),sum(pred(sK7_skl),succ(sK7_skl)))
& sK8_skl = sum(sum(pred(sK6_skl),succ(sK7_skl)),sum(pred(sK7_skl),succ(sK6_skl)))
& sK7_skl = sum(sum(pred(sK4_skl),succ(sK4_skl)),sum(pred(sK5_skl),succ(sK5_skl)))
& sK6_skl = sum(sum(pred(sK4_skl),succ(sK5_skl)),sum(pred(sK5_skl),succ(sK4_skl)))
& sK5_skl = sum(sum(pred(sK2_skl),succ(sK2_skl)),sum(pred(sK3_skl),succ(sK3_skl)))
& sK4_skl = sum(sum(pred(sK2_skl),succ(sK3_skl)),sum(pred(sK3_skl),succ(sK2_skl)))
& sK3_skl = sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl)))
& sK2_skl = sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl)))
& sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(sK21_skl)))
& sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(sK20_skl)))
& ( sK21_skl = n10
| sK21_skl = n9
| sK21_skl = n8
| sK21_skl = n7
| sK21_skl = n6
| sK21_skl = n5
| sK21_skl = n4
| sK21_skl = n3
| sK21_skl = n2
| sK21_skl = n1
| sK21_skl = n0 )
& ( sK20_skl = n10
| sK20_skl = n9
| sK20_skl = n8
| sK20_skl = n7
| sK20_skl = n6
| sK20_skl = n5
| sK20_skl = n4
| sK20_skl = n3
| sK20_skl = n2
| sK20_skl = n1
| sK20_skl = n0 )
& sum(n10,n10) = n9
& sum(n10,n9) = n8
& sum(n10,n8) = n7
& sum(n10,n7) = n6
& sum(n10,n6) = n5
& sum(n10,n5) = n4
& sum(n10,n4) = n3
& sum(n10,n3) = n2
& sum(n10,n2) = n1
& sum(n10,n1) = n0
& sum(n10,n0) = n10
& sum(n9,n10) = n8
& sum(n9,n9) = n7
& sum(n9,n8) = n6
& sum(n9,n7) = n5
& sum(n9,n6) = n4
& sum(n9,n5) = n3
& sum(n9,n4) = n2
& sum(n9,n3) = n1
& sum(n9,n2) = n0
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n10) = n7
& sum(n8,n9) = n6
& sum(n8,n8) = n5
& sum(n8,n7) = n4
& sum(n8,n6) = n3
& sum(n8,n5) = n2
& sum(n8,n4) = n1
& sum(n8,n3) = n0
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n10) = n6
& sum(n7,n9) = n5
& sum(n7,n8) = n4
& sum(n7,n7) = n3
& sum(n7,n6) = n2
& sum(n7,n5) = n1
& sum(n7,n4) = n0
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n10) = n5
& sum(n6,n9) = n4
& sum(n6,n8) = n3
& sum(n6,n7) = n2
& sum(n6,n6) = n1
& sum(n6,n5) = n0
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n10) = n4
& sum(n5,n9) = n3
& sum(n5,n8) = n2
& sum(n5,n7) = n1
& sum(n5,n6) = n0
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n10) = n3
& sum(n4,n9) = n2
& sum(n4,n8) = n1
& sum(n4,n7) = n0
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n10) = n2
& sum(n3,n9) = n1
& sum(n3,n8) = n0
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n10) = n1
& sum(n2,n9) = n0
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n10) = n0
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n10
& succ(n10) = n0
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl,sK16_skl,sK17_skl,sK18_skl,sK19_skl,sK20_skl,sK21_skl]),skolemize(X1,sK0_skl),skolemize(Y1,sK1_skl),skolemize(X2,sK2_skl),skolemize(Y2,sK3_skl),skolemize(X3,sK4_skl),skolemize(Y3,sK5_skl),skolemize(X4,sK6_skl),skolemize(Y4,sK7_skl),skolemize(X5,sK8_skl),skolemize(Y5,sK9_skl),skolemize(X6,sK10_skl),skolemize(Y6,sK11_skl),skolemize(X7,sK12_skl),skolemize(Y7,sK13_skl),skolemize(X8,sK14_skl),skolemize(Y8,sK15_skl),skolemize(X9,sK16_skl),skolemize(Y9,sK17_skl),skolemize(X10,sK18_skl),skolemize(Y10,sK19_skl),skolemize(X0,sK20_skl),skolemize(Y0,sK21_skl)],[f2]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
succ(n10) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
pred(n0) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
pred(n1) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f17,plain,
pred(n2) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
pred(n3) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
pred(n4) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
pred(n5) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f21,plain,
pred(n6) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
pred(n7) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f23,plain,
pred(n8) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f24,plain,
pred(n9) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f25,plain,
pred(n10) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f26,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f27,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f28,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f29,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f30,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f31,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f32,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f33,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f34,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f35,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f36,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f37,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f38,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f39,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f40,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f41,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f42,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f43,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f44,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f45,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f46,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f47,plain,
sum(n1,n10) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f48,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f49,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f50,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f51,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f52,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f53,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f54,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f55,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f56,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f57,plain,
sum(n2,n9) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f58,plain,
sum(n2,n10) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f59,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f60,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f61,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f62,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f63,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f64,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f65,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f66,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f67,plain,
sum(n3,n8) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f68,plain,
sum(n3,n9) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f69,plain,
sum(n3,n10) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f71,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f72,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f77,plain,
sum(n4,n7) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f78,plain,
sum(n4,n8) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
sum(n4,n9) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
sum(n4,n10) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
sum(n5,n6) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
sum(n5,n7) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
sum(n5,n8) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
sum(n5,n9) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
sum(n5,n10) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
sum(n6,n5) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
sum(n6,n6) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
sum(n6,n7) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
sum(n6,n8) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
sum(n6,n9) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
sum(n6,n10) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
sum(n7,n4) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
sum(n7,n5) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
sum(n7,n6) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
sum(n7,n7) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
sum(n7,n8) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
sum(n7,n9) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
sum(n7,n10) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
sum(n8,n3) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
sum(n8,n4) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
sum(n8,n5) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
sum(n8,n6) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
sum(n8,n7) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
sum(n8,n8) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
sum(n8,n9) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
sum(n8,n10) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f127,plain,
sum(n9,n2) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f128,plain,
sum(n9,n3) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f129,plain,
sum(n9,n4) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f130,plain,
sum(n9,n5) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f131,plain,
sum(n9,n6) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f132,plain,
sum(n9,n7) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f133,plain,
sum(n9,n8) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f134,plain,
sum(n9,n9) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f135,plain,
sum(n9,n10) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f136,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f137,plain,
sum(n10,n1) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f138,plain,
sum(n10,n2) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f139,plain,
sum(n10,n3) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f140,plain,
sum(n10,n4) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f141,plain,
sum(n10,n5) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f142,plain,
sum(n10,n6) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f143,plain,
sum(n10,n7) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f144,plain,
sum(n10,n8) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f145,plain,
sum(n10,n9) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f146,plain,
sum(n10,n10) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f147,plain,
( sK20_skl = n10
| sK20_skl = n9
| sK20_skl = n8
| sK20_skl = n7
| sK20_skl = n6
| sK20_skl = n5
| sK20_skl = n4
| sK20_skl = n3
| sK20_skl = n2
| sK20_skl = n1
| sK20_skl = n0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f148,plain,
( sK21_skl = n10
| sK21_skl = n9
| sK21_skl = n8
| sK21_skl = n7
| sK21_skl = n6
| sK21_skl = n5
| sK21_skl = n4
| sK21_skl = n3
| sK21_skl = n2
| sK21_skl = n1
| sK21_skl = n0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f149,plain,
sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(sK20_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f150,plain,
sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(sK21_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f151,plain,
sK2_skl = sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f152,plain,
sK3_skl = sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f153,plain,
sK4_skl = sum(sum(pred(sK2_skl),succ(sK3_skl)),sum(pred(sK3_skl),succ(sK2_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f154,plain,
sK5_skl = sum(sum(pred(sK2_skl),succ(sK2_skl)),sum(pred(sK3_skl),succ(sK3_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f155,plain,
sK6_skl = sum(sum(pred(sK4_skl),succ(sK5_skl)),sum(pred(sK5_skl),succ(sK4_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f156,plain,
sK7_skl = sum(sum(pred(sK4_skl),succ(sK4_skl)),sum(pred(sK5_skl),succ(sK5_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f157,plain,
sK8_skl = sum(sum(pred(sK6_skl),succ(sK7_skl)),sum(pred(sK7_skl),succ(sK6_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f158,plain,
sK9_skl = sum(sum(pred(sK6_skl),succ(sK6_skl)),sum(pred(sK7_skl),succ(sK7_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f159,plain,
sK10_skl = sum(sum(pred(sK8_skl),succ(sK9_skl)),sum(pred(sK9_skl),succ(sK8_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f160,plain,
sK11_skl = sum(sum(pred(sK8_skl),succ(sK8_skl)),sum(pred(sK9_skl),succ(sK9_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f161,plain,
sK12_skl = sum(sum(pred(sK10_skl),succ(sK11_skl)),sum(pred(sK11_skl),succ(sK10_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f162,plain,
sK13_skl = sum(sum(pred(sK10_skl),succ(sK10_skl)),sum(pred(sK11_skl),succ(sK11_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f163,plain,
sK14_skl = sum(sum(pred(sK12_skl),succ(sK13_skl)),sum(pred(sK13_skl),succ(sK12_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f164,plain,
sK15_skl = sum(sum(pred(sK12_skl),succ(sK12_skl)),sum(pred(sK13_skl),succ(sK13_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f165,plain,
sK16_skl = sum(sum(pred(sK14_skl),succ(sK15_skl)),sum(pred(sK15_skl),succ(sK14_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f166,plain,
sK17_skl = sum(sum(pred(sK14_skl),succ(sK14_skl)),sum(pred(sK15_skl),succ(sK15_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f167,plain,
sK18_skl = sum(sum(pred(sK16_skl),succ(sK17_skl)),sum(pred(sK17_skl),succ(sK16_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f168,plain,
sK19_skl = sum(sum(pred(sK16_skl),succ(sK16_skl)),sum(pred(sK17_skl),succ(sK17_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f169,plain,
( sK18_skl != sK19_skl
| sK16_skl != sK17_skl
| sK14_skl != sK15_skl
| sK12_skl != sK13_skl
| sK10_skl != sK11_skl
| sK8_skl != sK9_skl
| sK6_skl != sK7_skl
| sK4_skl != sK5_skl
| sK2_skl != sK3_skl
| sK0_skl != sK1_skl ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f225,definition,
( sQ0_spl
<=> sK20_skl = n0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ0_spl
| sK20_skl = n0 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ1_spl
<=> sK20_skl = n1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ1_spl
| sK20_skl = n1 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ2_spl
<=> sK20_skl = n2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ2_spl
| sK20_skl = n2 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,definition,
( sQ3_spl
<=> sK20_skl = n3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ3_spl
| sK20_skl = n3 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,definition,
( sQ4_spl
<=> sK20_skl = n4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ4_spl
| sK20_skl = n4 ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
( sQ5_spl
<=> sK20_skl = n5 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ5_spl
| sK20_skl = n5 ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,definition,
( sQ6_spl
<=> sK20_skl = n6 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ6_spl
| sK20_skl = n6 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ7_spl
<=> sK20_skl = n7 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ7_spl
| sK20_skl = n7 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ8_spl
<=> sK20_skl = n8 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ8_spl
| sK20_skl = n8 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ9_spl
<=> sK20_skl = n9 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ9_spl
| sK20_skl = n9 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ10_spl
<=> sK20_skl = n10 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ10_spl
| sK20_skl = n10 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( sQ10_spl
| sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f147,f225,f228,f231,f234,f237,f240,f243,f246,f249,f252,f255]) ).
fof(f259,definition,
( sQ11_spl
<=> sK21_skl = n0 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ11_spl
| sK21_skl = n0 ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ12_spl
<=> sK21_skl = n1 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ12_spl
| sK21_skl = n1 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ13_spl
<=> sK21_skl = n2 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ13_spl
| sK21_skl = n2 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ14_spl
<=> sK21_skl = n3 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ14_spl
| sK21_skl = n3 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ15_spl
<=> sK21_skl = n4 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ15_spl
| sK21_skl = n4 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,definition,
( sQ16_spl
<=> sK21_skl = n5 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ16_spl
| sK21_skl = n5 ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,definition,
( sQ17_spl
<=> sK21_skl = n6 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( ~ sQ17_spl
| sK21_skl = n6 ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,definition,
( sQ18_spl
<=> sK21_skl = n7 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ18_spl
| sK21_skl = n7 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
( sQ19_spl
<=> sK21_skl = n8 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ19_spl
| sK21_skl = n8 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,definition,
( sQ20_spl
<=> sK21_skl = n9 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ20_spl
| sK21_skl = n9 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ21_spl
<=> sK21_skl = n10 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ21_spl
| sK21_skl = n10 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( sQ21_spl
| sQ20_spl
| sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f148,f259,f262,f265,f268,f271,f274,f277,f280,f283,f286,f289]) ).
fof(f293,definition,
( sQ22_spl
<=> sK0_skl = sK1_skl ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( ~ sQ22_spl
| sK0_skl = sK1_skl ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f295,plain,
( sQ22_spl
| sK0_skl != sK1_skl ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,definition,
( sQ23_spl
<=> sK2_skl = sK3_skl ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ23_spl
| sK2_skl = sK3_skl ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f298,plain,
( sQ23_spl
| sK2_skl != sK3_skl ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,definition,
( sQ24_spl
<=> sK4_skl = sK5_skl ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ24_spl
| sK4_skl = sK5_skl ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f301,plain,
( sQ24_spl
| sK4_skl != sK5_skl ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,definition,
( sQ25_spl
<=> sK6_skl = sK7_skl ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ25_spl
| sK6_skl = sK7_skl ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ25_spl
| sK6_skl != sK7_skl ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,definition,
( sQ26_spl
<=> sK8_skl = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ26_spl
| sK8_skl = sK9_skl ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f307,plain,
( sQ26_spl
| sK8_skl != sK9_skl ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
( sQ27_spl
<=> sK10_skl = sK11_skl ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ27_spl
| sK10_skl = sK11_skl ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ27_spl
| sK10_skl != sK11_skl ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ28_spl
<=> sK12_skl = sK13_skl ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ28_spl
| sK12_skl = sK13_skl ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ28_spl
| sK12_skl != sK13_skl ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ29_spl
<=> sK14_skl = sK15_skl ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ29_spl
| sK14_skl = sK15_skl ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ29_spl
| sK14_skl != sK15_skl ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ30_spl
<=> sK16_skl = sK17_skl ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ30_spl
| sK16_skl = sK17_skl ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( sQ30_spl
| sK16_skl != sK17_skl ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ31_spl
<=> sK18_skl = sK19_skl ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( sQ31_spl
| sK18_skl != sK19_skl ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f169,f293,f296,f299,f302,f305,f308,f311,f314,f317,f320]) ).
fof(f324,plain,
( ~ sQ21_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(backward_demodulation,[status(thm)],[f290,f150]) ).
fof(f325,plain,
( ~ sQ21_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f290,f149]) ).
fof(f341,plain,
( ~ sQ10_spl
| sK1_skl = sum(sum(pred(n10),succ(sK20_skl)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f256,f150]) ).
fof(f342,plain,
( ~ sQ10_spl
| sK1_skl = sum(sum(n9,succ(sK20_skl)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f341]) ).
fof(f343,plain,
( ~ sQ10_spl
| sK1_skl = sum(sum(n9,succ(n10)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f256,f342]) ).
fof(f344,plain,
( ~ sQ10_spl
| sK1_skl = sum(sum(n9,n0),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f343]) ).
fof(f345,plain,
( ~ sQ10_spl
| sK1_skl = sum(n9,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f125,f344]) ).
fof(f346,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK1_skl = sum(n9,sum(pred(n0),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f345]) ).
fof(f347,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK1_skl = sum(n9,sum(n10,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f346]) ).
fof(f348,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK1_skl = sum(n9,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f260,f347]) ).
fof(f349,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK1_skl = sum(n9,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f348]) ).
fof(f350,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK1_skl = sum(n9,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f349]) ).
fof(f351,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sK0_skl != n9 ),
inference(backward_demodulation,[status(thm)],[f354,f295]) ).
fof(f354,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK1_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f125,f350]) ).
fof(f355,plain,
( ~ sQ10_spl
| sK0_skl = sum(sum(pred(n10),succ(sK21_skl)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f256,f149]) ).
fof(f356,plain,
( ~ sQ10_spl
| sK0_skl = sum(sum(n9,succ(sK21_skl)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f355]) ).
fof(f357,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK0_skl = sum(sum(n9,succ(n0)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f356]) ).
fof(f358,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK0_skl = sum(sum(n9,n1),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f357]) ).
fof(f359,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK0_skl = sum(n10,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f126,f358]) ).
fof(f360,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK0_skl = sum(n10,sum(pred(n0),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f359]) ).
fof(f361,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK0_skl = sum(n10,sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f360]) ).
fof(f362,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK0_skl = sum(n10,sum(n10,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f256,f361]) ).
fof(f363,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK0_skl = sum(n10,sum(n10,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f362]) ).
fof(f364,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK0_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f136,f363]) ).
fof(f365,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sK0_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f364]) ).
fof(f371,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ11_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f365,f351]) ).
fof(f372,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f371]) ).
fof(f373,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f372]) ).
fof(f415,plain,
( ~ sQ22_spl
| sK3_skl = sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK0_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f294,f152]) ).
fof(f416,plain,
( ~ sQ22_spl
| sK3_skl = sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK0_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f294,f415]) ).
fof(f417,plain,
( ~ sQ22_spl
| sK2_skl = sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f294,f151]) ).
fof(f418,plain,
( ~ sQ22_spl
| sK2_skl = sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK0_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f294,f417]) ).
fof(f419,plain,
( ~ sQ22_spl
| sK2_skl = sK3_skl ),
inference(forward_demodulation,[status(thm)],[f416,f418]) ).
fof(f420,plain,
( ~ sQ22_spl
| sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f419,f298]) ).
fof(f421,plain,
( ~ sQ22_spl
| sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(pred(n0),succ(sK21_skl)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f226,f149]) ).
fof(f423,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(n10,succ(sK21_skl)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f422]) ).
fof(f424,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK0_skl = sum(sum(n10,succ(n0)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f423]) ).
fof(f425,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK0_skl = sum(sum(n10,n1),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f424]) ).
fof(f426,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK0_skl = sum(n0,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f137,f425]) ).
fof(f427,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK0_skl = sum(n0,sum(pred(n0),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f426]) ).
fof(f428,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK0_skl = sum(n0,sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f427]) ).
fof(f429,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK0_skl = sum(n0,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f226,f428]) ).
fof(f430,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK0_skl = sum(n0,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f429]) ).
fof(f431,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK0_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f430]) ).
fof(f432,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK0_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f431]) ).
fof(f433,plain,
( ~ sQ0_spl
| sK1_skl = sum(sum(pred(n0),succ(sK20_skl)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f226,f150]) ).
fof(f434,plain,
( ~ sQ0_spl
| sK1_skl = sum(sum(n10,succ(sK20_skl)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f433]) ).
fof(f435,plain,
( ~ sQ0_spl
| sK1_skl = sum(sum(n10,succ(n0)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f226,f434]) ).
fof(f436,plain,
( ~ sQ0_spl
| sK1_skl = sum(sum(n10,n1),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f435]) ).
fof(f437,plain,
( ~ sQ0_spl
| sK1_skl = sum(n0,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f137,f436]) ).
fof(f438,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK1_skl = sum(n0,sum(pred(n0),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f437]) ).
fof(f439,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK1_skl = sum(n0,sum(n10,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f438]) ).
fof(f440,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK1_skl = sum(n0,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f260,f439]) ).
fof(f441,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK1_skl = sum(n0,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f440]) ).
fof(f442,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK1_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f441]) ).
fof(f443,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sK1_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f442]) ).
fof(f455,plain,
( ~ sQ23_spl
| sK4_skl = sum(sum(pred(sK2_skl),succ(sK3_skl)),sum(pred(sK2_skl),succ(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f297,f153]) ).
fof(f456,plain,
( ~ sQ23_spl
| sK5_skl = sum(sum(pred(sK2_skl),succ(sK2_skl)),sum(pred(sK3_skl),succ(sK2_skl))) ),
inference(backward_demodulation,[status(thm)],[f297,f154]) ).
fof(f458,plain,
( ~ sQ1_spl
| sK1_skl = sum(sum(pred(n1),succ(sK20_skl)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f229,f150]) ).
fof(f459,plain,
( ~ sQ1_spl
| sK1_skl = sum(sum(n0,succ(sK20_skl)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f458]) ).
fof(f460,plain,
( ~ sQ1_spl
| sK1_skl = sum(sum(n0,succ(n1)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f229,f459]) ).
fof(f461,plain,
( ~ sQ1_spl
| sK1_skl = sum(sum(n0,n2),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f460]) ).
fof(f462,plain,
( ~ sQ1_spl
| sK1_skl = sum(n2,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f28,f461]) ).
fof(f463,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK1_skl = sum(n2,sum(pred(n0),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f462]) ).
fof(f464,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK1_skl = sum(n2,sum(n10,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f463]) ).
fof(f465,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK1_skl = sum(n2,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f260,f464]) ).
fof(f466,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK1_skl = sum(n2,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f465]) ).
fof(f467,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK1_skl = sum(n2,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f466]) ).
fof(f468,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ11_spl
| sK0_skl != n2 ),
inference(backward_demodulation,[status(thm)],[f470,f295]) ).
fof(f470,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK1_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f48,f467]) ).
fof(f471,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(n1),succ(sK21_skl)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f229,f149]) ).
fof(f472,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(n0,succ(sK21_skl)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f471]) ).
fof(f473,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK0_skl = sum(sum(n0,succ(n0)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f472]) ).
fof(f474,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK0_skl = sum(sum(n0,n1),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f473]) ).
fof(f475,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK0_skl = sum(n1,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f27,f474]) ).
fof(f476,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK0_skl = sum(n1,sum(pred(n0),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f475]) ).
fof(f477,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK0_skl = sum(n1,sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f476]) ).
fof(f478,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK0_skl = sum(n1,sum(n10,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f229,f477]) ).
fof(f479,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK0_skl = sum(n1,sum(n10,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f478]) ).
fof(f480,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK0_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f138,f479]) ).
fof(f481,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sK0_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f480]) ).
fof(f492,plain,
( ~ sQ23_spl
| sK4_skl = sum(sum(pred(sK2_skl),succ(sK2_skl)),sum(pred(sK2_skl),succ(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f297,f455]) ).
fof(f493,plain,
( ~ sQ23_spl
| sK5_skl = sum(sum(pred(sK2_skl),succ(sK2_skl)),sum(pred(sK2_skl),succ(sK2_skl))) ),
inference(forward_demodulation,[status(thm)],[f297,f456]) ).
fof(f494,plain,
( ~ sQ23_spl
| sK5_skl = sK4_skl ),
inference(forward_demodulation,[status(thm)],[f492,f493]) ).
fof(f495,plain,
( ~ sQ23_spl
| sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f494,f301]) ).
fof(f496,plain,
( ~ sQ23_spl
| sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f495]) ).
fof(f497,plain,
( ~ sQ11_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(n0)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f149]) ).
fof(f498,plain,
( ~ sQ11_spl
| sK0_skl = sum(sum(pred(sK20_skl),n1),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f497]) ).
fof(f499,plain,
( ~ sQ11_spl
| sK0_skl = sum(sum(pred(sK20_skl),n1),sum(pred(n0),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f498]) ).
fof(f500,plain,
( ~ sQ11_spl
| sK0_skl = sum(sum(pred(sK20_skl),n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f499]) ).
fof(f501,plain,
( ~ sQ11_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(n0),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f260,f150]) ).
fof(f502,plain,
( ~ sQ11_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n10,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f501]) ).
fof(f503,plain,
( ~ sQ11_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f260,f502]) ).
fof(f504,plain,
( ~ sQ11_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f503]) ).
fof(f505,plain,
( ~ sQ11_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f137,f504]) ).
fof(f509,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n2)),n0) ),
inference(backward_demodulation,[status(thm)],[f232,f505]) ).
fof(f510,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK0_skl = sum(sum(pred(sK20_skl),n1),sum(n10,succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f232,f500]) ).
fof(f521,plain,
( ~ sQ24_spl
| sK7_skl = sum(sum(pred(sK4_skl),succ(sK4_skl)),sum(pred(sK5_skl),succ(sK4_skl))) ),
inference(backward_demodulation,[status(thm)],[f300,f156]) ).
fof(f522,plain,
( ~ sQ24_spl
| sK6_skl = sum(sum(pred(sK4_skl),succ(sK5_skl)),sum(pred(sK4_skl),succ(sK4_skl))) ),
inference(backward_demodulation,[status(thm)],[f300,f155]) ).
fof(f532,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(pred(sK20_skl),n1),sum(n10,succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f235,f500]) ).
fof(f533,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n3)),n0) ),
inference(backward_demodulation,[status(thm)],[f235,f505]) ).
fof(f539,plain,
( ~ sQ24_spl
| sK7_skl = sum(sum(pred(sK4_skl),succ(sK4_skl)),sum(pred(sK4_skl),succ(sK4_skl))) ),
inference(forward_demodulation,[status(thm)],[f300,f521]) ).
fof(f540,plain,
( ~ sQ24_spl
| sK6_skl = sum(sum(pred(sK4_skl),succ(sK4_skl)),sum(pred(sK4_skl),succ(sK4_skl))) ),
inference(forward_demodulation,[status(thm)],[f300,f522]) ).
fof(f541,plain,
( ~ sQ24_spl
| sK6_skl = sK7_skl ),
inference(forward_demodulation,[status(thm)],[f539,f540]) ).
fof(f542,plain,
( ~ sQ24_spl
| sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f304]) ).
fof(f543,plain,
( ~ sQ24_spl
| sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(pred(n3),n1),sum(n10,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f235,f532]) ).
fof(f545,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(n2,n1),sum(n10,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f544]) ).
fof(f546,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK0_skl = sum(n3,sum(n10,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f49,f545]) ).
fof(f547,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK0_skl = sum(n3,sum(n10,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f546]) ).
fof(f548,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK0_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f140,f547]) ).
fof(f549,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl = sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f551,f151]) ).
fof(f550,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ3_spl
| n6 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f551,f295]) ).
fof(f551,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK0_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f548]) ).
fof(f552,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(pred(n3),succ(n3)),n0) ),
inference(forward_demodulation,[status(thm)],[f235,f533]) ).
fof(f553,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(n3)),n0) ),
inference(forward_demodulation,[status(thm)],[f18,f552]) ).
fof(f554,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,n4),n0) ),
inference(forward_demodulation,[status(thm)],[f7,f553]) ).
fof(f555,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,n0) ),
inference(forward_demodulation,[status(thm)],[f52,f554]) ).
fof(f556,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK1_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f92,f555]) ).
fof(f557,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK3_skl = sum(sum(pred(n6),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f551,f152]) ).
fof(f558,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK3_skl = sum(sum(n5,succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f557]) ).
fof(f559,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK3_skl = sum(sum(n5,succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f551,f558]) ).
fof(f560,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK3_skl = sum(sum(n5,n7),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f559]) ).
fof(f561,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK3_skl = sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f88,f560]) ).
fof(f562,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK3_skl = sum(n1,sum(pred(n6),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f556,f561]) ).
fof(f563,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK3_skl = sum(n1,sum(n5,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f562]) ).
fof(f564,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK3_skl = sum(n1,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f556,f563]) ).
fof(f565,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK3_skl = sum(n1,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f564]) ).
fof(f566,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK3_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f565]) ).
fof(f569,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK3_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f566]) ).
fof(f570,plain,
( sQ23_spl
| ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl != n2 ),
inference(forward_demodulation,[status(thm)],[f569,f298]) ).
fof(f572,plain,
( ~ sQ25_spl
| sK9_skl = sum(sum(pred(sK6_skl),succ(sK6_skl)),sum(pred(sK7_skl),succ(sK6_skl))) ),
inference(backward_demodulation,[status(thm)],[f303,f158]) ).
fof(f573,plain,
( ~ sQ25_spl
| sK8_skl = sum(sum(pred(sK6_skl),succ(sK7_skl)),sum(pred(sK6_skl),succ(sK6_skl))) ),
inference(backward_demodulation,[status(thm)],[f303,f157]) ).
fof(f574,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl = sum(sum(pred(n6),succ(sK1_skl)),sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f551,f549]) ).
fof(f575,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl = sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f574]) ).
fof(f576,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl = sum(sum(n5,succ(n6)),sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f556,f575]) ).
fof(f577,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl = sum(sum(n5,n7),sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f10,f576]) ).
fof(f578,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl = sum(n1,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f88,f577]) ).
fof(f579,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl = sum(n1,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f556,f578]) ).
fof(f580,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl = sum(n1,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f579]) ).
fof(f581,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl = sum(n1,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f580]) ).
fof(f582,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f581]) ).
fof(f583,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sK2_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f582]) ).
fof(f584,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f583,f570]) ).
fof(f585,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f584]) ).
fof(f586,plain,
( ~ sQ25_spl
| sK9_skl = sum(sum(pred(sK6_skl),succ(sK6_skl)),sum(pred(sK6_skl),succ(sK6_skl))) ),
inference(forward_demodulation,[status(thm)],[f303,f572]) ).
fof(f587,plain,
( ~ sQ25_spl
| sK8_skl = sum(sum(pred(sK6_skl),succ(sK6_skl)),sum(pred(sK6_skl),succ(sK6_skl))) ),
inference(forward_demodulation,[status(thm)],[f303,f573]) ).
fof(f588,plain,
( ~ sQ25_spl
| sK8_skl = sK9_skl ),
inference(forward_demodulation,[status(thm)],[f586,f587]) ).
fof(f589,plain,
( ~ sQ25_spl
| sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f588,f307]) ).
fof(f590,plain,
( ~ sQ25_spl
| sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f241,f149]) ).
fof(f592,plain,
( ~ sQ5_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n5)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(backward_demodulation,[status(thm)],[f241,f150]) ).
fof(f610,plain,
( ~ sQ26_spl
| sK11_skl = sum(sum(pred(sK8_skl),succ(sK8_skl)),sum(pred(sK9_skl),succ(sK8_skl))) ),
inference(backward_demodulation,[status(thm)],[f306,f160]) ).
fof(f611,plain,
( ~ sQ26_spl
| sK10_skl = sum(sum(pred(sK8_skl),succ(sK9_skl)),sum(pred(sK8_skl),succ(sK8_skl))) ),
inference(backward_demodulation,[status(thm)],[f306,f159]) ).
fof(f612,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(pred(n5),succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f591]) ).
fof(f613,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(n4,succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f612]) ).
fof(f614,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n4,succ(n1)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f263,f613]) ).
fof(f615,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n4,n2),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f5,f614]) ).
fof(f616,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK0_skl = sum(n6,sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f72,f615]) ).
fof(f617,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK0_skl = sum(n6,sum(pred(n1),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f263,f616]) ).
fof(f618,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK0_skl = sum(n6,sum(n0,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f16,f617]) ).
fof(f619,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK0_skl = sum(n6,sum(n0,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f618]) ).
fof(f620,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK0_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f32,f619]) ).
fof(f622,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ12_spl
| n1 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f624,f295]) ).
fof(f624,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK0_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f620]) ).
fof(f625,plain,
( ~ sQ5_spl
| sK1_skl = sum(sum(pred(n5),succ(n5)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f241,f592]) ).
fof(f626,plain,
( ~ sQ5_spl
| sK1_skl = sum(sum(n4,succ(n5)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f625]) ).
fof(f627,plain,
( ~ sQ5_spl
| sK1_skl = sum(sum(n4,n6),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f626]) ).
fof(f628,plain,
( ~ sQ5_spl
| sK1_skl = sum(n10,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f76,f627]) ).
fof(f629,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK1_skl = sum(n10,sum(pred(n1),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f263,f628]) ).
fof(f630,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK1_skl = sum(n10,sum(n0,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f629]) ).
fof(f631,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK1_skl = sum(n10,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f630]) ).
fof(f632,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK1_skl = sum(n10,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f631]) ).
fof(f633,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK1_skl = sum(n10,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f632]) ).
fof(f634,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| sK1_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f138,f633]) ).
fof(f636,plain,
( ~ sQ26_spl
| sK11_skl = sum(sum(pred(sK8_skl),succ(sK8_skl)),sum(pred(sK8_skl),succ(sK8_skl))) ),
inference(forward_demodulation,[status(thm)],[f306,f610]) ).
fof(f637,plain,
( ~ sQ26_spl
| sK10_skl = sum(sum(pred(sK8_skl),succ(sK8_skl)),sum(pred(sK8_skl),succ(sK8_skl))) ),
inference(forward_demodulation,[status(thm)],[f306,f611]) ).
fof(f638,plain,
( ~ sQ26_spl
| sK10_skl = sK11_skl ),
inference(forward_demodulation,[status(thm)],[f636,f637]) ).
fof(f639,plain,
( ~ sQ26_spl
| sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f310]) ).
fof(f640,plain,
( ~ sQ26_spl
| sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f639]) ).
fof(f654,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ12_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f634,f622]) ).
fof(f655,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f654]) ).
fof(f656,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( ~ sQ27_spl
| sK13_skl = sum(sum(pred(sK10_skl),succ(sK10_skl)),sum(pred(sK11_skl),succ(sK10_skl))) ),
inference(backward_demodulation,[status(thm)],[f309,f162]) ).
fof(f659,plain,
( ~ sQ27_spl
| sK12_skl = sum(sum(pred(sK10_skl),succ(sK11_skl)),sum(pred(sK10_skl),succ(sK10_skl))) ),
inference(backward_demodulation,[status(thm)],[f309,f161]) ).
fof(f680,plain,
( ~ sQ7_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n7)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(backward_demodulation,[status(thm)],[f247,f150]) ).
fof(f681,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f247,f149]) ).
fof(f695,plain,
( ~ sQ27_spl
| sK13_skl = sum(sum(pred(sK10_skl),succ(sK10_skl)),sum(pred(sK10_skl),succ(sK10_skl))) ),
inference(forward_demodulation,[status(thm)],[f309,f658]) ).
fof(f696,plain,
( ~ sQ27_spl
| sK12_skl = sum(sum(pred(sK10_skl),succ(sK10_skl)),sum(pred(sK10_skl),succ(sK10_skl))) ),
inference(forward_demodulation,[status(thm)],[f309,f659]) ).
fof(f697,plain,
( ~ sQ27_spl
| sK12_skl = sK13_skl ),
inference(forward_demodulation,[status(thm)],[f695,f696]) ).
fof(f698,plain,
( ~ sQ27_spl
| sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f697,f313]) ).
fof(f699,plain,
( ~ sQ27_spl
| sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f700,plain,
( ~ sQ7_spl
| sK1_skl = sum(sum(pred(n7),succ(n7)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f247,f680]) ).
fof(f701,plain,
( ~ sQ7_spl
| sK1_skl = sum(sum(n6,succ(n7)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f700]) ).
fof(f702,plain,
( ~ sQ7_spl
| sK1_skl = sum(sum(n6,n8),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f701]) ).
fof(f703,plain,
( ~ sQ7_spl
| sK1_skl = sum(n3,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f702]) ).
fof(f704,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK1_skl = sum(n3,sum(pred(n2),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f266,f703]) ).
fof(f705,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK1_skl = sum(n3,sum(n1,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f704]) ).
fof(f706,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK1_skl = sum(n3,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f266,f705]) ).
fof(f707,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK1_skl = sum(n3,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f706]) ).
fof(f708,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK1_skl = sum(n3,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f707]) ).
fof(f709,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK1_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f63,f708]) ).
fof(f710,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(n7),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f681]) ).
fof(f711,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(n6,succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f710]) ).
fof(f712,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n6,succ(n2)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f266,f711]) ).
fof(f713,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n6,n3),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f6,f712]) ).
fof(f714,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK0_skl = sum(n9,sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f95,f713]) ).
fof(f715,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK0_skl = sum(n9,sum(pred(n2),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f266,f714]) ).
fof(f716,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK0_skl = sum(n9,sum(n1,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f17,f715]) ).
fof(f717,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK0_skl = sum(n9,sum(n1,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f716]) ).
fof(f718,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK0_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f45,f717]) ).
fof(f719,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK0_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f718]) ).
fof(f720,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK3_skl = sum(sum(pred(n7),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f719,f152]) ).
fof(f721,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK3_skl = sum(sum(n6,succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f720]) ).
fof(f722,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK3_skl = sum(sum(n6,succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f719,f721]) ).
fof(f723,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK3_skl = sum(sum(n6,n8),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f722]) ).
fof(f724,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK3_skl = sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f723]) ).
fof(f725,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK3_skl = sum(n3,sum(pred(n7),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f709,f724]) ).
fof(f726,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK3_skl = sum(n3,sum(n6,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f725]) ).
fof(f727,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK3_skl = sum(n3,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f709,f726]) ).
fof(f728,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK3_skl = sum(n3,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f727]) ).
fof(f729,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK3_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f728]) ).
fof(f731,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK3_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f729]) ).
fof(f736,plain,
( sQ23_spl
| ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl != n6 ),
inference(forward_demodulation,[status(thm)],[f731,f298]) ).
fof(f737,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl = sum(sum(pred(n7),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f719,f151]) ).
fof(f738,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl = sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f737]) ).
fof(f739,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl = sum(sum(n6,succ(n7)),sum(pred(sK1_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f709,f738]) ).
fof(f740,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl = sum(sum(n6,n8),sum(pred(sK1_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f739]) ).
fof(f741,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl = sum(n3,sum(pred(sK1_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f740]) ).
fof(f742,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl = sum(n3,sum(pred(n7),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f709,f741]) ).
fof(f743,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl = sum(n3,sum(n6,succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f742]) ).
fof(f744,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl = sum(n3,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f719,f743]) ).
fof(f745,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl = sum(n3,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f744]) ).
fof(f746,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f745]) ).
fof(f747,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sK2_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f746]) ).
fof(f748,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f747,f736]) ).
fof(f749,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( ~ sQ28_spl
| sK15_skl = sum(sum(pred(sK12_skl),succ(sK12_skl)),sum(pred(sK13_skl),succ(sK12_skl))) ),
inference(backward_demodulation,[status(thm)],[f312,f164]) ).
fof(f752,plain,
( ~ sQ28_spl
| sK14_skl = sum(sum(pred(sK12_skl),succ(sK13_skl)),sum(pred(sK12_skl),succ(sK12_skl))) ),
inference(backward_demodulation,[status(thm)],[f312,f163]) ).
fof(f776,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f244,f149]) ).
fof(f777,plain,
( ~ sQ6_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n6)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(backward_demodulation,[status(thm)],[f244,f150]) ).
fof(f798,plain,
( ~ sQ28_spl
| sK15_skl = sum(sum(pred(sK12_skl),succ(sK12_skl)),sum(pred(sK12_skl),succ(sK12_skl))) ),
inference(forward_demodulation,[status(thm)],[f312,f751]) ).
fof(f799,plain,
( ~ sQ28_spl
| sK14_skl = sum(sum(pred(sK12_skl),succ(sK12_skl)),sum(pred(sK12_skl),succ(sK12_skl))) ),
inference(forward_demodulation,[status(thm)],[f312,f752]) ).
fof(f800,plain,
( ~ sQ28_spl
| sK14_skl = sK15_skl ),
inference(forward_demodulation,[status(thm)],[f798,f799]) ).
fof(f801,plain,
( ~ sQ28_spl
| sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f800,f316]) ).
fof(f802,plain,
( ~ sQ28_spl
| sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f801]) ).
fof(f803,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(n6),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f244,f776]) ).
fof(f804,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(n5,succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f803]) ).
fof(f805,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n5,succ(n3)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f269,f804]) ).
fof(f806,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n5,n4),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f7,f805]) ).
fof(f807,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK0_skl = sum(n9,sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f85,f806]) ).
fof(f808,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK0_skl = sum(n9,sum(pred(n3),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f269,f807]) ).
fof(f809,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK0_skl = sum(n9,sum(n2,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f18,f808]) ).
fof(f810,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK0_skl = sum(n9,sum(n2,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f809]) ).
fof(f811,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK0_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f55,f810]) ).
fof(f812,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK0_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f811]) ).
fof(f813,plain,
( ~ sQ6_spl
| sK1_skl = sum(sum(pred(n6),succ(n6)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f244,f777]) ).
fof(f814,plain,
( ~ sQ6_spl
| sK1_skl = sum(sum(n5,succ(n6)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f813]) ).
fof(f815,plain,
( ~ sQ6_spl
| sK1_skl = sum(sum(n5,n7),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f814]) ).
fof(f816,plain,
( ~ sQ6_spl
| sK1_skl = sum(n1,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f88,f815]) ).
fof(f817,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK1_skl = sum(n1,sum(pred(n3),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f269,f816]) ).
fof(f818,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK1_skl = sum(n1,sum(n2,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f817]) ).
fof(f819,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK1_skl = sum(n1,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f818]) ).
fof(f820,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK1_skl = sum(n1,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f819]) ).
fof(f821,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK1_skl = sum(n1,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f820]) ).
fof(f822,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK1_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f43,f821]) ).
fof(f823,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK3_skl = sum(sum(pred(n7),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f812,f152]) ).
fof(f824,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK3_skl = sum(sum(n6,succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f823]) ).
fof(f825,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK3_skl = sum(sum(n6,succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f812,f824]) ).
fof(f826,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK3_skl = sum(sum(n6,n8),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f825]) ).
fof(f827,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK3_skl = sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f826]) ).
fof(f828,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK3_skl = sum(n3,sum(pred(n7),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f822,f827]) ).
fof(f829,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK3_skl = sum(n3,sum(n6,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f828]) ).
fof(f830,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK3_skl = sum(n3,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f822,f829]) ).
fof(f831,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK3_skl = sum(n3,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f830]) ).
fof(f832,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK3_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f831]) ).
fof(f834,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK3_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f832]) ).
fof(f839,plain,
( sQ23_spl
| ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl != n6 ),
inference(forward_demodulation,[status(thm)],[f834,f298]) ).
fof(f840,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl = sum(sum(pred(n7),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f812,f151]) ).
fof(f841,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl = sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f840]) ).
fof(f842,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl = sum(sum(n6,succ(n7)),sum(pred(sK1_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f822,f841]) ).
fof(f843,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl = sum(sum(n6,n8),sum(pred(sK1_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f842]) ).
fof(f844,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl = sum(n3,sum(pred(sK1_skl),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f843]) ).
fof(f845,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl = sum(n3,sum(pred(n7),succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f822,f844]) ).
fof(f846,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl = sum(n3,sum(n6,succ(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f845]) ).
fof(f847,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl = sum(n3,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f812,f846]) ).
fof(f848,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl = sum(n3,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f847]) ).
fof(f849,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f848]) ).
fof(f850,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sK2_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f849]) ).
fof(f851,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f850,f839]) ).
fof(f852,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( ~ sQ29_spl
| sK17_skl = sum(sum(pred(sK14_skl),succ(sK14_skl)),sum(pred(sK15_skl),succ(sK14_skl))) ),
inference(backward_demodulation,[status(thm)],[f315,f166]) ).
fof(f855,plain,
( ~ sQ29_spl
| sK16_skl = sum(sum(pred(sK14_skl),succ(sK15_skl)),sum(pred(sK14_skl),succ(sK14_skl))) ),
inference(backward_demodulation,[status(thm)],[f315,f165]) ).
fof(f883,plain,
( ~ sQ8_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n8)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(backward_demodulation,[status(thm)],[f250,f150]) ).
fof(f884,plain,
( ~ sQ8_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f250,f149]) ).
fof(f894,plain,
( ~ sQ29_spl
| sK17_skl = sum(sum(pred(sK14_skl),succ(sK14_skl)),sum(pred(sK14_skl),succ(sK14_skl))) ),
inference(forward_demodulation,[status(thm)],[f315,f854]) ).
fof(f895,plain,
( ~ sQ29_spl
| sK16_skl = sum(sum(pred(sK14_skl),succ(sK14_skl)),sum(pred(sK14_skl),succ(sK14_skl))) ),
inference(forward_demodulation,[status(thm)],[f315,f855]) ).
fof(f896,plain,
( ~ sQ29_spl
| sK16_skl = sK17_skl ),
inference(forward_demodulation,[status(thm)],[f894,f895]) ).
fof(f897,plain,
( ~ sQ29_spl
| sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f896,f319]) ).
fof(f898,plain,
( ~ sQ29_spl
| sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f897]) ).
fof(f899,plain,
( ~ sQ8_spl
| sK1_skl = sum(sum(pred(n8),succ(n8)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f250,f883]) ).
fof(f900,plain,
( ~ sQ8_spl
| sK1_skl = sum(sum(n7,succ(n8)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f899]) ).
fof(f901,plain,
( ~ sQ8_spl
| sK1_skl = sum(sum(n7,n9),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f900]) ).
fof(f902,plain,
( ~ sQ8_spl
| sK1_skl = sum(n5,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f112,f901]) ).
fof(f903,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK1_skl = sum(n5,sum(pred(n4),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f272,f902]) ).
fof(f904,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK1_skl = sum(n5,sum(n3,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f903]) ).
fof(f905,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK1_skl = sum(n5,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f272,f904]) ).
fof(f906,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK1_skl = sum(n5,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f905]) ).
fof(f907,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK1_skl = sum(n5,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f906]) ).
fof(f910,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ15_spl
| sK0_skl != n2 ),
inference(backward_demodulation,[status(thm)],[f911,f295]) ).
fof(f911,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK1_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f89,f907]) ).
fof(f912,plain,
( ~ sQ8_spl
| sK0_skl = sum(sum(pred(n8),succ(sK21_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f250,f884]) ).
fof(f913,plain,
( ~ sQ8_spl
| sK0_skl = sum(sum(n7,succ(sK21_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f912]) ).
fof(f914,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n7,succ(n4)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f272,f913]) ).
fof(f915,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n7,n5),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f8,f914]) ).
fof(f916,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK0_skl = sum(n1,sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f108,f915]) ).
fof(f917,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK0_skl = sum(n1,sum(pred(n4),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f272,f916]) ).
fof(f918,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK0_skl = sum(n1,sum(n3,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f19,f917]) ).
fof(f919,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK0_skl = sum(n1,sum(n3,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f918]) ).
fof(f920,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK0_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f68,f919]) ).
fof(f921,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sK0_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f920]) ).
fof(f923,plain,
( ~ sQ30_spl
| sK19_skl = sum(sum(pred(sK16_skl),succ(sK16_skl)),sum(pred(sK17_skl),succ(sK16_skl))) ),
inference(backward_demodulation,[status(thm)],[f318,f168]) ).
fof(f924,plain,
( ~ sQ30_spl
| sK18_skl = sum(sum(pred(sK16_skl),succ(sK17_skl)),sum(pred(sK16_skl),succ(sK16_skl))) ),
inference(backward_demodulation,[status(thm)],[f318,f167]) ).
fof(f948,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ15_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f921,f910]) ).
fof(f949,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f948]) ).
fof(f950,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f949]) ).
fof(f951,plain,
( ~ sQ30_spl
| sK19_skl = sum(sum(pred(sK16_skl),succ(sK16_skl)),sum(pred(sK16_skl),succ(sK16_skl))) ),
inference(forward_demodulation,[status(thm)],[f318,f923]) ).
fof(f952,plain,
( ~ sQ30_spl
| sK18_skl = sum(sum(pred(sK16_skl),succ(sK16_skl)),sum(pred(sK16_skl),succ(sK16_skl))) ),
inference(forward_demodulation,[status(thm)],[f318,f924]) ).
fof(f953,plain,
( ~ sQ30_spl
| sK18_skl = sK19_skl ),
inference(forward_demodulation,[status(thm)],[f951,f952]) ).
fof(f954,plain,
( ~ sQ30_spl
| sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f953,f322]) ).
fof(f955,plain,
( ~ sQ30_spl
| sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f954]) ).
fof(f958,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(backward_demodulation,[status(thm)],[f226,f149]) ).
fof(f968,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(n10,succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f226,f423]) ).
fof(f969,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(n10,succ(sK21_skl)),sum(pred(sK21_skl),n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f968]) ).
fof(f971,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK1_skl = sum(n0,sum(pred(sK21_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f275,f437]) ).
fof(f981,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(pred(n0),succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f226,f958]) ).
fof(f982,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(n10,succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f981]) ).
fof(f983,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n10,succ(n5)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f275,f982]) ).
fof(f984,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n10,n6),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f9,f983]) ).
fof(f985,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK0_skl = sum(n5,sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f142,f984]) ).
fof(f986,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK0_skl = sum(n5,sum(pred(n5),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f275,f985]) ).
fof(f987,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK0_skl = sum(n5,sum(n4,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f20,f986]) ).
fof(f988,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK0_skl = sum(n5,sum(n4,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f987]) ).
fof(f989,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK0_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f71,f988]) ).
fof(f990,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ16_spl
| n10 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f993,f295]) ).
fof(f993,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK0_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f989]) ).
fof(f1004,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK1_skl = sum(n0,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f275,f971]) ).
fof(f1005,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK1_skl = sum(n0,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f1004]) ).
fof(f1006,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK1_skl = sum(n0,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f1005]) ).
fof(f1007,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK1_skl = sum(n0,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f1006]) ).
fof(f1008,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sK1_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f36,f1007]) ).
fof(f1010,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ16_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f1008,f990]) ).
fof(f1011,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1010]) ).
fof(f1012,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1048,plain,
( ~ sQ4_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n4)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(backward_demodulation,[status(thm)],[f238,f150]) ).
fof(f1049,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f238,f149]) ).
fof(f1069,plain,
( ~ sQ4_spl
| sK1_skl = sum(sum(pred(n4),succ(n4)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f238,f1048]) ).
fof(f1070,plain,
( ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(n4)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f1069]) ).
fof(f1071,plain,
( ~ sQ4_spl
| sK1_skl = sum(sum(n3,n5),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f1070]) ).
fof(f1072,plain,
( ~ sQ4_spl
| sK1_skl = sum(n8,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f64,f1071]) ).
fof(f1073,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK1_skl = sum(n8,sum(pred(n6),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f278,f1072]) ).
fof(f1074,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK1_skl = sum(n8,sum(n5,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f1073]) ).
fof(f1075,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK1_skl = sum(n8,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f1074]) ).
fof(f1076,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK1_skl = sum(n8,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f1075]) ).
fof(f1077,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK1_skl = sum(n8,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f1076]) ).
fof(f1080,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ17_spl
| sK0_skl != n9 ),
inference(backward_demodulation,[status(thm)],[f1081,f295]) ).
fof(f1081,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK1_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f115,f1077]) ).
fof(f1082,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(pred(n4),succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f238,f1049]) ).
fof(f1083,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(n3,succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f1082]) ).
fof(f1084,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n3,succ(n6)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f278,f1083]) ).
fof(f1085,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n3,n7),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f10,f1084]) ).
fof(f1086,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK0_skl = sum(n10,sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f66,f1085]) ).
fof(f1087,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK0_skl = sum(n10,sum(pred(n6),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f278,f1086]) ).
fof(f1088,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK0_skl = sum(n10,sum(n5,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f21,f1087]) ).
fof(f1089,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK0_skl = sum(n10,sum(n5,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f1088]) ).
fof(f1090,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK0_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f86,f1089]) ).
fof(f1091,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sK0_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f1090]) ).
fof(f1115,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ17_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f1091,f1080]) ).
fof(f1116,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1115]) ).
fof(f1117,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1116]) ).
fof(f1121,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f229,f149]) ).
fof(f1131,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK1_skl = sum(n2,sum(pred(sK21_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f281,f462]) ).
fof(f1142,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(n1),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f229,f1121]) ).
fof(f1143,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(n0,succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f1142]) ).
fof(f1144,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n0,succ(n7)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f281,f1143]) ).
fof(f1145,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n0,n8),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f11,f1144]) ).
fof(f1146,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK0_skl = sum(n8,sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f34,f1145]) ).
fof(f1147,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK0_skl = sum(n8,sum(pred(n7),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f281,f1146]) ).
fof(f1148,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK0_skl = sum(n8,sum(n6,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f22,f1147]) ).
fof(f1149,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK0_skl = sum(n8,sum(n6,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f1148]) ).
fof(f1150,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK0_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f94,f1149]) ).
fof(f1151,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ18_spl
| n5 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1154,f295]) ).
fof(f1154,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK0_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f1150]) ).
fof(f1159,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK1_skl = sum(n2,sum(pred(n7),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f281,f1131]) ).
fof(f1160,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK1_skl = sum(n2,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f1159]) ).
fof(f1161,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK1_skl = sum(n2,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f1160]) ).
fof(f1162,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK1_skl = sum(n2,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f1161]) ).
fof(f1163,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sK1_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f51,f1162]) ).
fof(f1170,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ18_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f1163,f1151]) ).
fof(f1171,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1170]) ).
fof(f1172,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1171]) ).
fof(f1179,plain,
( ~ sQ2_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n2)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(backward_demodulation,[status(thm)],[f232,f150]) ).
fof(f1180,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f232,f149]) ).
fof(f1193,plain,
( ~ sQ2_spl
| sK1_skl = sum(sum(pred(n2),succ(n2)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f232,f1179]) ).
fof(f1194,plain,
( ~ sQ2_spl
| sK1_skl = sum(sum(n1,succ(n2)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f1193]) ).
fof(f1195,plain,
( ~ sQ2_spl
| sK1_skl = sum(sum(n1,n3),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f1194]) ).
fof(f1196,plain,
( ~ sQ2_spl
| sK1_skl = sum(n4,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f40,f1195]) ).
fof(f1197,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK1_skl = sum(n4,sum(pred(n8),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f284,f1196]) ).
fof(f1198,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK1_skl = sum(n4,sum(n7,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f1197]) ).
fof(f1199,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK1_skl = sum(n4,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f1198]) ).
fof(f1200,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK1_skl = sum(n4,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f1199]) ).
fof(f1201,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK1_skl = sum(n4,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f1200]) ).
fof(f1204,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ19_spl
| sK0_skl != n9 ),
inference(backward_demodulation,[status(thm)],[f1205,f295]) ).
fof(f1205,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK1_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f75,f1201]) ).
fof(f1206,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(pred(n2),succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f232,f1180]) ).
fof(f1207,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f1206]) ).
fof(f1208,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n1,succ(n8)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f284,f1207]) ).
fof(f1209,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n1,n9),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f12,f1208]) ).
fof(f1210,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK0_skl = sum(n10,sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f46,f1209]) ).
fof(f1211,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK0_skl = sum(n10,sum(pred(n8),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f284,f1210]) ).
fof(f1212,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK0_skl = sum(n10,sum(n7,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f23,f1211]) ).
fof(f1213,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK0_skl = sum(n10,sum(n7,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f1212]) ).
fof(f1214,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK0_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f106,f1213]) ).
fof(f1215,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sK0_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f1214]) ).
fof(f1239,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ19_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f1215,f1204]) ).
fof(f1240,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1239]) ).
fof(f1241,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1240]) ).
fof(f1246,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f235,f149]) ).
fof(f1247,plain,
( ~ sQ3_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n3)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(backward_demodulation,[status(thm)],[f235,f150]) ).
fof(f1262,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(pred(n3),succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f235,f1246]) ).
fof(f1263,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(n2,succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f1262]) ).
fof(f1264,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n2,succ(n1)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f263,f1263]) ).
fof(f1265,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n2,n2),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f5,f1264]) ).
fof(f1266,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK0_skl = sum(n4,sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f50,f1265]) ).
fof(f1267,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK0_skl = sum(n4,sum(pred(n1),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f263,f1266]) ).
fof(f1268,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK0_skl = sum(n4,sum(n0,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f16,f1267]) ).
fof(f1269,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK0_skl = sum(n4,sum(n0,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f1268]) ).
fof(f1270,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK0_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f30,f1269]) ).
fof(f1271,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ12_spl
| n8 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1274,f295]) ).
fof(f1274,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK0_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f1270]) ).
fof(f1275,plain,
( ~ sQ3_spl
| sK1_skl = sum(sum(pred(n3),succ(n3)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f235,f1247]) ).
fof(f1276,plain,
( ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(n3)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f1275]) ).
fof(f1277,plain,
( ~ sQ3_spl
| sK1_skl = sum(sum(n2,n4),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f1276]) ).
fof(f1278,plain,
( ~ sQ3_spl
| sK1_skl = sum(n6,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f52,f1277]) ).
fof(f1279,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK1_skl = sum(n6,sum(pred(n1),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f263,f1278]) ).
fof(f1280,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK1_skl = sum(n6,sum(n0,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f1279]) ).
fof(f1281,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK1_skl = sum(n6,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f1280]) ).
fof(f1282,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK1_skl = sum(n6,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f1281]) ).
fof(f1283,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK1_skl = sum(n6,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f1282]) ).
fof(f1284,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sK1_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f94,f1283]) ).
fof(f1285,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ12_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f1284,f1271]) ).
fof(f1286,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1285]) ).
fof(f1287,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1286]) ).
fof(f1294,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f241,f149]) ).
fof(f1299,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(n4,succ(sK21_skl)),sum(pred(sK21_skl),n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f613]) ).
fof(f1301,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK1_skl = sum(n10,sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f269,f628]) ).
fof(f1315,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(pred(n5),succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f1294]) ).
fof(f1316,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(n4,succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f1315]) ).
fof(f1317,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n4,succ(n3)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f269,f1316]) ).
fof(f1318,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n4,n4),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f7,f1317]) ).
fof(f1319,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK0_skl = sum(n8,sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f74,f1318]) ).
fof(f1320,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK0_skl = sum(n8,sum(pred(n3),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f269,f1319]) ).
fof(f1321,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK0_skl = sum(n8,sum(n2,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f18,f1320]) ).
fof(f1322,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK0_skl = sum(n8,sum(n2,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f1321]) ).
fof(f1323,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK0_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f54,f1322]) ).
fof(f1326,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ14_spl
| n5 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1327,f295]) ).
fof(f1327,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK0_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f1323]) ).
fof(f1334,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK1_skl = sum(n10,sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f1301]) ).
fof(f1335,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK1_skl = sum(n10,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f1334]) ).
fof(f1336,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK1_skl = sum(n10,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f1335]) ).
fof(f1337,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK1_skl = sum(n10,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f1336]) ).
fof(f1338,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sK1_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f142,f1337]) ).
fof(f1362,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ14_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f1338,f1326]) ).
fof(f1363,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1362]) ).
fof(f1364,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1363]) ).
fof(f1370,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f244,f149]) ).
fof(f1376,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(n5,succ(sK21_skl)),sum(pred(sK21_skl),n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f804]) ).
fof(f1378,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK1_skl = sum(n1,sum(pred(sK21_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f275,f816]) ).
fof(f1388,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(n6),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f244,f1370]) ).
fof(f1389,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(n5,succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f1388]) ).
fof(f1390,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n5,succ(n5)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f275,f1389]) ).
fof(f1391,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n5,n6),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f9,f1390]) ).
fof(f1392,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK0_skl = sum(n0,sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f87,f1391]) ).
fof(f1393,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK0_skl = sum(n0,sum(pred(n5),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f275,f1392]) ).
fof(f1394,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK0_skl = sum(n0,sum(n4,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f20,f1393]) ).
fof(f1395,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK0_skl = sum(n0,sum(n4,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f1394]) ).
fof(f1396,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK0_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f77,f1395]) ).
fof(f1397,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ16_spl
| n0 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1400,f295]) ).
fof(f1400,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK0_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f1396]) ).
fof(f1411,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK1_skl = sum(n1,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f275,f1378]) ).
fof(f1412,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK1_skl = sum(n1,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f1411]) ).
fof(f1413,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK1_skl = sum(n1,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f1412]) ).
fof(f1414,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK1_skl = sum(n1,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f1413]) ).
fof(f1415,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sK1_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f47,f1414]) ).
fof(f1416,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ16_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f1415,f1397]) ).
fof(f1417,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1416]) ).
fof(f1418,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1417]) ).
fof(f1423,plain,
( ~ sQ9_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n9)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(backward_demodulation,[status(thm)],[f253,f150]) ).
fof(f1424,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f253,f149]) ).
fof(f1440,plain,
( ~ sQ9_spl
| sK1_skl = sum(sum(pred(n9),succ(n9)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f253,f1423]) ).
fof(f1441,plain,
( ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(n9)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f1440]) ).
fof(f1442,plain,
( ~ sQ9_spl
| sK1_skl = sum(sum(n8,n10),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f1441]) ).
fof(f1443,plain,
( ~ sQ9_spl
| sK1_skl = sum(n7,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f124,f1442]) ).
fof(f1444,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK1_skl = sum(n7,sum(pred(n7),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f281,f1443]) ).
fof(f1445,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK1_skl = sum(n7,sum(n6,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f1444]) ).
fof(f1446,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK1_skl = sum(n7,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f281,f1445]) ).
fof(f1447,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK1_skl = sum(n7,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f1446]) ).
fof(f1448,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK1_skl = sum(n7,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f1447]) ).
fof(f1451,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ18_spl
| sK0_skl != n10 ),
inference(backward_demodulation,[status(thm)],[f1452,f295]) ).
fof(f1452,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK1_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f106,f1448]) ).
fof(f1453,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(pred(n9),succ(sK21_skl)),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f253,f1424]) ).
fof(f1454,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(n8,succ(sK21_skl)),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f1453]) ).
fof(f1455,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n8,succ(n7)),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f281,f1454]) ).
fof(f1456,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n8,n8),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f11,f1455]) ).
fof(f1457,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK0_skl = sum(n5,sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f122,f1456]) ).
fof(f1458,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK0_skl = sum(n5,sum(pred(n7),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f281,f1457]) ).
fof(f1459,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK0_skl = sum(n5,sum(n6,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f22,f1458]) ).
fof(f1460,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK0_skl = sum(n5,sum(n6,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f1459]) ).
fof(f1461,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK0_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f102,f1460]) ).
fof(f1462,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sK0_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f1461]) ).
fof(f1486,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ18_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f1462,f1451]) ).
fof(f1487,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1486]) ).
fof(f1488,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1487]) ).
fof(f1496,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f229,f149]) ).
fof(f1503,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK1_skl = sum(n2,sum(pred(sK21_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f266,f462]) ).
fof(f1513,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(n1),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f229,f1496]) ).
fof(f1514,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(n0,succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f1513]) ).
fof(f1515,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n0,succ(n2)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f266,f1514]) ).
fof(f1516,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n0,n3),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f6,f1515]) ).
fof(f1517,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK0_skl = sum(n3,sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f29,f1516]) ).
fof(f1518,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK0_skl = sum(n3,sum(pred(n2),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f266,f1517]) ).
fof(f1519,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK0_skl = sum(n3,sum(n1,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f17,f1518]) ).
fof(f1520,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK0_skl = sum(n3,sum(n1,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f1519]) ).
fof(f1521,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK0_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f39,f1520]) ).
fof(f1522,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| n6 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1525,f295]) ).
fof(f1525,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK0_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f1521]) ).
fof(f1536,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK1_skl = sum(n2,sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f266,f1503]) ).
fof(f1537,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK1_skl = sum(n2,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f1536]) ).
fof(f1538,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK1_skl = sum(n2,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f1537]) ).
fof(f1539,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK1_skl = sum(n2,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f1538]) ).
fof(f1540,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sK1_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f52,f1539]) ).
fof(f1541,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f1540,f1522]) ).
fof(f1542,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1541]) ).
fof(f1543,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1542]) ).
fof(f1549,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f247,f149]) ).
fof(f1556,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(n6,succ(sK21_skl)),sum(pred(sK21_skl),n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f711]) ).
fof(f1557,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK1_skl = sum(n3,sum(pred(sK21_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f272,f703]) ).
fof(f1572,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(n7),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f1549]) ).
fof(f1573,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(n6,succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f1572]) ).
fof(f1574,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n6,succ(n4)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f272,f1573]) ).
fof(f1575,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n6,n5),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f8,f1574]) ).
fof(f1576,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK0_skl = sum(n0,sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f97,f1575]) ).
fof(f1577,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK0_skl = sum(n0,sum(pred(n4),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f272,f1576]) ).
fof(f1578,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK0_skl = sum(n0,sum(n3,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f19,f1577]) ).
fof(f1579,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK0_skl = sum(n0,sum(n3,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f1578]) ).
fof(f1580,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK0_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f67,f1579]) ).
fof(f1583,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ15_spl
| n0 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1584,f295]) ).
fof(f1584,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK0_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f1580]) ).
fof(f1585,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK1_skl = sum(n3,sum(pred(n4),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f272,f1557]) ).
fof(f1586,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK1_skl = sum(n3,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f1585]) ).
fof(f1587,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK1_skl = sum(n3,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f1586]) ).
fof(f1588,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK1_skl = sum(n3,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f1587]) ).
fof(f1589,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sK1_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f67,f1588]) ).
fof(f1619,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ15_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f1589,f1583]) ).
fof(f1620,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1619]) ).
fof(f1621,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1620]) ).
fof(f1629,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(backward_demodulation,[status(thm)],[f226,f149]) ).
fof(f1635,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK1_skl = sum(n0,sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f278,f437]) ).
fof(f1646,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(pred(n0),succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f226,f1629]) ).
fof(f1647,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(n10,succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f1646]) ).
fof(f1648,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n10,succ(n6)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f278,f1647]) ).
fof(f1649,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n10,n7),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f10,f1648]) ).
fof(f1650,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK0_skl = sum(n6,sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f143,f1649]) ).
fof(f1651,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK0_skl = sum(n6,sum(pred(n6),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f278,f1650]) ).
fof(f1652,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK0_skl = sum(n6,sum(n5,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f21,f1651]) ).
fof(f1653,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK0_skl = sum(n6,sum(n5,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f1652]) ).
fof(f1654,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK0_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f82,f1653]) ).
fof(f1655,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ17_spl
| n1 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1658,f295]) ).
fof(f1658,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK0_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f1654]) ).
fof(f1663,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK1_skl = sum(n0,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f1635]) ).
fof(f1664,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK1_skl = sum(n0,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f1663]) ).
fof(f1665,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK1_skl = sum(n0,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f1664]) ).
fof(f1666,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK1_skl = sum(n0,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f1665]) ).
fof(f1667,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sK1_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f27,f1666]) ).
fof(f1674,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ17_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f1667,f1655]) ).
fof(f1675,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1674]) ).
fof(f1676,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1675]) ).
fof(f1682,plain,
( ~ sQ8_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f250,f149]) ).
fof(f1688,plain,
( ~ sQ8_spl
| sK0_skl = sum(sum(n7,succ(sK21_skl)),sum(pred(sK21_skl),n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f913]) ).
fof(f1689,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK1_skl = sum(n5,sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f284,f902]) ).
fof(f1704,plain,
( ~ sQ8_spl
| sK0_skl = sum(sum(pred(n8),succ(sK21_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f250,f1682]) ).
fof(f1705,plain,
( ~ sQ8_spl
| sK0_skl = sum(sum(n7,succ(sK21_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f1704]) ).
fof(f1706,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n7,succ(n8)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f1705]) ).
fof(f1707,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n7,n9),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f12,f1706]) ).
fof(f1708,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK0_skl = sum(n5,sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f112,f1707]) ).
fof(f1709,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK0_skl = sum(n5,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f1708]) ).
fof(f1710,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK0_skl = sum(n5,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f1709]) ).
fof(f1711,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK0_skl = sum(n5,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f1710]) ).
fof(f1712,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK0_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f1711]) ).
fof(f1715,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ19_spl
| n10 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1716,f295]) ).
fof(f1716,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK0_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f1712]) ).
fof(f1717,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK1_skl = sum(n5,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f1689]) ).
fof(f1718,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK1_skl = sum(n5,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f1717]) ).
fof(f1719,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK1_skl = sum(n5,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f1718]) ).
fof(f1720,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK1_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f1719]) ).
fof(f1721,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sK1_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f1720]) ).
fof(f1751,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ19_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f1721,f1715]) ).
fof(f1752,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1751]) ).
fof(f1753,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1752]) ).
fof(f1759,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f238,f149]) ).
fof(f1765,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(n3,succ(sK21_skl)),sum(pred(sK21_skl),n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f1083]) ).
fof(f1766,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK1_skl = sum(n8,sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f263,f1072]) ).
fof(f1777,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(pred(n4),succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f238,f1759]) ).
fof(f1778,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(n3,succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f1777]) ).
fof(f1779,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n3,succ(n1)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f263,f1778]) ).
fof(f1780,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n3,n2),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f5,f1779]) ).
fof(f1781,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK0_skl = sum(n5,sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f61,f1780]) ).
fof(f1782,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK0_skl = sum(n5,sum(pred(n1),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f263,f1781]) ).
fof(f1783,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK0_skl = sum(n5,sum(n0,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f16,f1782]) ).
fof(f1784,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK0_skl = sum(n5,sum(n0,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f1783]) ).
fof(f1785,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK0_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f31,f1784]) ).
fof(f1786,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ12_spl
| n10 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1789,f295]) ).
fof(f1789,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK0_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f1785]) ).
fof(f1794,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK1_skl = sum(n8,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f1766]) ).
fof(f1795,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK1_skl = sum(n8,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f1794]) ).
fof(f1796,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK1_skl = sum(n8,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f1795]) ).
fof(f1797,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK1_skl = sum(n8,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f1796]) ).
fof(f1798,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sK1_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f116,f1797]) ).
fof(f1805,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ12_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f1798,f1786]) ).
fof(f1806,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1805]) ).
fof(f1807,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1806]) ).
fof(f1814,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f232,f149]) ).
fof(f1819,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(sK21_skl)),sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f1207]) ).
fof(f1820,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK1_skl = sum(n4,sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f269,f1196]) ).
fof(f1835,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(pred(n2),succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f232,f1814]) ).
fof(f1836,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f1835]) ).
fof(f1837,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n1,succ(n3)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f269,f1836]) ).
fof(f1838,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n1,n4),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f7,f1837]) ).
fof(f1839,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK0_skl = sum(n5,sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f41,f1838]) ).
fof(f1840,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK0_skl = sum(n5,sum(pred(n3),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f269,f1839]) ).
fof(f1841,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK0_skl = sum(n5,sum(n2,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f18,f1840]) ).
fof(f1842,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK0_skl = sum(n5,sum(n2,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f1841]) ).
fof(f1843,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK0_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f51,f1842]) ).
fof(f1846,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ14_spl
| n10 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1847,f295]) ).
fof(f1847,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK0_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f1843]) ).
fof(f1848,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK1_skl = sum(n4,sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f1820]) ).
fof(f1849,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK1_skl = sum(n4,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f1848]) ).
fof(f1850,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK1_skl = sum(n4,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f1849]) ).
fof(f1851,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK1_skl = sum(n4,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f1850]) ).
fof(f1852,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sK1_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f76,f1851]) ).
fof(f1882,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ14_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f1852,f1846]) ).
fof(f1883,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1882]) ).
fof(f1884,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1883]) ).
fof(f1890,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f235,f149]) ).
fof(f1896,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(n2,succ(sK21_skl)),sum(pred(sK21_skl),n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f1263]) ).
fof(f1898,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK1_skl = sum(n6,sum(pred(sK21_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f275,f1278]) ).
fof(f1908,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(pred(n3),succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f235,f1890]) ).
fof(f1909,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(n2,succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f1908]) ).
fof(f1910,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n2,succ(n5)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f275,f1909]) ).
fof(f1911,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n2,n6),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f9,f1910]) ).
fof(f1912,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK0_skl = sum(n8,sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f54,f1911]) ).
fof(f1913,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK0_skl = sum(n8,sum(pred(n5),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f275,f1912]) ).
fof(f1914,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK0_skl = sum(n8,sum(n4,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f20,f1913]) ).
fof(f1915,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK0_skl = sum(n8,sum(n4,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f1914]) ).
fof(f1916,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK0_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f74,f1915]) ).
fof(f1917,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ16_spl
| n5 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1920,f295]) ).
fof(f1920,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK0_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f1916]) ).
fof(f1931,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK1_skl = sum(n6,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f275,f1898]) ).
fof(f1932,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK1_skl = sum(n6,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f1931]) ).
fof(f1933,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK1_skl = sum(n6,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f1932]) ).
fof(f1934,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK1_skl = sum(n6,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f1933]) ).
fof(f1935,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sK1_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f102,f1934]) ).
fof(f1936,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ16_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f1935,f1917]) ).
fof(f1937,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1936]) ).
fof(f1938,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1937]) ).
fof(f1945,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f241,f149]) ).
fof(f1951,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK1_skl = sum(n10,sum(pred(sK21_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f281,f628]) ).
fof(f1966,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(pred(n5),succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f1945]) ).
fof(f1967,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(n4,succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f1966]) ).
fof(f1968,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n4,succ(n7)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f281,f1967]) ).
fof(f1969,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n4,n8),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f11,f1968]) ).
fof(f1970,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK0_skl = sum(n1,sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f78,f1969]) ).
fof(f1971,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK0_skl = sum(n1,sum(pred(n7),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f281,f1970]) ).
fof(f1972,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK0_skl = sum(n1,sum(n6,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f22,f1971]) ).
fof(f1973,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK0_skl = sum(n1,sum(n6,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f1972]) ).
fof(f1974,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK0_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f98,f1973]) ).
fof(f1977,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ18_spl
| n2 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f1978,f295]) ).
fof(f1978,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK0_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f1974]) ).
fof(f1979,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK1_skl = sum(n10,sum(pred(n7),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f281,f1951]) ).
fof(f1980,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK1_skl = sum(n10,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f1979]) ).
fof(f1981,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK1_skl = sum(n10,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f1980]) ).
fof(f1982,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK1_skl = sum(n10,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f1981]) ).
fof(f1983,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sK1_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f139,f1982]) ).
fof(f2013,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ18_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f1983,f1977]) ).
fof(f2014,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2013]) ).
fof(f2015,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2014]) ).
fof(f2021,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f244,f149]) ).
fof(f2028,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK1_skl = sum(n1,sum(pred(sK21_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f266,f816]) ).
fof(f2039,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(n6),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f244,f2021]) ).
fof(f2040,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(n5,succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f2039]) ).
fof(f2041,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n5,succ(n2)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f266,f2040]) ).
fof(f2042,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n5,n3),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f6,f2041]) ).
fof(f2043,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK0_skl = sum(n8,sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f84,f2042]) ).
fof(f2044,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK0_skl = sum(n8,sum(pred(n2),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f266,f2043]) ).
fof(f2045,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK0_skl = sum(n8,sum(n1,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f17,f2044]) ).
fof(f2046,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK0_skl = sum(n8,sum(n1,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f2045]) ).
fof(f2047,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK0_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f44,f2046]) ).
fof(f2048,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ13_spl
| n5 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2051,f295]) ).
fof(f2051,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK0_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f2047]) ).
fof(f2056,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK1_skl = sum(n1,sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f266,f2028]) ).
fof(f2057,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK1_skl = sum(n1,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f2056]) ).
fof(f2058,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK1_skl = sum(n1,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f2057]) ).
fof(f2059,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK1_skl = sum(n1,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f2058]) ).
fof(f2060,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sK1_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f41,f2059]) ).
fof(f2067,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ13_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f2060,f2048]) ).
fof(f2068,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2067]) ).
fof(f2069,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2068]) ).
fof(f2075,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f229,f149]) ).
fof(f2082,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK1_skl = sum(n2,sum(pred(sK21_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f272,f462]) ).
fof(f2097,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(n1),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f229,f2075]) ).
fof(f2098,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(n0,succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f2097]) ).
fof(f2099,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n0,succ(n4)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f272,f2098]) ).
fof(f2100,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n0,n5),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f8,f2099]) ).
fof(f2101,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK0_skl = sum(n5,sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f31,f2100]) ).
fof(f2102,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK0_skl = sum(n5,sum(pred(n4),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f272,f2101]) ).
fof(f2103,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK0_skl = sum(n5,sum(n3,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f19,f2102]) ).
fof(f2104,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK0_skl = sum(n5,sum(n3,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f2103]) ).
fof(f2105,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK0_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f61,f2104]) ).
fof(f2108,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ15_spl
| n10 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2109,f295]) ).
fof(f2109,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK0_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f2105]) ).
fof(f2110,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK1_skl = sum(n2,sum(pred(n4),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f272,f2082]) ).
fof(f2111,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK1_skl = sum(n2,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f2110]) ).
fof(f2112,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK1_skl = sum(n2,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f2111]) ).
fof(f2113,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK1_skl = sum(n2,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f2112]) ).
fof(f2114,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sK1_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f56,f2113]) ).
fof(f2144,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ15_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f2114,f2108]) ).
fof(f2145,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2144]) ).
fof(f2146,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2145]) ).
fof(f2152,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f247,f149]) ).
fof(f2160,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK1_skl = sum(n3,sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f278,f703]) ).
fof(f2170,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(n7),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f2152]) ).
fof(f2171,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(n6,succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f2170]) ).
fof(f2172,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n6,succ(n6)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f278,f2171]) ).
fof(f2173,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n6,n7),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f10,f2172]) ).
fof(f2174,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK0_skl = sum(n2,sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f99,f2173]) ).
fof(f2175,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK0_skl = sum(n2,sum(pred(n6),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f278,f2174]) ).
fof(f2176,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK0_skl = sum(n2,sum(n5,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f21,f2175]) ).
fof(f2177,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK0_skl = sum(n2,sum(n5,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f2176]) ).
fof(f2178,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK0_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f89,f2177]) ).
fof(f2179,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ17_spl
| n4 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2182,f295]) ).
fof(f2182,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK0_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f2178]) ).
fof(f2193,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK1_skl = sum(n3,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f2160]) ).
fof(f2194,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK1_skl = sum(n3,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f2193]) ).
fof(f2195,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK1_skl = sum(n3,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f2194]) ).
fof(f2196,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK1_skl = sum(n3,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f2195]) ).
fof(f2197,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sK1_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f60,f2196]) ).
fof(f2198,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ17_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f2197,f2179]) ).
fof(f2199,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2198]) ).
fof(f2200,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2199]) ).
fof(f2206,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f238,f149]) ).
fof(f2214,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK1_skl = sum(n8,sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f284,f1072]) ).
fof(f2228,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(pred(n4),succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f238,f2206]) ).
fof(f2229,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(n3,succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f2228]) ).
fof(f2230,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n3,succ(n8)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f284,f2229]) ).
fof(f2231,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n3,n9),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f12,f2230]) ).
fof(f2232,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK0_skl = sum(n1,sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f68,f2231]) ).
fof(f2233,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK0_skl = sum(n1,sum(pred(n8),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f284,f2232]) ).
fof(f2234,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK0_skl = sum(n1,sum(n7,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f23,f2233]) ).
fof(f2235,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK0_skl = sum(n1,sum(n7,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f2234]) ).
fof(f2236,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK0_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f108,f2235]) ).
fof(f2239,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ19_spl
| n2 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2240,f295]) ).
fof(f2240,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK0_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f2236]) ).
fof(f2247,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK1_skl = sum(n8,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f2214]) ).
fof(f2248,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK1_skl = sum(n8,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f2247]) ).
fof(f2249,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK1_skl = sum(n8,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f2248]) ).
fof(f2250,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK1_skl = sum(n8,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f2249]) ).
fof(f2251,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sK1_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f119,f2250]) ).
fof(f2275,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ19_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f2251,f2239]) ).
fof(f2276,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2275]) ).
fof(f2277,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2276]) ).
fof(f2283,plain,
( ~ sQ8_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f250,f149]) ).
fof(f2291,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK1_skl = sum(n5,sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f263,f902]) ).
fof(f2301,plain,
( ~ sQ8_spl
| sK0_skl = sum(sum(pred(n8),succ(sK21_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f250,f2283]) ).
fof(f2302,plain,
( ~ sQ8_spl
| sK0_skl = sum(sum(n7,succ(sK21_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f2301]) ).
fof(f2303,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n7,succ(n1)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f263,f2302]) ).
fof(f2304,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n7,n2),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f5,f2303]) ).
fof(f2305,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK0_skl = sum(n9,sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f105,f2304]) ).
fof(f2306,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK0_skl = sum(n9,sum(pred(n1),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f263,f2305]) ).
fof(f2307,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK0_skl = sum(n9,sum(n0,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f16,f2306]) ).
fof(f2308,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK0_skl = sum(n9,sum(n0,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f2307]) ).
fof(f2309,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK0_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f35,f2308]) ).
fof(f2310,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ12_spl
| n7 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2313,f295]) ).
fof(f2313,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK0_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f2309]) ).
fof(f2324,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK1_skl = sum(n5,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f2291]) ).
fof(f2325,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK1_skl = sum(n5,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f2324]) ).
fof(f2326,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK1_skl = sum(n5,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f2325]) ).
fof(f2327,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK1_skl = sum(n5,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f2326]) ).
fof(f2328,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sK1_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f83,f2327]) ).
fof(f2329,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ12_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f2328,f2310]) ).
fof(f2330,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2329]) ).
fof(f2331,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2330]) ).
fof(f2337,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f235,f149]) ).
fof(f2344,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK1_skl = sum(n6,sum(pred(sK21_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f266,f1278]) ).
fof(f2359,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(pred(n3),succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f235,f2337]) ).
fof(f2360,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(n2,succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f2359]) ).
fof(f2361,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n2,succ(n2)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f266,f2360]) ).
fof(f2362,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n2,n3),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f6,f2361]) ).
fof(f2363,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK0_skl = sum(n5,sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f51,f2362]) ).
fof(f2364,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK0_skl = sum(n5,sum(pred(n2),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f266,f2363]) ).
fof(f2365,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK0_skl = sum(n5,sum(n1,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f17,f2364]) ).
fof(f2366,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK0_skl = sum(n5,sum(n1,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f2365]) ).
fof(f2367,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK0_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f41,f2366]) ).
fof(f2370,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ13_spl
| n10 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2371,f295]) ).
fof(f2371,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK0_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f2367]) ).
fof(f2372,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK1_skl = sum(n6,sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f266,f2344]) ).
fof(f2373,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK1_skl = sum(n6,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f2372]) ).
fof(f2374,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK1_skl = sum(n6,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f2373]) ).
fof(f2375,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK1_skl = sum(n6,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f2374]) ).
fof(f2376,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sK1_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f96,f2375]) ).
fof(f2406,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ13_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f2376,f2370]) ).
fof(f2407,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2406]) ).
fof(f2408,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2407]) ).
fof(f2415,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f244,f149]) ).
fof(f2422,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK1_skl = sum(n1,sum(pred(sK21_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f272,f816]) ).
fof(f2432,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(n6),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f244,f2415]) ).
fof(f2433,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(n5,succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f2432]) ).
fof(f2434,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n5,succ(n4)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f272,f2433]) ).
fof(f2435,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n5,n5),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f8,f2434]) ).
fof(f2436,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK0_skl = sum(n10,sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f86,f2435]) ).
fof(f2437,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK0_skl = sum(n10,sum(pred(n4),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f272,f2436]) ).
fof(f2438,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK0_skl = sum(n10,sum(n3,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f19,f2437]) ).
fof(f2439,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK0_skl = sum(n10,sum(n3,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f2438]) ).
fof(f2440,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK0_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f66,f2439]) ).
fof(f2441,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ15_spl
| n9 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2444,f295]) ).
fof(f2444,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK0_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f2440]) ).
fof(f2455,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK1_skl = sum(n1,sum(pred(n4),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f272,f2422]) ).
fof(f2456,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK1_skl = sum(n1,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f2455]) ).
fof(f2457,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK1_skl = sum(n1,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f2456]) ).
fof(f2458,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK1_skl = sum(n1,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f2457]) ).
fof(f2459,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sK1_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f45,f2458]) ).
fof(f2460,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ15_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f2459,f2441]) ).
fof(f2461,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2460]) ).
fof(f2462,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2461]) ).
fof(f2472,plain,
( ~ sQ13_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f266,f150]) ).
fof(f2473,plain,
( ~ sQ13_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n2),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f266,f149]) ).
fof(f2483,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n8,succ(n2)),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f266,f1454]) ).
fof(f2484,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n8,n3),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f6,f2483]) ).
fof(f2485,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK0_skl = sum(n0,sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f117,f2484]) ).
fof(f2486,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK0_skl = sum(n0,sum(pred(n2),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f266,f2485]) ).
fof(f2487,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK0_skl = sum(n0,sum(n1,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f17,f2486]) ).
fof(f2488,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK0_skl = sum(n0,sum(n1,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f2487]) ).
fof(f2489,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK0_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f47,f2488]) ).
fof(f2492,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ13_spl
| n0 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2493,f295]) ).
fof(f2493,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK0_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f2489]) ).
fof(f2494,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK1_skl = sum(n7,sum(pred(n2),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f266,f1443]) ).
fof(f2495,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK1_skl = sum(n7,sum(n1,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f2494]) ).
fof(f2496,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK1_skl = sum(n7,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f266,f2495]) ).
fof(f2497,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK1_skl = sum(n7,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f2496]) ).
fof(f2498,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK1_skl = sum(n7,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f2497]) ).
fof(f2499,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sK1_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f107,f2498]) ).
fof(f2544,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ13_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f2499,f2492]) ).
fof(f2545,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2544]) ).
fof(f2546,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2545]) ).
fof(f2548,plain,
( ~ sQ18_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n7),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f281,f149]) ).
fof(f2549,plain,
( ~ sQ18_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f281,f150]) ).
fof(f2567,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK1_skl = sum(n0,sum(pred(n7),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f281,f437]) ).
fof(f2568,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK1_skl = sum(n0,sum(n6,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f2567]) ).
fof(f2569,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK1_skl = sum(n0,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f281,f2568]) ).
fof(f2570,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK1_skl = sum(n0,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f2569]) ).
fof(f2571,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK1_skl = sum(n0,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f2570]) ).
fof(f2572,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ18_spl
| sK0_skl != n3 ),
inference(backward_demodulation,[status(thm)],[f2575,f295]) ).
fof(f2575,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK1_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f29,f2571]) ).
fof(f2576,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n10,succ(n7)),sum(pred(sK21_skl),n1)) ),
inference(forward_demodulation,[status(thm)],[f281,f969]) ).
fof(f2577,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n10,n8),sum(pred(sK21_skl),n1)) ),
inference(forward_demodulation,[status(thm)],[f11,f2576]) ).
fof(f2578,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK0_skl = sum(n7,sum(pred(sK21_skl),n1)) ),
inference(forward_demodulation,[status(thm)],[f144,f2577]) ).
fof(f2579,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK0_skl = sum(n7,sum(pred(n7),n1)) ),
inference(forward_demodulation,[status(thm)],[f281,f2578]) ).
fof(f2580,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK0_skl = sum(n7,sum(n6,n1)) ),
inference(forward_demodulation,[status(thm)],[f22,f2579]) ).
fof(f2581,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK0_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f93,f2580]) ).
fof(f2582,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sK0_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f2581]) ).
fof(f2611,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ18_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f2582,f2572]) ).
fof(f2612,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2611]) ).
fof(f2613,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2612]) ).
fof(f2622,plain,
( ~ sQ16_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f275,f150]) ).
fof(f2623,plain,
( ~ sQ16_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n5),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f275,f149]) ).
fof(f2634,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK1_skl = sum(n4,sum(pred(n5),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f275,f1196]) ).
fof(f2635,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK1_skl = sum(n4,sum(n4,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f2634]) ).
fof(f2636,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK1_skl = sum(n4,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f275,f2635]) ).
fof(f2637,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK1_skl = sum(n4,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f2636]) ).
fof(f2638,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK1_skl = sum(n4,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f2637]) ).
fof(f2641,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ16_spl
| sK0_skl != n3 ),
inference(backward_demodulation,[status(thm)],[f2642,f295]) ).
fof(f2642,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK1_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f80,f2638]) ).
fof(f2643,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n1,succ(n5)),sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f275,f1819]) ).
fof(f2644,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n1,n6),sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f9,f2643]) ).
fof(f2645,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK0_skl = sum(n7,sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f43,f2644]) ).
fof(f2646,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK0_skl = sum(n7,sum(pred(n5),n3)) ),
inference(forward_demodulation,[status(thm)],[f275,f2645]) ).
fof(f2647,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK0_skl = sum(n7,sum(n4,n3)) ),
inference(forward_demodulation,[status(thm)],[f20,f2646]) ).
fof(f2648,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK0_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f73,f2647]) ).
fof(f2649,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sK0_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f2648]) ).
fof(f2701,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ16_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f2649,f2641]) ).
fof(f2702,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2701]) ).
fof(f2703,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f2702]) ).
fof(f2713,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f229,f149]) ).
fof(f2717,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK1_skl = sum(n2,sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f278,f462]) ).
fof(f2727,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(n1),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f229,f2713]) ).
fof(f2728,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(n0,succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f2727]) ).
fof(f2729,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n0,succ(n6)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f278,f2728]) ).
fof(f2730,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n0,n7),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f10,f2729]) ).
fof(f2731,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK0_skl = sum(n7,sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f33,f2730]) ).
fof(f2732,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK0_skl = sum(n7,sum(pred(n6),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f278,f2731]) ).
fof(f2733,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK0_skl = sum(n7,sum(n5,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f21,f2732]) ).
fof(f2734,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK0_skl = sum(n7,sum(n5,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f2733]) ).
fof(f2735,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK0_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f83,f2734]) ).
fof(f2736,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ17_spl
| n3 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2739,f295]) ).
fof(f2739,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK0_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f2735]) ).
fof(f2750,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK1_skl = sum(n2,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f2717]) ).
fof(f2751,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK1_skl = sum(n2,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f2750]) ).
fof(f2752,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK1_skl = sum(n2,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f2751]) ).
fof(f2753,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK1_skl = sum(n2,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f2752]) ).
fof(f2754,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sK1_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f49,f2753]) ).
fof(f2755,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ17_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f2754,f2736]) ).
fof(f2756,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2755]) ).
fof(f2757,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2756]) ).
fof(f2760,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f247,f149]) ).
fof(f2770,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK1_skl = sum(n3,sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f269,f703]) ).
fof(f2785,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(n7),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f2760]) ).
fof(f2786,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(n6,succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f2785]) ).
fof(f2787,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n6,succ(n3)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f269,f2786]) ).
fof(f2788,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n6,n4),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f7,f2787]) ).
fof(f2789,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK0_skl = sum(n10,sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f96,f2788]) ).
fof(f2790,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK0_skl = sum(n10,sum(pred(n3),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f269,f2789]) ).
fof(f2791,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK0_skl = sum(n10,sum(n2,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f18,f2790]) ).
fof(f2792,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK0_skl = sum(n10,sum(n2,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f2791]) ).
fof(f2793,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK0_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f56,f2792]) ).
fof(f2796,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ14_spl
| n9 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2797,f295]) ).
fof(f2797,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK0_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f2793]) ).
fof(f2798,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK1_skl = sum(n3,sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f2770]) ).
fof(f2799,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK1_skl = sum(n3,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f2798]) ).
fof(f2800,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK1_skl = sum(n3,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f2799]) ).
fof(f2801,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK1_skl = sum(n3,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f2800]) ).
fof(f2802,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sK1_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f65,f2801]) ).
fof(f2832,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ14_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f2802,f2796]) ).
fof(f2833,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2832]) ).
fof(f2834,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2833]) ).
fof(f2843,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f241,f149]) ).
fof(f2848,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK1_skl = sum(n10,sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f284,f628]) ).
fof(f2858,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(pred(n5),succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f2843]) ).
fof(f2859,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(n4,succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f2858]) ).
fof(f2860,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n4,succ(n8)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f284,f2859]) ).
fof(f2861,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n4,n9),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f12,f2860]) ).
fof(f2862,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK0_skl = sum(n2,sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f79,f2861]) ).
fof(f2863,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK0_skl = sum(n2,sum(pred(n8),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f284,f2862]) ).
fof(f2864,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK0_skl = sum(n2,sum(n7,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f23,f2863]) ).
fof(f2865,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK0_skl = sum(n2,sum(n7,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f2864]) ).
fof(f2866,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK0_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f109,f2865]) ).
fof(f2867,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ19_spl
| n4 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2870,f295]) ).
fof(f2870,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK0_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f2866]) ).
fof(f2881,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK1_skl = sum(n10,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f2848]) ).
fof(f2882,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK1_skl = sum(n10,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f2881]) ).
fof(f2883,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK1_skl = sum(n10,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f2882]) ).
fof(f2884,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK1_skl = sum(n10,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f2883]) ).
fof(f2885,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sK1_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f141,f2884]) ).
fof(f2886,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ19_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f2885,f2867]) ).
fof(f2887,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2886]) ).
fof(f2888,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2887]) ).
fof(f2892,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f238,f149]) ).
fof(f2901,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK1_skl = sum(n8,sum(pred(sK21_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f287,f1072]) ).
fof(f2917,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(pred(n4),succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f238,f2892]) ).
fof(f2918,plain,
( ~ sQ4_spl
| sK0_skl = sum(sum(n3,succ(sK21_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f2917]) ).
fof(f2919,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n3,succ(n9)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f287,f2918]) ).
fof(f2920,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n3,n10),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f13,f2919]) ).
fof(f2921,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK0_skl = sum(n2,sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f69,f2920]) ).
fof(f2922,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK0_skl = sum(n2,sum(pred(n9),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f287,f2921]) ).
fof(f2923,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK0_skl = sum(n2,sum(n8,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f24,f2922]) ).
fof(f2924,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK0_skl = sum(n2,sum(n8,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f2923]) ).
fof(f2925,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK0_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f119,f2924]) ).
fof(f2928,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ20_spl
| n4 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2929,f295]) ).
fof(f2929,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK0_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f2925]) ).
fof(f2930,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK1_skl = sum(n8,sum(pred(n9),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f287,f2901]) ).
fof(f2931,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK1_skl = sum(n8,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f2930]) ).
fof(f2932,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK1_skl = sum(n8,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f2931]) ).
fof(f2933,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK1_skl = sum(n8,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f2932]) ).
fof(f2934,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sK1_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f121,f2933]) ).
fof(f2964,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ20_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f2934,f2928]) ).
fof(f2965,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2964]) ).
fof(f2966,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2965]) ).
fof(f2967,plain,
( ~ sQ20_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(n9),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f287,f150]) ).
fof(f2968,plain,
( ~ sQ20_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n8,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f2967]) ).
fof(f2969,plain,
( ~ sQ20_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f287,f2968]) ).
fof(f2970,plain,
( ~ sQ20_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f2969]) ).
fof(f2971,plain,
( ~ sQ20_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f124,f2970]) ).
fof(f2972,plain,
( ~ sQ20_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(n9)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f287,f149]) ).
fof(f2973,plain,
( ~ sQ20_spl
| sK0_skl = sum(sum(pred(sK20_skl),n10),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f2972]) ).
fof(f2974,plain,
( ~ sQ20_spl
| sK0_skl = sum(sum(pred(sK20_skl),n10),sum(pred(n9),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f287,f2973]) ).
fof(f2975,plain,
( ~ sQ20_spl
| sK0_skl = sum(sum(pred(sK20_skl),n10),sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f2974]) ).
fof(f2987,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n7,succ(n9)),sum(pred(sK21_skl),n9)) ),
inference(forward_demodulation,[status(thm)],[f287,f1688]) ).
fof(f2988,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n7,n10),sum(pred(sK21_skl),n9)) ),
inference(forward_demodulation,[status(thm)],[f13,f2987]) ).
fof(f2989,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK0_skl = sum(n6,sum(pred(sK21_skl),n9)) ),
inference(forward_demodulation,[status(thm)],[f113,f2988]) ).
fof(f2990,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK0_skl = sum(n6,sum(pred(n9),n9)) ),
inference(forward_demodulation,[status(thm)],[f287,f2989]) ).
fof(f2991,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK0_skl = sum(n6,sum(n8,n9)) ),
inference(forward_demodulation,[status(thm)],[f24,f2990]) ).
fof(f2992,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK0_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f123,f2991]) ).
fof(f2993,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ20_spl
| n1 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f2996,f295]) ).
fof(f2996,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK0_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f2992]) ).
fof(f2997,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK1_skl = sum(n5,sum(pred(n9),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f287,f902]) ).
fof(f2998,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK1_skl = sum(n5,sum(n8,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f2997]) ).
fof(f2999,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK1_skl = sum(n5,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f287,f2998]) ).
fof(f3000,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK1_skl = sum(n5,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f2999]) ).
fof(f3001,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK1_skl = sum(n5,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f3000]) ).
fof(f3002,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sK1_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f88,f3001]) ).
fof(f3022,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ20_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f3002,f2993]) ).
fof(f3023,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3022]) ).
fof(f3024,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3023]) ).
fof(f3034,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(n8,succ(sK21_skl)),sum(pred(sK21_skl),n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f1454]) ).
fof(f3036,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK1_skl = sum(n7,sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f263,f1443]) ).
fof(f3037,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(pred(n9),succ(sK21_skl)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f253,f149]) ).
fof(f3038,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(n8,succ(sK21_skl)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f3037]) ).
fof(f3039,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n8,succ(n1)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f263,f3038]) ).
fof(f3040,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n8,n2),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f3039]) ).
fof(f3041,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK0_skl = sum(n10,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f116,f3040]) ).
fof(f3042,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK0_skl = sum(n10,sum(pred(n1),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f263,f3041]) ).
fof(f3043,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK0_skl = sum(n10,sum(n0,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f3042]) ).
fof(f3044,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK0_skl = sum(n10,sum(n0,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f253,f3043]) ).
fof(f3045,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK0_skl = sum(n10,sum(n0,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f3044]) ).
fof(f3046,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK0_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f36,f3045]) ).
fof(f3049,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ12_spl
| n9 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f3050,f295]) ).
fof(f3050,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK0_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f3046]) ).
fof(f3072,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK1_skl = sum(n7,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f3036]) ).
fof(f3073,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK1_skl = sum(n7,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f3072]) ).
fof(f3074,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK1_skl = sum(n7,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f3073]) ).
fof(f3075,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK1_skl = sum(n7,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f3074]) ).
fof(f3076,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sK1_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f105,f3075]) ).
fof(f3100,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ12_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f3076,f3049]) ).
fof(f3101,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3100]) ).
fof(f3102,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f3101]) ).
fof(f3103,plain,
( ~ sQ15_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n4),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f272,f149]) ).
fof(f3104,plain,
( ~ sQ15_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f272,f150]) ).
fof(f3123,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n10,succ(n4)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f272,f1647]) ).
fof(f3124,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n10,n5),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f8,f3123]) ).
fof(f3125,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK0_skl = sum(n4,sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f141,f3124]) ).
fof(f3126,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK0_skl = sum(n4,sum(pred(n4),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f272,f3125]) ).
fof(f3127,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK0_skl = sum(n4,sum(n3,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f19,f3126]) ).
fof(f3128,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK0_skl = sum(n4,sum(n3,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f3127]) ).
fof(f3129,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK0_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f60,f3128]) ).
fof(f3130,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ15_spl
| n8 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f3133,f295]) ).
fof(f3133,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK0_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f3129]) ).
fof(f3141,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK1_skl = sum(n0,sum(pred(n4),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f272,f437]) ).
fof(f3142,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK1_skl = sum(n0,sum(n3,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f3141]) ).
fof(f3143,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK1_skl = sum(n0,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f272,f3142]) ).
fof(f3144,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK1_skl = sum(n0,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f3143]) ).
fof(f3145,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK1_skl = sum(n0,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f3144]) ).
fof(f3146,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sK1_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f34,f3145]) ).
fof(f3167,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ15_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f3146,f3130]) ).
fof(f3168,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3167]) ).
fof(f3169,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3168]) ).
fof(f3179,plain,
( ~ sQ2_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n2)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(backward_demodulation,[status(thm)],[f232,f150]) ).
fof(f3180,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f232,f149]) ).
fof(f3181,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(sK21_skl)),sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f1836]) ).
fof(f3193,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(pred(n2),succ(sK20_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f232,f2549]) ).
fof(f3194,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(n1,succ(sK20_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f17,f3193]) ).
fof(f3195,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(n1,succ(n2)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f232,f3194]) ).
fof(f3196,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(n1,n3),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f6,f3195]) ).
fof(f3197,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK1_skl = sum(n4,sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f40,f3196]) ).
fof(f3198,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK1_skl = sum(n4,sum(pred(n7),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f281,f3197]) ).
fof(f3199,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK1_skl = sum(n4,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f3198]) ).
fof(f3200,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK1_skl = sum(n4,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f3199]) ).
fof(f3201,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK1_skl = sum(n4,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f3200]) ).
fof(f3204,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ2_spl
| sK0_skl != n7 ),
inference(backward_demodulation,[status(thm)],[f3205,f295]) ).
fof(f3205,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK1_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f73,f3201]) ).
fof(f3206,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK0_skl = sum(sum(pred(n2),succ(sK21_skl)),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f232,f2548]) ).
fof(f3207,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(sK21_skl)),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f3206]) ).
fof(f3208,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(n7)),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f281,f3207]) ).
fof(f3209,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK0_skl = sum(sum(n1,n8),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f3208]) ).
fof(f3210,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK0_skl = sum(n9,sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f45,f3209]) ).
fof(f3211,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK0_skl = sum(n9,sum(n6,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f3210]) ).
fof(f3212,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK0_skl = sum(n9,sum(n6,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f232,f3211]) ).
fof(f3213,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK0_skl = sum(n9,sum(n6,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f3212]) ).
fof(f3214,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK0_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f95,f3213]) ).
fof(f3215,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| sK0_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f3214]) ).
fof(f3266,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ2_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f3215,f3204]) ).
fof(f3267,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3266]) ).
fof(f3268,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f3267]) ).
fof(f3293,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(pred(n9),succ(sK21_skl)),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f253,f2623]) ).
fof(f3294,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(n8,succ(sK21_skl)),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f3293]) ).
fof(f3295,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(n8,succ(n5)),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f275,f3294]) ).
fof(f3296,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(n8,n6),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f3295]) ).
fof(f3297,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK0_skl = sum(n3,sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f120,f3296]) ).
fof(f3298,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK0_skl = sum(n3,sum(n4,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f3297]) ).
fof(f3299,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK0_skl = sum(n3,sum(n4,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f253,f3298]) ).
fof(f3300,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK0_skl = sum(n3,sum(n4,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f3299]) ).
fof(f3301,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK0_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f80,f3300]) ).
fof(f3302,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ9_spl
| n6 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f3305,f295]) ).
fof(f3305,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK0_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f3301]) ).
fof(f3306,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(pred(n9),succ(sK20_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f253,f2622]) ).
fof(f3307,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(sK20_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f24,f3306]) ).
fof(f3308,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(n9)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f253,f3307]) ).
fof(f3309,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,n10),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f13,f3308]) ).
fof(f3310,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f124,f3309]) ).
fof(f3311,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f275,f3310]) ).
fof(f3312,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f3311]) ).
fof(f3313,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f3312]) ).
fof(f3314,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f3313]) ).
fof(f3315,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| sK1_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f113,f3314]) ).
fof(f3344,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ9_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f3315,f3302]) ).
fof(f3345,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3344]) ).
fof(f3346,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f3345]) ).
fof(f3356,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f235,f149]) ).
fof(f3360,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK1_skl = sum(n6,sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f269,f1278]) ).
fof(f3374,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(pred(n3),succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f235,f3356]) ).
fof(f3375,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(n2,succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f3374]) ).
fof(f3376,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n2,succ(n3)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f3375]) ).
fof(f3377,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n2,n4),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f7,f3376]) ).
fof(f3378,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK0_skl = sum(n6,sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f52,f3377]) ).
fof(f3379,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK0_skl = sum(n6,sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f3378]) ).
fof(f3380,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK0_skl = sum(n6,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f3379]) ).
fof(f3381,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK0_skl = sum(n6,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f3380]) ).
fof(f3382,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK0_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f3381]) ).
fof(f3385,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ14_spl
| n1 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f3386,f295]) ).
fof(f3386,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK0_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f3382]) ).
fof(f3393,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK1_skl = sum(n6,sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f3360]) ).
fof(f3394,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK1_skl = sum(n6,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f3393]) ).
fof(f3395,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK1_skl = sum(n6,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f3394]) ).
fof(f3396,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK1_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f3395]) ).
fof(f3397,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sK1_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f3396]) ).
fof(f3421,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ14_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f3397,f3385]) ).
fof(f3422,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3421]) ).
fof(f3423,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3422]) ).
fof(f3426,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f244,f149]) ).
fof(f3436,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK1_skl = sum(n1,sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f284,f816]) ).
fof(f3447,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(n6),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f244,f3426]) ).
fof(f3448,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(n5,succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f3447]) ).
fof(f3449,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n5,succ(n8)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f284,f3448]) ).
fof(f3450,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n5,n9),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f12,f3449]) ).
fof(f3451,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK0_skl = sum(n3,sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f90,f3450]) ).
fof(f3452,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK0_skl = sum(n3,sum(pred(n8),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f284,f3451]) ).
fof(f3453,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK0_skl = sum(n3,sum(n7,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f23,f3452]) ).
fof(f3454,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK0_skl = sum(n3,sum(n7,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f3453]) ).
fof(f3455,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK0_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f110,f3454]) ).
fof(f3456,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ19_spl
| n6 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f3459,f295]) ).
fof(f3459,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK0_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f3455]) ).
fof(f3464,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK1_skl = sum(n1,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f3436]) ).
fof(f3465,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK1_skl = sum(n1,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f3464]) ).
fof(f3466,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK1_skl = sum(n1,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f3465]) ).
fof(f3467,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK1_skl = sum(n1,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f3466]) ).
fof(f3468,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sK1_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f42,f3467]) ).
fof(f3475,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ19_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f3468,f3456]) ).
fof(f3476,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3475]) ).
fof(f3477,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3476]) ).
fof(f3486,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f241,f149]) ).
fof(f3490,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK1_skl = sum(n10,sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f278,f628]) ).
fof(f3505,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(pred(n5),succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f3486]) ).
fof(f3506,plain,
( ~ sQ5_spl
| sK0_skl = sum(sum(n4,succ(sK21_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f3505]) ).
fof(f3507,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n4,succ(n6)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f278,f3506]) ).
fof(f3508,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n4,n7),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f10,f3507]) ).
fof(f3509,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK0_skl = sum(n0,sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f77,f3508]) ).
fof(f3510,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK0_skl = sum(n0,sum(pred(n6),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f278,f3509]) ).
fof(f3511,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK0_skl = sum(n0,sum(n5,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f21,f3510]) ).
fof(f3512,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK0_skl = sum(n0,sum(n5,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f3511]) ).
fof(f3513,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK0_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f87,f3512]) ).
fof(f3516,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ17_spl
| n0 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f3517,f295]) ).
fof(f3517,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK0_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f3513]) ).
fof(f3518,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK1_skl = sum(n10,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f3490]) ).
fof(f3519,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK1_skl = sum(n10,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f3518]) ).
fof(f3520,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK1_skl = sum(n10,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f3519]) ).
fof(f3521,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK1_skl = sum(n10,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f3520]) ).
fof(f3522,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sK1_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f137,f3521]) ).
fof(f3552,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ17_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f3522,f3516]) ).
fof(f3553,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3552]) ).
fof(f3554,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f3553]) ).
fof(f3578,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(pred(n1),n10),sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f229,f2975]) ).
fof(f3579,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(n0,n10),sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f3578]) ).
fof(f3580,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK0_skl = sum(n10,sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f36,f3579]) ).
fof(f3581,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK0_skl = sum(n10,sum(n8,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f229,f3580]) ).
fof(f3582,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK0_skl = sum(n10,sum(n8,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f3581]) ).
fof(f3583,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK0_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f116,f3582]) ).
fof(f3584,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ1_spl
| n9 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f3587,f295]) ).
fof(f3587,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK0_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f3583]) ).
fof(f3588,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(pred(n1),succ(sK20_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f229,f2971]) ).
fof(f3589,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,succ(sK20_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f16,f3588]) ).
fof(f3590,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,succ(n1)),n7) ),
inference(forward_demodulation,[status(thm)],[f229,f3589]) ).
fof(f3591,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,n2),n7) ),
inference(forward_demodulation,[status(thm)],[f5,f3590]) ).
fof(f3592,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,n7) ),
inference(forward_demodulation,[status(thm)],[f28,f3591]) ).
fof(f3593,plain,
( ~ sQ20_spl
| ~ sQ1_spl
| sK1_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f55,f3592]) ).
fof(f3622,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ1_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f3593,f3584]) ).
fof(f3623,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3622]) ).
fof(f3624,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f3623]) ).
fof(f3627,plain,
( ~ sQ13_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(n2)),sum(pred(n2),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f266,f2473]) ).
fof(f3628,plain,
( ~ sQ13_spl
| sK0_skl = sum(sum(pred(sK20_skl),n3),sum(pred(n2),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f3627]) ).
fof(f3629,plain,
( ~ sQ13_spl
| sK0_skl = sum(sum(pred(sK20_skl),n3),sum(n1,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f3628]) ).
fof(f3630,plain,
( ~ sQ13_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f266,f2472]) ).
fof(f3631,plain,
( ~ sQ13_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f3630]) ).
fof(f3632,plain,
( ~ sQ13_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f3631]) ).
fof(f3633,plain,
( ~ sQ13_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),n4) ),
inference(forward_demodulation,[status(thm)],[f40,f3632]) ).
fof(f3645,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK1_skl = sum(n4,sum(pred(n2),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f266,f1196]) ).
fof(f3646,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK1_skl = sum(n4,sum(n1,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f3645]) ).
fof(f3647,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK1_skl = sum(n4,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f266,f3646]) ).
fof(f3648,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK1_skl = sum(n4,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f3647]) ).
fof(f3649,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK1_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f3648]) ).
fof(f3652,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ13_spl
| sK0_skl != n8 ),
inference(backward_demodulation,[status(thm)],[f3653,f295]) ).
fof(f3653,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK1_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f3649]) ).
fof(f3654,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n1,succ(n2)),sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f266,f3181]) ).
fof(f3655,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n1,n3),sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f3654]) ).
fof(f3656,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK0_skl = sum(n4,sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f40,f3655]) ).
fof(f3657,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK0_skl = sum(n4,sum(pred(n2),n3)) ),
inference(forward_demodulation,[status(thm)],[f266,f3656]) ).
fof(f3658,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK0_skl = sum(n4,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f17,f3657]) ).
fof(f3659,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK0_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f3658]) ).
fof(f3660,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sK0_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f3659]) ).
fof(f3744,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ13_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f3660,f3652]) ).
fof(f3745,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3744]) ).
fof(f3746,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f3745]) ).
fof(f3770,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(pred(n7),succ(sK20_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f247,f2971]) ).
fof(f3771,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,succ(sK20_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f22,f3770]) ).
fof(f3772,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,succ(n7)),n7) ),
inference(forward_demodulation,[status(thm)],[f247,f3771]) ).
fof(f3773,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,n8),n7) ),
inference(forward_demodulation,[status(thm)],[f11,f3772]) ).
fof(f3774,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,n7) ),
inference(forward_demodulation,[status(thm)],[f100,f3773]) ).
fof(f3775,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ7_spl
| sK0_skl != n10 ),
inference(backward_demodulation,[status(thm)],[f3778,f295]) ).
fof(f3778,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK1_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f66,f3774]) ).
fof(f3779,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(pred(n7),n10),sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f247,f2975]) ).
fof(f3780,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(n6,n10),sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f3779]) ).
fof(f3781,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK0_skl = sum(n5,sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f102,f3780]) ).
fof(f3782,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK0_skl = sum(n5,sum(n8,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f3781]) ).
fof(f3783,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK0_skl = sum(n5,sum(n8,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f3782]) ).
fof(f3784,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK0_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f122,f3783]) ).
fof(f3785,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| sK0_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f3784]) ).
fof(f3814,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ7_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f3785,f3775]) ).
fof(f3815,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3814]) ).
fof(f3816,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f3815]) ).
fof(f3817,plain,
( ~ sQ14_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f269,f150]) ).
fof(f3818,plain,
( ~ sQ14_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n3),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f269,f149]) ).
fof(f3828,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK1_skl = sum(n0,sum(pred(n3),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f269,f437]) ).
fof(f3829,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK1_skl = sum(n0,sum(n2,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f3828]) ).
fof(f3830,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK1_skl = sum(n0,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f3829]) ).
fof(f3831,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK1_skl = sum(n0,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f3830]) ).
fof(f3832,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK1_skl = sum(n0,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f3831]) ).
fof(f3835,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ14_spl
| sK0_skl != n6 ),
inference(backward_demodulation,[status(thm)],[f3836,f295]) ).
fof(f3836,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK1_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f32,f3832]) ).
fof(f3837,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n10,succ(n3)),sum(pred(sK21_skl),n1)) ),
inference(forward_demodulation,[status(thm)],[f269,f969]) ).
fof(f3838,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n10,n4),sum(pred(sK21_skl),n1)) ),
inference(forward_demodulation,[status(thm)],[f7,f3837]) ).
fof(f3839,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK0_skl = sum(n3,sum(pred(sK21_skl),n1)) ),
inference(forward_demodulation,[status(thm)],[f140,f3838]) ).
fof(f3840,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK0_skl = sum(n3,sum(pred(n3),n1)) ),
inference(forward_demodulation,[status(thm)],[f269,f3839]) ).
fof(f3841,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK0_skl = sum(n3,sum(n2,n1)) ),
inference(forward_demodulation,[status(thm)],[f18,f3840]) ).
fof(f3842,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK0_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f49,f3841]) ).
fof(f3843,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sK0_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f3842]) ).
fof(f3904,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ14_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f3843,f3835]) ).
fof(f3905,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3904]) ).
fof(f3906,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3905]) ).
fof(f3908,plain,
( ~ sQ7_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n7)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(backward_demodulation,[status(thm)],[f247,f150]) ).
fof(f3936,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(pred(n7),succ(sK21_skl)),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f247,f2548]) ).
fof(f3937,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(n6,succ(sK21_skl)),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f3936]) ).
fof(f3938,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(n6,succ(n7)),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f281,f3937]) ).
fof(f3939,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(n6,n8),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f3938]) ).
fof(f3940,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK0_skl = sum(n3,sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f3939]) ).
fof(f3941,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK0_skl = sum(n3,sum(n6,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f3940]) ).
fof(f3942,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK0_skl = sum(n3,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f3941]) ).
fof(f3943,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK0_skl = sum(n3,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f3942]) ).
fof(f3944,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK0_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f3943]) ).
fof(f3945,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ7_spl
| n6 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f3948,f295]) ).
fof(f3948,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK0_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f3944]) ).
fof(f3949,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(pred(n7),succ(sK20_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f2549]) ).
fof(f3950,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,succ(sK20_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f3949]) ).
fof(f3951,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,succ(n7)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f3950]) ).
fof(f3952,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,n8),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f11,f3951]) ).
fof(f3953,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f100,f3952]) ).
fof(f3954,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,sum(pred(n7),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f281,f3953]) ).
fof(f3955,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f3954]) ).
fof(f3956,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f3955]) ).
fof(f3957,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f3956]) ).
fof(f3958,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sK1_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f3957]) ).
fof(f3986,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ7_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f3958,f3945]) ).
fof(f3987,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3986]) ).
fof(f3988,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f3987]) ).
fof(f4018,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(pred(n1),succ(sK20_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f229,f2622]) ).
fof(f4019,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,succ(sK20_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f16,f4018]) ).
fof(f4020,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,succ(n1)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f229,f4019]) ).
fof(f4021,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,n2),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f5,f4020]) ).
fof(f4022,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f28,f4021]) ).
fof(f4023,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f275,f4022]) ).
fof(f4024,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f4023]) ).
fof(f4025,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f4024]) ).
fof(f4026,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f4025]) ).
fof(f4029,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ1_spl
| sK0_skl != n1 ),
inference(backward_demodulation,[status(thm)],[f4030,f295]) ).
fof(f4030,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK1_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f58,f4026]) ).
fof(f4031,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(pred(n1),succ(sK21_skl)),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f229,f2623]) ).
fof(f4032,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(n0,succ(sK21_skl)),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f4031]) ).
fof(f4033,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(n0,succ(n5)),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f275,f4032]) ).
fof(f4034,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(n0,n6),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f4033]) ).
fof(f4035,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK0_skl = sum(n6,sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f32,f4034]) ).
fof(f4036,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK0_skl = sum(n6,sum(n4,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f4035]) ).
fof(f4037,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK0_skl = sum(n6,sum(n4,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f229,f4036]) ).
fof(f4038,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK0_skl = sum(n6,sum(n4,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f4037]) ).
fof(f4039,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK0_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f72,f4038]) ).
fof(f4040,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sK0_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f4039]) ).
fof(f4091,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ1_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f4040,f4029]) ).
fof(f4092,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4091]) ).
fof(f4093,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f4092]) ).
fof(f4117,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK0_skl = sum(sum(pred(n6),n10),sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f244,f2975]) ).
fof(f4118,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK0_skl = sum(sum(n5,n10),sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f4117]) ).
fof(f4119,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK0_skl = sum(n4,sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f91,f4118]) ).
fof(f4120,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK0_skl = sum(n4,sum(n8,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f244,f4119]) ).
fof(f4121,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK0_skl = sum(n4,sum(n8,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f4120]) ).
fof(f4122,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK0_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f121,f4121]) ).
fof(f4123,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ6_spl
| n8 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f4126,f295]) ).
fof(f4126,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK0_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f4122]) ).
fof(f4127,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(pred(n6),succ(sK20_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f244,f2971]) ).
fof(f4128,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,succ(sK20_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f21,f4127]) ).
fof(f4129,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,succ(n6)),n7) ),
inference(forward_demodulation,[status(thm)],[f244,f4128]) ).
fof(f4130,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,n7),n7) ),
inference(forward_demodulation,[status(thm)],[f10,f4129]) ).
fof(f4131,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK1_skl = sum(n1,n7) ),
inference(forward_demodulation,[status(thm)],[f88,f4130]) ).
fof(f4132,plain,
( ~ sQ20_spl
| ~ sQ6_spl
| sK1_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f44,f4131]) ).
fof(f4161,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ6_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f4132,f4123]) ).
fof(f4162,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4161]) ).
fof(f4163,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f4162]) ).
fof(f4164,plain,
( ~ sQ14_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f269,f150]) ).
fof(f4165,plain,
( ~ sQ14_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n3),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f269,f149]) ).
fof(f4166,plain,
( ~ sQ14_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(n3)),sum(pred(n3),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f269,f3818]) ).
fof(f4167,plain,
( ~ sQ14_spl
| sK0_skl = sum(sum(pred(sK20_skl),n4),sum(pred(n3),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f4166]) ).
fof(f4168,plain,
( ~ sQ14_spl
| sK0_skl = sum(sum(pred(sK20_skl),n4),sum(n2,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f4167]) ).
fof(f4169,plain,
( ~ sQ14_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f3817]) ).
fof(f4170,plain,
( ~ sQ14_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f4169]) ).
fof(f4171,plain,
( ~ sQ14_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f4170]) ).
fof(f4172,plain,
( ~ sQ14_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),n6) ),
inference(forward_demodulation,[status(thm)],[f52,f4171]) ).
fof(f4193,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n7,succ(n3)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f269,f2302]) ).
fof(f4194,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n7,n4),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f7,f4193]) ).
fof(f4195,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK0_skl = sum(n0,sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f107,f4194]) ).
fof(f4196,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK0_skl = sum(n0,sum(pred(n3),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f269,f4195]) ).
fof(f4197,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK0_skl = sum(n0,sum(n2,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f18,f4196]) ).
fof(f4198,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK0_skl = sum(n0,sum(n2,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f4197]) ).
fof(f4199,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK0_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f57,f4198]) ).
fof(f4202,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ14_spl
| n0 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f4203,f295]) ).
fof(f4203,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK0_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f4199]) ).
fof(f4204,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK1_skl = sum(n5,sum(pred(n3),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f269,f902]) ).
fof(f4205,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK1_skl = sum(n5,sum(n2,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f4204]) ).
fof(f4206,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK1_skl = sum(n5,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f4205]) ).
fof(f4207,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK1_skl = sum(n5,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f4206]) ).
fof(f4208,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK1_skl = sum(n5,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f4207]) ).
fof(f4209,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sK1_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f87,f4208]) ).
fof(f4271,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ14_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f4209,f4202]) ).
fof(f4272,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4271]) ).
fof(f4273,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f4272]) ).
fof(f4283,plain,
( ~ sQ15_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n4),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f272,f149]) ).
fof(f4284,plain,
( ~ sQ15_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f272,f150]) ).
fof(f4285,plain,
( ~ sQ15_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(n4),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f272,f3104]) ).
fof(f4286,plain,
( ~ sQ15_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f4285]) ).
fof(f4287,plain,
( ~ sQ15_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f4286]) ).
fof(f4288,plain,
( ~ sQ15_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),n8) ),
inference(forward_demodulation,[status(thm)],[f64,f4287]) ).
fof(f4289,plain,
( ~ sQ15_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(n4)),sum(pred(n4),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f272,f3103]) ).
fof(f4290,plain,
( ~ sQ15_spl
| sK0_skl = sum(sum(pred(sK20_skl),n5),sum(pred(n4),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f4289]) ).
fof(f4291,plain,
( ~ sQ15_spl
| sK0_skl = sum(sum(pred(sK20_skl),n5),sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f4290]) ).
fof(f4303,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK1_skl = sum(n8,sum(pred(n4),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f272,f1072]) ).
fof(f4304,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK1_skl = sum(n8,sum(n3,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f4303]) ).
fof(f4305,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK1_skl = sum(n8,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f272,f4304]) ).
fof(f4306,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK1_skl = sum(n8,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f4305]) ).
fof(f4307,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK1_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f4306]) ).
fof(f4308,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ15_spl
| sK0_skl != n5 ),
inference(backward_demodulation,[status(thm)],[f4311,f295]) ).
fof(f4311,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK1_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f4307]) ).
fof(f4312,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n3,succ(n4)),sum(pred(sK21_skl),n5)) ),
inference(forward_demodulation,[status(thm)],[f272,f1765]) ).
fof(f4313,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n3,n5),sum(pred(sK21_skl),n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f4312]) ).
fof(f4314,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK0_skl = sum(n8,sum(pred(sK21_skl),n5)) ),
inference(forward_demodulation,[status(thm)],[f64,f4313]) ).
fof(f4315,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK0_skl = sum(n8,sum(pred(n4),n5)) ),
inference(forward_demodulation,[status(thm)],[f272,f4314]) ).
fof(f4316,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK0_skl = sum(n8,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f19,f4315]) ).
fof(f4317,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK0_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f4316]) ).
fof(f4318,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sK0_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f4317]) ).
fof(f4358,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ15_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f4318,f4308]) ).
fof(f4359,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4358]) ).
fof(f4360,plain,
( sQ22_spl
| ~ sQ4_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f4359]) ).
fof(f4371,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f253,f149]) ).
fof(f4380,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK1_skl = sum(n7,sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f284,f1443]) ).
fof(f4395,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(pred(n9),succ(sK21_skl)),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f253,f4371]) ).
fof(f4396,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(n8,succ(sK21_skl)),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f4395]) ).
fof(f4397,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n8,succ(n8)),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f284,f4396]) ).
fof(f4398,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n8,n9),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f12,f4397]) ).
fof(f4399,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK0_skl = sum(n6,sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f123,f4398]) ).
fof(f4400,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK0_skl = sum(n6,sum(pred(n8),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f284,f4399]) ).
fof(f4401,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK0_skl = sum(n6,sum(n7,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f23,f4400]) ).
fof(f4402,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK0_skl = sum(n6,sum(n7,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f4401]) ).
fof(f4403,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK0_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f113,f4402]) ).
fof(f4406,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ19_spl
| n1 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f4407,f295]) ).
fof(f4407,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK0_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f4403]) ).
fof(f4414,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK1_skl = sum(n7,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f4380]) ).
fof(f4415,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK1_skl = sum(n7,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f4414]) ).
fof(f4416,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK1_skl = sum(n7,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f4415]) ).
fof(f4417,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK1_skl = sum(n7,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f4416]) ).
fof(f4418,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sK1_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f108,f4417]) ).
fof(f4442,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ19_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f4418,f4406]) ).
fof(f4443,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4442]) ).
fof(f4444,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f4443]) ).
fof(f4446,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f232,f149]) ).
fof(f4456,plain,
( ~ sQ2_spl
| sK1_skl = sum(sum(pred(n2),succ(n2)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f232,f3179]) ).
fof(f4457,plain,
( ~ sQ2_spl
| sK1_skl = sum(sum(n1,succ(n2)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f4456]) ).
fof(f4458,plain,
( ~ sQ2_spl
| sK1_skl = sum(sum(n1,n3),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f4457]) ).
fof(f4459,plain,
( ~ sQ2_spl
| sK1_skl = sum(n4,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f40,f4458]) ).
fof(f4460,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(pred(n2),succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f232,f3180]) ).
fof(f4461,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f4460]) ).
fof(f4462,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(sK21_skl)),sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f4461]) ).
fof(f4464,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK1_skl = sum(n4,sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f278,f4459]) ).
fof(f4474,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(pred(n2),succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f232,f4446]) ).
fof(f4475,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f4474]) ).
fof(f4476,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n1,succ(n6)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f278,f4475]) ).
fof(f4477,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n1,n7),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f10,f4476]) ).
fof(f4478,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK0_skl = sum(n8,sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f44,f4477]) ).
fof(f4479,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK0_skl = sum(n8,sum(pred(n6),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f278,f4478]) ).
fof(f4480,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK0_skl = sum(n8,sum(n5,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f21,f4479]) ).
fof(f4481,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK0_skl = sum(n8,sum(n5,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f4480]) ).
fof(f4482,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK0_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f84,f4481]) ).
fof(f4483,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ17_spl
| n5 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f4486,f295]) ).
fof(f4486,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK0_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f4482]) ).
fof(f4497,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK1_skl = sum(n4,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f4464]) ).
fof(f4498,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK1_skl = sum(n4,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f4497]) ).
fof(f4499,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK1_skl = sum(n4,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f4498]) ).
fof(f4500,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK1_skl = sum(n4,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f4499]) ).
fof(f4501,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sK1_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f71,f4500]) ).
fof(f4502,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ17_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f4501,f4483]) ).
fof(f4503,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4502]) ).
fof(f4504,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4503]) ).
fof(f4514,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(backward_demodulation,[status(thm)],[f226,f149]) ).
fof(f4516,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(n10,succ(sK21_skl)),sum(pred(sK21_skl),n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f1647]) ).
fof(f4517,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK1_skl = sum(n0,sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f263,f437]) ).
fof(f4532,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(pred(n0),succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f226,f4514]) ).
fof(f4533,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(n10,succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f4532]) ).
fof(f4534,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n10,succ(n1)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f263,f4533]) ).
fof(f4535,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n10,n2),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f5,f4534]) ).
fof(f4536,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK0_skl = sum(n1,sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f138,f4535]) ).
fof(f4537,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK0_skl = sum(n1,sum(pred(n1),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f263,f4536]) ).
fof(f4538,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK0_skl = sum(n1,sum(n0,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f16,f4537]) ).
fof(f4539,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK0_skl = sum(n1,sum(n0,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f4538]) ).
fof(f4540,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK0_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f27,f4539]) ).
fof(f4543,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ12_spl
| n2 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f4544,f295]) ).
fof(f4544,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK0_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f4540]) ).
fof(f4545,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK1_skl = sum(n0,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f4517]) ).
fof(f4546,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK1_skl = sum(n0,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f4545]) ).
fof(f4547,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK1_skl = sum(n0,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f4546]) ).
fof(f4548,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK1_skl = sum(n0,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f4547]) ).
fof(f4549,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sK1_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f28,f4548]) ).
fof(f4579,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ12_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f4549,f4543]) ).
fof(f4580,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4579]) ).
fof(f4581,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4580]) ).
fof(f4605,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(pred(n3),succ(sK20_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f235,f2971]) ).
fof(f4606,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(sK20_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f18,f4605]) ).
fof(f4607,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(n3)),n7) ),
inference(forward_demodulation,[status(thm)],[f235,f4606]) ).
fof(f4608,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,n4),n7) ),
inference(forward_demodulation,[status(thm)],[f7,f4607]) ).
fof(f4609,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,n7) ),
inference(forward_demodulation,[status(thm)],[f52,f4608]) ).
fof(f4610,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ3_spl
| sK0_skl != n2 ),
inference(backward_demodulation,[status(thm)],[f4613,f295]) ).
fof(f4613,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK1_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f99,f4609]) ).
fof(f4614,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(pred(n3),n10),sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f235,f2975]) ).
fof(f4615,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(n2,n10),sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f4614]) ).
fof(f4616,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK0_skl = sum(n1,sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f58,f4615]) ).
fof(f4617,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK0_skl = sum(n1,sum(n8,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f235,f4616]) ).
fof(f4618,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK0_skl = sum(n1,sum(n8,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f4617]) ).
fof(f4619,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK0_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f118,f4618]) ).
fof(f4620,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sK0_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f4619]) ).
fof(f4649,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ3_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f4620,f4610]) ).
fof(f4650,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4649]) ).
fof(f4651,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f4650]) ).
fof(f4661,plain,
( ~ sQ13_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f266,f150]) ).
fof(f4662,plain,
( ~ sQ13_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n2),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f266,f149]) ).
fof(f4681,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK1_skl = sum(n10,sum(pred(n2),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f266,f628]) ).
fof(f4682,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK1_skl = sum(n10,sum(n1,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f4681]) ).
fof(f4683,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK1_skl = sum(n10,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f266,f4682]) ).
fof(f4684,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK1_skl = sum(n10,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f4683]) ).
fof(f4685,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK1_skl = sum(n10,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f4684]) ).
fof(f4688,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ13_spl
| sK0_skl != n3 ),
inference(backward_demodulation,[status(thm)],[f4689,f295]) ).
fof(f4689,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK1_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f140,f4685]) ).
fof(f4690,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n4,succ(n2)),sum(pred(sK21_skl),n6)) ),
inference(forward_demodulation,[status(thm)],[f266,f1299]) ).
fof(f4691,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n4,n3),sum(pred(sK21_skl),n6)) ),
inference(forward_demodulation,[status(thm)],[f6,f4690]) ).
fof(f4692,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK0_skl = sum(n7,sum(pred(sK21_skl),n6)) ),
inference(forward_demodulation,[status(thm)],[f73,f4691]) ).
fof(f4693,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK0_skl = sum(n7,sum(pred(n2),n6)) ),
inference(forward_demodulation,[status(thm)],[f266,f4692]) ).
fof(f4694,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK0_skl = sum(n7,sum(n1,n6)) ),
inference(forward_demodulation,[status(thm)],[f17,f4693]) ).
fof(f4695,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK0_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f43,f4694]) ).
fof(f4696,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sK0_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f4695]) ).
fof(f4759,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ13_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f4696,f4688]) ).
fof(f4760,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4759]) ).
fof(f4761,plain,
( sQ22_spl
| ~ sQ5_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f4760]) ).
fof(f4773,plain,
( ~ sQ16_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(n5)),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f275,f2623]) ).
fof(f4774,plain,
( ~ sQ16_spl
| sK0_skl = sum(sum(pred(sK20_skl),n6),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f4773]) ).
fof(f4775,plain,
( ~ sQ16_spl
| sK0_skl = sum(sum(pred(sK20_skl),n6),sum(n4,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f4774]) ).
fof(f4776,plain,
( ~ sQ16_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f275,f2622]) ).
fof(f4777,plain,
( ~ sQ16_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f4776]) ).
fof(f4778,plain,
( ~ sQ16_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f4777]) ).
fof(f4779,plain,
( ~ sQ16_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),n10) ),
inference(forward_demodulation,[status(thm)],[f76,f4778]) ).
fof(f4791,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n7,succ(n5)),sum(pred(sK21_skl),n9)) ),
inference(forward_demodulation,[status(thm)],[f275,f1688]) ).
fof(f4792,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n7,n6),sum(pred(sK21_skl),n9)) ),
inference(forward_demodulation,[status(thm)],[f9,f4791]) ).
fof(f4793,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK0_skl = sum(n2,sum(pred(sK21_skl),n9)) ),
inference(forward_demodulation,[status(thm)],[f109,f4792]) ).
fof(f4794,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK0_skl = sum(n2,sum(pred(n5),n9)) ),
inference(forward_demodulation,[status(thm)],[f275,f4793]) ).
fof(f4795,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK0_skl = sum(n2,sum(n4,n9)) ),
inference(forward_demodulation,[status(thm)],[f20,f4794]) ).
fof(f4796,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK0_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f79,f4795]) ).
fof(f4797,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ16_spl
| n4 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f4800,f295]) ).
fof(f4800,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK0_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f4796]) ).
fof(f4801,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK1_skl = sum(n5,sum(pred(n5),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f275,f902]) ).
fof(f4802,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK1_skl = sum(n5,sum(n4,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f4801]) ).
fof(f4803,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK1_skl = sum(n5,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f275,f4802]) ).
fof(f4804,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK1_skl = sum(n5,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f4803]) ).
fof(f4805,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK1_skl = sum(n5,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f4804]) ).
fof(f4806,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sK1_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f91,f4805]) ).
fof(f4846,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ16_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f4806,f4797]) ).
fof(f4847,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4846]) ).
fof(f4848,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f4847]) ).
fof(f4872,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(pred(n4),succ(sK20_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f238,f2549]) ).
fof(f4873,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(sK20_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f19,f4872]) ).
fof(f4874,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(n4)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f238,f4873]) ).
fof(f4875,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,n5),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f8,f4874]) ).
fof(f4876,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f64,f4875]) ).
fof(f4877,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(pred(n7),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f281,f4876]) ).
fof(f4878,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f4877]) ).
fof(f4879,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f4878]) ).
fof(f4880,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f4879]) ).
fof(f4883,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ4_spl
| sK0_skl != n0 ),
inference(backward_demodulation,[status(thm)],[f4884,f295]) ).
fof(f4884,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK1_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f117,f4880]) ).
fof(f4885,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(pred(n4),succ(sK21_skl)),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f238,f2548]) ).
fof(f4886,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,succ(sK21_skl)),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f4885]) ).
fof(f4887,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,succ(n7)),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f281,f4886]) ).
fof(f4888,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,n8),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f4887]) ).
fof(f4889,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK0_skl = sum(n0,sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f67,f4888]) ).
fof(f4890,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK0_skl = sum(n0,sum(n6,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f4889]) ).
fof(f4891,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK0_skl = sum(n0,sum(n6,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f238,f4890]) ).
fof(f4892,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK0_skl = sum(n0,sum(n6,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f4891]) ).
fof(f4893,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK0_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f97,f4892]) ).
fof(f4894,plain,
( ~ sQ18_spl
| ~ sQ4_spl
| sK0_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f4893]) ).
fof(f4945,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ4_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f4894,f4883]) ).
fof(f4946,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4945]) ).
fof(f4947,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f4946]) ).
fof(f4957,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f253,f149]) ).
fof(f4958,plain,
( ~ sQ9_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(n9)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(backward_demodulation,[status(thm)],[f253,f150]) ).
fof(f4971,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(pred(n9),n5),sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f253,f4291]) ).
fof(f4972,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(n8,n5),sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f4971]) ).
fof(f4973,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK0_skl = sum(n2,sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f119,f4972]) ).
fof(f4974,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK0_skl = sum(n2,sum(n3,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f253,f4973]) ).
fof(f4975,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK0_skl = sum(n2,sum(n3,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f4974]) ).
fof(f4976,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK0_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f69,f4975]) ).
fof(f4977,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ9_spl
| n4 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f4980,f295]) ).
fof(f4980,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK0_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f4976]) ).
fof(f4981,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(pred(n9),succ(sK20_skl)),n8) ),
inference(forward_demodulation,[status(thm)],[f253,f4288]) ).
fof(f4982,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(sK20_skl)),n8) ),
inference(forward_demodulation,[status(thm)],[f24,f4981]) ).
fof(f4983,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(n9)),n8) ),
inference(forward_demodulation,[status(thm)],[f253,f4982]) ).
fof(f4984,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,n10),n8) ),
inference(forward_demodulation,[status(thm)],[f13,f4983]) ).
fof(f4985,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,n8) ),
inference(forward_demodulation,[status(thm)],[f124,f4984]) ).
fof(f4986,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| sK1_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f111,f4985]) ).
fof(f5035,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ9_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f4986,f4977]) ).
fof(f5036,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5035]) ).
fof(f5037,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f5036]) ).
fof(f5040,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f244,f149]) ).
fof(f5056,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK1_skl = sum(n1,sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f278,f816]) ).
fof(f5071,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(pred(n6),succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f244,f5040]) ).
fof(f5072,plain,
( ~ sQ6_spl
| sK0_skl = sum(sum(n5,succ(sK21_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f5071]) ).
fof(f5073,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n5,succ(n6)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f5072]) ).
fof(f5074,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n5,n7),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f10,f5073]) ).
fof(f5075,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK0_skl = sum(n1,sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f88,f5074]) ).
fof(f5076,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK0_skl = sum(n1,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f5075]) ).
fof(f5077,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK0_skl = sum(n1,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f5076]) ).
fof(f5078,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK0_skl = sum(n1,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f5077]) ).
fof(f5079,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK0_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f5078]) ).
fof(f5082,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ17_spl
| n2 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f5083,f295]) ).
fof(f5083,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK0_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f5079]) ).
fof(f5084,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK1_skl = sum(n1,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f5056]) ).
fof(f5085,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK1_skl = sum(n1,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f5084]) ).
fof(f5086,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK1_skl = sum(n1,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f5085]) ).
fof(f5087,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK1_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f5086]) ).
fof(f5088,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sK1_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f5087]) ).
fof(f5118,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ17_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f5088,f5082]) ).
fof(f5119,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5118]) ).
fof(f5120,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f5119]) ).
fof(f5129,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(backward_demodulation,[status(thm)],[f226,f149]) ).
fof(f5134,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK1_skl = sum(n0,sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f284,f437]) ).
fof(f5144,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(pred(n0),succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f226,f5129]) ).
fof(f5145,plain,
( ~ sQ0_spl
| sK0_skl = sum(sum(n10,succ(sK21_skl)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f5144]) ).
fof(f5146,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n10,succ(n8)),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f284,f5145]) ).
fof(f5147,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n10,n9),sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f12,f5146]) ).
fof(f5148,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK0_skl = sum(n8,sum(pred(sK21_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f145,f5147]) ).
fof(f5149,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK0_skl = sum(n8,sum(pred(n8),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f284,f5148]) ).
fof(f5150,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK0_skl = sum(n8,sum(n7,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f23,f5149]) ).
fof(f5151,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK0_skl = sum(n8,sum(n7,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f5150]) ).
fof(f5152,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK0_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f104,f5151]) ).
fof(f5153,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ19_spl
| n5 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f5156,f295]) ).
fof(f5156,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK0_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f5152]) ).
fof(f5167,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK1_skl = sum(n0,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f5134]) ).
fof(f5168,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK1_skl = sum(n0,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f5167]) ).
fof(f5169,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK1_skl = sum(n0,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f5168]) ).
fof(f5170,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK1_skl = sum(n0,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f5169]) ).
fof(f5171,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sK1_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f31,f5170]) ).
fof(f5172,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ19_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f5171,f5153]) ).
fof(f5173,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5172]) ).
fof(f5174,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f5173]) ).
fof(f5178,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f232,f149]) ).
fof(f5187,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK1_skl = sum(n4,sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f263,f4459]) ).
fof(f5202,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(pred(n2),succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f232,f5178]) ).
fof(f5203,plain,
( ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(sK21_skl)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f5202]) ).
fof(f5204,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n1,succ(n1)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f263,f5203]) ).
fof(f5205,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n1,n2),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f5,f5204]) ).
fof(f5206,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK0_skl = sum(n3,sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f39,f5205]) ).
fof(f5207,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK0_skl = sum(n3,sum(pred(n1),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f263,f5206]) ).
fof(f5208,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK0_skl = sum(n3,sum(n0,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f16,f5207]) ).
fof(f5209,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK0_skl = sum(n3,sum(n0,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f5208]) ).
fof(f5210,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK0_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f29,f5209]) ).
fof(f5213,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ12_spl
| n6 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f5214,f295]) ).
fof(f5214,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK0_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f5210]) ).
fof(f5215,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK1_skl = sum(n4,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f5187]) ).
fof(f5216,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK1_skl = sum(n4,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f5215]) ).
fof(f5217,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK1_skl = sum(n4,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f5216]) ).
fof(f5218,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK1_skl = sum(n4,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f5217]) ).
fof(f5219,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sK1_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f72,f5218]) ).
fof(f5249,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ12_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f5219,f5213]) ).
fof(f5250,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5249]) ).
fof(f5251,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5250]) ).
fof(f5275,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(pred(n5),n10),sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f241,f2975]) ).
fof(f5276,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(n4,n10),sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f5275]) ).
fof(f5277,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK0_skl = sum(n3,sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f80,f5276]) ).
fof(f5278,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK0_skl = sum(n3,sum(n8,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f5277]) ).
fof(f5279,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK0_skl = sum(n3,sum(n8,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f5278]) ).
fof(f5280,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK0_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f120,f5279]) ).
fof(f5281,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ5_spl
| n6 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f5284,f295]) ).
fof(f5284,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK0_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f5280]) ).
fof(f5285,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(pred(n5),succ(sK20_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f241,f2971]) ).
fof(f5286,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,succ(sK20_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f20,f5285]) ).
fof(f5287,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,succ(n5)),n7) ),
inference(forward_demodulation,[status(thm)],[f241,f5286]) ).
fof(f5288,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,n6),n7) ),
inference(forward_demodulation,[status(thm)],[f9,f5287]) ).
fof(f5289,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,n7) ),
inference(forward_demodulation,[status(thm)],[f76,f5288]) ).
fof(f5290,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sK1_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f143,f5289]) ).
fof(f5319,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ5_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f5290,f5281]) ).
fof(f5320,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5319]) ).
fof(f5321,plain,
( sQ22_spl
| ~ sQ20_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f5320]) ).
fof(f5342,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK1_skl = sum(n7,sum(pred(n9),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f287,f1443]) ).
fof(f5343,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK1_skl = sum(n7,sum(n8,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f5342]) ).
fof(f5344,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK1_skl = sum(n7,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f287,f5343]) ).
fof(f5345,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK1_skl = sum(n7,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f5344]) ).
fof(f5346,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK1_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f5345]) ).
fof(f5349,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ20_spl
| sK0_skl != n3 ),
inference(backward_demodulation,[status(thm)],[f5350,f295]) ).
fof(f5350,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK1_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f5346]) ).
fof(f5351,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n8,succ(n9)),sum(pred(sK21_skl),n10)) ),
inference(forward_demodulation,[status(thm)],[f287,f3034]) ).
fof(f5352,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n8,n10),sum(pred(sK21_skl),n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f5351]) ).
fof(f5353,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK0_skl = sum(n7,sum(pred(sK21_skl),n10)) ),
inference(forward_demodulation,[status(thm)],[f124,f5352]) ).
fof(f5354,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK0_skl = sum(n7,sum(pred(n9),n10)) ),
inference(forward_demodulation,[status(thm)],[f287,f5353]) ).
fof(f5355,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK0_skl = sum(n7,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f24,f5354]) ).
fof(f5356,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK0_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f5355]) ).
fof(f5357,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sK0_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f5356]) ).
fof(f5413,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ20_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f5357,f5349]) ).
fof(f5414,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5413]) ).
fof(f5415,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f5414]) ).
fof(f5428,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n9,succ(n9)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f287,f356]) ).
fof(f5429,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n9,n10),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f5428]) ).
fof(f5430,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK0_skl = sum(n8,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f135,f5429]) ).
fof(f5431,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK0_skl = sum(n8,sum(pred(n9),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f287,f5430]) ).
fof(f5432,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK0_skl = sum(n8,sum(n8,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f5431]) ).
fof(f5433,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK0_skl = sum(n8,sum(n8,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f256,f5432]) ).
fof(f5434,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK0_skl = sum(n8,sum(n8,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f5433]) ).
fof(f5435,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK0_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f114,f5434]) ).
fof(f5436,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ20_spl
| n5 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f5439,f295]) ).
fof(f5439,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK0_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f5435]) ).
fof(f5440,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK1_skl = sum(n9,sum(pred(n9),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f287,f345]) ).
fof(f5441,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK1_skl = sum(n9,sum(n8,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f5440]) ).
fof(f5442,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK1_skl = sum(n9,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f287,f5441]) ).
fof(f5443,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK1_skl = sum(n9,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f5442]) ).
fof(f5444,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK1_skl = sum(n9,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f5443]) ).
fof(f5445,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sK1_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f132,f5444]) ).
fof(f5457,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ20_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f5445,f5436]) ).
fof(f5458,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5457]) ).
fof(f5459,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f5458]) ).
fof(f5475,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f468]) ).
fof(f5476,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f5475]) ).
fof(f5487,plain,
( ~ sQ18_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(n7)),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f281,f2548]) ).
fof(f5488,plain,
( ~ sQ18_spl
| sK0_skl = sum(sum(pred(sK20_skl),n8),sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f5487]) ).
fof(f5489,plain,
( ~ sQ18_spl
| sK0_skl = sum(sum(pred(sK20_skl),n8),sum(n6,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f5488]) ).
fof(f5490,plain,
( ~ sQ18_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(n7),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f281,f2549]) ).
fof(f5491,plain,
( ~ sQ18_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f5490]) ).
fof(f5492,plain,
( ~ sQ18_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f5491]) ).
fof(f5493,plain,
( ~ sQ18_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f100,f5492]) ).
fof(f5505,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n7,succ(n7)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f281,f2302]) ).
fof(f5506,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n7,n8),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f11,f5505]) ).
fof(f5507,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK0_skl = sum(n4,sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f111,f5506]) ).
fof(f5508,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK0_skl = sum(n4,sum(pred(n7),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f281,f5507]) ).
fof(f5509,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK0_skl = sum(n4,sum(n6,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f22,f5508]) ).
fof(f5510,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK0_skl = sum(n4,sum(n6,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f5509]) ).
fof(f5511,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK0_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f101,f5510]) ).
fof(f5512,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ18_spl
| n8 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f5515,f295]) ).
fof(f5515,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK0_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f5511]) ).
fof(f5516,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK1_skl = sum(n5,sum(pred(n7),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f281,f902]) ).
fof(f5517,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK1_skl = sum(n5,sum(n6,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f5516]) ).
fof(f5518,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK1_skl = sum(n5,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f281,f5517]) ).
fof(f5519,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK1_skl = sum(n5,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f5518]) ).
fof(f5520,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK1_skl = sum(n5,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f5519]) ).
fof(f5521,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sK1_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f84,f5520]) ).
fof(f5561,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ18_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f5521,f5512]) ).
fof(f5562,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5561]) ).
fof(f5563,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f5562]) ).
fof(f5564,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f235,f149]) ).
fof(f5582,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(pred(n3),succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f235,f324]) ).
fof(f5583,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f18,f5582]) ).
fof(f5584,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(n3)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f235,f5583]) ).
fof(f5585,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,n4),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f7,f5584]) ).
fof(f5586,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f52,f5585]) ).
fof(f5587,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(pred(sK21_skl),n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f5586]) ).
fof(f5595,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(pred(n10),n0)) ),
inference(backward_demodulation,[status(thm)],[f290,f5587]) ).
fof(f5608,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(pred(n3),succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f235,f5564]) ).
fof(f5609,plain,
( ~ sQ3_spl
| sK0_skl = sum(sum(n2,succ(sK21_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f5608]) ).
fof(f5610,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sK0_skl = sum(sum(n2,succ(n10)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f290,f5609]) ).
fof(f5611,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sK0_skl = sum(sum(n2,n0),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f14,f5610]) ).
fof(f5612,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sK0_skl = sum(n2,sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f48,f5611]) ).
fof(f5613,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sK0_skl = sum(n2,sum(pred(n10),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f290,f5612]) ).
fof(f5614,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sK0_skl = sum(n2,sum(n9,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f25,f5613]) ).
fof(f5615,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sK0_skl = sum(n2,sum(n9,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f5614]) ).
fof(f5616,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sK0_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f129,f5615]) ).
fof(f5619,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ21_spl
| n4 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f5620,f295]) ).
fof(f5620,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sK0_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f5616]) ).
fof(f5628,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f25,f5595]) ).
fof(f5629,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f5628]) ).
fof(f5630,plain,
( ~ sQ21_spl
| ~ sQ3_spl
| sK1_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f101,f5629]) ).
fof(f5665,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ21_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f5630,f5619]) ).
fof(f5666,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5665]) ).
fof(f5667,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f5666]) ).
fof(f5668,plain,
( ~ sQ16_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f275,f150]) ).
fof(f5669,plain,
( ~ sQ16_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n5),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f275,f149]) ).
fof(f5688,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK1_skl = sum(n3,sum(pred(n5),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f275,f703]) ).
fof(f5689,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK1_skl = sum(n3,sum(n4,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f5688]) ).
fof(f5690,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK1_skl = sum(n3,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f275,f5689]) ).
fof(f5691,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK1_skl = sum(n3,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f5690]) ).
fof(f5692,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK1_skl = sum(n3,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f5691]) ).
fof(f5693,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ16_spl
| sK0_skl != n2 ),
inference(backward_demodulation,[status(thm)],[f5696,f295]) ).
fof(f5696,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK1_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f69,f5692]) ).
fof(f5697,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n6,succ(n5)),sum(pred(sK21_skl),n8)) ),
inference(forward_demodulation,[status(thm)],[f275,f1556]) ).
fof(f5698,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n6,n6),sum(pred(sK21_skl),n8)) ),
inference(forward_demodulation,[status(thm)],[f9,f5697]) ).
fof(f5699,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK0_skl = sum(n1,sum(pred(sK21_skl),n8)) ),
inference(forward_demodulation,[status(thm)],[f98,f5698]) ).
fof(f5700,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK0_skl = sum(n1,sum(pred(n5),n8)) ),
inference(forward_demodulation,[status(thm)],[f275,f5699]) ).
fof(f5701,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK0_skl = sum(n1,sum(n4,n8)) ),
inference(forward_demodulation,[status(thm)],[f20,f5700]) ).
fof(f5702,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK0_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f78,f5701]) ).
fof(f5703,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sK0_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f5702]) ).
fof(f5764,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ16_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f5703,f5693]) ).
fof(f5765,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5764]) ).
fof(f5766,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f5765]) ).
fof(f5796,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(pred(n4),n3),sum(n1,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f238,f3629]) ).
fof(f5797,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,n3),sum(n1,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f5796]) ).
fof(f5798,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK0_skl = sum(n6,sum(n1,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f62,f5797]) ).
fof(f5799,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK0_skl = sum(n6,sum(n1,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f238,f5798]) ).
fof(f5800,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK0_skl = sum(n6,sum(n1,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f5799]) ).
fof(f5801,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK0_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f42,f5800]) ).
fof(f5804,plain,
( sQ22_spl
| ~ sQ13_spl
| ~ sQ4_spl
| n1 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f5805,f295]) ).
fof(f5805,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK0_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f5801]) ).
fof(f5806,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(pred(n4),succ(sK20_skl)),n4) ),
inference(forward_demodulation,[status(thm)],[f238,f3633]) ).
fof(f5807,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(sK20_skl)),n4) ),
inference(forward_demodulation,[status(thm)],[f19,f5806]) ).
fof(f5808,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(n4)),n4) ),
inference(forward_demodulation,[status(thm)],[f238,f5807]) ).
fof(f5809,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,n5),n4) ),
inference(forward_demodulation,[status(thm)],[f8,f5808]) ).
fof(f5810,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,n4) ),
inference(forward_demodulation,[status(thm)],[f64,f5809]) ).
fof(f5811,plain,
( ~ sQ13_spl
| ~ sQ4_spl
| sK1_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f118,f5810]) ).
fof(f5882,plain,
( sQ22_spl
| ~ sQ13_spl
| ~ sQ4_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f5811,f5804]) ).
fof(f5883,plain,
( sQ22_spl
| ~ sQ13_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5882]) ).
fof(f5884,plain,
( sQ22_spl
| ~ sQ13_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f5883]) ).
fof(f5885,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(pred(n9),succ(sK21_skl)),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f253,f4957]) ).
fof(f5886,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(n8,succ(sK21_skl)),sum(pred(sK21_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f5885]) ).
fof(f5887,plain,
( ~ sQ9_spl
| sK0_skl = sum(sum(n8,succ(sK21_skl)),sum(pred(sK21_skl),n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f5886]) ).
fof(f5888,plain,
( ~ sQ9_spl
| sK1_skl = sum(sum(pred(n9),succ(n9)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f253,f4958]) ).
fof(f5889,plain,
( ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(n9)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f5888]) ).
fof(f5890,plain,
( ~ sQ9_spl
| sK1_skl = sum(sum(n8,n10),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f5889]) ).
fof(f5891,plain,
( ~ sQ9_spl
| sK1_skl = sum(n7,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f124,f5890]) ).
fof(f5921,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(pred(n9),succ(sK20_skl)),n6) ),
inference(forward_demodulation,[status(thm)],[f253,f4172]) ).
fof(f5922,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(sK20_skl)),n6) ),
inference(forward_demodulation,[status(thm)],[f24,f5921]) ).
fof(f5923,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(n9)),n6) ),
inference(forward_demodulation,[status(thm)],[f253,f5922]) ).
fof(f5924,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,n10),n6) ),
inference(forward_demodulation,[status(thm)],[f13,f5923]) ).
fof(f5925,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,n6) ),
inference(forward_demodulation,[status(thm)],[f124,f5924]) ).
fof(f5926,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ9_spl
| sK0_skl != n2 ),
inference(backward_demodulation,[status(thm)],[f5929,f295]) ).
fof(f5929,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK1_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f109,f5925]) ).
fof(f5930,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(pred(n9),n4),sum(n2,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f253,f4168]) ).
fof(f5931,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(n8,n4),sum(n2,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f5930]) ).
fof(f5932,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK0_skl = sum(n1,sum(n2,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f118,f5931]) ).
fof(f5933,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK0_skl = sum(n1,sum(n2,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f253,f5932]) ).
fof(f5934,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK0_skl = sum(n1,sum(n2,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f5933]) ).
fof(f5935,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK0_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f58,f5934]) ).
fof(f5936,plain,
( ~ sQ14_spl
| ~ sQ9_spl
| sK0_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f5935]) ).
fof(f5969,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ9_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f5936,f5926]) ).
fof(f5970,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5969]) ).
fof(f5971,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f5970]) ).
fof(f5973,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n8,succ(sK21_skl)),sum(pred(n6),n10)) ),
inference(backward_demodulation,[status(thm)],[f278,f5887]) ).
fof(f5974,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK1_skl = sum(n7,sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f278,f5891]) ).
fof(f5983,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n8,succ(n6)),sum(pred(n6),n10)) ),
inference(forward_demodulation,[status(thm)],[f278,f5973]) ).
fof(f5984,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n8,n7),sum(pred(n6),n10)) ),
inference(forward_demodulation,[status(thm)],[f10,f5983]) ).
fof(f5985,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK0_skl = sum(n4,sum(pred(n6),n10)) ),
inference(forward_demodulation,[status(thm)],[f121,f5984]) ).
fof(f5986,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK0_skl = sum(n4,sum(n5,n10)) ),
inference(forward_demodulation,[status(thm)],[f21,f5985]) ).
fof(f5987,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK0_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f91,f5986]) ).
fof(f5990,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ17_spl
| n8 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f5991,f295]) ).
fof(f5991,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK0_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f5987]) ).
fof(f5992,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK1_skl = sum(n7,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f5974]) ).
fof(f5993,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK1_skl = sum(n7,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f5992]) ).
fof(f5994,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK1_skl = sum(n7,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f5993]) ).
fof(f5995,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK1_skl = sum(n7,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f5994]) ).
fof(f5996,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sK1_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f104,f5995]) ).
fof(f6020,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ17_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f5996,f5990]) ).
fof(f6021,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6020]) ).
fof(f6022,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f6021]) ).
fof(f6046,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n10,succ(n9)),sum(pred(sK21_skl),n1)) ),
inference(forward_demodulation,[status(thm)],[f287,f4516]) ).
fof(f6047,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n10,n10),sum(pred(sK21_skl),n1)) ),
inference(forward_demodulation,[status(thm)],[f13,f6046]) ).
fof(f6048,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK0_skl = sum(n9,sum(pred(sK21_skl),n1)) ),
inference(forward_demodulation,[status(thm)],[f146,f6047]) ).
fof(f6049,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK0_skl = sum(n9,sum(pred(n9),n1)) ),
inference(forward_demodulation,[status(thm)],[f287,f6048]) ).
fof(f6050,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK0_skl = sum(n9,sum(n8,n1)) ),
inference(forward_demodulation,[status(thm)],[f24,f6049]) ).
fof(f6051,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK0_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f115,f6050]) ).
fof(f6052,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ20_spl
| n7 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f6055,f295]) ).
fof(f6055,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK0_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f6051]) ).
fof(f6056,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK1_skl = sum(n0,sum(pred(n9),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f287,f437]) ).
fof(f6057,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK1_skl = sum(n0,sum(n8,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f6056]) ).
fof(f6058,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK1_skl = sum(n0,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f287,f6057]) ).
fof(f6059,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK1_skl = sum(n0,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f6058]) ).
fof(f6060,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK1_skl = sum(n0,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f6059]) ).
fof(f6061,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sK1_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f33,f6060]) ).
fof(f6102,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ20_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f6061,f6052]) ).
fof(f6103,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6102]) ).
fof(f6104,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f6103]) ).
fof(f6136,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(pred(n9),succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f253,f325]) ).
fof(f6137,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(n8,succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f6136]) ).
fof(f6138,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(n8,succ(n10)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f6137]) ).
fof(f6139,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(n8,n0),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f6138]) ).
fof(f6140,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK0_skl = sum(n8,sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f114,f6139]) ).
fof(f6141,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK0_skl = sum(n8,sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f6140]) ).
fof(f6142,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK0_skl = sum(n8,sum(n9,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f253,f6141]) ).
fof(f6143,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK0_skl = sum(n8,sum(n9,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f6142]) ).
fof(f6144,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK0_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f135,f6143]) ).
fof(f6147,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ9_spl
| n5 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f6148,f295]) ).
fof(f6148,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK0_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f6144]) ).
fof(f6149,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(pred(n9),succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f253,f324]) ).
fof(f6150,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f24,f6149]) ).
fof(f6151,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(n9)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f253,f6150]) ).
fof(f6152,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,n10),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f13,f6151]) ).
fof(f6153,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f124,f6152]) ).
fof(f6154,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f290,f6153]) ).
fof(f6155,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f6154]) ).
fof(f6156,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f6155]) ).
fof(f6157,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f6156]) ).
fof(f6158,plain,
( ~ sQ21_spl
| ~ sQ9_spl
| sK1_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f112,f6157]) ).
fof(f6193,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ9_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f6158,f6147]) ).
fof(f6194,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6193]) ).
fof(f6195,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f6194]) ).
fof(f6196,plain,
( ~ sQ15_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n4),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f272,f149]) ).
fof(f6197,plain,
( ~ sQ15_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f272,f150]) ).
fof(f6198,plain,
( ~ sQ15_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(n4)),sum(pred(n4),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f272,f4283]) ).
fof(f6199,plain,
( ~ sQ15_spl
| sK0_skl = sum(sum(pred(sK20_skl),n5),sum(pred(n4),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f6198]) ).
fof(f6200,plain,
( ~ sQ15_spl
| sK0_skl = sum(sum(pred(sK20_skl),n5),sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f6199]) ).
fof(f6201,plain,
( ~ sQ15_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(n4),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f272,f4284]) ).
fof(f6202,plain,
( ~ sQ15_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f6201]) ).
fof(f6203,plain,
( ~ sQ15_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f6202]) ).
fof(f6204,plain,
( ~ sQ15_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),n8) ),
inference(forward_demodulation,[status(thm)],[f64,f6203]) ).
fof(f6217,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK1_skl = sum(n9,sum(pred(n4),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f272,f345]) ).
fof(f6218,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK1_skl = sum(n9,sum(n3,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f6217]) ).
fof(f6219,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK1_skl = sum(n9,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f272,f6218]) ).
fof(f6220,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK1_skl = sum(n9,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f6219]) ).
fof(f6221,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK1_skl = sum(n9,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f6220]) ).
fof(f6222,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ15_spl
| sK0_skl != n6 ),
inference(backward_demodulation,[status(thm)],[f6225,f295]) ).
fof(f6225,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK1_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f133,f6221]) ).
fof(f6226,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n9,succ(n4)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f272,f356]) ).
fof(f6227,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK0_skl = sum(sum(n9,n5),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f6226]) ).
fof(f6228,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK0_skl = sum(n3,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f130,f6227]) ).
fof(f6229,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK0_skl = sum(n3,sum(pred(n4),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f272,f6228]) ).
fof(f6230,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK0_skl = sum(n3,sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f6229]) ).
fof(f6231,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK0_skl = sum(n3,sum(n3,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f256,f6230]) ).
fof(f6232,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK0_skl = sum(n3,sum(n3,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f6231]) ).
fof(f6233,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK0_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f59,f6232]) ).
fof(f6234,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sK0_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f6233]) ).
fof(f6275,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ15_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f6234,f6222]) ).
fof(f6276,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6275]) ).
fof(f6277,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f6276]) ).
fof(f6283,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f229,f149]) ).
fof(f6284,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK1_skl = sum(n2,sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f284,f462]) ).
fof(f6312,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(n1),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f229,f6283]) ).
fof(f6313,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(n0,succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f6312]) ).
fof(f6314,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n0,succ(n8)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f284,f6313]) ).
fof(f6315,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n0,n9),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f12,f6314]) ).
fof(f6316,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK0_skl = sum(n9,sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f35,f6315]) ).
fof(f6317,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK0_skl = sum(n9,sum(pred(n8),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f284,f6316]) ).
fof(f6318,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK0_skl = sum(n9,sum(n7,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f23,f6317]) ).
fof(f6319,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK0_skl = sum(n9,sum(n7,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f6318]) ).
fof(f6320,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK0_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f105,f6319]) ).
fof(f6323,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ19_spl
| n7 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f6324,f295]) ).
fof(f6324,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK0_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f6320]) ).
fof(f6325,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK1_skl = sum(n2,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f6284]) ).
fof(f6326,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK1_skl = sum(n2,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f6325]) ).
fof(f6327,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK1_skl = sum(n2,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f6326]) ).
fof(f6328,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK1_skl = sum(n2,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f6327]) ).
fof(f6329,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sK1_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f53,f6328]) ).
fof(f6359,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ19_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f6329,f6323]) ).
fof(f6360,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6359]) ).
fof(f6361,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f6360]) ).
fof(f6386,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK0_skl = sum(sum(pred(n6),n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f244,f500]) ).
fof(f6387,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK0_skl = sum(sum(n5,n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f6386]) ).
fof(f6388,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK0_skl = sum(n6,sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f82,f6387]) ).
fof(f6389,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK0_skl = sum(n6,sum(n10,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f244,f6388]) ).
fof(f6390,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK0_skl = sum(n6,sum(n10,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f6389]) ).
fof(f6391,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK0_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f143,f6390]) ).
fof(f6392,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ6_spl
| n1 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f6395,f295]) ).
fof(f6395,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK0_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f6391]) ).
fof(f6396,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(pred(n6),succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f244,f505]) ).
fof(f6397,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f21,f6396]) ).
fof(f6398,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,succ(n6)),n0) ),
inference(forward_demodulation,[status(thm)],[f244,f6397]) ).
fof(f6399,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,n7),n0) ),
inference(forward_demodulation,[status(thm)],[f10,f6398]) ).
fof(f6400,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK1_skl = sum(n1,n0) ),
inference(forward_demodulation,[status(thm)],[f88,f6399]) ).
fof(f6401,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sK1_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f37,f6400]) ).
fof(f6429,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ6_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f6401,f6392]) ).
fof(f6430,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6429]) ).
fof(f6431,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f6430]) ).
fof(f6434,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f247,f149]) ).
fof(f6446,plain,
( ~ sQ7_spl
| sK1_skl = sum(sum(pred(n7),succ(n7)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f247,f3908]) ).
fof(f6447,plain,
( ~ sQ7_spl
| sK1_skl = sum(sum(n6,succ(n7)),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f6446]) ).
fof(f6448,plain,
( ~ sQ7_spl
| sK1_skl = sum(sum(n6,n8),sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f6447]) ).
fof(f6449,plain,
( ~ sQ7_spl
| sK1_skl = sum(n3,sum(pred(sK21_skl),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f6448]) ).
fof(f6450,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK1_skl = sum(n3,sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f263,f6449]) ).
fof(f6465,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(n7),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f6434]) ).
fof(f6466,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(n6,succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f6465]) ).
fof(f6467,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n6,succ(n1)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f263,f6466]) ).
fof(f6468,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n6,n2),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f5,f6467]) ).
fof(f6469,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK0_skl = sum(n8,sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f94,f6468]) ).
fof(f6470,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK0_skl = sum(n8,sum(pred(n1),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f263,f6469]) ).
fof(f6471,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK0_skl = sum(n8,sum(n0,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f16,f6470]) ).
fof(f6472,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK0_skl = sum(n8,sum(n0,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f6471]) ).
fof(f6473,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK0_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f34,f6472]) ).
fof(f6476,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ12_spl
| n5 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f6477,f295]) ).
fof(f6477,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK0_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f6473]) ).
fof(f6478,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK1_skl = sum(n3,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f6450]) ).
fof(f6479,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK1_skl = sum(n3,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f6478]) ).
fof(f6480,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK1_skl = sum(n3,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f6479]) ).
fof(f6481,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK1_skl = sum(n3,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f6480]) ).
fof(f6482,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sK1_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f61,f6481]) ).
fof(f6512,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ12_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f6482,f6476]) ).
fof(f6513,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6512]) ).
fof(f6514,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f6513]) ).
fof(f6551,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK1_skl = sum(n4,sum(pred(n9),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f287,f4459]) ).
fof(f6552,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK1_skl = sum(n4,sum(n8,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f6551]) ).
fof(f6553,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK1_skl = sum(n4,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f287,f6552]) ).
fof(f6554,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK1_skl = sum(n4,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f6553]) ).
fof(f6555,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK1_skl = sum(n4,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f6554]) ).
fof(f6556,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ20_spl
| sK0_skl != n0 ),
inference(backward_demodulation,[status(thm)],[f6559,f295]) ).
fof(f6559,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK1_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f77,f6555]) ).
fof(f6560,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n1,succ(n9)),sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f287,f4462]) ).
fof(f6561,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK0_skl = sum(sum(n1,n10),sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f13,f6560]) ).
fof(f6562,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK0_skl = sum(n0,sum(pred(sK21_skl),n3)) ),
inference(forward_demodulation,[status(thm)],[f47,f6561]) ).
fof(f6563,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK0_skl = sum(n0,sum(pred(n9),n3)) ),
inference(forward_demodulation,[status(thm)],[f287,f6562]) ).
fof(f6564,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK0_skl = sum(n0,sum(n8,n3)) ),
inference(forward_demodulation,[status(thm)],[f24,f6563]) ).
fof(f6565,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK0_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f117,f6564]) ).
fof(f6566,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sK0_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f6565]) ).
fof(f6588,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ20_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f6566,f6556]) ).
fof(f6589,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6588]) ).
fof(f6590,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f6589]) ).
fof(f6621,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(pred(n5),succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f241,f324]) ).
fof(f6622,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f20,f6621]) ).
fof(f6623,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,succ(n5)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f241,f6622]) ).
fof(f6624,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,n6),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f9,f6623]) ).
fof(f6625,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f76,f6624]) ).
fof(f6626,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f290,f6625]) ).
fof(f6627,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f6626]) ).
fof(f6628,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f6627]) ).
fof(f6629,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f6628]) ).
fof(f6632,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ5_spl
| sK0_skl != n8 ),
inference(backward_demodulation,[status(thm)],[f6633,f295]) ).
fof(f6633,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK1_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f145,f6629]) ).
fof(f6634,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(pred(n5),succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f241,f325]) ).
fof(f6635,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(n4,succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f6634]) ).
fof(f6636,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(n4,succ(n10)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f6635]) ).
fof(f6637,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(n4,n0),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f6636]) ).
fof(f6638,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK0_skl = sum(n4,sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f70,f6637]) ).
fof(f6639,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK0_skl = sum(n4,sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f6638]) ).
fof(f6640,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK0_skl = sum(n4,sum(n9,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f6639]) ).
fof(f6641,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK0_skl = sum(n4,sum(n9,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f6640]) ).
fof(f6642,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK0_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f131,f6641]) ).
fof(f6643,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sK0_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f6642]) ).
fof(f6694,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ5_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f6643,f6632]) ).
fof(f6695,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6694]) ).
fof(f6696,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f6695]) ).
fof(f6717,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n2,succ(n7)),sum(pred(sK21_skl),n4)) ),
inference(forward_demodulation,[status(thm)],[f281,f1896]) ).
fof(f6718,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n2,n8),sum(pred(sK21_skl),n4)) ),
inference(forward_demodulation,[status(thm)],[f11,f6717]) ).
fof(f6719,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK0_skl = sum(n10,sum(pred(sK21_skl),n4)) ),
inference(forward_demodulation,[status(thm)],[f56,f6718]) ).
fof(f6720,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK0_skl = sum(n10,sum(pred(n7),n4)) ),
inference(forward_demodulation,[status(thm)],[f281,f6719]) ).
fof(f6721,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK0_skl = sum(n10,sum(n6,n4)) ),
inference(forward_demodulation,[status(thm)],[f22,f6720]) ).
fof(f6722,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK0_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f96,f6721]) ).
fof(f6723,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ18_spl
| n9 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f6726,f295]) ).
fof(f6726,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK0_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f6722]) ).
fof(f6727,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK1_skl = sum(n6,sum(pred(n7),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f281,f1278]) ).
fof(f6728,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK1_skl = sum(n6,sum(n6,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f6727]) ).
fof(f6729,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK1_skl = sum(n6,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f281,f6728]) ).
fof(f6730,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK1_skl = sum(n6,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f6729]) ).
fof(f6731,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK1_skl = sum(n6,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f6730]) ).
fof(f6732,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sK1_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f95,f6731]) ).
fof(f6782,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ18_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f6732,f6723]) ).
fof(f6783,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6782]) ).
fof(f6784,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f6783]) ).
fof(f6796,plain,
( ~ sQ13_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f266,f4661]) ).
fof(f6797,plain,
( ~ sQ13_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f6796]) ).
fof(f6798,plain,
( ~ sQ13_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f6797]) ).
fof(f6799,plain,
( ~ sQ13_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),n4) ),
inference(forward_demodulation,[status(thm)],[f40,f6798]) ).
fof(f6800,plain,
( ~ sQ13_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(n2)),sum(pred(n2),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f266,f4662]) ).
fof(f6801,plain,
( ~ sQ13_spl
| sK0_skl = sum(sum(pred(sK20_skl),n3),sum(pred(n2),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f6800]) ).
fof(f6802,plain,
( ~ sQ13_spl
| sK0_skl = sum(sum(pred(sK20_skl),n3),sum(n1,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f6801]) ).
fof(f6814,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n7,succ(n2)),sum(pred(sK21_skl),n9)) ),
inference(forward_demodulation,[status(thm)],[f266,f1688]) ).
fof(f6815,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n7,n3),sum(pred(sK21_skl),n9)) ),
inference(forward_demodulation,[status(thm)],[f6,f6814]) ).
fof(f6816,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK0_skl = sum(n10,sum(pred(sK21_skl),n9)) ),
inference(forward_demodulation,[status(thm)],[f106,f6815]) ).
fof(f6817,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK0_skl = sum(n10,sum(pred(n2),n9)) ),
inference(forward_demodulation,[status(thm)],[f266,f6816]) ).
fof(f6818,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK0_skl = sum(n10,sum(n1,n9)) ),
inference(forward_demodulation,[status(thm)],[f17,f6817]) ).
fof(f6819,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK0_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f46,f6818]) ).
fof(f6822,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ13_spl
| n9 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f6823,f295]) ).
fof(f6823,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK0_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f6819]) ).
fof(f6824,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK1_skl = sum(n5,sum(pred(n2),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f266,f902]) ).
fof(f6825,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK1_skl = sum(n5,sum(n1,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f6824]) ).
fof(f6826,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK1_skl = sum(n5,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f266,f6825]) ).
fof(f6827,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK1_skl = sum(n5,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f6826]) ).
fof(f6828,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK1_skl = sum(n5,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f6827]) ).
fof(f6829,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sK1_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f85,f6828]) ).
fof(f6892,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ13_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f6829,f6822]) ).
fof(f6893,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6892]) ).
fof(f6894,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f6893]) ).
fof(f6924,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(pred(n4),n6),sum(n4,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f238,f4775]) ).
fof(f6925,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,n6),sum(n4,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f6924]) ).
fof(f6926,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK0_skl = sum(n9,sum(n4,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f65,f6925]) ).
fof(f6927,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK0_skl = sum(n9,sum(n4,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f238,f6926]) ).
fof(f6928,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK0_skl = sum(n9,sum(n4,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f6927]) ).
fof(f6929,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK0_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f75,f6928]) ).
fof(f6930,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ4_spl
| n7 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f6933,f295]) ).
fof(f6933,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK0_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f6929]) ).
fof(f6934,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(pred(n4),succ(sK20_skl)),n10) ),
inference(forward_demodulation,[status(thm)],[f238,f4779]) ).
fof(f6935,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(sK20_skl)),n10) ),
inference(forward_demodulation,[status(thm)],[f19,f6934]) ).
fof(f6936,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(n4)),n10) ),
inference(forward_demodulation,[status(thm)],[f238,f6935]) ).
fof(f6937,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,n5),n10) ),
inference(forward_demodulation,[status(thm)],[f8,f6936]) ).
fof(f6938,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,n10) ),
inference(forward_demodulation,[status(thm)],[f64,f6937]) ).
fof(f6939,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| sK1_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f124,f6938]) ).
fof(f6987,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ4_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f6939,f6930]) ).
fof(f6988,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6987]) ).
fof(f6989,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f6988]) ).
fof(f6990,plain,
( ~ sQ17_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f278,f150]) ).
fof(f6991,plain,
( ~ sQ17_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n6),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f278,f149]) ).
fof(f7011,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n9,succ(n6)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f278,f356]) ).
fof(f7012,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK0_skl = sum(sum(n9,n7),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f7011]) ).
fof(f7013,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK0_skl = sum(n5,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f132,f7012]) ).
fof(f7014,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK0_skl = sum(n5,sum(pred(n6),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f278,f7013]) ).
fof(f7015,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK0_skl = sum(n5,sum(n5,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f7014]) ).
fof(f7016,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK0_skl = sum(n5,sum(n5,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f256,f7015]) ).
fof(f7017,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK0_skl = sum(n5,sum(n5,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f7016]) ).
fof(f7018,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK0_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f81,f7017]) ).
fof(f7021,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ17_spl
| n10 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f7022,f295]) ).
fof(f7022,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK0_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f7018]) ).
fof(f7023,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK1_skl = sum(n9,sum(pred(n6),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f278,f345]) ).
fof(f7024,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK1_skl = sum(n9,sum(n5,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f7023]) ).
fof(f7025,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK1_skl = sum(n9,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f7024]) ).
fof(f7026,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK1_skl = sum(n9,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f7025]) ).
fof(f7027,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK1_skl = sum(n9,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f7026]) ).
fof(f7028,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| sK1_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f126,f7027]) ).
fof(f7072,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ17_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f7028,f7021]) ).
fof(f7073,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7072]) ).
fof(f7074,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f7073]) ).
fof(f7106,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(pred(n9),succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f253,f505]) ).
fof(f7107,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f24,f7106]) ).
fof(f7108,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,succ(n9)),n0) ),
inference(forward_demodulation,[status(thm)],[f253,f7107]) ).
fof(f7109,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK1_skl = sum(sum(n8,n10),n0) ),
inference(forward_demodulation,[status(thm)],[f13,f7108]) ).
fof(f7110,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK1_skl = sum(n7,n0) ),
inference(forward_demodulation,[status(thm)],[f124,f7109]) ).
fof(f7111,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ9_spl
| sK0_skl != n7 ),
inference(backward_demodulation,[status(thm)],[f7114,f295]) ).
fof(f7114,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK1_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f103,f7110]) ).
fof(f7115,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(pred(n9),n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f253,f500]) ).
fof(f7116,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK0_skl = sum(sum(n8,n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f7115]) ).
fof(f7117,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK0_skl = sum(n9,sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f115,f7116]) ).
fof(f7118,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK0_skl = sum(n9,sum(n10,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f253,f7117]) ).
fof(f7119,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK0_skl = sum(n9,sum(n10,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f7118]) ).
fof(f7120,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK0_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f146,f7119]) ).
fof(f7121,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| sK0_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f7120]) ).
fof(f7133,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ9_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f7121,f7111]) ).
fof(f7134,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7133]) ).
fof(f7135,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f7134]) ).
fof(f7160,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK0_skl = sum(sum(pred(n0),succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f226,f325]) ).
fof(f7161,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK0_skl = sum(sum(n10,succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f7160]) ).
fof(f7162,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK0_skl = sum(sum(n10,succ(n10)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f7161]) ).
fof(f7163,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK0_skl = sum(sum(n10,n0),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f7162]) ).
fof(f7164,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK0_skl = sum(n10,sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f136,f7163]) ).
fof(f7165,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK0_skl = sum(n10,sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f7164]) ).
fof(f7166,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK0_skl = sum(n10,sum(n9,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f226,f7165]) ).
fof(f7167,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK0_skl = sum(n10,sum(n9,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f7166]) ).
fof(f7168,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK0_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f126,f7167]) ).
fof(f7171,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ0_spl
| n9 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f7172,f295]) ).
fof(f7172,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK0_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f7168]) ).
fof(f7173,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK1_skl = sum(sum(pred(n0),succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f226,f324]) ).
fof(f7174,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK1_skl = sum(sum(n10,succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f15,f7173]) ).
fof(f7175,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK1_skl = sum(sum(n10,succ(n0)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f226,f7174]) ).
fof(f7176,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK1_skl = sum(sum(n10,n1),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f4,f7175]) ).
fof(f7177,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK1_skl = sum(n0,sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f137,f7176]) ).
fof(f7178,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK1_skl = sum(n0,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f290,f7177]) ).
fof(f7179,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK1_skl = sum(n0,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f7178]) ).
fof(f7180,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK1_skl = sum(n0,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f7179]) ).
fof(f7181,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK1_skl = sum(n0,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f7180]) ).
fof(f7182,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sK1_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f35,f7181]) ).
fof(f7233,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ0_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f7182,f7171]) ).
fof(f7234,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7233]) ).
fof(f7235,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f7234]) ).
fof(f7236,plain,
( ~ sQ14_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n3),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f269,f149]) ).
fof(f7237,plain,
( ~ sQ14_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f269,f150]) ).
fof(f7238,plain,
( ~ sQ14_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f4164]) ).
fof(f7239,plain,
( ~ sQ14_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f7238]) ).
fof(f7240,plain,
( ~ sQ14_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f7239]) ).
fof(f7241,plain,
( ~ sQ14_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),n6) ),
inference(forward_demodulation,[status(thm)],[f52,f7240]) ).
fof(f7242,plain,
( ~ sQ14_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(n3)),sum(pred(n3),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f269,f4165]) ).
fof(f7243,plain,
( ~ sQ14_spl
| sK0_skl = sum(sum(pred(sK20_skl),n4),sum(pred(n3),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f7242]) ).
fof(f7244,plain,
( ~ sQ14_spl
| sK0_skl = sum(sum(pred(sK20_skl),n4),sum(n2,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f7243]) ).
fof(f7257,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK1_skl = sum(n9,sum(pred(n3),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f269,f345]) ).
fof(f7258,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK1_skl = sum(n9,sum(n2,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f7257]) ).
fof(f7259,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK1_skl = sum(n9,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f7258]) ).
fof(f7260,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK1_skl = sum(n9,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f7259]) ).
fof(f7261,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK1_skl = sum(n9,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f7260]) ).
fof(f7262,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ14_spl
| sK0_skl != n4 ),
inference(backward_demodulation,[status(thm)],[f7265,f295]) ).
fof(f7265,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK1_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f131,f7261]) ).
fof(f7266,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n9,succ(n3)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f269,f356]) ).
fof(f7267,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK0_skl = sum(sum(n9,n4),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f7266]) ).
fof(f7268,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK0_skl = sum(n2,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f129,f7267]) ).
fof(f7269,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK0_skl = sum(n2,sum(pred(n3),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f269,f7268]) ).
fof(f7270,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK0_skl = sum(n2,sum(n2,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f7269]) ).
fof(f7271,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK0_skl = sum(n2,sum(n2,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f256,f7270]) ).
fof(f7272,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK0_skl = sum(n2,sum(n2,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f7271]) ).
fof(f7273,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK0_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f48,f7272]) ).
fof(f7274,plain,
( ~ sQ10_spl
| ~ sQ14_spl
| sK0_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f7273]) ).
fof(f7315,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ14_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f7274,f7262]) ).
fof(f7316,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7315]) ).
fof(f7317,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f7316]) ).
fof(f7343,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK1_skl = sum(n1,sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f263,f816]) ).
fof(f7344,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n5,succ(sK21_skl)),sum(pred(n1),n7)) ),
inference(backward_demodulation,[status(thm)],[f263,f1376]) ).
fof(f7355,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK1_skl = sum(n1,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f7343]) ).
fof(f7356,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK1_skl = sum(n1,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f7355]) ).
fof(f7357,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK1_skl = sum(n1,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f7356]) ).
fof(f7358,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK1_skl = sum(n1,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f7357]) ).
fof(f7361,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ12_spl
| sK0_skl != n3 ),
inference(backward_demodulation,[status(thm)],[f7362,f295]) ).
fof(f7362,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK1_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f39,f7358]) ).
fof(f7363,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n5,succ(n1)),sum(pred(n1),n7)) ),
inference(forward_demodulation,[status(thm)],[f263,f7344]) ).
fof(f7364,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n5,n2),sum(pred(n1),n7)) ),
inference(forward_demodulation,[status(thm)],[f5,f7363]) ).
fof(f7365,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK0_skl = sum(n7,sum(pred(n1),n7)) ),
inference(forward_demodulation,[status(thm)],[f83,f7364]) ).
fof(f7366,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK0_skl = sum(n7,sum(n0,n7)) ),
inference(forward_demodulation,[status(thm)],[f16,f7365]) ).
fof(f7367,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK0_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f33,f7366]) ).
fof(f7368,plain,
( ~ sQ6_spl
| ~ sQ12_spl
| sK0_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f7367]) ).
fof(f7392,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ12_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f7368,f7361]) ).
fof(f7393,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7392]) ).
fof(f7394,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f7393]) ).
fof(f7418,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(pred(n3),succ(sK20_skl)),n8) ),
inference(forward_demodulation,[status(thm)],[f235,f6204]) ).
fof(f7419,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(sK20_skl)),n8) ),
inference(forward_demodulation,[status(thm)],[f18,f7418]) ).
fof(f7420,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(n3)),n8) ),
inference(forward_demodulation,[status(thm)],[f235,f7419]) ).
fof(f7421,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,n4),n8) ),
inference(forward_demodulation,[status(thm)],[f7,f7420]) ).
fof(f7422,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,n8) ),
inference(forward_demodulation,[status(thm)],[f52,f7421]) ).
fof(f7423,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ3_spl
| sK0_skl != n3 ),
inference(backward_demodulation,[status(thm)],[f7426,f295]) ).
fof(f7426,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK1_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f100,f7422]) ).
fof(f7427,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(pred(n3),n5),sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f235,f6200]) ).
fof(f7428,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(n2,n5),sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f7427]) ).
fof(f7429,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK0_skl = sum(n7,sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f53,f7428]) ).
fof(f7430,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK0_skl = sum(n7,sum(n3,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f235,f7429]) ).
fof(f7431,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK0_skl = sum(n7,sum(n3,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f7430]) ).
fof(f7432,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK0_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f63,f7431]) ).
fof(f7433,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sK0_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f7432]) ).
fof(f7482,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ3_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f7433,f7423]) ).
fof(f7483,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7482]) ).
fof(f7484,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f7483]) ).
fof(f7509,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(pred(n1),succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f229,f324]) ).
fof(f7510,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f16,f7509]) ).
fof(f7511,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,succ(n1)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f229,f7510]) ).
fof(f7512,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,n2),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f5,f7511]) ).
fof(f7513,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f28,f7512]) ).
fof(f7514,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f290,f7513]) ).
fof(f7515,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f7514]) ).
fof(f7516,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f7515]) ).
fof(f7517,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f7516]) ).
fof(f7520,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ1_spl
| sK0_skl != n0 ),
inference(backward_demodulation,[status(thm)],[f7521,f295]) ).
fof(f7521,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK1_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f57,f7517]) ).
fof(f7522,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(pred(n1),succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f229,f325]) ).
fof(f7523,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(n0,succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f7522]) ).
fof(f7524,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(n0,succ(n10)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f7523]) ).
fof(f7525,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(n0,n0),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f7524]) ).
fof(f7526,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK0_skl = sum(n0,sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f26,f7525]) ).
fof(f7527,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK0_skl = sum(n0,sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f7526]) ).
fof(f7528,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK0_skl = sum(n0,sum(n9,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f229,f7527]) ).
fof(f7529,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK0_skl = sum(n0,sum(n9,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f7528]) ).
fof(f7530,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK0_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f127,f7529]) ).
fof(f7531,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| sK0_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f7530]) ).
fof(f7582,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ1_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f7531,f7520]) ).
fof(f7583,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7582]) ).
fof(f7584,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f7583]) ).
fof(f7605,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(pred(n5),succ(sK20_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f5668]) ).
fof(f7606,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,succ(sK20_skl)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f7605]) ).
fof(f7607,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,succ(n5)),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f7606]) ).
fof(f7608,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,n6),sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f9,f7607]) ).
fof(f7609,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,sum(pred(sK21_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f76,f7608]) ).
fof(f7610,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f275,f7609]) ).
fof(f7611,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f7610]) ).
fof(f7612,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f7611]) ).
fof(f7613,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f7612]) ).
fof(f7614,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ5_spl
| sK0_skl != n9 ),
inference(backward_demodulation,[status(thm)],[f7617,f295]) ).
fof(f7617,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK1_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f7613]) ).
fof(f7618,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(pred(n5),succ(sK21_skl)),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f241,f5669]) ).
fof(f7619,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(n4,succ(sK21_skl)),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f7618]) ).
fof(f7620,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(n4,succ(n5)),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f275,f7619]) ).
fof(f7621,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(n4,n6),sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f7620]) ).
fof(f7622,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK0_skl = sum(n10,sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f76,f7621]) ).
fof(f7623,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK0_skl = sum(n10,sum(n4,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f7622]) ).
fof(f7624,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK0_skl = sum(n10,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f7623]) ).
fof(f7625,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK0_skl = sum(n10,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f7624]) ).
fof(f7626,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK0_skl = sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f7625]) ).
fof(f7627,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| sK0_skl = n9 ),
inference(forward_demodulation,[status(thm)],[f146,f7626]) ).
fof(f7678,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ5_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f7627,f7614]) ).
fof(f7679,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7678]) ).
fof(f7680,plain,
( sQ22_spl
| ~ sQ16_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f7679]) ).
fof(f7711,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK0_skl = sum(sum(pred(n0),n3),sum(n1,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f226,f6802]) ).
fof(f7712,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK0_skl = sum(sum(n10,n3),sum(n1,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f7711]) ).
fof(f7713,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK0_skl = sum(n2,sum(n1,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f139,f7712]) ).
fof(f7714,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK0_skl = sum(n2,sum(n1,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f226,f7713]) ).
fof(f7715,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK0_skl = sum(n2,sum(n1,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f7714]) ).
fof(f7716,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK0_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f38,f7715]) ).
fof(f7719,plain,
( sQ22_spl
| ~ sQ13_spl
| ~ sQ0_spl
| n4 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f7720,f295]) ).
fof(f7720,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK0_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f7716]) ).
fof(f7721,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK1_skl = sum(sum(pred(n0),succ(sK20_skl)),n4) ),
inference(forward_demodulation,[status(thm)],[f226,f6799]) ).
fof(f7722,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK1_skl = sum(sum(n10,succ(sK20_skl)),n4) ),
inference(forward_demodulation,[status(thm)],[f15,f7721]) ).
fof(f7723,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK1_skl = sum(sum(n10,succ(n0)),n4) ),
inference(forward_demodulation,[status(thm)],[f226,f7722]) ).
fof(f7724,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK1_skl = sum(sum(n10,n1),n4) ),
inference(forward_demodulation,[status(thm)],[f4,f7723]) ).
fof(f7725,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK1_skl = sum(n0,n4) ),
inference(forward_demodulation,[status(thm)],[f137,f7724]) ).
fof(f7726,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sK1_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f30,f7725]) ).
fof(f7797,plain,
( sQ22_spl
| ~ sQ13_spl
| ~ sQ0_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f7726,f7719]) ).
fof(f7798,plain,
( sQ22_spl
| ~ sQ13_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7797]) ).
fof(f7799,plain,
( sQ22_spl
| ~ sQ13_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f7798]) ).
fof(f7822,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK0_skl = sum(sum(pred(n6),n8),sum(n6,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f244,f5489]) ).
fof(f7823,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK0_skl = sum(sum(n5,n8),sum(n6,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f7822]) ).
fof(f7824,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK0_skl = sum(n2,sum(n6,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f89,f7823]) ).
fof(f7825,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK0_skl = sum(n2,sum(n6,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f244,f7824]) ).
fof(f7826,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK0_skl = sum(n2,sum(n6,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f7825]) ).
fof(f7827,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK0_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f99,f7826]) ).
fof(f7828,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ6_spl
| n4 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f7831,f295]) ).
fof(f7831,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK0_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f7827]) ).
fof(f7832,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(pred(n6),succ(sK20_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f244,f5493]) ).
fof(f7833,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,succ(sK20_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f21,f7832]) ).
fof(f7834,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,succ(n6)),n3) ),
inference(forward_demodulation,[status(thm)],[f244,f7833]) ).
fof(f7835,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,n7),n3) ),
inference(forward_demodulation,[status(thm)],[f10,f7834]) ).
fof(f7836,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK1_skl = sum(n1,n3) ),
inference(forward_demodulation,[status(thm)],[f88,f7835]) ).
fof(f7837,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sK1_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f40,f7836]) ).
fof(f7886,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ6_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f7837,f7828]) ).
fof(f7887,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7886]) ).
fof(f7888,plain,
( sQ22_spl
| ~ sQ18_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f7887]) ).
fof(f7913,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(pred(n7),succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f247,f325]) ).
fof(f7914,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(n6,succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f7913]) ).
fof(f7915,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(n6,succ(n10)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f7914]) ).
fof(f7916,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(n6,n0),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f7915]) ).
fof(f7917,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK0_skl = sum(n6,sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f92,f7916]) ).
fof(f7918,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK0_skl = sum(n6,sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f7917]) ).
fof(f7919,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK0_skl = sum(n6,sum(n9,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f7918]) ).
fof(f7920,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK0_skl = sum(n6,sum(n9,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f7919]) ).
fof(f7921,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK0_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f133,f7920]) ).
fof(f7924,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ7_spl
| n1 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f7925,f295]) ).
fof(f7925,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK0_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f7921]) ).
fof(f7926,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(pred(n7),succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f247,f324]) ).
fof(f7927,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f22,f7926]) ).
fof(f7928,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,succ(n7)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f247,f7927]) ).
fof(f7929,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,n8),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f11,f7928]) ).
fof(f7930,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f100,f7929]) ).
fof(f7931,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f290,f7930]) ).
fof(f7932,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f7931]) ).
fof(f7933,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f7932]) ).
fof(f7934,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f7933]) ).
fof(f7935,plain,
( ~ sQ21_spl
| ~ sQ7_spl
| sK1_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f68,f7934]) ).
fof(f7986,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ7_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f7935,f7924]) ).
fof(f7987,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7986]) ).
fof(f7988,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f7987]) ).
fof(f8010,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(pred(n1),n4),sum(n2,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f229,f7244]) ).
fof(f8011,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK0_skl = sum(sum(n0,n4),sum(n2,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f8010]) ).
fof(f8012,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK0_skl = sum(n4,sum(n2,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f30,f8011]) ).
fof(f8013,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK0_skl = sum(n4,sum(n2,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f229,f8012]) ).
fof(f8014,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK0_skl = sum(n4,sum(n2,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f8013]) ).
fof(f8015,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK0_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f50,f8014]) ).
fof(f8016,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ1_spl
| n8 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f8019,f295]) ).
fof(f8019,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK0_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f8015]) ).
fof(f8020,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(pred(n1),succ(sK20_skl)),n6) ),
inference(forward_demodulation,[status(thm)],[f229,f7241]) ).
fof(f8021,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,succ(sK20_skl)),n6) ),
inference(forward_demodulation,[status(thm)],[f16,f8020]) ).
fof(f8022,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,succ(n1)),n6) ),
inference(forward_demodulation,[status(thm)],[f229,f8021]) ).
fof(f8023,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK1_skl = sum(sum(n0,n2),n6) ),
inference(forward_demodulation,[status(thm)],[f5,f8022]) ).
fof(f8024,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK1_skl = sum(n2,n6) ),
inference(forward_demodulation,[status(thm)],[f28,f8023]) ).
fof(f8025,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sK1_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f54,f8024]) ).
fof(f8083,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ1_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f8025,f8016]) ).
fof(f8084,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8083]) ).
fof(f8085,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f8084]) ).
fof(f8096,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f247,f149]) ).
fof(f8114,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK1_skl = sum(n3,sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f284,f6449]) ).
fof(f8120,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(pred(n7),succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f8096]) ).
fof(f8121,plain,
( ~ sQ7_spl
| sK0_skl = sum(sum(n6,succ(sK21_skl)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f8120]) ).
fof(f8122,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n6,succ(n8)),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f284,f8121]) ).
fof(f8123,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n6,n9),sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f12,f8122]) ).
fof(f8124,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK0_skl = sum(n4,sum(pred(sK21_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f101,f8123]) ).
fof(f8125,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK0_skl = sum(n4,sum(pred(n8),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f284,f8124]) ).
fof(f8126,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK0_skl = sum(n4,sum(n7,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f23,f8125]) ).
fof(f8127,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK0_skl = sum(n4,sum(n7,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f8126]) ).
fof(f8128,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK0_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f111,f8127]) ).
fof(f8131,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ19_spl
| n8 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f8132,f295]) ).
fof(f8132,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK0_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f8128]) ).
fof(f8133,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK1_skl = sum(n3,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f8114]) ).
fof(f8134,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK1_skl = sum(n3,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f8133]) ).
fof(f8135,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK1_skl = sum(n3,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f8134]) ).
fof(f8136,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK1_skl = sum(n3,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f8135]) ).
fof(f8137,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sK1_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f64,f8136]) ).
fof(f8167,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ19_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f8137,f8131]) ).
fof(f8168,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8167]) ).
fof(f8169,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f8168]) ).
fof(f8199,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(pred(n4),succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f238,f324]) ).
fof(f8200,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(sK20_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f19,f8199]) ).
fof(f8201,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(n4)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f238,f8200]) ).
fof(f8202,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,n5),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f8,f8201]) ).
fof(f8203,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f64,f8202]) ).
fof(f8204,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f290,f8203]) ).
fof(f8205,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f8204]) ).
fof(f8206,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f8205]) ).
fof(f8207,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f8206]) ).
fof(f8208,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ4_spl
| sK0_skl != n6 ),
inference(backward_demodulation,[status(thm)],[f8211,f295]) ).
fof(f8211,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK1_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f123,f8207]) ).
fof(f8212,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(pred(n4),succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f238,f325]) ).
fof(f8213,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,succ(sK21_skl)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f8212]) ).
fof(f8214,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,succ(n10)),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f8213]) ).
fof(f8215,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,n0),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f8214]) ).
fof(f8216,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK0_skl = sum(n3,sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f59,f8215]) ).
fof(f8217,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK0_skl = sum(n3,sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f8216]) ).
fof(f8218,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK0_skl = sum(n3,sum(n9,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f238,f8217]) ).
fof(f8219,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK0_skl = sum(n3,sum(n9,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f8218]) ).
fof(f8220,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK0_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f130,f8219]) ).
fof(f8221,plain,
( ~ sQ21_spl
| ~ sQ4_spl
| sK0_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f8220]) ).
fof(f8249,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ4_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f8221,f8208]) ).
fof(f8250,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8249]) ).
fof(f8251,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f8250]) ).
fof(f8252,plain,
( ~ sQ21_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(n10)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f149]) ).
fof(f8253,plain,
( ~ sQ21_spl
| sK0_skl = sum(sum(pred(sK20_skl),n0),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f8252]) ).
fof(f8254,plain,
( ~ sQ21_spl
| sK0_skl = sum(sum(pred(sK20_skl),n0),sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f8253]) ).
fof(f8255,plain,
( ~ sQ21_spl
| sK0_skl = sum(sum(pred(sK20_skl),n0),sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f8254]) ).
fof(f8256,plain,
( ~ sQ21_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(n10),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f150]) ).
fof(f8257,plain,
( ~ sQ21_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n9,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f8256]) ).
fof(f8258,plain,
( ~ sQ21_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f290,f8257]) ).
fof(f8259,plain,
( ~ sQ21_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f8258]) ).
fof(f8260,plain,
( ~ sQ21_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),n9) ),
inference(forward_demodulation,[status(thm)],[f125,f8259]) ).
fof(f8279,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK0_skl = sum(sum(n1,succ(n10)),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f290,f5203]) ).
fof(f8280,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK0_skl = sum(sum(n1,n0),sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f14,f8279]) ).
fof(f8281,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK0_skl = sum(n1,sum(pred(sK21_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f37,f8280]) ).
fof(f8282,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK0_skl = sum(n1,sum(pred(n10),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f290,f8281]) ).
fof(f8283,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK0_skl = sum(n1,sum(n9,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f25,f8282]) ).
fof(f8284,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK0_skl = sum(n1,sum(n9,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f8283]) ).
fof(f8285,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK0_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f128,f8284]) ).
fof(f8288,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ21_spl
| n2 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f8289,f295]) ).
fof(f8289,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK0_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f8285]) ).
fof(f8297,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK1_skl = sum(n4,sum(pred(n10),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f4459]) ).
fof(f8298,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK1_skl = sum(n4,sum(n9,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f8297]) ).
fof(f8299,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK1_skl = sum(n4,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f290,f8298]) ).
fof(f8300,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK1_skl = sum(n4,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f8299]) ).
fof(f8301,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK1_skl = sum(n4,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f8300]) ).
fof(f8302,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sK1_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f79,f8301]) ).
fof(f8337,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ21_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f8302,f8288]) ).
fof(f8338,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8337]) ).
fof(f8339,plain,
( sQ22_spl
| ~ sQ2_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f8338]) ).
fof(f8376,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ13_spl
| n7 != sK1_skl ),
inference(forward_demodulation,[status(thm)],[f719,f295]) ).
fof(f8377,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ13_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f709,f8376]) ).
fof(f8378,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8377]) ).
fof(f8379,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f8378]) ).
fof(f8403,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(pred(n7),n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f247,f500]) ).
fof(f8404,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK0_skl = sum(sum(n6,n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f8403]) ).
fof(f8405,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK0_skl = sum(n7,sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f93,f8404]) ).
fof(f8406,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK0_skl = sum(n7,sum(n10,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f247,f8405]) ).
fof(f8407,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK0_skl = sum(n7,sum(n10,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f8406]) ).
fof(f8408,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK0_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f144,f8407]) ).
fof(f8411,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ7_spl
| n3 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f8412,f295]) ).
fof(f8412,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK0_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f8408]) ).
fof(f8413,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(pred(n7),succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f247,f505]) ).
fof(f8414,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f22,f8413]) ).
fof(f8415,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,succ(n7)),n0) ),
inference(forward_demodulation,[status(thm)],[f247,f8414]) ).
fof(f8416,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK1_skl = sum(sum(n6,n8),n0) ),
inference(forward_demodulation,[status(thm)],[f11,f8415]) ).
fof(f8417,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK1_skl = sum(n3,n0) ),
inference(forward_demodulation,[status(thm)],[f100,f8416]) ).
fof(f8418,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sK1_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f59,f8417]) ).
fof(f8453,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ7_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f8418,f8411]) ).
fof(f8454,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8453]) ).
fof(f8455,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f8454]) ).
fof(f8471,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK0_skl = sum(sum(pred(n8),succ(sK21_skl)),sum(pred(n6),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f250,f6991]) ).
fof(f8472,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK0_skl = sum(sum(n7,succ(sK21_skl)),sum(pred(n6),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f8471]) ).
fof(f8473,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK0_skl = sum(sum(n7,succ(n6)),sum(pred(n6),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f278,f8472]) ).
fof(f8474,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK0_skl = sum(sum(n7,n7),sum(pred(n6),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f8473]) ).
fof(f8475,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK0_skl = sum(n3,sum(pred(n6),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f110,f8474]) ).
fof(f8476,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK0_skl = sum(n3,sum(n5,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f8475]) ).
fof(f8477,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK0_skl = sum(n3,sum(n5,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f250,f8476]) ).
fof(f8478,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK0_skl = sum(n3,sum(n5,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f8477]) ).
fof(f8479,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK0_skl = sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f90,f8478]) ).
fof(f8480,plain,
( sQ22_spl
| ~ sQ17_spl
| ~ sQ8_spl
| n6 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f8483,f295]) ).
fof(f8483,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK0_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f62,f8479]) ).
fof(f8484,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(pred(n8),succ(sK20_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f250,f6990]) ).
fof(f8485,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(n7,succ(sK20_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f23,f8484]) ).
fof(f8486,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(n7,succ(n8)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f250,f8485]) ).
fof(f8487,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(n7,n9),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f12,f8486]) ).
fof(f8488,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK1_skl = sum(n5,sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f112,f8487]) ).
fof(f8489,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK1_skl = sum(n5,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f8488]) ).
fof(f8490,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK1_skl = sum(n5,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f8489]) ).
fof(f8491,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK1_skl = sum(n5,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f8490]) ).
fof(f8492,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK1_skl = sum(n5,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f8491]) ).
fof(f8493,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sK1_skl = n6 ),
inference(forward_demodulation,[status(thm)],[f82,f8492]) ).
fof(f8530,plain,
( sQ22_spl
| ~ sQ17_spl
| ~ sQ8_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f8493,f8480]) ).
fof(f8531,plain,
( sQ22_spl
| ~ sQ17_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8530]) ).
fof(f8532,plain,
( sQ22_spl
| ~ sQ17_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f8531]) ).
fof(f8563,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(pred(n4),succ(sK21_skl)),sum(pred(n3),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f238,f7236]) ).
fof(f8564,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,succ(sK21_skl)),sum(pred(n3),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f8563]) ).
fof(f8565,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,succ(n3)),sum(pred(n3),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f269,f8564]) ).
fof(f8566,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,n4),sum(pred(n3),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f8565]) ).
fof(f8567,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK0_skl = sum(n7,sum(pred(n3),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f63,f8566]) ).
fof(f8568,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK0_skl = sum(n7,sum(n2,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f8567]) ).
fof(f8569,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK0_skl = sum(n7,sum(n2,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f238,f8568]) ).
fof(f8570,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK0_skl = sum(n7,sum(n2,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f8569]) ).
fof(f8571,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK0_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f53,f8570]) ).
fof(f8574,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ4_spl
| n3 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f8575,f295]) ).
fof(f8575,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK0_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f8571]) ).
fof(f8576,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(pred(n4),succ(sK20_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f238,f7237]) ).
fof(f8577,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(sK20_skl)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f19,f8576]) ).
fof(f8578,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(n4)),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f238,f8577]) ).
fof(f8579,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,n5),sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f8,f8578]) ).
fof(f8580,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(pred(sK21_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f64,f8579]) ).
fof(f8581,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f269,f8580]) ).
fof(f8582,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f8581]) ).
fof(f8583,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f8582]) ).
fof(f8584,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f8583]) ).
fof(f8585,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| sK1_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f120,f8584]) ).
fof(f8650,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ4_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f8585,f8574]) ).
fof(f8651,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8650]) ).
fof(f8652,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f8651]) ).
fof(f8662,plain,
( ~ sQ19_spl
| sK1_skl = sum(sum(pred(sK20_skl),succ(sK20_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f284,f150]) ).
fof(f8663,plain,
( ~ sQ19_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(n8),succ(sK20_skl))) ),
inference(backward_demodulation,[status(thm)],[f284,f149]) ).
fof(f8674,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n9,succ(n8)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f284,f356]) ).
fof(f8675,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK0_skl = sum(sum(n9,n9),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f8674]) ).
fof(f8676,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK0_skl = sum(n7,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f134,f8675]) ).
fof(f8677,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK0_skl = sum(n7,sum(pred(n8),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f284,f8676]) ).
fof(f8678,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK0_skl = sum(n7,sum(n7,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f8677]) ).
fof(f8679,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK0_skl = sum(n7,sum(n7,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f256,f8678]) ).
fof(f8680,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK0_skl = sum(n7,sum(n7,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f8679]) ).
fof(f8681,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK0_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f103,f8680]) ).
fof(f8682,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ19_spl
| n3 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f8685,f295]) ).
fof(f8685,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK0_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f8681]) ).
fof(f8686,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK1_skl = sum(n9,sum(pred(n8),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f284,f345]) ).
fof(f8687,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK1_skl = sum(n9,sum(n7,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f8686]) ).
fof(f8688,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK1_skl = sum(n9,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f8687]) ).
fof(f8689,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK1_skl = sum(n9,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f8688]) ).
fof(f8690,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK1_skl = sum(n9,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f8689]) ).
fof(f8691,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sK1_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f130,f8690]) ).
fof(f8712,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ19_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f8691,f8682]) ).
fof(f8713,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8712]) ).
fof(f8714,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f8713]) ).
fof(f8728,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK0_skl = sum(sum(pred(n2),succ(sK21_skl)),sum(pred(n4),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f232,f6196]) ).
fof(f8729,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(sK21_skl)),sum(pred(n4),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f8728]) ).
fof(f8730,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK0_skl = sum(sum(n1,succ(n4)),sum(pred(n4),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f272,f8729]) ).
fof(f8731,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK0_skl = sum(sum(n1,n5),sum(pred(n4),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f8730]) ).
fof(f8732,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK0_skl = sum(n6,sum(pred(n4),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f42,f8731]) ).
fof(f8733,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK0_skl = sum(n6,sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f8732]) ).
fof(f8734,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK0_skl = sum(n6,sum(n3,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f232,f8733]) ).
fof(f8735,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK0_skl = sum(n6,sum(n3,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f8734]) ).
fof(f8736,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK0_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f62,f8735]) ).
fof(f8739,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ2_spl
| n1 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f8740,f295]) ).
fof(f8740,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK0_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f8736]) ).
fof(f8741,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(pred(n2),succ(sK20_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f232,f6197]) ).
fof(f8742,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(n1,succ(sK20_skl)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f17,f8741]) ).
fof(f8743,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(n1,succ(n2)),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f232,f8742]) ).
fof(f8744,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(n1,n3),sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f6,f8743]) ).
fof(f8745,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK1_skl = sum(n4,sum(pred(sK21_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f40,f8744]) ).
fof(f8746,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK1_skl = sum(n4,sum(pred(n4),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f272,f8745]) ).
fof(f8747,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK1_skl = sum(n4,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f8746]) ).
fof(f8748,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK1_skl = sum(n4,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f8747]) ).
fof(f8749,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK1_skl = sum(n4,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f8748]) ).
fof(f8750,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sK1_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f78,f8749]) ).
fof(f8825,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ2_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f8750,f8739]) ).
fof(f8826,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8825]) ).
fof(f8827,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f8826]) ).
fof(f8858,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(pred(n8),succ(sK20_skl)),n9) ),
inference(forward_demodulation,[status(thm)],[f250,f8260]) ).
fof(f8859,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(n7,succ(sK20_skl)),n9) ),
inference(forward_demodulation,[status(thm)],[f23,f8858]) ).
fof(f8860,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(n7,succ(n8)),n9) ),
inference(forward_demodulation,[status(thm)],[f250,f8859]) ).
fof(f8861,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(n7,n9),n9) ),
inference(forward_demodulation,[status(thm)],[f12,f8860]) ).
fof(f8862,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK1_skl = sum(n5,n9) ),
inference(forward_demodulation,[status(thm)],[f112,f8861]) ).
fof(f8863,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ8_spl
| sK0_skl != n3 ),
inference(backward_demodulation,[status(thm)],[f8866,f295]) ).
fof(f8866,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK1_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f90,f8862]) ).
fof(f8867,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK0_skl = sum(sum(pred(n8),n0),sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f250,f8255]) ).
fof(f8868,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK0_skl = sum(sum(n7,n0),sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f8867]) ).
fof(f8869,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK0_skl = sum(n7,sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f103,f8868]) ).
fof(f8870,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK0_skl = sum(n7,sum(n9,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f250,f8869]) ).
fof(f8871,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK0_skl = sum(n7,sum(n9,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f8870]) ).
fof(f8872,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK0_skl = sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f134,f8871]) ).
fof(f8873,plain,
( ~ sQ21_spl
| ~ sQ8_spl
| sK0_skl = n3 ),
inference(forward_demodulation,[status(thm)],[f110,f8872]) ).
fof(f8901,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ8_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f8873,f8863]) ).
fof(f8902,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8901]) ).
fof(f8903,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f8902]) ).
fof(f8926,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ14_spl
| n7 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f812,f295]) ).
fof(f9091,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ14_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f822,f8926]) ).
fof(f9092,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9091]) ).
fof(f9093,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f9092]) ).
fof(f9113,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK0_skl = sum(sum(pred(n6),n0),sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f244,f8255]) ).
fof(f9114,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK0_skl = sum(sum(n5,n0),sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f9113]) ).
fof(f9115,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK0_skl = sum(n5,sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f81,f9114]) ).
fof(f9116,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK0_skl = sum(n5,sum(n9,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f244,f9115]) ).
fof(f9117,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK0_skl = sum(n5,sum(n9,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f9116]) ).
fof(f9118,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK0_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f132,f9117]) ).
fof(f9119,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ6_spl
| n10 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f9122,f295]) ).
fof(f9122,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK0_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f9118]) ).
fof(f9123,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(pred(n6),succ(sK20_skl)),n9) ),
inference(forward_demodulation,[status(thm)],[f244,f8260]) ).
fof(f9124,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,succ(sK20_skl)),n9) ),
inference(forward_demodulation,[status(thm)],[f21,f9123]) ).
fof(f9125,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,succ(n6)),n9) ),
inference(forward_demodulation,[status(thm)],[f244,f9124]) ).
fof(f9126,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK1_skl = sum(sum(n5,n7),n9) ),
inference(forward_demodulation,[status(thm)],[f10,f9125]) ).
fof(f9127,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK1_skl = sum(n1,n9) ),
inference(forward_demodulation,[status(thm)],[f88,f9126]) ).
fof(f9128,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sK1_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f46,f9127]) ).
fof(f9140,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ6_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f9128,f9119]) ).
fof(f9141,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9140]) ).
fof(f9142,plain,
( sQ22_spl
| ~ sQ21_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f9141]) ).
fof(f9173,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(pred(n3),succ(sK20_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f235,f6990]) ).
fof(f9174,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(sK20_skl)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f18,f9173]) ).
fof(f9175,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(n3)),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f235,f9174]) ).
fof(f9176,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,n4),sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f7,f9175]) ).
fof(f9177,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(pred(sK21_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f52,f9176]) ).
fof(f9178,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f278,f9177]) ).
fof(f9179,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f9178]) ).
fof(f9180,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f9179]) ).
fof(f9181,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f9180]) ).
fof(f9184,plain,
( sQ22_spl
| ~ sQ17_spl
| ~ sQ3_spl
| sK0_skl != n7 ),
inference(backward_demodulation,[status(thm)],[f9185,f295]) ).
fof(f9185,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK1_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f93,f9181]) ).
fof(f9186,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(pred(n3),succ(sK21_skl)),sum(pred(n6),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f235,f6991]) ).
fof(f9187,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(n2,succ(sK21_skl)),sum(pred(n6),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f9186]) ).
fof(f9188,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(n2,succ(n6)),sum(pred(n6),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f278,f9187]) ).
fof(f9189,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(n2,n7),sum(pred(n6),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f9188]) ).
fof(f9190,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK0_skl = sum(n9,sum(pred(n6),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f55,f9189]) ).
fof(f9191,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK0_skl = sum(n9,sum(n5,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f9190]) ).
fof(f9192,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK0_skl = sum(n9,sum(n5,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f235,f9191]) ).
fof(f9193,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK0_skl = sum(n9,sum(n5,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f9192]) ).
fof(f9194,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK0_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f85,f9193]) ).
fof(f9195,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sK0_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f9194]) ).
fof(f9246,plain,
( sQ22_spl
| ~ sQ17_spl
| ~ sQ3_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f9195,f9184]) ).
fof(f9247,plain,
( sQ22_spl
| ~ sQ17_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9246]) ).
fof(f9248,plain,
( sQ22_spl
| ~ sQ17_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f9247]) ).
fof(f9280,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(pred(n4),succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f238,f505]) ).
fof(f9281,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f19,f9280]) ).
fof(f9282,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,succ(n4)),n0) ),
inference(forward_demodulation,[status(thm)],[f238,f9281]) ).
fof(f9283,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK1_skl = sum(sum(n3,n5),n0) ),
inference(forward_demodulation,[status(thm)],[f8,f9282]) ).
fof(f9284,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK1_skl = sum(n8,n0) ),
inference(forward_demodulation,[status(thm)],[f64,f9283]) ).
fof(f9285,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ4_spl
| sK0_skl != n8 ),
inference(backward_demodulation,[status(thm)],[f9288,f295]) ).
fof(f9288,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK1_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f114,f9284]) ).
fof(f9289,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(pred(n4),n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f238,f500]) ).
fof(f9290,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK0_skl = sum(sum(n3,n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f9289]) ).
fof(f9291,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK0_skl = sum(n4,sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f60,f9290]) ).
fof(f9292,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK0_skl = sum(n4,sum(n10,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f238,f9291]) ).
fof(f9293,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK0_skl = sum(n4,sum(n10,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f9292]) ).
fof(f9294,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK0_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f141,f9293]) ).
fof(f9295,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| sK0_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f9294]) ).
fof(f9323,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ4_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f9295,f9285]) ).
fof(f9324,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9323]) ).
fof(f9325,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f9324]) ).
fof(f9349,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK1_skl = sum(n9,sum(pred(n10),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f345]) ).
fof(f9350,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK1_skl = sum(n9,sum(n9,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f9349]) ).
fof(f9351,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK1_skl = sum(n9,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f290,f9350]) ).
fof(f9352,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK1_skl = sum(n9,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f9351]) ).
fof(f9353,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK1_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f9352]) ).
fof(f9356,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ21_spl
| sK0_skl != n7 ),
inference(backward_demodulation,[status(thm)],[f9357,f295]) ).
fof(f9357,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK1_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f9353]) ).
fof(f9358,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK0_skl = sum(sum(n9,succ(n10)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f356]) ).
fof(f9359,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK0_skl = sum(sum(n9,n0),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f9358]) ).
fof(f9360,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK0_skl = sum(n9,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f125,f9359]) ).
fof(f9361,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK0_skl = sum(n9,sum(pred(n10),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f290,f9360]) ).
fof(f9362,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK0_skl = sum(n9,sum(n9,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f9361]) ).
fof(f9363,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK0_skl = sum(n9,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f256,f9362]) ).
fof(f9364,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK0_skl = sum(n9,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f9363]) ).
fof(f9365,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK0_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f9364]) ).
fof(f9366,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sK0_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f9365]) ).
fof(f9421,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ21_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f9366,f9356]) ).
fof(f9422,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9421]) ).
fof(f9423,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f9422]) ).
fof(f9451,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(pred(n3),succ(sK21_skl)),sum(pred(n8),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f235,f8663]) ).
fof(f9452,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(n2,succ(sK21_skl)),sum(pred(n8),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f9451]) ).
fof(f9453,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(n2,succ(n8)),sum(pred(n8),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f284,f9452]) ).
fof(f9454,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK0_skl = sum(sum(n2,n9),sum(pred(n8),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f9453]) ).
fof(f9455,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK0_skl = sum(n0,sum(pred(n8),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f57,f9454]) ).
fof(f9456,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK0_skl = sum(n0,sum(n7,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f9455]) ).
fof(f9457,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK0_skl = sum(n0,sum(n7,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f235,f9456]) ).
fof(f9458,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK0_skl = sum(n0,sum(n7,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f9457]) ).
fof(f9459,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK0_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f107,f9458]) ).
fof(f9460,plain,
( sQ22_spl
| ~ sQ19_spl
| ~ sQ3_spl
| n0 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f9463,f295]) ).
fof(f9463,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK0_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f9459]) ).
fof(f9464,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(pred(n3),succ(sK20_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f235,f8662]) ).
fof(f9465,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(sK20_skl)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f18,f9464]) ).
fof(f9466,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,succ(n3)),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f235,f9465]) ).
fof(f9467,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK1_skl = sum(sum(n2,n4),sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f7,f9466]) ).
fof(f9468,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(pred(sK21_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f52,f9467]) ).
fof(f9469,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f284,f9468]) ).
fof(f9470,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f9469]) ).
fof(f9471,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f9470]) ).
fof(f9472,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK1_skl = sum(n6,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f9471]) ).
fof(f9473,plain,
( ~ sQ19_spl
| ~ sQ3_spl
| sK1_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f97,f9472]) ).
fof(f9496,plain,
( sQ22_spl
| ~ sQ19_spl
| ~ sQ3_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f9473,f9460]) ).
fof(f9497,plain,
( sQ22_spl
| ~ sQ19_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9496]) ).
fof(f9498,plain,
( sQ22_spl
| ~ sQ19_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f9497]) ).
fof(f9518,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(pred(n2),succ(n2)),n0) ),
inference(forward_demodulation,[status(thm)],[f232,f509]) ).
fof(f9519,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(n1,succ(n2)),n0) ),
inference(forward_demodulation,[status(thm)],[f17,f9518]) ).
fof(f9520,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK1_skl = sum(sum(n1,n3),n0) ),
inference(forward_demodulation,[status(thm)],[f6,f9519]) ).
fof(f9521,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK1_skl = sum(n4,n0) ),
inference(forward_demodulation,[status(thm)],[f40,f9520]) ).
fof(f9525,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ2_spl
| sK0_skl != n4 ),
inference(backward_demodulation,[status(thm)],[f9526,f295]) ).
fof(f9526,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK1_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f70,f9521]) ).
fof(f9527,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK0_skl = sum(sum(pred(n2),n1),sum(n10,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f232,f510]) ).
fof(f9528,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK0_skl = sum(sum(n1,n1),sum(n10,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f9527]) ).
fof(f9529,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK0_skl = sum(n2,sum(n10,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f38,f9528]) ).
fof(f9530,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK0_skl = sum(n2,sum(n10,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f9529]) ).
fof(f9531,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK0_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f139,f9530]) ).
fof(f9533,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| sK0_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f9531]) ).
fof(f9597,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ2_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f9533,f9525]) ).
fof(f9598,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9597]) ).
fof(f9599,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f9598]) ).
fof(f9630,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n9,succ(n5)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f275,f356]) ).
fof(f9631,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK0_skl = sum(sum(n9,n6),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f9630]) ).
fof(f9632,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK0_skl = sum(n4,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f131,f9631]) ).
fof(f9633,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK0_skl = sum(n4,sum(pred(n5),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f275,f9632]) ).
fof(f9634,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK0_skl = sum(n4,sum(n4,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f9633]) ).
fof(f9635,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK0_skl = sum(n4,sum(n4,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f256,f9634]) ).
fof(f9636,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK0_skl = sum(n4,sum(n4,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f9635]) ).
fof(f9637,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK0_skl = sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f70,f9636]) ).
fof(f9638,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ16_spl
| n8 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f9641,f295]) ).
fof(f9641,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK0_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f74,f9637]) ).
fof(f9642,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK1_skl = sum(n9,sum(pred(n5),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f275,f345]) ).
fof(f9643,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK1_skl = sum(n9,sum(n4,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f9642]) ).
fof(f9644,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK1_skl = sum(n9,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f275,f9643]) ).
fof(f9645,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK1_skl = sum(n9,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f9644]) ).
fof(f9646,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK1_skl = sum(n9,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f9645]) ).
fof(f9647,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sK1_skl = n8 ),
inference(forward_demodulation,[status(thm)],[f135,f9646]) ).
fof(f9679,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ16_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f9647,f9638]) ).
fof(f9680,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9679]) ).
fof(f9681,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f9680]) ).
fof(f9694,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ11_spl
| n0 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f432,f295]) ).
fof(f9769,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ11_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f443,f9694]) ).
fof(f9770,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9769]) ).
fof(f9771,plain,
( sQ22_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f9770]) ).
fof(f9802,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK1_skl = sum(n9,sum(pred(n7),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f281,f345]) ).
fof(f9803,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK1_skl = sum(n9,sum(n6,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f9802]) ).
fof(f9804,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK1_skl = sum(n9,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f281,f9803]) ).
fof(f9805,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK1_skl = sum(n9,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f9804]) ).
fof(f9806,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK1_skl = sum(n9,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f9805]) ).
fof(f9807,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ18_spl
| sK0_skl != n1 ),
inference(backward_demodulation,[status(thm)],[f9810,f295]) ).
fof(f9810,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK1_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f128,f9806]) ).
fof(f9811,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n9,succ(n7)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f281,f356]) ).
fof(f9812,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK0_skl = sum(sum(n9,n8),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f9811]) ).
fof(f9813,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK0_skl = sum(n6,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f133,f9812]) ).
fof(f9814,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK0_skl = sum(n6,sum(pred(n7),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f281,f9813]) ).
fof(f9815,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK0_skl = sum(n6,sum(n6,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f9814]) ).
fof(f9816,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK0_skl = sum(n6,sum(n6,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f256,f9815]) ).
fof(f9817,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK0_skl = sum(n6,sum(n6,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f9816]) ).
fof(f9818,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK0_skl = sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f92,f9817]) ).
fof(f9819,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sK0_skl = n1 ),
inference(forward_demodulation,[status(thm)],[f98,f9818]) ).
fof(f9851,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ18_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f9819,f9807]) ).
fof(f9852,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9851]) ).
fof(f9853,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f9852]) ).
fof(f9855,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f229,f149]) ).
fof(f9874,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK1_skl = sum(n2,sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f263,f462]) ).
fof(f9889,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(pred(n1),succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f229,f9855]) ).
fof(f9890,plain,
( ~ sQ1_spl
| sK0_skl = sum(sum(n0,succ(sK21_skl)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f9889]) ).
fof(f9891,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n0,succ(n1)),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f9890]) ).
fof(f9892,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n0,n2),sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f5,f9891]) ).
fof(f9893,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK0_skl = sum(n2,sum(pred(sK21_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f28,f9892]) ).
fof(f9894,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK0_skl = sum(n2,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f9893]) ).
fof(f9895,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK0_skl = sum(n2,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f9894]) ).
fof(f9896,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK0_skl = sum(n2,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f9895]) ).
fof(f9897,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK0_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f9896]) ).
fof(f9900,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ12_spl
| n4 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f9901,f295]) ).
fof(f9901,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK0_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f9897]) ).
fof(f9908,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK1_skl = sum(n2,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f9874]) ).
fof(f9909,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK1_skl = sum(n2,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f9908]) ).
fof(f9910,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK1_skl = sum(n2,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f9909]) ).
fof(f9911,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK1_skl = sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f9910]) ).
fof(f9912,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sK1_skl = n4 ),
inference(forward_demodulation,[status(thm)],[f50,f9911]) ).
fof(f9936,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ12_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f9912,f9900]) ).
fof(f9937,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9936]) ).
fof(f9938,plain,
( sQ22_spl
| ~ sQ1_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f9937]) ).
fof(f9955,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f556,f550]) ).
fof(f9956,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f9955]) ).
fof(f9987,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(pred(n5),succ(sK20_skl)),n8) ),
inference(forward_demodulation,[status(thm)],[f241,f6204]) ).
fof(f9988,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,succ(sK20_skl)),n8) ),
inference(forward_demodulation,[status(thm)],[f20,f9987]) ).
fof(f9989,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,succ(n5)),n8) ),
inference(forward_demodulation,[status(thm)],[f241,f9988]) ).
fof(f9990,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,n6),n8) ),
inference(forward_demodulation,[status(thm)],[f9,f9989]) ).
fof(f9991,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,n8) ),
inference(forward_demodulation,[status(thm)],[f76,f9990]) ).
fof(f9994,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ5_spl
| sK0_skl != n7 ),
inference(backward_demodulation,[status(thm)],[f9995,f295]) ).
fof(f9995,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK1_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f144,f9991]) ).
fof(f9996,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(pred(n5),n5),sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f241,f6200]) ).
fof(f9997,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(n4,n5),sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f9996]) ).
fof(f9998,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK0_skl = sum(n9,sum(n3,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f75,f9997]) ).
fof(f9999,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK0_skl = sum(n9,sum(n3,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f9998]) ).
fof(f10000,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK0_skl = sum(n9,sum(n3,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f9999]) ).
fof(f10001,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK0_skl = sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f65,f10000]) ).
fof(f10002,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| sK0_skl = n7 ),
inference(forward_demodulation,[status(thm)],[f134,f10001]) ).
fof(f10074,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ5_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f10002,f9994]) ).
fof(f10075,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10074]) ).
fof(f10076,plain,
( sQ22_spl
| ~ sQ15_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f10075]) ).
fof(f10108,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n9,succ(n2)),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f266,f356]) ).
fof(f10109,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK0_skl = sum(sum(n9,n3),sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f10108]) ).
fof(f10110,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK0_skl = sum(n1,sum(pred(sK21_skl),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f128,f10109]) ).
fof(f10111,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK0_skl = sum(n1,sum(pred(n2),succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f266,f10110]) ).
fof(f10112,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK0_skl = sum(n1,sum(n1,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f10111]) ).
fof(f10113,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK0_skl = sum(n1,sum(n1,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f256,f10112]) ).
fof(f10114,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK0_skl = sum(n1,sum(n1,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f10113]) ).
fof(f10115,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK0_skl = sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f37,f10114]) ).
fof(f10116,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ13_spl
| n2 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f10119,f295]) ).
fof(f10119,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK0_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f38,f10115]) ).
fof(f10120,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK1_skl = sum(n9,sum(pred(n2),succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f266,f345]) ).
fof(f10121,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK1_skl = sum(n9,sum(n1,succ(sK21_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f10120]) ).
fof(f10122,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK1_skl = sum(n9,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f266,f10121]) ).
fof(f10123,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK1_skl = sum(n9,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f10122]) ).
fof(f10124,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK1_skl = sum(n9,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f10123]) ).
fof(f10125,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sK1_skl = n2 ),
inference(forward_demodulation,[status(thm)],[f129,f10124]) ).
fof(f10157,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ13_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f10125,f10116]) ).
fof(f10158,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10157]) ).
fof(f10159,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f10158]) ).
fof(f10191,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK0_skl = sum(sum(pred(n8),n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f250,f500]) ).
fof(f10192,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK0_skl = sum(sum(n7,n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f10191]) ).
fof(f10193,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK0_skl = sum(n8,sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f104,f10192]) ).
fof(f10194,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK0_skl = sum(n8,sum(n10,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f250,f10193]) ).
fof(f10195,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK0_skl = sum(n8,sum(n10,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f10194]) ).
fof(f10196,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK0_skl = sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f145,f10195]) ).
fof(f10199,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ8_spl
| n5 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f10200,f295]) ).
fof(f10200,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK0_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f122,f10196]) ).
fof(f10201,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(pred(n8),succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f250,f505]) ).
fof(f10202,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(n7,succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f23,f10201]) ).
fof(f10203,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(n7,succ(n8)),n0) ),
inference(forward_demodulation,[status(thm)],[f250,f10202]) ).
fof(f10204,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK1_skl = sum(sum(n7,n9),n0) ),
inference(forward_demodulation,[status(thm)],[f12,f10203]) ).
fof(f10205,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK1_skl = sum(n5,n0) ),
inference(forward_demodulation,[status(thm)],[f112,f10204]) ).
fof(f10206,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sK1_skl = n5 ),
inference(forward_demodulation,[status(thm)],[f81,f10205]) ).
fof(f10257,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ8_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f10206,f10199]) ).
fof(f10258,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10257]) ).
fof(f10259,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f10258]) ).
fof(f10270,plain,
( ~ sQ10_spl
| sK0_skl = sum(sum(pred(sK20_skl),succ(sK21_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(backward_demodulation,[status(thm)],[f256,f149]) ).
fof(f10275,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK1_skl = sum(n9,sum(pred(sK21_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f263,f345]) ).
fof(f10286,plain,
( ~ sQ10_spl
| sK0_skl = sum(sum(pred(n10),succ(sK21_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f256,f10270]) ).
fof(f10287,plain,
( ~ sQ10_spl
| sK0_skl = sum(sum(n9,succ(sK21_skl)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f10286]) ).
fof(f10288,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n9,succ(n1)),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f263,f10287]) ).
fof(f10289,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK0_skl = sum(sum(n9,n2),sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f5,f10288]) ).
fof(f10290,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK0_skl = sum(n0,sum(pred(sK21_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f127,f10289]) ).
fof(f10291,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK0_skl = sum(n0,sum(pred(n1),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f263,f10290]) ).
fof(f10292,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK0_skl = sum(n0,sum(n0,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f16,f10291]) ).
fof(f10293,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK0_skl = sum(n0,sum(n0,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f10292]) ).
fof(f10294,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK0_skl = sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f26,f10293]) ).
fof(f10295,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ12_spl
| n0 != sK1_skl ),
inference(backward_demodulation,[status(thm)],[f10298,f295]) ).
fof(f10298,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK0_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f26,f10294]) ).
fof(f10309,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK1_skl = sum(n9,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f263,f10275]) ).
fof(f10310,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK1_skl = sum(n9,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f10309]) ).
fof(f10311,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK1_skl = sum(n9,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f10310]) ).
fof(f10312,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK1_skl = sum(n9,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f10311]) ).
fof(f10313,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| sK1_skl = n0 ),
inference(forward_demodulation,[status(thm)],[f127,f10312]) ).
fof(f10314,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ12_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f10313,f10295]) ).
fof(f10315,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10314]) ).
fof(f10316,plain,
( sQ22_spl
| ~ sQ10_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f10315]) ).
fof(f10348,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(pred(n5),succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f241,f505]) ).
fof(f10349,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,succ(sK20_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f20,f10348]) ).
fof(f10350,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,succ(n5)),n0) ),
inference(forward_demodulation,[status(thm)],[f241,f10349]) ).
fof(f10351,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK1_skl = sum(sum(n4,n6),n0) ),
inference(forward_demodulation,[status(thm)],[f9,f10350]) ).
fof(f10352,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK1_skl = sum(n10,n0) ),
inference(forward_demodulation,[status(thm)],[f76,f10351]) ).
fof(f10355,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ5_spl
| sK0_skl != n10 ),
inference(backward_demodulation,[status(thm)],[f10356,f295]) ).
fof(f10356,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK1_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f136,f10352]) ).
fof(f10357,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(pred(n5),n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f241,f500]) ).
fof(f10358,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK0_skl = sum(sum(n4,n1),sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f10357]) ).
fof(f10359,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK0_skl = sum(n5,sum(n10,succ(sK20_skl))) ),
inference(forward_demodulation,[status(thm)],[f71,f10358]) ).
fof(f10360,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK0_skl = sum(n5,sum(n10,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f241,f10359]) ).
fof(f10361,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK0_skl = sum(n5,sum(n10,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f10360]) ).
fof(f10362,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK0_skl = sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f142,f10361]) ).
fof(f10363,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sK0_skl = n10 ),
inference(forward_demodulation,[status(thm)],[f86,f10362]) ).
fof(f10414,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ5_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f10363,f10355]) ).
fof(f10415,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10414]) ).
fof(f10416,plain,
( sQ22_spl
| ~ sQ11_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f10415]) ).
fof(f10417,plain,
$false,
inference(sat_refutation,[status(thm)],[f258,f292,f323,f373,f421,f496,f543,f585,f590,f640,f656,f699,f749,f802,f852,f898,f950,f955,f1012,f1117,f1172,f1241,f1287,f1364,f1418,f1488,f1543,f1621,f1676,f1753,f1807,f1884,f1938,f2015,f2069,f2146,f2200,f2277,f2331,f2408,f2462,f2546,f2613,f2703,f2757,f2834,f2888,f2966,f3024,f3102,f3169,f3268,f3346,f3423,f3477,f3554,f3624,f3746,f3816,f3906,f3988,f4093,f4163,f4273,f4360,f4444,f4504,f4581,f4651,f4761,f4848,f4947,f5037,f5120,f5174,f5251,f5321,f5415,f5459,f5476,f5563,f5667,f5766,f5884,f5971,f6022,f6104,f6195,f6277,f6361,f6431,f6514,f6590,f6696,f6784,f6894,f6989,f7074,f7135,f7235,f7317,f7394,f7484,f7584,f7680,f7799,f7888,f7988,f8085,f8169,f8251,f8339,f8379,f8455,f8532,f8652,f8714,f8827,f8903,f9093,f9142,f9248,f9325,f9423,f9498,f9599,f9681,f9771,f9853,f9938,f9956,f10076,f10159,f10259,f10316,f10416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM377+1.010 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n017.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 02:21:11 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.51 % Drodi V4.1.1
% 0.27/0.84 % Refutation found
% 0.27/0.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.89 % Elapsed time: 0.428852 seconds
% 0.27/0.89 % CPU time: 2.558482 seconds
% 0.27/0.89 % Total memory used: 50.770 MB
% 0.27/0.89 % Net memory used: 49.395 MB
%------------------------------------------------------------------------------