TSTP Solution File: NUM376+1.010 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:25:09 EDT 2023
% Result : Unsatisfiable 0.06s 0.28s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 23
% Syntax : Number of formulae : 2311 ( 145 unt; 0 def)
% Number of atoms : 6750 (2746 equ)
% Maximal formula atoms : 221 ( 2 avg)
% Number of connectives : 10319 (5880 ~;3817 |; 600 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 204 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 4 (; 0 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X,Y] :
( succ(n0) = n1
& succ(n1) = n2
& succ(n2) = n3
& succ(n3) = n4
& succ(n4) = n5
& succ(n5) = n6
& succ(n6) = n7
& succ(n7) = n8
& succ(n8) = n9
& succ(n9) = n10
& succ(n10) = n0
& pred(n0) = n10
& pred(n1) = n0
& pred(n2) = n1
& pred(n3) = n2
& pred(n4) = n3
& pred(n5) = n4
& pred(n6) = n5
& pred(n7) = n6
& pred(n8) = n7
& pred(n9) = n8
& pred(n10) = n9
& sum(n0,n0) = n0
& sum(n0,n1) = n1
& sum(n0,n2) = n2
& sum(n0,n3) = n3
& sum(n0,n4) = n4
& sum(n0,n5) = n5
& sum(n0,n6) = n6
& sum(n0,n7) = n7
& sum(n0,n8) = n8
& sum(n0,n9) = n9
& sum(n0,n10) = n10
& sum(n1,n0) = n1
& sum(n1,n1) = n2
& sum(n1,n2) = n3
& sum(n1,n3) = n4
& sum(n1,n4) = n5
& sum(n1,n5) = n6
& sum(n1,n6) = n7
& sum(n1,n7) = n8
& sum(n1,n8) = n9
& sum(n1,n9) = n10
& sum(n1,n10) = n0
& sum(n2,n0) = n2
& sum(n2,n1) = n3
& sum(n2,n2) = n4
& sum(n2,n3) = n5
& sum(n2,n4) = n6
& sum(n2,n5) = n7
& sum(n2,n6) = n8
& sum(n2,n7) = n9
& sum(n2,n8) = n10
& sum(n2,n9) = n0
& sum(n2,n10) = n1
& sum(n3,n0) = n3
& sum(n3,n1) = n4
& sum(n3,n2) = n5
& sum(n3,n3) = n6
& sum(n3,n4) = n7
& sum(n3,n5) = n8
& sum(n3,n6) = n9
& sum(n3,n7) = n10
& sum(n3,n8) = n0
& sum(n3,n9) = n1
& sum(n3,n10) = n2
& sum(n4,n0) = n4
& sum(n4,n1) = n5
& sum(n4,n2) = n6
& sum(n4,n3) = n7
& sum(n4,n4) = n8
& sum(n4,n5) = n9
& sum(n4,n6) = n10
& sum(n4,n7) = n0
& sum(n4,n8) = n1
& sum(n4,n9) = n2
& sum(n4,n10) = n3
& sum(n5,n0) = n5
& sum(n5,n1) = n6
& sum(n5,n2) = n7
& sum(n5,n3) = n8
& sum(n5,n4) = n9
& sum(n5,n5) = n10
& sum(n5,n6) = n0
& sum(n5,n7) = n1
& sum(n5,n8) = n2
& sum(n5,n9) = n3
& sum(n5,n10) = n4
& sum(n6,n0) = n6
& sum(n6,n1) = n7
& sum(n6,n2) = n8
& sum(n6,n3) = n9
& sum(n6,n4) = n10
& sum(n6,n5) = n0
& sum(n6,n6) = n1
& sum(n6,n7) = n2
& sum(n6,n8) = n3
& sum(n6,n9) = n4
& sum(n6,n10) = n5
& sum(n7,n0) = n7
& sum(n7,n1) = n8
& sum(n7,n2) = n9
& sum(n7,n3) = n10
& sum(n7,n4) = n0
& sum(n7,n5) = n1
& sum(n7,n6) = n2
& sum(n7,n7) = n3
& sum(n7,n8) = n4
& sum(n7,n9) = n5
& sum(n7,n10) = n6
& sum(n8,n0) = n8
& sum(n8,n1) = n9
& sum(n8,n2) = n10
& sum(n8,n3) = n0
& sum(n8,n4) = n1
& sum(n8,n5) = n2
& sum(n8,n6) = n3
& sum(n8,n7) = n4
& sum(n8,n8) = n5
& sum(n8,n9) = n6
& sum(n8,n10) = n7
& sum(n9,n0) = n9
& sum(n9,n1) = n10
& sum(n9,n2) = n0
& sum(n9,n3) = n1
& sum(n9,n4) = n2
& sum(n9,n5) = n3
& sum(n9,n6) = n4
& sum(n9,n7) = n5
& sum(n9,n8) = n6
& sum(n9,n9) = n7
& sum(n9,n10) = n8
& sum(n10,n0) = n10
& sum(n10,n1) = n0
& sum(n10,n2) = n1
& sum(n10,n3) = n2
& sum(n10,n4) = n3
& sum(n10,n5) = n4
& sum(n10,n6) = n5
& sum(n10,n7) = n6
& sum(n10,n8) = n7
& sum(n10,n9) = n8
& sum(n10,n10) = n9
& ( X = n0
| X = n1
| X = n2
| X = n3
| X = n4
| X = n5
| X = n6
| X = n7
| X = n8
| X = n9
| X = n10 )
& ( Y = n0
| Y = n1
| Y = n2
| Y = n3
| Y = n4
| Y = n5
| Y = n6
| Y = n7
| Y = n8
| Y = n9
| Y = n10 )
& sum(sum(pred(X),succ(Y)),sum(pred(Y),succ(X))) != sum(sum(pred(X),succ(X)),sum(pred(Y),succ(Y)))
& n0 != n1
& n0 != n2
& n0 != n3
& n0 != n4
& n0 != n5
& n0 != n6
& n0 != n7
& n0 != n8
& n0 != n9
& n0 != n10
& n1 != n2
& n1 != n3
& n1 != n4
& n1 != n5
& n1 != n6
& n1 != n7
& n1 != n8
& n1 != n9
& n1 != n10
& n2 != n3
& n2 != n4
& n2 != n5
& n2 != n6
& n2 != n7
& n2 != n8
& n2 != n9
& n2 != n10
& n3 != n4
& n3 != n5
& n3 != n6
& n3 != n7
& n3 != n8
& n3 != n9
& n3 != n10
& n4 != n5
& n4 != n6
& n4 != n7
& n4 != n8
& n4 != n9
& n4 != n10
& n5 != n6
& n5 != n7
& n5 != n8
& n5 != n9
& n5 != n10
& n6 != n7
& n6 != n8
& n6 != n9
& n6 != n10
& n7 != n8
& n7 != n9
& n7 != n10
& n8 != n9
& n8 != n10
& n9 != n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,plain,
( ? [X,Y] :
( succ(n0) = n1
& succ(n1) = n2
& succ(n2) = n3
& succ(n3) = n4
& succ(n4) = n5
& succ(n5) = n6
& succ(n6) = n7
& succ(n7) = n8
& succ(n8) = n9
& succ(n9) = n10
& succ(n10) = n0
& pred(n0) = n10
& pred(n1) = n0
& pred(n2) = n1
& pred(n3) = n2
& pred(n4) = n3
& pred(n5) = n4
& pred(n6) = n5
& pred(n7) = n6
& pred(n8) = n7
& pred(n9) = n8
& pred(n10) = n9
& sum(n0,n0) = n0
& sum(n0,n1) = n1
& sum(n0,n2) = n2
& sum(n0,n3) = n3
& sum(n0,n4) = n4
& sum(n0,n5) = n5
& sum(n0,n6) = n6
& sum(n0,n7) = n7
& sum(n0,n8) = n8
& sum(n0,n9) = n9
& sum(n0,n10) = n10
& sum(n1,n0) = n1
& sum(n1,n1) = n2
& sum(n1,n2) = n3
& sum(n1,n3) = n4
& sum(n1,n4) = n5
& sum(n1,n5) = n6
& sum(n1,n6) = n7
& sum(n1,n7) = n8
& sum(n1,n8) = n9
& sum(n1,n9) = n10
& sum(n1,n10) = n0
& sum(n2,n0) = n2
& sum(n2,n1) = n3
& sum(n2,n2) = n4
& sum(n2,n3) = n5
& sum(n2,n4) = n6
& sum(n2,n5) = n7
& sum(n2,n6) = n8
& sum(n2,n7) = n9
& sum(n2,n8) = n10
& sum(n2,n9) = n0
& sum(n2,n10) = n1
& sum(n3,n0) = n3
& sum(n3,n1) = n4
& sum(n3,n2) = n5
& sum(n3,n3) = n6
& sum(n3,n4) = n7
& sum(n3,n5) = n8
& sum(n3,n6) = n9
& sum(n3,n7) = n10
& sum(n3,n8) = n0
& sum(n3,n9) = n1
& sum(n3,n10) = n2
& sum(n4,n0) = n4
& sum(n4,n1) = n5
& sum(n4,n2) = n6
& sum(n4,n3) = n7
& sum(n4,n4) = n8
& sum(n4,n5) = n9
& sum(n4,n6) = n10
& sum(n4,n7) = n0
& sum(n4,n8) = n1
& sum(n4,n9) = n2
& sum(n4,n10) = n3
& sum(n5,n0) = n5
& sum(n5,n1) = n6
& sum(n5,n2) = n7
& sum(n5,n3) = n8
& sum(n5,n4) = n9
& sum(n5,n5) = n10
& sum(n5,n6) = n0
& sum(n5,n7) = n1
& sum(n5,n8) = n2
& sum(n5,n9) = n3
& sum(n5,n10) = n4
& sum(n6,n0) = n6
& sum(n6,n1) = n7
& sum(n6,n2) = n8
& sum(n6,n3) = n9
& sum(n6,n4) = n10
& sum(n6,n5) = n0
& sum(n6,n6) = n1
& sum(n6,n7) = n2
& sum(n6,n8) = n3
& sum(n6,n9) = n4
& sum(n6,n10) = n5
& sum(n7,n0) = n7
& sum(n7,n1) = n8
& sum(n7,n2) = n9
& sum(n7,n3) = n10
& sum(n7,n4) = n0
& sum(n7,n5) = n1
& sum(n7,n6) = n2
& sum(n7,n7) = n3
& sum(n7,n8) = n4
& sum(n7,n9) = n5
& sum(n7,n10) = n6
& sum(n8,n0) = n8
& sum(n8,n1) = n9
& sum(n8,n2) = n10
& sum(n8,n3) = n0
& sum(n8,n4) = n1
& sum(n8,n5) = n2
& sum(n8,n6) = n3
& sum(n8,n7) = n4
& sum(n8,n8) = n5
& sum(n8,n9) = n6
& sum(n8,n10) = n7
& sum(n9,n0) = n9
& sum(n9,n1) = n10
& sum(n9,n2) = n0
& sum(n9,n3) = n1
& sum(n9,n4) = n2
& sum(n9,n5) = n3
& sum(n9,n6) = n4
& sum(n9,n7) = n5
& sum(n9,n8) = n6
& sum(n9,n9) = n7
& sum(n9,n10) = n8
& sum(n10,n0) = n10
& sum(n10,n1) = n0
& sum(n10,n2) = n1
& sum(n10,n3) = n2
& sum(n10,n4) = n3
& sum(n10,n5) = n4
& sum(n10,n6) = n5
& sum(n10,n7) = n6
& sum(n10,n8) = n7
& sum(n10,n9) = n8
& sum(n10,n10) = n9
& ( X = n0
| X = n1
| X = n2
| X = n3
| X = n4
| X = n5
| X = n6
| X = n7
| X = n8
| X = n9
| X = n10 )
& ( Y = n0
| Y = n1
| Y = n2
| Y = n3
| Y = n4
| Y = n5
| Y = n6
| Y = n7
| Y = n8
| Y = n9
| Y = n10 )
& sum(sum(pred(X),succ(Y)),sum(pred(Y),succ(X))) != sum(sum(pred(X),succ(X)),sum(pred(Y),succ(Y))) )
& n0 != n1
& n0 != n2
& n0 != n3
& n0 != n4
& n0 != n5
& n0 != n6
& n0 != n7
& n0 != n8
& n0 != n9
& n0 != n10
& n1 != n2
& n1 != n3
& n1 != n4
& n1 != n5
& n1 != n6
& n1 != n7
& n1 != n8
& n1 != n9
& n1 != n10
& n2 != n3
& n2 != n4
& n2 != n5
& n2 != n6
& n2 != n7
& n2 != n8
& n2 != n9
& n2 != n10
& n3 != n4
& n3 != n5
& n3 != n6
& n3 != n7
& n3 != n8
& n3 != n9
& n3 != n10
& n4 != n5
& n4 != n6
& n4 != n7
& n4 != n8
& n4 != n9
& n4 != n10
& n5 != n6
& n5 != n7
& n5 != n8
& n5 != n9
& n5 != n10
& n6 != n7
& n6 != n8
& n6 != n9
& n6 != n10
& n7 != n8
& n7 != n9
& n7 != n10
& n8 != n9
& n8 != n10
& n9 != n10 ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f3,plain,
( succ(n0) = n1
& succ(n1) = n2
& succ(n2) = n3
& succ(n3) = n4
& succ(n4) = n5
& succ(n5) = n6
& succ(n6) = n7
& succ(n7) = n8
& succ(n8) = n9
& succ(n9) = n10
& succ(n10) = n0
& pred(n0) = n10
& pred(n1) = n0
& pred(n2) = n1
& pred(n3) = n2
& pred(n4) = n3
& pred(n5) = n4
& pred(n6) = n5
& pred(n7) = n6
& pred(n8) = n7
& pred(n9) = n8
& pred(n10) = n9
& sum(n0,n0) = n0
& sum(n0,n1) = n1
& sum(n0,n2) = n2
& sum(n0,n3) = n3
& sum(n0,n4) = n4
& sum(n0,n5) = n5
& sum(n0,n6) = n6
& sum(n0,n7) = n7
& sum(n0,n8) = n8
& sum(n0,n9) = n9
& sum(n0,n10) = n10
& sum(n1,n0) = n1
& sum(n1,n1) = n2
& sum(n1,n2) = n3
& sum(n1,n3) = n4
& sum(n1,n4) = n5
& sum(n1,n5) = n6
& sum(n1,n6) = n7
& sum(n1,n7) = n8
& sum(n1,n8) = n9
& sum(n1,n9) = n10
& sum(n1,n10) = n0
& sum(n2,n0) = n2
& sum(n2,n1) = n3
& sum(n2,n2) = n4
& sum(n2,n3) = n5
& sum(n2,n4) = n6
& sum(n2,n5) = n7
& sum(n2,n6) = n8
& sum(n2,n7) = n9
& sum(n2,n8) = n10
& sum(n2,n9) = n0
& sum(n2,n10) = n1
& sum(n3,n0) = n3
& sum(n3,n1) = n4
& sum(n3,n2) = n5
& sum(n3,n3) = n6
& sum(n3,n4) = n7
& sum(n3,n5) = n8
& sum(n3,n6) = n9
& sum(n3,n7) = n10
& sum(n3,n8) = n0
& sum(n3,n9) = n1
& sum(n3,n10) = n2
& sum(n4,n0) = n4
& sum(n4,n1) = n5
& sum(n4,n2) = n6
& sum(n4,n3) = n7
& sum(n4,n4) = n8
& sum(n4,n5) = n9
& sum(n4,n6) = n10
& sum(n4,n7) = n0
& sum(n4,n8) = n1
& sum(n4,n9) = n2
& sum(n4,n10) = n3
& sum(n5,n0) = n5
& sum(n5,n1) = n6
& sum(n5,n2) = n7
& sum(n5,n3) = n8
& sum(n5,n4) = n9
& sum(n5,n5) = n10
& sum(n5,n6) = n0
& sum(n5,n7) = n1
& sum(n5,n8) = n2
& sum(n5,n9) = n3
& sum(n5,n10) = n4
& sum(n6,n0) = n6
& sum(n6,n1) = n7
& sum(n6,n2) = n8
& sum(n6,n3) = n9
& sum(n6,n4) = n10
& sum(n6,n5) = n0
& sum(n6,n6) = n1
& sum(n6,n7) = n2
& sum(n6,n8) = n3
& sum(n6,n9) = n4
& sum(n6,n10) = n5
& sum(n7,n0) = n7
& sum(n7,n1) = n8
& sum(n7,n2) = n9
& sum(n7,n3) = n10
& sum(n7,n4) = n0
& sum(n7,n5) = n1
& sum(n7,n6) = n2
& sum(n7,n7) = n3
& sum(n7,n8) = n4
& sum(n7,n9) = n5
& sum(n7,n10) = n6
& sum(n8,n0) = n8
& sum(n8,n1) = n9
& sum(n8,n2) = n10
& sum(n8,n3) = n0
& sum(n8,n4) = n1
& sum(n8,n5) = n2
& sum(n8,n6) = n3
& sum(n8,n7) = n4
& sum(n8,n8) = n5
& sum(n8,n9) = n6
& sum(n8,n10) = n7
& sum(n9,n0) = n9
& sum(n9,n1) = n10
& sum(n9,n2) = n0
& sum(n9,n3) = n1
& sum(n9,n4) = n2
& sum(n9,n5) = n3
& sum(n9,n6) = n4
& sum(n9,n7) = n5
& sum(n9,n8) = n6
& sum(n9,n9) = n7
& sum(n9,n10) = n8
& sum(n10,n0) = n10
& sum(n10,n1) = n0
& sum(n10,n2) = n1
& sum(n10,n3) = n2
& sum(n10,n4) = n3
& sum(n10,n5) = n4
& sum(n10,n6) = n5
& sum(n10,n7) = n6
& sum(n10,n8) = n7
& sum(n10,n9) = n8
& sum(n10,n10) = n9
& ( sk0_0 = n0
| sk0_0 = n1
| sk0_0 = n2
| sk0_0 = n3
| sk0_0 = n4
| sk0_0 = n5
| sk0_0 = n6
| sk0_0 = n7
| sk0_0 = n8
| sk0_0 = n9
| sk0_0 = n10 )
& ( sk0_1 = n0
| sk0_1 = n1
| sk0_1 = n2
| sk0_1 = n3
| sk0_1 = n4
| sk0_1 = n5
| sk0_1 = n6
| sk0_1 = n7
| sk0_1 = n8
| sk0_1 = n9
| sk0_1 = n10 )
& sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
& n0 != n1
& n0 != n2
& n0 != n3
& n0 != n4
& n0 != n5
& n0 != n6
& n0 != n7
& n0 != n8
& n0 != n9
& n0 != n10
& n1 != n2
& n1 != n3
& n1 != n4
& n1 != n5
& n1 != n6
& n1 != n7
& n1 != n8
& n1 != n9
& n1 != n10
& n2 != n3
& n2 != n4
& n2 != n5
& n2 != n6
& n2 != n7
& n2 != n8
& n2 != n9
& n2 != n10
& n3 != n4
& n3 != n5
& n3 != n6
& n3 != n7
& n3 != n8
& n3 != n9
& n3 != n10
& n4 != n5
& n4 != n6
& n4 != n7
& n4 != n8
& n4 != n9
& n4 != n10
& n5 != n6
& n5 != n7
& n5 != n8
& n5 != n9
& n5 != n10
& n6 != n7
& n6 != n8
& n6 != n9
& n6 != n10
& n7 != n8
& n7 != n9
& n7 != n10
& n8 != n9
& n8 != n10
& n9 != n10 ),
inference(skolemization,[status(esa)],[f2]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
succ(n10) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
pred(n0) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
pred(n1) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f17,plain,
pred(n2) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
pred(n3) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
pred(n4) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f20,plain,
pred(n5) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
pred(n6) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f22,plain,
pred(n7) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f23,plain,
pred(n8) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f24,plain,
pred(n9) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f25,plain,
pred(n10) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f26,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f27,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f28,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f29,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f30,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f31,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f32,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f33,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f34,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f35,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f36,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f37,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f38,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f39,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f40,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f41,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f42,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f43,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f44,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f45,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f46,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f47,plain,
sum(n1,n10) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f48,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f49,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f50,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f51,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f52,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f53,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f54,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f55,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f56,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f57,plain,
sum(n2,n9) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f58,plain,
sum(n2,n10) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f59,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f60,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f61,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f62,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f63,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f64,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f65,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f66,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f67,plain,
sum(n3,n8) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f68,plain,
sum(n3,n9) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f69,plain,
sum(n3,n10) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f70,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f71,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f72,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f73,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f74,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f75,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f76,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f77,plain,
sum(n4,n7) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f78,plain,
sum(n4,n8) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f79,plain,
sum(n4,n9) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
sum(n4,n10) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f81,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f82,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f83,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f84,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f85,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f86,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f87,plain,
sum(n5,n6) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f88,plain,
sum(n5,n7) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f89,plain,
sum(n5,n8) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f90,plain,
sum(n5,n9) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f91,plain,
sum(n5,n10) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f93,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f94,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f95,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f96,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f97,plain,
sum(n6,n5) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f98,plain,
sum(n6,n6) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f99,plain,
sum(n6,n7) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f100,plain,
sum(n6,n8) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f101,plain,
sum(n6,n9) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
sum(n6,n10) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f103,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f104,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f105,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f106,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f107,plain,
sum(n7,n4) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f108,plain,
sum(n7,n5) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f109,plain,
sum(n7,n6) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f110,plain,
sum(n7,n7) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f111,plain,
sum(n7,n8) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f112,plain,
sum(n7,n9) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f113,plain,
sum(n7,n10) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f114,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f115,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f116,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f117,plain,
sum(n8,n3) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f118,plain,
sum(n8,n4) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f119,plain,
sum(n8,n5) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f120,plain,
sum(n8,n6) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f121,plain,
sum(n8,n7) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f122,plain,
sum(n8,n8) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f123,plain,
sum(n8,n9) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f124,plain,
sum(n8,n10) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f125,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f126,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f127,plain,
sum(n9,n2) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f128,plain,
sum(n9,n3) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f129,plain,
sum(n9,n4) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f130,plain,
sum(n9,n5) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f131,plain,
sum(n9,n6) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f132,plain,
sum(n9,n7) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f133,plain,
sum(n9,n8) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f134,plain,
sum(n9,n9) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f135,plain,
sum(n9,n10) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f136,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f137,plain,
sum(n10,n1) = n0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f138,plain,
sum(n10,n2) = n1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f139,plain,
sum(n10,n3) = n2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f140,plain,
sum(n10,n4) = n3,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f141,plain,
sum(n10,n5) = n4,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f142,plain,
sum(n10,n6) = n5,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f143,plain,
sum(n10,n7) = n6,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f144,plain,
sum(n10,n8) = n7,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f145,plain,
sum(n10,n9) = n8,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f146,plain,
sum(n10,n10) = n9,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f147,plain,
( sk0_0 = n0
| sk0_0 = n1
| sk0_0 = n2
| sk0_0 = n3
| sk0_0 = n4
| sk0_0 = n5
| sk0_0 = n6
| sk0_0 = n7
| sk0_0 = n8
| sk0_0 = n9
| sk0_0 = n10 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f148,plain,
( sk0_1 = n0
| sk0_1 = n1
| sk0_1 = n2
| sk0_1 = n3
| sk0_1 = n4
| sk0_1 = n5
| sk0_1 = n6
| sk0_1 = n7
| sk0_1 = n8
| sk0_1 = n9
| sk0_1 = n10 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f149,plain,
sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f205,plain,
( spl0_0
<=> sk0_0 = n0 ),
introduced(split_symbol_definition) ).
fof(f206,plain,
( sk0_0 = n0
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( spl0_1
<=> sk0_0 = n1 ),
introduced(split_symbol_definition) ).
fof(f209,plain,
( sk0_0 = n1
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( spl0_2
<=> sk0_0 = n2 ),
introduced(split_symbol_definition) ).
fof(f212,plain,
( sk0_0 = n2
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( spl0_3
<=> sk0_0 = n3 ),
introduced(split_symbol_definition) ).
fof(f215,plain,
( sk0_0 = n3
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( spl0_4
<=> sk0_0 = n4 ),
introduced(split_symbol_definition) ).
fof(f218,plain,
( sk0_0 = n4
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( spl0_5
<=> sk0_0 = n5 ),
introduced(split_symbol_definition) ).
fof(f221,plain,
( sk0_0 = n5
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( spl0_6
<=> sk0_0 = n6 ),
introduced(split_symbol_definition) ).
fof(f224,plain,
( sk0_0 = n6
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( spl0_7
<=> sk0_0 = n7 ),
introduced(split_symbol_definition) ).
fof(f227,plain,
( sk0_0 = n7
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,plain,
( spl0_8
<=> sk0_0 = n8 ),
introduced(split_symbol_definition) ).
fof(f230,plain,
( sk0_0 = n8
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( spl0_9
<=> sk0_0 = n9 ),
introduced(split_symbol_definition) ).
fof(f233,plain,
( sk0_0 = n9
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( spl0_10
<=> sk0_0 = n10 ),
introduced(split_symbol_definition) ).
fof(f236,plain,
( sk0_0 = n10
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(split_clause,[status(thm)],[f147,f205,f208,f211,f214,f217,f220,f223,f226,f229,f232,f235]) ).
fof(f239,plain,
( spl0_11
<=> sk0_1 = n0 ),
introduced(split_symbol_definition) ).
fof(f240,plain,
( sk0_1 = n0
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( spl0_12
<=> sk0_1 = n1 ),
introduced(split_symbol_definition) ).
fof(f243,plain,
( sk0_1 = n1
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( spl0_13
<=> sk0_1 = n2 ),
introduced(split_symbol_definition) ).
fof(f246,plain,
( sk0_1 = n2
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( spl0_14
<=> sk0_1 = n3 ),
introduced(split_symbol_definition) ).
fof(f249,plain,
( sk0_1 = n3
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( spl0_15
<=> sk0_1 = n4 ),
introduced(split_symbol_definition) ).
fof(f252,plain,
( sk0_1 = n4
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,plain,
( spl0_16
<=> sk0_1 = n5 ),
introduced(split_symbol_definition) ).
fof(f255,plain,
( sk0_1 = n5
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( spl0_17
<=> sk0_1 = n6 ),
introduced(split_symbol_definition) ).
fof(f258,plain,
( sk0_1 = n6
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( spl0_18
<=> sk0_1 = n7 ),
introduced(split_symbol_definition) ).
fof(f261,plain,
( sk0_1 = n7
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( spl0_19
<=> sk0_1 = n8 ),
introduced(split_symbol_definition) ).
fof(f264,plain,
( sk0_1 = n8
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( spl0_20
<=> sk0_1 = n9 ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( sk0_1 = n9
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( spl0_21
<=> sk0_1 = n10 ),
introduced(split_symbol_definition) ).
fof(f270,plain,
( sk0_1 = n10
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20
| spl0_21 ),
inference(split_clause,[status(thm)],[f148,f239,f242,f245,f248,f251,f254,f257,f260,f263,f266,f269]) ).
fof(f296,plain,
( sum(sum(pred(n10),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f149]) ).
fof(f297,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f296]) ).
fof(f298,plain,
( sum(sum(n9,succ(n6)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f258,f297]) ).
fof(f299,plain,
( sum(sum(n9,n7),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f10,f298]) ).
fof(f300,plain,
( sum(n5,sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f132,f299]) ).
fof(f301,plain,
( sum(n5,sum(pred(n6),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f258,f300]) ).
fof(f302,plain,
( sum(n5,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f21,f301]) ).
fof(f303,plain,
( sum(n5,sum(n5,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f302]) ).
fof(f304,plain,
( sum(n5,sum(n5,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f303]) ).
fof(f305,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f81,f304]) ).
fof(f306,plain,
( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f86,f305]) ).
fof(f307,plain,
( n10 != sum(sum(pred(n10),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f306]) ).
fof(f308,plain,
( n10 != sum(sum(n9,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f307]) ).
fof(f309,plain,
( n10 != sum(sum(n9,succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f308]) ).
fof(f310,plain,
( n10 != sum(sum(n9,n0),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f309]) ).
fof(f311,plain,
( n10 != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f310]) ).
fof(f312,plain,
( n10 != sum(n9,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f258,f311]) ).
fof(f313,plain,
( n10 != sum(n9,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f21,f312]) ).
fof(f314,plain,
( n10 != sum(n9,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f258,f313]) ).
fof(f315,plain,
( n10 != sum(n9,sum(n5,n7))
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f10,f314]) ).
fof(f316,plain,
( n10 != sum(n9,n1)
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f88,f315]) ).
fof(f317,plain,
( $false
| ~ spl0_17
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f316,f126]) ).
fof(f318,plain,
( ~ spl0_17
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f297]) ).
fof(f320,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f319]) ).
fof(f321,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(n10),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f320]) ).
fof(f322,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n9,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f321]) ).
fof(f323,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n9,succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f322]) ).
fof(f324,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n9,n0),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f323]) ).
fof(f325,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f324]) ).
fof(f329,plain,
( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f149]) ).
fof(f330,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f329]) ).
fof(f331,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f330]) ).
fof(f332,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f331]) ).
fof(f333,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f332]) ).
fof(f334,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f333]) ).
fof(f335,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f334]) ).
fof(f336,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f335]) ).
fof(f337,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f336]) ).
fof(f341,plain,
( sum(sum(pred(n8),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f230,f149]) ).
fof(f342,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f23,f341]) ).
fof(f343,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f230,f342]) ).
fof(f344,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f12,f343]) ).
fof(f345,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(pred(n8),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f230,f344]) ).
fof(f346,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(n7,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f23,f345]) ).
fof(f347,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(n7,succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f230,f346]) ).
fof(f348,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(n7,n9),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f12,f347]) ).
fof(f349,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f112,f348]) ).
fof(f353,plain,
( sum(sum(pred(n7),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f227,f149]) ).
fof(f354,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f353]) ).
fof(f355,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f227,f354]) ).
fof(f356,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f355]) ).
fof(f357,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(pred(n7),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f227,f356]) ).
fof(f358,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(n6,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f357]) ).
fof(f359,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(n6,succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f227,f358]) ).
fof(f360,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(n6,n8),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f359]) ).
fof(f361,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f360]) ).
fof(f365,plain,
( sum(sum(pred(n6),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f224,f149]) ).
fof(f366,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f21,f365]) ).
fof(f367,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f224,f366]) ).
fof(f368,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f10,f367]) ).
fof(f369,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(n6),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f224,f368]) ).
fof(f370,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f21,f369]) ).
fof(f371,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f224,f370]) ).
fof(f372,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,n7),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f10,f371]) ).
fof(f373,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f88,f372]) ).
fof(f377,plain,
( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f149]) ).
fof(f378,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f377]) ).
fof(f379,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f378]) ).
fof(f380,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f379]) ).
fof(f381,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f380]) ).
fof(f382,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f381]) ).
fof(f383,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f382]) ).
fof(f384,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(n4,n6),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f383]) ).
fof(f385,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f76,f384]) ).
fof(f389,plain,
( sum(sum(pred(n4),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f218,f149]) ).
fof(f390,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f389]) ).
fof(f391,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f218,f390]) ).
fof(f392,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f391]) ).
fof(f393,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(pred(n4),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f218,f392]) ).
fof(f394,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(n3,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f393]) ).
fof(f395,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(n3,succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f218,f394]) ).
fof(f396,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(n3,n5),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f395]) ).
fof(f397,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f64,f396]) ).
fof(f401,plain,
( sum(sum(pred(n3),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f215,f149]) ).
fof(f402,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f18,f401]) ).
fof(f403,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f215,f402]) ).
fof(f404,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f7,f403]) ).
fof(f405,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(n3),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f215,f404]) ).
fof(f406,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f18,f405]) ).
fof(f407,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f215,f406]) ).
fof(f408,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,n4),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f7,f407]) ).
fof(f409,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f52,f408]) ).
fof(f413,plain,
( sum(sum(pred(n2),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f149]) ).
fof(f414,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f413]) ).
fof(f415,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f414]) ).
fof(f416,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f415]) ).
fof(f417,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(n2),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f416]) ).
fof(f418,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f417]) ).
fof(f419,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f418]) ).
fof(f420,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(n1,n3),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f419]) ).
fof(f421,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f40,f420]) ).
fof(f425,plain,
( sum(sum(pred(n1),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f209,f149]) ).
fof(f426,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16,f425]) ).
fof(f427,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f209,f426]) ).
fof(f428,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5,f427]) ).
fof(f429,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(pred(n1),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f209,f428]) ).
fof(f430,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(n0,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16,f429]) ).
fof(f431,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(n0,succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f209,f430]) ).
fof(f432,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(n0,n2),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5,f431]) ).
fof(f433,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f28,f432]) ).
fof(f437,plain,
( sum(sum(pred(n0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f206,f149]) ).
fof(f438,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f15,f437]) ).
fof(f439,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f206,f438]) ).
fof(f440,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f4,f439]) ).
fof(f441,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(pred(n0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f206,f440]) ).
fof(f442,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(n10,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f15,f441]) ).
fof(f443,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(n10,succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f206,f442]) ).
fof(f444,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(n10,n1),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f4,f443]) ).
fof(f445,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f137,f444]) ).
fof(f468,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f258,f337]) ).
fof(f469,plain,
( sum(sum(n8,succ(n6)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f258,f468]) ).
fof(f470,plain,
( sum(sum(n8,n7),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f10,f469]) ).
fof(f471,plain,
( sum(n4,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f121,f470]) ).
fof(f472,plain,
( sum(n4,sum(pred(n6),n10)) != sum(n7,sum(pred(sk0_1),succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f258,f471]) ).
fof(f473,plain,
( sum(n4,sum(n5,n10)) != sum(n7,sum(pred(sk0_1),succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f21,f472]) ).
fof(f474,plain,
( sum(n4,n4) != sum(n7,sum(pred(sk0_1),succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f91,f473]) ).
fof(f475,plain,
( n8 != sum(n7,sum(pred(sk0_1),succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f74,f474]) ).
fof(f476,plain,
( n8 != sum(n7,sum(pred(n6),succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f258,f475]) ).
fof(f477,plain,
( n8 != sum(n7,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f21,f476]) ).
fof(f478,plain,
( n8 != sum(n7,sum(n5,n7))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f10,f477]) ).
fof(f479,plain,
( n8 != sum(n7,n1)
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f88,f478]) ).
fof(f480,plain,
( $false
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f104]) ).
fof(f481,plain,
( ~ spl0_17
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f480]) ).
fof(f488,plain,
( sum(sum(n8,succ(n8)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f264,f337]) ).
fof(f489,plain,
( sum(sum(n8,n9),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f12,f488]) ).
fof(f490,plain,
( sum(n6,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f123,f489]) ).
fof(f491,plain,
( sum(n6,sum(pred(n8),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f264,f490]) ).
fof(f492,plain,
( sum(n6,sum(n7,n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f23,f491]) ).
fof(f493,plain,
( sum(n6,n6) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f113,f492]) ).
fof(f494,plain,
( n1 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f98,f493]) ).
fof(f495,plain,
( n1 != sum(n7,sum(pred(n8),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f264,f494]) ).
fof(f496,plain,
( n1 != sum(n7,sum(n7,succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f23,f495]) ).
fof(f497,plain,
( n1 != sum(n7,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f264,f496]) ).
fof(f498,plain,
( n1 != sum(n7,sum(n7,n9))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f12,f497]) ).
fof(f499,plain,
( n1 != sum(n7,n5)
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f112,f498]) ).
fof(f500,plain,
( $false
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f108]) ).
fof(f501,plain,
( ~ spl0_19
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f500]) ).
fof(f518,plain,
( sum(sum(n9,succ(n7)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f261,f325]) ).
fof(f519,plain,
( sum(sum(n9,n8),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f11,f518]) ).
fof(f520,plain,
( sum(n6,sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f133,f519]) ).
fof(f521,plain,
( sum(n6,sum(pred(n7),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f261,f520]) ).
fof(f522,plain,
( sum(n6,sum(n6,n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f22,f521]) ).
fof(f523,plain,
( sum(n6,n6) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f92,f522]) ).
fof(f524,plain,
( n1 != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f98,f523]) ).
fof(f525,plain,
( n1 != sum(n9,sum(pred(n7),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f261,f524]) ).
fof(f526,plain,
( n1 != sum(n9,sum(n6,succ(sk0_1)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f22,f525]) ).
fof(f527,plain,
( n1 != sum(n9,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f261,f526]) ).
fof(f528,plain,
( n1 != sum(n9,sum(n6,n8))
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f11,f527]) ).
fof(f529,plain,
( n1 != sum(n9,n3)
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f100,f528]) ).
fof(f530,plain,
( $false
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f128]) ).
fof(f531,plain,
( ~ spl0_18
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f233,f149]) ).
fof(f533,plain,
( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f532]) ).
fof(f534,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f533]) ).
fof(f535,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f534]) ).
fof(f536,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f535]) ).
fof(f537,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f536]) ).
fof(f538,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f537]) ).
fof(f539,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f538]) ).
fof(f540,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f539]) ).
fof(f558,plain,
( sum(sum(n8,succ(n10)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f270,f337]) ).
fof(f559,plain,
( sum(sum(n8,n0),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f14,f558]) ).
fof(f560,plain,
( sum(n8,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f114,f559]) ).
fof(f561,plain,
( sum(n8,sum(pred(n10),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f270,f560]) ).
fof(f562,plain,
( sum(n8,sum(n9,n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f25,f561]) ).
fof(f563,plain,
( sum(n8,n8) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f135,f562]) ).
fof(f564,plain,
( n5 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f122,f563]) ).
fof(f565,plain,
( n5 != sum(n7,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f270,f564]) ).
fof(f566,plain,
( n5 != sum(n7,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f25,f565]) ).
fof(f567,plain,
( n5 != sum(n7,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f270,f566]) ).
fof(f568,plain,
( n5 != sum(n7,sum(n9,n0))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f14,f567]) ).
fof(f569,plain,
( n5 != sum(n7,n9)
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f125,f568]) ).
fof(f570,plain,
( $false
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f112]) ).
fof(f571,plain,
( ~ spl0_21
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f572,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f236,f149]) ).
fof(f573,plain,
( sum(sum(pred(n10),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f572]) ).
fof(f574,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f573]) ).
fof(f575,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f574]) ).
fof(f576,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f575]) ).
fof(f577,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(n10),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f576]) ).
fof(f578,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n9,succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f577]) ).
fof(f579,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n9,n0),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f578]) ).
fof(f580,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f579]) ).
fof(f598,plain,
( sum(sum(n9,succ(n9)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f267,f325]) ).
fof(f599,plain,
( sum(sum(n9,n10),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f13,f598]) ).
fof(f600,plain,
( sum(n8,sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f135,f599]) ).
fof(f601,plain,
( sum(n8,sum(pred(n9),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f267,f600]) ).
fof(f602,plain,
( sum(n8,sum(n8,n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f24,f601]) ).
fof(f603,plain,
( sum(n8,n8) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f114,f602]) ).
fof(f604,plain,
( n5 != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f122,f603]) ).
fof(f605,plain,
( n5 != sum(n9,sum(pred(n9),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f267,f604]) ).
fof(f606,plain,
( n5 != sum(n9,sum(n8,succ(sk0_1)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f24,f605]) ).
fof(f607,plain,
( n5 != sum(n9,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f267,f606]) ).
fof(f608,plain,
( n5 != sum(n9,sum(n8,n10))
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f13,f607]) ).
fof(f609,plain,
( n5 != sum(n9,n7)
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f124,f608]) ).
fof(f610,plain,
( $false
| ~ spl0_20
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f132]) ).
fof(f611,plain,
( ~ spl0_20
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f233,f149]) ).
fof(f613,plain,
( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f612]) ).
fof(f614,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f613]) ).
fof(f615,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f614]) ).
fof(f616,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f615]) ).
fof(f617,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f616]) ).
fof(f618,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f617]) ).
fof(f619,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f618]) ).
fof(f620,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f619]) ).
fof(f639,plain,
( sum(sum(n8,succ(n1)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f243,f540]) ).
fof(f640,plain,
( sum(sum(n8,n2),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f5,f639]) ).
fof(f641,plain,
( sum(n10,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f116,f640]) ).
fof(f642,plain,
( sum(n10,sum(pred(n1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f243,f641]) ).
fof(f643,plain,
( sum(n10,sum(n0,n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f16,f642]) ).
fof(f644,plain,
( sum(n10,n10) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f36,f643]) ).
fof(f645,plain,
( n9 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f146,f644]) ).
fof(f646,plain,
( n9 != sum(n7,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f243,f645]) ).
fof(f647,plain,
( n9 != sum(n7,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f16,f646]) ).
fof(f648,plain,
( n9 != sum(n7,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f243,f647]) ).
fof(f649,plain,
( n9 != sum(n7,sum(n0,n2))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f5,f648]) ).
fof(f650,plain,
( n9 != sum(n7,n2)
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f28,f649]) ).
fof(f651,plain,
( $false
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f105]) ).
fof(f652,plain,
( ~ spl0_12
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f651]) ).
fof(f653,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f236,f149]) ).
fof(f654,plain,
( sum(sum(pred(n10),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f653]) ).
fof(f655,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f654]) ).
fof(f656,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f655]) ).
fof(f657,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f656]) ).
fof(f658,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(n10),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f657]) ).
fof(f659,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n9,succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f658]) ).
fof(f660,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n9,n0),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f659]) ).
fof(f661,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f660]) ).
fof(f672,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f240,f580]) ).
fof(f673,plain,
( sum(sum(n9,succ(n0)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f240,f672]) ).
fof(f674,plain,
( sum(sum(n9,n1),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f4,f673]) ).
fof(f675,plain,
( sum(n10,sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f126,f674]) ).
fof(f676,plain,
( sum(n10,sum(pred(n0),n0)) != sum(n9,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f240,f675]) ).
fof(f677,plain,
( sum(n10,sum(n10,n0)) != sum(n9,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f15,f676]) ).
fof(f678,plain,
( sum(n10,n10) != sum(n9,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f136,f677]) ).
fof(f679,plain,
( n9 != sum(n9,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f146,f678]) ).
fof(f680,plain,
( n9 != sum(n9,sum(pred(n0),succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f240,f679]) ).
fof(f681,plain,
( n9 != sum(n9,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f15,f680]) ).
fof(f682,plain,
( n9 != sum(n9,sum(n10,n1))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f4,f681]) ).
fof(f683,plain,
( n9 != sum(n9,n0)
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f137,f682]) ).
fof(f684,plain,
( $false
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f683,f125]) ).
fof(f685,plain,
( ~ spl0_11
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f684]) ).
fof(f686,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f233,f149]) ).
fof(f687,plain,
( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f686]) ).
fof(f688,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f687]) ).
fof(f689,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f688]) ).
fof(f690,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f689]) ).
fof(f691,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f690]) ).
fof(f692,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f691]) ).
fof(f693,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f692]) ).
fof(f694,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f693]) ).
fof(f714,plain,
( sum(sum(n8,succ(n3)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f249,f337]) ).
fof(f715,plain,
( sum(sum(n8,n4),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f7,f714]) ).
fof(f716,plain,
( sum(n1,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f118,f715]) ).
fof(f717,plain,
( sum(n1,sum(pred(n3),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f249,f716]) ).
fof(f718,plain,
( sum(n1,sum(n2,n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f18,f717]) ).
fof(f719,plain,
( sum(n1,n1) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f58,f718]) ).
fof(f720,plain,
( n2 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f38,f719]) ).
fof(f721,plain,
( n2 != sum(n7,sum(pred(n3),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f249,f720]) ).
fof(f722,plain,
( n2 != sum(n7,sum(n2,succ(sk0_1)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f18,f721]) ).
fof(f723,plain,
( n2 != sum(n7,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f249,f722]) ).
fof(f724,plain,
( n2 != sum(n7,sum(n2,n4))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f7,f723]) ).
fof(f725,plain,
( n2 != sum(n7,n6)
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f52,f724]) ).
fof(f726,plain,
( $false
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f725,f109]) ).
fof(f727,plain,
( ~ spl0_14
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f726]) ).
fof(f728,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f236,f149]) ).
fof(f729,plain,
( sum(sum(pred(n10),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f728]) ).
fof(f730,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f729]) ).
fof(f731,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f730]) ).
fof(f732,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f731]) ).
fof(f733,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(pred(n10),succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f236,f732]) ).
fof(f734,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n9,succ(n10)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f733]) ).
fof(f735,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(sum(n9,n0),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f734]) ).
fof(f736,plain,
( sum(sum(n9,succ(sk0_1)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f735]) ).
fof(f756,plain,
( sum(sum(n9,succ(n2)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f246,f661]) ).
fof(f757,plain,
( sum(sum(n9,n3),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f6,f756]) ).
fof(f758,plain,
( sum(n1,sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f128,f757]) ).
fof(f759,plain,
( sum(n1,sum(pred(n2),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f246,f758]) ).
fof(f760,plain,
( sum(n1,sum(n1,n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f17,f759]) ).
fof(f761,plain,
( sum(n1,n1) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f37,f760]) ).
fof(f762,plain,
( n2 != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f38,f761]) ).
fof(f763,plain,
( n2 != sum(n9,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f246,f762]) ).
fof(f764,plain,
( n2 != sum(n9,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f17,f763]) ).
fof(f765,plain,
( n2 != sum(n9,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f246,f764]) ).
fof(f766,plain,
( n2 != sum(n9,sum(n1,n3))
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f6,f765]) ).
fof(f767,plain,
( n2 != sum(n9,n4)
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f40,f766]) ).
fof(f768,plain,
( $false
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f767,f129]) ).
fof(f769,plain,
( ~ spl0_13
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f768]) ).
fof(f770,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f233,f149]) ).
fof(f771,plain,
( sum(sum(pred(n9),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f770]) ).
fof(f772,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f771]) ).
fof(f773,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f772]) ).
fof(f774,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f773]) ).
fof(f775,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f233,f774]) ).
fof(f776,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,succ(n9)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f775]) ).
fof(f777,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(sum(n8,n10),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f776]) ).
fof(f778,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f777]) ).
fof(f799,plain,
( sum(sum(n8,succ(n4)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f252,f620]) ).
fof(f800,plain,
( sum(sum(n8,n5),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f8,f799]) ).
fof(f801,plain,
( sum(n2,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f119,f800]) ).
fof(f802,plain,
( sum(n2,sum(pred(n4),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f252,f801]) ).
fof(f803,plain,
( sum(n2,sum(n3,n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f19,f802]) ).
fof(f804,plain,
( sum(n2,n2) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f69,f803]) ).
fof(f805,plain,
( n4 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f50,f804]) ).
fof(f806,plain,
( n4 != sum(n7,sum(pred(n4),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f252,f805]) ).
fof(f807,plain,
( n4 != sum(n7,sum(n3,succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f19,f806]) ).
fof(f808,plain,
( n4 != sum(n7,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f252,f807]) ).
fof(f809,plain,
( n4 != sum(n7,sum(n3,n5))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f8,f808]) ).
fof(f810,plain,
( n4 != sum(n7,n8)
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f64,f809]) ).
fof(f811,plain,
( $false
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f810,f111]) ).
fof(f812,plain,
( ~ spl0_15
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f836,plain,
( sum(sum(n6,succ(n6)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f258,f361]) ).
fof(f837,plain,
( sum(sum(n6,n7),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f10,f836]) ).
fof(f838,plain,
( sum(n2,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f99,f837]) ).
fof(f839,plain,
( sum(n2,sum(pred(n6),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f258,f838]) ).
fof(f840,plain,
( sum(n2,sum(n5,n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f21,f839]) ).
fof(f841,plain,
( sum(n2,n2) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f89,f840]) ).
fof(f842,plain,
( n4 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f50,f841]) ).
fof(f843,plain,
( n4 != sum(n3,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f258,f842]) ).
fof(f844,plain,
( n4 != sum(n3,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f21,f843]) ).
fof(f845,plain,
( n4 != sum(n3,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f258,f844]) ).
fof(f846,plain,
( n4 != sum(n3,sum(n5,n7))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f10,f845]) ).
fof(f847,plain,
( n4 != sum(n3,n1)
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f88,f846]) ).
fof(f848,plain,
( $false
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f60]) ).
fof(f849,plain,
( ~ spl0_17
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f848]) ).
fof(f850,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f227,f149]) ).
fof(f851,plain,
( sum(sum(pred(n7),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f227,f850]) ).
fof(f852,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f851]) ).
fof(f853,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),succ(n7))) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f227,f852]) ).
fof(f854,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f853]) ).
fof(f855,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f227,f854]) ).
fof(f856,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(n6,succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f855]) ).
fof(f857,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(sum(n6,n8),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f856]) ).
fof(f858,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f857]) ).
fof(f877,plain,
( sum(sum(n6,succ(n8)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f264,f361]) ).
fof(f878,plain,
( sum(sum(n6,n9),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f12,f877]) ).
fof(f879,plain,
( sum(n4,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f101,f878]) ).
fof(f880,plain,
( sum(n4,sum(pred(n8),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f264,f879]) ).
fof(f881,plain,
( sum(n4,sum(n7,n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f23,f880]) ).
fof(f882,plain,
( sum(n4,n4) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f111,f881]) ).
fof(f883,plain,
( n8 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f74,f882]) ).
fof(f884,plain,
( n8 != sum(n3,sum(pred(n8),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f264,f883]) ).
fof(f885,plain,
( n8 != sum(n3,sum(n7,succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f23,f884]) ).
fof(f886,plain,
( n8 != sum(n3,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f264,f885]) ).
fof(f887,plain,
( n8 != sum(n3,sum(n7,n9))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f12,f886]) ).
fof(f888,plain,
( n8 != sum(n3,n5)
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f112,f887]) ).
fof(f889,plain,
( $false
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f888,f64]) ).
fof(f890,plain,
( ~ spl0_19
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f889]) ).
fof(f891,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f261,f858]) ).
fof(f892,plain,
( sum(sum(n6,succ(n7)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f261,f891]) ).
fof(f893,plain,
( sum(sum(n6,n8),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f892]) ).
fof(f894,plain,
( sum(n3,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f893]) ).
fof(f895,plain,
( sum(n3,sum(pred(n7),n8)) != sum(n3,sum(pred(sk0_1),succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f261,f894]) ).
fof(f896,plain,
( sum(n3,sum(n6,n8)) != sum(n3,sum(pred(sk0_1),succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f895]) ).
fof(f897,plain,
( sum(n3,n3) != sum(n3,sum(pred(sk0_1),succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f896]) ).
fof(f898,plain,
( n6 != sum(n3,sum(pred(sk0_1),succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f62,f897]) ).
fof(f899,plain,
( n6 != sum(n3,sum(pred(n7),succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f261,f898]) ).
fof(f900,plain,
( n6 != sum(n3,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f899]) ).
fof(f901,plain,
( n6 != sum(n3,sum(n6,n8))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f900]) ).
fof(f902,plain,
( n6 != sum(n3,n3)
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f901]) ).
fof(f903,plain,
( $false
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f902,f62]) ).
fof(f904,plain,
( ~ spl0_18
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f903]) ).
fof(f915,plain,
( sum(sum(n6,succ(n10)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f270,f361]) ).
fof(f916,plain,
( sum(sum(n6,n0),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f14,f915]) ).
fof(f917,plain,
( sum(n6,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f92,f916]) ).
fof(f918,plain,
( sum(n6,sum(pred(n10),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f270,f917]) ).
fof(f919,plain,
( sum(n6,sum(n9,n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f25,f918]) ).
fof(f920,plain,
( sum(n6,n6) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f133,f919]) ).
fof(f921,plain,
( n1 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f98,f920]) ).
fof(f922,plain,
( n1 != sum(n3,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f270,f921]) ).
fof(f923,plain,
( n1 != sum(n3,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f25,f922]) ).
fof(f924,plain,
( n1 != sum(n3,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f270,f923]) ).
fof(f925,plain,
( n1 != sum(n3,sum(n9,n0))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f14,f924]) ).
fof(f926,plain,
( n1 != sum(n3,n9)
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f125,f925]) ).
fof(f927,plain,
( $false
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f926,f68]) ).
fof(f928,plain,
( ~ spl0_21
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f927]) ).
fof(f939,plain,
( sum(sum(n6,succ(n9)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f267,f858]) ).
fof(f940,plain,
( sum(sum(n6,n10),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f13,f939]) ).
fof(f941,plain,
( sum(n5,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f102,f940]) ).
fof(f942,plain,
( sum(n5,sum(pred(n9),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f267,f941]) ).
fof(f943,plain,
( sum(n5,sum(n8,n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f24,f942]) ).
fof(f944,plain,
( sum(n5,n5) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f122,f943]) ).
fof(f945,plain,
( n10 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f86,f944]) ).
fof(f946,plain,
( n10 != sum(n3,sum(pred(n9),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f267,f945]) ).
fof(f947,plain,
( n10 != sum(n3,sum(n8,succ(sk0_1)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f24,f946]) ).
fof(f948,plain,
( n10 != sum(n3,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f267,f947]) ).
fof(f949,plain,
( n10 != sum(n3,sum(n8,n10))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f13,f948]) ).
fof(f950,plain,
( n10 != sum(n3,n7)
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f124,f949]) ).
fof(f951,plain,
( $false
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f950,f66]) ).
fof(f952,plain,
( ~ spl0_20
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f951]) ).
fof(f963,plain,
( sum(sum(n6,succ(n1)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f243,f361]) ).
fof(f964,plain,
( sum(sum(n6,n2),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f5,f963]) ).
fof(f965,plain,
( sum(n8,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f94,f964]) ).
fof(f966,plain,
( sum(n8,sum(pred(n1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f243,f965]) ).
fof(f967,plain,
( sum(n8,sum(n0,n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f16,f966]) ).
fof(f968,plain,
( sum(n8,n8) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f34,f967]) ).
fof(f969,plain,
( n5 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f122,f968]) ).
fof(f970,plain,
( n5 != sum(n3,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f243,f969]) ).
fof(f971,plain,
( n5 != sum(n3,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f16,f970]) ).
fof(f972,plain,
( n5 != sum(n3,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f243,f971]) ).
fof(f973,plain,
( n5 != sum(n3,sum(n0,n2))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f5,f972]) ).
fof(f974,plain,
( n5 != sum(n3,n2)
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f28,f973]) ).
fof(f975,plain,
( $false
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f974,f61]) ).
fof(f976,plain,
( ~ spl0_12
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f975]) ).
fof(f995,plain,
( sum(sum(n6,succ(n0)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f240,f858]) ).
fof(f996,plain,
( sum(sum(n6,n1),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f4,f995]) ).
fof(f997,plain,
( sum(n7,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f93,f996]) ).
fof(f998,plain,
( sum(n7,sum(pred(n0),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f240,f997]) ).
fof(f999,plain,
( sum(n7,sum(n10,n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f15,f998]) ).
fof(f1000,plain,
( sum(n7,n7) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f144,f999]) ).
fof(f1001,plain,
( n3 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f110,f1000]) ).
fof(f1002,plain,
( n3 != sum(n3,sum(pred(n0),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f240,f1001]) ).
fof(f1003,plain,
( n3 != sum(n3,sum(n10,succ(sk0_1)))
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f15,f1002]) ).
fof(f1004,plain,
( n3 != sum(n3,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f240,f1003]) ).
fof(f1005,plain,
( n3 != sum(n3,sum(n10,n1))
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f4,f1004]) ).
fof(f1006,plain,
( n3 != sum(n3,n0)
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f137,f1005]) ).
fof(f1007,plain,
( $false
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1006,f59]) ).
fof(f1008,plain,
( ~ spl0_11
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1007]) ).
fof(f1009,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f249,f149]) ).
fof(f1010,plain,
( sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f249,f1009]) ).
fof(f1011,plain,
( sum(sum(pred(sk0_0),n4),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f7,f1010]) ).
fof(f1012,plain,
( sum(sum(pred(sk0_0),n4),sum(pred(n3),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f249,f1011]) ).
fof(f1013,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f18,f1012]) ).
fof(f1014,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n3),succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f249,f1013]) ).
fof(f1015,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n2,succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f18,f1014]) ).
fof(f1016,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n2,n4))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f7,f1015]) ).
fof(f1017,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f52,f1016]) ).
fof(f1036,plain,
( sum(sum(n9,succ(n3)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f249,f580]) ).
fof(f1037,plain,
( sum(sum(n9,n4),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f7,f1036]) ).
fof(f1038,plain,
( sum(n2,sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f129,f1037]) ).
fof(f1039,plain,
( sum(n2,sum(pred(n3),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f249,f1038]) ).
fof(f1040,plain,
( sum(n2,sum(n2,n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f18,f1039]) ).
fof(f1041,plain,
( sum(n2,n2) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f48,f1040]) ).
fof(f1042,plain,
( n4 != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f50,f1041]) ).
fof(f1043,plain,
( n4 != sum(n9,sum(pred(n3),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f249,f1042]) ).
fof(f1044,plain,
( n4 != sum(n9,sum(n2,succ(sk0_1)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f18,f1043]) ).
fof(f1045,plain,
( n4 != sum(n9,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f249,f1044]) ).
fof(f1046,plain,
( n4 != sum(n9,sum(n2,n4))
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f7,f1045]) ).
fof(f1047,plain,
( n4 != sum(n9,n6)
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f52,f1046]) ).
fof(f1048,plain,
( $false
| ~ spl0_14
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1047,f131]) ).
fof(f1049,plain,
( ~ spl0_14
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1048]) ).
fof(f1050,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f246,f149]) ).
fof(f1051,plain,
( sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f246,f1050]) ).
fof(f1052,plain,
( sum(sum(pred(sk0_0),n3),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f6,f1051]) ).
fof(f1053,plain,
( sum(sum(pred(sk0_0),n3),sum(pred(n2),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f246,f1052]) ).
fof(f1054,plain,
( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n2)))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f17,f1053]) ).
fof(f1055,plain,
( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n2),succ(n2)))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f246,f1054]) ).
fof(f1056,plain,
( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n1,succ(n2)))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f17,f1055]) ).
fof(f1057,plain,
( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n1,n3))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f6,f1056]) ).
fof(f1058,plain,
( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f40,f1057]) ).
fof(f1068,plain,
( sum(sum(n8,succ(n2)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f246,f540]) ).
fof(f1069,plain,
( sum(sum(n8,n3),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f6,f1068]) ).
fof(f1070,plain,
( sum(n0,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f117,f1069]) ).
fof(f1071,plain,
( sum(n0,sum(pred(n2),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f246,f1070]) ).
fof(f1072,plain,
( sum(n0,sum(n1,n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f17,f1071]) ).
fof(f1073,plain,
( sum(n0,n0) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f47,f1072]) ).
fof(f1074,plain,
( n0 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f26,f1073]) ).
fof(f1075,plain,
( n0 != sum(n7,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f246,f1074]) ).
fof(f1076,plain,
( n0 != sum(n7,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f17,f1075]) ).
fof(f1077,plain,
( n0 != sum(n7,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f246,f1076]) ).
fof(f1078,plain,
( n0 != sum(n7,sum(n1,n3))
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f6,f1077]) ).
fof(f1079,plain,
( n0 != sum(n7,n4)
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f40,f1078]) ).
fof(f1080,plain,
( $false
| ~ spl0_13
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1079,f107]) ).
fof(f1081,plain,
( ~ spl0_13
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1080]) ).
fof(f1082,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f252,f149]) ).
fof(f1083,plain,
( sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f252,f1082]) ).
fof(f1084,plain,
( sum(sum(pred(sk0_0),n5),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f8,f1083]) ).
fof(f1085,plain,
( sum(sum(pred(sk0_0),n5),sum(pred(n4),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f252,f1084]) ).
fof(f1086,plain,
( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n4)))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f19,f1085]) ).
fof(f1087,plain,
( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n4),succ(n4)))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f252,f1086]) ).
fof(f1088,plain,
( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n3,succ(n4)))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f19,f1087]) ).
fof(f1089,plain,
( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n3,n5))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f8,f1088]) ).
fof(f1090,plain,
( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f64,f1089]) ).
fof(f1110,plain,
( sum(sum(n9,succ(n4)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f252,f736]) ).
fof(f1111,plain,
( sum(sum(n9,n5),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f8,f1110]) ).
fof(f1112,plain,
( sum(n3,sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f130,f1111]) ).
fof(f1113,plain,
( sum(n3,sum(pred(n4),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f252,f1112]) ).
fof(f1114,plain,
( sum(n3,sum(n3,n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f19,f1113]) ).
fof(f1115,plain,
( sum(n3,n3) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f59,f1114]) ).
fof(f1116,plain,
( n6 != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f62,f1115]) ).
fof(f1117,plain,
( n6 != sum(n9,sum(pred(n4),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f252,f1116]) ).
fof(f1118,plain,
( n6 != sum(n9,sum(n3,succ(sk0_1)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f19,f1117]) ).
fof(f1119,plain,
( n6 != sum(n9,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f252,f1118]) ).
fof(f1120,plain,
( n6 != sum(n9,sum(n3,n5))
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f8,f1119]) ).
fof(f1121,plain,
( n6 != sum(n9,n8)
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f64,f1120]) ).
fof(f1122,plain,
( $false
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1121,f133]) ).
fof(f1123,plain,
( ~ spl0_15
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1122]) ).
fof(f1124,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f224,f149]) ).
fof(f1125,plain,
( sum(sum(pred(n6),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f224,f1124]) ).
fof(f1126,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f21,f1125]) ).
fof(f1127,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f224,f1126]) ).
fof(f1128,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f10,f1127]) ).
fof(f1129,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f224,f1128]) ).
fof(f1130,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f21,f1129]) ).
fof(f1131,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,n7),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f10,f1130]) ).
fof(f1132,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f88,f1131]) ).
fof(f1151,plain,
( sum(sum(n5,succ(n6)),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f258,f373]) ).
fof(f1152,plain,
( sum(sum(n5,n7),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f10,f1151]) ).
fof(f1153,plain,
( sum(n1,sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f88,f1152]) ).
fof(f1154,plain,
( sum(n1,sum(pred(n6),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f258,f1153]) ).
fof(f1155,plain,
( sum(n1,sum(n5,n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f21,f1154]) ).
fof(f1156,plain,
( sum(n1,n1) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f88,f1155]) ).
fof(f1157,plain,
( n2 != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f38,f1156]) ).
fof(f1158,plain,
( n2 != sum(n1,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f258,f1157]) ).
fof(f1159,plain,
( n2 != sum(n1,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f21,f1158]) ).
fof(f1160,plain,
( n2 != sum(n1,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f258,f1159]) ).
fof(f1161,plain,
( n2 != sum(n1,sum(n5,n7))
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f10,f1160]) ).
fof(f1162,plain,
( n2 != sum(n1,n1)
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f88,f1161]) ).
fof(f1163,plain,
( $false
| ~ spl0_17
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1162,f38]) ).
fof(f1164,plain,
( ~ spl0_17
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f1163]) ).
fof(f1165,plain,
( sum(sum(n4,succ(n6)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f258,f385]) ).
fof(f1166,plain,
( sum(sum(n4,n7),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f10,f1165]) ).
fof(f1167,plain,
( sum(n0,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f77,f1166]) ).
fof(f1168,plain,
( sum(n0,sum(pred(n6),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f258,f1167]) ).
fof(f1169,plain,
( sum(n0,sum(n5,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f21,f1168]) ).
fof(f1170,plain,
( sum(n0,n0) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f87,f1169]) ).
fof(f1171,plain,
( n0 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f26,f1170]) ).
fof(f1172,plain,
( n0 != sum(n10,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f258,f1171]) ).
fof(f1173,plain,
( n0 != sum(n10,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f21,f1172]) ).
fof(f1174,plain,
( n0 != sum(n10,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f258,f1173]) ).
fof(f1175,plain,
( n0 != sum(n10,sum(n5,n7))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f10,f1174]) ).
fof(f1176,plain,
( n0 != sum(n10,n1)
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f88,f1175]) ).
fof(f1177,plain,
( $false
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f1176,f137]) ).
fof(f1178,plain,
( ~ spl0_17
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f1177]) ).
fof(f1188,plain,
( sum(sum(n3,succ(n6)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f258,f397]) ).
fof(f1189,plain,
( sum(sum(n3,n7),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f10,f1188]) ).
fof(f1190,plain,
( sum(n10,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f66,f1189]) ).
fof(f1191,plain,
( sum(n10,sum(pred(n6),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f258,f1190]) ).
fof(f1192,plain,
( sum(n10,sum(n5,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f21,f1191]) ).
fof(f1193,plain,
( sum(n10,n10) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f86,f1192]) ).
fof(f1194,plain,
( n9 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f146,f1193]) ).
fof(f1195,plain,
( n9 != sum(n8,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f258,f1194]) ).
fof(f1196,plain,
( n9 != sum(n8,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f21,f1195]) ).
fof(f1197,plain,
( n9 != sum(n8,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f258,f1196]) ).
fof(f1198,plain,
( n9 != sum(n8,sum(n5,n7))
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f10,f1197]) ).
fof(f1199,plain,
( n9 != sum(n8,n1)
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f88,f1198]) ).
fof(f1200,plain,
( $false
| ~ spl0_17
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f1199,f115]) ).
fof(f1201,plain,
( ~ spl0_17
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f1200]) ).
fof(f1202,plain,
( sum(sum(n2,succ(n6)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f258,f409]) ).
fof(f1203,plain,
( sum(sum(n2,n7),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f10,f1202]) ).
fof(f1204,plain,
( sum(n9,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f55,f1203]) ).
fof(f1205,plain,
( sum(n9,sum(pred(n6),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f258,f1204]) ).
fof(f1206,plain,
( sum(n9,sum(n5,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f21,f1205]) ).
fof(f1207,plain,
( sum(n9,n9) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f85,f1206]) ).
fof(f1208,plain,
( n7 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f134,f1207]) ).
fof(f1209,plain,
( n7 != sum(n6,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f258,f1208]) ).
fof(f1210,plain,
( n7 != sum(n6,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f21,f1209]) ).
fof(f1211,plain,
( n7 != sum(n6,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f258,f1210]) ).
fof(f1212,plain,
( n7 != sum(n6,sum(n5,n7))
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f10,f1211]) ).
fof(f1213,plain,
( n7 != sum(n6,n1)
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f88,f1212]) ).
fof(f1214,plain,
( $false
| ~ spl0_17
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1213,f93]) ).
fof(f1215,plain,
( ~ spl0_17
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1214]) ).
fof(f1216,plain,
( sum(sum(n1,succ(n6)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f258,f421]) ).
fof(f1217,plain,
( sum(sum(n1,n7),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f10,f1216]) ).
fof(f1218,plain,
( sum(n8,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f44,f1217]) ).
fof(f1219,plain,
( sum(n8,sum(pred(n6),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f258,f1218]) ).
fof(f1220,plain,
( sum(n8,sum(n5,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f21,f1219]) ).
fof(f1221,plain,
( sum(n8,n8) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f84,f1220]) ).
fof(f1222,plain,
( n5 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f122,f1221]) ).
fof(f1223,plain,
( n5 != sum(n4,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f258,f1222]) ).
fof(f1224,plain,
( n5 != sum(n4,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f21,f1223]) ).
fof(f1225,plain,
( n5 != sum(n4,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f258,f1224]) ).
fof(f1226,plain,
( n5 != sum(n4,sum(n5,n7))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f10,f1225]) ).
fof(f1227,plain,
( n5 != sum(n4,n1)
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f88,f1226]) ).
fof(f1228,plain,
( $false
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1227,f71]) ).
fof(f1229,plain,
( ~ spl0_17
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f1228]) ).
fof(f1230,plain,
( sum(sum(n0,succ(n6)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f258,f433]) ).
fof(f1231,plain,
( sum(sum(n0,n7),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f10,f1230]) ).
fof(f1232,plain,
( sum(n7,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f33,f1231]) ).
fof(f1233,plain,
( sum(n7,sum(pred(n6),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f258,f1232]) ).
fof(f1234,plain,
( sum(n7,sum(n5,n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f21,f1233]) ).
fof(f1235,plain,
( sum(n7,n7) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f83,f1234]) ).
fof(f1236,plain,
( n3 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f110,f1235]) ).
fof(f1237,plain,
( n3 != sum(n2,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f258,f1236]) ).
fof(f1238,plain,
( n3 != sum(n2,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f21,f1237]) ).
fof(f1239,plain,
( n3 != sum(n2,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f258,f1238]) ).
fof(f1240,plain,
( n3 != sum(n2,sum(n5,n7))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f10,f1239]) ).
fof(f1241,plain,
( n3 != sum(n2,n1)
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f88,f1240]) ).
fof(f1242,plain,
( $false
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1241,f49]) ).
fof(f1243,plain,
( ~ spl0_17
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f1242]) ).
fof(f1244,plain,
( sum(sum(n10,succ(n6)),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f258,f445]) ).
fof(f1245,plain,
( sum(sum(n10,n7),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f10,f1244]) ).
fof(f1246,plain,
( sum(n6,sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f143,f1245]) ).
fof(f1247,plain,
( sum(n6,sum(pred(n6),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f258,f1246]) ).
fof(f1248,plain,
( sum(n6,sum(n5,n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f21,f1247]) ).
fof(f1249,plain,
( sum(n6,n6) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f82,f1248]) ).
fof(f1250,plain,
( n1 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f98,f1249]) ).
fof(f1251,plain,
( n1 != sum(n0,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f258,f1250]) ).
fof(f1252,plain,
( n1 != sum(n0,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f21,f1251]) ).
fof(f1253,plain,
( n1 != sum(n0,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f258,f1252]) ).
fof(f1254,plain,
( n1 != sum(n0,sum(n5,n7))
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f10,f1253]) ).
fof(f1255,plain,
( n1 != sum(n0,n1)
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f88,f1254]) ).
fof(f1256,plain,
( $false
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1255,f27]) ).
fof(f1257,plain,
( ~ spl0_17
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f1256]) ).
fof(f1258,plain,
( sum(sum(n7,succ(n6)),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f258,f349]) ).
fof(f1259,plain,
( sum(sum(n7,n7),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f10,f1258]) ).
fof(f1260,plain,
( sum(n3,sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f110,f1259]) ).
fof(f1261,plain,
( sum(n3,sum(pred(n6),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f258,f1260]) ).
fof(f1262,plain,
( sum(n3,sum(n5,n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f21,f1261]) ).
fof(f1263,plain,
( sum(n3,n3) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f90,f1262]) ).
fof(f1264,plain,
( n6 != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f62,f1263]) ).
fof(f1265,plain,
( n6 != sum(n5,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f258,f1264]) ).
fof(f1266,plain,
( n6 != sum(n5,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f21,f1265]) ).
fof(f1267,plain,
( n6 != sum(n5,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f258,f1266]) ).
fof(f1268,plain,
( n6 != sum(n5,sum(n5,n7))
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f10,f1267]) ).
fof(f1269,plain,
( n6 != sum(n5,n1)
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f88,f1268]) ).
fof(f1270,plain,
( $false
| ~ spl0_17
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f1269,f82]) ).
fof(f1271,plain,
( ~ spl0_17
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f1270]) ).
fof(f1290,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f255,f361]) ).
fof(f1291,plain,
( sum(sum(n6,succ(n5)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f255,f1290]) ).
fof(f1292,plain,
( sum(sum(n6,n6),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f9,f1291]) ).
fof(f1293,plain,
( sum(n1,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f98,f1292]) ).
fof(f1294,plain,
( sum(n1,sum(pred(n5),n8)) != sum(n3,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f255,f1293]) ).
fof(f1295,plain,
( sum(n1,sum(n4,n8)) != sum(n3,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f20,f1294]) ).
fof(f1296,plain,
( sum(n1,n1) != sum(n3,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f78,f1295]) ).
fof(f1297,plain,
( n2 != sum(n3,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f38,f1296]) ).
fof(f1298,plain,
( n2 != sum(n3,sum(pred(n5),succ(n5)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f255,f1297]) ).
fof(f1299,plain,
( n2 != sum(n3,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f20,f1298]) ).
fof(f1300,plain,
( n2 != sum(n3,sum(n4,n6))
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f9,f1299]) ).
fof(f1301,plain,
( n2 != sum(n3,n10)
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f76,f1300]) ).
fof(f1302,plain,
( $false
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1301,f69]) ).
fof(f1303,plain,
( ~ spl0_16
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1302]) ).
fof(f1304,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f264,f149]) ).
fof(f1305,plain,
( sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f264,f1304]) ).
fof(f1306,plain,
( sum(sum(pred(sk0_0),n9),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f12,f1305]) ).
fof(f1307,plain,
( sum(sum(pred(sk0_0),n9),sum(pred(n8),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f264,f1306]) ).
fof(f1308,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f23,f1307]) ).
fof(f1309,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n8),succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f264,f1308]) ).
fof(f1310,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n7,succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f23,f1309]) ).
fof(f1311,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n7,n9))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f12,f1310]) ).
fof(f1312,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f112,f1311]) ).
fof(f1323,plain,
( sum(sum(n9,succ(n8)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f264,f661]) ).
fof(f1324,plain,
( sum(sum(n9,n9),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f12,f1323]) ).
fof(f1325,plain,
( sum(n7,sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f134,f1324]) ).
fof(f1326,plain,
( sum(n7,sum(pred(n8),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f264,f1325]) ).
fof(f1327,plain,
( sum(n7,sum(n7,n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f23,f1326]) ).
fof(f1328,plain,
( sum(n7,n7) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f103,f1327]) ).
fof(f1329,plain,
( n3 != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f110,f1328]) ).
fof(f1330,plain,
( n3 != sum(n9,sum(pred(n8),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f264,f1329]) ).
fof(f1331,plain,
( n3 != sum(n9,sum(n7,succ(sk0_1)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f23,f1330]) ).
fof(f1332,plain,
( n3 != sum(n9,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f264,f1331]) ).
fof(f1333,plain,
( n3 != sum(n9,sum(n7,n9))
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f12,f1332]) ).
fof(f1334,plain,
( n3 != sum(n9,n5)
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f112,f1333]) ).
fof(f1335,plain,
( $false
| ~ spl0_19
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1334,f130]) ).
fof(f1336,plain,
( ~ spl0_19
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1335]) ).
fof(f1365,plain,
( sum(sum(n8,succ(n7)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f261,f694]) ).
fof(f1366,plain,
( sum(sum(n8,n8),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f11,f1365]) ).
fof(f1367,plain,
( sum(n5,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f122,f1366]) ).
fof(f1368,plain,
( sum(n5,sum(pred(n7),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f261,f1367]) ).
fof(f1369,plain,
( sum(n5,sum(n6,n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f22,f1368]) ).
fof(f1370,plain,
( sum(n5,n5) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f102,f1369]) ).
fof(f1371,plain,
( n10 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f86,f1370]) ).
fof(f1372,plain,
( n10 != sum(n7,sum(pred(n7),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f261,f1371]) ).
fof(f1373,plain,
( n10 != sum(n7,sum(n6,succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f22,f1372]) ).
fof(f1374,plain,
( n10 != sum(n7,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f261,f1373]) ).
fof(f1375,plain,
( n10 != sum(n7,sum(n6,n8))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f11,f1374]) ).
fof(f1376,plain,
( n10 != sum(n7,n3)
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f100,f1375]) ).
fof(f1377,plain,
( $false
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f106]) ).
fof(f1378,plain,
( ~ spl0_18
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1377]) ).
fof(f1379,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f270,f149]) ).
fof(f1380,plain,
( sum(sum(pred(sk0_0),succ(n10)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f270,f1379]) ).
fof(f1381,plain,
( sum(sum(pred(sk0_0),n0),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f14,f1380]) ).
fof(f1382,plain,
( sum(sum(pred(sk0_0),n0),sum(pred(n10),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f270,f1381]) ).
fof(f1383,plain,
( sum(sum(pred(sk0_0),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n10)))
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f25,f1382]) ).
fof(f1384,plain,
( sum(sum(pred(sk0_0),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n10),succ(n10)))
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f270,f1383]) ).
fof(f1385,plain,
( sum(sum(pred(sk0_0),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,succ(n10)))
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f25,f1384]) ).
fof(f1386,plain,
( sum(sum(pred(sk0_0),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n9,n0))
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f14,f1385]) ).
fof(f1387,plain,
( sum(sum(pred(sk0_0),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f125,f1386]) ).
fof(f1408,plain,
( sum(sum(n9,succ(n10)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f270,f580]) ).
fof(f1409,plain,
( sum(sum(n9,n0),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f1408]) ).
fof(f1410,plain,
( sum(n9,sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f1409]) ).
fof(f1411,plain,
( sum(n9,sum(pred(n10),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f270,f1410]) ).
fof(f1412,plain,
( sum(n9,sum(n9,n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f1411]) ).
fof(f1413,plain,
( sum(n9,n9) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f1412]) ).
fof(f1414,plain,
( n7 != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f134,f1413]) ).
fof(f1415,plain,
( n7 != sum(n9,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f270,f1414]) ).
fof(f1416,plain,
( n7 != sum(n9,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f25,f1415]) ).
fof(f1417,plain,
( n7 != sum(n9,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f270,f1416]) ).
fof(f1418,plain,
( n7 != sum(n9,sum(n9,n0))
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f14,f1417]) ).
fof(f1419,plain,
( n7 != sum(n9,n9)
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f1418]) ).
fof(f1420,plain,
( $false
| ~ spl0_21
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1419,f134]) ).
fof(f1421,plain,
( ~ spl0_21
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1420]) ).
fof(f1422,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f267,f149]) ).
fof(f1423,plain,
( sum(sum(pred(sk0_0),succ(n9)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f267,f1422]) ).
fof(f1424,plain,
( sum(sum(pred(sk0_0),n10),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f13,f1423]) ).
fof(f1425,plain,
( sum(sum(pred(sk0_0),n10),sum(pred(n9),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f267,f1424]) ).
fof(f1426,plain,
( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n9)))
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f24,f1425]) ).
fof(f1427,plain,
( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n9),succ(n9)))
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f267,f1426]) ).
fof(f1428,plain,
( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n8,succ(n9)))
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f24,f1427]) ).
fof(f1429,plain,
( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n8,n10))
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f13,f1428]) ).
fof(f1430,plain,
( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f124,f1429]) ).
fof(f1451,plain,
( sum(sum(n8,succ(n9)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f267,f337]) ).
fof(f1452,plain,
( sum(sum(n8,n10),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f1451]) ).
fof(f1453,plain,
( sum(n7,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f1452]) ).
fof(f1454,plain,
( sum(n7,sum(pred(n9),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f267,f1453]) ).
fof(f1455,plain,
( sum(n7,sum(n8,n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f1454]) ).
fof(f1456,plain,
( sum(n7,n7) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f1455]) ).
fof(f1457,plain,
( n3 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f110,f1456]) ).
fof(f1458,plain,
( n3 != sum(n7,sum(pred(n9),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f267,f1457]) ).
fof(f1459,plain,
( n3 != sum(n7,sum(n8,succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f1458]) ).
fof(f1460,plain,
( n3 != sum(n7,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f267,f1459]) ).
fof(f1461,plain,
( n3 != sum(n7,sum(n8,n10))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f1460]) ).
fof(f1462,plain,
( n3 != sum(n7,n7)
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f1461]) ).
fof(f1463,plain,
( $false
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1462,f110]) ).
fof(f1464,plain,
( ~ spl0_20
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1463]) ).
fof(f1465,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f243,f149]) ).
fof(f1466,plain,
( sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f243,f1465]) ).
fof(f1467,plain,
( sum(sum(pred(sk0_0),n2),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f5,f1466]) ).
fof(f1468,plain,
( sum(sum(pred(sk0_0),n2),sum(pred(n1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f243,f1467]) ).
fof(f1469,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f16,f1468]) ).
fof(f1470,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n1),succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f243,f1469]) ).
fof(f1471,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f16,f1470]) ).
fof(f1472,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,n2))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f5,f1471]) ).
fof(f1473,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f28,f1472]) ).
fof(f1494,plain,
( sum(sum(n9,succ(n1)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f243,f736]) ).
fof(f1495,plain,
( sum(sum(n9,n2),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f5,f1494]) ).
fof(f1496,plain,
( sum(n0,sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f127,f1495]) ).
fof(f1497,plain,
( sum(n0,sum(pred(n1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f243,f1496]) ).
fof(f1498,plain,
( sum(n0,sum(n0,n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f16,f1497]) ).
fof(f1499,plain,
( sum(n0,n0) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f26,f1498]) ).
fof(f1500,plain,
( n0 != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f26,f1499]) ).
fof(f1501,plain,
( n0 != sum(n9,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f243,f1500]) ).
fof(f1502,plain,
( n0 != sum(n9,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f16,f1501]) ).
fof(f1503,plain,
( n0 != sum(n9,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f243,f1502]) ).
fof(f1504,plain,
( n0 != sum(n9,sum(n0,n2))
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f5,f1503]) ).
fof(f1505,plain,
( n0 != sum(n9,n2)
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f28,f1504]) ).
fof(f1506,plain,
( $false
| ~ spl0_12
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1505,f127]) ).
fof(f1507,plain,
( ~ spl0_12
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1506]) ).
fof(f1508,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f240,f149]) ).
fof(f1509,plain,
( sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f240,f1508]) ).
fof(f1510,plain,
( sum(sum(pred(sk0_0),n1),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f4,f1509]) ).
fof(f1511,plain,
( sum(sum(pred(sk0_0),n1),sum(pred(n0),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f240,f1510]) ).
fof(f1512,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f15,f1511]) ).
fof(f1513,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n0),succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f240,f1512]) ).
fof(f1514,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n10,succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f15,f1513]) ).
fof(f1515,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n10,n1))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f4,f1514]) ).
fof(f1516,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f137,f1515]) ).
fof(f1527,plain,
( sum(sum(n8,succ(n0)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f240,f778]) ).
fof(f1528,plain,
( sum(sum(n8,n1),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f4,f1527]) ).
fof(f1529,plain,
( sum(n9,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f115,f1528]) ).
fof(f1530,plain,
( sum(n9,sum(pred(n0),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f240,f1529]) ).
fof(f1531,plain,
( sum(n9,sum(n10,n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f15,f1530]) ).
fof(f1532,plain,
( sum(n9,n9) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f146,f1531]) ).
fof(f1533,plain,
( n7 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f134,f1532]) ).
fof(f1534,plain,
( n7 != sum(n7,sum(pred(n0),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f240,f1533]) ).
fof(f1535,plain,
( n7 != sum(n7,sum(n10,succ(sk0_1)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f15,f1534]) ).
fof(f1536,plain,
( n7 != sum(n7,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f240,f1535]) ).
fof(f1537,plain,
( n7 != sum(n7,sum(n10,n1))
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f4,f1536]) ).
fof(f1538,plain,
( n7 != sum(n7,n0)
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f137,f1537]) ).
fof(f1539,plain,
( $false
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1538,f103]) ).
fof(f1540,plain,
( ~ spl0_11
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1539]) ).
fof(f1541,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f249,f149]) ).
fof(f1542,plain,
( sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f249,f1541]) ).
fof(f1543,plain,
( sum(sum(pred(sk0_0),n4),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f7,f1542]) ).
fof(f1544,plain,
( sum(sum(pred(sk0_0),n4),sum(pred(n3),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f249,f1543]) ).
fof(f1545,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f18,f1544]) ).
fof(f1546,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n3),succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f249,f1545]) ).
fof(f1547,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n2,succ(n3)))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f18,f1546]) ).
fof(f1548,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n2,n4))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f7,f1547]) ).
fof(f1549,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f52,f1548]) ).
fof(f1570,plain,
( sum(sum(pred(n7),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f227,f1017]) ).
fof(f1571,plain,
( sum(sum(n6,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f22,f1570]) ).
fof(f1572,plain,
( sum(n10,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f96,f1571]) ).
fof(f1573,plain,
( sum(n10,sum(n2,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f227,f1572]) ).
fof(f1574,plain,
( sum(n10,sum(n2,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f11,f1573]) ).
fof(f1575,plain,
( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f56,f1574]) ).
fof(f1576,plain,
( n9 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f146,f1575]) ).
fof(f1577,plain,
( n9 != sum(sum(pred(n7),succ(sk0_0)),n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f227,f1576]) ).
fof(f1578,plain,
( n9 != sum(sum(n6,succ(sk0_0)),n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f22,f1577]) ).
fof(f1579,plain,
( n9 != sum(sum(n6,succ(n7)),n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f227,f1578]) ).
fof(f1580,plain,
( n9 != sum(sum(n6,n8),n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f11,f1579]) ).
fof(f1581,plain,
( n9 != sum(n3,n6)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f100,f1580]) ).
fof(f1582,plain,
( $false
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f1581,f65]) ).
fof(f1583,plain,
( ~ spl0_7
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f1582]) ).
fof(f1584,plain,
( sum(sum(pred(n7),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f227,f1058]) ).
fof(f1585,plain,
( sum(sum(n6,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f22,f1584]) ).
fof(f1586,plain,
( sum(n9,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f95,f1585]) ).
fof(f1587,plain,
( sum(n9,sum(n1,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f227,f1586]) ).
fof(f1588,plain,
( sum(n9,sum(n1,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f11,f1587]) ).
fof(f1589,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f45,f1588]) ).
fof(f1590,plain,
( n7 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f134,f1589]) ).
fof(f1591,plain,
( n7 != sum(sum(pred(n7),succ(sk0_0)),n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f227,f1590]) ).
fof(f1592,plain,
( n7 != sum(sum(n6,succ(sk0_0)),n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f22,f1591]) ).
fof(f1593,plain,
( n7 != sum(sum(n6,succ(n7)),n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f227,f1592]) ).
fof(f1594,plain,
( n7 != sum(sum(n6,n8),n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f11,f1593]) ).
fof(f1595,plain,
( n7 != sum(n3,n4)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f100,f1594]) ).
fof(f1596,plain,
( $false
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f1595,f63]) ).
fof(f1597,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f1596]) ).
fof(f1627,plain,
( sum(sum(pred(n6),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f224,f1090]) ).
fof(f1628,plain,
( sum(sum(n5,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f21,f1627]) ).
fof(f1629,plain,
( sum(n10,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f86,f1628]) ).
fof(f1630,plain,
( sum(n10,sum(n3,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f224,f1629]) ).
fof(f1631,plain,
( sum(n10,sum(n3,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f10,f1630]) ).
fof(f1632,plain,
( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f66,f1631]) ).
fof(f1633,plain,
( n9 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f146,f1632]) ).
fof(f1634,plain,
( n9 != sum(sum(pred(n6),succ(sk0_0)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f224,f1633]) ).
fof(f1635,plain,
( n9 != sum(sum(n5,succ(sk0_0)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f21,f1634]) ).
fof(f1636,plain,
( n9 != sum(sum(n5,succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f224,f1635]) ).
fof(f1637,plain,
( n9 != sum(sum(n5,n7),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f10,f1636]) ).
fof(f1638,plain,
( n9 != sum(n1,n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f88,f1637]) ).
fof(f1639,plain,
( $false
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1638,f45]) ).
fof(f1640,plain,
( ~ spl0_6
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1639]) ).
fof(f1641,plain,
( sum(sum(n4,succ(n4)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f252,f385]) ).
fof(f1642,plain,
( sum(sum(n4,n5),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f8,f1641]) ).
fof(f1643,plain,
( sum(n9,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f75,f1642]) ).
fof(f1644,plain,
( sum(n9,sum(pred(n4),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f252,f1643]) ).
fof(f1645,plain,
( sum(n9,sum(n3,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f19,f1644]) ).
fof(f1646,plain,
( sum(n9,n9) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f1645]) ).
fof(f1647,plain,
( n7 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f134,f1646]) ).
fof(f1648,plain,
( n7 != sum(n10,sum(pred(n4),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f252,f1647]) ).
fof(f1649,plain,
( n7 != sum(n10,sum(n3,succ(sk0_1)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f19,f1648]) ).
fof(f1650,plain,
( n7 != sum(n10,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f252,f1649]) ).
fof(f1651,plain,
( n7 != sum(n10,sum(n3,n5))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f8,f1650]) ).
fof(f1652,plain,
( n7 != sum(n10,n8)
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f64,f1651]) ).
fof(f1653,plain,
( $false
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f1652,f144]) ).
fof(f1654,plain,
( ~ spl0_15
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f1653]) ).
fof(f1655,plain,
( sum(sum(n3,succ(n4)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f252,f397]) ).
fof(f1656,plain,
( sum(sum(n3,n5),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f1655]) ).
fof(f1657,plain,
( sum(n8,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f64,f1656]) ).
fof(f1658,plain,
( sum(n8,sum(pred(n4),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f252,f1657]) ).
fof(f1659,plain,
( sum(n8,sum(n3,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f1658]) ).
fof(f1660,plain,
( sum(n8,n8) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f64,f1659]) ).
fof(f1661,plain,
( n5 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f122,f1660]) ).
fof(f1662,plain,
( n5 != sum(n8,sum(pred(n4),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f252,f1661]) ).
fof(f1663,plain,
( n5 != sum(n8,sum(n3,succ(sk0_1)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f1662]) ).
fof(f1664,plain,
( n5 != sum(n8,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f252,f1663]) ).
fof(f1665,plain,
( n5 != sum(n8,sum(n3,n5))
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f1664]) ).
fof(f1666,plain,
( n5 != sum(n8,n8)
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f64,f1665]) ).
fof(f1667,plain,
( $false
| ~ spl0_15
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f1666,f122]) ).
fof(f1668,plain,
( ~ spl0_15
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f1667]) ).
fof(f1669,plain,
( sum(sum(n2,succ(n4)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f252,f409]) ).
fof(f1670,plain,
( sum(sum(n2,n5),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f8,f1669]) ).
fof(f1671,plain,
( sum(n7,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f53,f1670]) ).
fof(f1672,plain,
( sum(n7,sum(pred(n4),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f252,f1671]) ).
fof(f1673,plain,
( sum(n7,sum(n3,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f19,f1672]) ).
fof(f1674,plain,
( sum(n7,n7) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f63,f1673]) ).
fof(f1675,plain,
( n3 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f110,f1674]) ).
fof(f1676,plain,
( n3 != sum(n6,sum(pred(n4),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f252,f1675]) ).
fof(f1677,plain,
( n3 != sum(n6,sum(n3,succ(sk0_1)))
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f19,f1676]) ).
fof(f1678,plain,
( n3 != sum(n6,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f252,f1677]) ).
fof(f1679,plain,
( n3 != sum(n6,sum(n3,n5))
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f8,f1678]) ).
fof(f1680,plain,
( n3 != sum(n6,n8)
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f64,f1679]) ).
fof(f1681,plain,
( $false
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1680,f100]) ).
fof(f1682,plain,
( ~ spl0_15
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1681]) ).
fof(f1683,plain,
( sum(sum(n1,succ(n4)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f252,f421]) ).
fof(f1684,plain,
( sum(sum(n1,n5),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f8,f1683]) ).
fof(f1685,plain,
( sum(n6,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f42,f1684]) ).
fof(f1686,plain,
( sum(n6,sum(pred(n4),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f252,f1685]) ).
fof(f1687,plain,
( sum(n6,sum(n3,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f19,f1686]) ).
fof(f1688,plain,
( sum(n6,n6) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f62,f1687]) ).
fof(f1689,plain,
( n1 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f98,f1688]) ).
fof(f1690,plain,
( n1 != sum(n4,sum(pred(n4),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f252,f1689]) ).
fof(f1691,plain,
( n1 != sum(n4,sum(n3,succ(sk0_1)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f19,f1690]) ).
fof(f1692,plain,
( n1 != sum(n4,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f252,f1691]) ).
fof(f1693,plain,
( n1 != sum(n4,sum(n3,n5))
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f8,f1692]) ).
fof(f1694,plain,
( n1 != sum(n4,n8)
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f64,f1693]) ).
fof(f1695,plain,
( $false
| ~ spl0_15
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1694,f78]) ).
fof(f1696,plain,
( ~ spl0_15
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f1695]) ).
fof(f1697,plain,
( sum(sum(n0,succ(n4)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f252,f433]) ).
fof(f1698,plain,
( sum(sum(n0,n5),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f8,f1697]) ).
fof(f1699,plain,
( sum(n5,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f31,f1698]) ).
fof(f1700,plain,
( sum(n5,sum(pred(n4),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f252,f1699]) ).
fof(f1701,plain,
( sum(n5,sum(n3,n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f19,f1700]) ).
fof(f1702,plain,
( sum(n5,n5) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f61,f1701]) ).
fof(f1703,plain,
( n10 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f86,f1702]) ).
fof(f1704,plain,
( n10 != sum(n2,sum(pred(n4),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f252,f1703]) ).
fof(f1705,plain,
( n10 != sum(n2,sum(n3,succ(sk0_1)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f19,f1704]) ).
fof(f1706,plain,
( n10 != sum(n2,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f252,f1705]) ).
fof(f1707,plain,
( n10 != sum(n2,sum(n3,n5))
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f8,f1706]) ).
fof(f1708,plain,
( n10 != sum(n2,n8)
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f64,f1707]) ).
fof(f1709,plain,
( $false
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1708,f56]) ).
fof(f1710,plain,
( ~ spl0_15
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f1709]) ).
fof(f1711,plain,
( sum(sum(n10,succ(n4)),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f252,f445]) ).
fof(f1712,plain,
( sum(sum(n10,n5),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f8,f1711]) ).
fof(f1713,plain,
( sum(n4,sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f141,f1712]) ).
fof(f1714,plain,
( sum(n4,sum(pred(n4),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f252,f1713]) ).
fof(f1715,plain,
( sum(n4,sum(n3,n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f19,f1714]) ).
fof(f1716,plain,
( sum(n4,n4) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f60,f1715]) ).
fof(f1717,plain,
( n8 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f74,f1716]) ).
fof(f1718,plain,
( n8 != sum(n0,sum(pred(n4),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f252,f1717]) ).
fof(f1719,plain,
( n8 != sum(n0,sum(n3,succ(sk0_1)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f19,f1718]) ).
fof(f1720,plain,
( n8 != sum(n0,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f252,f1719]) ).
fof(f1721,plain,
( n8 != sum(n0,sum(n3,n5))
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f8,f1720]) ).
fof(f1722,plain,
( n8 != sum(n0,n8)
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f64,f1721]) ).
fof(f1723,plain,
( $false
| ~ spl0_15
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1722,f34]) ).
fof(f1724,plain,
( ~ spl0_15
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f1723]) ).
fof(f1725,plain,
( sum(sum(n7,succ(n4)),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f252,f349]) ).
fof(f1726,plain,
( sum(sum(n7,n5),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f8,f1725]) ).
fof(f1727,plain,
( sum(n1,sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f108,f1726]) ).
fof(f1728,plain,
( sum(n1,sum(pred(n4),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f252,f1727]) ).
fof(f1729,plain,
( sum(n1,sum(n3,n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f19,f1728]) ).
fof(f1730,plain,
( sum(n1,n1) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f68,f1729]) ).
fof(f1731,plain,
( n2 != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f38,f1730]) ).
fof(f1732,plain,
( n2 != sum(n5,sum(pred(n4),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f252,f1731]) ).
fof(f1733,plain,
( n2 != sum(n5,sum(n3,succ(sk0_1)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f19,f1732]) ).
fof(f1734,plain,
( n2 != sum(n5,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f252,f1733]) ).
fof(f1735,plain,
( n2 != sum(n5,sum(n3,n5))
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f8,f1734]) ).
fof(f1736,plain,
( n2 != sum(n5,n8)
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f64,f1735]) ).
fof(f1737,plain,
( $false
| ~ spl0_15
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f1736,f89]) ).
fof(f1738,plain,
( ~ spl0_15
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f1737]) ).
fof(f1739,plain,
( sum(sum(n6,succ(n4)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f252,f858]) ).
fof(f1740,plain,
( sum(sum(n6,n5),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f8,f1739]) ).
fof(f1741,plain,
( sum(n0,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f97,f1740]) ).
fof(f1742,plain,
( sum(n0,sum(pred(n4),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f252,f1741]) ).
fof(f1743,plain,
( sum(n0,sum(n3,n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f19,f1742]) ).
fof(f1744,plain,
( sum(n0,n0) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f67,f1743]) ).
fof(f1745,plain,
( n0 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f26,f1744]) ).
fof(f1746,plain,
( n0 != sum(n3,sum(pred(n4),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f252,f1745]) ).
fof(f1747,plain,
( n0 != sum(n3,sum(n3,succ(sk0_1)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f19,f1746]) ).
fof(f1748,plain,
( n0 != sum(n3,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f252,f1747]) ).
fof(f1749,plain,
( n0 != sum(n3,sum(n3,n5))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f8,f1748]) ).
fof(f1750,plain,
( n0 != sum(n3,n8)
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f64,f1749]) ).
fof(f1751,plain,
( $false
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1750,f67]) ).
fof(f1752,plain,
( ~ spl0_15
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1751]) ).
fof(f1763,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f255,f149]) ).
fof(f1764,plain,
( sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f255,f1763]) ).
fof(f1765,plain,
( sum(sum(pred(sk0_0),n6),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f9,f1764]) ).
fof(f1766,plain,
( sum(sum(pred(sk0_0),n6),sum(pred(n5),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f255,f1765]) ).
fof(f1767,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f20,f1766]) ).
fof(f1768,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n5),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f255,f1767]) ).
fof(f1769,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f20,f1768]) ).
fof(f1770,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,n6))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f9,f1769]) ).
fof(f1771,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f76,f1770]) ).
fof(f1782,plain,
( sum(sum(n8,succ(n5)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f255,f620]) ).
fof(f1783,plain,
( sum(sum(n8,n6),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f9,f1782]) ).
fof(f1784,plain,
( sum(n3,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f120,f1783]) ).
fof(f1785,plain,
( sum(n3,sum(pred(n5),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f255,f1784]) ).
fof(f1786,plain,
( sum(n3,sum(n4,n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f20,f1785]) ).
fof(f1787,plain,
( sum(n3,n3) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f80,f1786]) ).
fof(f1788,plain,
( n6 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f62,f1787]) ).
fof(f1789,plain,
( n6 != sum(n7,sum(pred(n5),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f255,f1788]) ).
fof(f1790,plain,
( n6 != sum(n7,sum(n4,succ(sk0_1)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f20,f1789]) ).
fof(f1791,plain,
( n6 != sum(n7,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f255,f1790]) ).
fof(f1792,plain,
( n6 != sum(n7,sum(n4,n6))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f9,f1791]) ).
fof(f1793,plain,
( n6 != sum(n7,n10)
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f76,f1792]) ).
fof(f1794,plain,
( $false
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1793,f113]) ).
fof(f1795,plain,
( ~ spl0_16
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1794]) ).
fof(f1796,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f224,f149]) ).
fof(f1797,plain,
( sum(sum(pred(n6),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f224,f1796]) ).
fof(f1798,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f21,f1797]) ).
fof(f1799,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f224,f1798]) ).
fof(f1800,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f10,f1799]) ).
fof(f1801,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f224,f1800]) ).
fof(f1802,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,succ(n6)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f21,f1801]) ).
fof(f1803,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(sum(n5,n7),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f10,f1802]) ).
fof(f1804,plain,
( sum(sum(n5,succ(sk0_1)),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f88,f1803]) ).
fof(f1823,plain,
( sum(sum(n5,succ(n0)),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f240,f1132]) ).
fof(f1824,plain,
( sum(sum(n5,n1),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f4,f1823]) ).
fof(f1825,plain,
( sum(n6,sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f82,f1824]) ).
fof(f1826,plain,
( sum(n6,sum(pred(n0),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f240,f1825]) ).
fof(f1827,plain,
( sum(n6,sum(n10,n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f15,f1826]) ).
fof(f1828,plain,
( sum(n6,n6) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f143,f1827]) ).
fof(f1829,plain,
( n1 != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f98,f1828]) ).
fof(f1830,plain,
( n1 != sum(n1,sum(pred(n0),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f240,f1829]) ).
fof(f1831,plain,
( n1 != sum(n1,sum(n10,succ(sk0_1)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f15,f1830]) ).
fof(f1832,plain,
( n1 != sum(n1,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f240,f1831]) ).
fof(f1833,plain,
( n1 != sum(n1,sum(n10,n1))
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f4,f1832]) ).
fof(f1834,plain,
( n1 != sum(n1,n0)
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f137,f1833]) ).
fof(f1835,plain,
( $false
| ~ spl0_11
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1834,f37]) ).
fof(f1836,plain,
( ~ spl0_11
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f1835]) ).
fof(f1847,plain,
( sum(sum(n5,succ(n7)),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f261,f373]) ).
fof(f1848,plain,
( sum(sum(n5,n8),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f11,f1847]) ).
fof(f1849,plain,
( sum(n2,sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f89,f1848]) ).
fof(f1850,plain,
( sum(n2,sum(pred(n7),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f261,f1849]) ).
fof(f1851,plain,
( sum(n2,sum(n6,n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f22,f1850]) ).
fof(f1852,plain,
( sum(n2,n2) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f99,f1851]) ).
fof(f1853,plain,
( n4 != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f50,f1852]) ).
fof(f1854,plain,
( n4 != sum(n1,sum(pred(n7),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f261,f1853]) ).
fof(f1855,plain,
( n4 != sum(n1,sum(n6,succ(sk0_1)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f22,f1854]) ).
fof(f1856,plain,
( n4 != sum(n1,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f261,f1855]) ).
fof(f1857,plain,
( n4 != sum(n1,sum(n6,n8))
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f11,f1856]) ).
fof(f1858,plain,
( n4 != sum(n1,n3)
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f100,f1857]) ).
fof(f1859,plain,
( $false
| ~ spl0_18
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1858,f40]) ).
fof(f1860,plain,
( ~ spl0_18
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f1859]) ).
fof(f1861,plain,
( sum(sum(pred(n6),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f224,f1058]) ).
fof(f1862,plain,
( sum(sum(n5,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f21,f1861]) ).
fof(f1863,plain,
( sum(n8,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f84,f1862]) ).
fof(f1864,plain,
( sum(n8,sum(n1,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f224,f1863]) ).
fof(f1865,plain,
( sum(n8,sum(n1,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f10,f1864]) ).
fof(f1866,plain,
( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f44,f1865]) ).
fof(f1867,plain,
( n5 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f122,f1866]) ).
fof(f1868,plain,
( n5 != sum(sum(pred(n6),succ(sk0_0)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f224,f1867]) ).
fof(f1869,plain,
( n5 != sum(sum(n5,succ(sk0_0)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f21,f1868]) ).
fof(f1870,plain,
( n5 != sum(sum(n5,succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f224,f1869]) ).
fof(f1871,plain,
( n5 != sum(sum(n5,n7),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f10,f1870]) ).
fof(f1872,plain,
( n5 != sum(n1,n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f88,f1871]) ).
fof(f1873,plain,
( $false
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f1872,f41]) ).
fof(f1874,plain,
( ~ spl0_6
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f1873]) ).
fof(f1875,plain,
( sum(sum(pred(n6),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f224,f1549]) ).
fof(f1876,plain,
( sum(sum(n5,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f21,f1875]) ).
fof(f1877,plain,
( sum(n9,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f85,f1876]) ).
fof(f1878,plain,
( sum(n9,sum(n2,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f224,f1877]) ).
fof(f1879,plain,
( sum(n9,sum(n2,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f10,f1878]) ).
fof(f1880,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f55,f1879]) ).
fof(f1881,plain,
( n7 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f134,f1880]) ).
fof(f1882,plain,
( n7 != sum(sum(pred(n6),succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f224,f1881]) ).
fof(f1883,plain,
( n7 != sum(sum(n5,succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f21,f1882]) ).
fof(f1884,plain,
( n7 != sum(sum(n5,succ(n6)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f224,f1883]) ).
fof(f1885,plain,
( n7 != sum(sum(n5,n7),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f10,f1884]) ).
fof(f1886,plain,
( n7 != sum(n1,n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f88,f1885]) ).
fof(f1887,plain,
( $false
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f1886,f43]) ).
fof(f1888,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f1887]) ).
fof(f1889,plain,
( sum(sum(pred(n6),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f224,f1430]) ).
fof(f1890,plain,
( sum(sum(n5,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f21,f1889]) ).
fof(f1891,plain,
( sum(n4,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f91,f1890]) ).
fof(f1892,plain,
( sum(n4,sum(n8,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f224,f1891]) ).
fof(f1893,plain,
( sum(n4,sum(n8,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f10,f1892]) ).
fof(f1894,plain,
( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f121,f1893]) ).
fof(f1895,plain,
( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f74,f1894]) ).
fof(f1896,plain,
( n8 != sum(sum(pred(n6),succ(sk0_0)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f224,f1895]) ).
fof(f1897,plain,
( n8 != sum(sum(n5,succ(sk0_0)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f21,f1896]) ).
fof(f1898,plain,
( n8 != sum(sum(n5,succ(n6)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f224,f1897]) ).
fof(f1899,plain,
( n8 != sum(sum(n5,n7),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f10,f1898]) ).
fof(f1900,plain,
( n8 != sum(n1,n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f88,f1899]) ).
fof(f1901,plain,
( $false
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1900,f44]) ).
fof(f1902,plain,
( ~ spl0_6
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1901]) ).
fof(f1932,plain,
( sum(sum(pred(n5),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f221,f1387]) ).
fof(f1933,plain,
( sum(sum(n4,n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f20,f1932]) ).
fof(f1934,plain,
( sum(n4,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f70,f1933]) ).
fof(f1935,plain,
( sum(n4,sum(n9,succ(n5))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f221,f1934]) ).
fof(f1936,plain,
( sum(n4,sum(n9,n6)) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f9,f1935]) ).
fof(f1937,plain,
( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f131,f1936]) ).
fof(f1938,plain,
( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f74,f1937]) ).
fof(f1939,plain,
( n8 != sum(sum(pred(n5),succ(sk0_0)),n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f221,f1938]) ).
fof(f1940,plain,
( n8 != sum(sum(n4,succ(sk0_0)),n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f20,f1939]) ).
fof(f1941,plain,
( n8 != sum(sum(n4,succ(n5)),n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f221,f1940]) ).
fof(f1942,plain,
( n8 != sum(sum(n4,n6),n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f9,f1941]) ).
fof(f1943,plain,
( n8 != sum(n10,n9)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f76,f1942]) ).
fof(f1944,plain,
( $false
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f1943,f145]) ).
fof(f1945,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f1944]) ).
fof(f1946,plain,
( sum(sum(n3,succ(n10)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f270,f397]) ).
fof(f1947,plain,
( sum(sum(n3,n0),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f14,f1946]) ).
fof(f1948,plain,
( sum(n3,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f59,f1947]) ).
fof(f1949,plain,
( sum(n3,sum(pred(n10),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f270,f1948]) ).
fof(f1950,plain,
( sum(n3,sum(n9,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f25,f1949]) ).
fof(f1951,plain,
( sum(n3,n3) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f130,f1950]) ).
fof(f1952,plain,
( n6 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f62,f1951]) ).
fof(f1953,plain,
( n6 != sum(n8,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f270,f1952]) ).
fof(f1954,plain,
( n6 != sum(n8,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f25,f1953]) ).
fof(f1955,plain,
( n6 != sum(n8,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f270,f1954]) ).
fof(f1956,plain,
( n6 != sum(n8,sum(n9,n0))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f14,f1955]) ).
fof(f1957,plain,
( n6 != sum(n8,n9)
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f125,f1956]) ).
fof(f1958,plain,
( $false
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f1957,f123]) ).
fof(f1959,plain,
( ~ spl0_21
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f1958]) ).
fof(f1960,plain,
( sum(sum(n2,succ(n10)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f270,f409]) ).
fof(f1961,plain,
( sum(sum(n2,n0),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f14,f1960]) ).
fof(f1962,plain,
( sum(n2,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f48,f1961]) ).
fof(f1963,plain,
( sum(n2,sum(pred(n10),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f270,f1962]) ).
fof(f1964,plain,
( sum(n2,sum(n9,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f25,f1963]) ).
fof(f1965,plain,
( sum(n2,n2) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f129,f1964]) ).
fof(f1966,plain,
( n4 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f50,f1965]) ).
fof(f1967,plain,
( n4 != sum(n6,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f270,f1966]) ).
fof(f1968,plain,
( n4 != sum(n6,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f25,f1967]) ).
fof(f1969,plain,
( n4 != sum(n6,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f270,f1968]) ).
fof(f1970,plain,
( n4 != sum(n6,sum(n9,n0))
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f14,f1969]) ).
fof(f1971,plain,
( n4 != sum(n6,n9)
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f125,f1970]) ).
fof(f1972,plain,
( $false
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1971,f101]) ).
fof(f1973,plain,
( ~ spl0_21
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1972]) ).
fof(f1974,plain,
( sum(sum(n1,succ(n10)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f270,f421]) ).
fof(f1975,plain,
( sum(sum(n1,n0),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f14,f1974]) ).
fof(f1976,plain,
( sum(n1,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f37,f1975]) ).
fof(f1977,plain,
( sum(n1,sum(pred(n10),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f270,f1976]) ).
fof(f1978,plain,
( sum(n1,sum(n9,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f1977]) ).
fof(f1979,plain,
( sum(n1,n1) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f128,f1978]) ).
fof(f1980,plain,
( n2 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f38,f1979]) ).
fof(f1981,plain,
( n2 != sum(n4,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f270,f1980]) ).
fof(f1982,plain,
( n2 != sum(n4,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f25,f1981]) ).
fof(f1983,plain,
( n2 != sum(n4,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f270,f1982]) ).
fof(f1984,plain,
( n2 != sum(n4,sum(n9,n0))
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f14,f1983]) ).
fof(f1985,plain,
( n2 != sum(n4,n9)
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f125,f1984]) ).
fof(f1986,plain,
( $false
| ~ spl0_21
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1985,f79]) ).
fof(f1987,plain,
( ~ spl0_21
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f1986]) ).
fof(f1988,plain,
( sum(sum(n0,succ(n10)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f270,f433]) ).
fof(f1989,plain,
( sum(sum(n0,n0),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f14,f1988]) ).
fof(f1990,plain,
( sum(n0,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f26,f1989]) ).
fof(f1991,plain,
( sum(n0,sum(pred(n10),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f270,f1990]) ).
fof(f1992,plain,
( sum(n0,sum(n9,n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f25,f1991]) ).
fof(f1993,plain,
( sum(n0,n0) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f127,f1992]) ).
fof(f1994,plain,
( n0 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f26,f1993]) ).
fof(f1995,plain,
( n0 != sum(n2,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f270,f1994]) ).
fof(f1996,plain,
( n0 != sum(n2,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f25,f1995]) ).
fof(f1997,plain,
( n0 != sum(n2,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f270,f1996]) ).
fof(f1998,plain,
( n0 != sum(n2,sum(n9,n0))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f14,f1997]) ).
fof(f1999,plain,
( n0 != sum(n2,n9)
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f125,f1998]) ).
fof(f2000,plain,
( $false
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1999,f57]) ).
fof(f2001,plain,
( ~ spl0_21
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2000]) ).
fof(f2002,plain,
( sum(sum(n10,succ(n10)),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f270,f445]) ).
fof(f2003,plain,
( sum(sum(n10,n0),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f14,f2002]) ).
fof(f2004,plain,
( sum(n10,sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f136,f2003]) ).
fof(f2005,plain,
( sum(n10,sum(pred(n10),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f270,f2004]) ).
fof(f2006,plain,
( sum(n10,sum(n9,n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f25,f2005]) ).
fof(f2007,plain,
( sum(n10,n10) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f126,f2006]) ).
fof(f2008,plain,
( n9 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f146,f2007]) ).
fof(f2009,plain,
( n9 != sum(n0,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f270,f2008]) ).
fof(f2010,plain,
( n9 != sum(n0,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f25,f2009]) ).
fof(f2011,plain,
( n9 != sum(n0,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f270,f2010]) ).
fof(f2012,plain,
( n9 != sum(n0,sum(n9,n0))
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f14,f2011]) ).
fof(f2013,plain,
( n9 != sum(n0,n9)
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f125,f2012]) ).
fof(f2014,plain,
( $false
| ~ spl0_21
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2013,f35]) ).
fof(f2015,plain,
( ~ spl0_21
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f2014]) ).
fof(f2016,plain,
( sum(sum(n7,succ(n10)),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f270,f349]) ).
fof(f2017,plain,
( sum(sum(n7,n0),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f14,f2016]) ).
fof(f2018,plain,
( sum(n7,sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f103,f2017]) ).
fof(f2019,plain,
( sum(n7,sum(pred(n10),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f270,f2018]) ).
fof(f2020,plain,
( sum(n7,sum(n9,n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f2019]) ).
fof(f2021,plain,
( sum(n7,n7) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f134,f2020]) ).
fof(f2022,plain,
( n3 != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f110,f2021]) ).
fof(f2023,plain,
( n3 != sum(n5,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f270,f2022]) ).
fof(f2024,plain,
( n3 != sum(n5,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f25,f2023]) ).
fof(f2025,plain,
( n3 != sum(n5,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f270,f2024]) ).
fof(f2026,plain,
( n3 != sum(n5,sum(n9,n0))
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f14,f2025]) ).
fof(f2027,plain,
( n3 != sum(n5,n9)
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f125,f2026]) ).
fof(f2028,plain,
( $false
| ~ spl0_21
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2027,f90]) ).
fof(f2029,plain,
( ~ spl0_21
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2028]) ).
fof(f2030,plain,
( sum(sum(n5,succ(n10)),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f270,f1804]) ).
fof(f2031,plain,
( sum(sum(n5,n0),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f14,f2030]) ).
fof(f2032,plain,
( sum(n5,sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f81,f2031]) ).
fof(f2033,plain,
( sum(n5,sum(pred(n10),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f270,f2032]) ).
fof(f2034,plain,
( sum(n5,sum(n9,n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f25,f2033]) ).
fof(f2035,plain,
( sum(n5,n5) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f132,f2034]) ).
fof(f2036,plain,
( n10 != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f86,f2035]) ).
fof(f2037,plain,
( n10 != sum(n1,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f270,f2036]) ).
fof(f2038,plain,
( n10 != sum(n1,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f25,f2037]) ).
fof(f2039,plain,
( n10 != sum(n1,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f270,f2038]) ).
fof(f2040,plain,
( n10 != sum(n1,sum(n9,n0))
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f14,f2039]) ).
fof(f2041,plain,
( n10 != sum(n1,n9)
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f125,f2040]) ).
fof(f2042,plain,
( $false
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f2041,f46]) ).
fof(f2043,plain,
( ~ spl0_21
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f2042]) ).
fof(f2044,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f255,f149]) ).
fof(f2045,plain,
( sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f255,f2044]) ).
fof(f2046,plain,
( sum(sum(pred(sk0_0),n6),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f9,f2045]) ).
fof(f2047,plain,
( sum(sum(pred(sk0_0),n6),sum(pred(n5),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f255,f2046]) ).
fof(f2048,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f20,f2047]) ).
fof(f2049,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n5),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f255,f2048]) ).
fof(f2050,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f20,f2049]) ).
fof(f2051,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,n6))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f9,f2050]) ).
fof(f2052,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f76,f2051]) ).
fof(f2073,plain,
( sum(sum(pred(n10),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f236,f1771]) ).
fof(f2074,plain,
( sum(sum(n9,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f25,f2073]) ).
fof(f2075,plain,
( sum(n4,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f131,f2074]) ).
fof(f2076,plain,
( sum(n4,sum(n4,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f236,f2075]) ).
fof(f2077,plain,
( sum(n4,sum(n4,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f14,f2076]) ).
fof(f2078,plain,
( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f70,f2077]) ).
fof(f2079,plain,
( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f74,f2078]) ).
fof(f2080,plain,
( n8 != sum(sum(pred(n10),succ(sk0_0)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f236,f2079]) ).
fof(f2081,plain,
( n8 != sum(sum(n9,succ(sk0_0)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f25,f2080]) ).
fof(f2082,plain,
( n8 != sum(sum(n9,succ(n10)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f236,f2081]) ).
fof(f2083,plain,
( n8 != sum(sum(n9,n0),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f14,f2082]) ).
fof(f2084,plain,
( n8 != sum(n9,n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f125,f2083]) ).
fof(f2085,plain,
( $false
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f2084,f135]) ).
fof(f2086,plain,
( ~ spl0_10
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2085]) ).
fof(f2087,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f243,f149]) ).
fof(f2088,plain,
( sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f243,f2087]) ).
fof(f2089,plain,
( sum(sum(pred(sk0_0),n2),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f5,f2088]) ).
fof(f2090,plain,
( sum(sum(pred(sk0_0),n2),sum(pred(n1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f243,f2089]) ).
fof(f2091,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f16,f2090]) ).
fof(f2092,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n1),succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f243,f2091]) ).
fof(f2093,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,succ(n1)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f16,f2092]) ).
fof(f2094,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n0,n2))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f5,f2093]) ).
fof(f2095,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f28,f2094]) ).
fof(f2105,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f221,f1473]) ).
fof(f2106,plain,
( sum(sum(pred(n5),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f221,f2105]) ).
fof(f2107,plain,
( sum(sum(n4,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f20,f2106]) ).
fof(f2108,plain,
( sum(n6,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f72,f2107]) ).
fof(f2109,plain,
( sum(n6,sum(n0,succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f221,f2108]) ).
fof(f2110,plain,
( sum(n6,sum(n0,n6)) != sum(sum(pred(sk0_0),succ(n5)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f9,f2109]) ).
fof(f2111,plain,
( sum(n6,n6) != sum(sum(pred(sk0_0),succ(n5)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f32,f2110]) ).
fof(f2112,plain,
( n1 != sum(sum(pred(sk0_0),succ(n5)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f98,f2111]) ).
fof(f2113,plain,
( n1 != sum(sum(pred(n5),succ(n5)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f221,f2112]) ).
fof(f2114,plain,
( n1 != sum(sum(n4,succ(n5)),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f20,f2113]) ).
fof(f2115,plain,
( n1 != sum(sum(n4,n6),n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f9,f2114]) ).
fof(f2116,plain,
( n1 != sum(n10,n2)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f76,f2115]) ).
fof(f2117,plain,
( $false
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2116,f138]) ).
fof(f2118,plain,
( ~ spl0_5
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f2117]) ).
fof(f2128,plain,
( sum(sum(pred(n5),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f221,f1312]) ).
fof(f2129,plain,
( sum(sum(n4,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f20,f2128]) ).
fof(f2130,plain,
( sum(n2,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f79,f2129]) ).
fof(f2131,plain,
( sum(n2,sum(n7,succ(n5))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f221,f2130]) ).
fof(f2132,plain,
( sum(n2,sum(n7,n6)) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f9,f2131]) ).
fof(f2133,plain,
( sum(n2,n2) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f109,f2132]) ).
fof(f2134,plain,
( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f50,f2133]) ).
fof(f2135,plain,
( n4 != sum(sum(pred(n5),succ(sk0_0)),n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f221,f2134]) ).
fof(f2136,plain,
( n4 != sum(sum(n4,succ(sk0_0)),n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f20,f2135]) ).
fof(f2137,plain,
( n4 != sum(sum(n4,succ(n5)),n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f221,f2136]) ).
fof(f2138,plain,
( n4 != sum(sum(n4,n6),n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f9,f2137]) ).
fof(f2139,plain,
( n4 != sum(n10,n5)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f76,f2138]) ).
fof(f2140,plain,
( $false
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f2139,f141]) ).
fof(f2141,plain,
( ~ spl0_5
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f2140]) ).
fof(f2151,plain,
( sum(sum(pred(n5),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f221,f1058]) ).
fof(f2152,plain,
( sum(sum(n4,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f20,f2151]) ).
fof(f2153,plain,
( sum(n7,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f73,f2152]) ).
fof(f2154,plain,
( sum(n7,sum(n1,succ(n5))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f221,f2153]) ).
fof(f2155,plain,
( sum(n7,sum(n1,n6)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f9,f2154]) ).
fof(f2156,plain,
( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f43,f2155]) ).
fof(f2157,plain,
( n3 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f110,f2156]) ).
fof(f2158,plain,
( n3 != sum(sum(pred(n5),succ(sk0_0)),n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f221,f2157]) ).
fof(f2159,plain,
( n3 != sum(sum(n4,succ(sk0_0)),n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f20,f2158]) ).
fof(f2160,plain,
( n3 != sum(sum(n4,succ(n5)),n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f221,f2159]) ).
fof(f2161,plain,
( n3 != sum(sum(n4,n6),n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f9,f2160]) ).
fof(f2162,plain,
( n3 != sum(n10,n4)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f76,f2161]) ).
fof(f2163,plain,
( $false
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f2162,f140]) ).
fof(f2164,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f2163]) ).
fof(f2165,plain,
( sum(sum(pred(n5),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f221,f1017]) ).
fof(f2166,plain,
( sum(sum(n4,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f20,f2165]) ).
fof(f2167,plain,
( sum(n8,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f74,f2166]) ).
fof(f2168,plain,
( sum(n8,sum(n2,succ(n5))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f221,f2167]) ).
fof(f2169,plain,
( sum(n8,sum(n2,n6)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f9,f2168]) ).
fof(f2170,plain,
( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f54,f2169]) ).
fof(f2171,plain,
( n5 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f122,f2170]) ).
fof(f2172,plain,
( n5 != sum(sum(pred(n5),succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f221,f2171]) ).
fof(f2173,plain,
( n5 != sum(sum(n4,succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f20,f2172]) ).
fof(f2174,plain,
( n5 != sum(sum(n4,succ(n5)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f221,f2173]) ).
fof(f2175,plain,
( n5 != sum(sum(n4,n6),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f9,f2174]) ).
fof(f2176,plain,
( n5 != sum(n10,n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f76,f2175]) ).
fof(f2177,plain,
( $false
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f2176,f142]) ).
fof(f2178,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f2177]) ).
fof(f2179,plain,
( sum(sum(pred(n5),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f221,f1430]) ).
fof(f2180,plain,
( sum(sum(n4,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f20,f2179]) ).
fof(f2181,plain,
( sum(n3,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f80,f2180]) ).
fof(f2182,plain,
( sum(n3,sum(n8,succ(n5))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f221,f2181]) ).
fof(f2183,plain,
( sum(n3,sum(n8,n6)) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f9,f2182]) ).
fof(f2184,plain,
( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f120,f2183]) ).
fof(f2185,plain,
( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f62,f2184]) ).
fof(f2186,plain,
( n6 != sum(sum(pred(n5),succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f221,f2185]) ).
fof(f2187,plain,
( n6 != sum(sum(n4,succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f20,f2186]) ).
fof(f2188,plain,
( n6 != sum(sum(n4,succ(n5)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f221,f2187]) ).
fof(f2189,plain,
( n6 != sum(sum(n4,n6),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f9,f2188]) ).
fof(f2190,plain,
( n6 != sum(n10,n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f76,f2189]) ).
fof(f2191,plain,
( $false
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f2190,f143]) ).
fof(f2192,plain,
( ~ spl0_5
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f2191]) ).
fof(f2193,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f255,f149]) ).
fof(f2194,plain,
( sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f255,f2193]) ).
fof(f2195,plain,
( sum(sum(pred(sk0_0),n6),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f9,f2194]) ).
fof(f2196,plain,
( sum(sum(pred(sk0_0),n6),sum(pred(n5),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f255,f2195]) ).
fof(f2197,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f20,f2196]) ).
fof(f2198,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n5),succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f255,f2197]) ).
fof(f2199,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,succ(n5)))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f20,f2198]) ).
fof(f2200,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n4,n6))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f9,f2199]) ).
fof(f2201,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f76,f2200]) ).
fof(f2221,plain,
( sum(sum(pred(n0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f206,f2052]) ).
fof(f2222,plain,
( sum(sum(n10,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f15,f2221]) ).
fof(f2223,plain,
( sum(n5,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f142,f2222]) ).
fof(f2224,plain,
( sum(n5,sum(n4,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f206,f2223]) ).
fof(f2225,plain,
( sum(n5,sum(n4,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f4,f2224]) ).
fof(f2226,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f71,f2225]) ).
fof(f2227,plain,
( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f86,f2226]) ).
fof(f2228,plain,
( n10 != sum(sum(pred(n0),succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f206,f2227]) ).
fof(f2229,plain,
( n10 != sum(sum(n10,succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f15,f2228]) ).
fof(f2230,plain,
( n10 != sum(sum(n10,succ(n0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f206,f2229]) ).
fof(f2231,plain,
( n10 != sum(sum(n10,n1),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f4,f2230]) ).
fof(f2232,plain,
( n10 != sum(n0,n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f137,f2231]) ).
fof(f2233,plain,
( $false
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f2232,f36]) ).
fof(f2234,plain,
( ~ spl0_0
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2233]) ).
fof(f2263,plain,
( sum(sum(pred(n8),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f230,f2095]) ).
fof(f2264,plain,
( sum(sum(n7,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f23,f2263]) ).
fof(f2265,plain,
( sum(n9,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f105,f2264]) ).
fof(f2266,plain,
( sum(n9,sum(n0,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f230,f2265]) ).
fof(f2267,plain,
( sum(n9,sum(n0,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f12,f2266]) ).
fof(f2268,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f35,f2267]) ).
fof(f2269,plain,
( n7 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f134,f2268]) ).
fof(f2270,plain,
( n7 != sum(sum(pred(n8),succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f230,f2269]) ).
fof(f2271,plain,
( n7 != sum(sum(n7,succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f23,f2270]) ).
fof(f2272,plain,
( n7 != sum(sum(n7,succ(n8)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f230,f2271]) ).
fof(f2273,plain,
( n7 != sum(sum(n7,n9),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f12,f2272]) ).
fof(f2274,plain,
( n7 != sum(n5,n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f112,f2273]) ).
fof(f2275,plain,
( $false
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2274,f83]) ).
fof(f2276,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f2275]) ).
fof(f2277,plain,
( sum(sum(n0,succ(n1)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f243,f433]) ).
fof(f2278,plain,
( sum(sum(n0,n2),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5,f2277]) ).
fof(f2279,plain,
( sum(n2,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f28,f2278]) ).
fof(f2280,plain,
( sum(n2,sum(pred(n1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f243,f2279]) ).
fof(f2281,plain,
( sum(n2,sum(n0,n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16,f2280]) ).
fof(f2282,plain,
( sum(n2,n2) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f28,f2281]) ).
fof(f2283,plain,
( n4 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f50,f2282]) ).
fof(f2284,plain,
( n4 != sum(n2,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f243,f2283]) ).
fof(f2285,plain,
( n4 != sum(n2,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16,f2284]) ).
fof(f2286,plain,
( n4 != sum(n2,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f243,f2285]) ).
fof(f2287,plain,
( n4 != sum(n2,sum(n0,n2))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5,f2286]) ).
fof(f2288,plain,
( n4 != sum(n2,n2)
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f28,f2287]) ).
fof(f2289,plain,
( $false
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2288,f50]) ).
fof(f2290,plain,
( ~ spl0_12
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2289]) ).
fof(f2291,plain,
( sum(sum(n1,succ(n1)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f243,f421]) ).
fof(f2292,plain,
( sum(sum(n1,n2),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f5,f2291]) ).
fof(f2293,plain,
( sum(n3,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f39,f2292]) ).
fof(f2294,plain,
( sum(n3,sum(pred(n1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f243,f2293]) ).
fof(f2295,plain,
( sum(n3,sum(n0,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f16,f2294]) ).
fof(f2296,plain,
( sum(n3,n3) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f29,f2295]) ).
fof(f2297,plain,
( n6 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f62,f2296]) ).
fof(f2298,plain,
( n6 != sum(n4,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f243,f2297]) ).
fof(f2299,plain,
( n6 != sum(n4,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f16,f2298]) ).
fof(f2300,plain,
( n6 != sum(n4,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f243,f2299]) ).
fof(f2301,plain,
( n6 != sum(n4,sum(n0,n2))
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f5,f2300]) ).
fof(f2302,plain,
( n6 != sum(n4,n2)
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f28,f2301]) ).
fof(f2303,plain,
( $false
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2302,f72]) ).
fof(f2304,plain,
( ~ spl0_12
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f2303]) ).
fof(f2305,plain,
( sum(sum(n2,succ(n1)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f243,f409]) ).
fof(f2306,plain,
( sum(sum(n2,n2),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f5,f2305]) ).
fof(f2307,plain,
( sum(n4,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f50,f2306]) ).
fof(f2308,plain,
( sum(n4,sum(pred(n1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f243,f2307]) ).
fof(f2309,plain,
( sum(n4,sum(n0,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f16,f2308]) ).
fof(f2310,plain,
( sum(n4,n4) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f30,f2309]) ).
fof(f2311,plain,
( n8 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f74,f2310]) ).
fof(f2312,plain,
( n8 != sum(n6,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f243,f2311]) ).
fof(f2313,plain,
( n8 != sum(n6,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f16,f2312]) ).
fof(f2314,plain,
( n8 != sum(n6,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f243,f2313]) ).
fof(f2315,plain,
( n8 != sum(n6,sum(n0,n2))
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f5,f2314]) ).
fof(f2316,plain,
( n8 != sum(n6,n2)
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f28,f2315]) ).
fof(f2317,plain,
( $false
| ~ spl0_12
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2316,f94]) ).
fof(f2318,plain,
( ~ spl0_12
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f2317]) ).
fof(f2319,plain,
( sum(sum(n3,succ(n1)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f243,f397]) ).
fof(f2320,plain,
( sum(sum(n3,n2),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f5,f2319]) ).
fof(f2321,plain,
( sum(n5,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f61,f2320]) ).
fof(f2322,plain,
( sum(n5,sum(pred(n1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f243,f2321]) ).
fof(f2323,plain,
( sum(n5,sum(n0,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f16,f2322]) ).
fof(f2324,plain,
( sum(n5,n5) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f31,f2323]) ).
fof(f2325,plain,
( n10 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f86,f2324]) ).
fof(f2326,plain,
( n10 != sum(n8,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f243,f2325]) ).
fof(f2327,plain,
( n10 != sum(n8,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f16,f2326]) ).
fof(f2328,plain,
( n10 != sum(n8,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f243,f2327]) ).
fof(f2329,plain,
( n10 != sum(n8,sum(n0,n2))
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f5,f2328]) ).
fof(f2330,plain,
( n10 != sum(n8,n2)
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f28,f2329]) ).
fof(f2331,plain,
( $false
| ~ spl0_12
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f2330,f116]) ).
fof(f2332,plain,
( ~ spl0_12
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f2331]) ).
fof(f2333,plain,
( sum(sum(n5,succ(n1)),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f243,f1132]) ).
fof(f2334,plain,
( sum(sum(n5,n2),sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f5,f2333]) ).
fof(f2335,plain,
( sum(n7,sum(pred(sk0_1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f83,f2334]) ).
fof(f2336,plain,
( sum(n7,sum(pred(n1),n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f243,f2335]) ).
fof(f2337,plain,
( sum(n7,sum(n0,n7)) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f16,f2336]) ).
fof(f2338,plain,
( sum(n7,n7) != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f33,f2337]) ).
fof(f2339,plain,
( n3 != sum(n1,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f110,f2338]) ).
fof(f2340,plain,
( n3 != sum(n1,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f243,f2339]) ).
fof(f2341,plain,
( n3 != sum(n1,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f16,f2340]) ).
fof(f2342,plain,
( n3 != sum(n1,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f243,f2341]) ).
fof(f2343,plain,
( n3 != sum(n1,sum(n0,n2))
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f5,f2342]) ).
fof(f2344,plain,
( n3 != sum(n1,n2)
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f28,f2343]) ).
fof(f2345,plain,
( $false
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f2344,f39]) ).
fof(f2346,plain,
( ~ spl0_12
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f2345]) ).
fof(f2347,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f240,f149]) ).
fof(f2348,plain,
( sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f240,f2347]) ).
fof(f2349,plain,
( sum(sum(pred(sk0_0),n1),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f4,f2348]) ).
fof(f2350,plain,
( sum(sum(pred(sk0_0),n1),sum(pred(n0),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f240,f2349]) ).
fof(f2351,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f15,f2350]) ).
fof(f2352,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n0),succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f240,f2351]) ).
fof(f2353,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n10,succ(n0)))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f15,f2352]) ).
fof(f2354,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n10,n1))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f4,f2353]) ).
fof(f2355,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f137,f2354]) ).
fof(f2376,plain,
( sum(sum(pred(n5),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f221,f1516]) ).
fof(f2377,plain,
( sum(sum(n4,n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f20,f2376]) ).
fof(f2378,plain,
( sum(n5,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f71,f2377]) ).
fof(f2379,plain,
( sum(n5,sum(n10,succ(n5))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f221,f2378]) ).
fof(f2380,plain,
( sum(n5,sum(n10,n6)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f9,f2379]) ).
fof(f2381,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f142,f2380]) ).
fof(f2382,plain,
( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f86,f2381]) ).
fof(f2383,plain,
( n10 != sum(sum(pred(n5),succ(sk0_0)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f221,f2382]) ).
fof(f2384,plain,
( n10 != sum(sum(n4,succ(sk0_0)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f20,f2383]) ).
fof(f2385,plain,
( n10 != sum(sum(n4,succ(n5)),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f221,f2384]) ).
fof(f2386,plain,
( n10 != sum(sum(n4,n6),n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f9,f2385]) ).
fof(f2387,plain,
( n10 != sum(n10,n0)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f76,f2386]) ).
fof(f2388,plain,
( $false
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f2387,f136]) ).
fof(f2389,plain,
( ~ spl0_5
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f2388]) ).
fof(f2390,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f264,f149]) ).
fof(f2391,plain,
( sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f264,f2390]) ).
fof(f2392,plain,
( sum(sum(pred(sk0_0),n9),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f12,f2391]) ).
fof(f2393,plain,
( sum(sum(pred(sk0_0),n9),sum(pred(n8),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f264,f2392]) ).
fof(f2394,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f23,f2393]) ).
fof(f2395,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n8),succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f264,f2394]) ).
fof(f2396,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n7,succ(n8)))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f23,f2395]) ).
fof(f2397,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n7,n9))
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f12,f2396]) ).
fof(f2398,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f112,f2397]) ).
fof(f2419,plain,
( sum(sum(pred(n6),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f224,f1312]) ).
fof(f2420,plain,
( sum(sum(n5,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f21,f2419]) ).
fof(f2421,plain,
( sum(n3,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f90,f2420]) ).
fof(f2422,plain,
( sum(n3,sum(n7,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f224,f2421]) ).
fof(f2423,plain,
( sum(n3,sum(n7,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f10,f2422]) ).
fof(f2424,plain,
( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f110,f2423]) ).
fof(f2425,plain,
( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f62,f2424]) ).
fof(f2426,plain,
( n6 != sum(sum(pred(n6),succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f224,f2425]) ).
fof(f2427,plain,
( n6 != sum(sum(n5,succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f21,f2426]) ).
fof(f2428,plain,
( n6 != sum(sum(n5,succ(n6)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f224,f2427]) ).
fof(f2429,plain,
( n6 != sum(sum(n5,n7),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f10,f2428]) ).
fof(f2430,plain,
( n6 != sum(n1,n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f88,f2429]) ).
fof(f2431,plain,
( $false
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f2430,f42]) ).
fof(f2432,plain,
( ~ spl0_6
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f2431]) ).
fof(f2442,plain,
( sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f261,f149]) ).
fof(f2443,plain,
( sum(sum(pred(sk0_0),n8),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f11,f2442]) ).
fof(f2444,plain,
( sum(sum(pred(sk0_0),n8),sum(pred(n7),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f261,f2443]) ).
fof(f2445,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f22,f2444]) ).
fof(f2446,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n7),succ(sk0_1)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f261,f2445]) ).
fof(f2447,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n6,succ(sk0_1)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f22,f2446]) ).
fof(f2448,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n6,succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f261,f2447]) ).
fof(f2449,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n6,n8))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f11,f2448]) ).
fof(f2450,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f100,f2449]) ).
fof(f2452,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f221,f2450]) ).
fof(f2453,plain,
( sum(sum(pred(n5),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f221,f2452]) ).
fof(f2454,plain,
( sum(sum(n4,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f20,f2453]) ).
fof(f2455,plain,
( sum(n1,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f78,f2454]) ).
fof(f2456,plain,
( sum(n1,sum(n6,succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f221,f2455]) ).
fof(f2457,plain,
( sum(n1,sum(n6,n6)) != sum(sum(pred(sk0_0),succ(n5)),n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f9,f2456]) ).
fof(f2458,plain,
( sum(n1,n1) != sum(sum(pred(sk0_0),succ(n5)),n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f98,f2457]) ).
fof(f2459,plain,
( n2 != sum(sum(pred(sk0_0),succ(n5)),n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f38,f2458]) ).
fof(f2460,plain,
( n2 != sum(sum(pred(n5),succ(n5)),n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f221,f2459]) ).
fof(f2461,plain,
( n2 != sum(sum(n4,succ(n5)),n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f20,f2460]) ).
fof(f2462,plain,
( n2 != sum(sum(n4,n6),n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f9,f2461]) ).
fof(f2463,plain,
( n2 != sum(n10,n3)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f76,f2462]) ).
fof(f2464,plain,
( $false
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f2463,f139]) ).
fof(f2465,plain,
( ~ spl0_5
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2464]) ).
fof(f2475,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f221,f1771]) ).
fof(f2476,plain,
( sum(sum(n4,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f20,f2475]) ).
fof(f2477,plain,
( sum(n10,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f76,f2476]) ).
fof(f2478,plain,
( sum(n10,sum(n4,succ(n5))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f221,f2477]) ).
fof(f2479,plain,
( sum(n10,sum(n4,n6)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f9,f2478]) ).
fof(f2480,plain,
( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f76,f2479]) ).
fof(f2481,plain,
( n9 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f146,f2480]) ).
fof(f2482,plain,
( n9 != sum(sum(pred(n5),succ(sk0_0)),n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f221,f2481]) ).
fof(f2483,plain,
( n9 != sum(sum(n4,succ(sk0_0)),n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f20,f2482]) ).
fof(f2484,plain,
( n9 != sum(sum(n4,succ(n5)),n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f221,f2483]) ).
fof(f2485,plain,
( n9 != sum(sum(n4,n6),n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f9,f2484]) ).
fof(f2486,plain,
( n9 != sum(n10,n10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f76,f2485]) ).
fof(f2487,plain,
( $false
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f2486,f146]) ).
fof(f2488,plain,
( ~ spl0_5
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2487]) ).
fof(f2489,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f230,f149]) ).
fof(f2490,plain,
( sum(sum(pred(n8),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f230,f2489]) ).
fof(f2491,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f23,f2490]) ).
fof(f2492,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),succ(n8))) != sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f230,f2491]) ).
fof(f2493,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(pred(sk0_0),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f12,f2492]) ).
fof(f2494,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(pred(n8),succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f230,f2493]) ).
fof(f2495,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(n7,succ(n8)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f23,f2494]) ).
fof(f2496,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(sum(n7,n9),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f12,f2495]) ).
fof(f2497,plain,
( sum(sum(n7,succ(sk0_1)),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f112,f2496]) ).
fof(f2518,plain,
( sum(sum(n7,succ(n2)),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f246,f349]) ).
fof(f2519,plain,
( sum(sum(n7,n3),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f6,f2518]) ).
fof(f2520,plain,
( sum(n10,sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f106,f2519]) ).
fof(f2521,plain,
( sum(n10,sum(pred(n2),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f246,f2520]) ).
fof(f2522,plain,
( sum(n10,sum(n1,n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f17,f2521]) ).
fof(f2523,plain,
( sum(n10,n10) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f46,f2522]) ).
fof(f2524,plain,
( n9 != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f146,f2523]) ).
fof(f2525,plain,
( n9 != sum(n5,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f246,f2524]) ).
fof(f2526,plain,
( n9 != sum(n5,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f17,f2525]) ).
fof(f2527,plain,
( n9 != sum(n5,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f246,f2526]) ).
fof(f2528,plain,
( n9 != sum(n5,sum(n1,n3))
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f6,f2527]) ).
fof(f2529,plain,
( n9 != sum(n5,n4)
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f40,f2528]) ).
fof(f2530,plain,
( $false
| ~ spl0_13
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2529,f85]) ).
fof(f2531,plain,
( ~ spl0_13
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2530]) ).
fof(f2532,plain,
( sum(sum(pred(n8),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f230,f1549]) ).
fof(f2533,plain,
( sum(sum(n7,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f23,f2532]) ).
fof(f2534,plain,
( sum(n0,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f107,f2533]) ).
fof(f2535,plain,
( sum(n0,sum(n2,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f230,f2534]) ).
fof(f2536,plain,
( sum(n0,sum(n2,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f12,f2535]) ).
fof(f2537,plain,
( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f57,f2536]) ).
fof(f2538,plain,
( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f26,f2537]) ).
fof(f2539,plain,
( n0 != sum(sum(pred(n8),succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f230,f2538]) ).
fof(f2540,plain,
( n0 != sum(sum(n7,succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f23,f2539]) ).
fof(f2541,plain,
( n0 != sum(sum(n7,succ(n8)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f230,f2540]) ).
fof(f2542,plain,
( n0 != sum(sum(n7,n9),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f12,f2541]) ).
fof(f2543,plain,
( n0 != sum(n5,n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f112,f2542]) ).
fof(f2544,plain,
( $false
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f2543,f87]) ).
fof(f2545,plain,
( ~ spl0_8
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f2544]) ).
fof(f2546,plain,
( sum(sum(pred(n8),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f230,f1430]) ).
fof(f2547,plain,
( sum(sum(n7,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f23,f2546]) ).
fof(f2548,plain,
( sum(n6,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f113,f2547]) ).
fof(f2549,plain,
( sum(n6,sum(n8,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f230,f2548]) ).
fof(f2550,plain,
( sum(n6,sum(n8,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f12,f2549]) ).
fof(f2551,plain,
( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f123,f2550]) ).
fof(f2552,plain,
( n1 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f98,f2551]) ).
fof(f2553,plain,
( n1 != sum(sum(pred(n8),succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f230,f2552]) ).
fof(f2554,plain,
( n1 != sum(sum(n7,succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f23,f2553]) ).
fof(f2555,plain,
( n1 != sum(sum(n7,succ(n8)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f230,f2554]) ).
fof(f2556,plain,
( n1 != sum(sum(n7,n9),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f12,f2555]) ).
fof(f2557,plain,
( n1 != sum(n5,n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f112,f2556]) ).
fof(f2558,plain,
( $false
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f2557,f88]) ).
fof(f2559,plain,
( ~ spl0_8
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f2558]) ).
fof(f2560,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f206,f149]) ).
fof(f2561,plain,
( sum(sum(pred(n0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f206,f2560]) ).
fof(f2562,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f15,f2561]) ).
fof(f2563,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),succ(n0))) != sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f206,f2562]) ).
fof(f2564,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(pred(sk0_0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f4,f2563]) ).
fof(f2565,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(pred(n0),succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f206,f2564]) ).
fof(f2566,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(n10,succ(n0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f15,f2565]) ).
fof(f2567,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(sum(n10,n1),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f4,f2566]) ).
fof(f2568,plain,
( sum(sum(n10,succ(sk0_1)),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f137,f2567]) ).
fof(f2589,plain,
( sum(sum(n10,succ(n1)),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f243,f445]) ).
fof(f2590,plain,
( sum(sum(n10,n2),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f5,f2589]) ).
fof(f2591,plain,
( sum(n1,sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f138,f2590]) ).
fof(f2592,plain,
( sum(n1,sum(pred(n1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f243,f2591]) ).
fof(f2593,plain,
( sum(n1,sum(n0,n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f16,f2592]) ).
fof(f2594,plain,
( sum(n1,n1) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f27,f2593]) ).
fof(f2595,plain,
( n2 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f38,f2594]) ).
fof(f2596,plain,
( n2 != sum(n0,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f243,f2595]) ).
fof(f2597,plain,
( n2 != sum(n0,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f16,f2596]) ).
fof(f2598,plain,
( n2 != sum(n0,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f243,f2597]) ).
fof(f2599,plain,
( n2 != sum(n0,sum(n0,n2))
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f5,f2598]) ).
fof(f2600,plain,
( n2 != sum(n0,n2)
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f28,f2599]) ).
fof(f2601,plain,
( $false
| ~ spl0_12
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2600,f28]) ).
fof(f2602,plain,
( ~ spl0_12
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f2601]) ).
fof(f2621,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f215,f2355]) ).
fof(f2622,plain,
( sum(sum(pred(n3),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f215,f2621]) ).
fof(f2623,plain,
( sum(sum(n2,n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f18,f2622]) ).
fof(f2624,plain,
( sum(n3,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f49,f2623]) ).
fof(f2625,plain,
( sum(n3,sum(n10,succ(n3))) != sum(sum(pred(sk0_0),succ(n3)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f215,f2624]) ).
fof(f2626,plain,
( sum(n3,sum(n10,n4)) != sum(sum(pred(sk0_0),succ(n3)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f7,f2625]) ).
fof(f2627,plain,
( sum(n3,n3) != sum(sum(pred(sk0_0),succ(n3)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f140,f2626]) ).
fof(f2628,plain,
( n6 != sum(sum(pred(sk0_0),succ(n3)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f62,f2627]) ).
fof(f2629,plain,
( n6 != sum(sum(pred(n3),succ(n3)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f215,f2628]) ).
fof(f2630,plain,
( n6 != sum(sum(n2,succ(n3)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f18,f2629]) ).
fof(f2631,plain,
( n6 != sum(sum(n2,n4),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f7,f2630]) ).
fof(f2632,plain,
( n6 != sum(n6,n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f52,f2631]) ).
fof(f2633,plain,
( $false
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f2632,f92]) ).
fof(f2634,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f2633]) ).
fof(f2635,plain,
( sum(sum(n1,succ(n0)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f240,f421]) ).
fof(f2636,plain,
( sum(sum(n1,n1),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f4,f2635]) ).
fof(f2637,plain,
( sum(n2,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f38,f2636]) ).
fof(f2638,plain,
( sum(n2,sum(pred(n0),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f240,f2637]) ).
fof(f2639,plain,
( sum(n2,sum(n10,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f15,f2638]) ).
fof(f2640,plain,
( sum(n2,n2) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f139,f2639]) ).
fof(f2641,plain,
( n4 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f50,f2640]) ).
fof(f2642,plain,
( n4 != sum(n4,sum(pred(n0),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f240,f2641]) ).
fof(f2643,plain,
( n4 != sum(n4,sum(n10,succ(sk0_1)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f15,f2642]) ).
fof(f2644,plain,
( n4 != sum(n4,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f240,f2643]) ).
fof(f2645,plain,
( n4 != sum(n4,sum(n10,n1))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f4,f2644]) ).
fof(f2646,plain,
( n4 != sum(n4,n0)
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f137,f2645]) ).
fof(f2647,plain,
( $false
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2646,f70]) ).
fof(f2648,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f2647]) ).
fof(f2649,plain,
( sum(sum(n7,succ(n0)),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f240,f2497]) ).
fof(f2650,plain,
( sum(sum(n7,n1),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f4,f2649]) ).
fof(f2651,plain,
( sum(n8,sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f104,f2650]) ).
fof(f2652,plain,
( sum(n8,sum(pred(n0),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f240,f2651]) ).
fof(f2653,plain,
( sum(n8,sum(n10,n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f15,f2652]) ).
fof(f2654,plain,
( sum(n8,n8) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f145,f2653]) ).
fof(f2655,plain,
( n5 != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f122,f2654]) ).
fof(f2656,plain,
( n5 != sum(n5,sum(pred(n0),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f240,f2655]) ).
fof(f2657,plain,
( n5 != sum(n5,sum(n10,succ(sk0_1)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f15,f2656]) ).
fof(f2658,plain,
( n5 != sum(n5,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f240,f2657]) ).
fof(f2659,plain,
( n5 != sum(n5,sum(n10,n1))
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f4,f2658]) ).
fof(f2660,plain,
( n5 != sum(n5,n0)
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f137,f2659]) ).
fof(f2661,plain,
( $false
| ~ spl0_11
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2660,f81]) ).
fof(f2662,plain,
( ~ spl0_11
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2661]) ).
fof(f2692,plain,
( sum(sum(n7,succ(n8)),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f264,f349]) ).
fof(f2693,plain,
( sum(sum(n7,n9),sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f12,f2692]) ).
fof(f2694,plain,
( sum(n5,sum(pred(sk0_1),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f112,f2693]) ).
fof(f2695,plain,
( sum(n5,sum(pred(n8),n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f264,f2694]) ).
fof(f2696,plain,
( sum(n5,sum(n7,n9)) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f23,f2695]) ).
fof(f2697,plain,
( sum(n5,n5) != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f112,f2696]) ).
fof(f2698,plain,
( n10 != sum(n5,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f86,f2697]) ).
fof(f2699,plain,
( n10 != sum(n5,sum(pred(n8),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f264,f2698]) ).
fof(f2700,plain,
( n10 != sum(n5,sum(n7,succ(sk0_1)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f23,f2699]) ).
fof(f2701,plain,
( n10 != sum(n5,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f264,f2700]) ).
fof(f2702,plain,
( n10 != sum(n5,sum(n7,n9))
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f12,f2701]) ).
fof(f2703,plain,
( n10 != sum(n5,n5)
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f112,f2702]) ).
fof(f2704,plain,
( $false
| ~ spl0_19
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2703,f86]) ).
fof(f2705,plain,
( ~ spl0_19
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2704]) ).
fof(f2706,plain,
( sum(sum(pred(n8),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f230,f2450]) ).
fof(f2707,plain,
( sum(sum(n7,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f23,f2706]) ).
fof(f2708,plain,
( sum(n4,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f111,f2707]) ).
fof(f2709,plain,
( sum(n4,sum(n6,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f230,f2708]) ).
fof(f2710,plain,
( sum(n4,sum(n6,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f12,f2709]) ).
fof(f2711,plain,
( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f101,f2710]) ).
fof(f2712,plain,
( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f74,f2711]) ).
fof(f2713,plain,
( n8 != sum(sum(pred(n8),succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f230,f2712]) ).
fof(f2714,plain,
( n8 != sum(sum(n7,succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f23,f2713]) ).
fof(f2715,plain,
( n8 != sum(sum(n7,succ(n8)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f230,f2714]) ).
fof(f2716,plain,
( n8 != sum(sum(n7,n9),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f12,f2715]) ).
fof(f2717,plain,
( n8 != sum(n5,n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f112,f2716]) ).
fof(f2718,plain,
( $false
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f2717,f84]) ).
fof(f2719,plain,
( ~ spl0_8
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2718]) ).
fof(f2748,plain,
( sum(sum(pred(n6),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f224,f2201]) ).
fof(f2749,plain,
( sum(sum(n5,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f21,f2748]) ).
fof(f2750,plain,
( sum(n0,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f87,f2749]) ).
fof(f2751,plain,
( sum(n0,sum(n4,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f224,f2750]) ).
fof(f2752,plain,
( sum(n0,sum(n4,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f10,f2751]) ).
fof(f2753,plain,
( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f77,f2752]) ).
fof(f2754,plain,
( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f26,f2753]) ).
fof(f2755,plain,
( n0 != sum(sum(pred(n6),succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f224,f2754]) ).
fof(f2756,plain,
( n0 != sum(sum(n5,succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f21,f2755]) ).
fof(f2757,plain,
( n0 != sum(sum(n5,succ(n6)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f224,f2756]) ).
fof(f2758,plain,
( n0 != sum(sum(n5,n7),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f10,f2757]) ).
fof(f2759,plain,
( n0 != sum(n1,n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f88,f2758]) ).
fof(f2760,plain,
( $false
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f2759,f47]) ).
fof(f2761,plain,
( ~ spl0_6
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2760]) ).
fof(f2789,plain,
( sum(sum(n10,succ(n2)),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f246,f2568]) ).
fof(f2790,plain,
( sum(sum(n10,n3),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f6,f2789]) ).
fof(f2791,plain,
( sum(n2,sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f139,f2790]) ).
fof(f2792,plain,
( sum(n2,sum(pred(n2),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f246,f2791]) ).
fof(f2793,plain,
( sum(n2,sum(n1,n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f17,f2792]) ).
fof(f2794,plain,
( sum(n2,n2) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f38,f2793]) ).
fof(f2795,plain,
( n4 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f50,f2794]) ).
fof(f2796,plain,
( n4 != sum(n0,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f246,f2795]) ).
fof(f2797,plain,
( n4 != sum(n0,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f17,f2796]) ).
fof(f2798,plain,
( n4 != sum(n0,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f246,f2797]) ).
fof(f2799,plain,
( n4 != sum(n0,sum(n1,n3))
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f6,f2798]) ).
fof(f2800,plain,
( n4 != sum(n0,n4)
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f40,f2799]) ).
fof(f2801,plain,
( $false
| ~ spl0_13
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2800,f30]) ).
fof(f2802,plain,
( ~ spl0_13
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f2801]) ).
fof(f2803,plain,
( sum(sum(pred(n0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f206,f1017]) ).
fof(f2804,plain,
( sum(sum(n10,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f15,f2803]) ).
fof(f2805,plain,
( sum(n3,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f140,f2804]) ).
fof(f2806,plain,
( sum(n3,sum(n2,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f206,f2805]) ).
fof(f2807,plain,
( sum(n3,sum(n2,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f4,f2806]) ).
fof(f2808,plain,
( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f49,f2807]) ).
fof(f2809,plain,
( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f62,f2808]) ).
fof(f2810,plain,
( n6 != sum(sum(pred(n0),succ(sk0_0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f206,f2809]) ).
fof(f2811,plain,
( n6 != sum(sum(n10,succ(sk0_0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f15,f2810]) ).
fof(f2812,plain,
( n6 != sum(sum(n10,succ(n0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f206,f2811]) ).
fof(f2813,plain,
( n6 != sum(sum(n10,n1),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f4,f2812]) ).
fof(f2814,plain,
( n6 != sum(n0,n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f137,f2813]) ).
fof(f2815,plain,
( $false
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f2814,f32]) ).
fof(f2816,plain,
( ~ spl0_0
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f2815]) ).
fof(f2817,plain,
( sum(sum(pred(n0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f206,f1430]) ).
fof(f2818,plain,
( sum(sum(n10,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f15,f2817]) ).
fof(f2819,plain,
( sum(n9,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f146,f2818]) ).
fof(f2820,plain,
( sum(n9,sum(n8,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f206,f2819]) ).
fof(f2821,plain,
( sum(n9,sum(n8,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f4,f2820]) ).
fof(f2822,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f115,f2821]) ).
fof(f2823,plain,
( n7 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f134,f2822]) ).
fof(f2824,plain,
( n7 != sum(sum(pred(n0),succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f206,f2823]) ).
fof(f2825,plain,
( n7 != sum(sum(n10,succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f15,f2824]) ).
fof(f2826,plain,
( n7 != sum(sum(n10,succ(n0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f206,f2825]) ).
fof(f2827,plain,
( n7 != sum(sum(n10,n1),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f4,f2826]) ).
fof(f2828,plain,
( n7 != sum(n0,n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f137,f2827]) ).
fof(f2829,plain,
( $false
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f2828,f33]) ).
fof(f2830,plain,
( ~ spl0_0
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f2829]) ).
fof(f2831,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f218,f149]) ).
fof(f2832,plain,
( sum(sum(pred(n4),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f218,f2831]) ).
fof(f2833,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f2832]) ).
fof(f2834,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),succ(n4))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f218,f2833]) ).
fof(f2835,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f2834]) ).
fof(f2836,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f218,f2835]) ).
fof(f2837,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(n3,succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f2836]) ).
fof(f2838,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(n3,n5),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f2837]) ).
fof(f2839,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f64,f2838]) ).
fof(f2859,plain,
( sum(sum(n3,succ(n0)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f240,f397]) ).
fof(f2860,plain,
( sum(sum(n3,n1),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f4,f2859]) ).
fof(f2861,plain,
( sum(n4,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f60,f2860]) ).
fof(f2862,plain,
( sum(n4,sum(pred(n0),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f240,f2861]) ).
fof(f2863,plain,
( sum(n4,sum(n10,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f15,f2862]) ).
fof(f2864,plain,
( sum(n4,n4) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f141,f2863]) ).
fof(f2865,plain,
( n8 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f74,f2864]) ).
fof(f2866,plain,
( n8 != sum(n8,sum(pred(n0),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f240,f2865]) ).
fof(f2867,plain,
( n8 != sum(n8,sum(n10,succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f15,f2866]) ).
fof(f2868,plain,
( n8 != sum(n8,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f240,f2867]) ).
fof(f2869,plain,
( n8 != sum(n8,sum(n10,n1))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f4,f2868]) ).
fof(f2870,plain,
( n8 != sum(n8,n0)
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f137,f2869]) ).
fof(f2871,plain,
( $false
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f2870,f114]) ).
fof(f2872,plain,
( ~ spl0_11
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f2871]) ).
fof(f2873,plain,
( sum(sum(n0,succ(n0)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f240,f433]) ).
fof(f2874,plain,
( sum(sum(n0,n1),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f4,f2873]) ).
fof(f2875,plain,
( sum(n1,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f27,f2874]) ).
fof(f2876,plain,
( sum(n1,sum(pred(n0),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f240,f2875]) ).
fof(f2877,plain,
( sum(n1,sum(n10,n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f15,f2876]) ).
fof(f2878,plain,
( sum(n1,n1) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f138,f2877]) ).
fof(f2879,plain,
( n2 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f38,f2878]) ).
fof(f2880,plain,
( n2 != sum(n2,sum(pred(n0),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f240,f2879]) ).
fof(f2881,plain,
( n2 != sum(n2,sum(n10,succ(sk0_1)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f15,f2880]) ).
fof(f2882,plain,
( n2 != sum(n2,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f240,f2881]) ).
fof(f2883,plain,
( n2 != sum(n2,sum(n10,n1))
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f4,f2882]) ).
fof(f2884,plain,
( n2 != sum(n2,n0)
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f137,f2883]) ).
fof(f2885,plain,
( $false
| ~ spl0_11
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2884,f48]) ).
fof(f2886,plain,
( ~ spl0_11
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2885]) ).
fof(f2896,plain,
( sum(sum(n10,succ(n0)),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f240,f445]) ).
fof(f2897,plain,
( sum(sum(n10,n1),sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f4,f2896]) ).
fof(f2898,plain,
( sum(n0,sum(pred(sk0_1),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f137,f2897]) ).
fof(f2899,plain,
( sum(n0,sum(pred(n0),n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f240,f2898]) ).
fof(f2900,plain,
( sum(n0,sum(n10,n1)) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f15,f2899]) ).
fof(f2901,plain,
( sum(n0,n0) != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f137,f2900]) ).
fof(f2902,plain,
( n0 != sum(n0,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f26,f2901]) ).
fof(f2903,plain,
( n0 != sum(n0,sum(pred(n0),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f240,f2902]) ).
fof(f2904,plain,
( n0 != sum(n0,sum(n10,succ(sk0_1)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f15,f2903]) ).
fof(f2905,plain,
( n0 != sum(n0,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f240,f2904]) ).
fof(f2906,plain,
( n0 != sum(n0,sum(n10,n1))
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f4,f2905]) ).
fof(f2907,plain,
( n0 != sum(n0,n0)
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f137,f2906]) ).
fof(f2908,plain,
( $false
| ~ spl0_11
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2907,f26]) ).
fof(f2909,plain,
( ~ spl0_11
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f2908]) ).
fof(f2929,plain,
( sum(sum(pred(n2),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f212,f2398]) ).
fof(f2930,plain,
( sum(sum(n1,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f17,f2929]) ).
fof(f2931,plain,
( sum(n10,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f46,f2930]) ).
fof(f2932,plain,
( sum(n10,sum(n7,succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f212,f2931]) ).
fof(f2933,plain,
( sum(n10,sum(n7,n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f6,f2932]) ).
fof(f2934,plain,
( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f106,f2933]) ).
fof(f2935,plain,
( n9 != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f146,f2934]) ).
fof(f2936,plain,
( n9 != sum(sum(pred(n2),succ(sk0_0)),n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f212,f2935]) ).
fof(f2937,plain,
( n9 != sum(sum(n1,succ(sk0_0)),n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f17,f2936]) ).
fof(f2938,plain,
( n9 != sum(sum(n1,succ(n2)),n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f212,f2937]) ).
fof(f2939,plain,
( n9 != sum(sum(n1,n3),n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f6,f2938]) ).
fof(f2940,plain,
( n9 != sum(n4,n5)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f40,f2939]) ).
fof(f2941,plain,
( $false
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f2940,f75]) ).
fof(f2942,plain,
( ~ spl0_2
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f2941]) ).
fof(f2943,plain,
( sum(sum(n2,succ(n8)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f264,f409]) ).
fof(f2944,plain,
( sum(sum(n2,n9),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f12,f2943]) ).
fof(f2945,plain,
( sum(n0,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f57,f2944]) ).
fof(f2946,plain,
( sum(n0,sum(pred(n8),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f264,f2945]) ).
fof(f2947,plain,
( sum(n0,sum(n7,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f23,f2946]) ).
fof(f2948,plain,
( sum(n0,n0) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f107,f2947]) ).
fof(f2949,plain,
( n0 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f26,f2948]) ).
fof(f2950,plain,
( n0 != sum(n6,sum(pred(n8),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f264,f2949]) ).
fof(f2951,plain,
( n0 != sum(n6,sum(n7,succ(sk0_1)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f23,f2950]) ).
fof(f2952,plain,
( n0 != sum(n6,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f264,f2951]) ).
fof(f2953,plain,
( n0 != sum(n6,sum(n7,n9))
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f12,f2952]) ).
fof(f2954,plain,
( n0 != sum(n6,n5)
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f112,f2953]) ).
fof(f2955,plain,
( $false
| ~ spl0_19
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2954,f97]) ).
fof(f2956,plain,
( ~ spl0_19
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f2955]) ).
fof(f2986,plain,
( sum(sum(pred(n8),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f230,f2052]) ).
fof(f2987,plain,
( sum(sum(n7,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f23,f2986]) ).
fof(f2988,plain,
( sum(n2,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f109,f2987]) ).
fof(f2989,plain,
( sum(n2,sum(n4,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f230,f2988]) ).
fof(f2990,plain,
( sum(n2,sum(n4,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f12,f2989]) ).
fof(f2991,plain,
( sum(n2,n2) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f79,f2990]) ).
fof(f2992,plain,
( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f50,f2991]) ).
fof(f2993,plain,
( n4 != sum(sum(pred(n8),succ(sk0_0)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f230,f2992]) ).
fof(f2994,plain,
( n4 != sum(sum(n7,succ(sk0_0)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f23,f2993]) ).
fof(f2995,plain,
( n4 != sum(sum(n7,succ(n8)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f230,f2994]) ).
fof(f2996,plain,
( n4 != sum(sum(n7,n9),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f12,f2995]) ).
fof(f2997,plain,
( n4 != sum(n5,n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f112,f2996]) ).
fof(f2998,plain,
( $false
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f2997,f91]) ).
fof(f2999,plain,
( ~ spl0_8
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2998]) ).
fof(f3000,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f261,f149]) ).
fof(f3001,plain,
( sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f261,f3000]) ).
fof(f3002,plain,
( sum(sum(pred(sk0_0),n8),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f11,f3001]) ).
fof(f3003,plain,
( sum(sum(pred(sk0_0),n8),sum(pred(n7),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f261,f3002]) ).
fof(f3004,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f22,f3003]) ).
fof(f3005,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n7),succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f261,f3004]) ).
fof(f3006,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n6,succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f22,f3005]) ).
fof(f3007,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n6,n8))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f11,f3006]) ).
fof(f3008,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f100,f3007]) ).
fof(f3029,plain,
( sum(sum(pred(n0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f206,f2450]) ).
fof(f3030,plain,
( sum(sum(n10,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f15,f3029]) ).
fof(f3031,plain,
( sum(n7,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f144,f3030]) ).
fof(f3032,plain,
( sum(n7,sum(n6,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f206,f3031]) ).
fof(f3033,plain,
( sum(n7,sum(n6,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f4,f3032]) ).
fof(f3034,plain,
( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f93,f3033]) ).
fof(f3035,plain,
( n3 != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f110,f3034]) ).
fof(f3036,plain,
( n3 != sum(sum(pred(n0),succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f206,f3035]) ).
fof(f3037,plain,
( n3 != sum(sum(n10,succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f15,f3036]) ).
fof(f3038,plain,
( n3 != sum(sum(n10,succ(n0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f206,f3037]) ).
fof(f3039,plain,
( n3 != sum(sum(n10,n1),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f4,f3038]) ).
fof(f3040,plain,
( n3 != sum(n0,n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f137,f3039]) ).
fof(f3041,plain,
( $false
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f3040,f29]) ).
fof(f3042,plain,
( ~ spl0_0
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f3041]) ).
fof(f3052,plain,
( sum(sum(pred(n0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f206,f1312]) ).
fof(f3053,plain,
( sum(sum(n10,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f15,f3052]) ).
fof(f3054,plain,
( sum(n8,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f145,f3053]) ).
fof(f3055,plain,
( sum(n8,sum(n7,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f206,f3054]) ).
fof(f3056,plain,
( sum(n8,sum(n7,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f4,f3055]) ).
fof(f3057,plain,
( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f104,f3056]) ).
fof(f3058,plain,
( n5 != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f122,f3057]) ).
fof(f3059,plain,
( n5 != sum(sum(pred(n0),succ(sk0_0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f206,f3058]) ).
fof(f3060,plain,
( n5 != sum(sum(n10,succ(sk0_0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f15,f3059]) ).
fof(f3061,plain,
( n5 != sum(sum(n10,succ(n0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f206,f3060]) ).
fof(f3062,plain,
( n5 != sum(sum(n10,n1),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f4,f3061]) ).
fof(f3063,plain,
( n5 != sum(n0,n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f137,f3062]) ).
fof(f3064,plain,
( $false
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f3063,f31]) ).
fof(f3065,plain,
( ~ spl0_0
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f3064]) ).
fof(f3066,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f149]) ).
fof(f3067,plain,
( sum(sum(pred(n1),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f209,f3066]) ).
fof(f3068,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16,f3067]) ).
fof(f3069,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),succ(n1))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f209,f3068]) ).
fof(f3070,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5,f3069]) ).
fof(f3071,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(pred(n1),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f209,f3070]) ).
fof(f3072,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(n0,succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16,f3071]) ).
fof(f3073,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(n0,n2),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5,f3072]) ).
fof(f3074,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f28,f3073]) ).
fof(f3095,plain,
( sum(sum(n0,succ(n2)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f246,f433]) ).
fof(f3096,plain,
( sum(sum(n0,n3),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f6,f3095]) ).
fof(f3097,plain,
( sum(n3,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f29,f3096]) ).
fof(f3098,plain,
( sum(n3,sum(pred(n2),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f246,f3097]) ).
fof(f3099,plain,
( sum(n3,sum(n1,n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f17,f3098]) ).
fof(f3100,plain,
( sum(n3,n3) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f39,f3099]) ).
fof(f3101,plain,
( n6 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f62,f3100]) ).
fof(f3102,plain,
( n6 != sum(n2,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f246,f3101]) ).
fof(f3103,plain,
( n6 != sum(n2,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f17,f3102]) ).
fof(f3104,plain,
( n6 != sum(n2,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f246,f3103]) ).
fof(f3105,plain,
( n6 != sum(n2,sum(n1,n3))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f6,f3104]) ).
fof(f3106,plain,
( n6 != sum(n2,n4)
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f40,f3105]) ).
fof(f3107,plain,
( $false
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3106,f52]) ).
fof(f3108,plain,
( ~ spl0_13
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f3107]) ).
fof(f3118,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f215,f149]) ).
fof(f3119,plain,
( sum(sum(pred(n3),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f215,f3118]) ).
fof(f3120,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f18,f3119]) ).
fof(f3121,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),succ(n3))) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f215,f3120]) ).
fof(f3122,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(sk0_0),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f7,f3121]) ).
fof(f3123,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f215,f3122]) ).
fof(f3124,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,succ(n3)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f18,f3123]) ).
fof(f3125,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(sum(n2,n4),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f7,f3124]) ).
fof(f3126,plain,
( sum(sum(n2,succ(sk0_1)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f52,f3125]) ).
fof(f3147,plain,
( sum(sum(n2,succ(n3)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f249,f409]) ).
fof(f3148,plain,
( sum(sum(n2,n4),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f7,f3147]) ).
fof(f3149,plain,
( sum(n6,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f52,f3148]) ).
fof(f3150,plain,
( sum(n6,sum(pred(n3),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f249,f3149]) ).
fof(f3151,plain,
( sum(n6,sum(n2,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f18,f3150]) ).
fof(f3152,plain,
( sum(n6,n6) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f52,f3151]) ).
fof(f3153,plain,
( n1 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f98,f3152]) ).
fof(f3154,plain,
( n1 != sum(n6,sum(pred(n3),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f249,f3153]) ).
fof(f3155,plain,
( n1 != sum(n6,sum(n2,succ(sk0_1)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f18,f3154]) ).
fof(f3156,plain,
( n1 != sum(n6,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f249,f3155]) ).
fof(f3157,plain,
( n1 != sum(n6,sum(n2,n4))
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f7,f3156]) ).
fof(f3158,plain,
( n1 != sum(n6,n6)
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f52,f3157]) ).
fof(f3159,plain,
( $false
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f3158,f98]) ).
fof(f3160,plain,
( ~ spl0_14
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f3159]) ).
fof(f3161,plain,
( sum(sum(pred(n3),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f215,f1430]) ).
fof(f3162,plain,
( sum(sum(n2,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f18,f3161]) ).
fof(f3163,plain,
( sum(n1,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f58,f3162]) ).
fof(f3164,plain,
( sum(n1,sum(n8,succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f215,f3163]) ).
fof(f3165,plain,
( sum(n1,sum(n8,n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f7,f3164]) ).
fof(f3166,plain,
( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f118,f3165]) ).
fof(f3167,plain,
( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f38,f3166]) ).
fof(f3168,plain,
( n2 != sum(sum(pred(n3),succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f215,f3167]) ).
fof(f3169,plain,
( n2 != sum(sum(n2,succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f18,f3168]) ).
fof(f3170,plain,
( n2 != sum(sum(n2,succ(n3)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f215,f3169]) ).
fof(f3171,plain,
( n2 != sum(sum(n2,n4),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f7,f3170]) ).
fof(f3172,plain,
( n2 != sum(n6,n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f52,f3171]) ).
fof(f3173,plain,
( $false
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f3172,f99]) ).
fof(f3174,plain,
( ~ spl0_3
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f3173]) ).
fof(f3204,plain,
( sum(sum(pred(n2),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f212,f1771]) ).
fof(f3205,plain,
( sum(sum(n1,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f17,f3204]) ).
fof(f3206,plain,
( sum(n7,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f43,f3205]) ).
fof(f3207,plain,
( sum(n7,sum(n4,succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f212,f3206]) ).
fof(f3208,plain,
( sum(n7,sum(n4,n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f6,f3207]) ).
fof(f3209,plain,
( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f73,f3208]) ).
fof(f3210,plain,
( n3 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f110,f3209]) ).
fof(f3211,plain,
( n3 != sum(sum(pred(n2),succ(sk0_0)),n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f212,f3210]) ).
fof(f3212,plain,
( n3 != sum(sum(n1,succ(sk0_0)),n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f17,f3211]) ).
fof(f3213,plain,
( n3 != sum(sum(n1,succ(n2)),n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f212,f3212]) ).
fof(f3214,plain,
( n3 != sum(sum(n1,n3),n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f6,f3213]) ).
fof(f3215,plain,
( n3 != sum(n4,n10)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f40,f3214]) ).
fof(f3216,plain,
( $false
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f3215,f80]) ).
fof(f3217,plain,
( ~ spl0_2
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f3216]) ).
fof(f3218,plain,
( sum(sum(n3,succ(n5)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f255,f2839]) ).
fof(f3219,plain,
( sum(sum(n3,n6),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f9,f3218]) ).
fof(f3220,plain,
( sum(n9,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f65,f3219]) ).
fof(f3221,plain,
( sum(n9,sum(pred(n5),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f255,f3220]) ).
fof(f3222,plain,
( sum(n9,sum(n4,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f20,f3221]) ).
fof(f3223,plain,
( sum(n9,n9) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f75,f3222]) ).
fof(f3224,plain,
( n7 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f134,f3223]) ).
fof(f3225,plain,
( n7 != sum(n8,sum(pred(n5),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f255,f3224]) ).
fof(f3226,plain,
( n7 != sum(n8,sum(n4,succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f20,f3225]) ).
fof(f3227,plain,
( n7 != sum(n8,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f255,f3226]) ).
fof(f3228,plain,
( n7 != sum(n8,sum(n4,n6))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f9,f3227]) ).
fof(f3229,plain,
( n7 != sum(n8,n10)
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f76,f3228]) ).
fof(f3230,plain,
( $false
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f3229,f124]) ).
fof(f3231,plain,
( ~ spl0_16
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f3230]) ).
fof(f3232,plain,
( sum(sum(n2,succ(n5)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f255,f3126]) ).
fof(f3233,plain,
( sum(sum(n2,n6),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f9,f3232]) ).
fof(f3234,plain,
( sum(n8,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f54,f3233]) ).
fof(f3235,plain,
( sum(n8,sum(pred(n5),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f255,f3234]) ).
fof(f3236,plain,
( sum(n8,sum(n4,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f20,f3235]) ).
fof(f3237,plain,
( sum(n8,n8) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f74,f3236]) ).
fof(f3238,plain,
( n5 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f122,f3237]) ).
fof(f3239,plain,
( n5 != sum(n6,sum(pred(n5),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f255,f3238]) ).
fof(f3240,plain,
( n5 != sum(n6,sum(n4,succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f20,f3239]) ).
fof(f3241,plain,
( n5 != sum(n6,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f255,f3240]) ).
fof(f3242,plain,
( n5 != sum(n6,sum(n4,n6))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f9,f3241]) ).
fof(f3243,plain,
( n5 != sum(n6,n10)
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f76,f3242]) ).
fof(f3244,plain,
( $false
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f3243,f102]) ).
fof(f3245,plain,
( ~ spl0_16
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f3244]) ).
fof(f3275,plain,
( sum(sum(n2,succ(n7)),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f261,f409]) ).
fof(f3276,plain,
( sum(sum(n2,n8),sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f11,f3275]) ).
fof(f3277,plain,
( sum(n10,sum(pred(sk0_1),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f56,f3276]) ).
fof(f3278,plain,
( sum(n10,sum(pred(n7),n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f261,f3277]) ).
fof(f3279,plain,
( sum(n10,sum(n6,n4)) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f22,f3278]) ).
fof(f3280,plain,
( sum(n10,n10) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f96,f3279]) ).
fof(f3281,plain,
( n9 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f146,f3280]) ).
fof(f3282,plain,
( n9 != sum(n6,sum(pred(n7),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f261,f3281]) ).
fof(f3283,plain,
( n9 != sum(n6,sum(n6,succ(sk0_1)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f22,f3282]) ).
fof(f3284,plain,
( n9 != sum(n6,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f261,f3283]) ).
fof(f3285,plain,
( n9 != sum(n6,sum(n6,n8))
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f11,f3284]) ).
fof(f3286,plain,
( n9 != sum(n6,n3)
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f100,f3285]) ).
fof(f3287,plain,
( $false
| ~ spl0_18
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f3286,f95]) ).
fof(f3288,plain,
( ~ spl0_18
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f3287]) ).
fof(f3289,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f209,f149]) ).
fof(f3290,plain,
( sum(sum(pred(n1),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f209,f3289]) ).
fof(f3291,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16,f3290]) ).
fof(f3292,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),succ(n1))) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f209,f3291]) ).
fof(f3293,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(pred(sk0_0),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5,f3292]) ).
fof(f3294,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(pred(n1),succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f209,f3293]) ).
fof(f3295,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(n0,succ(n1)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16,f3294]) ).
fof(f3296,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(sum(n0,n2),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5,f3295]) ).
fof(f3297,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f28,f3296]) ).
fof(f3307,plain,
( sum(sum(n0,succ(sk0_1)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f264,f3074]) ).
fof(f3308,plain,
( sum(sum(n0,succ(n8)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f264,f3307]) ).
fof(f3309,plain,
( sum(sum(n0,n9),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f12,f3308]) ).
fof(f3310,plain,
( sum(n9,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f35,f3309]) ).
fof(f3311,plain,
( sum(n9,sum(pred(n8),n2)) != sum(n2,sum(pred(sk0_1),succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f264,f3310]) ).
fof(f3312,plain,
( sum(n9,sum(n7,n2)) != sum(n2,sum(pred(sk0_1),succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f23,f3311]) ).
fof(f3313,plain,
( sum(n9,n9) != sum(n2,sum(pred(sk0_1),succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f105,f3312]) ).
fof(f3314,plain,
( n7 != sum(n2,sum(pred(sk0_1),succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f134,f3313]) ).
fof(f3315,plain,
( n7 != sum(n2,sum(pred(n8),succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f264,f3314]) ).
fof(f3316,plain,
( n7 != sum(n2,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f23,f3315]) ).
fof(f3317,plain,
( n7 != sum(n2,sum(n7,n9))
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f12,f3316]) ).
fof(f3318,plain,
( n7 != sum(n2,n5)
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f112,f3317]) ).
fof(f3319,plain,
( $false
| ~ spl0_19
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3318,f53]) ).
fof(f3320,plain,
( ~ spl0_19
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f3319]) ).
fof(f3350,plain,
( sum(sum(pred(n3),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f215,f1058]) ).
fof(f3351,plain,
( sum(sum(n2,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f18,f3350]) ).
fof(f3352,plain,
( sum(n5,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f51,f3351]) ).
fof(f3353,plain,
( sum(n5,sum(n1,succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f215,f3352]) ).
fof(f3354,plain,
( sum(n5,sum(n1,n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f7,f3353]) ).
fof(f3355,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f41,f3354]) ).
fof(f3356,plain,
( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f86,f3355]) ).
fof(f3357,plain,
( n10 != sum(sum(pred(n3),succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f215,f3356]) ).
fof(f3358,plain,
( n10 != sum(sum(n2,succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f18,f3357]) ).
fof(f3359,plain,
( n10 != sum(sum(n2,succ(n3)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f215,f3358]) ).
fof(f3360,plain,
( n10 != sum(sum(n2,n4),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f7,f3359]) ).
fof(f3361,plain,
( n10 != sum(n6,n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f52,f3360]) ).
fof(f3362,plain,
( $false
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f3361,f96]) ).
fof(f3363,plain,
( ~ spl0_3
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f3362]) ).
fof(f3383,plain,
( sum(sum(n1,succ(n3)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f249,f421]) ).
fof(f3384,plain,
( sum(sum(n1,n4),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f7,f3383]) ).
fof(f3385,plain,
( sum(n5,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f41,f3384]) ).
fof(f3386,plain,
( sum(n5,sum(pred(n3),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f249,f3385]) ).
fof(f3387,plain,
( sum(n5,sum(n2,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f18,f3386]) ).
fof(f3388,plain,
( sum(n5,n5) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f51,f3387]) ).
fof(f3389,plain,
( n10 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f86,f3388]) ).
fof(f3390,plain,
( n10 != sum(n4,sum(pred(n3),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f249,f3389]) ).
fof(f3391,plain,
( n10 != sum(n4,sum(n2,succ(sk0_1)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f18,f3390]) ).
fof(f3392,plain,
( n10 != sum(n4,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f249,f3391]) ).
fof(f3393,plain,
( n10 != sum(n4,sum(n2,n4))
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f7,f3392]) ).
fof(f3394,plain,
( n10 != sum(n4,n6)
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f52,f3393]) ).
fof(f3395,plain,
( $false
| ~ spl0_14
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3394,f76]) ).
fof(f3396,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3395]) ).
fof(f3397,plain,
( sum(sum(pred(n2),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f212,f1430]) ).
fof(f3398,plain,
( sum(sum(n1,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f17,f3397]) ).
fof(f3399,plain,
( sum(n0,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f47,f3398]) ).
fof(f3400,plain,
( sum(n0,sum(n8,succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f212,f3399]) ).
fof(f3401,plain,
( sum(n0,sum(n8,n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f6,f3400]) ).
fof(f3402,plain,
( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f117,f3401]) ).
fof(f3403,plain,
( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f26,f3402]) ).
fof(f3404,plain,
( n0 != sum(sum(pred(n2),succ(sk0_0)),n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f212,f3403]) ).
fof(f3405,plain,
( n0 != sum(sum(n1,succ(sk0_0)),n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f17,f3404]) ).
fof(f3406,plain,
( n0 != sum(sum(n1,succ(n2)),n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f212,f3405]) ).
fof(f3407,plain,
( n0 != sum(sum(n1,n3),n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f6,f3406]) ).
fof(f3408,plain,
( n0 != sum(n4,n7)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f40,f3407]) ).
fof(f3409,plain,
( $false
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f3408,f77]) ).
fof(f3410,plain,
( ~ spl0_2
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f3409]) ).
fof(f3421,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f218,f149]) ).
fof(f3422,plain,
( sum(sum(pred(n4),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f218,f3421]) ).
fof(f3423,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f3422]) ).
fof(f3424,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),succ(n4))) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f218,f3423]) ).
fof(f3425,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(pred(sk0_0),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f3424]) ).
fof(f3426,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f218,f3425]) ).
fof(f3427,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(n3,succ(n4)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f19,f3426]) ).
fof(f3428,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(sum(n3,n5),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f8,f3427]) ).
fof(f3429,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f64,f3428]) ).
fof(f3450,plain,
( sum(sum(n3,succ(n8)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f264,f397]) ).
fof(f3451,plain,
( sum(sum(n3,n9),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f12,f3450]) ).
fof(f3452,plain,
( sum(n1,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f68,f3451]) ).
fof(f3453,plain,
( sum(n1,sum(pred(n8),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f264,f3452]) ).
fof(f3454,plain,
( sum(n1,sum(n7,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f23,f3453]) ).
fof(f3455,plain,
( sum(n1,n1) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f108,f3454]) ).
fof(f3456,plain,
( n2 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f38,f3455]) ).
fof(f3457,plain,
( n2 != sum(n8,sum(pred(n8),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f264,f3456]) ).
fof(f3458,plain,
( n2 != sum(n8,sum(n7,succ(sk0_1)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f23,f3457]) ).
fof(f3459,plain,
( n2 != sum(n8,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f264,f3458]) ).
fof(f3460,plain,
( n2 != sum(n8,sum(n7,n9))
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f12,f3459]) ).
fof(f3461,plain,
( n2 != sum(n8,n5)
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f112,f3460]) ).
fof(f3462,plain,
( $false
| ~ spl0_19
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f3461,f119]) ).
fof(f3463,plain,
( ~ spl0_19
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f3462]) ).
fof(f3464,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f261,f149]) ).
fof(f3465,plain,
( sum(sum(pred(sk0_0),succ(n7)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f261,f3464]) ).
fof(f3466,plain,
( sum(sum(pred(sk0_0),n8),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f11,f3465]) ).
fof(f3467,plain,
( sum(sum(pred(sk0_0),n8),sum(pred(n7),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f261,f3466]) ).
fof(f3468,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f22,f3467]) ).
fof(f3469,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n7),succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f261,f3468]) ).
fof(f3470,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n6,succ(n7)))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f22,f3469]) ).
fof(f3471,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n6,n8))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f11,f3470]) ).
fof(f3472,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f100,f3471]) ).
fof(f3493,plain,
( sum(sum(pred(n2),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f212,f3008]) ).
fof(f3494,plain,
( sum(sum(n1,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f17,f3493]) ).
fof(f3495,plain,
( sum(n9,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f45,f3494]) ).
fof(f3496,plain,
( sum(n9,sum(n6,succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f212,f3495]) ).
fof(f3497,plain,
( sum(n9,sum(n6,n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f6,f3496]) ).
fof(f3498,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f95,f3497]) ).
fof(f3499,plain,
( n7 != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f134,f3498]) ).
fof(f3500,plain,
( n7 != sum(sum(pred(n2),succ(sk0_0)),n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f212,f3499]) ).
fof(f3501,plain,
( n7 != sum(sum(n1,succ(sk0_0)),n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f17,f3500]) ).
fof(f3502,plain,
( n7 != sum(sum(n1,succ(n2)),n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f212,f3501]) ).
fof(f3503,plain,
( n7 != sum(sum(n1,n3),n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f6,f3502]) ).
fof(f3504,plain,
( n7 != sum(n4,n3)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f40,f3503]) ).
fof(f3505,plain,
( $false
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f3504,f73]) ).
fof(f3506,plain,
( ~ spl0_2
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f3505]) ).
fof(f3536,plain,
( sum(sum(n0,succ(n5)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f255,f3297]) ).
fof(f3537,plain,
( sum(sum(n0,n6),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f9,f3536]) ).
fof(f3538,plain,
( sum(n6,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f32,f3537]) ).
fof(f3539,plain,
( sum(n6,sum(pred(n5),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f255,f3538]) ).
fof(f3540,plain,
( sum(n6,sum(n4,n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f20,f3539]) ).
fof(f3541,plain,
( sum(n6,n6) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f72,f3540]) ).
fof(f3542,plain,
( n1 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f98,f3541]) ).
fof(f3543,plain,
( n1 != sum(n2,sum(pred(n5),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f255,f3542]) ).
fof(f3544,plain,
( n1 != sum(n2,sum(n4,succ(sk0_1)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f20,f3543]) ).
fof(f3545,plain,
( n1 != sum(n2,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f255,f3544]) ).
fof(f3546,plain,
( n1 != sum(n2,sum(n4,n6))
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f9,f3545]) ).
fof(f3547,plain,
( n1 != sum(n2,n10)
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f76,f3546]) ).
fof(f3548,plain,
( $false
| ~ spl0_16
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3547,f58]) ).
fof(f3549,plain,
( ~ spl0_16
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f3548]) ).
fof(f3568,plain,
( sum(sum(n1,succ(n2)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f246,f421]) ).
fof(f3569,plain,
( sum(sum(n1,n3),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f3568]) ).
fof(f3570,plain,
( sum(n4,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f40,f3569]) ).
fof(f3571,plain,
( sum(n4,sum(pred(n2),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f246,f3570]) ).
fof(f3572,plain,
( sum(n4,sum(n1,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f3571]) ).
fof(f3573,plain,
( sum(n4,n4) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f40,f3572]) ).
fof(f3574,plain,
( n8 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f74,f3573]) ).
fof(f3575,plain,
( n8 != sum(n4,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f246,f3574]) ).
fof(f3576,plain,
( n8 != sum(n4,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f3575]) ).
fof(f3577,plain,
( n8 != sum(n4,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f246,f3576]) ).
fof(f3578,plain,
( n8 != sum(n4,sum(n1,n3))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f3577]) ).
fof(f3579,plain,
( n8 != sum(n4,n4)
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f40,f3578]) ).
fof(f3580,plain,
( $false
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3579,f74]) ).
fof(f3581,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3580]) ).
fof(f3610,plain,
( sum(sum(n3,succ(n3)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f249,f2839]) ).
fof(f3611,plain,
( sum(sum(n3,n4),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f7,f3610]) ).
fof(f3612,plain,
( sum(n7,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f63,f3611]) ).
fof(f3613,plain,
( sum(n7,sum(pred(n3),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f249,f3612]) ).
fof(f3614,plain,
( sum(n7,sum(n2,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f18,f3613]) ).
fof(f3615,plain,
( sum(n7,n7) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f53,f3614]) ).
fof(f3616,plain,
( n3 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f110,f3615]) ).
fof(f3617,plain,
( n3 != sum(n8,sum(pred(n3),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f249,f3616]) ).
fof(f3618,plain,
( n3 != sum(n8,sum(n2,succ(sk0_1)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f18,f3617]) ).
fof(f3619,plain,
( n3 != sum(n8,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f249,f3618]) ).
fof(f3620,plain,
( n3 != sum(n8,sum(n2,n4))
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f7,f3619]) ).
fof(f3621,plain,
( n3 != sum(n8,n6)
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f52,f3620]) ).
fof(f3622,plain,
( $false
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f3621,f120]) ).
fof(f3623,plain,
( ~ spl0_14
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f3622]) ).
fof(f3652,plain,
( sum(sum(n0,succ(n9)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f267,f3074]) ).
fof(f3653,plain,
( sum(sum(n0,n10),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f13,f3652]) ).
fof(f3654,plain,
( sum(n10,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f36,f3653]) ).
fof(f3655,plain,
( sum(n10,sum(pred(n9),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f267,f3654]) ).
fof(f3656,plain,
( sum(n10,sum(n8,n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f24,f3655]) ).
fof(f3657,plain,
( sum(n10,n10) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f116,f3656]) ).
fof(f3658,plain,
( n9 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f146,f3657]) ).
fof(f3659,plain,
( n9 != sum(n2,sum(pred(n9),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f267,f3658]) ).
fof(f3660,plain,
( n9 != sum(n2,sum(n8,succ(sk0_1)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f24,f3659]) ).
fof(f3661,plain,
( n9 != sum(n2,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f267,f3660]) ).
fof(f3662,plain,
( n9 != sum(n2,sum(n8,n10))
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f13,f3661]) ).
fof(f3663,plain,
( n9 != sum(n2,n7)
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f124,f3662]) ).
fof(f3664,plain,
( $false
| ~ spl0_20
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3663,f55]) ).
fof(f3665,plain,
( ~ spl0_20
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f3664]) ).
fof(f3666,plain,
( sum(sum(pred(n1),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f209,f2450]) ).
fof(f3667,plain,
( sum(sum(n0,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f16,f3666]) ).
fof(f3668,plain,
( sum(n8,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f34,f3667]) ).
fof(f3669,plain,
( sum(n8,sum(n6,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f209,f3668]) ).
fof(f3670,plain,
( sum(n8,sum(n6,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f5,f3669]) ).
fof(f3671,plain,
( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f94,f3670]) ).
fof(f3672,plain,
( n5 != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f122,f3671]) ).
fof(f3673,plain,
( n5 != sum(sum(pred(n1),succ(sk0_0)),n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f209,f3672]) ).
fof(f3674,plain,
( n5 != sum(sum(n0,succ(sk0_0)),n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f16,f3673]) ).
fof(f3675,plain,
( n5 != sum(sum(n0,succ(n1)),n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f209,f3674]) ).
fof(f3676,plain,
( n5 != sum(sum(n0,n2),n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f5,f3675]) ).
fof(f3677,plain,
( n5 != sum(n2,n3)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f28,f3676]) ).
fof(f3678,plain,
( $false
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f3677,f51]) ).
fof(f3679,plain,
( ~ spl0_1
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f3678]) ).
fof(f3680,plain,
( sum(sum(pred(n1),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f209,f1549]) ).
fof(f3681,plain,
( sum(sum(n0,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f16,f3680]) ).
fof(f3682,plain,
( sum(n4,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f30,f3681]) ).
fof(f3683,plain,
( sum(n4,sum(n2,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f209,f3682]) ).
fof(f3684,plain,
( sum(n4,sum(n2,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f5,f3683]) ).
fof(f3685,plain,
( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f50,f3684]) ).
fof(f3686,plain,
( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f74,f3685]) ).
fof(f3687,plain,
( n8 != sum(sum(pred(n1),succ(sk0_0)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f209,f3686]) ).
fof(f3688,plain,
( n8 != sum(sum(n0,succ(sk0_0)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f16,f3687]) ).
fof(f3689,plain,
( n8 != sum(sum(n0,succ(n1)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f209,f3688]) ).
fof(f3690,plain,
( n8 != sum(sum(n0,n2),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f5,f3689]) ).
fof(f3691,plain,
( n8 != sum(n2,n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f28,f3690]) ).
fof(f3692,plain,
( $false
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f3691,f54]) ).
fof(f3693,plain,
( ~ spl0_1
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f3692]) ).
fof(f3723,plain,
( sum(sum(n3,succ(n2)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f246,f3429]) ).
fof(f3724,plain,
( sum(sum(n3,n3),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f6,f3723]) ).
fof(f3725,plain,
( sum(n6,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f62,f3724]) ).
fof(f3726,plain,
( sum(n6,sum(pred(n2),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f246,f3725]) ).
fof(f3727,plain,
( sum(n6,sum(n1,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f17,f3726]) ).
fof(f3728,plain,
( sum(n6,n6) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f42,f3727]) ).
fof(f3729,plain,
( n1 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f98,f3728]) ).
fof(f3730,plain,
( n1 != sum(n8,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f246,f3729]) ).
fof(f3731,plain,
( n1 != sum(n8,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f17,f3730]) ).
fof(f3732,plain,
( n1 != sum(n8,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f246,f3731]) ).
fof(f3733,plain,
( n1 != sum(n8,sum(n1,n3))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f6,f3732]) ).
fof(f3734,plain,
( n1 != sum(n8,n4)
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f40,f3733]) ).
fof(f3735,plain,
( $false
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f3734,f118]) ).
fof(f3736,plain,
( ~ spl0_13
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f3735]) ).
fof(f3737,plain,
( sum(sum(pred(n4),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f218,f3472]) ).
fof(f3738,plain,
( sum(sum(n3,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f19,f3737]) ).
fof(f3739,plain,
( sum(n0,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f67,f3738]) ).
fof(f3740,plain,
( sum(n0,sum(n6,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f218,f3739]) ).
fof(f3741,plain,
( sum(n0,sum(n6,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f8,f3740]) ).
fof(f3742,plain,
( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f97,f3741]) ).
fof(f3743,plain,
( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f26,f3742]) ).
fof(f3744,plain,
( n0 != sum(sum(pred(n4),succ(sk0_0)),n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f218,f3743]) ).
fof(f3745,plain,
( n0 != sum(sum(n3,succ(sk0_0)),n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f19,f3744]) ).
fof(f3746,plain,
( n0 != sum(sum(n3,succ(n4)),n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f218,f3745]) ).
fof(f3747,plain,
( n0 != sum(sum(n3,n5),n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f8,f3746]) ).
fof(f3748,plain,
( n0 != sum(n8,n3)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f64,f3747]) ).
fof(f3749,plain,
( $false
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f3748,f117]) ).
fof(f3750,plain,
( ~ spl0_4
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f3749]) ).
fof(f3751,plain,
( sum(sum(pred(n4),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f218,f1430]) ).
fof(f3752,plain,
( sum(sum(n3,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f19,f3751]) ).
fof(f3753,plain,
( sum(n2,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f69,f3752]) ).
fof(f3754,plain,
( sum(n2,sum(n8,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f218,f3753]) ).
fof(f3755,plain,
( sum(n2,sum(n8,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f8,f3754]) ).
fof(f3756,plain,
( sum(n2,n2) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f119,f3755]) ).
fof(f3757,plain,
( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f50,f3756]) ).
fof(f3758,plain,
( n4 != sum(sum(pred(n4),succ(sk0_0)),n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f218,f3757]) ).
fof(f3759,plain,
( n4 != sum(sum(n3,succ(sk0_0)),n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f19,f3758]) ).
fof(f3760,plain,
( n4 != sum(sum(n3,succ(n4)),n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f218,f3759]) ).
fof(f3761,plain,
( n4 != sum(sum(n3,n5),n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f8,f3760]) ).
fof(f3762,plain,
( n4 != sum(n8,n7)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f64,f3761]) ).
fof(f3763,plain,
( $false
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f3762,f121]) ).
fof(f3764,plain,
( ~ spl0_4
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f3763]) ).
fof(f3765,plain,
$false,
inference(sat_refutation,[status(thm)],[f238,f272,f318,f481,f501,f531,f571,f611,f652,f685,f727,f769,f812,f849,f890,f904,f928,f952,f976,f1008,f1049,f1081,f1123,f1164,f1178,f1201,f1215,f1229,f1243,f1257,f1271,f1303,f1336,f1378,f1421,f1464,f1507,f1540,f1583,f1597,f1640,f1654,f1668,f1682,f1696,f1710,f1724,f1738,f1752,f1795,f1836,f1860,f1874,f1888,f1902,f1945,f1959,f1973,f1987,f2001,f2015,f2029,f2043,f2086,f2118,f2141,f2164,f2178,f2192,f2234,f2276,f2290,f2304,f2318,f2332,f2346,f2389,f2432,f2465,f2488,f2531,f2545,f2559,f2602,f2634,f2648,f2662,f2705,f2719,f2761,f2802,f2816,f2830,f2872,f2886,f2909,f2942,f2956,f2999,f3042,f3065,f3108,f3160,f3174,f3217,f3231,f3245,f3288,f3320,f3363,f3396,f3410,f3463,f3506,f3549,f3581,f3623,f3665,f3679,f3693,f3736,f3750,f3764]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n026.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 10:09:13 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.06/0.28 % Refutation found
% 0.06/0.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.29 % Elapsed time: 0.032004 seconds
% 0.06/0.29 % CPU time: 0.154785 seconds
% 0.06/0.29 % Memory used: 8.070 MB
%------------------------------------------------------------------------------