TSTP Solution File: NUM376+1.010 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:30:50 EDT 2024
% Result : Unsatisfiable 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 23
% Syntax : Number of formulae : 2495 ( 145 unt; 0 def)
% Number of atoms : 7239 (2930 equ)
% Maximal formula atoms : 221 ( 2 avg)
% Number of connectives : 11113 (6369 ~;4122 |; 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(f350,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(f351,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,f350]) ).
fof(f352,plain,
( sum(sum(n6,succ(n10)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f270,f351]) ).
fof(f353,plain,
( sum(sum(n6,n0),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f14,f352]) ).
fof(f354,plain,
( sum(n6,sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f92,f353]) ).
fof(f355,plain,
( sum(n6,sum(pred(n10),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f270,f354]) ).
fof(f356,plain,
( sum(n6,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f25,f355]) ).
fof(f357,plain,
( sum(n6,sum(n9,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f227,f356]) ).
fof(f358,plain,
( sum(n6,sum(n9,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f357]) ).
fof(f359,plain,
( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f133,f358]) ).
fof(f360,plain,
( n1 != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f98,f359]) ).
fof(f361,plain,
( n1 != sum(sum(pred(n7),succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f227,f360]) ).
fof(f362,plain,
( n1 != sum(sum(n6,succ(sk0_0)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f361]) ).
fof(f363,plain,
( n1 != sum(sum(n6,succ(n7)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f227,f362]) ).
fof(f364,plain,
( n1 != sum(sum(n6,n8),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f363]) ).
fof(f365,plain,
( n1 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f364]) ).
fof(f366,plain,
( n1 != sum(n3,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f270,f365]) ).
fof(f367,plain,
( n1 != sum(n3,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f25,f366]) ).
fof(f368,plain,
( n1 != sum(n3,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f270,f367]) ).
fof(f369,plain,
( n1 != sum(n3,sum(n9,n0))
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f14,f368]) ).
fof(f370,plain,
( n1 != sum(n3,n9)
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f125,f369]) ).
fof(f371,plain,
( n1 != n1
| ~ spl0_21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f68,f370]) ).
fof(f372,plain,
( $false
| ~ spl0_21
| ~ spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f371]) ).
fof(f373,plain,
( ~ spl0_21
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f221,f149]) ).
fof(f375,plain,
( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f374]) ).
fof(f376,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f375]) ).
fof(f377,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f376]) ).
fof(f378,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f377]) ).
fof(f379,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(n5)),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(n4,succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f379]) ).
fof(f381,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,f380]) ).
fof(f382,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,f381]) ).
fof(f387,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(f388,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,f387]) ).
fof(f389,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,f388]) ).
fof(f390,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,f389]) ).
fof(f391,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,f390]) ).
fof(f392,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,f391]) ).
fof(f393,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,f392]) ).
fof(f394,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,f393]) ).
fof(f395,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,f394]) ).
fof(f404,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(f405,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,f404]) ).
fof(f406,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,f405]) ).
fof(f407,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,f406]) ).
fof(f408,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,f407]) ).
fof(f409,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,f408]) ).
fof(f410,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,f409]) ).
fof(f411,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,f410]) ).
fof(f412,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,f411]) ).
fof(f450,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f227,f412]) ).
fof(f451,plain,
( sum(sum(pred(n7),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f227,f450]) ).
fof(f452,plain,
( sum(sum(n6,n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f22,f451]) ).
fof(f453,plain,
( sum(n7,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n7)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f93,f452]) ).
fof(f454,plain,
( sum(n7,sum(n10,succ(n7))) != sum(sum(pred(sk0_0),succ(n7)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f227,f453]) ).
fof(f455,plain,
( sum(n7,sum(n10,n8)) != sum(sum(pred(sk0_0),succ(n7)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f11,f454]) ).
fof(f456,plain,
( sum(n7,n7) != sum(sum(pred(sk0_0),succ(n7)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f144,f455]) ).
fof(f457,plain,
( n3 != sum(sum(pred(sk0_0),succ(n7)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f110,f456]) ).
fof(f458,plain,
( n3 != sum(sum(pred(n7),succ(n7)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f227,f457]) ).
fof(f459,plain,
( n3 != sum(sum(n6,succ(n7)),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f22,f458]) ).
fof(f460,plain,
( n3 != sum(sum(n6,n8),n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f11,f459]) ).
fof(f461,plain,
( n3 != sum(n3,n0)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f100,f460]) ).
fof(f462,plain,
( n3 != n3
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f59,f461]) ).
fof(f463,plain,
( $false
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_equality_resolution,[status(esa)],[f462]) ).
fof(f464,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f463]) ).
fof(f469,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,f351]) ).
fof(f470,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,f469]) ).
fof(f471,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,f470]) ).
fof(f472,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,f471]) ).
fof(f473,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,f472]) ).
fof(f474,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,f473]) ).
fof(f475,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,f474]) ).
fof(f491,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f267,f475]) ).
fof(f492,plain,
( sum(sum(n6,succ(n9)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f267,f491]) ).
fof(f493,plain,
( sum(sum(n6,n10),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f13,f492]) ).
fof(f494,plain,
( sum(n5,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f102,f493]) ).
fof(f495,plain,
( sum(n5,sum(pred(n9),n8)) != sum(n3,sum(pred(sk0_1),succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f267,f494]) ).
fof(f496,plain,
( sum(n5,sum(n8,n8)) != sum(n3,sum(pred(sk0_1),succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f24,f495]) ).
fof(f497,plain,
( sum(n5,n5) != sum(n3,sum(pred(sk0_1),succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f122,f496]) ).
fof(f498,plain,
( n10 != sum(n3,sum(pred(sk0_1),succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f86,f497]) ).
fof(f499,plain,
( n10 != sum(n3,sum(pred(n9),succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f267,f498]) ).
fof(f500,plain,
( n10 != sum(n3,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f24,f499]) ).
fof(f501,plain,
( n10 != sum(n3,sum(n8,n10))
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f13,f500]) ).
fof(f502,plain,
( n10 != sum(n3,n7)
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f124,f501]) ).
fof(f503,plain,
( n10 != n10
| ~ spl0_20
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f66,f502]) ).
fof(f504,plain,
( $false
| ~ spl0_20
| ~ spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f503]) ).
fof(f505,plain,
( ~ spl0_20
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f506,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(f507,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,f506]) ).
fof(f508,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,f507]) ).
fof(f509,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,f508]) ).
fof(f510,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,f509]) ).
fof(f511,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,f510]) ).
fof(f512,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,f511]) ).
fof(f513,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,f512]) ).
fof(f514,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,f513]) ).
fof(f532,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,f514]) ).
fof(f533,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,f532]) ).
fof(f534,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,f533]) ).
fof(f535,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,f534]) ).
fof(f536,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,f535]) ).
fof(f537,plain,
( sum(n10,n10) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f36,f536]) ).
fof(f538,plain,
( n9 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f146,f537]) ).
fof(f539,plain,
( n9 != sum(n7,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f243,f538]) ).
fof(f540,plain,
( n9 != sum(n7,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f16,f539]) ).
fof(f541,plain,
( n9 != sum(n7,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f243,f540]) ).
fof(f542,plain,
( n9 != sum(n7,sum(n0,n2))
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f5,f541]) ).
fof(f543,plain,
( n9 != sum(n7,n2)
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f28,f542]) ).
fof(f544,plain,
( n9 != n9
| ~ spl0_12
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f105,f543]) ).
fof(f545,plain,
( $false
| ~ spl0_12
| ~ spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f544]) ).
fof(f546,plain,
( ~ spl0_12
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f545]) ).
fof(f547,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(f548,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,f547]) ).
fof(f549,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,f548]) ).
fof(f550,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,f549]) ).
fof(f551,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,f550]) ).
fof(f552,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,f551]) ).
fof(f553,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,f552]) ).
fof(f554,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,f553]) ).
fof(f555,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,f554]) ).
fof(f573,plain,
( sum(sum(n6,succ(n2)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f246,f475]) ).
fof(f574,plain,
( sum(sum(n6,n3),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f6,f573]) ).
fof(f575,plain,
( sum(n9,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f95,f574]) ).
fof(f576,plain,
( sum(n9,sum(pred(n2),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f246,f575]) ).
fof(f577,plain,
( sum(n9,sum(n1,n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f17,f576]) ).
fof(f578,plain,
( sum(n9,n9) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f45,f577]) ).
fof(f579,plain,
( n7 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f134,f578]) ).
fof(f580,plain,
( n7 != sum(n3,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f246,f579]) ).
fof(f581,plain,
( n7 != sum(n3,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f17,f580]) ).
fof(f582,plain,
( n7 != sum(n3,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f246,f581]) ).
fof(f583,plain,
( n7 != sum(n3,sum(n1,n3))
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f6,f582]) ).
fof(f584,plain,
( n7 != sum(n3,n4)
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f40,f583]) ).
fof(f585,plain,
( n7 != n7
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f63,f584]) ).
fof(f586,plain,
( $false
| ~ spl0_13
| ~ spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f585]) ).
fof(f587,plain,
( ~ spl0_13
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f586]) ).
fof(f588,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(f589,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,f588]) ).
fof(f590,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,f589]) ).
fof(f591,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,f590]) ).
fof(f592,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,f591]) ).
fof(f593,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,f592]) ).
fof(f594,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,f593]) ).
fof(f595,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,f594]) ).
fof(f596,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,f595]) ).
fof(f607,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f249,f514]) ).
fof(f608,plain,
( sum(sum(n8,succ(n3)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f249,f607]) ).
fof(f609,plain,
( sum(sum(n8,n4),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f7,f608]) ).
fof(f610,plain,
( sum(n1,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f118,f609]) ).
fof(f611,plain,
( sum(n1,sum(pred(n3),n10)) != sum(n7,sum(pred(sk0_1),succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f249,f610]) ).
fof(f612,plain,
( sum(n1,sum(n2,n10)) != sum(n7,sum(pred(sk0_1),succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f18,f611]) ).
fof(f613,plain,
( sum(n1,n1) != sum(n7,sum(pred(sk0_1),succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f58,f612]) ).
fof(f614,plain,
( n2 != sum(n7,sum(pred(sk0_1),succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f38,f613]) ).
fof(f615,plain,
( n2 != sum(n7,sum(pred(n3),succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f249,f614]) ).
fof(f616,plain,
( n2 != sum(n7,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f18,f615]) ).
fof(f617,plain,
( n2 != sum(n7,sum(n2,n4))
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f7,f616]) ).
fof(f618,plain,
( n2 != sum(n7,n6)
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f52,f617]) ).
fof(f619,plain,
( n2 != n2
| ~ spl0_14
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f109,f618]) ).
fof(f620,plain,
( $false
| ~ spl0_14
| ~ spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f619]) ).
fof(f621,plain,
( ~ spl0_14
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f620]) ).
fof(f622,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(f623,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,f622]) ).
fof(f624,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,f623]) ).
fof(f625,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,f624]) ).
fof(f626,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,f625]) ).
fof(f627,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,f626]) ).
fof(f628,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,f627]) ).
fof(f629,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,f628]) ).
fof(f630,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,f629]) ).
fof(f641,plain,
( sum(sum(n6,succ(sk0_1)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f252,f555]) ).
fof(f642,plain,
( sum(sum(n6,succ(n4)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f252,f641]) ).
fof(f643,plain,
( sum(sum(n6,n5),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f8,f642]) ).
fof(f644,plain,
( sum(n0,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f97,f643]) ).
fof(f645,plain,
( sum(n0,sum(pred(n4),n8)) != sum(n3,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f252,f644]) ).
fof(f646,plain,
( sum(n0,sum(n3,n8)) != sum(n3,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f19,f645]) ).
fof(f647,plain,
( sum(n0,n0) != sum(n3,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f67,f646]) ).
fof(f648,plain,
( n0 != sum(n3,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f26,f647]) ).
fof(f649,plain,
( n0 != sum(n3,sum(pred(n4),succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f252,f648]) ).
fof(f650,plain,
( n0 != sum(n3,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f19,f649]) ).
fof(f651,plain,
( n0 != sum(n3,sum(n3,n5))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f8,f650]) ).
fof(f652,plain,
( n0 != sum(n3,n8)
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f64,f651]) ).
fof(f653,plain,
( n0 != n0
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f67,f652]) ).
fof(f654,plain,
( $false
| ~ spl0_15
| ~ spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f653]) ).
fof(f655,plain,
( ~ spl0_15
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f654]) ).
fof(f656,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(f657,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,f656]) ).
fof(f658,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,f657]) ).
fof(f659,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,f658]) ).
fof(f660,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,f659]) ).
fof(f661,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,f660]) ).
fof(f662,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,f661]) ).
fof(f663,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,f662]) ).
fof(f664,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,f663]) ).
fof(f674,plain,
( sum(sum(n8,succ(sk0_1)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f255,f596]) ).
fof(f675,plain,
( sum(sum(n8,succ(n5)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f255,f674]) ).
fof(f676,plain,
( sum(sum(n8,n6),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f9,f675]) ).
fof(f677,plain,
( sum(n3,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f120,f676]) ).
fof(f678,plain,
( sum(n3,sum(pred(n5),n10)) != sum(n7,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f255,f677]) ).
fof(f679,plain,
( sum(n3,sum(n4,n10)) != sum(n7,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f20,f678]) ).
fof(f680,plain,
( sum(n3,n3) != sum(n7,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f80,f679]) ).
fof(f681,plain,
( n6 != sum(n7,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f62,f680]) ).
fof(f682,plain,
( n6 != sum(n7,sum(pred(n5),succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f255,f681]) ).
fof(f683,plain,
( n6 != sum(n7,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f20,f682]) ).
fof(f684,plain,
( n6 != sum(n7,sum(n4,n6))
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f9,f683]) ).
fof(f685,plain,
( n6 != sum(n7,n10)
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f76,f684]) ).
fof(f686,plain,
( n6 != n6
| ~ spl0_16
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f113,f685]) ).
fof(f687,plain,
( $false
| ~ spl0_16
| ~ spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f686]) ).
fof(f688,plain,
( ~ spl0_16
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f687]) ).
fof(f689,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(f690,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,f689]) ).
fof(f691,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,f690]) ).
fof(f692,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,f691]) ).
fof(f693,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,f692]) ).
fof(f694,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,f693]) ).
fof(f695,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,f694]) ).
fof(f696,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,f695]) ).
fof(f697,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,f696]) ).
fof(f716,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,f630]) ).
fof(f717,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,f716]) ).
fof(f718,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,f717]) ).
fof(f719,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,f718]) ).
fof(f720,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,f719]) ).
fof(f721,plain,
( sum(n2,n2) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f89,f720]) ).
fof(f722,plain,
( n4 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f50,f721]) ).
fof(f723,plain,
( n4 != sum(n3,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f258,f722]) ).
fof(f724,plain,
( n4 != sum(n3,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f21,f723]) ).
fof(f725,plain,
( n4 != sum(n3,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f258,f724]) ).
fof(f726,plain,
( n4 != sum(n3,sum(n5,n7))
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f10,f725]) ).
fof(f727,plain,
( n4 != sum(n3,n1)
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f88,f726]) ).
fof(f728,plain,
( n4 != n4
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f60,f727]) ).
fof(f729,plain,
( $false
| ~ spl0_17
| ~ spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f728]) ).
fof(f730,plain,
( ~ spl0_17
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f729]) ).
fof(f731,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(f732,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,f731]) ).
fof(f733,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,f732]) ).
fof(f734,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,f733]) ).
fof(f735,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,f734]) ).
fof(f736,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,f735]) ).
fof(f737,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,f736]) ).
fof(f738,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,f737]) ).
fof(f739,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,f738]) ).
fof(f759,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,f664]) ).
fof(f760,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,f759]) ).
fof(f761,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,f760]) ).
fof(f762,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,f761]) ).
fof(f763,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,f762]) ).
fof(f764,plain,
( sum(n5,n5) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f102,f763]) ).
fof(f765,plain,
( n10 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f86,f764]) ).
fof(f766,plain,
( n10 != sum(n7,sum(pred(n7),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f261,f765]) ).
fof(f767,plain,
( n10 != sum(n7,sum(n6,succ(sk0_1)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f22,f766]) ).
fof(f768,plain,
( n10 != sum(n7,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f261,f767]) ).
fof(f769,plain,
( n10 != sum(n7,sum(n6,n8))
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f11,f768]) ).
fof(f770,plain,
( n10 != sum(n7,n3)
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f100,f769]) ).
fof(f771,plain,
( n10 != n10
| ~ spl0_18
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f106,f770]) ).
fof(f772,plain,
( $false
| ~ spl0_18
| ~ spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f771]) ).
fof(f773,plain,
( ~ spl0_18
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f772]) ).
fof(f783,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(f784,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,f783]) ).
fof(f785,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,f784]) ).
fof(f786,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,f785]) ).
fof(f787,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,f786]) ).
fof(f788,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,f787]) ).
fof(f789,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,f788]) ).
fof(f790,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,f789]) ).
fof(f791,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,f790]) ).
fof(f801,plain,
( sum(sum(pred(n3),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f215,f791]) ).
fof(f802,plain,
( sum(sum(n2,n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f18,f801]) ).
fof(f803,plain,
( sum(n2,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f48,f802]) ).
fof(f804,plain,
( sum(n2,sum(n9,succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f215,f803]) ).
fof(f805,plain,
( sum(n2,sum(n9,n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f7,f804]) ).
fof(f806,plain,
( sum(n2,n2) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f129,f805]) ).
fof(f807,plain,
( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f50,f806]) ).
fof(f808,plain,
( n4 != sum(sum(pred(n3),succ(sk0_0)),n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f215,f807]) ).
fof(f809,plain,
( n4 != sum(sum(n2,succ(sk0_0)),n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f18,f808]) ).
fof(f810,plain,
( n4 != sum(sum(n2,succ(n3)),n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f215,f809]) ).
fof(f811,plain,
( n4 != sum(sum(n2,n4),n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f7,f810]) ).
fof(f812,plain,
( n4 != sum(n6,n9)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f52,f811]) ).
fof(f813,plain,
( n4 != n4
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f101,f812]) ).
fof(f814,plain,
( $false
| ~ spl0_3
| ~ spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f813]) ).
fof(f815,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f816,plain,
( sum(sum(pred(n8),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f230,f791]) ).
fof(f817,plain,
( sum(sum(n7,n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f23,f816]) ).
fof(f818,plain,
( sum(n7,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f103,f817]) ).
fof(f819,plain,
( sum(n7,sum(n9,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f230,f818]) ).
fof(f820,plain,
( sum(n7,sum(n9,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f12,f819]) ).
fof(f821,plain,
( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f134,f820]) ).
fof(f822,plain,
( n3 != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f110,f821]) ).
fof(f823,plain,
( n3 != sum(sum(pred(n8),succ(sk0_0)),n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f230,f822]) ).
fof(f824,plain,
( n3 != sum(sum(n7,succ(sk0_0)),n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f23,f823]) ).
fof(f825,plain,
( n3 != sum(sum(n7,succ(n8)),n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f230,f824]) ).
fof(f826,plain,
( n3 != sum(sum(n7,n9),n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f12,f825]) ).
fof(f827,plain,
( n3 != sum(n5,n9)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f112,f826]) ).
fof(f828,plain,
( n3 != n3
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f90,f827]) ).
fof(f829,plain,
( $false
| ~ spl0_8
| ~ spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f828]) ).
fof(f830,plain,
( ~ spl0_8
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f829]) ).
fof(f840,plain,
( sum(sum(pred(n6),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f224,f791]) ).
fof(f841,plain,
( sum(sum(n5,n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f21,f840]) ).
fof(f842,plain,
( sum(n5,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f81,f841]) ).
fof(f843,plain,
( sum(n5,sum(n9,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f224,f842]) ).
fof(f844,plain,
( sum(n5,sum(n9,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f10,f843]) ).
fof(f845,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f132,f844]) ).
fof(f846,plain,
( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f86,f845]) ).
fof(f847,plain,
( n10 != sum(sum(pred(n6),succ(sk0_0)),n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f224,f846]) ).
fof(f848,plain,
( n10 != sum(sum(n5,succ(sk0_0)),n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f21,f847]) ).
fof(f849,plain,
( n10 != sum(sum(n5,succ(n6)),n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f224,f848]) ).
fof(f850,plain,
( n10 != sum(sum(n5,n7),n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f10,f849]) ).
fof(f851,plain,
( n10 != sum(n1,n9)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f88,f850]) ).
fof(f852,plain,
( n10 != n10
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f46,f851]) ).
fof(f853,plain,
( $false
| ~ spl0_6
| ~ spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f852]) ).
fof(f854,plain,
( ~ spl0_6
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f853]) ).
fof(f855,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,f395]) ).
fof(f856,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,f855]) ).
fof(f857,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,f856]) ).
fof(f858,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,f857]) ).
fof(f859,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,f858]) ).
fof(f860,plain,
( sum(n0,n0) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f127,f859]) ).
fof(f861,plain,
( n0 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f26,f860]) ).
fof(f862,plain,
( n0 != sum(n2,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f270,f861]) ).
fof(f863,plain,
( n0 != sum(n2,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f25,f862]) ).
fof(f864,plain,
( n0 != sum(n2,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f270,f863]) ).
fof(f865,plain,
( n0 != sum(n2,sum(n9,n0))
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f14,f864]) ).
fof(f866,plain,
( n0 != sum(n2,n9)
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f125,f865]) ).
fof(f867,plain,
( n0 != n0
| ~ spl0_21
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f57,f866]) ).
fof(f868,plain,
( $false
| ~ spl0_21
| ~ spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f867]) ).
fof(f869,plain,
( ~ spl0_21
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f868]) ).
fof(f878,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f236,f791]) ).
fof(f879,plain,
( sum(sum(n9,n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f25,f878]) ).
fof(f880,plain,
( sum(n9,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f125,f879]) ).
fof(f881,plain,
( sum(n9,sum(n9,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f236,f880]) ).
fof(f882,plain,
( sum(n9,sum(n9,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f14,f881]) ).
fof(f883,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f125,f882]) ).
fof(f884,plain,
( n7 != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f134,f883]) ).
fof(f885,plain,
( n7 != sum(sum(pred(n10),succ(sk0_0)),n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f236,f884]) ).
fof(f886,plain,
( n7 != sum(sum(n9,succ(sk0_0)),n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f25,f885]) ).
fof(f887,plain,
( n7 != sum(sum(n9,succ(n10)),n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f236,f886]) ).
fof(f888,plain,
( n7 != sum(sum(n9,n0),n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f14,f887]) ).
fof(f889,plain,
( n7 != sum(n9,n9)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f125,f888]) ).
fof(f890,plain,
( n7 != n7
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f134,f889]) ).
fof(f891,plain,
( $false
| ~ spl0_10
| ~ spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f890]) ).
fof(f892,plain,
( ~ spl0_10
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f891]) ).
fof(f903,plain,
( sum(sum(pred(n0),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f206,f791]) ).
fof(f904,plain,
( sum(sum(n10,n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f15,f903]) ).
fof(f905,plain,
( sum(n10,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f136,f904]) ).
fof(f906,plain,
( sum(n10,sum(n9,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f206,f905]) ).
fof(f907,plain,
( sum(n10,sum(n9,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f4,f906]) ).
fof(f908,plain,
( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f126,f907]) ).
fof(f909,plain,
( n9 != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f146,f908]) ).
fof(f910,plain,
( n9 != sum(sum(pred(n0),succ(sk0_0)),n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f206,f909]) ).
fof(f911,plain,
( n9 != sum(sum(n10,succ(sk0_0)),n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f15,f910]) ).
fof(f912,plain,
( n9 != sum(sum(n10,succ(n0)),n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f206,f911]) ).
fof(f913,plain,
( n9 != sum(sum(n10,n1),n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f4,f912]) ).
fof(f914,plain,
( n9 != sum(n0,n9)
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f137,f913]) ).
fof(f915,plain,
( n9 != n9
| ~ spl0_0
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f35,f914]) ).
fof(f916,plain,
( $false
| ~ spl0_0
| ~ spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f915]) ).
fof(f917,plain,
( ~ spl0_0
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f916]) ).
fof(f918,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(f919,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,f918]) ).
fof(f920,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,f919]) ).
fof(f921,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,f920]) ).
fof(f922,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,f921]) ).
fof(f923,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,f922]) ).
fof(f924,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,f923]) ).
fof(f925,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,f924]) ).
fof(f926,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,f925]) ).
fof(f927,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,f555]) ).
fof(f928,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,f927]) ).
fof(f929,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,f928]) ).
fof(f930,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,f929]) ).
fof(f931,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,f930]) ).
fof(f932,plain,
( sum(n8,n8) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f34,f931]) ).
fof(f933,plain,
( n5 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f122,f932]) ).
fof(f934,plain,
( n5 != sum(n3,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f243,f933]) ).
fof(f935,plain,
( n5 != sum(n3,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f16,f934]) ).
fof(f936,plain,
( n5 != sum(n3,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f243,f935]) ).
fof(f937,plain,
( n5 != sum(n3,sum(n0,n2))
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f5,f936]) ).
fof(f938,plain,
( n5 != sum(n3,n2)
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f28,f937]) ).
fof(f939,plain,
( n5 != n5
| ~ spl0_12
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f61,f938]) ).
fof(f940,plain,
( $false
| ~ spl0_12
| ~ spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f939]) ).
fof(f941,plain,
( ~ spl0_12
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f940]) ).
fof(f950,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(n6)))
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f258,f149]) ).
fof(f951,plain,
( sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f258,f950]) ).
fof(f952,plain,
( sum(sum(pred(sk0_0),n7),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f10,f951]) ).
fof(f953,plain,
( sum(sum(pred(sk0_0),n7),sum(pred(n6),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f258,f952]) ).
fof(f954,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f21,f953]) ).
fof(f955,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n6),succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f258,f954]) ).
fof(f956,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n5,succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f21,f955]) ).
fof(f957,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n5,n7))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f10,f956]) ).
fof(f958,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f88,f957]) ).
fof(f970,plain,
( sum(sum(n8,succ(n6)),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f258,f596]) ).
fof(f971,plain,
( sum(sum(n8,n7),sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f10,f970]) ).
fof(f972,plain,
( sum(n4,sum(pred(sk0_1),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f121,f971]) ).
fof(f973,plain,
( sum(n4,sum(pred(n6),n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f258,f972]) ).
fof(f974,plain,
( sum(n4,sum(n5,n10)) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f21,f973]) ).
fof(f975,plain,
( sum(n4,n4) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f91,f974]) ).
fof(f976,plain,
( n8 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f74,f975]) ).
fof(f977,plain,
( n8 != sum(n7,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f258,f976]) ).
fof(f978,plain,
( n8 != sum(n7,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f21,f977]) ).
fof(f979,plain,
( n8 != sum(n7,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f258,f978]) ).
fof(f980,plain,
( n8 != sum(n7,sum(n5,n7))
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f10,f979]) ).
fof(f981,plain,
( n8 != sum(n7,n1)
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f88,f980]) ).
fof(f982,plain,
( n8 != n8
| ~ spl0_17
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f104,f981]) ).
fof(f983,plain,
( $false
| ~ spl0_17
| ~ spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f982]) ).
fof(f984,plain,
( ~ spl0_17
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f983]) ).
fof(f985,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(f986,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,f985]) ).
fof(f987,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,f986]) ).
fof(f988,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,f987]) ).
fof(f989,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,f988]) ).
fof(f990,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,f989]) ).
fof(f991,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,f990]) ).
fof(f992,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,f991]) ).
fof(f993,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,f992]) ).
fof(f1011,plain,
( sum(sum(n6,succ(n7)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f261,f697]) ).
fof(f1012,plain,
( sum(sum(n6,n8),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f1011]) ).
fof(f1013,plain,
( sum(n3,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f1012]) ).
fof(f1014,plain,
( sum(n3,sum(pred(n7),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f261,f1013]) ).
fof(f1015,plain,
( sum(n3,sum(n6,n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f1014]) ).
fof(f1016,plain,
( sum(n3,n3) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f1015]) ).
fof(f1017,plain,
( n6 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f62,f1016]) ).
fof(f1018,plain,
( n6 != sum(n3,sum(pred(n7),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f261,f1017]) ).
fof(f1019,plain,
( n6 != sum(n3,sum(n6,succ(sk0_1)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f1018]) ).
fof(f1020,plain,
( n6 != sum(n3,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f261,f1019]) ).
fof(f1021,plain,
( n6 != sum(n3,sum(n6,n8))
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f11,f1020]) ).
fof(f1022,plain,
( n6 != sum(n3,n3)
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f100,f1021]) ).
fof(f1023,plain,
( n6 != n6
| ~ spl0_18
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f62,f1022]) ).
fof(f1024,plain,
( $false
| ~ spl0_18
| ~ spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f1023]) ).
fof(f1025,plain,
( ~ spl0_18
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1024]) ).
fof(f1033,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(f1034,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,f1033]) ).
fof(f1035,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,f1034]) ).
fof(f1036,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,f1035]) ).
fof(f1037,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,f1036]) ).
fof(f1038,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,f1037]) ).
fof(f1039,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,f1038]) ).
fof(f1040,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,f1039]) ).
fof(f1041,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,f1040]) ).
fof(f1061,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,f739]) ).
fof(f1062,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,f1061]) ).
fof(f1063,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,f1062]) ).
fof(f1064,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,f1063]) ).
fof(f1065,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,f1064]) ).
fof(f1066,plain,
( sum(n2,n2) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f69,f1065]) ).
fof(f1067,plain,
( n4 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f50,f1066]) ).
fof(f1068,plain,
( n4 != sum(n7,sum(pred(n4),succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f252,f1067]) ).
fof(f1069,plain,
( n4 != sum(n7,sum(n3,succ(sk0_1)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f19,f1068]) ).
fof(f1070,plain,
( n4 != sum(n7,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f252,f1069]) ).
fof(f1071,plain,
( n4 != sum(n7,sum(n3,n5))
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f8,f1070]) ).
fof(f1072,plain,
( n4 != sum(n7,n8)
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f64,f1071]) ).
fof(f1073,plain,
( n4 != n4
| ~ spl0_15
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f111,f1072]) ).
fof(f1074,plain,
( $false
| ~ spl0_15
| ~ spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f1073]) ).
fof(f1075,plain,
( ~ spl0_15
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1074]) ).
fof(f1083,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(f1084,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,f1083]) ).
fof(f1085,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,f1084]) ).
fof(f1086,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,f1085]) ).
fof(f1087,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,f1086]) ).
fof(f1088,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,f1087]) ).
fof(f1089,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,f1088]) ).
fof(f1090,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,f1089]) ).
fof(f1091,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,f1090]) ).
fof(f1104,plain,
( sum(sum(n6,succ(n3)),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f249,f630]) ).
fof(f1105,plain,
( sum(sum(n6,n4),sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f7,f1104]) ).
fof(f1106,plain,
( sum(n10,sum(pred(sk0_1),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f96,f1105]) ).
fof(f1107,plain,
( sum(n10,sum(pred(n3),n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f249,f1106]) ).
fof(f1108,plain,
( sum(n10,sum(n2,n8)) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f18,f1107]) ).
fof(f1109,plain,
( sum(n10,n10) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f56,f1108]) ).
fof(f1110,plain,
( n9 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f146,f1109]) ).
fof(f1111,plain,
( n9 != sum(n3,sum(pred(n3),succ(sk0_1)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f249,f1110]) ).
fof(f1112,plain,
( n9 != sum(n3,sum(n2,succ(sk0_1)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f18,f1111]) ).
fof(f1113,plain,
( n9 != sum(n3,sum(n2,succ(n3)))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f249,f1112]) ).
fof(f1114,plain,
( n9 != sum(n3,sum(n2,n4))
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f7,f1113]) ).
fof(f1115,plain,
( n9 != sum(n3,n6)
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f52,f1114]) ).
fof(f1116,plain,
( n9 != n9
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f65,f1115]) ).
fof(f1117,plain,
( $false
| ~ spl0_14
| ~ spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f1116]) ).
fof(f1118,plain,
( ~ spl0_14
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1117]) ).
fof(f1120,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(f1121,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,f1120]) ).
fof(f1122,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,f1121]) ).
fof(f1123,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,f1122]) ).
fof(f1124,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,f1123]) ).
fof(f1125,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,f1124]) ).
fof(f1126,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,f1125]) ).
fof(f1127,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,f1126]) ).
fof(f1128,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,f1127]) ).
fof(f1146,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,f664]) ).
fof(f1147,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,f1146]) ).
fof(f1148,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,f1147]) ).
fof(f1149,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,f1148]) ).
fof(f1150,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,f1149]) ).
fof(f1151,plain,
( sum(n7,n7) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f1150]) ).
fof(f1152,plain,
( n3 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f110,f1151]) ).
fof(f1153,plain,
( n3 != sum(n7,sum(pred(n9),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f267,f1152]) ).
fof(f1154,plain,
( n3 != sum(n7,sum(n8,succ(sk0_1)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f24,f1153]) ).
fof(f1155,plain,
( n3 != sum(n7,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f267,f1154]) ).
fof(f1156,plain,
( n3 != sum(n7,sum(n8,n10))
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f13,f1155]) ).
fof(f1157,plain,
( n3 != sum(n7,n7)
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f124,f1156]) ).
fof(f1158,plain,
( n3 != n3
| ~ spl0_20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f110,f1157]) ).
fof(f1159,plain,
( $false
| ~ spl0_20
| ~ spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f1158]) ).
fof(f1160,plain,
( ~ spl0_20
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1159]) ).
fof(f1189,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,f555]) ).
fof(f1190,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,f1189]) ).
fof(f1191,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,f1190]) ).
fof(f1192,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,f1191]) ).
fof(f1193,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,f1192]) ).
fof(f1194,plain,
( sum(n4,n4) != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f111,f1193]) ).
fof(f1195,plain,
( n8 != sum(n3,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f74,f1194]) ).
fof(f1196,plain,
( n8 != sum(n3,sum(pred(n8),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f264,f1195]) ).
fof(f1197,plain,
( n8 != sum(n3,sum(n7,succ(sk0_1)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f23,f1196]) ).
fof(f1198,plain,
( n8 != sum(n3,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f264,f1197]) ).
fof(f1199,plain,
( n8 != sum(n3,sum(n7,n9))
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f12,f1198]) ).
fof(f1200,plain,
( n8 != sum(n3,n5)
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f112,f1199]) ).
fof(f1201,plain,
( n8 != n8
| ~ spl0_19
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f64,f1200]) ).
fof(f1202,plain,
( $false
| ~ spl0_19
| ~ spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f1201]) ).
fof(f1203,plain,
( ~ spl0_19
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1202]) ).
fof(f1214,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(f1215,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,f1214]) ).
fof(f1216,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,f1215]) ).
fof(f1217,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,f1216]) ).
fof(f1218,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,f1217]) ).
fof(f1219,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,f1218]) ).
fof(f1220,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,f1219]) ).
fof(f1221,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,f1220]) ).
fof(f1222,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,f1221]) ).
fof(f1225,plain,
( sum(sum(pred(n3),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f215,f412]) ).
fof(f1226,plain,
( sum(sum(n2,n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f18,f1225]) ).
fof(f1227,plain,
( sum(n3,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f49,f1226]) ).
fof(f1228,plain,
( sum(n3,sum(n10,succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f215,f1227]) ).
fof(f1229,plain,
( sum(n3,sum(n10,n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f7,f1228]) ).
fof(f1230,plain,
( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f140,f1229]) ).
fof(f1231,plain,
( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f62,f1230]) ).
fof(f1232,plain,
( n6 != sum(sum(pred(n3),succ(sk0_0)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f215,f1231]) ).
fof(f1233,plain,
( n6 != sum(sum(n2,succ(sk0_0)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f18,f1232]) ).
fof(f1234,plain,
( n6 != sum(sum(n2,succ(n3)),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f215,f1233]) ).
fof(f1235,plain,
( n6 != sum(sum(n2,n4),n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f7,f1234]) ).
fof(f1236,plain,
( n6 != sum(n6,n0)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f52,f1235]) ).
fof(f1237,plain,
( n6 != n6
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f92,f1236]) ).
fof(f1238,plain,
( $false
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_equality_resolution,[status(esa)],[f1237]) ).
fof(f1239,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1238]) ).
fof(f1250,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(f1251,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,f1250]) ).
fof(f1252,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,f1251]) ).
fof(f1253,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,f1252]) ).
fof(f1254,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,f1253]) ).
fof(f1255,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,f1254]) ).
fof(f1256,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,f1255]) ).
fof(f1257,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,f1256]) ).
fof(f1258,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,f1257]) ).
fof(f1266,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,f926]) ).
fof(f1267,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,f1266]) ).
fof(f1268,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,f1267]) ).
fof(f1269,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,f1268]) ).
fof(f1270,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,f1269]) ).
fof(f1271,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f35,f1270]) ).
fof(f1272,plain,
( n7 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f134,f1271]) ).
fof(f1273,plain,
( n7 != sum(sum(pred(n8),succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f230,f1272]) ).
fof(f1274,plain,
( n7 != sum(sum(n7,succ(sk0_0)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f23,f1273]) ).
fof(f1275,plain,
( n7 != sum(sum(n7,succ(n8)),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f230,f1274]) ).
fof(f1276,plain,
( n7 != sum(sum(n7,n9),n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f12,f1275]) ).
fof(f1277,plain,
( n7 != sum(n5,n2)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f112,f1276]) ).
fof(f1278,plain,
( n7 != n7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f83,f1277]) ).
fof(f1279,plain,
( $false
| ~ spl0_8
| ~ spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f1278]) ).
fof(f1280,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f1281,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f224,f1258]) ).
fof(f1282,plain,
( sum(sum(pred(n6),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f224,f1281]) ).
fof(f1283,plain,
( sum(sum(n5,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f21,f1282]) ).
fof(f1284,plain,
( sum(n7,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f83,f1283]) ).
fof(f1285,plain,
( sum(n7,sum(n0,succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f224,f1284]) ).
fof(f1286,plain,
( sum(n7,sum(n0,n7)) != sum(sum(pred(sk0_0),succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f10,f1285]) ).
fof(f1287,plain,
( sum(n7,n7) != sum(sum(pred(sk0_0),succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f33,f1286]) ).
fof(f1288,plain,
( n3 != sum(sum(pred(sk0_0),succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f110,f1287]) ).
fof(f1289,plain,
( n3 != sum(sum(pred(n6),succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f224,f1288]) ).
fof(f1290,plain,
( n3 != sum(sum(n5,succ(n6)),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f21,f1289]) ).
fof(f1291,plain,
( n3 != sum(sum(n5,n7),n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f10,f1290]) ).
fof(f1292,plain,
( n3 != sum(n1,n2)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f88,f1291]) ).
fof(f1293,plain,
( n3 != n3
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f39,f1292]) ).
fof(f1294,plain,
( $false
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f1293]) ).
fof(f1295,plain,
( ~ spl0_6
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1294]) ).
fof(f1306,plain,
( sum(sum(pred(n4),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f218,f926]) ).
fof(f1307,plain,
( sum(sum(n3,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f19,f1306]) ).
fof(f1308,plain,
( sum(n5,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f61,f1307]) ).
fof(f1309,plain,
( sum(n5,sum(n0,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f218,f1308]) ).
fof(f1310,plain,
( sum(n5,sum(n0,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f8,f1309]) ).
fof(f1311,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f31,f1310]) ).
fof(f1312,plain,
( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f86,f1311]) ).
fof(f1313,plain,
( n10 != sum(sum(pred(n4),succ(sk0_0)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f218,f1312]) ).
fof(f1314,plain,
( n10 != sum(sum(n3,succ(sk0_0)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f19,f1313]) ).
fof(f1315,plain,
( n10 != sum(sum(n3,succ(n4)),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f218,f1314]) ).
fof(f1316,plain,
( n10 != sum(sum(n3,n5),n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f8,f1315]) ).
fof(f1317,plain,
( n10 != sum(n8,n2)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f64,f1316]) ).
fof(f1318,plain,
( n10 != n10
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f116,f1317]) ).
fof(f1319,plain,
( $false
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f1318]) ).
fof(f1320,plain,
( ~ spl0_4
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1319]) ).
fof(f1321,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,f395]) ).
fof(f1322,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,f1321]) ).
fof(f1323,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,f1322]) ).
fof(f1324,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,f1323]) ).
fof(f1325,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,f1324]) ).
fof(f1326,plain,
( sum(n2,n2) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f28,f1325]) ).
fof(f1327,plain,
( n4 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f50,f1326]) ).
fof(f1328,plain,
( n4 != sum(n2,sum(pred(n1),succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f243,f1327]) ).
fof(f1329,plain,
( n4 != sum(n2,sum(n0,succ(sk0_1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f16,f1328]) ).
fof(f1330,plain,
( n4 != sum(n2,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f243,f1329]) ).
fof(f1331,plain,
( n4 != sum(n2,sum(n0,n2))
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f5,f1330]) ).
fof(f1332,plain,
( n4 != sum(n2,n2)
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f28,f1331]) ).
fof(f1333,plain,
( n4 != n4
| ~ spl0_12
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f50,f1332]) ).
fof(f1334,plain,
( $false
| ~ spl0_12
| ~ spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1333]) ).
fof(f1335,plain,
( ~ spl0_12
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f1334]) ).
fof(f1337,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f212,f1258]) ).
fof(f1338,plain,
( sum(sum(pred(n2),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f212,f1337]) ).
fof(f1339,plain,
( sum(sum(n1,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f17,f1338]) ).
fof(f1340,plain,
( sum(n3,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f39,f1339]) ).
fof(f1341,plain,
( sum(n3,sum(n0,succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f212,f1340]) ).
fof(f1342,plain,
( sum(n3,sum(n0,n3)) != sum(sum(pred(sk0_0),succ(n2)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f6,f1341]) ).
fof(f1343,plain,
( sum(n3,n3) != sum(sum(pred(sk0_0),succ(n2)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f29,f1342]) ).
fof(f1344,plain,
( n6 != sum(sum(pred(sk0_0),succ(n2)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f62,f1343]) ).
fof(f1345,plain,
( n6 != sum(sum(pred(n2),succ(n2)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f212,f1344]) ).
fof(f1346,plain,
( n6 != sum(sum(n1,succ(n2)),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f17,f1345]) ).
fof(f1347,plain,
( n6 != sum(sum(n1,n3),n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f6,f1346]) ).
fof(f1348,plain,
( n6 != sum(n4,n2)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f40,f1347]) ).
fof(f1349,plain,
( n6 != n6
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f72,f1348]) ).
fof(f1350,plain,
( $false
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f1349]) ).
fof(f1351,plain,
( ~ spl0_2
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1350]) ).
fof(f1356,plain,
( sum(sum(pred(sk0_0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f236,f1258]) ).
fof(f1357,plain,
( sum(sum(pred(n10),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f236,f1356]) ).
fof(f1358,plain,
( sum(sum(n9,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f25,f1357]) ).
fof(f1359,plain,
( sum(n0,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f127,f1358]) ).
fof(f1360,plain,
( sum(n0,sum(n0,succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f236,f1359]) ).
fof(f1361,plain,
( sum(n0,sum(n0,n0)) != sum(sum(pred(sk0_0),succ(n10)),n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f14,f1360]) ).
fof(f1362,plain,
( sum(n0,n0) != sum(sum(pred(sk0_0),succ(n10)),n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f26,f1361]) ).
fof(f1363,plain,
( n0 != sum(sum(pred(sk0_0),succ(n10)),n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f26,f1362]) ).
fof(f1364,plain,
( n0 != sum(sum(pred(n10),succ(n10)),n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f236,f1363]) ).
fof(f1365,plain,
( n0 != sum(sum(n9,succ(n10)),n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f25,f1364]) ).
fof(f1366,plain,
( n0 != sum(sum(n9,n0),n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f14,f1365]) ).
fof(f1367,plain,
( n0 != sum(n9,n2)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f125,f1366]) ).
fof(f1368,plain,
( n0 != n0
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f127,f1367]) ).
fof(f1369,plain,
( $false
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f1368]) ).
fof(f1370,plain,
( ~ spl0_10
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1369]) ).
fof(f1371,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(f1372,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,f1371]) ).
fof(f1373,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,f1372]) ).
fof(f1374,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,f1373]) ).
fof(f1375,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,f1374]) ).
fof(f1376,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,f1375]) ).
fof(f1377,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,f1376]) ).
fof(f1378,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,f1377]) ).
fof(f1379,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,f1378]) ).
fof(f1390,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,f596]) ).
fof(f1391,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,f1390]) ).
fof(f1392,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,f1391]) ).
fof(f1393,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,f1392]) ).
fof(f1394,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,f1393]) ).
fof(f1395,plain,
( sum(n8,n8) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f135,f1394]) ).
fof(f1396,plain,
( n5 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f122,f1395]) ).
fof(f1397,plain,
( n5 != sum(n7,sum(pred(n10),succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f270,f1396]) ).
fof(f1398,plain,
( n5 != sum(n7,sum(n9,succ(sk0_1)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f25,f1397]) ).
fof(f1399,plain,
( n5 != sum(n7,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f270,f1398]) ).
fof(f1400,plain,
( n5 != sum(n7,sum(n9,n0))
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f14,f1399]) ).
fof(f1401,plain,
( n5 != sum(n7,n9)
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f125,f1400]) ).
fof(f1402,plain,
( n5 != n5
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f112,f1401]) ).
fof(f1403,plain,
( $false
| ~ spl0_21
| ~ spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f1402]) ).
fof(f1404,plain,
( ~ spl0_21
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1403]) ).
fof(f1405,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(f1406,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,f1405]) ).
fof(f1407,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,f1406]) ).
fof(f1408,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,f1407]) ).
fof(f1409,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,f1408]) ).
fof(f1410,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,f1409]) ).
fof(f1411,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,f1410]) ).
fof(f1412,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,f1411]) ).
fof(f1413,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,f1412]) ).
fof(f1433,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,f1413]) ).
fof(f1434,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,f1433]) ).
fof(f1435,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,f1434]) ).
fof(f1436,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,f1435]) ).
fof(f1437,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,f1436]) ).
fof(f1438,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f41,f1437]) ).
fof(f1439,plain,
( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f86,f1438]) ).
fof(f1440,plain,
( n10 != sum(sum(pred(n3),succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f215,f1439]) ).
fof(f1441,plain,
( n10 != sum(sum(n2,succ(sk0_0)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f18,f1440]) ).
fof(f1442,plain,
( n10 != sum(sum(n2,succ(n3)),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f215,f1441]) ).
fof(f1443,plain,
( n10 != sum(sum(n2,n4),n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f7,f1442]) ).
fof(f1444,plain,
( n10 != sum(n6,n4)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f52,f1443]) ).
fof(f1445,plain,
( n10 != n10
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f96,f1444]) ).
fof(f1446,plain,
( $false
| ~ spl0_3
| ~ spl0_13 ),
inference(trivial_equality_resolution,[status(esa)],[f1445]) ).
fof(f1447,plain,
( ~ spl0_3
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f1446]) ).
fof(f1457,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(n6)))
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f258,f149]) ).
fof(f1458,plain,
( sum(sum(pred(sk0_0),succ(n6)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f258,f1457]) ).
fof(f1459,plain,
( sum(sum(pred(sk0_0),n7),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f10,f1458]) ).
fof(f1460,plain,
( sum(sum(pred(sk0_0),n7),sum(pred(n6),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f258,f1459]) ).
fof(f1461,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(sk0_1),succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f21,f1460]) ).
fof(f1462,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(pred(n6),succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f258,f1461]) ).
fof(f1463,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n5,succ(n6)))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f21,f1462]) ).
fof(f1464,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),sum(n5,n7))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f10,f1463]) ).
fof(f1465,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f88,f1464]) ).
fof(f1470,plain,
( sum(sum(pred(n0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f206,f958]) ).
fof(f1471,plain,
( sum(sum(n10,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f15,f1470]) ).
fof(f1472,plain,
( sum(n6,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f143,f1471]) ).
fof(f1473,plain,
( sum(n6,sum(n5,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f206,f1472]) ).
fof(f1474,plain,
( sum(n6,sum(n5,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f4,f1473]) ).
fof(f1475,plain,
( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f82,f1474]) ).
fof(f1476,plain,
( n1 != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f98,f1475]) ).
fof(f1477,plain,
( n1 != sum(sum(pred(n0),succ(sk0_0)),n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f206,f1476]) ).
fof(f1478,plain,
( n1 != sum(sum(n10,succ(sk0_0)),n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f15,f1477]) ).
fof(f1479,plain,
( n1 != sum(sum(n10,succ(n0)),n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f206,f1478]) ).
fof(f1480,plain,
( n1 != sum(sum(n10,n1),n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f4,f1479]) ).
fof(f1481,plain,
( n1 != sum(n0,n1)
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f137,f1480]) ).
fof(f1482,plain,
( n1 != n1
| ~ spl0_0
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f27,f1481]) ).
fof(f1483,plain,
( $false
| ~ spl0_0
| ~ spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f1482]) ).
fof(f1484,plain,
( ~ spl0_0
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1483]) ).
fof(f1490,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f215,f1465]) ).
fof(f1491,plain,
( sum(sum(pred(n3),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f215,f1490]) ).
fof(f1492,plain,
( sum(sum(n2,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f18,f1491]) ).
fof(f1493,plain,
( sum(n9,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f55,f1492]) ).
fof(f1494,plain,
( sum(n9,sum(n5,succ(n3))) != sum(sum(pred(sk0_0),succ(n3)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f215,f1493]) ).
fof(f1495,plain,
( sum(n9,sum(n5,n4)) != sum(sum(pred(sk0_0),succ(n3)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f7,f1494]) ).
fof(f1496,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(n3)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f85,f1495]) ).
fof(f1497,plain,
( n7 != sum(sum(pred(sk0_0),succ(n3)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f134,f1496]) ).
fof(f1498,plain,
( n7 != sum(sum(pred(n3),succ(n3)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f215,f1497]) ).
fof(f1499,plain,
( n7 != sum(sum(n2,succ(n3)),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f18,f1498]) ).
fof(f1500,plain,
( n7 != sum(sum(n2,n4),n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f7,f1499]) ).
fof(f1501,plain,
( n7 != sum(n6,n1)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f52,f1500]) ).
fof(f1502,plain,
( n7 != n7
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f93,f1501]) ).
fof(f1503,plain,
( $false
| ~ spl0_3
| ~ spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f1502]) ).
fof(f1504,plain,
( ~ spl0_3
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1503]) ).
fof(f1518,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(f1519,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,f1518]) ).
fof(f1520,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,f1519]) ).
fof(f1521,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,f1520]) ).
fof(f1522,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,f1521]) ).
fof(f1523,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,f1522]) ).
fof(f1524,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,f1523]) ).
fof(f1525,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,f1524]) ).
fof(f1526,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,f1525]) ).
fof(f1537,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,f1526]) ).
fof(f1538,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,f1537]) ).
fof(f1539,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,f1538]) ).
fof(f1540,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,f1539]) ).
fof(f1541,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,f1540]) ).
fof(f1542,plain,
( sum(n8,n8) != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f74,f1541]) ).
fof(f1543,plain,
( n5 != sum(n6,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f122,f1542]) ).
fof(f1544,plain,
( n5 != sum(n6,sum(pred(n5),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f255,f1543]) ).
fof(f1545,plain,
( n5 != sum(n6,sum(n4,succ(sk0_1)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f20,f1544]) ).
fof(f1546,plain,
( n5 != sum(n6,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f255,f1545]) ).
fof(f1547,plain,
( n5 != sum(n6,sum(n4,n6))
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f9,f1546]) ).
fof(f1548,plain,
( n5 != sum(n6,n10)
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f76,f1547]) ).
fof(f1549,plain,
( n5 != n5
| ~ spl0_16
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f102,f1548]) ).
fof(f1550,plain,
( $false
| ~ spl0_16
| ~ spl0_3 ),
inference(trivial_equality_resolution,[status(esa)],[f1549]) ).
fof(f1551,plain,
( ~ spl0_16
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f1550]) ).
fof(f1552,plain,
( sum(sum(pred(n3),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f215,f993]) ).
fof(f1553,plain,
( sum(sum(n2,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f18,f1552]) ).
fof(f1554,plain,
( sum(n10,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f56,f1553]) ).
fof(f1555,plain,
( sum(n10,sum(n6,succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f215,f1554]) ).
fof(f1556,plain,
( sum(n10,sum(n6,n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f7,f1555]) ).
fof(f1557,plain,
( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f96,f1556]) ).
fof(f1558,plain,
( n9 != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f146,f1557]) ).
fof(f1559,plain,
( n9 != sum(sum(pred(n3),succ(sk0_0)),n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f215,f1558]) ).
fof(f1560,plain,
( n9 != sum(sum(n2,succ(sk0_0)),n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f18,f1559]) ).
fof(f1561,plain,
( n9 != sum(sum(n2,succ(n3)),n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f215,f1560]) ).
fof(f1562,plain,
( n9 != sum(sum(n2,n4),n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f7,f1561]) ).
fof(f1563,plain,
( n9 != sum(n6,n3)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f52,f1562]) ).
fof(f1564,plain,
( n9 != n9
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f95,f1563]) ).
fof(f1565,plain,
( $false
| ~ spl0_3
| ~ spl0_18 ),
inference(trivial_equality_resolution,[status(esa)],[f1564]) ).
fof(f1566,plain,
( ~ spl0_3
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f1565]) ).
fof(f1568,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f215,f1091]) ).
fof(f1569,plain,
( sum(sum(n2,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f18,f1568]) ).
fof(f1570,plain,
( sum(n6,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f52,f1569]) ).
fof(f1571,plain,
( sum(n6,sum(n2,succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f215,f1570]) ).
fof(f1572,plain,
( sum(n6,sum(n2,n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f7,f1571]) ).
fof(f1573,plain,
( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f52,f1572]) ).
fof(f1574,plain,
( n1 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f98,f1573]) ).
fof(f1575,plain,
( n1 != sum(sum(pred(n3),succ(sk0_0)),n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f215,f1574]) ).
fof(f1576,plain,
( n1 != sum(sum(n2,succ(sk0_0)),n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f18,f1575]) ).
fof(f1577,plain,
( n1 != sum(sum(n2,succ(n3)),n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f215,f1576]) ).
fof(f1578,plain,
( n1 != sum(sum(n2,n4),n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f7,f1577]) ).
fof(f1579,plain,
( n1 != sum(n6,n6)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f52,f1578]) ).
fof(f1580,plain,
( n1 != n1
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f98,f1579]) ).
fof(f1581,plain,
( $false
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f1580]) ).
fof(f1582,plain,
( ~ spl0_3
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f1581]) ).
fof(f1583,plain,
( sum(sum(pred(n3),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f215,f1041]) ).
fof(f1584,plain,
( sum(sum(n2,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f18,f1583]) ).
fof(f1585,plain,
( sum(n7,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f53,f1584]) ).
fof(f1586,plain,
( sum(n7,sum(n3,succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f215,f1585]) ).
fof(f1587,plain,
( sum(n7,sum(n3,n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f7,f1586]) ).
fof(f1588,plain,
( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f63,f1587]) ).
fof(f1589,plain,
( n3 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f110,f1588]) ).
fof(f1590,plain,
( n3 != sum(sum(pred(n3),succ(sk0_0)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f215,f1589]) ).
fof(f1591,plain,
( n3 != sum(sum(n2,succ(sk0_0)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f18,f1590]) ).
fof(f1592,plain,
( n3 != sum(sum(n2,succ(n3)),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f215,f1591]) ).
fof(f1593,plain,
( n3 != sum(sum(n2,n4),n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f7,f1592]) ).
fof(f1594,plain,
( n3 != sum(n6,n8)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f52,f1593]) ).
fof(f1595,plain,
( n3 != n3
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f100,f1594]) ).
fof(f1596,plain,
( $false
| ~ spl0_3
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f1595]) ).
fof(f1597,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1596]) ).
fof(f1598,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,f1128]) ).
fof(f1599,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,f1598]) ).
fof(f1600,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,f1599]) ).
fof(f1601,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,f1600]) ).
fof(f1602,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,f1601]) ).
fof(f1603,plain,
( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f118,f1602]) ).
fof(f1604,plain,
( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f38,f1603]) ).
fof(f1605,plain,
( n2 != sum(sum(pred(n3),succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f215,f1604]) ).
fof(f1606,plain,
( n2 != sum(sum(n2,succ(sk0_0)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f18,f1605]) ).
fof(f1607,plain,
( n2 != sum(sum(n2,succ(n3)),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f215,f1606]) ).
fof(f1608,plain,
( n2 != sum(sum(n2,n4),n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f7,f1607]) ).
fof(f1609,plain,
( n2 != sum(n6,n7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f52,f1608]) ).
fof(f1610,plain,
( n2 != n2
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f99,f1609]) ).
fof(f1611,plain,
( $false
| ~ spl0_3
| ~ spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f1610]) ).
fof(f1612,plain,
( ~ spl0_3
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1611]) ).
fof(f1621,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(f1622,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,f1621]) ).
fof(f1623,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,f1622]) ).
fof(f1624,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,f1623]) ).
fof(f1625,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,f1624]) ).
fof(f1626,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,f1625]) ).
fof(f1627,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,f1626]) ).
fof(f1628,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,f1627]) ).
fof(f1629,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,f1628]) ).
fof(f1641,plain,
( sum(sum(pred(n8),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f230,f1222]) ).
fof(f1642,plain,
( sum(sum(n7,n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f23,f1641]) ).
fof(f1643,plain,
( sum(n8,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f104,f1642]) ).
fof(f1644,plain,
( sum(n8,sum(n10,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f230,f1643]) ).
fof(f1645,plain,
( sum(n8,sum(n10,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f12,f1644]) ).
fof(f1646,plain,
( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f145,f1645]) ).
fof(f1647,plain,
( n5 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f122,f1646]) ).
fof(f1648,plain,
( n5 != sum(sum(pred(n8),succ(sk0_0)),n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f230,f1647]) ).
fof(f1649,plain,
( n5 != sum(sum(n7,succ(sk0_0)),n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f23,f1648]) ).
fof(f1650,plain,
( n5 != sum(sum(n7,succ(n8)),n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f230,f1649]) ).
fof(f1651,plain,
( n5 != sum(sum(n7,n9),n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f12,f1650]) ).
fof(f1652,plain,
( n5 != sum(n5,n0)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f112,f1651]) ).
fof(f1653,plain,
( n5 != n5
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f81,f1652]) ).
fof(f1654,plain,
( $false
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_equality_resolution,[status(esa)],[f1653]) ).
fof(f1655,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1654]) ).
fof(f1656,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f221,f149]) ).
fof(f1657,plain,
( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f1656]) ).
fof(f1658,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f1657]) ).
fof(f1659,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f1658]) ).
fof(f1660,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f1659]) ).
fof(f1661,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f1660]) ).
fof(f1662,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)],[f20,f1661]) ).
fof(f1663,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,f1662]) ).
fof(f1664,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,f1663]) ).
fof(f1682,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n1)))
| ~ spl0_12
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f243,f382]) ).
fof(f1683,plain,
( sum(sum(n4,succ(n1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n1)))
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f243,f1682]) ).
fof(f1684,plain,
( sum(sum(n4,n2),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n1)))
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f5,f1683]) ).
fof(f1685,plain,
( sum(n6,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n1)))
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f72,f1684]) ).
fof(f1686,plain,
( sum(n6,sum(pred(n1),n6)) != sum(n10,sum(pred(sk0_1),succ(n1)))
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f243,f1685]) ).
fof(f1687,plain,
( sum(n6,sum(n0,n6)) != sum(n10,sum(pred(sk0_1),succ(n1)))
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f16,f1686]) ).
fof(f1688,plain,
( sum(n6,n6) != sum(n10,sum(pred(sk0_1),succ(n1)))
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f32,f1687]) ).
fof(f1689,plain,
( n1 != sum(n10,sum(pred(sk0_1),succ(n1)))
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f98,f1688]) ).
fof(f1690,plain,
( n1 != sum(n10,sum(pred(n1),succ(n1)))
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f243,f1689]) ).
fof(f1691,plain,
( n1 != sum(n10,sum(n0,succ(n1)))
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f16,f1690]) ).
fof(f1692,plain,
( n1 != sum(n10,sum(n0,n2))
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f5,f1691]) ).
fof(f1693,plain,
( n1 != sum(n10,n2)
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f28,f1692]) ).
fof(f1694,plain,
( n1 != n1
| ~ spl0_12
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f138,f1693]) ).
fof(f1695,plain,
( $false
| ~ spl0_12
| ~ spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f1694]) ).
fof(f1696,plain,
( ~ spl0_12
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f1695]) ).
fof(f1713,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f149]) ).
fof(f1714,plain,
( sum(sum(pred(n2),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f1713]) ).
fof(f1715,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f1714]) ).
fof(f1716,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f1715]) ).
fof(f1717,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f1716]) ).
fof(f1718,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f1717]) ).
fof(f1719,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)],[f17,f1718]) ).
fof(f1720,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,f1719]) ).
fof(f1721,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,f1720]) ).
fof(f1727,plain,
( sum(sum(pred(n2),n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f212,f1379]) ).
fof(f1728,plain,
( sum(sum(n1,n0),sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f17,f1727]) ).
fof(f1729,plain,
( sum(n1,sum(n9,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f37,f1728]) ).
fof(f1730,plain,
( sum(n1,sum(n9,succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f212,f1729]) ).
fof(f1731,plain,
( sum(n1,sum(n9,n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f6,f1730]) ).
fof(f1732,plain,
( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f128,f1731]) ).
fof(f1733,plain,
( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f38,f1732]) ).
fof(f1734,plain,
( n2 != sum(sum(pred(n2),succ(sk0_0)),n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f212,f1733]) ).
fof(f1735,plain,
( n2 != sum(sum(n1,succ(sk0_0)),n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f17,f1734]) ).
fof(f1736,plain,
( n2 != sum(sum(n1,succ(n2)),n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f212,f1735]) ).
fof(f1737,plain,
( n2 != sum(sum(n1,n3),n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f6,f1736]) ).
fof(f1738,plain,
( n2 != sum(n4,n9)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f40,f1737]) ).
fof(f1739,plain,
( n2 != n2
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f79,f1738]) ).
fof(f1740,plain,
( $false
| ~ spl0_2
| ~ spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f1739]) ).
fof(f1741,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f1740]) ).
fof(f1747,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(f1748,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,f1747]) ).
fof(f1749,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,f1748]) ).
fof(f1750,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,f1749]) ).
fof(f1751,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,f1750]) ).
fof(f1752,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,f1751]) ).
fof(f1753,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,f1752]) ).
fof(f1754,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,f1753]) ).
fof(f1755,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,f1754]) ).
fof(f1772,plain,
( sum(sum(pred(n3),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f215,f1258]) ).
fof(f1773,plain,
( sum(sum(n2,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f18,f1772]) ).
fof(f1774,plain,
( sum(n4,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f50,f1773]) ).
fof(f1775,plain,
( sum(n4,sum(n0,succ(n3))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f215,f1774]) ).
fof(f1776,plain,
( sum(n4,sum(n0,n4)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f7,f1775]) ).
fof(f1777,plain,
( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f30,f1776]) ).
fof(f1778,plain,
( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f74,f1777]) ).
fof(f1779,plain,
( n8 != sum(sum(pred(n3),succ(sk0_0)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f215,f1778]) ).
fof(f1780,plain,
( n8 != sum(sum(n2,succ(sk0_0)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f18,f1779]) ).
fof(f1781,plain,
( n8 != sum(sum(n2,succ(n3)),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f215,f1780]) ).
fof(f1782,plain,
( n8 != sum(sum(n2,n4),n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f7,f1781]) ).
fof(f1783,plain,
( n8 != sum(n6,n2)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f52,f1782]) ).
fof(f1784,plain,
( n8 != n8
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f94,f1783]) ).
fof(f1785,plain,
( $false
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f1784]) ).
fof(f1786,plain,
( ~ spl0_3
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1785]) ).
fof(f1787,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(f1788,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,f1787]) ).
fof(f1789,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,f1788]) ).
fof(f1790,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,f1789]) ).
fof(f1791,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,f1790]) ).
fof(f1792,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,f1791]) ).
fof(f1793,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,f1792]) ).
fof(f1794,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,f1793]) ).
fof(f1795,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,f1794]) ).
fof(f1796,plain,
( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f230,f1413]) ).
fof(f1797,plain,
( sum(sum(pred(n8),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f230,f1796]) ).
fof(f1798,plain,
( sum(sum(n7,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f23,f1797]) ).
fof(f1799,plain,
( sum(n10,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f106,f1798]) ).
fof(f1800,plain,
( sum(n10,sum(n1,succ(n8))) != sum(sum(pred(sk0_0),succ(n8)),n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f230,f1799]) ).
fof(f1801,plain,
( sum(n10,sum(n1,n9)) != sum(sum(pred(sk0_0),succ(n8)),n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f12,f1800]) ).
fof(f1802,plain,
( sum(n10,n10) != sum(sum(pred(sk0_0),succ(n8)),n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f46,f1801]) ).
fof(f1803,plain,
( n9 != sum(sum(pred(sk0_0),succ(n8)),n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f146,f1802]) ).
fof(f1804,plain,
( n9 != sum(sum(pred(n8),succ(n8)),n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f230,f1803]) ).
fof(f1805,plain,
( n9 != sum(sum(n7,succ(n8)),n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f23,f1804]) ).
fof(f1806,plain,
( n9 != sum(sum(n7,n9),n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f12,f1805]) ).
fof(f1807,plain,
( n9 != sum(n5,n4)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f112,f1806]) ).
fof(f1808,plain,
( n9 != n9
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f85,f1807]) ).
fof(f1809,plain,
( $false
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_equality_resolution,[status(esa)],[f1808]) ).
fof(f1810,plain,
( ~ spl0_8
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f1809]) ).
fof(f1819,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(f1820,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,f1819]) ).
fof(f1821,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,f1820]) ).
fof(f1822,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,f1821]) ).
fof(f1823,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,f1822]) ).
fof(f1824,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,f1823]) ).
fof(f1825,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,f1824]) ).
fof(f1826,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,f1825]) ).
fof(f1827,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,f1826]) ).
fof(f1839,plain,
( sum(sum(pred(n4),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f218,f958]) ).
fof(f1840,plain,
( sum(sum(n3,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f19,f1839]) ).
fof(f1841,plain,
( sum(n10,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f66,f1840]) ).
fof(f1842,plain,
( sum(n10,sum(n5,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f218,f1841]) ).
fof(f1843,plain,
( sum(n10,sum(n5,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f8,f1842]) ).
fof(f1844,plain,
( sum(n10,n10) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f86,f1843]) ).
fof(f1845,plain,
( n9 != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f146,f1844]) ).
fof(f1846,plain,
( n9 != sum(sum(pred(n4),succ(sk0_0)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f218,f1845]) ).
fof(f1847,plain,
( n9 != sum(sum(n3,succ(sk0_0)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f19,f1846]) ).
fof(f1848,plain,
( n9 != sum(sum(n3,succ(n4)),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f218,f1847]) ).
fof(f1849,plain,
( n9 != sum(sum(n3,n5),n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f8,f1848]) ).
fof(f1850,plain,
( n9 != sum(n8,n1)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f64,f1849]) ).
fof(f1851,plain,
( n9 != n9
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f115,f1850]) ).
fof(f1852,plain,
( $false
| ~ spl0_4
| ~ spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f1851]) ).
fof(f1853,plain,
( ~ spl0_4
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1852]) ).
fof(f1867,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f224,f1465]) ).
fof(f1868,plain,
( sum(sum(pred(n6),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f224,f1867]) ).
fof(f1869,plain,
( sum(sum(n5,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f21,f1868]) ).
fof(f1870,plain,
( sum(n1,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f88,f1869]) ).
fof(f1871,plain,
( sum(n1,sum(n5,succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f224,f1870]) ).
fof(f1872,plain,
( sum(n1,sum(n5,n7)) != sum(sum(pred(sk0_0),succ(n6)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f10,f1871]) ).
fof(f1873,plain,
( sum(n1,n1) != sum(sum(pred(sk0_0),succ(n6)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f88,f1872]) ).
fof(f1874,plain,
( n2 != sum(sum(pred(sk0_0),succ(n6)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f38,f1873]) ).
fof(f1875,plain,
( n2 != sum(sum(pred(n6),succ(n6)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f224,f1874]) ).
fof(f1876,plain,
( n2 != sum(sum(n5,succ(n6)),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f21,f1875]) ).
fof(f1877,plain,
( n2 != sum(sum(n5,n7),n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f10,f1876]) ).
fof(f1878,plain,
( n2 != sum(n1,n1)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f88,f1877]) ).
fof(f1879,plain,
( n2 != n2
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f38,f1878]) ).
fof(f1880,plain,
( $false
| ~ spl0_6
| ~ spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f1879]) ).
fof(f1881,plain,
( ~ spl0_6
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1880]) ).
fof(f1882,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,f395]) ).
fof(f1883,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,f1882]) ).
fof(f1884,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,f1883]) ).
fof(f1885,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,f1884]) ).
fof(f1886,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,f1885]) ).
fof(f1887,plain,
( sum(n7,n7) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f83,f1886]) ).
fof(f1888,plain,
( n3 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f110,f1887]) ).
fof(f1889,plain,
( n3 != sum(n2,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f258,f1888]) ).
fof(f1890,plain,
( n3 != sum(n2,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f21,f1889]) ).
fof(f1891,plain,
( n3 != sum(n2,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f258,f1890]) ).
fof(f1892,plain,
( n3 != sum(n2,sum(n5,n7))
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f10,f1891]) ).
fof(f1893,plain,
( n3 != sum(n2,n1)
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f88,f1892]) ).
fof(f1894,plain,
( n3 != n3
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f49,f1893]) ).
fof(f1895,plain,
( $false
| ~ spl0_17
| ~ spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1894]) ).
fof(f1896,plain,
( ~ spl0_17
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f1895]) ).
fof(f1911,plain,
( sum(sum(pred(n10),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f236,f1465]) ).
fof(f1912,plain,
( sum(sum(n9,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f25,f1911]) ).
fof(f1913,plain,
( sum(n5,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f132,f1912]) ).
fof(f1914,plain,
( sum(n5,sum(n5,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f236,f1913]) ).
fof(f1915,plain,
( sum(n5,sum(n5,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f14,f1914]) ).
fof(f1916,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f81,f1915]) ).
fof(f1917,plain,
( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f86,f1916]) ).
fof(f1918,plain,
( n10 != sum(sum(pred(n10),succ(sk0_0)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f236,f1917]) ).
fof(f1919,plain,
( n10 != sum(sum(n9,succ(sk0_0)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f25,f1918]) ).
fof(f1920,plain,
( n10 != sum(sum(n9,succ(n10)),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f236,f1919]) ).
fof(f1921,plain,
( n10 != sum(sum(n9,n0),n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f14,f1920]) ).
fof(f1922,plain,
( n10 != sum(n9,n1)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f125,f1921]) ).
fof(f1923,plain,
( n10 != n10
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f126,f1922]) ).
fof(f1924,plain,
( $false
| ~ spl0_10
| ~ spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f1923]) ).
fof(f1925,plain,
( ~ spl0_10
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1924]) ).
fof(f1928,plain,
( sum(sum(pred(sk0_0),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f230,f1465]) ).
fof(f1929,plain,
( sum(sum(pred(n8),n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f230,f1928]) ).
fof(f1930,plain,
( sum(sum(n7,n7),sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f23,f1929]) ).
fof(f1931,plain,
( sum(n3,sum(n5,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f110,f1930]) ).
fof(f1932,plain,
( sum(n3,sum(n5,succ(n8))) != sum(sum(pred(sk0_0),succ(n8)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f230,f1931]) ).
fof(f1933,plain,
( sum(n3,sum(n5,n9)) != sum(sum(pred(sk0_0),succ(n8)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f12,f1932]) ).
fof(f1934,plain,
( sum(n3,n3) != sum(sum(pred(sk0_0),succ(n8)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f90,f1933]) ).
fof(f1935,plain,
( n6 != sum(sum(pred(sk0_0),succ(n8)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f62,f1934]) ).
fof(f1936,plain,
( n6 != sum(sum(pred(n8),succ(n8)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f230,f1935]) ).
fof(f1937,plain,
( n6 != sum(sum(n7,succ(n8)),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f23,f1936]) ).
fof(f1938,plain,
( n6 != sum(sum(n7,n9),n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f12,f1937]) ).
fof(f1939,plain,
( n6 != sum(n5,n1)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f112,f1938]) ).
fof(f1940,plain,
( n6 != n6
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f82,f1939]) ).
fof(f1941,plain,
( $false
| ~ spl0_8
| ~ spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f1940]) ).
fof(f1942,plain,
( ~ spl0_8
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1941]) ).
fof(f1943,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(f1944,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,f1943]) ).
fof(f1945,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,f1944]) ).
fof(f1946,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,f1945]) ).
fof(f1947,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,f1946]) ).
fof(f1948,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,f1947]) ).
fof(f1949,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,f1948]) ).
fof(f1950,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,f1949]) ).
fof(f1951,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,f1950]) ).
fof(f1971,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,f1951]) ).
fof(f1972,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,f1971]) ).
fof(f1973,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,f1972]) ).
fof(f1974,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,f1973]) ).
fof(f1975,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,f1974]) ).
fof(f1976,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f71,f1975]) ).
fof(f1977,plain,
( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f86,f1976]) ).
fof(f1978,plain,
( n10 != sum(sum(pred(n0),succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f206,f1977]) ).
fof(f1979,plain,
( n10 != sum(sum(n10,succ(sk0_0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f15,f1978]) ).
fof(f1980,plain,
( n10 != sum(sum(n10,succ(n0)),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f206,f1979]) ).
fof(f1981,plain,
( n10 != sum(sum(n10,n1),n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f4,f1980]) ).
fof(f1982,plain,
( n10 != sum(n0,n10)
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f137,f1981]) ).
fof(f1983,plain,
( n10 != n10
| ~ spl0_0
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f36,f1982]) ).
fof(f1984,plain,
( $false
| ~ spl0_0
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f1983]) ).
fof(f1985,plain,
( ~ spl0_0
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f1984]) ).
fof(f1995,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,f993]) ).
fof(f1996,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,f1995]) ).
fof(f1997,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,f1996]) ).
fof(f1998,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,f1997]) ).
fof(f1999,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,f1998]) ).
fof(f2000,plain,
( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f93,f1999]) ).
fof(f2001,plain,
( n3 != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f110,f2000]) ).
fof(f2002,plain,
( n3 != sum(sum(pred(n0),succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f206,f2001]) ).
fof(f2003,plain,
( n3 != sum(sum(n10,succ(sk0_0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f15,f2002]) ).
fof(f2004,plain,
( n3 != sum(sum(n10,succ(n0)),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f206,f2003]) ).
fof(f2005,plain,
( n3 != sum(sum(n10,n1),n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f4,f2004]) ).
fof(f2006,plain,
( n3 != sum(n0,n3)
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f137,f2005]) ).
fof(f2007,plain,
( n3 != n3
| ~ spl0_0
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f29,f2006]) ).
fof(f2008,plain,
( $false
| ~ spl0_0
| ~ spl0_18 ),
inference(trivial_equality_resolution,[status(esa)],[f2007]) ).
fof(f2009,plain,
( ~ spl0_0
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2008]) ).
fof(f2019,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(f2020,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,f2019]) ).
fof(f2021,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,f2020]) ).
fof(f2022,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,f2021]) ).
fof(f2023,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,f2022]) ).
fof(f2024,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,f2023]) ).
fof(f2025,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,f2024]) ).
fof(f2026,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,f2025]) ).
fof(f2027,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,f2026]) ).
fof(f2038,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,f739]) ).
fof(f2039,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,f2038]) ).
fof(f2040,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,f2039]) ).
fof(f2041,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,f2040]) ).
fof(f2042,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,f2041]) ).
fof(f2043,plain,
( sum(n6,n6) != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f113,f2042]) ).
fof(f2044,plain,
( n1 != sum(n7,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f98,f2043]) ).
fof(f2045,plain,
( n1 != sum(n7,sum(pred(n8),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f264,f2044]) ).
fof(f2046,plain,
( n1 != sum(n7,sum(n7,succ(sk0_1)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f23,f2045]) ).
fof(f2047,plain,
( n1 != sum(n7,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f264,f2046]) ).
fof(f2048,plain,
( n1 != sum(n7,sum(n7,n9))
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f12,f2047]) ).
fof(f2049,plain,
( n1 != sum(n7,n5)
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f112,f2048]) ).
fof(f2050,plain,
( n1 != n1
| ~ spl0_19
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f108,f2049]) ).
fof(f2051,plain,
( $false
| ~ spl0_19
| ~ spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f2050]) ).
fof(f2052,plain,
( ~ spl0_19
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f2051]) ).
fof(f2064,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(f2065,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,f2064]) ).
fof(f2066,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,f2065]) ).
fof(f2067,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,f2066]) ).
fof(f2068,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,f2067]) ).
fof(f2069,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,f2068]) ).
fof(f2070,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,f2069]) ).
fof(f2071,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,f2070]) ).
fof(f2072,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,f2071]) ).
fof(f2073,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f206,f1091]) ).
fof(f2074,plain,
( sum(sum(pred(n0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f206,f2073]) ).
fof(f2075,plain,
( sum(sum(n10,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f15,f2074]) ).
fof(f2076,plain,
( sum(n3,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f140,f2075]) ).
fof(f2077,plain,
( sum(n3,sum(n2,succ(n0))) != sum(sum(pred(sk0_0),succ(n0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f206,f2076]) ).
fof(f2078,plain,
( sum(n3,sum(n2,n1)) != sum(sum(pred(sk0_0),succ(n0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f4,f2077]) ).
fof(f2079,plain,
( sum(n3,n3) != sum(sum(pred(sk0_0),succ(n0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f49,f2078]) ).
fof(f2080,plain,
( n6 != sum(sum(pred(sk0_0),succ(n0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f62,f2079]) ).
fof(f2081,plain,
( n6 != sum(sum(pred(n0),succ(n0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f206,f2080]) ).
fof(f2082,plain,
( n6 != sum(sum(n10,succ(n0)),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f15,f2081]) ).
fof(f2083,plain,
( n6 != sum(sum(n10,n1),n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f4,f2082]) ).
fof(f2084,plain,
( n6 != sum(n0,n6)
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f137,f2083]) ).
fof(f2085,plain,
( n6 != n6
| ~ spl0_0
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f32,f2084]) ).
fof(f2086,plain,
( $false
| ~ spl0_0
| ~ spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f2085]) ).
fof(f2087,plain,
( ~ spl0_0
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f2086]) ).
fof(f2089,plain,
( sum(sum(pred(n0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f206,f1041]) ).
fof(f2090,plain,
( sum(sum(n10,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f15,f2089]) ).
fof(f2091,plain,
( sum(n4,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f141,f2090]) ).
fof(f2092,plain,
( sum(n4,sum(n3,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f206,f2091]) ).
fof(f2093,plain,
( sum(n4,sum(n3,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f4,f2092]) ).
fof(f2094,plain,
( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f60,f2093]) ).
fof(f2095,plain,
( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f74,f2094]) ).
fof(f2096,plain,
( n8 != sum(sum(pred(n0),succ(sk0_0)),n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f206,f2095]) ).
fof(f2097,plain,
( n8 != sum(sum(n10,succ(sk0_0)),n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f15,f2096]) ).
fof(f2098,plain,
( n8 != sum(sum(n10,succ(n0)),n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f206,f2097]) ).
fof(f2099,plain,
( n8 != sum(sum(n10,n1),n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f4,f2098]) ).
fof(f2100,plain,
( n8 != sum(n0,n8)
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f137,f2099]) ).
fof(f2101,plain,
( n8 != n8
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f34,f2100]) ).
fof(f2102,plain,
( $false
| ~ spl0_0
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f2101]) ).
fof(f2103,plain,
( ~ spl0_0
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f2102]) ).
fof(f2113,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,f1128]) ).
fof(f2114,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,f2113]) ).
fof(f2115,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,f2114]) ).
fof(f2116,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,f2115]) ).
fof(f2117,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,f2116]) ).
fof(f2118,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f115,f2117]) ).
fof(f2119,plain,
( n7 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f134,f2118]) ).
fof(f2120,plain,
( n7 != sum(sum(pred(n0),succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f206,f2119]) ).
fof(f2121,plain,
( n7 != sum(sum(n10,succ(sk0_0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f15,f2120]) ).
fof(f2122,plain,
( n7 != sum(sum(n10,succ(n0)),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f206,f2121]) ).
fof(f2123,plain,
( n7 != sum(sum(n10,n1),n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f4,f2122]) ).
fof(f2124,plain,
( n7 != sum(n0,n7)
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f137,f2123]) ).
fof(f2125,plain,
( n7 != n7
| ~ spl0_0
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f33,f2124]) ).
fof(f2126,plain,
( $false
| ~ spl0_0
| ~ spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f2125]) ).
fof(f2127,plain,
( ~ spl0_0
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f2126]) ).
fof(f2128,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f206,f412]) ).
fof(f2129,plain,
( sum(sum(n10,n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f15,f2128]) ).
fof(f2130,plain,
( sum(n0,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f137,f2129]) ).
fof(f2131,plain,
( sum(n0,sum(n10,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f206,f2130]) ).
fof(f2132,plain,
( sum(n0,sum(n10,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f4,f2131]) ).
fof(f2133,plain,
( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f137,f2132]) ).
fof(f2134,plain,
( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f26,f2133]) ).
fof(f2135,plain,
( n0 != sum(sum(pred(n0),succ(sk0_0)),n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f206,f2134]) ).
fof(f2136,plain,
( n0 != sum(sum(n10,succ(sk0_0)),n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f15,f2135]) ).
fof(f2137,plain,
( n0 != sum(sum(n10,succ(n0)),n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f206,f2136]) ).
fof(f2138,plain,
( n0 != sum(sum(n10,n1),n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f4,f2137]) ).
fof(f2139,plain,
( n0 != sum(n0,n0)
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f137,f2138]) ).
fof(f2140,plain,
( n0 != n0
| ~ spl0_0
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f26,f2139]) ).
fof(f2141,plain,
( $false
| ~ spl0_0
| ~ spl0_11 ),
inference(trivial_equality_resolution,[status(esa)],[f2140]) ).
fof(f2142,plain,
( ~ spl0_0
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f2141]) ).
fof(f2143,plain,
( sum(sum(pred(n0),n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f206,f1755]) ).
fof(f2144,plain,
( sum(sum(n10,n2),sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f15,f2143]) ).
fof(f2145,plain,
( sum(n1,sum(n0,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f138,f2144]) ).
fof(f2146,plain,
( sum(n1,sum(n0,succ(n0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f206,f2145]) ).
fof(f2147,plain,
( sum(n1,sum(n0,n1)) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f4,f2146]) ).
fof(f2148,plain,
( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f27,f2147]) ).
fof(f2149,plain,
( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f38,f2148]) ).
fof(f2150,plain,
( n2 != sum(sum(pred(n0),succ(sk0_0)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f206,f2149]) ).
fof(f2151,plain,
( n2 != sum(sum(n10,succ(sk0_0)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f15,f2150]) ).
fof(f2152,plain,
( n2 != sum(sum(n10,succ(n0)),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f206,f2151]) ).
fof(f2153,plain,
( n2 != sum(sum(n10,n1),n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f4,f2152]) ).
fof(f2154,plain,
( n2 != sum(n0,n2)
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f137,f2153]) ).
fof(f2155,plain,
( n2 != n2
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f28,f2154]) ).
fof(f2156,plain,
( $false
| ~ spl0_0
| ~ spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f2155]) ).
fof(f2157,plain,
( ~ spl0_0
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f2156]) ).
fof(f2187,plain,
( sum(sum(pred(n9),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f233,f1795]) ).
fof(f2188,plain,
( sum(sum(n8,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f24,f2187]) ).
fof(f2189,plain,
( sum(n0,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f117,f2188]) ).
fof(f2190,plain,
( sum(n0,sum(n1,succ(n9))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f233,f2189]) ).
fof(f2191,plain,
( sum(n0,sum(n1,n10)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f13,f2190]) ).
fof(f2192,plain,
( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f47,f2191]) ).
fof(f2193,plain,
( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f26,f2192]) ).
fof(f2194,plain,
( n0 != sum(sum(pred(n9),succ(sk0_0)),n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f233,f2193]) ).
fof(f2195,plain,
( n0 != sum(sum(n8,succ(sk0_0)),n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f24,f2194]) ).
fof(f2196,plain,
( n0 != sum(sum(n8,succ(n9)),n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f233,f2195]) ).
fof(f2197,plain,
( n0 != sum(sum(n8,n10),n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f13,f2196]) ).
fof(f2198,plain,
( n0 != sum(n7,n4)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f124,f2197]) ).
fof(f2199,plain,
( n0 != n0
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f107,f2198]) ).
fof(f2200,plain,
( $false
| ~ spl0_9
| ~ spl0_13 ),
inference(trivial_equality_resolution,[status(esa)],[f2199]) ).
fof(f2201,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f2200]) ).
fof(f2202,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(f2203,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,f2202]) ).
fof(f2204,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,f2203]) ).
fof(f2205,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,f2204]) ).
fof(f2206,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,f2205]) ).
fof(f2207,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,f2206]) ).
fof(f2208,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,f2207]) ).
fof(f2209,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,f2208]) ).
fof(f2210,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,f2209]) ).
fof(f2215,plain,
( sum(sum(n3,succ(sk0_1)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f270,f1827]) ).
fof(f2216,plain,
( sum(sum(n3,succ(n10)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f270,f2215]) ).
fof(f2217,plain,
( sum(sum(n3,n0),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f14,f2216]) ).
fof(f2218,plain,
( sum(n3,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f59,f2217]) ).
fof(f2219,plain,
( sum(n3,sum(pred(n10),n5)) != sum(n8,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f270,f2218]) ).
fof(f2220,plain,
( sum(n3,sum(n9,n5)) != sum(n8,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f25,f2219]) ).
fof(f2221,plain,
( sum(n3,n3) != sum(n8,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f130,f2220]) ).
fof(f2222,plain,
( n6 != sum(n8,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f62,f2221]) ).
fof(f2223,plain,
( n6 != sum(n8,sum(pred(n10),succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f270,f2222]) ).
fof(f2224,plain,
( n6 != sum(n8,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f25,f2223]) ).
fof(f2225,plain,
( n6 != sum(n8,sum(n9,n0))
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f14,f2224]) ).
fof(f2226,plain,
( n6 != sum(n8,n9)
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f125,f2225]) ).
fof(f2227,plain,
( n6 != n6
| ~ spl0_21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f123,f2226]) ).
fof(f2228,plain,
( $false
| ~ spl0_21
| ~ spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f2227]) ).
fof(f2229,plain,
( ~ spl0_21
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f2228]) ).
fof(f2239,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f221,f149]) ).
fof(f2240,plain,
( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f2239]) ).
fof(f2241,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f2240]) ).
fof(f2242,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f2241]) ).
fof(f2243,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f2242]) ).
fof(f2244,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f2243]) ).
fof(f2245,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)],[f20,f2244]) ).
fof(f2246,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,f2245]) ).
fof(f2247,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,f2246]) ).
fof(f2254,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,f1664]) ).
fof(f2255,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,f2254]) ).
fof(f2256,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,f2255]) ).
fof(f2257,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,f2256]) ).
fof(f2258,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,f2257]) ).
fof(f2259,plain,
( sum(n0,n0) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f87,f2258]) ).
fof(f2260,plain,
( n0 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f26,f2259]) ).
fof(f2261,plain,
( n0 != sum(n10,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f258,f2260]) ).
fof(f2262,plain,
( n0 != sum(n10,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f21,f2261]) ).
fof(f2263,plain,
( n0 != sum(n10,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f258,f2262]) ).
fof(f2264,plain,
( n0 != sum(n10,sum(n5,n7))
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f10,f2263]) ).
fof(f2265,plain,
( n0 != sum(n10,n1)
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f88,f2264]) ).
fof(f2266,plain,
( n0 != n0
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f137,f2265]) ).
fof(f2267,plain,
( $false
| ~ spl0_17
| ~ spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f2266]) ).
fof(f2268,plain,
( ~ spl0_17
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f2267]) ).
fof(f2278,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,f1721]) ).
fof(f2279,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,f2278]) ).
fof(f2280,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,f2279]) ).
fof(f2281,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,f2280]) ).
fof(f2282,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,f2281]) ).
fof(f2283,plain,
( sum(n8,n8) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f84,f2282]) ).
fof(f2284,plain,
( n5 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f122,f2283]) ).
fof(f2285,plain,
( n5 != sum(n4,sum(pred(n6),succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f258,f2284]) ).
fof(f2286,plain,
( n5 != sum(n4,sum(n5,succ(sk0_1)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f21,f2285]) ).
fof(f2287,plain,
( n5 != sum(n4,sum(n5,succ(n6)))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f258,f2286]) ).
fof(f2288,plain,
( n5 != sum(n4,sum(n5,n7))
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f10,f2287]) ).
fof(f2289,plain,
( n5 != sum(n4,n1)
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f88,f2288]) ).
fof(f2290,plain,
( n5 != n5
| ~ spl0_17
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f71,f2289]) ).
fof(f2291,plain,
( $false
| ~ spl0_17
| ~ spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f2290]) ).
fof(f2292,plain,
( ~ spl0_17
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f2291]) ).
fof(f2305,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(f2306,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,f2305]) ).
fof(f2307,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,f2306]) ).
fof(f2308,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,f2307]) ).
fof(f2309,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,f2308]) ).
fof(f2310,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,f2309]) ).
fof(f2311,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,f2310]) ).
fof(f2312,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,f2311]) ).
fof(f2313,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,f2312]) ).
fof(f2328,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,f1951]) ).
fof(f2329,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,f2328]) ).
fof(f2330,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,f2329]) ).
fof(f2331,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,f2330]) ).
fof(f2332,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,f2331]) ).
fof(f2333,plain,
( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f77,f2332]) ).
fof(f2334,plain,
( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f26,f2333]) ).
fof(f2335,plain,
( n0 != sum(sum(pred(n6),succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f224,f2334]) ).
fof(f2336,plain,
( n0 != sum(sum(n5,succ(sk0_0)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f21,f2335]) ).
fof(f2337,plain,
( n0 != sum(sum(n5,succ(n6)),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f224,f2336]) ).
fof(f2338,plain,
( n0 != sum(sum(n5,n7),n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f10,f2337]) ).
fof(f2339,plain,
( n0 != sum(n1,n10)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f88,f2338]) ).
fof(f2340,plain,
( n0 != n0
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f47,f2339]) ).
fof(f2341,plain,
( $false
| ~ spl0_6
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f2340]) ).
fof(f2342,plain,
( ~ spl0_6
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2341]) ).
fof(f2353,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(f2354,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,f2353]) ).
fof(f2355,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,f2354]) ).
fof(f2356,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,f2355]) ).
fof(f2357,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,f2356]) ).
fof(f2358,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,f2357]) ).
fof(f2359,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,f2358]) ).
fof(f2360,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,f2359]) ).
fof(f2361,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,f2360]) ).
fof(f2362,plain,
( sum(sum(pred(sk0_0),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f236,f993]) ).
fof(f2363,plain,
( sum(sum(pred(n10),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f236,f2362]) ).
fof(f2364,plain,
( sum(sum(n9,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f25,f2363]) ).
fof(f2365,plain,
( sum(n6,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f133,f2364]) ).
fof(f2366,plain,
( sum(n6,sum(n6,succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f236,f2365]) ).
fof(f2367,plain,
( sum(n6,sum(n6,n0)) != sum(sum(pred(sk0_0),succ(n10)),n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f14,f2366]) ).
fof(f2368,plain,
( sum(n6,n6) != sum(sum(pred(sk0_0),succ(n10)),n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f92,f2367]) ).
fof(f2369,plain,
( n1 != sum(sum(pred(sk0_0),succ(n10)),n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f98,f2368]) ).
fof(f2370,plain,
( n1 != sum(sum(pred(n10),succ(n10)),n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f236,f2369]) ).
fof(f2371,plain,
( n1 != sum(sum(n9,succ(n10)),n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f25,f2370]) ).
fof(f2372,plain,
( n1 != sum(sum(n9,n0),n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f14,f2371]) ).
fof(f2373,plain,
( n1 != sum(n9,n3)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f125,f2372]) ).
fof(f2374,plain,
( n1 != n1
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f128,f2373]) ).
fof(f2375,plain,
( $false
| ~ spl0_10
| ~ spl0_18 ),
inference(trivial_equality_resolution,[status(esa)],[f2374]) ).
fof(f2376,plain,
( ~ spl0_10
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2375]) ).
fof(f2377,plain,
( sum(sum(n0,succ(n7)),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f261,f395]) ).
fof(f2378,plain,
( sum(sum(n0,n8),sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f11,f2377]) ).
fof(f2379,plain,
( sum(n8,sum(pred(sk0_1),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f34,f2378]) ).
fof(f2380,plain,
( sum(n8,sum(pred(n7),n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f261,f2379]) ).
fof(f2381,plain,
( sum(n8,sum(n6,n2)) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f22,f2380]) ).
fof(f2382,plain,
( sum(n8,n8) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f94,f2381]) ).
fof(f2383,plain,
( n5 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f122,f2382]) ).
fof(f2384,plain,
( n5 != sum(n2,sum(pred(n7),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f261,f2383]) ).
fof(f2385,plain,
( n5 != sum(n2,sum(n6,succ(sk0_1)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f22,f2384]) ).
fof(f2386,plain,
( n5 != sum(n2,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f261,f2385]) ).
fof(f2387,plain,
( n5 != sum(n2,sum(n6,n8))
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f11,f2386]) ).
fof(f2388,plain,
( n5 != sum(n2,n3)
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f100,f2387]) ).
fof(f2389,plain,
( n5 != n5
| ~ spl0_18
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f51,f2388]) ).
fof(f2390,plain,
( $false
| ~ spl0_18
| ~ spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f2389]) ).
fof(f2391,plain,
( ~ spl0_18
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2390]) ).
fof(f2402,plain,
( sum(sum(pred(n6),n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f224,f2361]) ).
fof(f2403,plain,
( sum(sum(n5,n8),sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f21,f2402]) ).
fof(f2404,plain,
( sum(n2,sum(n6,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f89,f2403]) ).
fof(f2405,plain,
( sum(n2,sum(n6,succ(n6))) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f224,f2404]) ).
fof(f2406,plain,
( sum(n2,sum(n6,n7)) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f10,f2405]) ).
fof(f2407,plain,
( sum(n2,n2) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f99,f2406]) ).
fof(f2408,plain,
( n4 != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f50,f2407]) ).
fof(f2409,plain,
( n4 != sum(sum(pred(n6),succ(sk0_0)),n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f224,f2408]) ).
fof(f2410,plain,
( n4 != sum(sum(n5,succ(sk0_0)),n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f21,f2409]) ).
fof(f2411,plain,
( n4 != sum(sum(n5,succ(n6)),n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f224,f2410]) ).
fof(f2412,plain,
( n4 != sum(sum(n5,n7),n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f10,f2411]) ).
fof(f2413,plain,
( n4 != sum(n1,n3)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f88,f2412]) ).
fof(f2414,plain,
( n4 != n4
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f40,f2413]) ).
fof(f2415,plain,
( $false
| ~ spl0_6
| ~ spl0_18 ),
inference(trivial_equality_resolution,[status(esa)],[f2414]) ).
fof(f2416,plain,
( ~ spl0_6
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2415]) ).
fof(f2435,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,f993]) ).
fof(f2436,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,f2435]) ).
fof(f2437,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,f2436]) ).
fof(f2438,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,f2437]) ).
fof(f2439,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,f2438]) ).
fof(f2440,plain,
( sum(n4,n4) != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f101,f2439]) ).
fof(f2441,plain,
( n8 != sum(sum(pred(sk0_0),succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f74,f2440]) ).
fof(f2442,plain,
( n8 != sum(sum(pred(n8),succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f230,f2441]) ).
fof(f2443,plain,
( n8 != sum(sum(n7,succ(sk0_0)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f23,f2442]) ).
fof(f2444,plain,
( n8 != sum(sum(n7,succ(n8)),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f230,f2443]) ).
fof(f2445,plain,
( n8 != sum(sum(n7,n9),n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f12,f2444]) ).
fof(f2446,plain,
( n8 != sum(n5,n3)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f112,f2445]) ).
fof(f2447,plain,
( n8 != n8
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f84,f2446]) ).
fof(f2448,plain,
( $false
| ~ spl0_8
| ~ spl0_18 ),
inference(trivial_equality_resolution,[status(esa)],[f2447]) ).
fof(f2449,plain,
( ~ spl0_8
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2448]) ).
fof(f2450,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(f2451,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,f2450]) ).
fof(f2452,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,f2451]) ).
fof(f2453,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,f2452]) ).
fof(f2454,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,f2453]) ).
fof(f2455,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,f2454]) ).
fof(f2456,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,f2455]) ).
fof(f2457,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,f2456]) ).
fof(f2458,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,f2457]) ).
fof(f2479,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f215,f2027]) ).
fof(f2480,plain,
( sum(sum(pred(n3),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f215,f2479]) ).
fof(f2481,plain,
( sum(sum(n2,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f18,f2480]) ).
fof(f2482,plain,
( sum(n0,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n3)),n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f57,f2481]) ).
fof(f2483,plain,
( sum(n0,sum(n7,succ(n3))) != sum(sum(pred(sk0_0),succ(n3)),n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f215,f2482]) ).
fof(f2484,plain,
( sum(n0,sum(n7,n4)) != sum(sum(pred(sk0_0),succ(n3)),n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f7,f2483]) ).
fof(f2485,plain,
( sum(n0,n0) != sum(sum(pred(sk0_0),succ(n3)),n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f107,f2484]) ).
fof(f2486,plain,
( n0 != sum(sum(pred(sk0_0),succ(n3)),n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f26,f2485]) ).
fof(f2487,plain,
( n0 != sum(sum(pred(n3),succ(n3)),n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f215,f2486]) ).
fof(f2488,plain,
( n0 != sum(sum(n2,succ(n3)),n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f18,f2487]) ).
fof(f2489,plain,
( n0 != sum(sum(n2,n4),n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f7,f2488]) ).
fof(f2490,plain,
( n0 != sum(n6,n5)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f52,f2489]) ).
fof(f2491,plain,
( n0 != n0
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f97,f2490]) ).
fof(f2492,plain,
( $false
| ~ spl0_3
| ~ spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f2491]) ).
fof(f2493,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f2492]) ).
fof(f2504,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(f2505,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,f2504]) ).
fof(f2506,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,f2505]) ).
fof(f2507,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,f2506]) ).
fof(f2508,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,f2507]) ).
fof(f2509,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,f2508]) ).
fof(f2510,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,f2509]) ).
fof(f2511,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,f2510]) ).
fof(f2512,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,f2511]) ).
fof(f2523,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f233,f1629]) ).
fof(f2524,plain,
( sum(sum(pred(n9),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f233,f2523]) ).
fof(f2525,plain,
( sum(sum(n8,n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f24,f2524]) ).
fof(f2526,plain,
( sum(n9,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n9)),n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f115,f2525]) ).
fof(f2527,plain,
( sum(n9,sum(n10,succ(n9))) != sum(sum(pred(sk0_0),succ(n9)),n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f233,f2526]) ).
fof(f2528,plain,
( sum(n9,sum(n10,n10)) != sum(sum(pred(sk0_0),succ(n9)),n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f13,f2527]) ).
fof(f2529,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(n9)),n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f146,f2528]) ).
fof(f2530,plain,
( n7 != sum(sum(pred(sk0_0),succ(n9)),n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f134,f2529]) ).
fof(f2531,plain,
( n7 != sum(sum(pred(n9),succ(n9)),n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f233,f2530]) ).
fof(f2532,plain,
( n7 != sum(sum(n8,succ(n9)),n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f24,f2531]) ).
fof(f2533,plain,
( n7 != sum(sum(n8,n10),n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f13,f2532]) ).
fof(f2534,plain,
( n7 != sum(n7,n0)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f124,f2533]) ).
fof(f2535,plain,
( n7 != n7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f103,f2534]) ).
fof(f2536,plain,
( $false
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_equality_resolution,[status(esa)],[f2535]) ).
fof(f2537,plain,
( ~ spl0_9
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f2536]) ).
fof(f2538,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(f2539,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,f2538]) ).
fof(f2540,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,f2539]) ).
fof(f2541,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,f2540]) ).
fof(f2542,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,f2541]) ).
fof(f2543,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,f2542]) ).
fof(f2544,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,f2543]) ).
fof(f2545,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,f2544]) ).
fof(f2546,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,f2545]) ).
fof(f2557,plain,
( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f206,f1413]) ).
fof(f2558,plain,
( sum(sum(pred(n0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f206,f2557]) ).
fof(f2559,plain,
( sum(sum(n10,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f15,f2558]) ).
fof(f2560,plain,
( sum(n2,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f139,f2559]) ).
fof(f2561,plain,
( sum(n2,sum(n1,succ(n0))) != sum(sum(pred(sk0_0),succ(n0)),n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f206,f2560]) ).
fof(f2562,plain,
( sum(n2,sum(n1,n1)) != sum(sum(pred(sk0_0),succ(n0)),n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f4,f2561]) ).
fof(f2563,plain,
( sum(n2,n2) != sum(sum(pred(sk0_0),succ(n0)),n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f38,f2562]) ).
fof(f2564,plain,
( n4 != sum(sum(pred(sk0_0),succ(n0)),n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f50,f2563]) ).
fof(f2565,plain,
( n4 != sum(sum(pred(n0),succ(n0)),n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f206,f2564]) ).
fof(f2566,plain,
( n4 != sum(sum(n10,succ(n0)),n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f15,f2565]) ).
fof(f2567,plain,
( n4 != sum(sum(n10,n1),n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f4,f2566]) ).
fof(f2568,plain,
( n4 != sum(n0,n4)
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f137,f2567]) ).
fof(f2569,plain,
( n4 != n4
| ~ spl0_0
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f30,f2568]) ).
fof(f2570,plain,
( $false
| ~ spl0_0
| ~ spl0_13 ),
inference(trivial_equality_resolution,[status(esa)],[f2569]) ).
fof(f2571,plain,
( ~ spl0_0
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f2570]) ).
fof(f2601,plain,
( sum(sum(pred(n7),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f227,f2313]) ).
fof(f2602,plain,
( sum(sum(n6,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f22,f2601]) ).
fof(f2603,plain,
( sum(n1,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f98,f2602]) ).
fof(f2604,plain,
( sum(n1,sum(n4,succ(n7))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f227,f2603]) ).
fof(f2605,plain,
( sum(n1,sum(n4,n8)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f11,f2604]) ).
fof(f2606,plain,
( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f78,f2605]) ).
fof(f2607,plain,
( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f38,f2606]) ).
fof(f2608,plain,
( n2 != sum(sum(pred(n7),succ(sk0_0)),n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f227,f2607]) ).
fof(f2609,plain,
( n2 != sum(sum(n6,succ(sk0_0)),n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f22,f2608]) ).
fof(f2610,plain,
( n2 != sum(sum(n6,succ(n7)),n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f227,f2609]) ).
fof(f2611,plain,
( n2 != sum(sum(n6,n8),n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f11,f2610]) ).
fof(f2612,plain,
( n2 != sum(n3,n10)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f100,f2611]) ).
fof(f2613,plain,
( n2 != n2
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f69,f2612]) ).
fof(f2614,plain,
( $false
| ~ spl0_7
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f2613]) ).
fof(f2615,plain,
( ~ spl0_7
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2614]) ).
fof(f2616,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(f2617,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,f2616]) ).
fof(f2618,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,f2617]) ).
fof(f2619,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,f2618]) ).
fof(f2620,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,f2619]) ).
fof(f2621,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,f2620]) ).
fof(f2622,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,f2621]) ).
fof(f2623,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,f2622]) ).
fof(f2624,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,f2623]) ).
fof(f2635,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f236,f2072]) ).
fof(f2636,plain,
( sum(sum(pred(n10),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f236,f2635]) ).
fof(f2637,plain,
( sum(sum(n9,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f25,f2636]) ).
fof(f2638,plain,
( sum(n2,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f129,f2637]) ).
fof(f2639,plain,
( sum(n2,sum(n2,succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f236,f2638]) ).
fof(f2640,plain,
( sum(n2,sum(n2,n0)) != sum(sum(pred(sk0_0),succ(n10)),n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f14,f2639]) ).
fof(f2641,plain,
( sum(n2,n2) != sum(sum(pred(sk0_0),succ(n10)),n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f48,f2640]) ).
fof(f2642,plain,
( n4 != sum(sum(pred(sk0_0),succ(n10)),n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f50,f2641]) ).
fof(f2643,plain,
( n4 != sum(sum(pred(n10),succ(n10)),n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f236,f2642]) ).
fof(f2644,plain,
( n4 != sum(sum(n9,succ(n10)),n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f25,f2643]) ).
fof(f2645,plain,
( n4 != sum(sum(n9,n0),n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f14,f2644]) ).
fof(f2646,plain,
( n4 != sum(n9,n6)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f125,f2645]) ).
fof(f2647,plain,
( n4 != n4
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f131,f2646]) ).
fof(f2648,plain,
( $false
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f2647]) ).
fof(f2649,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f2648]) ).
fof(f2650,plain,
( sum(sum(pred(n10),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f236,f1041]) ).
fof(f2651,plain,
( sum(sum(n9,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f25,f2650]) ).
fof(f2652,plain,
( sum(n3,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f130,f2651]) ).
fof(f2653,plain,
( sum(n3,sum(n3,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f236,f2652]) ).
fof(f2654,plain,
( sum(n3,sum(n3,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f14,f2653]) ).
fof(f2655,plain,
( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f59,f2654]) ).
fof(f2656,plain,
( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f62,f2655]) ).
fof(f2657,plain,
( n6 != sum(sum(pred(n10),succ(sk0_0)),n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f236,f2656]) ).
fof(f2658,plain,
( n6 != sum(sum(n9,succ(sk0_0)),n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f25,f2657]) ).
fof(f2659,plain,
( n6 != sum(sum(n9,succ(n10)),n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f236,f2658]) ).
fof(f2660,plain,
( n6 != sum(sum(n9,n0),n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f14,f2659]) ).
fof(f2661,plain,
( n6 != sum(n9,n8)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f125,f2660]) ).
fof(f2662,plain,
( n6 != n6
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f133,f2661]) ).
fof(f2663,plain,
( $false
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f2662]) ).
fof(f2664,plain,
( ~ spl0_10
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f2663]) ).
fof(f2665,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(f2666,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,f2665]) ).
fof(f2667,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,f2666]) ).
fof(f2668,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,f2667]) ).
fof(f2669,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,f2668]) ).
fof(f2670,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,f2669]) ).
fof(f2671,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,f2670]) ).
fof(f2672,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,f2671]) ).
fof(f2673,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,f2672]) ).
fof(f2674,plain,
( sum(sum(pred(n10),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f236,f1128]) ).
fof(f2675,plain,
( sum(sum(n9,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f25,f2674]) ).
fof(f2676,plain,
( sum(n8,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f135,f2675]) ).
fof(f2677,plain,
( sum(n8,sum(n8,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f236,f2676]) ).
fof(f2678,plain,
( sum(n8,sum(n8,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f14,f2677]) ).
fof(f2679,plain,
( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f114,f2678]) ).
fof(f2680,plain,
( n5 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f122,f2679]) ).
fof(f2681,plain,
( n5 != sum(sum(pred(n10),succ(sk0_0)),n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f236,f2680]) ).
fof(f2682,plain,
( n5 != sum(sum(n9,succ(sk0_0)),n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f25,f2681]) ).
fof(f2683,plain,
( n5 != sum(sum(n9,succ(n10)),n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f236,f2682]) ).
fof(f2684,plain,
( n5 != sum(sum(n9,n0),n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f14,f2683]) ).
fof(f2685,plain,
( n5 != sum(n9,n7)
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f125,f2684]) ).
fof(f2686,plain,
( n5 != n5
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f132,f2685]) ).
fof(f2687,plain,
( $false
| ~ spl0_10
| ~ spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f2686]) ).
fof(f2688,plain,
( ~ spl0_10
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f2687]) ).
fof(f2698,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f149]) ).
fof(f2699,plain,
( sum(sum(pred(n2),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f2698]) ).
fof(f2700,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f2699]) ).
fof(f2701,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f2700]) ).
fof(f2702,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f2701]) ).
fof(f2703,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f2702]) ).
fof(f2704,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)],[f17,f2703]) ).
fof(f2705,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,f2704]) ).
fof(f2706,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,f2705]) ).
fof(f2718,plain,
( sum(sum(n1,succ(n7)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f261,f1721]) ).
fof(f2719,plain,
( sum(sum(n1,n8),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f11,f2718]) ).
fof(f2720,plain,
( sum(n9,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f45,f2719]) ).
fof(f2721,plain,
( sum(n9,sum(pred(n7),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f261,f2720]) ).
fof(f2722,plain,
( sum(n9,sum(n6,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f22,f2721]) ).
fof(f2723,plain,
( sum(n9,n9) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f95,f2722]) ).
fof(f2724,plain,
( n7 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f134,f2723]) ).
fof(f2725,plain,
( n7 != sum(n4,sum(pred(n7),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f261,f2724]) ).
fof(f2726,plain,
( n7 != sum(n4,sum(n6,succ(sk0_1)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f22,f2725]) ).
fof(f2727,plain,
( n7 != sum(n4,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f261,f2726]) ).
fof(f2728,plain,
( n7 != sum(n4,sum(n6,n8))
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f11,f2727]) ).
fof(f2729,plain,
( n7 != sum(n4,n3)
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f100,f2728]) ).
fof(f2730,plain,
( n7 != n7
| ~ spl0_18
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f73,f2729]) ).
fof(f2731,plain,
( $false
| ~ spl0_18
| ~ spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f2730]) ).
fof(f2732,plain,
( ~ spl0_18
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f2731]) ).
fof(f2733,plain,
( sum(sum(n3,succ(n7)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f261,f2210]) ).
fof(f2734,plain,
( sum(sum(n3,n8),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f11,f2733]) ).
fof(f2735,plain,
( sum(n0,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f67,f2734]) ).
fof(f2736,plain,
( sum(n0,sum(pred(n7),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f261,f2735]) ).
fof(f2737,plain,
( sum(n0,sum(n6,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f22,f2736]) ).
fof(f2738,plain,
( sum(n0,n0) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f97,f2737]) ).
fof(f2739,plain,
( n0 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f26,f2738]) ).
fof(f2740,plain,
( n0 != sum(n8,sum(pred(n7),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f261,f2739]) ).
fof(f2741,plain,
( n0 != sum(n8,sum(n6,succ(sk0_1)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f22,f2740]) ).
fof(f2742,plain,
( n0 != sum(n8,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f261,f2741]) ).
fof(f2743,plain,
( n0 != sum(n8,sum(n6,n8))
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f11,f2742]) ).
fof(f2744,plain,
( n0 != sum(n8,n3)
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f100,f2743]) ).
fof(f2745,plain,
( n0 != n0
| ~ spl0_18
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f117,f2744]) ).
fof(f2746,plain,
( $false
| ~ spl0_18
| ~ spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f2745]) ).
fof(f2747,plain,
( ~ spl0_18
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f2746]) ).
fof(f2757,plain,
( sum(sum(n4,succ(n7)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f261,f382]) ).
fof(f2758,plain,
( sum(sum(n4,n8),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f11,f2757]) ).
fof(f2759,plain,
( sum(n1,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f78,f2758]) ).
fof(f2760,plain,
( sum(n1,sum(pred(n7),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f261,f2759]) ).
fof(f2761,plain,
( sum(n1,sum(n6,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f22,f2760]) ).
fof(f2762,plain,
( sum(n1,n1) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f98,f2761]) ).
fof(f2763,plain,
( n2 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f38,f2762]) ).
fof(f2764,plain,
( n2 != sum(n10,sum(pred(n7),succ(sk0_1)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f261,f2763]) ).
fof(f2765,plain,
( n2 != sum(n10,sum(n6,succ(sk0_1)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f22,f2764]) ).
fof(f2766,plain,
( n2 != sum(n10,sum(n6,succ(n7)))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f261,f2765]) ).
fof(f2767,plain,
( n2 != sum(n10,sum(n6,n8))
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f11,f2766]) ).
fof(f2768,plain,
( n2 != sum(n10,n3)
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f100,f2767]) ).
fof(f2769,plain,
( n2 != n2
| ~ spl0_18
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f139,f2768]) ).
fof(f2770,plain,
( $false
| ~ spl0_18
| ~ spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f2769]) ).
fof(f2771,plain,
( ~ spl0_18
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f2770]) ).
fof(f2772,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(f2773,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,f2772]) ).
fof(f2774,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,f2773]) ).
fof(f2775,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,f2774]) ).
fof(f2776,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,f2775]) ).
fof(f2777,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,f2776]) ).
fof(f2778,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,f2777]) ).
fof(f2779,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,f2778]) ).
fof(f2780,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,f2779]) ).
fof(f2801,plain,
( sum(sum(pred(n10),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f236,f2458]) ).
fof(f2802,plain,
( sum(sum(n9,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f25,f2801]) ).
fof(f2803,plain,
( sum(n7,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f134,f2802]) ).
fof(f2804,plain,
( sum(n7,sum(n7,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f236,f2803]) ).
fof(f2805,plain,
( sum(n7,sum(n7,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f14,f2804]) ).
fof(f2806,plain,
( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f103,f2805]) ).
fof(f2807,plain,
( n3 != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f110,f2806]) ).
fof(f2808,plain,
( n3 != sum(sum(pred(n10),succ(sk0_0)),n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f236,f2807]) ).
fof(f2809,plain,
( n3 != sum(sum(n9,succ(sk0_0)),n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f25,f2808]) ).
fof(f2810,plain,
( n3 != sum(sum(n9,succ(n10)),n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f236,f2809]) ).
fof(f2811,plain,
( n3 != sum(sum(n9,n0),n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f14,f2810]) ).
fof(f2812,plain,
( n3 != sum(n9,n5)
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f125,f2811]) ).
fof(f2813,plain,
( n3 != n3
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f130,f2812]) ).
fof(f2814,plain,
( $false
| ~ spl0_10
| ~ spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f2813]) ).
fof(f2815,plain,
( ~ spl0_10
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f2814]) ).
fof(f2844,plain,
( sum(sum(pred(n1),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f209,f2512]) ).
fof(f2845,plain,
( sum(sum(n0,n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f16,f2844]) ).
fof(f2846,plain,
( sum(n1,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f27,f2845]) ).
fof(f2847,plain,
( sum(n1,sum(n10,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f209,f2846]) ).
fof(f2848,plain,
( sum(n1,sum(n10,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f5,f2847]) ).
fof(f2849,plain,
( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f138,f2848]) ).
fof(f2850,plain,
( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f38,f2849]) ).
fof(f2851,plain,
( n2 != sum(sum(pred(n1),succ(sk0_0)),n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f209,f2850]) ).
fof(f2852,plain,
( n2 != sum(sum(n0,succ(sk0_0)),n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f16,f2851]) ).
fof(f2853,plain,
( n2 != sum(sum(n0,succ(n1)),n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f209,f2852]) ).
fof(f2854,plain,
( n2 != sum(sum(n0,n2),n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f5,f2853]) ).
fof(f2855,plain,
( n2 != sum(n2,n0)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f28,f2854]) ).
fof(f2856,plain,
( n2 != n2
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f48,f2855]) ).
fof(f2857,plain,
( $false
| ~ spl0_1
| ~ spl0_11 ),
inference(trivial_equality_resolution,[status(esa)],[f2856]) ).
fof(f2858,plain,
( ~ spl0_1
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f2857]) ).
fof(f2865,plain,
( sum(sum(pred(sk0_0),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f224,f1629]) ).
fof(f2866,plain,
( sum(sum(pred(n6),n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f224,f2865]) ).
fof(f2867,plain,
( sum(sum(n5,n1),sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f21,f2866]) ).
fof(f2868,plain,
( sum(n6,sum(n10,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f82,f2867]) ).
fof(f2869,plain,
( sum(n6,sum(n10,succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f224,f2868]) ).
fof(f2870,plain,
( sum(n6,sum(n10,n7)) != sum(sum(pred(sk0_0),succ(n6)),n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f10,f2869]) ).
fof(f2871,plain,
( sum(n6,n6) != sum(sum(pred(sk0_0),succ(n6)),n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f143,f2870]) ).
fof(f2872,plain,
( n1 != sum(sum(pred(sk0_0),succ(n6)),n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f98,f2871]) ).
fof(f2873,plain,
( n1 != sum(sum(pred(n6),succ(n6)),n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f224,f2872]) ).
fof(f2874,plain,
( n1 != sum(sum(n5,succ(n6)),n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f21,f2873]) ).
fof(f2875,plain,
( n1 != sum(sum(n5,n7),n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f10,f2874]) ).
fof(f2876,plain,
( n1 != sum(n1,n0)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f88,f2875]) ).
fof(f2877,plain,
( n1 != n1
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f37,f2876]) ).
fof(f2878,plain,
( $false
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_equality_resolution,[status(esa)],[f2877]) ).
fof(f2879,plain,
( ~ spl0_6
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f2878]) ).
fof(f2880,plain,
( sum(sum(n9,succ(n0)),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f240,f2673]) ).
fof(f2881,plain,
( sum(sum(n9,n1),sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f4,f2880]) ).
fof(f2882,plain,
( sum(n10,sum(pred(sk0_1),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f126,f2881]) ).
fof(f2883,plain,
( sum(n10,sum(pred(n0),n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f240,f2882]) ).
fof(f2884,plain,
( sum(n10,sum(n10,n0)) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f15,f2883]) ).
fof(f2885,plain,
( sum(n10,n10) != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f136,f2884]) ).
fof(f2886,plain,
( n9 != sum(n9,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f146,f2885]) ).
fof(f2887,plain,
( n9 != sum(n9,sum(pred(n0),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f240,f2886]) ).
fof(f2888,plain,
( n9 != sum(n9,sum(n10,succ(sk0_1)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f15,f2887]) ).
fof(f2889,plain,
( n9 != sum(n9,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f240,f2888]) ).
fof(f2890,plain,
( n9 != sum(n9,sum(n10,n1))
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f4,f2889]) ).
fof(f2891,plain,
( n9 != sum(n9,n0)
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f137,f2890]) ).
fof(f2892,plain,
( n9 != n9
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f125,f2891]) ).
fof(f2893,plain,
( $false
| ~ spl0_11
| ~ spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f2892]) ).
fof(f2894,plain,
( ~ spl0_11
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f2893]) ).
fof(f2924,plain,
( sum(sum(pred(n10),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f236,f2546]) ).
fof(f2925,plain,
( sum(sum(n9,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f25,f2924]) ).
fof(f2926,plain,
( sum(n1,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f128,f2925]) ).
fof(f2927,plain,
( sum(n1,sum(n1,succ(n10))) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f236,f2926]) ).
fof(f2928,plain,
( sum(n1,sum(n1,n0)) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f14,f2927]) ).
fof(f2929,plain,
( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f37,f2928]) ).
fof(f2930,plain,
( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f38,f2929]) ).
fof(f2931,plain,
( n2 != sum(sum(pred(n10),succ(sk0_0)),n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f236,f2930]) ).
fof(f2932,plain,
( n2 != sum(sum(n9,succ(sk0_0)),n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f25,f2931]) ).
fof(f2933,plain,
( n2 != sum(sum(n9,succ(n10)),n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f236,f2932]) ).
fof(f2934,plain,
( n2 != sum(sum(n9,n0),n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f14,f2933]) ).
fof(f2935,plain,
( n2 != sum(n9,n4)
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f125,f2934]) ).
fof(f2936,plain,
( n2 != n2
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f129,f2935]) ).
fof(f2937,plain,
( $false
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_equality_resolution,[status(esa)],[f2936]) ).
fof(f2938,plain,
( ~ spl0_10
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f2937]) ).
fof(f2939,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(f2940,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,f2939]) ).
fof(f2941,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,f2940]) ).
fof(f2942,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,f2941]) ).
fof(f2943,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,f2942]) ).
fof(f2944,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,f2943]) ).
fof(f2945,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,f2944]) ).
fof(f2946,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,f2945]) ).
fof(f2947,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,f2946]) ).
fof(f2958,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f230,f1951]) ).
fof(f2959,plain,
( sum(sum(pred(n8),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f230,f2958]) ).
fof(f2960,plain,
( sum(sum(n7,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f23,f2959]) ).
fof(f2961,plain,
( sum(n2,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n8)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f109,f2960]) ).
fof(f2962,plain,
( sum(n2,sum(n4,succ(n8))) != sum(sum(pred(sk0_0),succ(n8)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f230,f2961]) ).
fof(f2963,plain,
( sum(n2,sum(n4,n9)) != sum(sum(pred(sk0_0),succ(n8)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f12,f2962]) ).
fof(f2964,plain,
( sum(n2,n2) != sum(sum(pred(sk0_0),succ(n8)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f79,f2963]) ).
fof(f2965,plain,
( n4 != sum(sum(pred(sk0_0),succ(n8)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f50,f2964]) ).
fof(f2966,plain,
( n4 != sum(sum(pred(n8),succ(n8)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f230,f2965]) ).
fof(f2967,plain,
( n4 != sum(sum(n7,succ(n8)),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f23,f2966]) ).
fof(f2968,plain,
( n4 != sum(sum(n7,n9),n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f12,f2967]) ).
fof(f2969,plain,
( n4 != sum(n5,n10)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f112,f2968]) ).
fof(f2970,plain,
( n4 != n4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f91,f2969]) ).
fof(f2971,plain,
( $false
| ~ spl0_8
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f2970]) ).
fof(f2972,plain,
( ~ spl0_8
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2971]) ).
fof(f2973,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,f2624]) ).
fof(f2974,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,f2973]) ).
fof(f2975,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,f2974]) ).
fof(f2976,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,f2975]) ).
fof(f2977,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,f2976]) ).
fof(f2978,plain,
( sum(n0,n0) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f57,f2977]) ).
fof(f2979,plain,
( n0 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f26,f2978]) ).
fof(f2980,plain,
( n0 != sum(sum(pred(n8),succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f230,f2979]) ).
fof(f2981,plain,
( n0 != sum(sum(n7,succ(sk0_0)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f23,f2980]) ).
fof(f2982,plain,
( n0 != sum(sum(n7,succ(n8)),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f230,f2981]) ).
fof(f2983,plain,
( n0 != sum(sum(n7,n9),n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f12,f2982]) ).
fof(f2984,plain,
( n0 != sum(n5,n6)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f112,f2983]) ).
fof(f2985,plain,
( n0 != n0
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f87,f2984]) ).
fof(f2986,plain,
( $false
| ~ spl0_8
| ~ spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f2985]) ).
fof(f2987,plain,
( ~ spl0_8
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f2986]) ).
fof(f2998,plain,
( sum(sum(pred(n8),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f230,f1041]) ).
fof(f2999,plain,
( sum(sum(n7,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f23,f2998]) ).
fof(f3000,plain,
( sum(n1,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f108,f2999]) ).
fof(f3001,plain,
( sum(n1,sum(n3,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f230,f3000]) ).
fof(f3002,plain,
( sum(n1,sum(n3,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f12,f3001]) ).
fof(f3003,plain,
( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f68,f3002]) ).
fof(f3004,plain,
( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f38,f3003]) ).
fof(f3005,plain,
( n2 != sum(sum(pred(n8),succ(sk0_0)),n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f230,f3004]) ).
fof(f3006,plain,
( n2 != sum(sum(n7,succ(sk0_0)),n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f23,f3005]) ).
fof(f3007,plain,
( n2 != sum(sum(n7,succ(n8)),n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f230,f3006]) ).
fof(f3008,plain,
( n2 != sum(sum(n7,n9),n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f12,f3007]) ).
fof(f3009,plain,
( n2 != sum(n5,n8)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f112,f3008]) ).
fof(f3010,plain,
( n2 != n2
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f89,f3009]) ).
fof(f3011,plain,
( $false
| ~ spl0_8
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f3010]) ).
fof(f3012,plain,
( ~ spl0_8
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f3011]) ).
fof(f3013,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,f1128]) ).
fof(f3014,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,f3013]) ).
fof(f3015,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,f3014]) ).
fof(f3016,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,f3015]) ).
fof(f3017,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,f3016]) ).
fof(f3018,plain,
( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f123,f3017]) ).
fof(f3019,plain,
( n1 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f98,f3018]) ).
fof(f3020,plain,
( n1 != sum(sum(pred(n8),succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f230,f3019]) ).
fof(f3021,plain,
( n1 != sum(sum(n7,succ(sk0_0)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f23,f3020]) ).
fof(f3022,plain,
( n1 != sum(sum(n7,succ(n8)),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f230,f3021]) ).
fof(f3023,plain,
( n1 != sum(sum(n7,n9),n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f12,f3022]) ).
fof(f3024,plain,
( n1 != sum(n5,n7)
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f112,f3023]) ).
fof(f3025,plain,
( n1 != n1
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f88,f3024]) ).
fof(f3026,plain,
( $false
| ~ spl0_8
| ~ spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f3025]) ).
fof(f3027,plain,
( ~ spl0_8
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f3026]) ).
fof(f3037,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(f3038,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,f3037]) ).
fof(f3039,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,f3038]) ).
fof(f3040,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,f3039]) ).
fof(f3041,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,f3040]) ).
fof(f3042,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,f3041]) ).
fof(f3043,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,f3042]) ).
fof(f3044,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,f3043]) ).
fof(f3045,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,f3044]) ).
fof(f3047,plain,
( sum(sum(pred(sk0_0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f206,f2027]) ).
fof(f3048,plain,
( sum(sum(pred(n0),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f206,f3047]) ).
fof(f3049,plain,
( sum(sum(n10,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f15,f3048]) ).
fof(f3050,plain,
( sum(n8,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f145,f3049]) ).
fof(f3051,plain,
( sum(n8,sum(n7,succ(n0))) != sum(sum(pred(sk0_0),succ(n0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f206,f3050]) ).
fof(f3052,plain,
( sum(n8,sum(n7,n1)) != sum(sum(pred(sk0_0),succ(n0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f4,f3051]) ).
fof(f3053,plain,
( sum(n8,n8) != sum(sum(pred(sk0_0),succ(n0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f104,f3052]) ).
fof(f3054,plain,
( n5 != sum(sum(pred(sk0_0),succ(n0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f122,f3053]) ).
fof(f3055,plain,
( n5 != sum(sum(pred(n0),succ(n0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f206,f3054]) ).
fof(f3056,plain,
( n5 != sum(sum(n10,succ(n0)),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f15,f3055]) ).
fof(f3057,plain,
( n5 != sum(sum(n10,n1),n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f4,f3056]) ).
fof(f3058,plain,
( n5 != sum(n0,n5)
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f137,f3057]) ).
fof(f3059,plain,
( n5 != n5
| ~ spl0_0
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f31,f3058]) ).
fof(f3060,plain,
( $false
| ~ spl0_0
| ~ spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f3059]) ).
fof(f3061,plain,
( ~ spl0_0
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f3060]) ).
fof(f3087,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f270,f2247]) ).
fof(f3088,plain,
( sum(sum(n4,succ(n10)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f270,f3087]) ).
fof(f3089,plain,
( sum(sum(n4,n0),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f14,f3088]) ).
fof(f3090,plain,
( sum(n4,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f70,f3089]) ).
fof(f3091,plain,
( sum(n4,sum(pred(n10),n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f270,f3090]) ).
fof(f3092,plain,
( sum(n4,sum(n9,n6)) != sum(n10,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f25,f3091]) ).
fof(f3093,plain,
( sum(n4,n4) != sum(n10,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f131,f3092]) ).
fof(f3094,plain,
( n8 != sum(n10,sum(pred(sk0_1),succ(n10)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f74,f3093]) ).
fof(f3095,plain,
( n8 != sum(n10,sum(pred(n10),succ(n10)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f270,f3094]) ).
fof(f3096,plain,
( n8 != sum(n10,sum(n9,succ(n10)))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f25,f3095]) ).
fof(f3097,plain,
( n8 != sum(n10,sum(n9,n0))
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f14,f3096]) ).
fof(f3098,plain,
( n8 != sum(n10,n9)
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f125,f3097]) ).
fof(f3099,plain,
( n8 != n8
| ~ spl0_21
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f145,f3098]) ).
fof(f3100,plain,
( $false
| ~ spl0_21
| ~ spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f3099]) ).
fof(f3101,plain,
( ~ spl0_21
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f3100]) ).
fof(f3111,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f149]) ).
fof(f3112,plain,
( sum(sum(pred(n2),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f3111]) ).
fof(f3113,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f3112]) ).
fof(f3114,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f3113]) ).
fof(f3115,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f3114]) ).
fof(f3116,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f3115]) ).
fof(f3117,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)],[f17,f3116]) ).
fof(f3118,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,f3117]) ).
fof(f3119,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,f3118]) ).
fof(f3120,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f240,f2706]) ).
fof(f3121,plain,
( sum(sum(n1,succ(n0)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f240,f3120]) ).
fof(f3122,plain,
( sum(sum(n1,n1),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f4,f3121]) ).
fof(f3123,plain,
( sum(n2,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f38,f3122]) ).
fof(f3124,plain,
( sum(n2,sum(pred(n0),n3)) != sum(n4,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f240,f3123]) ).
fof(f3125,plain,
( sum(n2,sum(n10,n3)) != sum(n4,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f15,f3124]) ).
fof(f3126,plain,
( sum(n2,n2) != sum(n4,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f139,f3125]) ).
fof(f3127,plain,
( n4 != sum(n4,sum(pred(sk0_1),succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f50,f3126]) ).
fof(f3128,plain,
( n4 != sum(n4,sum(pred(n0),succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f240,f3127]) ).
fof(f3129,plain,
( n4 != sum(n4,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f15,f3128]) ).
fof(f3130,plain,
( n4 != sum(n4,sum(n10,n1))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f4,f3129]) ).
fof(f3131,plain,
( n4 != sum(n4,n0)
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f137,f3130]) ).
fof(f3132,plain,
( n4 != n4
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f70,f3131]) ).
fof(f3133,plain,
( $false
| ~ spl0_11
| ~ spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f3132]) ).
fof(f3134,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3133]) ).
fof(f3135,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,f1827]) ).
fof(f3136,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,f3135]) ).
fof(f3137,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,f3136]) ).
fof(f3138,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,f3137]) ).
fof(f3139,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,f3138]) ).
fof(f3140,plain,
( sum(n4,n4) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f141,f3139]) ).
fof(f3141,plain,
( n8 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f74,f3140]) ).
fof(f3142,plain,
( n8 != sum(n8,sum(pred(n0),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f240,f3141]) ).
fof(f3143,plain,
( n8 != sum(n8,sum(n10,succ(sk0_1)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f15,f3142]) ).
fof(f3144,plain,
( n8 != sum(n8,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f240,f3143]) ).
fof(f3145,plain,
( n8 != sum(n8,sum(n10,n1))
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f4,f3144]) ).
fof(f3146,plain,
( n8 != sum(n8,n0)
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f137,f3145]) ).
fof(f3147,plain,
( n8 != n8
| ~ spl0_11
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f114,f3146]) ).
fof(f3148,plain,
( $false
| ~ spl0_11
| ~ spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f3147]) ).
fof(f3149,plain,
( ~ spl0_11
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f3148]) ).
fof(f3168,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,f395]) ).
fof(f3169,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,f3168]) ).
fof(f3170,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,f3169]) ).
fof(f3171,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,f3170]) ).
fof(f3172,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,f3171]) ).
fof(f3173,plain,
( sum(n3,n3) != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f39,f3172]) ).
fof(f3174,plain,
( n6 != sum(n2,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f62,f3173]) ).
fof(f3175,plain,
( n6 != sum(n2,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f246,f3174]) ).
fof(f3176,plain,
( n6 != sum(n2,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f17,f3175]) ).
fof(f3177,plain,
( n6 != sum(n2,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f246,f3176]) ).
fof(f3178,plain,
( n6 != sum(n2,sum(n1,n3))
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f6,f3177]) ).
fof(f3179,plain,
( n6 != sum(n2,n4)
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f40,f3178]) ).
fof(f3180,plain,
( n6 != n6
| ~ spl0_13
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f52,f3179]) ).
fof(f3181,plain,
( $false
| ~ spl0_13
| ~ spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f3180]) ).
fof(f3182,plain,
( ~ spl0_13
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f3181]) ).
fof(f3202,plain,
( sum(sum(pred(n1),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f209,f2947]) ).
fof(f3203,plain,
( sum(sum(n0,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f16,f3202]) ).
fof(f3204,plain,
( sum(n6,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f32,f3203]) ).
fof(f3205,plain,
( sum(n6,sum(n4,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f209,f3204]) ).
fof(f3206,plain,
( sum(n6,sum(n4,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f5,f3205]) ).
fof(f3207,plain,
( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f72,f3206]) ).
fof(f3208,plain,
( n1 != sum(sum(pred(sk0_0),succ(sk0_0)),n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f98,f3207]) ).
fof(f3209,plain,
( n1 != sum(sum(pred(n1),succ(sk0_0)),n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f209,f3208]) ).
fof(f3210,plain,
( n1 != sum(sum(n0,succ(sk0_0)),n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f16,f3209]) ).
fof(f3211,plain,
( n1 != sum(sum(n0,succ(n1)),n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f209,f3210]) ).
fof(f3212,plain,
( n1 != sum(sum(n0,n2),n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f5,f3211]) ).
fof(f3213,plain,
( n1 != sum(n2,n10)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f28,f3212]) ).
fof(f3214,plain,
( n1 != n1
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f58,f3213]) ).
fof(f3215,plain,
( $false
| ~ spl0_1
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f3214]) ).
fof(f3216,plain,
( ~ spl0_1
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f3215]) ).
fof(f3248,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,f2072]) ).
fof(f3249,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,f3248]) ).
fof(f3250,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,f3249]) ).
fof(f3251,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,f3250]) ).
fof(f3252,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,f3251]) ).
fof(f3253,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f55,f3252]) ).
fof(f3254,plain,
( n7 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f134,f3253]) ).
fof(f3255,plain,
( n7 != sum(sum(pred(n6),succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f224,f3254]) ).
fof(f3256,plain,
( n7 != sum(sum(n5,succ(sk0_0)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f21,f3255]) ).
fof(f3257,plain,
( n7 != sum(sum(n5,succ(n6)),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f224,f3256]) ).
fof(f3258,plain,
( n7 != sum(sum(n5,n7),n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f10,f3257]) ).
fof(f3259,plain,
( n7 != sum(n1,n6)
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f88,f3258]) ).
fof(f3260,plain,
( n7 != n7
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f43,f3259]) ).
fof(f3261,plain,
( $false
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f3260]) ).
fof(f3262,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f3261]) ).
fof(f3263,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(f3264,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,f3263]) ).
fof(f3265,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,f3264]) ).
fof(f3266,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,f3265]) ).
fof(f3267,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,f3266]) ).
fof(f3268,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,f3267]) ).
fof(f3269,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,f3268]) ).
fof(f3270,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,f3269]) ).
fof(f3271,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,f3270]) ).
fof(f3282,plain,
( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f209,f1041]) ).
fof(f3283,plain,
( sum(sum(pred(n1),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f209,f3282]) ).
fof(f3284,plain,
( sum(sum(n0,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f16,f3283]) ).
fof(f3285,plain,
( sum(n5,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f31,f3284]) ).
fof(f3286,plain,
( sum(n5,sum(n3,succ(n1))) != sum(sum(pred(sk0_0),succ(n1)),n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f209,f3285]) ).
fof(f3287,plain,
( sum(n5,sum(n3,n2)) != sum(sum(pred(sk0_0),succ(n1)),n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f5,f3286]) ).
fof(f3288,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(n1)),n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f61,f3287]) ).
fof(f3289,plain,
( n10 != sum(sum(pred(sk0_0),succ(n1)),n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f86,f3288]) ).
fof(f3290,plain,
( n10 != sum(sum(pred(n1),succ(n1)),n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f209,f3289]) ).
fof(f3291,plain,
( n10 != sum(sum(n0,succ(n1)),n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f16,f3290]) ).
fof(f3292,plain,
( n10 != sum(sum(n0,n2),n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f5,f3291]) ).
fof(f3293,plain,
( n10 != sum(n2,n8)
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f28,f3292]) ).
fof(f3294,plain,
( n10 != n10
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f56,f3293]) ).
fof(f3295,plain,
( $false
| ~ spl0_1
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f3294]) ).
fof(f3296,plain,
( ~ spl0_1
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f3295]) ).
fof(f3297,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(f3298,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,f3297]) ).
fof(f3299,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,f3298]) ).
fof(f3300,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,f3299]) ).
fof(f3301,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,f3300]) ).
fof(f3302,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,f3301]) ).
fof(f3303,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,f3302]) ).
fof(f3304,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,f3303]) ).
fof(f3305,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,f3304]) ).
fof(f3316,plain,
( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f224,f1128]) ).
fof(f3317,plain,
( sum(sum(pred(n6),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f224,f3316]) ).
fof(f3318,plain,
( sum(sum(n5,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f21,f3317]) ).
fof(f3319,plain,
( sum(n4,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f91,f3318]) ).
fof(f3320,plain,
( sum(n4,sum(n8,succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f224,f3319]) ).
fof(f3321,plain,
( sum(n4,sum(n8,n7)) != sum(sum(pred(sk0_0),succ(n6)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f10,f3320]) ).
fof(f3322,plain,
( sum(n4,n4) != sum(sum(pred(sk0_0),succ(n6)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f121,f3321]) ).
fof(f3323,plain,
( n8 != sum(sum(pred(sk0_0),succ(n6)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f74,f3322]) ).
fof(f3324,plain,
( n8 != sum(sum(pred(n6),succ(n6)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f224,f3323]) ).
fof(f3325,plain,
( n8 != sum(sum(n5,succ(n6)),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f21,f3324]) ).
fof(f3326,plain,
( n8 != sum(sum(n5,n7),n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f10,f3325]) ).
fof(f3327,plain,
( n8 != sum(n1,n7)
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f88,f3326]) ).
fof(f3328,plain,
( n8 != n8
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f44,f3327]) ).
fof(f3329,plain,
( $false
| ~ spl0_6
| ~ spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f3328]) ).
fof(f3330,plain,
( ~ spl0_6
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f3329]) ).
fof(f3339,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,f2780]) ).
fof(f3340,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,f3339]) ).
fof(f3341,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,f3340]) ).
fof(f3342,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,f3341]) ).
fof(f3343,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,f3342]) ).
fof(f3344,plain,
( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f110,f3343]) ).
fof(f3345,plain,
( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f62,f3344]) ).
fof(f3346,plain,
( n6 != sum(sum(pred(n6),succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f224,f3345]) ).
fof(f3347,plain,
( n6 != sum(sum(n5,succ(sk0_0)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f21,f3346]) ).
fof(f3348,plain,
( n6 != sum(sum(n5,succ(n6)),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f224,f3347]) ).
fof(f3349,plain,
( n6 != sum(sum(n5,n7),n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f10,f3348]) ).
fof(f3350,plain,
( n6 != sum(n1,n5)
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f88,f3349]) ).
fof(f3351,plain,
( n6 != n6
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f42,f3350]) ).
fof(f3352,plain,
( $false
| ~ spl0_6
| ~ spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f3351]) ).
fof(f3353,plain,
( ~ spl0_6
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f3352]) ).
fof(f3383,plain,
( sum(sum(n4,succ(n0)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f240,f1664]) ).
fof(f3384,plain,
( sum(sum(n4,n1),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f4,f3383]) ).
fof(f3385,plain,
( sum(n5,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f71,f3384]) ).
fof(f3386,plain,
( sum(n5,sum(pred(n0),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f240,f3385]) ).
fof(f3387,plain,
( sum(n5,sum(n10,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f15,f3386]) ).
fof(f3388,plain,
( sum(n5,n5) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f142,f3387]) ).
fof(f3389,plain,
( n10 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f86,f3388]) ).
fof(f3390,plain,
( n10 != sum(n10,sum(pred(n0),succ(sk0_1)))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f240,f3389]) ).
fof(f3391,plain,
( n10 != sum(n10,sum(n10,succ(sk0_1)))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f15,f3390]) ).
fof(f3392,plain,
( n10 != sum(n10,sum(n10,succ(n0)))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f240,f3391]) ).
fof(f3393,plain,
( n10 != sum(n10,sum(n10,n1))
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f4,f3392]) ).
fof(f3394,plain,
( n10 != sum(n10,n0)
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f137,f3393]) ).
fof(f3395,plain,
( n10 != n10
| ~ spl0_11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f136,f3394]) ).
fof(f3396,plain,
( $false
| ~ spl0_11
| ~ spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f3395]) ).
fof(f3397,plain,
( ~ spl0_11
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f3396]) ).
fof(f3407,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f212,f149]) ).
fof(f3408,plain,
( sum(sum(pred(n2),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f3407]) ).
fof(f3409,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f3408]) ).
fof(f3410,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),succ(n2))) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f3409]) ).
fof(f3411,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(sk0_0),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f3410]) ).
fof(f3412,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f212,f3411]) ).
fof(f3413,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)],[f17,f3412]) ).
fof(f3414,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,f3413]) ).
fof(f3415,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,f3414]) ).
fof(f3426,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,f3119]) ).
fof(f3427,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,f3426]) ).
fof(f3428,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,f3427]) ).
fof(f3429,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,f3428]) ).
fof(f3430,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,f3429]) ).
fof(f3431,plain,
( sum(n4,n4) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f40,f3430]) ).
fof(f3432,plain,
( n8 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f74,f3431]) ).
fof(f3433,plain,
( n8 != sum(n4,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f246,f3432]) ).
fof(f3434,plain,
( n8 != sum(n4,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f17,f3433]) ).
fof(f3435,plain,
( n8 != sum(n4,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f246,f3434]) ).
fof(f3436,plain,
( n8 != sum(n4,sum(n1,n3))
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f6,f3435]) ).
fof(f3437,plain,
( n8 != sum(n4,n4)
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f40,f3436]) ).
fof(f3438,plain,
( n8 != n8
| ~ spl0_13
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f74,f3437]) ).
fof(f3439,plain,
( $false
| ~ spl0_13
| ~ spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f3438]) ).
fof(f3440,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3439]) ).
fof(f3441,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,f2210]) ).
fof(f3442,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,f3441]) ).
fof(f3443,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,f3442]) ).
fof(f3444,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,f3443]) ).
fof(f3445,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,f3444]) ).
fof(f3446,plain,
( sum(n6,n6) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f42,f3445]) ).
fof(f3447,plain,
( n1 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f98,f3446]) ).
fof(f3448,plain,
( n1 != sum(n8,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f246,f3447]) ).
fof(f3449,plain,
( n1 != sum(n8,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f17,f3448]) ).
fof(f3450,plain,
( n1 != sum(n8,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f246,f3449]) ).
fof(f3451,plain,
( n1 != sum(n8,sum(n1,n3))
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f6,f3450]) ).
fof(f3452,plain,
( n1 != sum(n8,n4)
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f40,f3451]) ).
fof(f3453,plain,
( n1 != n1
| ~ spl0_13
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f118,f3452]) ).
fof(f3454,plain,
( $false
| ~ spl0_13
| ~ spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f3453]) ).
fof(f3455,plain,
( ~ spl0_13
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f3454]) ).
fof(f3473,plain,
( sum(sum(pred(sk0_0),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f224,f1413]) ).
fof(f3474,plain,
( sum(sum(pred(n6),n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f224,f3473]) ).
fof(f3475,plain,
( sum(sum(n5,n3),sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f21,f3474]) ).
fof(f3476,plain,
( sum(n8,sum(n1,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f84,f3475]) ).
fof(f3477,plain,
( sum(n8,sum(n1,succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f224,f3476]) ).
fof(f3478,plain,
( sum(n8,sum(n1,n7)) != sum(sum(pred(sk0_0),succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f10,f3477]) ).
fof(f3479,plain,
( sum(n8,n8) != sum(sum(pred(sk0_0),succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f44,f3478]) ).
fof(f3480,plain,
( n5 != sum(sum(pred(sk0_0),succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f122,f3479]) ).
fof(f3481,plain,
( n5 != sum(sum(pred(n6),succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f224,f3480]) ).
fof(f3482,plain,
( n5 != sum(sum(n5,succ(n6)),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f21,f3481]) ).
fof(f3483,plain,
( n5 != sum(sum(n5,n7),n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f10,f3482]) ).
fof(f3484,plain,
( n5 != sum(n1,n4)
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f88,f3483]) ).
fof(f3485,plain,
( n5 != n5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f41,f3484]) ).
fof(f3486,plain,
( $false
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_equality_resolution,[status(esa)],[f3485]) ).
fof(f3487,plain,
( ~ spl0_6
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f3486]) ).
fof(f3517,plain,
( sum(sum(pred(sk0_0),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f236,f1951]) ).
fof(f3518,plain,
( sum(sum(pred(n10),n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f236,f3517]) ).
fof(f3519,plain,
( sum(sum(n9,n6),sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f25,f3518]) ).
fof(f3520,plain,
( sum(n4,sum(n4,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n10)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f131,f3519]) ).
fof(f3521,plain,
( sum(n4,sum(n4,succ(n10))) != sum(sum(pred(sk0_0),succ(n10)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f236,f3520]) ).
fof(f3522,plain,
( sum(n4,sum(n4,n0)) != sum(sum(pred(sk0_0),succ(n10)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f14,f3521]) ).
fof(f3523,plain,
( sum(n4,n4) != sum(sum(pred(sk0_0),succ(n10)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f70,f3522]) ).
fof(f3524,plain,
( n8 != sum(sum(pred(sk0_0),succ(n10)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f74,f3523]) ).
fof(f3525,plain,
( n8 != sum(sum(pred(n10),succ(n10)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f236,f3524]) ).
fof(f3526,plain,
( n8 != sum(sum(n9,succ(n10)),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f25,f3525]) ).
fof(f3527,plain,
( n8 != sum(sum(n9,n0),n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f14,f3526]) ).
fof(f3528,plain,
( n8 != sum(n9,n10)
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f125,f3527]) ).
fof(f3529,plain,
( n8 != n8
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f135,f3528]) ).
fof(f3530,plain,
( $false
| ~ spl0_10
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f3529]) ).
fof(f3531,plain,
( ~ spl0_10
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f3530]) ).
fof(f3532,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(f3533,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,f3532]) ).
fof(f3534,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,f3533]) ).
fof(f3535,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,f3534]) ).
fof(f3536,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,f3535]) ).
fof(f3537,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,f3536]) ).
fof(f3538,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,f3537]) ).
fof(f3539,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,f3538]) ).
fof(f3540,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,f3539]) ).
fof(f3551,plain,
( sum(sum(pred(sk0_0),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f209,f2624]) ).
fof(f3552,plain,
( sum(sum(pred(n1),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f209,f3551]) ).
fof(f3553,plain,
( sum(sum(n0,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f16,f3552]) ).
fof(f3554,plain,
( sum(n4,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f30,f3553]) ).
fof(f3555,plain,
( sum(n4,sum(n2,succ(n1))) != sum(sum(pred(sk0_0),succ(n1)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f209,f3554]) ).
fof(f3556,plain,
( sum(n4,sum(n2,n2)) != sum(sum(pred(sk0_0),succ(n1)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f5,f3555]) ).
fof(f3557,plain,
( sum(n4,n4) != sum(sum(pred(sk0_0),succ(n1)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f50,f3556]) ).
fof(f3558,plain,
( n8 != sum(sum(pred(sk0_0),succ(n1)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f74,f3557]) ).
fof(f3559,plain,
( n8 != sum(sum(pred(n1),succ(n1)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f209,f3558]) ).
fof(f3560,plain,
( n8 != sum(sum(n0,succ(n1)),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f16,f3559]) ).
fof(f3561,plain,
( n8 != sum(sum(n0,n2),n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f5,f3560]) ).
fof(f3562,plain,
( n8 != sum(n2,n6)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f28,f3561]) ).
fof(f3563,plain,
( n8 != n8
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f54,f3562]) ).
fof(f3564,plain,
( $false
| ~ spl0_1
| ~ spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f3563]) ).
fof(f3565,plain,
( ~ spl0_1
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f3564]) ).
fof(f3569,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(f3570,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,f3569]) ).
fof(f3571,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,f3570]) ).
fof(f3572,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,f3571]) ).
fof(f3573,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,f3572]) ).
fof(f3574,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,f3573]) ).
fof(f3575,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,f3574]) ).
fof(f3576,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,f3575]) ).
fof(f3577,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,f3576]) ).
fof(f3589,plain,
( sum(sum(pred(sk0_0),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f224,f3271]) ).
fof(f3590,plain,
( sum(sum(pred(n6),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f224,f3589]) ).
fof(f3591,plain,
( sum(sum(n5,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f21,f3590]) ).
fof(f3592,plain,
( sum(n10,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f86,f3591]) ).
fof(f3593,plain,
( sum(n10,sum(n3,succ(n6))) != sum(sum(pred(sk0_0),succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f224,f3592]) ).
fof(f3594,plain,
( sum(n10,sum(n3,n7)) != sum(sum(pred(sk0_0),succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f10,f3593]) ).
fof(f3595,plain,
( sum(n10,n10) != sum(sum(pred(sk0_0),succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f66,f3594]) ).
fof(f3596,plain,
( n9 != sum(sum(pred(sk0_0),succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f146,f3595]) ).
fof(f3597,plain,
( n9 != sum(sum(pred(n6),succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f224,f3596]) ).
fof(f3598,plain,
( n9 != sum(sum(n5,succ(n6)),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f21,f3597]) ).
fof(f3599,plain,
( n9 != sum(sum(n5,n7),n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f10,f3598]) ).
fof(f3600,plain,
( n9 != sum(n1,n8)
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f88,f3599]) ).
fof(f3601,plain,
( n9 != n9
| ~ spl0_6
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f45,f3600]) ).
fof(f3602,plain,
( $false
| ~ spl0_6
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f3601]) ).
fof(f3603,plain,
( ~ spl0_6
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f3602]) ).
fof(f3623,plain,
( sum(sum(pred(sk0_0),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f209,f3305]) ).
fof(f3624,plain,
( sum(sum(pred(n1),n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f209,f3623]) ).
fof(f3625,plain,
( sum(sum(n0,n10),sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f16,f3624]) ).
fof(f3626,plain,
( sum(n10,sum(n8,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n1)),n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f36,f3625]) ).
fof(f3627,plain,
( sum(n10,sum(n8,succ(n1))) != sum(sum(pred(sk0_0),succ(n1)),n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f209,f3626]) ).
fof(f3628,plain,
( sum(n10,sum(n8,n2)) != sum(sum(pred(sk0_0),succ(n1)),n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f5,f3627]) ).
fof(f3629,plain,
( sum(n10,n10) != sum(sum(pred(sk0_0),succ(n1)),n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f116,f3628]) ).
fof(f3630,plain,
( n9 != sum(sum(pred(sk0_0),succ(n1)),n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f146,f3629]) ).
fof(f3631,plain,
( n9 != sum(sum(pred(n1),succ(n1)),n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f209,f3630]) ).
fof(f3632,plain,
( n9 != sum(sum(n0,succ(n1)),n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f16,f3631]) ).
fof(f3633,plain,
( n9 != sum(sum(n0,n2),n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f5,f3632]) ).
fof(f3634,plain,
( n9 != sum(n2,n7)
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f28,f3633]) ).
fof(f3635,plain,
( n9 != n9
| ~ spl0_1
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f55,f3634]) ).
fof(f3636,plain,
( $false
| ~ spl0_1
| ~ spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f3635]) ).
fof(f3637,plain,
( ~ spl0_1
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f3636]) ).
fof(f3638,plain,
( sum(sum(pred(n1),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f209,f2458]) ).
fof(f3639,plain,
( sum(sum(n0,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f16,f3638]) ).
fof(f3640,plain,
( sum(n9,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f35,f3639]) ).
fof(f3641,plain,
( sum(n9,sum(n7,succ(n1))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f209,f3640]) ).
fof(f3642,plain,
( sum(n9,sum(n7,n2)) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f5,f3641]) ).
fof(f3643,plain,
( sum(n9,n9) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f105,f3642]) ).
fof(f3644,plain,
( n7 != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f134,f3643]) ).
fof(f3645,plain,
( n7 != sum(sum(pred(n1),succ(sk0_0)),n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f209,f3644]) ).
fof(f3646,plain,
( n7 != sum(sum(n0,succ(sk0_0)),n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f16,f3645]) ).
fof(f3647,plain,
( n7 != sum(sum(n0,succ(n1)),n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f209,f3646]) ).
fof(f3648,plain,
( n7 != sum(sum(n0,n2),n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f5,f3647]) ).
fof(f3649,plain,
( n7 != sum(n2,n5)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f28,f3648]) ).
fof(f3650,plain,
( n7 != n7
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f53,f3649]) ).
fof(f3651,plain,
( $false
| ~ spl0_1
| ~ spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f3650]) ).
fof(f3652,plain,
( ~ spl0_1
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f3651]) ).
fof(f3682,plain,
( sum(sum(n4,succ(n2)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f246,f382]) ).
fof(f3683,plain,
( sum(sum(n4,n3),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f6,f3682]) ).
fof(f3684,plain,
( sum(n7,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f73,f3683]) ).
fof(f3685,plain,
( sum(n7,sum(pred(n2),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f246,f3684]) ).
fof(f3686,plain,
( sum(n7,sum(n1,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f17,f3685]) ).
fof(f3687,plain,
( sum(n7,n7) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f43,f3686]) ).
fof(f3688,plain,
( n3 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f110,f3687]) ).
fof(f3689,plain,
( n3 != sum(n10,sum(pred(n2),succ(sk0_1)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f246,f3688]) ).
fof(f3690,plain,
( n3 != sum(n10,sum(n1,succ(sk0_1)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f17,f3689]) ).
fof(f3691,plain,
( n3 != sum(n10,sum(n1,succ(n2)))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f246,f3690]) ).
fof(f3692,plain,
( n3 != sum(n10,sum(n1,n3))
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f6,f3691]) ).
fof(f3693,plain,
( n3 != sum(n10,n4)
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f40,f3692]) ).
fof(f3694,plain,
( n3 != n3
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f140,f3693]) ).
fof(f3695,plain,
( $false
| ~ spl0_13
| ~ spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f3694]) ).
fof(f3696,plain,
( ~ spl0_13
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f3695]) ).
fof(f3715,plain,
( sum(sum(n1,succ(sk0_1)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f255,f2706]) ).
fof(f3716,plain,
( sum(sum(n1,succ(n5)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f255,f3715]) ).
fof(f3717,plain,
( sum(sum(n1,n6),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f9,f3716]) ).
fof(f3718,plain,
( sum(n7,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f43,f3717]) ).
fof(f3719,plain,
( sum(n7,sum(pred(n5),n3)) != sum(n4,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f255,f3718]) ).
fof(f3720,plain,
( sum(n7,sum(n4,n3)) != sum(n4,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f20,f3719]) ).
fof(f3721,plain,
( sum(n7,n7) != sum(n4,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f73,f3720]) ).
fof(f3722,plain,
( n3 != sum(n4,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f110,f3721]) ).
fof(f3723,plain,
( n3 != sum(n4,sum(pred(n5),succ(n5)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f255,f3722]) ).
fof(f3724,plain,
( n3 != sum(n4,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f20,f3723]) ).
fof(f3725,plain,
( n3 != sum(n4,sum(n4,n6))
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f9,f3724]) ).
fof(f3726,plain,
( n3 != sum(n4,n10)
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f76,f3725]) ).
fof(f3727,plain,
( n3 != n3
| ~ spl0_16
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f80,f3726]) ).
fof(f3728,plain,
( $false
| ~ spl0_16
| ~ spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f3727]) ).
fof(f3729,plain,
( ~ spl0_16
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3728]) ).
fof(f3730,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,f1827]) ).
fof(f3731,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,f3730]) ).
fof(f3732,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,f3731]) ).
fof(f3733,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,f3732]) ).
fof(f3734,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,f3733]) ).
fof(f3735,plain,
( sum(n9,n9) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f75,f3734]) ).
fof(f3736,plain,
( n7 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f134,f3735]) ).
fof(f3737,plain,
( n7 != sum(n8,sum(pred(n5),succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f255,f3736]) ).
fof(f3738,plain,
( n7 != sum(n8,sum(n4,succ(sk0_1)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f20,f3737]) ).
fof(f3739,plain,
( n7 != sum(n8,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f255,f3738]) ).
fof(f3740,plain,
( n7 != sum(n8,sum(n4,n6))
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f9,f3739]) ).
fof(f3741,plain,
( n7 != sum(n8,n10)
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f76,f3740]) ).
fof(f3742,plain,
( n7 != n7
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f124,f3741]) ).
fof(f3743,plain,
( $false
| ~ spl0_16
| ~ spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f3742]) ).
fof(f3744,plain,
( ~ spl0_16
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f3743]) ).
fof(f3774,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f230,f3045]) ).
fof(f3775,plain,
( sum(sum(n7,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f23,f3774]) ).
fof(f3776,plain,
( sum(n5,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f112,f3775]) ).
fof(f3777,plain,
( sum(n5,sum(n7,succ(n8))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f230,f3776]) ).
fof(f3778,plain,
( sum(n5,sum(n7,n9)) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f12,f3777]) ).
fof(f3779,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f112,f3778]) ).
fof(f3780,plain,
( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f86,f3779]) ).
fof(f3781,plain,
( n10 != sum(sum(pred(n8),succ(sk0_0)),n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f230,f3780]) ).
fof(f3782,plain,
( n10 != sum(sum(n7,succ(sk0_0)),n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f23,f3781]) ).
fof(f3783,plain,
( n10 != sum(sum(n7,succ(n8)),n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f230,f3782]) ).
fof(f3784,plain,
( n10 != sum(sum(n7,n9),n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f12,f3783]) ).
fof(f3785,plain,
( n10 != sum(n5,n5)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f112,f3784]) ).
fof(f3786,plain,
( n10 != n10
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f86,f3785]) ).
fof(f3787,plain,
( $false
| ~ spl0_8
| ~ spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f3786]) ).
fof(f3788,plain,
( ~ spl0_8
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f3787]) ).
fof(f3802,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f252,f2247]) ).
fof(f3803,plain,
( sum(sum(n4,succ(n4)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f252,f3802]) ).
fof(f3804,plain,
( sum(sum(n4,n5),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f8,f3803]) ).
fof(f3805,plain,
( sum(n9,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f75,f3804]) ).
fof(f3806,plain,
( sum(n9,sum(pred(n4),n6)) != sum(n10,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f252,f3805]) ).
fof(f3807,plain,
( sum(n9,sum(n3,n6)) != sum(n10,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f19,f3806]) ).
fof(f3808,plain,
( sum(n9,n9) != sum(n10,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f65,f3807]) ).
fof(f3809,plain,
( n7 != sum(n10,sum(pred(sk0_1),succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f134,f3808]) ).
fof(f3810,plain,
( n7 != sum(n10,sum(pred(n4),succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f252,f3809]) ).
fof(f3811,plain,
( n7 != sum(n10,sum(n3,succ(n4)))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f19,f3810]) ).
fof(f3812,plain,
( n7 != sum(n10,sum(n3,n5))
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f8,f3811]) ).
fof(f3813,plain,
( n7 != sum(n10,n8)
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f64,f3812]) ).
fof(f3814,plain,
( n7 != n7
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f144,f3813]) ).
fof(f3815,plain,
( $false
| ~ spl0_15
| ~ spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f3814]) ).
fof(f3816,plain,
( ~ spl0_15
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f3815]) ).
fof(f3838,plain,
( sum(sum(n1,succ(n9)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f267,f3415]) ).
fof(f3839,plain,
( sum(sum(n1,n10),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f13,f3838]) ).
fof(f3840,plain,
( sum(n0,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f47,f3839]) ).
fof(f3841,plain,
( sum(n0,sum(pred(n9),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f267,f3840]) ).
fof(f3842,plain,
( sum(n0,sum(n8,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f24,f3841]) ).
fof(f3843,plain,
( sum(n0,n0) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f117,f3842]) ).
fof(f3844,plain,
( n0 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f26,f3843]) ).
fof(f3845,plain,
( n0 != sum(n4,sum(pred(n9),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f267,f3844]) ).
fof(f3846,plain,
( n0 != sum(n4,sum(n8,succ(sk0_1)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f24,f3845]) ).
fof(f3847,plain,
( n0 != sum(n4,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f267,f3846]) ).
fof(f3848,plain,
( n0 != sum(n4,sum(n8,n10))
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f13,f3847]) ).
fof(f3849,plain,
( n0 != sum(n4,n7)
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f124,f3848]) ).
fof(f3850,plain,
( n0 != n0
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f77,f3849]) ).
fof(f3851,plain,
( $false
| ~ spl0_20
| ~ spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f3850]) ).
fof(f3852,plain,
( ~ spl0_20
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3851]) ).
fof(f3853,plain,
( sum(sum(pred(n2),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f212,f3540]) ).
fof(f3854,plain,
( sum(sum(n1,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f17,f3853]) ).
fof(f3855,plain,
( sum(n5,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f41,f3854]) ).
fof(f3856,plain,
( sum(n5,sum(n2,succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f212,f3855]) ).
fof(f3857,plain,
( sum(n5,sum(n2,n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f6,f3856]) ).
fof(f3858,plain,
( sum(n5,n5) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f51,f3857]) ).
fof(f3859,plain,
( n10 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f86,f3858]) ).
fof(f3860,plain,
( n10 != sum(sum(pred(n2),succ(sk0_0)),n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f212,f3859]) ).
fof(f3861,plain,
( n10 != sum(sum(n1,succ(sk0_0)),n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f17,f3860]) ).
fof(f3862,plain,
( n10 != sum(sum(n1,succ(n2)),n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f212,f3861]) ).
fof(f3863,plain,
( n10 != sum(sum(n1,n3),n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f6,f3862]) ).
fof(f3864,plain,
( n10 != sum(n4,n6)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f40,f3863]) ).
fof(f3865,plain,
( n10 != n10
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f76,f3864]) ).
fof(f3866,plain,
( $false
| ~ spl0_2
| ~ spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f3865]) ).
fof(f3867,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f3866]) ).
fof(f3868,plain,
( sum(sum(pred(n2),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f212,f3577]) ).
fof(f3869,plain,
( sum(sum(n1,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f17,f3868]) ).
fof(f3870,plain,
( sum(n6,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f42,f3869]) ).
fof(f3871,plain,
( sum(n6,sum(n3,succ(n2))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f212,f3870]) ).
fof(f3872,plain,
( sum(n6,sum(n3,n3)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f6,f3871]) ).
fof(f3873,plain,
( sum(n6,n6) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f62,f3872]) ).
fof(f3874,plain,
( n1 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f98,f3873]) ).
fof(f3875,plain,
( n1 != sum(sum(pred(n2),succ(sk0_0)),n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f212,f3874]) ).
fof(f3876,plain,
( n1 != sum(sum(n1,succ(sk0_0)),n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f17,f3875]) ).
fof(f3877,plain,
( n1 != sum(sum(n1,succ(n2)),n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f212,f3876]) ).
fof(f3878,plain,
( n1 != sum(sum(n1,n3),n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f6,f3877]) ).
fof(f3879,plain,
( n1 != sum(n4,n8)
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f40,f3878]) ).
fof(f3880,plain,
( n1 != n1
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f78,f3879]) ).
fof(f3881,plain,
( $false
| ~ spl0_2
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f3880]) ).
fof(f3882,plain,
( ~ spl0_2
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f3881]) ).
fof(f3903,plain,
( sum(sum(pred(n4),n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f218,f2027]) ).
fof(f3904,plain,
( sum(sum(n3,n9),sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f19,f3903]) ).
fof(f3905,plain,
( sum(n1,sum(n7,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f68,f3904]) ).
fof(f3906,plain,
( sum(n1,sum(n7,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f218,f3905]) ).
fof(f3907,plain,
( sum(n1,sum(n7,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f8,f3906]) ).
fof(f3908,plain,
( sum(n1,n1) != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f108,f3907]) ).
fof(f3909,plain,
( n2 != sum(sum(pred(sk0_0),succ(sk0_0)),n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f38,f3908]) ).
fof(f3910,plain,
( n2 != sum(sum(pred(n4),succ(sk0_0)),n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f218,f3909]) ).
fof(f3911,plain,
( n2 != sum(sum(n3,succ(sk0_0)),n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f19,f3910]) ).
fof(f3912,plain,
( n2 != sum(sum(n3,succ(n4)),n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f218,f3911]) ).
fof(f3913,plain,
( n2 != sum(sum(n3,n5),n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f8,f3912]) ).
fof(f3914,plain,
( n2 != sum(n8,n5)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f64,f3913]) ).
fof(f3915,plain,
( n2 != n2
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f119,f3914]) ).
fof(f3916,plain,
( $false
| ~ spl0_4
| ~ spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f3915]) ).
fof(f3917,plain,
( ~ spl0_4
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f3916]) ).
fof(f3918,plain,
( sum(sum(n1,succ(n8)),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f264,f3119]) ).
fof(f3919,plain,
( sum(sum(n1,n9),sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f12,f3918]) ).
fof(f3920,plain,
( sum(n10,sum(pred(sk0_1),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f46,f3919]) ).
fof(f3921,plain,
( sum(n10,sum(pred(n8),n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f264,f3920]) ).
fof(f3922,plain,
( sum(n10,sum(n7,n3)) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f23,f3921]) ).
fof(f3923,plain,
( sum(n10,n10) != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f106,f3922]) ).
fof(f3924,plain,
( n9 != sum(n4,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f146,f3923]) ).
fof(f3925,plain,
( n9 != sum(n4,sum(pred(n8),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f264,f3924]) ).
fof(f3926,plain,
( n9 != sum(n4,sum(n7,succ(sk0_1)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f23,f3925]) ).
fof(f3927,plain,
( n9 != sum(n4,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f264,f3926]) ).
fof(f3928,plain,
( n9 != sum(n4,sum(n7,n9))
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f12,f3927]) ).
fof(f3929,plain,
( n9 != sum(n4,n5)
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f112,f3928]) ).
fof(f3930,plain,
( n9 != n9
| ~ spl0_19
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f75,f3929]) ).
fof(f3931,plain,
( $false
| ~ spl0_19
| ~ spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f3930]) ).
fof(f3932,plain,
( ~ spl0_19
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3931]) ).
fof(f3942,plain,
( sum(sum(pred(sk0_0),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f221,f149]) ).
fof(f3943,plain,
( sum(sum(pred(n5),succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f3942]) ).
fof(f3944,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(sk0_0))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f3943]) ).
fof(f3945,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),succ(n5))) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f3944]) ).
fof(f3946,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(sk0_0),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f3945]) ).
fof(f3947,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f221,f3946]) ).
fof(f3948,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)],[f20,f3947]) ).
fof(f3949,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,f3948]) ).
fof(f3950,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,f3949]) ).
fof(f3952,plain,
( sum(sum(n4,succ(sk0_1)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f255,f382]) ).
fof(f3953,plain,
( sum(sum(n4,succ(n5)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f255,f3952]) ).
fof(f3954,plain,
( sum(sum(n4,n6),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f3953]) ).
fof(f3955,plain,
( sum(n10,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f76,f3954]) ).
fof(f3956,plain,
( sum(n10,sum(pred(n5),n6)) != sum(n10,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f255,f3955]) ).
fof(f3957,plain,
( sum(n10,sum(n4,n6)) != sum(n10,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f3956]) ).
fof(f3958,plain,
( sum(n10,n10) != sum(n10,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f76,f3957]) ).
fof(f3959,plain,
( n9 != sum(n10,sum(pred(sk0_1),succ(n5)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f146,f3958]) ).
fof(f3960,plain,
( n9 != sum(n10,sum(pred(n5),succ(n5)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f255,f3959]) ).
fof(f3961,plain,
( n9 != sum(n10,sum(n4,succ(n5)))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f20,f3960]) ).
fof(f3962,plain,
( n9 != sum(n10,sum(n4,n6))
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f9,f3961]) ).
fof(f3963,plain,
( n9 != sum(n10,n10)
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f76,f3962]) ).
fof(f3964,plain,
( n9 != n9
| ~ spl0_16
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f146,f3963]) ).
fof(f3965,plain,
( $false
| ~ spl0_16
| ~ spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f3964]) ).
fof(f3966,plain,
( ~ spl0_16
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f3965]) ).
fof(f3992,plain,
( sum(sum(n3,succ(n9)),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f267,f2210]) ).
fof(f3993,plain,
( sum(sum(n3,n10),sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f13,f3992]) ).
fof(f3994,plain,
( sum(n2,sum(pred(sk0_1),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f69,f3993]) ).
fof(f3995,plain,
( sum(n2,sum(pred(n9),n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f267,f3994]) ).
fof(f3996,plain,
( sum(n2,sum(n8,n5)) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f24,f3995]) ).
fof(f3997,plain,
( sum(n2,n2) != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f119,f3996]) ).
fof(f3998,plain,
( n4 != sum(n8,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f50,f3997]) ).
fof(f3999,plain,
( n4 != sum(n8,sum(pred(n9),succ(sk0_1)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f267,f3998]) ).
fof(f4000,plain,
( n4 != sum(n8,sum(n8,succ(sk0_1)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f24,f3999]) ).
fof(f4001,plain,
( n4 != sum(n8,sum(n8,succ(n9)))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f267,f4000]) ).
fof(f4002,plain,
( n4 != sum(n8,sum(n8,n10))
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f13,f4001]) ).
fof(f4003,plain,
( n4 != sum(n8,n7)
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f124,f4002]) ).
fof(f4004,plain,
( n4 != n4
| ~ spl0_20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f121,f4003]) ).
fof(f4005,plain,
( $false
| ~ spl0_20
| ~ spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f4004]) ).
fof(f4006,plain,
( ~ spl0_20
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f4005]) ).
fof(f4007,plain,
( sum(sum(pred(n4),n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f218,f2624]) ).
fof(f4008,plain,
( sum(sum(n3,n4),sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f19,f4007]) ).
fof(f4009,plain,
( sum(n7,sum(n2,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f63,f4008]) ).
fof(f4010,plain,
( sum(n7,sum(n2,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f218,f4009]) ).
fof(f4011,plain,
( sum(n7,sum(n2,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f8,f4010]) ).
fof(f4012,plain,
( sum(n7,n7) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f53,f4011]) ).
fof(f4013,plain,
( n3 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f110,f4012]) ).
fof(f4014,plain,
( n3 != sum(sum(pred(n4),succ(sk0_0)),n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f218,f4013]) ).
fof(f4015,plain,
( n3 != sum(sum(n3,succ(sk0_0)),n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f19,f4014]) ).
fof(f4016,plain,
( n3 != sum(sum(n3,succ(n4)),n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f218,f4015]) ).
fof(f4017,plain,
( n3 != sum(sum(n3,n5),n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f8,f4016]) ).
fof(f4018,plain,
( n3 != sum(n8,n6)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f64,f4017]) ).
fof(f4019,plain,
( n3 != n3
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f120,f4018]) ).
fof(f4020,plain,
( $false
| ~ spl0_4
| ~ spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f4019]) ).
fof(f4021,plain,
( ~ spl0_4
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f4020]) ).
fof(f4022,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f218,f3271]) ).
fof(f4023,plain,
( sum(sum(n3,n5),sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f19,f4022]) ).
fof(f4024,plain,
( sum(n8,sum(n3,succ(sk0_0))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f64,f4023]) ).
fof(f4025,plain,
( sum(n8,sum(n3,succ(n4))) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f218,f4024]) ).
fof(f4026,plain,
( sum(n8,sum(n3,n5)) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f8,f4025]) ).
fof(f4027,plain,
( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f64,f4026]) ).
fof(f4028,plain,
( n5 != sum(sum(pred(sk0_0),succ(sk0_0)),n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f122,f4027]) ).
fof(f4029,plain,
( n5 != sum(sum(pred(n4),succ(sk0_0)),n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f218,f4028]) ).
fof(f4030,plain,
( n5 != sum(sum(n3,succ(sk0_0)),n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f19,f4029]) ).
fof(f4031,plain,
( n5 != sum(sum(n3,succ(n4)),n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f218,f4030]) ).
fof(f4032,plain,
( n5 != sum(sum(n3,n5),n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f8,f4031]) ).
fof(f4033,plain,
( n5 != sum(n8,n8)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f64,f4032]) ).
fof(f4034,plain,
( n5 != n5
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f122,f4033]) ).
fof(f4035,plain,
( $false
| ~ spl0_4
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f4034]) ).
fof(f4036,plain,
( ~ spl0_4
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f4035]) ).
fof(f4057,plain,
( sum(sum(n4,succ(n8)),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f264,f3950]) ).
fof(f4058,plain,
( sum(sum(n4,n9),sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f12,f4057]) ).
fof(f4059,plain,
( sum(n2,sum(pred(sk0_1),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f79,f4058]) ).
fof(f4060,plain,
( sum(n2,sum(pred(n8),n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f264,f4059]) ).
fof(f4061,plain,
( sum(n2,sum(n7,n6)) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f23,f4060]) ).
fof(f4062,plain,
( sum(n2,n2) != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f109,f4061]) ).
fof(f4063,plain,
( n4 != sum(n10,sum(pred(sk0_1),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f50,f4062]) ).
fof(f4064,plain,
( n4 != sum(n10,sum(pred(n8),succ(sk0_1)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f264,f4063]) ).
fof(f4065,plain,
( n4 != sum(n10,sum(n7,succ(sk0_1)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f23,f4064]) ).
fof(f4066,plain,
( n4 != sum(n10,sum(n7,succ(n8)))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f264,f4065]) ).
fof(f4067,plain,
( n4 != sum(n10,sum(n7,n9))
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f12,f4066]) ).
fof(f4068,plain,
( n4 != sum(n10,n5)
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f112,f4067]) ).
fof(f4069,plain,
( n4 != n4
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f141,f4068]) ).
fof(f4070,plain,
( $false
| ~ spl0_19
| ~ spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f4069]) ).
fof(f4071,plain,
( ~ spl0_19
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f4070]) ).
fof(f4072,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,f3540]) ).
fof(f4073,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,f4072]) ).
fof(f4074,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,f4073]) ).
fof(f4075,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,f4074]) ).
fof(f4076,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,f4075]) ).
fof(f4077,plain,
( sum(n8,n8) != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f54,f4076]) ).
fof(f4078,plain,
( n5 != sum(sum(pred(sk0_0),succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f122,f4077]) ).
fof(f4079,plain,
( n5 != sum(sum(pred(n5),succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f221,f4078]) ).
fof(f4080,plain,
( n5 != sum(sum(n4,succ(sk0_0)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f20,f4079]) ).
fof(f4081,plain,
( n5 != sum(sum(n4,succ(n5)),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f221,f4080]) ).
fof(f4082,plain,
( n5 != sum(sum(n4,n6),n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f9,f4081]) ).
fof(f4083,plain,
( n5 != sum(n10,n6)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f76,f4082]) ).
fof(f4084,plain,
( n5 != n5
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f142,f4083]) ).
fof(f4085,plain,
( $false
| ~ spl0_5
| ~ spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f4084]) ).
fof(f4086,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f4085]) ).
fof(f4087,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,f1128]) ).
fof(f4088,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,f4087]) ).
fof(f4089,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,f4088]) ).
fof(f4090,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,f4089]) ).
fof(f4091,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,f4090]) ).
fof(f4092,plain,
( sum(n3,n3) != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f120,f4091]) ).
fof(f4093,plain,
( n6 != sum(sum(pred(sk0_0),succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f62,f4092]) ).
fof(f4094,plain,
( n6 != sum(sum(pred(n5),succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f221,f4093]) ).
fof(f4095,plain,
( n6 != sum(sum(n4,succ(sk0_0)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f20,f4094]) ).
fof(f4096,plain,
( n6 != sum(sum(n4,succ(n5)),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f221,f4095]) ).
fof(f4097,plain,
( n6 != sum(sum(n4,n6),n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f9,f4096]) ).
fof(f4098,plain,
( n6 != sum(n10,n7)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f76,f4097]) ).
fof(f4099,plain,
( n6 != n6
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f143,f4098]) ).
fof(f4100,plain,
( $false
| ~ spl0_5
| ~ spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f4099]) ).
fof(f4101,plain,
( ~ spl0_5
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f4100]) ).
fof(f4102,plain,
$false,
inference(sat_refutation,[status(thm)],[f238,f272,f373,f464,f505,f546,f587,f621,f655,f688,f730,f773,f815,f830,f854,f869,f892,f917,f941,f984,f1025,f1075,f1118,f1160,f1203,f1239,f1280,f1295,f1320,f1335,f1351,f1370,f1404,f1447,f1484,f1504,f1551,f1566,f1582,f1597,f1612,f1655,f1696,f1741,f1786,f1810,f1853,f1881,f1896,f1925,f1942,f1985,f2009,f2052,f2087,f2103,f2127,f2142,f2157,f2201,f2229,f2268,f2292,f2342,f2376,f2391,f2416,f2449,f2493,f2537,f2571,f2615,f2649,f2664,f2688,f2732,f2747,f2771,f2815,f2858,f2879,f2894,f2938,f2972,f2987,f3012,f3027,f3061,f3101,f3134,f3149,f3182,f3216,f3262,f3296,f3330,f3353,f3397,f3440,f3455,f3487,f3531,f3565,f3603,f3637,f3652,f3696,f3729,f3744,f3788,f3816,f3852,f3867,f3882,f3917,f3932,f3966,f4006,f4021,f4036,f4071,f4086,f4101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 20:32:20 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.47 % Elapsed time: 0.126788 seconds
% 0.19/0.47 % CPU time: 0.827403 seconds
% 0.19/0.47 % Total memory used: 35.832 MB
% 0.19/0.47 % Net memory used: 34.329 MB
%------------------------------------------------------------------------------