%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM376+1.010 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:39:07 PM UTC 2026
% Result : Unsatisfiable 0.43s 0.52s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 23
% Syntax : Number of formulae : 2592 ( 145 unt; 22 def)
% Number of atoms : 7440 (3027 equ)
% Maximal formula atoms : 221 ( 2 avg)
% Number of connectives : 11418 (6570 ~;4226 |; 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] :
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& sum(sum(pred(X),succ(Y)),sum(pred(Y),succ(X))) != sum(sum(pred(X),succ(X)),sum(pred(Y),succ(Y)))
& ( Y = n10
| Y = n9
| Y = n8
| Y = n7
| Y = n6
| Y = n5
| Y = n4
| Y = n3
| Y = n2
| Y = n1
| Y = n0 )
& ( X = n10
| X = n9
| X = n8
| X = n7
| X = n6
| X = n5
| X = n4
| X = n3
| X = n2
| X = n1
| X = n0 )
& sum(n10,n10) = n9
& sum(n10,n9) = n8
& sum(n10,n8) = n7
& sum(n10,n7) = n6
& sum(n10,n6) = n5
& sum(n10,n5) = n4
& sum(n10,n4) = n3
& sum(n10,n3) = n2
& sum(n10,n2) = n1
& sum(n10,n1) = n0
& sum(n10,n0) = n10
& sum(n9,n10) = n8
& sum(n9,n9) = n7
& sum(n9,n8) = n6
& sum(n9,n7) = n5
& sum(n9,n6) = n4
& sum(n9,n5) = n3
& sum(n9,n4) = n2
& sum(n9,n3) = n1
& sum(n9,n2) = n0
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n10) = n7
& sum(n8,n9) = n6
& sum(n8,n8) = n5
& sum(n8,n7) = n4
& sum(n8,n6) = n3
& sum(n8,n5) = n2
& sum(n8,n4) = n1
& sum(n8,n3) = n0
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n10) = n6
& sum(n7,n9) = n5
& sum(n7,n8) = n4
& sum(n7,n7) = n3
& sum(n7,n6) = n2
& sum(n7,n5) = n1
& sum(n7,n4) = n0
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n10) = n5
& sum(n6,n9) = n4
& sum(n6,n8) = n3
& sum(n6,n7) = n2
& sum(n6,n6) = n1
& sum(n6,n5) = n0
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n10) = n4
& sum(n5,n9) = n3
& sum(n5,n8) = n2
& sum(n5,n7) = n1
& sum(n5,n6) = n0
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n10) = n3
& sum(n4,n9) = n2
& sum(n4,n8) = n1
& sum(n4,n7) = n0
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n10) = n2
& sum(n3,n9) = n1
& sum(n3,n8) = n0
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n10) = n1
& sum(n2,n9) = n0
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n10) = n0
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n10
& succ(n10) = n0
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,plain,
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ? [X,Y] :
( sum(sum(pred(X),succ(Y)),sum(pred(Y),succ(X))) != sum(sum(pred(X),succ(X)),sum(pred(Y),succ(Y)))
& ( Y = n10
| Y = n9
| Y = n8
| Y = n7
| Y = n6
| Y = n5
| Y = n4
| Y = n3
| Y = n2
| Y = n1
| Y = n0 )
& ( X = n10
| X = n9
| X = n8
| X = n7
| X = n6
| X = n5
| X = n4
| X = n3
| X = n2
| X = n1
| X = n0 )
& sum(n10,n10) = n9
& sum(n10,n9) = n8
& sum(n10,n8) = n7
& sum(n10,n7) = n6
& sum(n10,n6) = n5
& sum(n10,n5) = n4
& sum(n10,n4) = n3
& sum(n10,n3) = n2
& sum(n10,n2) = n1
& sum(n10,n1) = n0
& sum(n10,n0) = n10
& sum(n9,n10) = n8
& sum(n9,n9) = n7
& sum(n9,n8) = n6
& sum(n9,n7) = n5
& sum(n9,n6) = n4
& sum(n9,n5) = n3
& sum(n9,n4) = n2
& sum(n9,n3) = n1
& sum(n9,n2) = n0
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n10) = n7
& sum(n8,n9) = n6
& sum(n8,n8) = n5
& sum(n8,n7) = n4
& sum(n8,n6) = n3
& sum(n8,n5) = n2
& sum(n8,n4) = n1
& sum(n8,n3) = n0
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n10) = n6
& sum(n7,n9) = n5
& sum(n7,n8) = n4
& sum(n7,n7) = n3
& sum(n7,n6) = n2
& sum(n7,n5) = n1
& sum(n7,n4) = n0
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n10) = n5
& sum(n6,n9) = n4
& sum(n6,n8) = n3
& sum(n6,n7) = n2
& sum(n6,n6) = n1
& sum(n6,n5) = n0
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n10) = n4
& sum(n5,n9) = n3
& sum(n5,n8) = n2
& sum(n5,n7) = n1
& sum(n5,n6) = n0
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n10) = n3
& sum(n4,n9) = n2
& sum(n4,n8) = n1
& sum(n4,n7) = n0
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n10) = n2
& sum(n3,n9) = n1
& sum(n3,n8) = n0
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n10) = n1
& sum(n2,n9) = n0
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n10) = n0
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n10
& succ(n10) = n0
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f3,plain,
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl)))
& ( sK1_skl = n10
| sK1_skl = n9
| sK1_skl = n8
| sK1_skl = n7
| sK1_skl = n6
| sK1_skl = n5
| sK1_skl = n4
| sK1_skl = n3
| sK1_skl = n2
| sK1_skl = n1
| sK1_skl = n0 )
& ( sK0_skl = n10
| sK0_skl = n9
| sK0_skl = n8
| sK0_skl = n7
| sK0_skl = n6
| sK0_skl = n5
| sK0_skl = n4
| sK0_skl = n3
| sK0_skl = n2
| sK0_skl = n1
| sK0_skl = n0 )
& sum(n10,n10) = n9
& sum(n10,n9) = n8
& sum(n10,n8) = n7
& sum(n10,n7) = n6
& sum(n10,n6) = n5
& sum(n10,n5) = n4
& sum(n10,n4) = n3
& sum(n10,n3) = n2
& sum(n10,n2) = n1
& sum(n10,n1) = n0
& sum(n10,n0) = n10
& sum(n9,n10) = n8
& sum(n9,n9) = n7
& sum(n9,n8) = n6
& sum(n9,n7) = n5
& sum(n9,n6) = n4
& sum(n9,n5) = n3
& sum(n9,n4) = n2
& sum(n9,n3) = n1
& sum(n9,n2) = n0
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n10) = n7
& sum(n8,n9) = n6
& sum(n8,n8) = n5
& sum(n8,n7) = n4
& sum(n8,n6) = n3
& sum(n8,n5) = n2
& sum(n8,n4) = n1
& sum(n8,n3) = n0
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n10) = n6
& sum(n7,n9) = n5
& sum(n7,n8) = n4
& sum(n7,n7) = n3
& sum(n7,n6) = n2
& sum(n7,n5) = n1
& sum(n7,n4) = n0
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n10) = n5
& sum(n6,n9) = n4
& sum(n6,n8) = n3
& sum(n6,n7) = n2
& sum(n6,n6) = n1
& sum(n6,n5) = n0
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n10) = n4
& sum(n5,n9) = n3
& sum(n5,n8) = n2
& sum(n5,n7) = n1
& sum(n5,n6) = n0
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n10) = n3
& sum(n4,n9) = n2
& sum(n4,n8) = n1
& sum(n4,n7) = n0
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n10) = n2
& sum(n3,n9) = n1
& sum(n3,n8) = n0
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n10) = n1
& sum(n2,n9) = n0
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n10) = n0
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n10
& succ(n10) = n0
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f2]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
succ(n10) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
pred(n0) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
pred(n1) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f17,plain,
pred(n2) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
pred(n3) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
pred(n4) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
pred(n5) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f21,plain,
pred(n6) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
pred(n7) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f23,plain,
pred(n8) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f24,plain,
pred(n9) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f25,plain,
pred(n10) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f26,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f27,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f28,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f29,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f30,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f31,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f32,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f33,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f34,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f35,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f36,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f37,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f38,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f39,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f40,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f41,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f42,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f43,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f44,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f45,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f46,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f47,plain,
sum(n1,n10) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f48,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f49,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f50,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f51,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f52,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f53,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f54,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f55,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f56,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f57,plain,
sum(n2,n9) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f58,plain,
sum(n2,n10) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f59,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f60,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f61,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f62,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f63,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f64,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f65,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f66,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f67,plain,
sum(n3,n8) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f68,plain,
sum(n3,n9) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f69,plain,
sum(n3,n10) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f71,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f72,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f77,plain,
sum(n4,n7) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f78,plain,
sum(n4,n8) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
sum(n4,n9) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
sum(n4,n10) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
sum(n5,n6) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
sum(n5,n7) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
sum(n5,n8) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
sum(n5,n9) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
sum(n5,n10) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
sum(n6,n5) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
sum(n6,n6) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
sum(n6,n7) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
sum(n6,n8) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
sum(n6,n9) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
sum(n6,n10) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
sum(n7,n4) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
sum(n7,n5) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
sum(n7,n6) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f110,plain,
sum(n7,n7) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
sum(n7,n8) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f112,plain,
sum(n7,n9) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f113,plain,
sum(n7,n10) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f117,plain,
sum(n8,n3) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
sum(n8,n4) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
sum(n8,n5) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
sum(n8,n6) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
sum(n8,n7) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
sum(n8,n8) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
sum(n8,n9) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
sum(n8,n10) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f127,plain,
sum(n9,n2) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f128,plain,
sum(n9,n3) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f129,plain,
sum(n9,n4) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f130,plain,
sum(n9,n5) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f131,plain,
sum(n9,n6) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f132,plain,
sum(n9,n7) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f133,plain,
sum(n9,n8) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f134,plain,
sum(n9,n9) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f135,plain,
sum(n9,n10) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f136,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f137,plain,
sum(n10,n1) = n0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f138,plain,
sum(n10,n2) = n1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f139,plain,
sum(n10,n3) = n2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f140,plain,
sum(n10,n4) = n3,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f141,plain,
sum(n10,n5) = n4,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f142,plain,
sum(n10,n6) = n5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f143,plain,
sum(n10,n7) = n6,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f144,plain,
sum(n10,n8) = n7,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f145,plain,
sum(n10,n9) = n8,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f146,plain,
sum(n10,n10) = n9,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f147,plain,
( sK0_skl = n10
| sK0_skl = n9
| sK0_skl = n8
| sK0_skl = n7
| sK0_skl = n6
| sK0_skl = n5
| sK0_skl = n4
| sK0_skl = n3
| sK0_skl = n2
| sK0_skl = n1
| sK0_skl = n0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f148,plain,
( sK1_skl = n10
| sK1_skl = n9
| sK1_skl = n8
| sK1_skl = n7
| sK1_skl = n6
| sK1_skl = n5
| sK1_skl = n4
| sK1_skl = n3
| sK1_skl = n2
| sK1_skl = n1
| sK1_skl = n0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f149,plain,
sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f205,definition,
( sQ0_spl
<=> sK0_skl = n0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ0_spl
| sK0_skl = n0 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
( sQ1_spl
<=> sK0_skl = n1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ1_spl
| sK0_skl = n1 ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ2_spl
<=> sK0_skl = n2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ2_spl
| sK0_skl = n2 ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ3_spl
<=> sK0_skl = n3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ3_spl
| sK0_skl = n3 ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ4_spl
<=> sK0_skl = n4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ4_spl
| sK0_skl = n4 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
( sQ5_spl
<=> sK0_skl = n5 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ5_spl
| sK0_skl = n5 ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,definition,
( sQ6_spl
<=> sK0_skl = n6 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ6_spl
| sK0_skl = n6 ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,definition,
( sQ7_spl
<=> sK0_skl = n7 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ7_spl
| sK0_skl = n7 ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ8_spl
<=> sK0_skl = n8 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ8_spl
| sK0_skl = n8 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ9_spl
<=> sK0_skl = n9 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ9_spl
| sK0_skl = n9 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ10_spl
<=> sK0_skl = n10 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ10_spl
| sK0_skl = n10 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( sQ10_spl
| sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f147,f205,f208,f211,f214,f217,f220,f223,f226,f229,f232,f235]) ).
fof(f239,definition,
( sQ11_spl
<=> sK1_skl = n0 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ11_spl
| sK1_skl = n0 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ12_spl
<=> sK1_skl = n1 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ12_spl
| sK1_skl = n1 ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ13_spl
<=> sK1_skl = n2 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ13_spl
| sK1_skl = n2 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ14_spl
<=> sK1_skl = n3 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ14_spl
| sK1_skl = n3 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
( sQ15_spl
<=> sK1_skl = n4 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ15_spl
| sK1_skl = n4 ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ16_spl
<=> sK1_skl = n5 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ16_spl
| sK1_skl = n5 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ17_spl
<=> sK1_skl = n6 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ17_spl
| sK1_skl = n6 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ18_spl
<=> sK1_skl = n7 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ18_spl
| sK1_skl = n7 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ19_spl
<=> sK1_skl = n8 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ19_spl
| sK1_skl = n8 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ20_spl
<=> sK1_skl = n9 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ20_spl
| sK1_skl = n9 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ21_spl
<=> sK1_skl = n10 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ21_spl
| sK1_skl = n10 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( sQ21_spl
| sQ20_spl
| sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f148,f239,f242,f245,f248,f251,f254,f257,f260,f263,f266,f269]) ).
fof(f293,plain,
( ~ sQ10_spl
| sum(sum(pred(n10),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f236,f149]) ).
fof(f294,plain,
( ~ sQ10_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f293]) ).
fof(f295,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sum(sum(n9,succ(n0)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f294]) ).
fof(f296,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sum(sum(n9,n1),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f295]) ).
fof(f297,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sum(n10,sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f126,f296]) ).
fof(f298,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sum(n10,sum(pred(n0),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f297]) ).
fof(f299,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sum(n10,sum(n10,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f298]) ).
fof(f300,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sum(n10,sum(n10,succ(n10))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f236,f299]) ).
fof(f301,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sum(n10,sum(n10,n0)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f300]) ).
fof(f302,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sum(n10,n10) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f136,f301]) ).
fof(f303,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f146,f302]) ).
fof(f304,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != sum(sum(pred(n10),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f236,f303]) ).
fof(f305,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != sum(sum(n9,succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f304]) ).
fof(f306,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != sum(sum(n9,succ(n10)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f236,f305]) ).
fof(f307,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != sum(sum(n9,n0),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f306]) ).
fof(f308,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != sum(n9,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f125,f307]) ).
fof(f309,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != sum(n9,sum(pred(n0),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f308]) ).
fof(f310,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != sum(n9,sum(n10,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f309]) ).
fof(f311,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != sum(n9,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f310]) ).
fof(f312,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != sum(n9,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f311]) ).
fof(f313,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != sum(n9,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f312]) ).
fof(f314,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f125,f313]) ).
fof(f315,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f314]) ).
fof(f316,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f315]) ).
fof(f342,plain,
( ~ sQ0_spl
| sum(sum(pred(n0),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f149]) ).
fof(f343,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f342]) ).
fof(f344,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sum(sum(n10,succ(n0)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f343]) ).
fof(f345,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sum(sum(n10,n1),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f344]) ).
fof(f346,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sum(n0,sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f137,f345]) ).
fof(f347,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sum(n0,sum(pred(n0),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f346]) ).
fof(f348,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sum(n0,sum(n10,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f347]) ).
fof(f349,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sum(n0,sum(n10,succ(n0))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f348]) ).
fof(f350,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sum(n0,sum(n10,n1)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f349]) ).
fof(f351,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sum(n0,n0) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f137,f350]) ).
fof(f352,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f26,f351]) ).
fof(f353,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != sum(sum(pred(n0),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f352]) ).
fof(f354,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != sum(sum(n10,succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f353]) ).
fof(f355,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != sum(sum(n10,succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f354]) ).
fof(f356,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != sum(sum(n10,n1),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f355]) ).
fof(f357,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f137,f356]) ).
fof(f358,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != sum(n0,sum(pred(n0),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f357]) ).
fof(f359,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != sum(n0,sum(n10,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f358]) ).
fof(f360,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != sum(n0,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f359]) ).
fof(f361,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != sum(n0,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f360]) ).
fof(f362,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != sum(n0,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f361]) ).
fof(f363,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f26,f362]) ).
fof(f364,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f363]) ).
fof(f365,plain,
( ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f364]) ).
fof(f374,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f243,f149]) ).
fof(f381,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f374]) ).
fof(f382,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f5,f381]) ).
fof(f383,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(pred(n1),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f382]) ).
fof(f384,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f383]) ).
fof(f385,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f384]) ).
fof(f386,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f385]) ).
fof(f387,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f386]) ).
fof(f388,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f28,f387]) ).
fof(f411,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| sum(sum(pred(sK0_skl),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),n2) ),
inference(backward_demodulation,[status(thm)],[f221,f388]) ).
fof(f413,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| sum(sum(pred(n5),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),n2) ),
inference(forward_demodulation,[status(thm)],[f221,f411]) ).
fof(f414,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| sum(sum(n4,n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),n2) ),
inference(forward_demodulation,[status(thm)],[f20,f413]) ).
fof(f415,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| sum(n6,sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),n2) ),
inference(forward_demodulation,[status(thm)],[f72,f414]) ).
fof(f416,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| sum(n6,sum(n0,succ(n5))) != sum(sum(pred(sK0_skl),succ(n5)),n2) ),
inference(forward_demodulation,[status(thm)],[f221,f415]) ).
fof(f417,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| sum(n6,sum(n0,n6)) != sum(sum(pred(sK0_skl),succ(n5)),n2) ),
inference(forward_demodulation,[status(thm)],[f9,f416]) ).
fof(f418,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| sum(n6,n6) != sum(sum(pred(sK0_skl),succ(n5)),n2) ),
inference(forward_demodulation,[status(thm)],[f32,f417]) ).
fof(f419,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| n1 != sum(sum(pred(sK0_skl),succ(n5)),n2) ),
inference(forward_demodulation,[status(thm)],[f98,f418]) ).
fof(f420,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| n1 != sum(sum(pred(n5),succ(n5)),n2) ),
inference(forward_demodulation,[status(thm)],[f221,f419]) ).
fof(f421,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| n1 != sum(sum(n4,succ(n5)),n2) ),
inference(forward_demodulation,[status(thm)],[f20,f420]) ).
fof(f422,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| n1 != sum(sum(n4,n6),n2) ),
inference(forward_demodulation,[status(thm)],[f9,f421]) ).
fof(f423,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| n1 != sum(n10,n2) ),
inference(forward_demodulation,[status(thm)],[f76,f422]) ).
fof(f424,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f138,f423]) ).
fof(f425,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f424]) ).
fof(f426,plain,
( ~ sQ12_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( ~ sQ1_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f209,f149]) ).
fof(f438,plain,
( ~ sQ1_spl
| sum(sum(pred(n1),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f427]) ).
fof(f439,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f438]) ).
fof(f440,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(n1))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f439]) ).
fof(f441,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f440]) ).
fof(f442,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(n1),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f441]) ).
fof(f443,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f442]) ).
fof(f444,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,n2),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f443]) ).
fof(f445,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f28,f444]) ).
fof(f452,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sum(sum(n0,succ(n2)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f445]) ).
fof(f453,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sum(sum(n0,n3),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f452]) ).
fof(f454,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sum(n3,sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f29,f453]) ).
fof(f455,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sum(n3,sum(pred(n2),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f454]) ).
fof(f456,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sum(n3,sum(n1,n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f455]) ).
fof(f457,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| sum(n3,n3) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f39,f456]) ).
fof(f458,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| n6 != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f62,f457]) ).
fof(f459,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| n6 != sum(n2,sum(pred(n2),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f458]) ).
fof(f460,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| n6 != sum(n2,sum(n1,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f459]) ).
fof(f461,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| n6 != sum(n2,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f460]) ).
fof(f462,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| n6 != sum(n2,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f461]) ).
fof(f463,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| n6 != sum(n2,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f462]) ).
fof(f464,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f52,f463]) ).
fof(f465,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f464]) ).
fof(f466,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f465]) ).
fof(f475,plain,
( ~ sQ7_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f227,f149]) ).
fof(f478,plain,
( ~ sQ7_spl
| sum(sum(pred(n7),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f475]) ).
fof(f479,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f478]) ).
fof(f480,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(n7))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f479]) ).
fof(f481,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f480]) ).
fof(f482,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f481]) ).
fof(f483,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(n6,succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f482]) ).
fof(f484,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(n6,n8),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f483]) ).
fof(f485,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f484]) ).
fof(f493,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sum(sum(n6,succ(n3)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f485]) ).
fof(f494,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sum(sum(n6,n4),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f493]) ).
fof(f495,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sum(n10,sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f96,f494]) ).
fof(f496,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sum(n10,sum(pred(n3),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f495]) ).
fof(f497,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sum(n10,sum(n2,n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f496]) ).
fof(f498,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| sum(n10,n10) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f56,f497]) ).
fof(f499,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| n9 != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f146,f498]) ).
fof(f500,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| n9 != sum(n3,sum(pred(n3),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f499]) ).
fof(f501,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| n9 != sum(n3,sum(n2,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f500]) ).
fof(f502,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| n9 != sum(n3,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f501]) ).
fof(f503,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| n9 != sum(n3,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f502]) ).
fof(f504,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| n9 != sum(n3,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f503]) ).
fof(f505,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f65,f504]) ).
fof(f506,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f505]) ).
fof(f507,plain,
( ~ sQ7_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f510,plain,
( ~ sQ3_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f215,f149]) ).
fof(f519,plain,
( ~ sQ3_spl
| sum(sum(pred(n3),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f510]) ).
fof(f520,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f519]) ).
fof(f521,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(n3))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f520]) ).
fof(f522,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f521]) ).
fof(f523,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f522]) ).
fof(f524,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f523]) ).
fof(f525,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,n4),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f524]) ).
fof(f526,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f52,f525]) ).
fof(f534,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| sum(sum(n2,succ(n4)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f526]) ).
fof(f535,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| sum(sum(n2,n5),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f534]) ).
fof(f536,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| sum(n7,sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f53,f535]) ).
fof(f537,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| sum(n7,sum(pred(n4),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f536]) ).
fof(f538,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| sum(n7,sum(n3,n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f537]) ).
fof(f539,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| sum(n7,n7) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f63,f538]) ).
fof(f540,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| n3 != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f110,f539]) ).
fof(f541,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| n3 != sum(n6,sum(pred(n4),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f540]) ).
fof(f542,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| n3 != sum(n6,sum(n3,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f541]) ).
fof(f543,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| n3 != sum(n6,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f542]) ).
fof(f544,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| n3 != sum(n6,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f543]) ).
fof(f545,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| n3 != sum(n6,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f544]) ).
fof(f546,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f100,f545]) ).
fof(f547,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f546]) ).
fof(f548,plain,
( ~ sQ3_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f547]) ).
fof(f557,plain,
( ~ sQ8_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f230,f149]) ).
fof(f560,plain,
( ~ sQ8_spl
| sum(sum(pred(n8),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f557]) ).
fof(f561,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f560]) ).
fof(f562,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),succ(n8))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f561]) ).
fof(f563,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f562]) ).
fof(f564,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(pred(n8),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f563]) ).
fof(f565,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(n7,succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f564]) ).
fof(f566,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(n7,n9),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f565]) ).
fof(f567,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f112,f566]) ).
fof(f576,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sum(sum(n7,succ(n5)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f567]) ).
fof(f577,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sum(sum(n7,n6),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f576]) ).
fof(f578,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sum(n2,sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f109,f577]) ).
fof(f579,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sum(n2,sum(pred(n5),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f578]) ).
fof(f580,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sum(n2,sum(n4,n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f579]) ).
fof(f581,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sum(n2,n2) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f79,f580]) ).
fof(f582,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| n4 != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f50,f581]) ).
fof(f583,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| n4 != sum(n5,sum(pred(n5),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f582]) ).
fof(f584,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| n4 != sum(n5,sum(n4,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f583]) ).
fof(f585,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| n4 != sum(n5,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f584]) ).
fof(f586,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| n4 != sum(n5,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f585]) ).
fof(f587,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| n4 != sum(n5,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f586]) ).
fof(f588,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f91,f587]) ).
fof(f589,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f588]) ).
fof(f590,plain,
( ~ sQ8_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f589]) ).
fof(f594,plain,
( ~ sQ4_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f218,f149]) ).
fof(f602,plain,
( ~ sQ4_spl
| sum(sum(pred(n4),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f594]) ).
fof(f603,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f602]) ).
fof(f604,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),succ(n4))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f603]) ).
fof(f605,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f604]) ).
fof(f606,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f605]) ).
fof(f607,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(n3,succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f606]) ).
fof(f608,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(n3,n5),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f607]) ).
fof(f609,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f64,f608]) ).
fof(f618,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sum(sum(n3,succ(n6)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f609]) ).
fof(f619,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sum(sum(n3,n7),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f618]) ).
fof(f620,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sum(n10,sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f66,f619]) ).
fof(f621,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sum(n10,sum(pred(n6),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f620]) ).
fof(f622,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sum(n10,sum(n5,n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f621]) ).
fof(f623,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| sum(n10,n10) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f86,f622]) ).
fof(f624,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| n9 != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f146,f623]) ).
fof(f625,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| n9 != sum(n8,sum(pred(n6),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f624]) ).
fof(f626,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| n9 != sum(n8,sum(n5,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f625]) ).
fof(f627,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| n9 != sum(n8,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f626]) ).
fof(f628,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| n9 != sum(n8,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f627]) ).
fof(f629,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| n9 != sum(n8,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f628]) ).
fof(f630,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f115,f629]) ).
fof(f631,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f630]) ).
fof(f632,plain,
( ~ sQ4_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f631]) ).
fof(f639,plain,
( ~ sQ6_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f224,f149]) ).
fof(f643,plain,
( ~ sQ6_spl
| sum(sum(pred(n6),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f639]) ).
fof(f644,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f643]) ).
fof(f645,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),succ(n6))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f644]) ).
fof(f646,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f645]) ).
fof(f647,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f646]) ).
fof(f648,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(n5,succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f647]) ).
fof(f649,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(n5,n7),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f648]) ).
fof(f650,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f88,f649]) ).
fof(f660,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| sum(sum(n5,succ(n7)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f650]) ).
fof(f661,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| sum(sum(n5,n8),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f660]) ).
fof(f662,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| sum(n2,sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f89,f661]) ).
fof(f663,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| sum(n2,sum(pred(n7),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f662]) ).
fof(f664,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| sum(n2,sum(n6,n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f663]) ).
fof(f665,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| sum(n2,n2) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f99,f664]) ).
fof(f666,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| n4 != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f50,f665]) ).
fof(f667,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| n4 != sum(n1,sum(pred(n7),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f666]) ).
fof(f668,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| n4 != sum(n1,sum(n6,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f667]) ).
fof(f669,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| n4 != sum(n1,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f668]) ).
fof(f670,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| n4 != sum(n1,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f669]) ).
fof(f671,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| n4 != sum(n1,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f670]) ).
fof(f672,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f40,f671]) ).
fof(f673,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f672]) ).
fof(f674,plain,
( ~ sQ6_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f673]) ).
fof(f679,plain,
( ~ sQ2_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f212,f149]) ).
fof(f685,plain,
( ~ sQ2_spl
| sum(sum(pred(n2),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f679]) ).
fof(f686,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f685]) ).
fof(f687,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(n2))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f686]) ).
fof(f688,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f687]) ).
fof(f689,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f688]) ).
fof(f690,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f689]) ).
fof(f691,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,n3),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f690]) ).
fof(f692,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f40,f691]) ).
fof(f702,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sum(sum(n1,succ(n8)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f692]) ).
fof(f703,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sum(sum(n1,n9),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f702]) ).
fof(f704,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sum(n10,sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f46,f703]) ).
fof(f705,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sum(n10,sum(pred(n8),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f704]) ).
fof(f706,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sum(n10,sum(n7,n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f705]) ).
fof(f707,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| sum(n10,n10) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f106,f706]) ).
fof(f708,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| n9 != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f146,f707]) ).
fof(f709,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| n9 != sum(n4,sum(pred(n8),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f708]) ).
fof(f710,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| n9 != sum(n4,sum(n7,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f709]) ).
fof(f711,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| n9 != sum(n4,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f710]) ).
fof(f712,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| n9 != sum(n4,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f711]) ).
fof(f713,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| n9 != sum(n4,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f712]) ).
fof(f714,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f75,f713]) ).
fof(f715,plain,
( ~ sQ2_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f714]) ).
fof(f716,plain,
( ~ sQ2_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f715]) ).
fof(f722,plain,
( ~ sQ0_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f206,f149]) ).
fof(f727,plain,
( ~ sQ0_spl
| sum(sum(pred(n0),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f722]) ).
fof(f728,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f727]) ).
fof(f729,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(n0))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f728]) ).
fof(f730,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f729]) ).
fof(f731,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f730]) ).
fof(f732,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f731]) ).
fof(f733,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,n1),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f732]) ).
fof(f734,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f137,f733]) ).
fof(f736,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(n0))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f343]) ).
fof(f737,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f736]) ).
fof(f738,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(n0),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f737]) ).
fof(f739,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f738]) ).
fof(f740,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f739]) ).
fof(f741,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,n1),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f740]) ).
fof(f742,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f137,f741]) ).
fof(f751,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f243,f742]) ).
fof(f753,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sum(sum(n10,succ(n1)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f751]) ).
fof(f754,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sum(sum(n10,n2),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f5,f753]) ).
fof(f755,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sum(n1,sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f138,f754]) ).
fof(f756,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sum(n1,sum(pred(n1),n1)) != sum(n0,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f755]) ).
fof(f757,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sum(n1,sum(n0,n1)) != sum(n0,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f756]) ).
fof(f758,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sum(n1,n1) != sum(n0,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f27,f757]) ).
fof(f759,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| n2 != sum(n0,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f38,f758]) ).
fof(f760,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| n2 != sum(n0,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f759]) ).
fof(f761,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| n2 != sum(n0,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f760]) ).
fof(f762,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| n2 != sum(n0,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f761]) ).
fof(f763,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| n2 != sum(n0,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f762]) ).
fof(f764,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f28,f763]) ).
fof(f765,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f764]) ).
fof(f766,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f769,plain,
( ~ sQ5_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f221,f149]) ).
fof(f778,plain,
( ~ sQ5_spl
| sum(sum(pred(n5),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f769]) ).
fof(f779,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f778]) ).
fof(f780,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(n5))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f779]) ).
fof(f781,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f780]) ).
fof(f782,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f781]) ).
fof(f783,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f782]) ).
fof(f784,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,n6),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f783]) ).
fof(f785,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f76,f784]) ).
fof(f795,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sum(sum(n4,succ(n3)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f785]) ).
fof(f796,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sum(sum(n4,n4),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f795]) ).
fof(f797,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sum(n8,sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f74,f796]) ).
fof(f798,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sum(n8,sum(pred(n3),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f797]) ).
fof(f799,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sum(n8,sum(n2,n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f798]) ).
fof(f800,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| sum(n8,n8) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f54,f799]) ).
fof(f801,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| n5 != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f122,f800]) ).
fof(f802,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| n5 != sum(n10,sum(pred(n3),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f801]) ).
fof(f803,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| n5 != sum(n10,sum(n2,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f802]) ).
fof(f804,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| n5 != sum(n10,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f803]) ).
fof(f805,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| n5 != sum(n10,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f804]) ).
fof(f806,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| n5 != sum(n10,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f805]) ).
fof(f807,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f142,f806]) ).
fof(f808,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f807]) ).
fof(f809,plain,
( ~ sQ5_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f808]) ).
fof(f817,plain,
( ~ sQ7_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f227,f149]) ).
fof(f821,plain,
( ~ sQ7_spl
| sum(sum(pred(n7),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f817]) ).
fof(f822,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f821]) ).
fof(f823,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(n7))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f822]) ).
fof(f824,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f823]) ).
fof(f825,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f824]) ).
fof(f826,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(n6,succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f825]) ).
fof(f827,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(n6,n8),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f826]) ).
fof(f828,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f827]) ).
fof(f829,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f255,f485]) ).
fof(f839,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sum(sum(n6,succ(n5)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f829]) ).
fof(f840,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sum(sum(n6,n6),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f9,f839]) ).
fof(f841,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sum(n1,sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f98,f840]) ).
fof(f842,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sum(n1,sum(pred(n5),n8)) != sum(n3,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f841]) ).
fof(f843,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sum(n1,sum(n4,n8)) != sum(n3,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f842]) ).
fof(f844,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| sum(n1,n1) != sum(n3,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f78,f843]) ).
fof(f845,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| n2 != sum(n3,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f38,f844]) ).
fof(f846,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| n2 != sum(n3,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f845]) ).
fof(f847,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| n2 != sum(n3,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f846]) ).
fof(f848,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| n2 != sum(n3,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f847]) ).
fof(f849,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| n2 != sum(n3,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f848]) ).
fof(f850,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f69,f849]) ).
fof(f851,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f850]) ).
fof(f852,plain,
( ~ sQ7_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f856,plain,
( ~ sQ8_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f230,f149]) ).
fof(f864,plain,
( ~ sQ8_spl
| sum(sum(pred(n8),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f856]) ).
fof(f865,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f864]) ).
fof(f866,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),succ(n8))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f865]) ).
fof(f867,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f866]) ).
fof(f868,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(pred(n8),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f867]) ).
fof(f869,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(n7,succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f868]) ).
fof(f870,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(n7,n9),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f869]) ).
fof(f871,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f112,f870]) ).
fof(f881,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sum(sum(n7,succ(n7)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f567]) ).
fof(f882,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sum(sum(n7,n8),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f881]) ).
fof(f883,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sum(n4,sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f111,f882]) ).
fof(f884,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sum(n4,sum(pred(n7),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f883]) ).
fof(f885,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sum(n4,sum(n6,n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f884]) ).
fof(f886,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sum(n4,n4) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f101,f885]) ).
fof(f887,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| n8 != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f74,f886]) ).
fof(f888,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| n8 != sum(n5,sum(pred(n7),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f887]) ).
fof(f889,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| n8 != sum(n5,sum(n6,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f888]) ).
fof(f890,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| n8 != sum(n5,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f889]) ).
fof(f891,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| n8 != sum(n5,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f890]) ).
fof(f892,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| n8 != sum(n5,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f891]) ).
fof(f893,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f84,f892]) ).
fof(f894,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f893]) ).
fof(f895,plain,
( ~ sQ8_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f894]) ).
fof(f903,plain,
( ~ sQ6_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f224,f149]) ).
fof(f906,plain,
( ~ sQ6_spl
| sum(sum(pred(n6),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f903]) ).
fof(f907,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f906]) ).
fof(f908,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),succ(n6))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f907]) ).
fof(f909,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f908]) ).
fof(f910,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f909]) ).
fof(f911,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(n5,succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f910]) ).
fof(f912,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(n5,n7),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f911]) ).
fof(f913,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f88,f912]) ).
fof(f914,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f246,f650]) ).
fof(f924,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sum(sum(n5,succ(n2)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f914]) ).
fof(f925,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sum(sum(n5,n3),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f6,f924]) ).
fof(f926,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sum(n8,sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f84,f925]) ).
fof(f927,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sum(n8,sum(pred(n2),n7)) != sum(n1,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f926]) ).
fof(f928,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sum(n8,sum(n1,n7)) != sum(n1,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f927]) ).
fof(f929,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| sum(n8,n8) != sum(n1,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f44,f928]) ).
fof(f930,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| n5 != sum(n1,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f122,f929]) ).
fof(f931,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| n5 != sum(n1,sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f930]) ).
fof(f932,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| n5 != sum(n1,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f931]) ).
fof(f933,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| n5 != sum(n1,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f932]) ).
fof(f934,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| n5 != sum(n1,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f933]) ).
fof(f935,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f41,f934]) ).
fof(f936,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f935]) ).
fof(f937,plain,
( ~ sQ6_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f936]) ).
fof(f940,plain,
( ~ sQ1_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f209,f149]) ).
fof(f948,plain,
( ~ sQ1_spl
| sum(sum(pred(n1),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f940]) ).
fof(f949,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f948]) ).
fof(f950,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(n1))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f949]) ).
fof(f951,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f950]) ).
fof(f952,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(n1),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f951]) ).
fof(f953,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f952]) ).
fof(f954,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,n2),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f953]) ).
fof(f955,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f28,f954]) ).
fof(f965,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sum(sum(n0,succ(n4)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f445]) ).
fof(f966,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sum(sum(n0,n5),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f965]) ).
fof(f967,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sum(n5,sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f31,f966]) ).
fof(f968,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sum(n5,sum(pred(n4),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f967]) ).
fof(f969,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sum(n5,sum(n3,n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f968]) ).
fof(f970,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sum(n5,n5) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f61,f969]) ).
fof(f971,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| n10 != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f86,f970]) ).
fof(f972,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| n10 != sum(n2,sum(pred(n4),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f971]) ).
fof(f973,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| n10 != sum(n2,sum(n3,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f972]) ).
fof(f974,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| n10 != sum(n2,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f973]) ).
fof(f975,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| n10 != sum(n2,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f974]) ).
fof(f976,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| n10 != sum(n2,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f975]) ).
fof(f977,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f56,f976]) ).
fof(f978,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f977]) ).
fof(f979,plain,
( ~ sQ1_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f986,plain,
( ~ sQ3_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f215,f149]) ).
fof(f990,plain,
( ~ sQ3_spl
| sum(sum(pred(n3),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f986]) ).
fof(f991,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f990]) ).
fof(f992,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(n3))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f991]) ).
fof(f993,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f992]) ).
fof(f994,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f993]) ).
fof(f995,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f994]) ).
fof(f996,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,n4),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f995]) ).
fof(f997,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f52,f996]) ).
fof(f1007,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| sum(sum(n2,succ(n6)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f526]) ).
fof(f1008,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| sum(sum(n2,n7),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f1007]) ).
fof(f1009,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| sum(n9,sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f55,f1008]) ).
fof(f1010,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| sum(n9,sum(pred(n6),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f1009]) ).
fof(f1011,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| sum(n9,sum(n5,n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f1010]) ).
fof(f1012,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| sum(n9,n9) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f85,f1011]) ).
fof(f1013,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| n7 != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f134,f1012]) ).
fof(f1014,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| n7 != sum(n6,sum(pred(n6),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f1013]) ).
fof(f1015,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| n7 != sum(n6,sum(n5,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f1014]) ).
fof(f1016,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| n7 != sum(n6,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f1015]) ).
fof(f1017,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| n7 != sum(n6,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f1016]) ).
fof(f1018,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| n7 != sum(n6,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f1017]) ).
fof(f1019,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f93,f1018]) ).
fof(f1020,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1019]) ).
fof(f1021,plain,
( ~ sQ3_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1026,plain,
( ~ sQ4_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f218,f149]) ).
fof(f1032,plain,
( ~ sQ4_spl
| sum(sum(pred(n4),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f1026]) ).
fof(f1033,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f1032]) ).
fof(f1034,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),succ(n4))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f1033]) ).
fof(f1035,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f1034]) ).
fof(f1036,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f1035]) ).
fof(f1037,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(n3,succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f1036]) ).
fof(f1038,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(n3,n5),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f1037]) ).
fof(f1039,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f64,f1038]) ).
fof(f1040,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f264,f609]) ).
fof(f1050,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sum(sum(n3,succ(n8)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f1040]) ).
fof(f1051,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sum(sum(n3,n9),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f12,f1050]) ).
fof(f1052,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sum(n1,sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f68,f1051]) ).
fof(f1053,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sum(n1,sum(pred(n8),n5)) != sum(n8,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f1052]) ).
fof(f1054,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sum(n1,sum(n7,n5)) != sum(n8,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f1053]) ).
fof(f1055,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sum(n1,n1) != sum(n8,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f108,f1054]) ).
fof(f1056,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| n2 != sum(n8,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f38,f1055]) ).
fof(f1057,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| n2 != sum(n8,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f1056]) ).
fof(f1058,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| n2 != sum(n8,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f1057]) ).
fof(f1059,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| n2 != sum(n8,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f1058]) ).
fof(f1060,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| n2 != sum(n8,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f1059]) ).
fof(f1061,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f119,f1060]) ).
fof(f1062,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1061]) ).
fof(f1063,plain,
( ~ sQ4_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1062]) ).
fof(f1069,plain,
( ~ sQ2_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f212,f149]) ).
fof(f1074,plain,
( ~ sQ2_spl
| sum(sum(pred(n2),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f1069]) ).
fof(f1075,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f1074]) ).
fof(f1076,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(n2))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f1075]) ).
fof(f1077,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f1076]) ).
fof(f1078,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f1077]) ).
fof(f1079,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f1078]) ).
fof(f1080,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,n3),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f1079]) ).
fof(f1081,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f40,f1080]) ).
fof(f1091,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sum(sum(n1,succ(n3)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f692]) ).
fof(f1092,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sum(sum(n1,n4),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f1091]) ).
fof(f1093,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sum(n5,sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f41,f1092]) ).
fof(f1094,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sum(n5,sum(pred(n3),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f1093]) ).
fof(f1095,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sum(n5,sum(n2,n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f1094]) ).
fof(f1096,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| sum(n5,n5) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f51,f1095]) ).
fof(f1097,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| n10 != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f86,f1096]) ).
fof(f1098,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| n10 != sum(n4,sum(pred(n3),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f1097]) ).
fof(f1099,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| n10 != sum(n4,sum(n2,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f1098]) ).
fof(f1100,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| n10 != sum(n4,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f1099]) ).
fof(f1101,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| n10 != sum(n4,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f1100]) ).
fof(f1102,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| n10 != sum(n4,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f1101]) ).
fof(f1103,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f76,f1102]) ).
fof(f1104,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1103]) ).
fof(f1105,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1104]) ).
fof(f1109,plain,
( ~ sQ0_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f206,f149]) ).
fof(f1116,plain,
( ~ sQ0_spl
| sum(sum(pred(n0),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f1109]) ).
fof(f1117,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f1116]) ).
fof(f1118,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(n0))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f1117]) ).
fof(f1119,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f1118]) ).
fof(f1120,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f1119]) ).
fof(f1121,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f1120]) ).
fof(f1122,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,n1),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f1121]) ).
fof(f1123,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f137,f1122]) ).
fof(f1133,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sum(sum(n10,succ(n5)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f734]) ).
fof(f1134,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sum(sum(n10,n6),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f1133]) ).
fof(f1135,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sum(n5,sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f142,f1134]) ).
fof(f1136,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sum(n5,sum(pred(n5),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f1135]) ).
fof(f1137,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sum(n5,sum(n4,n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f1136]) ).
fof(f1138,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| sum(n5,n5) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f71,f1137]) ).
fof(f1139,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| n10 != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f86,f1138]) ).
fof(f1140,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| n10 != sum(n0,sum(pred(n5),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f1139]) ).
fof(f1141,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| n10 != sum(n0,sum(n4,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f1140]) ).
fof(f1142,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| n10 != sum(n0,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f1141]) ).
fof(f1143,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| n10 != sum(n0,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f1142]) ).
fof(f1144,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| n10 != sum(n0,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f1143]) ).
fof(f1145,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f36,f1144]) ).
fof(f1146,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1145]) ).
fof(f1147,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1146]) ).
fof(f1153,plain,
( ~ sQ9_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f233,f149]) ).
fof(f1159,plain,
( ~ sQ9_spl
| sum(sum(pred(n9),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f1153]) ).
fof(f1160,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f1159]) ).
fof(f1161,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),succ(n9))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f1160]) ).
fof(f1162,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f1161]) ).
fof(f1163,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f1162]) ).
fof(f1164,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(n8,succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f1163]) ).
fof(f1165,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(n8,n10),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f1164]) ).
fof(f1166,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f124,f1165]) ).
fof(f1176,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| sum(sum(n8,succ(n0)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f1166]) ).
fof(f1177,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| sum(sum(n8,n1),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f1176]) ).
fof(f1178,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| sum(n9,sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f115,f1177]) ).
fof(f1179,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| sum(n9,sum(pred(n0),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f1178]) ).
fof(f1180,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| sum(n9,sum(n10,n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f1179]) ).
fof(f1181,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| sum(n9,n9) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f146,f1180]) ).
fof(f1182,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| n7 != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f134,f1181]) ).
fof(f1183,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| n7 != sum(n7,sum(pred(n0),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f1182]) ).
fof(f1184,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| n7 != sum(n7,sum(n10,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f1183]) ).
fof(f1185,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| n7 != sum(n7,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f1184]) ).
fof(f1186,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| n7 != sum(n7,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f1185]) ).
fof(f1187,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| n7 != sum(n7,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f1186]) ).
fof(f1188,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f103,f1187]) ).
fof(f1189,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1188]) ).
fof(f1190,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1189]) ).
fof(f1200,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f261,f1166]) ).
fof(f1201,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sum(sum(n8,succ(n7)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f1200]) ).
fof(f1202,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sum(sum(n8,n8),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f11,f1201]) ).
fof(f1203,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sum(n5,sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f122,f1202]) ).
fof(f1204,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sum(n5,sum(pred(n7),n10)) != sum(n7,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f1203]) ).
fof(f1205,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sum(n5,sum(n6,n10)) != sum(n7,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f1204]) ).
fof(f1206,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sum(n5,n5) != sum(n7,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f102,f1205]) ).
fof(f1207,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| n10 != sum(n7,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f86,f1206]) ).
fof(f1208,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| n10 != sum(n7,sum(pred(n7),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f1207]) ).
fof(f1209,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| n10 != sum(n7,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f1208]) ).
fof(f1210,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| n10 != sum(n7,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f1209]) ).
fof(f1211,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| n10 != sum(n7,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f1210]) ).
fof(f1212,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f106,f1211]) ).
fof(f1213,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1212]) ).
fof(f1214,plain,
( ~ sQ9_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1213]) ).
fof(f1224,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| sum(sum(n8,succ(n4)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f1166]) ).
fof(f1225,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| sum(sum(n8,n5),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f1224]) ).
fof(f1226,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| sum(n2,sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f119,f1225]) ).
fof(f1227,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| sum(n2,sum(pred(n4),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f1226]) ).
fof(f1228,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| sum(n2,sum(n3,n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f1227]) ).
fof(f1229,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| sum(n2,n2) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f69,f1228]) ).
fof(f1230,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| n4 != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f50,f1229]) ).
fof(f1231,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| n4 != sum(n7,sum(pred(n4),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f1230]) ).
fof(f1232,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| n4 != sum(n7,sum(n3,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f1231]) ).
fof(f1233,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| n4 != sum(n7,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f1232]) ).
fof(f1234,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| n4 != sum(n7,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f1233]) ).
fof(f1235,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| n4 != sum(n7,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f1234]) ).
fof(f1236,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f111,f1235]) ).
fof(f1237,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1236]) ).
fof(f1238,plain,
( ~ sQ9_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1237]) ).
fof(f1257,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f258,f742]) ).
fof(f1267,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sum(sum(n10,succ(n6)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f1257]) ).
fof(f1268,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sum(sum(n10,n7),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f10,f1267]) ).
fof(f1269,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sum(n6,sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f143,f1268]) ).
fof(f1270,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sum(n6,sum(pred(n6),n1)) != sum(n0,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f1269]) ).
fof(f1271,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sum(n6,sum(n5,n1)) != sum(n0,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f1270]) ).
fof(f1272,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sum(n6,n6) != sum(n0,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f82,f1271]) ).
fof(f1273,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| n1 != sum(n0,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f98,f1272]) ).
fof(f1274,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| n1 != sum(n0,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f1273]) ).
fof(f1275,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| n1 != sum(n0,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f1274]) ).
fof(f1276,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| n1 != sum(n0,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f1275]) ).
fof(f1277,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| n1 != sum(n0,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f1276]) ).
fof(f1278,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f27,f1277]) ).
fof(f1279,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1278]) ).
fof(f1280,plain,
( ~ sQ0_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f1286,plain,
( ~ sQ5_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f221,f149]) ).
fof(f1291,plain,
( ~ sQ5_spl
| sum(sum(pred(n5),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f1286]) ).
fof(f1292,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f1291]) ).
fof(f1293,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(n5))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f1292]) ).
fof(f1294,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f1293]) ).
fof(f1295,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f1294]) ).
fof(f1296,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f1295]) ).
fof(f1297,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,n6),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f1296]) ).
fof(f1298,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f76,f1297]) ).
fof(f1308,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sum(sum(n4,succ(n8)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f785]) ).
fof(f1309,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sum(sum(n4,n9),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f1308]) ).
fof(f1310,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sum(n2,sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f79,f1309]) ).
fof(f1311,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sum(n2,sum(pred(n8),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f1310]) ).
fof(f1312,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sum(n2,sum(n7,n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f1311]) ).
fof(f1313,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| sum(n2,n2) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f109,f1312]) ).
fof(f1314,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| n4 != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f50,f1313]) ).
fof(f1315,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| n4 != sum(n10,sum(pred(n8),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f1314]) ).
fof(f1316,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| n4 != sum(n10,sum(n7,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f1315]) ).
fof(f1317,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| n4 != sum(n10,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f1316]) ).
fof(f1318,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| n4 != sum(n10,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f1317]) ).
fof(f1319,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| n4 != sum(n10,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f1318]) ).
fof(f1320,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f141,f1319]) ).
fof(f1321,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1320]) ).
fof(f1322,plain,
( ~ sQ5_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1321]) ).
fof(f1326,plain,
( ~ sQ7_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f227,f149]) ).
fof(f1333,plain,
( ~ sQ7_spl
| sum(sum(pred(n7),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f1326]) ).
fof(f1334,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f1333]) ).
fof(f1335,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(n7))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f1334]) ).
fof(f1336,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f1335]) ).
fof(f1337,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f1336]) ).
fof(f1338,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(n6,succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f1337]) ).
fof(f1339,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(n6,n8),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f1338]) ).
fof(f1340,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f1339]) ).
fof(f1350,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sum(sum(n6,succ(n1)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f243,f828]) ).
fof(f1351,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sum(sum(n6,n2),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f1350]) ).
fof(f1352,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sum(n8,sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f94,f1351]) ).
fof(f1353,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sum(n8,sum(pred(n1),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f243,f1352]) ).
fof(f1354,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sum(n8,sum(n0,n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f1353]) ).
fof(f1355,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| sum(n8,n8) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f34,f1354]) ).
fof(f1356,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| n5 != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f122,f1355]) ).
fof(f1357,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| n5 != sum(n3,sum(pred(n1),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f243,f1356]) ).
fof(f1358,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| n5 != sum(n3,sum(n0,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f1357]) ).
fof(f1359,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| n5 != sum(n3,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f1358]) ).
fof(f1360,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| n5 != sum(n3,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f1359]) ).
fof(f1361,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| n5 != sum(n3,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f1360]) ).
fof(f1362,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f61,f1361]) ).
fof(f1363,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1362]) ).
fof(f1364,plain,
( ~ sQ7_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1363]) ).
fof(f1369,plain,
( ~ sQ8_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f230,f149]) ).
fof(f1375,plain,
( ~ sQ8_spl
| sum(sum(pred(n8),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f1369]) ).
fof(f1376,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f1375]) ).
fof(f1377,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),succ(n8))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f1376]) ).
fof(f1378,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f1377]) ).
fof(f1379,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(pred(n8),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f1378]) ).
fof(f1380,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(n7,succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f1379]) ).
fof(f1381,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(n7,n9),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f1380]) ).
fof(f1382,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f112,f1381]) ).
fof(f1392,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f246,f871]) ).
fof(f1393,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sum(sum(n7,succ(n2)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f1392]) ).
fof(f1394,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sum(sum(n7,n3),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f6,f1393]) ).
fof(f1395,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sum(n10,sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f106,f1394]) ).
fof(f1396,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sum(n10,sum(pred(n2),n9)) != sum(n5,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f1395]) ).
fof(f1397,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sum(n10,sum(n1,n9)) != sum(n5,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f1396]) ).
fof(f1398,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| sum(n10,n10) != sum(n5,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f46,f1397]) ).
fof(f1399,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| n9 != sum(n5,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f146,f1398]) ).
fof(f1400,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| n9 != sum(n5,sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f1399]) ).
fof(f1401,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| n9 != sum(n5,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f1400]) ).
fof(f1402,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| n9 != sum(n5,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f1401]) ).
fof(f1403,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| n9 != sum(n5,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f1402]) ).
fof(f1404,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f85,f1403]) ).
fof(f1405,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1404]) ).
fof(f1406,plain,
( ~ sQ8_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1405]) ).
fof(f1416,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f243,f149]) ).
fof(f1417,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f1416]) ).
fof(f1418,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f5,f1417]) ).
fof(f1419,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(pred(n1),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f1418]) ).
fof(f1420,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f1419]) ).
fof(f1421,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f1420]) ).
fof(f1422,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f1421]) ).
fof(f1423,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f1422]) ).
fof(f1424,plain,
( ~ sQ12_spl
| sum(sum(pred(sK0_skl),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f28,f1423]) ).
fof(f1434,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| sum(sum(pred(n6),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f224,f388]) ).
fof(f1435,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| sum(sum(n5,n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f21,f1434]) ).
fof(f1436,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| sum(n7,sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f83,f1435]) ).
fof(f1437,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| sum(n7,sum(n0,succ(n6))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f224,f1436]) ).
fof(f1438,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| sum(n7,sum(n0,n7)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f10,f1437]) ).
fof(f1439,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| sum(n7,n7) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f33,f1438]) ).
fof(f1440,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| n3 != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f110,f1439]) ).
fof(f1441,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| n3 != sum(sum(pred(n6),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f224,f1440]) ).
fof(f1442,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| n3 != sum(sum(n5,succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f21,f1441]) ).
fof(f1443,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| n3 != sum(sum(n5,succ(n6)),n2) ),
inference(forward_demodulation,[status(thm)],[f224,f1442]) ).
fof(f1444,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| n3 != sum(sum(n5,n7),n2) ),
inference(forward_demodulation,[status(thm)],[f10,f1443]) ).
fof(f1445,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| n3 != sum(n1,n2) ),
inference(forward_demodulation,[status(thm)],[f88,f1444]) ).
fof(f1446,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f39,f1445]) ).
fof(f1447,plain,
( ~ sQ12_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1446]) ).
fof(f1448,plain,
( ~ sQ12_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1447]) ).
fof(f1449,plain,
( ~ sQ1_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f209,f149]) ).
fof(f1459,plain,
( ~ sQ1_spl
| sum(sum(pred(n1),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f1449]) ).
fof(f1460,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f1459]) ).
fof(f1461,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(n1))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f1460]) ).
fof(f1462,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f1461]) ).
fof(f1463,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(n1),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f1462]) ).
fof(f1464,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f1463]) ).
fof(f1465,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,n2),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f1464]) ).
fof(f1466,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f28,f1465]) ).
fof(f1467,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f255,f955]) ).
fof(f1477,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| sum(sum(n0,succ(n5)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f1467]) ).
fof(f1478,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| sum(sum(n0,n6),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f9,f1477]) ).
fof(f1479,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| sum(n6,sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f32,f1478]) ).
fof(f1480,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| sum(n6,sum(pred(n5),n2)) != sum(n2,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f1479]) ).
fof(f1481,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| sum(n6,sum(n4,n2)) != sum(n2,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f1480]) ).
fof(f1482,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| sum(n6,n6) != sum(n2,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f72,f1481]) ).
fof(f1483,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| n1 != sum(n2,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f98,f1482]) ).
fof(f1484,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| n1 != sum(n2,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f1483]) ).
fof(f1485,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| n1 != sum(n2,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f1484]) ).
fof(f1486,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| n1 != sum(n2,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f1485]) ).
fof(f1487,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| n1 != sum(n2,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f1486]) ).
fof(f1488,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f58,f1487]) ).
fof(f1489,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1488]) ).
fof(f1490,plain,
( ~ sQ1_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1489]) ).
fof(f1499,plain,
( ~ sQ2_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f212,f149]) ).
fof(f1501,plain,
( ~ sQ2_spl
| sum(sum(pred(n2),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f1499]) ).
fof(f1502,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f1501]) ).
fof(f1503,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(n2))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f1502]) ).
fof(f1504,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f1503]) ).
fof(f1505,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f1504]) ).
fof(f1506,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f1505]) ).
fof(f1507,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,n3),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f1506]) ).
fof(f1508,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f40,f1507]) ).
fof(f1518,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| sum(sum(n1,succ(n7)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f1081]) ).
fof(f1519,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| sum(sum(n1,n8),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f1518]) ).
fof(f1520,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| sum(n9,sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f45,f1519]) ).
fof(f1521,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| sum(n9,sum(pred(n7),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f1520]) ).
fof(f1522,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| sum(n9,sum(n6,n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f1521]) ).
fof(f1523,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| sum(n9,n9) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f95,f1522]) ).
fof(f1524,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| n7 != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f134,f1523]) ).
fof(f1525,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| n7 != sum(n4,sum(pred(n7),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f1524]) ).
fof(f1526,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| n7 != sum(n4,sum(n6,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f1525]) ).
fof(f1527,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| n7 != sum(n4,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f1526]) ).
fof(f1528,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| n7 != sum(n4,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f1527]) ).
fof(f1529,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| n7 != sum(n4,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f1528]) ).
fof(f1530,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f73,f1529]) ).
fof(f1531,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1530]) ).
fof(f1532,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1531]) ).
fof(f1533,plain,
( ~ sQ3_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f215,f149]) ).
fof(f1543,plain,
( ~ sQ3_spl
| sum(sum(pred(n3),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f1533]) ).
fof(f1544,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f1543]) ).
fof(f1545,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(n3))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f1544]) ).
fof(f1546,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f1545]) ).
fof(f1547,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f1546]) ).
fof(f1548,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f1547]) ).
fof(f1549,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,n4),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f1548]) ).
fof(f1550,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f52,f1549]) ).
fof(f1560,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sum(sum(n2,succ(n2)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f997]) ).
fof(f1561,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sum(sum(n2,n3),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f1560]) ).
fof(f1562,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sum(n5,sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f51,f1561]) ).
fof(f1563,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sum(n5,sum(pred(n2),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f1562]) ).
fof(f1564,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sum(n5,sum(n1,n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f1563]) ).
fof(f1565,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| sum(n5,n5) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f41,f1564]) ).
fof(f1566,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| n10 != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f86,f1565]) ).
fof(f1567,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| n10 != sum(n6,sum(pred(n2),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f1566]) ).
fof(f1568,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| n10 != sum(n6,sum(n1,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f1567]) ).
fof(f1569,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| n10 != sum(n6,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f1568]) ).
fof(f1570,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| n10 != sum(n6,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f1569]) ).
fof(f1571,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| n10 != sum(n6,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f1570]) ).
fof(f1572,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f96,f1571]) ).
fof(f1573,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1572]) ).
fof(f1574,plain,
( ~ sQ3_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1573]) ).
fof(f1582,plain,
( ~ sQ4_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f218,f149]) ).
fof(f1585,plain,
( ~ sQ4_spl
| sum(sum(pred(n4),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f1582]) ).
fof(f1586,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f1585]) ).
fof(f1587,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),succ(n4))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f1586]) ).
fof(f1588,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f1587]) ).
fof(f1589,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f1588]) ).
fof(f1590,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(n3,succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f1589]) ).
fof(f1591,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(n3,n5),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f1590]) ).
fof(f1592,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f64,f1591]) ).
fof(f1593,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f249,f1039]) ).
fof(f1603,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sum(sum(n3,succ(n3)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f1593]) ).
fof(f1604,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sum(sum(n3,n4),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f7,f1603]) ).
fof(f1605,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sum(n7,sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f63,f1604]) ).
fof(f1606,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sum(n7,sum(pred(n3),n5)) != sum(n8,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f1605]) ).
fof(f1607,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sum(n7,sum(n2,n5)) != sum(n8,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f1606]) ).
fof(f1608,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sum(n7,n7) != sum(n8,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f53,f1607]) ).
fof(f1609,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| n3 != sum(n8,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f110,f1608]) ).
fof(f1610,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| n3 != sum(n8,sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f1609]) ).
fof(f1611,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| n3 != sum(n8,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f1610]) ).
fof(f1612,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| n3 != sum(n8,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f1611]) ).
fof(f1613,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| n3 != sum(n8,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f1612]) ).
fof(f1614,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f120,f1613]) ).
fof(f1615,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1614]) ).
fof(f1616,plain,
( ~ sQ4_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1615]) ).
fof(f1635,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f258,f445]) ).
fof(f1645,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sum(sum(n0,succ(n6)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f1635]) ).
fof(f1646,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sum(sum(n0,n7),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f10,f1645]) ).
fof(f1647,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sum(n7,sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f33,f1646]) ).
fof(f1648,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sum(n7,sum(pred(n6),n2)) != sum(n2,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f1647]) ).
fof(f1649,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sum(n7,sum(n5,n2)) != sum(n2,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f1648]) ).
fof(f1650,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| sum(n7,n7) != sum(n2,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f83,f1649]) ).
fof(f1651,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| n3 != sum(n2,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f110,f1650]) ).
fof(f1652,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| n3 != sum(n2,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f1651]) ).
fof(f1653,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| n3 != sum(n2,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f1652]) ).
fof(f1654,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| n3 != sum(n2,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f1653]) ).
fof(f1655,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| n3 != sum(n2,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f1654]) ).
fof(f1656,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f49,f1655]) ).
fof(f1657,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1656]) ).
fof(f1658,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1657]) ).
fof(f1686,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| sum(sum(n2,succ(n8)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f526]) ).
fof(f1687,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| sum(sum(n2,n9),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f1686]) ).
fof(f1688,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| sum(n0,sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f57,f1687]) ).
fof(f1689,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| sum(n0,sum(pred(n8),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f1688]) ).
fof(f1690,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| sum(n0,sum(n7,n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f1689]) ).
fof(f1691,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| sum(n0,n0) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f107,f1690]) ).
fof(f1692,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| n0 != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f26,f1691]) ).
fof(f1693,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| n0 != sum(n6,sum(pred(n8),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f1692]) ).
fof(f1694,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| n0 != sum(n6,sum(n7,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f1693]) ).
fof(f1695,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| n0 != sum(n6,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f1694]) ).
fof(f1696,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| n0 != sum(n6,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f1695]) ).
fof(f1697,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| n0 != sum(n6,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f1696]) ).
fof(f1698,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f97,f1697]) ).
fof(f1699,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1698]) ).
fof(f1700,plain,
( ~ sQ3_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1699]) ).
fof(f1702,plain,
( ~ sQ4_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f218,f149]) ).
fof(f1711,plain,
( ~ sQ4_spl
| sum(sum(pred(n4),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f1702]) ).
fof(f1712,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f1711]) ).
fof(f1713,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),succ(n4))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f1712]) ).
fof(f1714,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f1713]) ).
fof(f1715,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f1714]) ).
fof(f1716,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(n3,succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f1715]) ).
fof(f1717,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(n3,n5),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f1716]) ).
fof(f1718,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f64,f1717]) ).
fof(f1719,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f252,f609]) ).
fof(f1729,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sum(sum(n3,succ(n4)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f1719]) ).
fof(f1730,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sum(sum(n3,n5),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f8,f1729]) ).
fof(f1731,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sum(n8,sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f64,f1730]) ).
fof(f1732,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sum(n8,sum(pred(n4),n5)) != sum(n8,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f1731]) ).
fof(f1733,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sum(n8,sum(n3,n5)) != sum(n8,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f1732]) ).
fof(f1734,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| sum(n8,n8) != sum(n8,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f64,f1733]) ).
fof(f1735,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| n5 != sum(n8,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f122,f1734]) ).
fof(f1736,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| n5 != sum(n8,sum(pred(n4),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f1735]) ).
fof(f1737,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| n5 != sum(n8,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f1736]) ).
fof(f1738,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| n5 != sum(n8,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f1737]) ).
fof(f1739,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| n5 != sum(n8,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f1738]) ).
fof(f1740,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f122,f1739]) ).
fof(f1741,plain,
( ~ sQ4_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1740]) ).
fof(f1742,plain,
( ~ sQ4_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1741]) ).
fof(f1761,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f243,f692]) ).
fof(f1771,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sum(sum(n1,succ(n1)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f1761]) ).
fof(f1772,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sum(sum(n1,n2),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f5,f1771]) ).
fof(f1773,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sum(n3,sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f39,f1772]) ).
fof(f1774,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sum(n3,sum(pred(n1),n3)) != sum(n4,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f1773]) ).
fof(f1775,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sum(n3,sum(n0,n3)) != sum(n4,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f1774]) ).
fof(f1776,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sum(n3,n3) != sum(n4,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f29,f1775]) ).
fof(f1777,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| n6 != sum(n4,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f62,f1776]) ).
fof(f1778,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| n6 != sum(n4,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f1777]) ).
fof(f1779,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| n6 != sum(n4,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f1778]) ).
fof(f1780,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| n6 != sum(n4,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f1779]) ).
fof(f1781,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| n6 != sum(n4,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f1780]) ).
fof(f1782,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f72,f1781]) ).
fof(f1783,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1782]) ).
fof(f1784,plain,
( ~ sQ2_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1783]) ).
fof(f1786,plain,
( ~ sQ5_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f221,f149]) ).
fof(f1795,plain,
( ~ sQ5_spl
| sum(sum(pred(n5),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f1786]) ).
fof(f1796,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f1795]) ).
fof(f1797,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(n5))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f1796]) ).
fof(f1798,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f1797]) ).
fof(f1799,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f1798]) ).
fof(f1800,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f1799]) ).
fof(f1801,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,n6),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f1800]) ).
fof(f1802,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f76,f1801]) ).
fof(f1803,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f267,f1298]) ).
fof(f1814,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sum(sum(n4,succ(n9)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f1803]) ).
fof(f1815,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sum(sum(n4,n10),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f13,f1814]) ).
fof(f1816,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sum(n3,sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f80,f1815]) ).
fof(f1817,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sum(n3,sum(pred(n9),n6)) != sum(n10,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f1816]) ).
fof(f1818,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sum(n3,sum(n8,n6)) != sum(n10,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f1817]) ).
fof(f1819,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sum(n3,n3) != sum(n10,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f120,f1818]) ).
fof(f1820,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| n6 != sum(n10,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f62,f1819]) ).
fof(f1821,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| n6 != sum(n10,sum(pred(n9),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f1820]) ).
fof(f1822,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| n6 != sum(n10,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f1821]) ).
fof(f1823,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| n6 != sum(n10,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f1822]) ).
fof(f1824,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| n6 != sum(n10,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f1823]) ).
fof(f1825,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f143,f1824]) ).
fof(f1826,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1825]) ).
fof(f1827,plain,
( ~ sQ5_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1826]) ).
fof(f1828,plain,
( ~ sQ20_spl
| sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f267,f149]) ).
fof(f1829,plain,
( ~ sQ20_spl
| sum(sum(pred(sK0_skl),n10),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f1828]) ).
fof(f1830,plain,
( ~ sQ20_spl
| sum(sum(pred(sK0_skl),n10),sum(pred(n9),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f267,f1829]) ).
fof(f1831,plain,
( ~ sQ20_spl
| sum(sum(pred(sK0_skl),n10),sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f1830]) ).
fof(f1832,plain,
( ~ sQ20_spl
| sum(sum(pred(sK0_skl),n10),sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(n9),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f267,f1831]) ).
fof(f1833,plain,
( ~ sQ20_spl
| sum(sum(pred(sK0_skl),n10),sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n8,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f1832]) ).
fof(f1834,plain,
( ~ sQ20_spl
| sum(sum(pred(sK0_skl),n10),sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f1833]) ).
fof(f1835,plain,
( ~ sQ20_spl
| sum(sum(pred(sK0_skl),n10),sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f1834]) ).
fof(f1836,plain,
( ~ sQ20_spl
| sum(sum(pred(sK0_skl),n10),sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f124,f1835]) ).
fof(f1837,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| sum(sum(n6,succ(n9)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f267,f485]) ).
fof(f1838,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| sum(sum(n6,n10),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f1837]) ).
fof(f1839,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| sum(n5,sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f102,f1838]) ).
fof(f1840,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| sum(n5,sum(pred(n9),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f267,f1839]) ).
fof(f1841,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| sum(n5,sum(n8,n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f1840]) ).
fof(f1842,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| sum(n5,n5) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f122,f1841]) ).
fof(f1843,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| n10 != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f86,f1842]) ).
fof(f1844,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| n10 != sum(n3,sum(pred(n9),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f267,f1843]) ).
fof(f1845,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| n10 != sum(n3,sum(n8,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f1844]) ).
fof(f1846,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| n10 != sum(n3,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f1845]) ).
fof(f1847,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| n10 != sum(n3,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f1846]) ).
fof(f1848,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| n10 != sum(n3,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f1847]) ).
fof(f1849,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f66,f1848]) ).
fof(f1850,plain,
( ~ sQ7_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1849]) ).
fof(f1851,plain,
( ~ sQ7_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1850]) ).
fof(f1861,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f249,f1382]) ).
fof(f1862,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sum(sum(n7,succ(n3)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f1861]) ).
fof(f1863,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sum(sum(n7,n4),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f7,f1862]) ).
fof(f1864,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sum(n0,sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f107,f1863]) ).
fof(f1865,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sum(n0,sum(pred(n3),n9)) != sum(n5,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f1864]) ).
fof(f1866,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sum(n0,sum(n2,n9)) != sum(n5,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f1865]) ).
fof(f1867,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sum(n0,n0) != sum(n5,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f57,f1866]) ).
fof(f1868,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| n0 != sum(n5,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f26,f1867]) ).
fof(f1869,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| n0 != sum(n5,sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f1868]) ).
fof(f1870,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| n0 != sum(n5,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f1869]) ).
fof(f1871,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| n0 != sum(n5,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f1870]) ).
fof(f1872,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| n0 != sum(n5,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f1871]) ).
fof(f1873,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f87,f1872]) ).
fof(f1874,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1873]) ).
fof(f1875,plain,
( ~ sQ8_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1874]) ).
fof(f1894,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f267,f913]) ).
fof(f1904,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| sum(sum(n5,succ(n9)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f1894]) ).
fof(f1905,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| sum(sum(n5,n10),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f13,f1904]) ).
fof(f1906,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| sum(n4,sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f91,f1905]) ).
fof(f1907,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| sum(n4,sum(pred(n9),n7)) != sum(n1,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f1906]) ).
fof(f1908,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| sum(n4,sum(n8,n7)) != sum(n1,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f1907]) ).
fof(f1909,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| sum(n4,n4) != sum(n1,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f121,f1908]) ).
fof(f1910,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| n8 != sum(n1,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f74,f1909]) ).
fof(f1911,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| n8 != sum(n1,sum(pred(n9),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f1910]) ).
fof(f1912,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| n8 != sum(n1,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f1911]) ).
fof(f1913,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| n8 != sum(n1,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f1912]) ).
fof(f1914,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| n8 != sum(n1,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f1913]) ).
fof(f1915,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f44,f1914]) ).
fof(f1916,plain,
( ~ sQ6_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1915]) ).
fof(f1917,plain,
( ~ sQ6_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1916]) ).
fof(f1918,plain,
( ~ sQ9_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f233,f149]) ).
fof(f1928,plain,
( ~ sQ9_spl
| sum(sum(pred(n9),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f1918]) ).
fof(f1929,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f1928]) ).
fof(f1930,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),succ(n9))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f1929]) ).
fof(f1931,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f1930]) ).
fof(f1932,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f1931]) ).
fof(f1933,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(n8,succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f1932]) ).
fof(f1934,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(n8,n10),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f1933]) ).
fof(f1935,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f124,f1934]) ).
fof(f1936,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sum(sum(n8,succ(n2)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f1166]) ).
fof(f1937,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sum(sum(n8,n3),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f1936]) ).
fof(f1938,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sum(n0,sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f117,f1937]) ).
fof(f1939,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sum(n0,sum(pred(n2),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f1938]) ).
fof(f1940,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sum(n0,sum(n1,n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f1939]) ).
fof(f1941,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| sum(n0,n0) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f47,f1940]) ).
fof(f1942,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| n0 != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f26,f1941]) ).
fof(f1943,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| n0 != sum(n7,sum(pred(n2),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f1942]) ).
fof(f1944,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| n0 != sum(n7,sum(n1,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f1943]) ).
fof(f1945,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| n0 != sum(n7,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f1944]) ).
fof(f1946,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| n0 != sum(n7,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f1945]) ).
fof(f1947,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| n0 != sum(n7,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f1946]) ).
fof(f1948,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f107,f1947]) ).
fof(f1949,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1948]) ).
fof(f1950,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1949]) ).
fof(f1969,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f261,f1123]) ).
fof(f1979,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sum(sum(n10,succ(n7)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f1969]) ).
fof(f1980,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sum(sum(n10,n8),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f11,f1979]) ).
fof(f1981,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sum(n7,sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f144,f1980]) ).
fof(f1982,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sum(n7,sum(pred(n7),n1)) != sum(n0,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f1981]) ).
fof(f1983,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sum(n7,sum(n6,n1)) != sum(n0,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f1982]) ).
fof(f1984,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sum(n7,n7) != sum(n0,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f93,f1983]) ).
fof(f1985,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| n3 != sum(n0,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f110,f1984]) ).
fof(f1986,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| n3 != sum(n0,sum(pred(n7),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f1985]) ).
fof(f1987,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| n3 != sum(n0,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f1986]) ).
fof(f1988,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| n3 != sum(n0,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f1987]) ).
fof(f1989,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| n3 != sum(n0,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f1988]) ).
fof(f1990,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f29,f1989]) ).
fof(f1991,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1990]) ).
fof(f1992,plain,
( ~ sQ0_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1991]) ).
fof(f2001,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f252,f734]) ).
fof(f2003,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sum(sum(n10,succ(n4)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f2001]) ).
fof(f2004,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sum(sum(n10,n5),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f8,f2003]) ).
fof(f2005,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sum(n4,sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f141,f2004]) ).
fof(f2006,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sum(n4,sum(pred(n4),n1)) != sum(n0,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f2005]) ).
fof(f2007,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sum(n4,sum(n3,n1)) != sum(n0,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f2006]) ).
fof(f2008,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sum(n4,n4) != sum(n0,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f60,f2007]) ).
fof(f2009,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| n8 != sum(n0,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f74,f2008]) ).
fof(f2010,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| n8 != sum(n0,sum(pred(n4),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f2009]) ).
fof(f2011,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| n8 != sum(n0,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f2010]) ).
fof(f2012,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| n8 != sum(n0,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f2011]) ).
fof(f2013,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| n8 != sum(n0,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f2012]) ).
fof(f2014,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f34,f2013]) ).
fof(f2015,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2014]) ).
fof(f2016,plain,
( ~ sQ0_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2015]) ).
fof(f2045,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sum(sum(n8,succ(n8)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f1935]) ).
fof(f2046,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sum(sum(n8,n9),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f2045]) ).
fof(f2047,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sum(n6,sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f123,f2046]) ).
fof(f2048,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sum(n6,sum(pred(n8),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f2047]) ).
fof(f2049,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sum(n6,sum(n7,n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f2048]) ).
fof(f2050,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sum(n6,n6) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f113,f2049]) ).
fof(f2051,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| n1 != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f98,f2050]) ).
fof(f2052,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| n1 != sum(n7,sum(pred(n8),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f2051]) ).
fof(f2053,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| n1 != sum(n7,sum(n7,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f2052]) ).
fof(f2054,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| n1 != sum(n7,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f2053]) ).
fof(f2055,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| n1 != sum(n7,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f2054]) ).
fof(f2056,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| n1 != sum(n7,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f2055]) ).
fof(f2057,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f108,f2056]) ).
fof(f2058,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2057]) ).
fof(f2059,plain,
( ~ sQ9_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2058]) ).
fof(f2078,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f267,f1466]) ).
fof(f2088,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| sum(sum(n0,succ(n9)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f2078]) ).
fof(f2089,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| sum(sum(n0,n10),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f13,f2088]) ).
fof(f2090,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| sum(n10,sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f36,f2089]) ).
fof(f2091,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| sum(n10,sum(pred(n9),n2)) != sum(n2,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f2090]) ).
fof(f2092,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| sum(n10,sum(n8,n2)) != sum(n2,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f2091]) ).
fof(f2093,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| sum(n10,n10) != sum(n2,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f116,f2092]) ).
fof(f2094,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| n9 != sum(n2,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f146,f2093]) ).
fof(f2095,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| n9 != sum(n2,sum(pred(n9),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f2094]) ).
fof(f2096,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| n9 != sum(n2,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f2095]) ).
fof(f2097,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| n9 != sum(n2,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f2096]) ).
fof(f2098,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| n9 != sum(n2,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f2097]) ).
fof(f2099,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f55,f2098]) ).
fof(f2100,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2099]) ).
fof(f2101,plain,
( ~ sQ1_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2100]) ).
fof(f2129,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f255,f1508]) ).
fof(f2130,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sum(sum(n1,succ(n5)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f2129]) ).
fof(f2131,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sum(sum(n1,n6),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f9,f2130]) ).
fof(f2132,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sum(n7,sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f43,f2131]) ).
fof(f2133,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sum(n7,sum(pred(n5),n3)) != sum(n4,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f2132]) ).
fof(f2134,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sum(n7,sum(n4,n3)) != sum(n4,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f2133]) ).
fof(f2135,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| sum(n7,n7) != sum(n4,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f73,f2134]) ).
fof(f2136,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| n3 != sum(n4,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f110,f2135]) ).
fof(f2137,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| n3 != sum(n4,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f2136]) ).
fof(f2138,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| n3 != sum(n4,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f2137]) ).
fof(f2139,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| n3 != sum(n4,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f2138]) ).
fof(f2140,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| n3 != sum(n4,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f2139]) ).
fof(f2141,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f80,f2140]) ).
fof(f2142,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2141]) ).
fof(f2143,plain,
( ~ sQ2_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f2142]) ).
fof(f2171,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f243,f1550]) ).
fof(f2172,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sum(sum(n2,succ(n1)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f2171]) ).
fof(f2173,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sum(sum(n2,n2),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f5,f2172]) ).
fof(f2174,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sum(n4,sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f50,f2173]) ).
fof(f2175,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sum(n4,sum(pred(n1),n4)) != sum(n6,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f2174]) ).
fof(f2176,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sum(n4,sum(n0,n4)) != sum(n6,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f2175]) ).
fof(f2177,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sum(n4,n4) != sum(n6,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f30,f2176]) ).
fof(f2178,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| n8 != sum(n6,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f74,f2177]) ).
fof(f2179,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| n8 != sum(n6,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f2178]) ).
fof(f2180,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| n8 != sum(n6,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f2179]) ).
fof(f2181,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| n8 != sum(n6,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f2180]) ).
fof(f2182,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| n8 != sum(n6,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f2181]) ).
fof(f2183,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f94,f2182]) ).
fof(f2184,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2183]) ).
fof(f2185,plain,
( ~ sQ3_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2184]) ).
fof(f2213,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| sum(sum(n3,succ(n5)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f1592]) ).
fof(f2214,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| sum(sum(n3,n6),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f2213]) ).
fof(f2215,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| sum(n9,sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f65,f2214]) ).
fof(f2216,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| sum(n9,sum(pred(n5),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f2215]) ).
fof(f2217,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| sum(n9,sum(n4,n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f2216]) ).
fof(f2218,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| sum(n9,n9) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f75,f2217]) ).
fof(f2219,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| n7 != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f134,f2218]) ).
fof(f2220,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| n7 != sum(n8,sum(pred(n5),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f2219]) ).
fof(f2221,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| n7 != sum(n8,sum(n4,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f2220]) ).
fof(f2222,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| n7 != sum(n8,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f2221]) ).
fof(f2223,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| n7 != sum(n8,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f2222]) ).
fof(f2224,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| n7 != sum(n8,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f2223]) ).
fof(f2225,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f124,f2224]) ).
fof(f2226,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2225]) ).
fof(f2227,plain,
( ~ sQ4_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f2226]) ).
fof(f2232,plain,
( ~ sQ5_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f221,f149]) ).
fof(f2238,plain,
( ~ sQ5_spl
| sum(sum(pred(n5),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f2232]) ).
fof(f2239,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f2238]) ).
fof(f2240,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(n5))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f2239]) ).
fof(f2241,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f2240]) ).
fof(f2242,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f2241]) ).
fof(f2243,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f2242]) ).
fof(f2244,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,n6),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f2243]) ).
fof(f2245,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f76,f2244]) ).
fof(f2246,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f258,f785]) ).
fof(f2256,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sum(sum(n4,succ(n6)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f2246]) ).
fof(f2257,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sum(sum(n4,n7),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f10,f2256]) ).
fof(f2258,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sum(n0,sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f77,f2257]) ).
fof(f2259,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sum(n0,sum(pred(n6),n6)) != sum(n10,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f2258]) ).
fof(f2260,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sum(n0,sum(n5,n6)) != sum(n10,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f2259]) ).
fof(f2261,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sum(n0,n0) != sum(n10,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f87,f2260]) ).
fof(f2262,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| n0 != sum(n10,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f26,f2261]) ).
fof(f2263,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| n0 != sum(n10,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f2262]) ).
fof(f2264,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| n0 != sum(n10,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f2263]) ).
fof(f2265,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| n0 != sum(n10,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f2264]) ).
fof(f2266,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| n0 != sum(n10,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f2265]) ).
fof(f2267,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f137,f2266]) ).
fof(f2268,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2267]) ).
fof(f2269,plain,
( ~ sQ5_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2268]) ).
fof(f2270,plain,
( ~ sQ17_spl
| sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f149]) ).
fof(f2271,plain,
( ~ sQ17_spl
| sum(sum(pred(sK0_skl),n7),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f2270]) ).
fof(f2272,plain,
( ~ sQ17_spl
| sum(sum(pred(sK0_skl),n7),sum(pred(n6),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f2271]) ).
fof(f2273,plain,
( ~ sQ17_spl
| sum(sum(pred(sK0_skl),n7),sum(n5,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f2272]) ).
fof(f2274,plain,
( ~ sQ17_spl
| sum(sum(pred(sK0_skl),n7),sum(n5,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(n6),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f2273]) ).
fof(f2275,plain,
( ~ sQ17_spl
| sum(sum(pred(sK0_skl),n7),sum(n5,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n5,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f2274]) ).
fof(f2276,plain,
( ~ sQ17_spl
| sum(sum(pred(sK0_skl),n7),sum(n5,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f2275]) ).
fof(f2277,plain,
( ~ sQ17_spl
| sum(sum(pred(sK0_skl),n7),sum(n5,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f2276]) ).
fof(f2278,plain,
( ~ sQ17_spl
| sum(sum(pred(sK0_skl),n7),sum(n5,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n1) ),
inference(forward_demodulation,[status(thm)],[f88,f2277]) ).
fof(f2279,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sum(sum(n6,succ(n6)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f1340]) ).
fof(f2280,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sum(sum(n6,n7),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f2279]) ).
fof(f2281,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sum(n2,sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f99,f2280]) ).
fof(f2282,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sum(n2,sum(pred(n6),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f2281]) ).
fof(f2283,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sum(n2,sum(n5,n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f2282]) ).
fof(f2284,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sum(n2,n2) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f89,f2283]) ).
fof(f2285,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| n4 != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f50,f2284]) ).
fof(f2286,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| n4 != sum(n3,sum(pred(n6),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f2285]) ).
fof(f2287,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| n4 != sum(n3,sum(n5,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f2286]) ).
fof(f2288,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| n4 != sum(n3,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f2287]) ).
fof(f2289,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| n4 != sum(n3,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f2288]) ).
fof(f2290,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| n4 != sum(n3,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f2289]) ).
fof(f2291,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f60,f2290]) ).
fof(f2292,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2291]) ).
fof(f2293,plain,
( ~ sQ7_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2292]) ).
fof(f2312,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n0))) ),
inference(backward_demodulation,[status(thm)],[f240,f871]) ).
fof(f2322,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| sum(sum(n7,succ(n0)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2312]) ).
fof(f2323,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| sum(sum(n7,n1),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f4,f2322]) ).
fof(f2324,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| sum(n8,sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f104,f2323]) ).
fof(f2325,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| sum(n8,sum(pred(n0),n9)) != sum(n5,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2324]) ).
fof(f2326,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| sum(n8,sum(n10,n9)) != sum(n5,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f2325]) ).
fof(f2327,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| sum(n8,n8) != sum(n5,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f145,f2326]) ).
fof(f2328,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| n5 != sum(n5,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f122,f2327]) ).
fof(f2329,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| n5 != sum(n5,sum(pred(n0),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2328]) ).
fof(f2330,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| n5 != sum(n5,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f2329]) ).
fof(f2331,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| n5 != sum(n5,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f2330]) ).
fof(f2332,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| n5 != sum(n5,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f2331]) ).
fof(f2333,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f81,f2332]) ).
fof(f2334,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2333]) ).
fof(f2335,plain,
( ~ sQ8_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2334]) ).
fof(f2354,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sum(sum(n6,succ(n4)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f828]) ).
fof(f2355,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sum(sum(n6,n5),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f2354]) ).
fof(f2356,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sum(n0,sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f97,f2355]) ).
fof(f2357,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sum(n0,sum(pred(n4),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f2356]) ).
fof(f2358,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sum(n0,sum(n3,n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f2357]) ).
fof(f2359,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sum(n0,n0) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f67,f2358]) ).
fof(f2360,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| n0 != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f26,f2359]) ).
fof(f2361,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| n0 != sum(n3,sum(pred(n4),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f2360]) ).
fof(f2362,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| n0 != sum(n3,sum(n3,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f2361]) ).
fof(f2363,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| n0 != sum(n3,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f2362]) ).
fof(f2364,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| n0 != sum(n3,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f2363]) ).
fof(f2365,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| n0 != sum(n3,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f2364]) ).
fof(f2366,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f67,f2365]) ).
fof(f2367,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2366]) ).
fof(f2368,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2367]) ).
fof(f2369,plain,
( ~ sQ6_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f224,f149]) ).
fof(f2379,plain,
( ~ sQ6_spl
| sum(sum(pred(n6),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f2369]) ).
fof(f2380,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f2379]) ).
fof(f2381,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),succ(n6))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f2380]) ).
fof(f2382,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f2381]) ).
fof(f2383,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f2382]) ).
fof(f2384,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(n5,succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f2383]) ).
fof(f2385,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(n5,n7),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f2384]) ).
fof(f2386,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f88,f2385]) ).
fof(f2387,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f249,f650]) ).
fof(f2397,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sum(sum(n5,succ(n3)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f2387]) ).
fof(f2398,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sum(sum(n5,n4),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f7,f2397]) ).
fof(f2399,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sum(n9,sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f85,f2398]) ).
fof(f2400,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sum(n9,sum(pred(n3),n7)) != sum(n1,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f2399]) ).
fof(f2401,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sum(n9,sum(n2,n7)) != sum(n1,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f2400]) ).
fof(f2402,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sum(n9,n9) != sum(n1,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f55,f2401]) ).
fof(f2403,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| n7 != sum(n1,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f134,f2402]) ).
fof(f2404,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| n7 != sum(n1,sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f2403]) ).
fof(f2405,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| n7 != sum(n1,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f2404]) ).
fof(f2406,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| n7 != sum(n1,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f2405]) ).
fof(f2407,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| n7 != sum(n1,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f2406]) ).
fof(f2408,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f43,f2407]) ).
fof(f2409,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2408]) ).
fof(f2410,plain,
( ~ sQ6_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2409]) ).
fof(f2419,plain,
( ~ sQ0_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f206,f149]) ).
fof(f2421,plain,
( ~ sQ0_spl
| sum(sum(pred(n0),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f2419]) ).
fof(f2422,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f2421]) ).
fof(f2423,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(n0))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f2422]) ).
fof(f2424,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f2423]) ).
fof(f2425,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f2424]) ).
fof(f2426,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f2425]) ).
fof(f2427,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,n1),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f2426]) ).
fof(f2428,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f137,f2427]) ).
fof(f2438,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sum(sum(n10,succ(n8)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f734]) ).
fof(f2439,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sum(sum(n10,n9),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f2438]) ).
fof(f2440,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sum(n8,sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f145,f2439]) ).
fof(f2441,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sum(n8,sum(pred(n8),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f2440]) ).
fof(f2442,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sum(n8,sum(n7,n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f2441]) ).
fof(f2443,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| sum(n8,n8) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f104,f2442]) ).
fof(f2444,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| n5 != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f122,f2443]) ).
fof(f2445,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| n5 != sum(n0,sum(pred(n8),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f2444]) ).
fof(f2446,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| n5 != sum(n0,sum(n7,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f2445]) ).
fof(f2447,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| n5 != sum(n0,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f2446]) ).
fof(f2448,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| n5 != sum(n0,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f2447]) ).
fof(f2449,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| n5 != sum(n0,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f2448]) ).
fof(f2450,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f31,f2449]) ).
fof(f2451,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2450]) ).
fof(f2452,plain,
( ~ sQ0_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2451]) ).
fof(f2453,plain,
( ~ sQ9_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f233,f149]) ).
fof(f2463,plain,
( ~ sQ9_spl
| sum(sum(pred(n9),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f2453]) ).
fof(f2464,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f2463]) ).
fof(f2465,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),succ(n9))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f2464]) ).
fof(f2466,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f2465]) ).
fof(f2467,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f2466]) ).
fof(f2468,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(n8,succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f2467]) ).
fof(f2469,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(n8,n10),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f2468]) ).
fof(f2470,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f124,f2469]) ).
fof(f2479,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f267,f1166]) ).
fof(f2481,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sum(sum(n8,succ(n9)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f2479]) ).
fof(f2482,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sum(sum(n8,n10),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f13,f2481]) ).
fof(f2483,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sum(n7,sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f124,f2482]) ).
fof(f2484,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sum(n7,sum(pred(n9),n10)) != sum(n7,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f2483]) ).
fof(f2485,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sum(n7,sum(n8,n10)) != sum(n7,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f2484]) ).
fof(f2486,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| sum(n7,n7) != sum(n7,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f124,f2485]) ).
fof(f2487,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| n3 != sum(n7,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f110,f2486]) ).
fof(f2488,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| n3 != sum(n7,sum(pred(n9),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f2487]) ).
fof(f2489,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| n3 != sum(n7,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f2488]) ).
fof(f2490,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| n3 != sum(n7,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f2489]) ).
fof(f2491,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| n3 != sum(n7,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f2490]) ).
fof(f2492,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f110,f2491]) ).
fof(f2493,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2492]) ).
fof(f2494,plain,
( ~ sQ9_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2493]) ).
fof(f2504,plain,
( ~ sQ1_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f209,f149]) ).
fof(f2505,plain,
( ~ sQ1_spl
| sum(sum(pred(n1),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f2504]) ).
fof(f2506,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f2505]) ).
fof(f2507,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(n1))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f2506]) ).
fof(f2508,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f2507]) ).
fof(f2509,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(n1),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f2508]) ).
fof(f2510,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f2509]) ).
fof(f2511,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,n2),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f2510]) ).
fof(f2512,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f28,f2511]) ).
fof(f2521,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f261,f955]) ).
fof(f2523,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sum(sum(n0,succ(n7)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f2521]) ).
fof(f2524,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sum(sum(n0,n8),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f11,f2523]) ).
fof(f2525,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sum(n8,sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f34,f2524]) ).
fof(f2526,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sum(n8,sum(pred(n7),n2)) != sum(n2,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f2525]) ).
fof(f2527,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sum(n8,sum(n6,n2)) != sum(n2,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f2526]) ).
fof(f2528,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sum(n8,n8) != sum(n2,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f94,f2527]) ).
fof(f2529,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| n5 != sum(n2,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f122,f2528]) ).
fof(f2530,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| n5 != sum(n2,sum(pred(n7),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f2529]) ).
fof(f2531,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| n5 != sum(n2,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f2530]) ).
fof(f2532,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| n5 != sum(n2,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f2531]) ).
fof(f2533,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| n5 != sum(n2,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f2532]) ).
fof(f2534,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f51,f2533]) ).
fof(f2535,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2534]) ).
fof(f2536,plain,
( ~ sQ1_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2535]) ).
fof(f2538,plain,
( ~ sQ3_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f215,f149]) ).
fof(f2547,plain,
( ~ sQ3_spl
| sum(sum(pred(n3),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f2538]) ).
fof(f2548,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f2547]) ).
fof(f2549,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(n3))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f2548]) ).
fof(f2550,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f2549]) ).
fof(f2551,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f2550]) ).
fof(f2552,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f2551]) ).
fof(f2553,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,n4),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f2552]) ).
fof(f2554,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f52,f2553]) ).
fof(f2555,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n0))) ),
inference(backward_demodulation,[status(thm)],[f240,f1550]) ).
fof(f2565,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| sum(sum(n2,succ(n0)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2555]) ).
fof(f2566,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| sum(sum(n2,n1),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f4,f2565]) ).
fof(f2567,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| sum(n3,sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f49,f2566]) ).
fof(f2568,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| sum(n3,sum(pred(n0),n4)) != sum(n6,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2567]) ).
fof(f2569,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| sum(n3,sum(n10,n4)) != sum(n6,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f2568]) ).
fof(f2570,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| sum(n3,n3) != sum(n6,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f140,f2569]) ).
fof(f2571,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| n6 != sum(n6,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f62,f2570]) ).
fof(f2572,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| n6 != sum(n6,sum(pred(n0),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2571]) ).
fof(f2573,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| n6 != sum(n6,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f2572]) ).
fof(f2574,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| n6 != sum(n6,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f2573]) ).
fof(f2575,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| n6 != sum(n6,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f2574]) ).
fof(f2576,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f92,f2575]) ).
fof(f2577,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2576]) ).
fof(f2578,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2577]) ).
fof(f2597,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f246,f1039]) ).
fof(f2598,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| sum(sum(n3,succ(n2)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f2597]) ).
fof(f2599,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| sum(sum(n3,n3),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f6,f2598]) ).
fof(f2600,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| sum(n6,sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f62,f2599]) ).
fof(f2601,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| sum(n6,sum(pred(n2),n5)) != sum(n8,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f2600]) ).
fof(f2602,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| sum(n6,sum(n1,n5)) != sum(n8,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f2601]) ).
fof(f2603,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| sum(n6,n6) != sum(n8,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f42,f2602]) ).
fof(f2604,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| n1 != sum(n8,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f98,f2603]) ).
fof(f2605,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| n1 != sum(n8,sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f2604]) ).
fof(f2606,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| n1 != sum(n8,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f2605]) ).
fof(f2607,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| n1 != sum(n8,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f2606]) ).
fof(f2608,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| n1 != sum(n8,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f2607]) ).
fof(f2609,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f118,f2608]) ).
fof(f2610,plain,
( ~ sQ4_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2609]) ).
fof(f2611,plain,
( ~ sQ4_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2610]) ).
fof(f2614,plain,
( ~ sQ2_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f212,f149]) ).
fof(f2622,plain,
( ~ sQ2_spl
| sum(sum(pred(n2),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f2614]) ).
fof(f2623,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f2622]) ).
fof(f2624,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(n2))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f2623]) ).
fof(f2625,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f2624]) ).
fof(f2626,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f2625]) ).
fof(f2627,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f2626]) ).
fof(f2628,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,n3),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f2627]) ).
fof(f2629,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f40,f2628]) ).
fof(f2639,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| sum(sum(n1,succ(n0)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f1508]) ).
fof(f2640,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| sum(sum(n1,n1),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f2639]) ).
fof(f2641,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| sum(n2,sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f38,f2640]) ).
fof(f2642,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| sum(n2,sum(pred(n0),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f2641]) ).
fof(f2643,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| sum(n2,sum(n10,n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f2642]) ).
fof(f2644,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| sum(n2,n2) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f139,f2643]) ).
fof(f2645,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| n4 != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f50,f2644]) ).
fof(f2646,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| n4 != sum(n4,sum(pred(n0),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f2645]) ).
fof(f2647,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| n4 != sum(n4,sum(n10,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f2646]) ).
fof(f2648,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| n4 != sum(n4,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2647]) ).
fof(f2649,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| n4 != sum(n4,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f2648]) ).
fof(f2650,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| n4 != sum(n4,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f2649]) ).
fof(f2651,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f70,f2650]) ).
fof(f2652,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2651]) ).
fof(f2653,plain,
( ~ sQ2_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2652]) ).
fof(f2654,plain,
( ~ sQ11_spl
| sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f149]) ).
fof(f2655,plain,
( ~ sQ11_spl
| sum(sum(pred(sK0_skl),n1),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f2654]) ).
fof(f2656,plain,
( ~ sQ11_spl
| sum(sum(pred(sK0_skl),n1),sum(pred(n0),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f2655]) ).
fof(f2657,plain,
( ~ sQ11_spl
| sum(sum(pred(sK0_skl),n1),sum(n10,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f2656]) ).
fof(f2658,plain,
( ~ sQ11_spl
| sum(sum(pred(sK0_skl),n1),sum(n10,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(n0),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f2657]) ).
fof(f2659,plain,
( ~ sQ11_spl
| sum(sum(pred(sK0_skl),n1),sum(n10,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n10,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f2658]) ).
fof(f2660,plain,
( ~ sQ11_spl
| sum(sum(pred(sK0_skl),n1),sum(n10,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2659]) ).
fof(f2661,plain,
( ~ sQ11_spl
| sum(sum(pred(sK0_skl),n1),sum(n10,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f2660]) ).
fof(f2662,plain,
( ~ sQ11_spl
| sum(sum(pred(sK0_skl),n1),sum(n10,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f137,f2661]) ).
fof(f2663,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sum(sum(n4,succ(n0)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f1802]) ).
fof(f2664,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sum(sum(n4,n1),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f2663]) ).
fof(f2665,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sum(n5,sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f71,f2664]) ).
fof(f2666,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sum(n5,sum(pred(n0),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f2665]) ).
fof(f2667,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sum(n5,sum(n10,n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f2666]) ).
fof(f2668,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sum(n5,n5) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f142,f2667]) ).
fof(f2669,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| n10 != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f86,f2668]) ).
fof(f2670,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| n10 != sum(n10,sum(pred(n0),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f240,f2669]) ).
fof(f2671,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| n10 != sum(n10,sum(n10,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f2670]) ).
fof(f2672,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| n10 != sum(n10,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2671]) ).
fof(f2673,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| n10 != sum(n10,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f2672]) ).
fof(f2674,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| n10 != sum(n10,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f2673]) ).
fof(f2675,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f136,f2674]) ).
fof(f2676,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2675]) ).
fof(f2677,plain,
( ~ sQ5_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2676]) ).
fof(f2704,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f243,f1382]) ).
fof(f2706,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sum(sum(n7,succ(n1)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f2704]) ).
fof(f2707,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sum(sum(n7,n2),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f5,f2706]) ).
fof(f2708,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sum(n9,sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f105,f2707]) ).
fof(f2709,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sum(n9,sum(pred(n1),n9)) != sum(n5,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f2708]) ).
fof(f2710,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sum(n9,sum(n0,n9)) != sum(n5,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f2709]) ).
fof(f2711,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sum(n9,n9) != sum(n5,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f35,f2710]) ).
fof(f2712,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| n7 != sum(n5,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f134,f2711]) ).
fof(f2713,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| n7 != sum(n5,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f2712]) ).
fof(f2714,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| n7 != sum(n5,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f2713]) ).
fof(f2715,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| n7 != sum(n5,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f2714]) ).
fof(f2716,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| n7 != sum(n5,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f2715]) ).
fof(f2717,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f83,f2716]) ).
fof(f2718,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2717]) ).
fof(f2719,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2718]) ).
fof(f2729,plain,
( ~ sQ6_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f224,f149]) ).
fof(f2730,plain,
( ~ sQ6_spl
| sum(sum(pred(n6),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f2729]) ).
fof(f2731,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f2730]) ).
fof(f2732,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),succ(n6))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f2731]) ).
fof(f2733,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f2732]) ).
fof(f2734,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f2733]) ).
fof(f2735,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(n5,succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f2734]) ).
fof(f2736,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(n5,n7),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f2735]) ).
fof(f2737,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f88,f2736]) ).
fof(f2747,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sum(sum(n5,succ(n8)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f913]) ).
fof(f2748,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sum(sum(n5,n9),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f2747]) ).
fof(f2749,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sum(n3,sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f90,f2748]) ).
fof(f2750,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sum(n3,sum(pred(n8),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f2749]) ).
fof(f2751,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sum(n3,sum(n7,n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f2750]) ).
fof(f2752,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sum(n3,n3) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f110,f2751]) ).
fof(f2753,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| n6 != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f62,f2752]) ).
fof(f2754,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| n6 != sum(n1,sum(pred(n8),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f2753]) ).
fof(f2755,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| n6 != sum(n1,sum(n7,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f2754]) ).
fof(f2756,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| n6 != sum(n1,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f2755]) ).
fof(f2757,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| n6 != sum(n1,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f2756]) ).
fof(f2758,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| n6 != sum(n1,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f2757]) ).
fof(f2759,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f42,f2758]) ).
fof(f2760,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2759]) ).
fof(f2761,plain,
( ~ sQ6_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2760]) ).
fof(f2763,plain,
( ~ sQ8_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f230,f149]) ).
fof(f2772,plain,
( ~ sQ8_spl
| sum(sum(pred(n8),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f2763]) ).
fof(f2773,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f2772]) ).
fof(f2774,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),succ(n8))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f2773]) ).
fof(f2775,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f2774]) ).
fof(f2776,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(pred(n8),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f2775]) ).
fof(f2777,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(n7,succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f2776]) ).
fof(f2778,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(n7,n9),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f2777]) ).
fof(f2779,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f112,f2778]) ).
fof(f2780,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f258,f1382]) ).
fof(f2790,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| sum(sum(n7,succ(n6)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f2780]) ).
fof(f2791,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| sum(sum(n7,n7),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f10,f2790]) ).
fof(f2792,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| sum(n3,sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f110,f2791]) ).
fof(f2793,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| sum(n3,sum(pred(n6),n9)) != sum(n5,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f2792]) ).
fof(f2794,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| sum(n3,sum(n5,n9)) != sum(n5,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f2793]) ).
fof(f2795,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| sum(n3,n3) != sum(n5,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f90,f2794]) ).
fof(f2796,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| n6 != sum(n5,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f62,f2795]) ).
fof(f2797,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| n6 != sum(n5,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f2796]) ).
fof(f2798,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| n6 != sum(n5,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f2797]) ).
fof(f2799,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| n6 != sum(n5,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f2798]) ).
fof(f2800,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| n6 != sum(n5,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f2799]) ).
fof(f2801,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f82,f2800]) ).
fof(f2802,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2801]) ).
fof(f2803,plain,
( ~ sQ8_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2802]) ).
fof(f2812,plain,
( ~ sQ0_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f206,f149]) ).
fof(f2814,plain,
( ~ sQ0_spl
| sum(sum(pred(n0),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f2812]) ).
fof(f2815,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f2814]) ).
fof(f2816,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(n0))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f2815]) ).
fof(f2817,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f2816]) ).
fof(f2818,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f2817]) ).
fof(f2819,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f2818]) ).
fof(f2820,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,n1),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f2819]) ).
fof(f2821,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f137,f2820]) ).
fof(f2829,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n3))) ),
inference(backward_demodulation,[status(thm)],[f249,f2428]) ).
fof(f2832,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sum(sum(n10,succ(n3)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f2829]) ).
fof(f2833,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sum(sum(n10,n4),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f7,f2832]) ).
fof(f2834,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sum(n3,sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f140,f2833]) ).
fof(f2835,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sum(n3,sum(pred(n3),n1)) != sum(n0,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f2834]) ).
fof(f2836,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sum(n3,sum(n2,n1)) != sum(n0,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f2835]) ).
fof(f2837,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sum(n3,n3) != sum(n0,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f49,f2836]) ).
fof(f2838,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| n6 != sum(n0,sum(pred(sK1_skl),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f62,f2837]) ).
fof(f2839,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| n6 != sum(n0,sum(pred(n3),succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f2838]) ).
fof(f2840,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| n6 != sum(n0,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f18,f2839]) ).
fof(f2841,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| n6 != sum(n0,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f2840]) ).
fof(f2842,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| n6 != sum(n0,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f2841]) ).
fof(f2843,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f32,f2842]) ).
fof(f2844,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2843]) ).
fof(f2845,plain,
( ~ sQ0_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2844]) ).
fof(f2847,plain,
( ~ sQ9_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f233,f149]) ).
fof(f2856,plain,
( ~ sQ9_spl
| sum(sum(pred(n9),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f2847]) ).
fof(f2857,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f2856]) ).
fof(f2858,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),succ(n9))) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f2857]) ).
fof(f2859,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(pred(sK0_skl),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f2858]) ).
fof(f2860,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(pred(n9),succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f233,f2859]) ).
fof(f2861,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(n8,succ(n9)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f24,f2860]) ).
fof(f2862,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(sum(n8,n10),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f13,f2861]) ).
fof(f2863,plain,
( ~ sQ9_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f124,f2862]) ).
fof(f2864,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f255,f2470]) ).
fof(f2874,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| sum(sum(n8,succ(n5)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f2864]) ).
fof(f2875,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| sum(sum(n8,n6),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f9,f2874]) ).
fof(f2876,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| sum(n3,sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f120,f2875]) ).
fof(f2877,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| sum(n3,sum(pred(n5),n10)) != sum(n7,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f2876]) ).
fof(f2878,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| sum(n3,sum(n4,n10)) != sum(n7,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f2877]) ).
fof(f2879,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| sum(n3,n3) != sum(n7,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f80,f2878]) ).
fof(f2880,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| n6 != sum(n7,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f62,f2879]) ).
fof(f2881,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| n6 != sum(n7,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f2880]) ).
fof(f2882,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| n6 != sum(n7,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f2881]) ).
fof(f2883,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| n6 != sum(n7,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f2882]) ).
fof(f2884,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| n6 != sum(n7,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f2883]) ).
fof(f2885,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f113,f2884]) ).
fof(f2886,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2885]) ).
fof(f2887,plain,
( ~ sQ9_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f2886]) ).
fof(f2894,plain,
( ~ sQ1_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f209,f149]) ).
fof(f2899,plain,
( ~ sQ1_spl
| sum(sum(pred(n1),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f2894]) ).
fof(f2900,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f2899]) ).
fof(f2901,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(n1))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f2900]) ).
fof(f2902,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f2901]) ).
fof(f2903,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(n1),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f2902]) ).
fof(f2904,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f2903]) ).
fof(f2905,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,n2),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f2904]) ).
fof(f2906,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f28,f2905]) ).
fof(f2915,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n0))) ),
inference(backward_demodulation,[status(thm)],[f240,f2512]) ).
fof(f2917,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sum(sum(n0,succ(n0)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2915]) ).
fof(f2918,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sum(sum(n0,n1),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f4,f2917]) ).
fof(f2919,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sum(n1,sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f27,f2918]) ).
fof(f2920,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sum(n1,sum(pred(n0),n2)) != sum(n2,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2919]) ).
fof(f2921,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sum(n1,sum(n10,n2)) != sum(n2,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f2920]) ).
fof(f2922,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sum(n1,n1) != sum(n2,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f138,f2921]) ).
fof(f2923,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| n2 != sum(n2,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f38,f2922]) ).
fof(f2924,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| n2 != sum(n2,sum(pred(n0),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f2923]) ).
fof(f2925,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| n2 != sum(n2,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f2924]) ).
fof(f2926,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| n2 != sum(n2,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f2925]) ).
fof(f2927,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| n2 != sum(n2,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f2926]) ).
fof(f2928,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f48,f2927]) ).
fof(f2929,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2928]) ).
fof(f2930,plain,
( ~ sQ1_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2929]) ).
fof(f2933,plain,
( ~ sQ3_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f215,f149]) ).
fof(f2941,plain,
( ~ sQ3_spl
| sum(sum(pred(n3),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f2933]) ).
fof(f2942,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f2941]) ).
fof(f2943,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(n3))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f2942]) ).
fof(f2944,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f2943]) ).
fof(f2945,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f2944]) ).
fof(f2946,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f2945]) ).
fof(f2947,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,n4),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f2946]) ).
fof(f2948,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f52,f2947]) ).
fof(f2956,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n7))) ),
inference(backward_demodulation,[status(thm)],[f261,f2554]) ).
fof(f2959,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sum(sum(n2,succ(n7)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f2956]) ).
fof(f2960,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sum(sum(n2,n8),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f11,f2959]) ).
fof(f2961,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sum(n10,sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f56,f2960]) ).
fof(f2962,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sum(n10,sum(pred(n7),n4)) != sum(n6,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f2961]) ).
fof(f2963,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sum(n10,sum(n6,n4)) != sum(n6,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f2962]) ).
fof(f2964,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sum(n10,n10) != sum(n6,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f96,f2963]) ).
fof(f2965,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| n9 != sum(n6,sum(pred(sK1_skl),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f146,f2964]) ).
fof(f2966,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| n9 != sum(n6,sum(pred(n7),succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f2965]) ).
fof(f2967,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| n9 != sum(n6,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f22,f2966]) ).
fof(f2968,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| n9 != sum(n6,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f2967]) ).
fof(f2969,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| n9 != sum(n6,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f2968]) ).
fof(f2970,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f95,f2969]) ).
fof(f2971,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2970]) ).
fof(f2972,plain,
( ~ sQ3_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2971]) ).
fof(f2973,plain,
( ~ sQ18_spl
| sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f149]) ).
fof(f2974,plain,
( ~ sQ18_spl
| sum(sum(pred(sK0_skl),n8),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f2973]) ).
fof(f2975,plain,
( ~ sQ18_spl
| sum(sum(pred(sK0_skl),n8),sum(pred(n7),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f2974]) ).
fof(f2976,plain,
( ~ sQ18_spl
| sum(sum(pred(sK0_skl),n8),sum(n6,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f2975]) ).
fof(f2977,plain,
( ~ sQ18_spl
| sum(sum(pred(sK0_skl),n8),sum(n6,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(n7),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f2976]) ).
fof(f2978,plain,
( ~ sQ18_spl
| sum(sum(pred(sK0_skl),n8),sum(n6,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n6,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f2977]) ).
fof(f2979,plain,
( ~ sQ18_spl
| sum(sum(pred(sK0_skl),n8),sum(n6,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f2978]) ).
fof(f2980,plain,
( ~ sQ18_spl
| sum(sum(pred(sK0_skl),n8),sum(n6,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f2979]) ).
fof(f2981,plain,
( ~ sQ18_spl
| sum(sum(pred(sK0_skl),n8),sum(n6,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f100,f2980]) ).
fof(f2982,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| sum(sum(n3,succ(n7)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f1718]) ).
fof(f2983,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| sum(sum(n3,n8),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f2982]) ).
fof(f2984,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| sum(n0,sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f67,f2983]) ).
fof(f2985,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| sum(n0,sum(pred(n7),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f2984]) ).
fof(f2986,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| sum(n0,sum(n6,n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f2985]) ).
fof(f2987,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| sum(n0,n0) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f97,f2986]) ).
fof(f2988,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| n0 != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f26,f2987]) ).
fof(f2989,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| n0 != sum(n8,sum(pred(n7),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f2988]) ).
fof(f2990,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| n0 != sum(n8,sum(n6,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f2989]) ).
fof(f2991,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| n0 != sum(n8,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f2990]) ).
fof(f2992,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| n0 != sum(n8,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f2991]) ).
fof(f2993,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| n0 != sum(n8,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f2992]) ).
fof(f2994,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f117,f2993]) ).
fof(f2995,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2994]) ).
fof(f2996,plain,
( ~ sQ4_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2995]) ).
fof(f2998,plain,
( ~ sQ2_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f212,f149]) ).
fof(f3007,plain,
( ~ sQ2_spl
| sum(sum(pred(n2),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f2998]) ).
fof(f3008,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f3007]) ).
fof(f3009,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(n2))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f3008]) ).
fof(f3010,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f3009]) ).
fof(f3011,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f3010]) ).
fof(f3012,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f3011]) ).
fof(f3013,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,n3),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f3012]) ).
fof(f3014,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f40,f3013]) ).
fof(f3015,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f246,f2629]) ).
fof(f3025,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sum(sum(n1,succ(n2)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f3015]) ).
fof(f3026,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sum(sum(n1,n3),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f6,f3025]) ).
fof(f3027,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sum(n4,sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f40,f3026]) ).
fof(f3028,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sum(n4,sum(pred(n2),n3)) != sum(n4,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f3027]) ).
fof(f3029,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sum(n4,sum(n1,n3)) != sum(n4,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f3028]) ).
fof(f3030,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| sum(n4,n4) != sum(n4,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f40,f3029]) ).
fof(f3031,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| n8 != sum(n4,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f74,f3030]) ).
fof(f3032,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| n8 != sum(n4,sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f3031]) ).
fof(f3033,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| n8 != sum(n4,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f3032]) ).
fof(f3034,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| n8 != sum(n4,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f3033]) ).
fof(f3035,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| n8 != sum(n4,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f3034]) ).
fof(f3036,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f74,f3035]) ).
fof(f3037,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3036]) ).
fof(f3038,plain,
( ~ sQ2_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f3037]) ).
fof(f3057,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n0))) ),
inference(backward_demodulation,[status(thm)],[f240,f485]) ).
fof(f3067,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sum(sum(n6,succ(n0)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f3057]) ).
fof(f3068,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sum(sum(n6,n1),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f4,f3067]) ).
fof(f3069,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sum(n7,sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f93,f3068]) ).
fof(f3070,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sum(n7,sum(pred(n0),n8)) != sum(n3,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f3069]) ).
fof(f3071,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sum(n7,sum(n10,n8)) != sum(n3,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f3070]) ).
fof(f3072,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sum(n7,n7) != sum(n3,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f144,f3071]) ).
fof(f3073,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| n3 != sum(n3,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f110,f3072]) ).
fof(f3074,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| n3 != sum(n3,sum(pred(n0),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f3073]) ).
fof(f3075,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| n3 != sum(n3,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f3074]) ).
fof(f3076,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| n3 != sum(n3,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f3075]) ).
fof(f3077,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| n3 != sum(n3,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f3076]) ).
fof(f3078,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f59,f3077]) ).
fof(f3079,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3078]) ).
fof(f3080,plain,
( ~ sQ7_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3079]) ).
fof(f3108,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sum(sum(n4,succ(n4)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f1298]) ).
fof(f3109,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sum(sum(n4,n5),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f3108]) ).
fof(f3110,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sum(n9,sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f75,f3109]) ).
fof(f3111,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sum(n9,sum(pred(n4),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f3110]) ).
fof(f3112,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sum(n9,sum(n3,n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f3111]) ).
fof(f3113,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sum(n9,n9) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f65,f3112]) ).
fof(f3114,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| n7 != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f134,f3113]) ).
fof(f3115,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| n7 != sum(n10,sum(pred(n4),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f3114]) ).
fof(f3116,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| n7 != sum(n10,sum(n3,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f3115]) ).
fof(f3117,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| n7 != sum(n10,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f3116]) ).
fof(f3118,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| n7 != sum(n10,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f3117]) ).
fof(f3119,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| n7 != sum(n10,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f3118]) ).
fof(f3120,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f144,f3119]) ).
fof(f3121,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3120]) ).
fof(f3122,plain,
( ~ sQ5_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3121]) ).
fof(f3130,plain,
( ~ sQ7_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f227,f149]) ).
fof(f3133,plain,
( ~ sQ7_spl
| sum(sum(pred(n7),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f3130]) ).
fof(f3134,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f3133]) ).
fof(f3135,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(n7))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f3134]) ).
fof(f3136,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f3135]) ).
fof(f3137,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f3136]) ).
fof(f3138,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(n6,succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f3137]) ).
fof(f3139,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(n6,n8),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f3138]) ).
fof(f3140,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f3139]) ).
fof(f3151,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n10))) ),
inference(backward_demodulation,[status(thm)],[f270,f1340]) ).
fof(f3152,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| sum(sum(n6,succ(n10)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f3151]) ).
fof(f3153,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| sum(sum(n6,n0),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f14,f3152]) ).
fof(f3154,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| sum(n6,sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f92,f3153]) ).
fof(f3155,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| sum(n6,sum(pred(n10),n8)) != sum(n3,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f3154]) ).
fof(f3156,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| sum(n6,sum(n9,n8)) != sum(n3,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f3155]) ).
fof(f3157,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| sum(n6,n6) != sum(n3,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f133,f3156]) ).
fof(f3158,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| n1 != sum(n3,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f98,f3157]) ).
fof(f3159,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| n1 != sum(n3,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f3158]) ).
fof(f3160,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| n1 != sum(n3,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f3159]) ).
fof(f3161,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| n1 != sum(n3,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f3160]) ).
fof(f3162,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| n1 != sum(n3,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f3161]) ).
fof(f3163,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f68,f3162]) ).
fof(f3164,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3163]) ).
fof(f3165,plain,
( ~ sQ7_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3164]) ).
fof(f3184,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sum(sum(n5,succ(n4)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f2386]) ).
fof(f3185,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sum(sum(n5,n5),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f3184]) ).
fof(f3186,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sum(n10,sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f86,f3185]) ).
fof(f3187,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sum(n10,sum(pred(n4),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f3186]) ).
fof(f3188,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sum(n10,sum(n3,n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f3187]) ).
fof(f3189,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sum(n10,n10) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f66,f3188]) ).
fof(f3190,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| n9 != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f146,f3189]) ).
fof(f3191,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| n9 != sum(n1,sum(pred(n4),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f252,f3190]) ).
fof(f3192,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| n9 != sum(n1,sum(n3,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f3191]) ).
fof(f3193,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| n9 != sum(n1,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f3192]) ).
fof(f3194,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| n9 != sum(n1,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f3193]) ).
fof(f3195,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| n9 != sum(n1,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f3194]) ).
fof(f3196,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f45,f3195]) ).
fof(f3197,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3196]) ).
fof(f3198,plain,
( ~ sQ6_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3197]) ).
fof(f3203,plain,
( ~ sQ8_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f230,f149]) ).
fof(f3209,plain,
( ~ sQ8_spl
| sum(sum(pred(n8),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f3203]) ).
fof(f3210,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f3209]) ).
fof(f3211,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),succ(n8))) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f3210]) ).
fof(f3212,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(pred(sK0_skl),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f3211]) ).
fof(f3213,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(pred(n8),succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f230,f3212]) ).
fof(f3214,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(n7,succ(n8)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f3213]) ).
fof(f3215,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(sum(n7,n9),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f3214]) ).
fof(f3216,plain,
( ~ sQ8_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f112,f3215]) ).
fof(f3217,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f264,f2779]) ).
fof(f3227,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sum(sum(n7,succ(n8)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f3217]) ).
fof(f3228,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sum(sum(n7,n9),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f12,f3227]) ).
fof(f3229,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sum(n5,sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f112,f3228]) ).
fof(f3230,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sum(n5,sum(pred(n8),n9)) != sum(n5,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f3229]) ).
fof(f3231,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sum(n5,sum(n7,n9)) != sum(n5,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f3230]) ).
fof(f3232,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| sum(n5,n5) != sum(n5,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f112,f3231]) ).
fof(f3233,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| n10 != sum(n5,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f86,f3232]) ).
fof(f3234,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| n10 != sum(n5,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f3233]) ).
fof(f3235,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| n10 != sum(n5,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f3234]) ).
fof(f3236,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| n10 != sum(n5,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f3235]) ).
fof(f3237,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| n10 != sum(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f3236]) ).
fof(f3238,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f86,f3237]) ).
fof(f3239,plain,
( ~ sQ8_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3238]) ).
fof(f3240,plain,
( ~ sQ8_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3239]) ).
fof(f3246,plain,
( ~ sQ0_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f206,f149]) ).
fof(f3251,plain,
( ~ sQ0_spl
| sum(sum(pred(n0),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f3246]) ).
fof(f3252,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f3251]) ).
fof(f3253,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),succ(n0))) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f3252]) ).
fof(f3254,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(sK0_skl),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f3253]) ).
fof(f3255,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f206,f3254]) ).
fof(f3256,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,succ(n0)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f15,f3255]) ).
fof(f3257,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(sum(n10,n1),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f4,f3256]) ).
fof(f3258,plain,
( ~ sQ0_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f137,f3257]) ).
fof(f3268,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| sum(sum(n10,succ(n2)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f2821]) ).
fof(f3269,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| sum(sum(n10,n3),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f3268]) ).
fof(f3270,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| sum(n2,sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f139,f3269]) ).
fof(f3271,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| sum(n2,sum(pred(n2),n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f3270]) ).
fof(f3272,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| sum(n2,sum(n1,n1)) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f3271]) ).
fof(f3273,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| sum(n2,n2) != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f38,f3272]) ).
fof(f3274,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| n4 != sum(n0,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f50,f3273]) ).
fof(f3275,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| n4 != sum(n0,sum(pred(n2),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f246,f3274]) ).
fof(f3276,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| n4 != sum(n0,sum(n1,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f3275]) ).
fof(f3277,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| n4 != sum(n0,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f3276]) ).
fof(f3278,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| n4 != sum(n0,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f3277]) ).
fof(f3279,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| n4 != sum(n0,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f3278]) ).
fof(f3280,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f30,f3279]) ).
fof(f3281,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3280]) ).
fof(f3282,plain,
( ~ sQ0_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f3281]) ).
fof(f3310,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| sum(sum(n8,succ(n3)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f1166]) ).
fof(f3311,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| sum(sum(n8,n4),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f3310]) ).
fof(f3312,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| sum(n1,sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f118,f3311]) ).
fof(f3313,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| sum(n1,sum(pred(n3),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f3312]) ).
fof(f3314,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| sum(n1,sum(n2,n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f3313]) ).
fof(f3315,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| sum(n1,n1) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f58,f3314]) ).
fof(f3316,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| n2 != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f38,f3315]) ).
fof(f3317,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| n2 != sum(n7,sum(pred(n3),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f3316]) ).
fof(f3318,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| n2 != sum(n7,sum(n2,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f3317]) ).
fof(f3319,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| n2 != sum(n7,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f3318]) ).
fof(f3320,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| n2 != sum(n7,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f3319]) ).
fof(f3321,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| n2 != sum(n7,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f3320]) ).
fof(f3322,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f109,f3321]) ).
fof(f3323,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3322]) ).
fof(f3324,plain,
( ~ sQ9_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3323]) ).
fof(f3329,plain,
( ~ sQ1_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f209,f149]) ).
fof(f3335,plain,
( ~ sQ1_spl
| sum(sum(pred(n1),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f3329]) ).
fof(f3336,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f3335]) ).
fof(f3337,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(n1))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f3336]) ).
fof(f3338,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f3337]) ).
fof(f3339,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(n1),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f3338]) ).
fof(f3340,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f3339]) ).
fof(f3341,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,n2),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f3340]) ).
fof(f3342,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f28,f3341]) ).
fof(f3352,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n1))) ),
inference(backward_demodulation,[status(thm)],[f243,f2906]) ).
fof(f3353,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sum(sum(n0,succ(n1)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f3352]) ).
fof(f3354,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sum(sum(n0,n2),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f5,f3353]) ).
fof(f3355,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sum(n2,sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f28,f3354]) ).
fof(f3356,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sum(n2,sum(pred(n1),n2)) != sum(n2,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f3355]) ).
fof(f3357,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sum(n2,sum(n0,n2)) != sum(n2,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f3356]) ).
fof(f3358,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| sum(n2,n2) != sum(n2,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f28,f3357]) ).
fof(f3359,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| n4 != sum(n2,sum(pred(sK1_skl),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f50,f3358]) ).
fof(f3360,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| n4 != sum(n2,sum(pred(n1),succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f3359]) ).
fof(f3361,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| n4 != sum(n2,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f16,f3360]) ).
fof(f3362,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| n4 != sum(n2,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f3361]) ).
fof(f3363,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| n4 != sum(n2,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f3362]) ).
fof(f3364,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f50,f3363]) ).
fof(f3365,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3364]) ).
fof(f3366,plain,
( ~ sQ1_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f3365]) ).
fof(f3370,plain,
( ~ sQ3_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f215,f149]) ).
fof(f3377,plain,
( ~ sQ3_spl
| sum(sum(pred(n3),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f3370]) ).
fof(f3378,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f3377]) ).
fof(f3379,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),succ(n3))) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f3378]) ).
fof(f3380,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f3379]) ).
fof(f3381,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f215,f3380]) ).
fof(f3382,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,succ(n3)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f3381]) ).
fof(f3383,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(sum(n2,n4),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f3382]) ).
fof(f3384,plain,
( ~ sQ3_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f52,f3383]) ).
fof(f3393,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sum(sum(n2,succ(sK1_skl)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f255,f2948]) ).
fof(f3395,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sum(sum(n2,succ(n5)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f3393]) ).
fof(f3396,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sum(sum(n2,n6),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f9,f3395]) ).
fof(f3397,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sum(n8,sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f54,f3396]) ).
fof(f3398,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sum(n8,sum(pred(n5),n4)) != sum(n6,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f3397]) ).
fof(f3399,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sum(n8,sum(n4,n4)) != sum(n6,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f3398]) ).
fof(f3400,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| sum(n8,n8) != sum(n6,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f74,f3399]) ).
fof(f3401,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| n5 != sum(n6,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f122,f3400]) ).
fof(f3402,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| n5 != sum(n6,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f3401]) ).
fof(f3403,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| n5 != sum(n6,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f3402]) ).
fof(f3404,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| n5 != sum(n6,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f3403]) ).
fof(f3405,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| n5 != sum(n6,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f3404]) ).
fof(f3406,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f102,f3405]) ).
fof(f3407,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3406]) ).
fof(f3408,plain,
( ~ sQ3_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3407]) ).
fof(f3427,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| sum(sum(pred(n4),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f218,f1424]) ).
fof(f3428,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| sum(sum(n3,n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f19,f3427]) ).
fof(f3429,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| sum(n5,sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f61,f3428]) ).
fof(f3430,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| sum(n5,sum(n0,succ(n4))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f218,f3429]) ).
fof(f3431,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| sum(n5,sum(n0,n5)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f8,f3430]) ).
fof(f3432,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| sum(n5,n5) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f31,f3431]) ).
fof(f3433,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| n10 != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f86,f3432]) ).
fof(f3434,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| n10 != sum(sum(pred(n4),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f218,f3433]) ).
fof(f3435,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| n10 != sum(sum(n3,succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f19,f3434]) ).
fof(f3436,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| n10 != sum(sum(n3,succ(n4)),n2) ),
inference(forward_demodulation,[status(thm)],[f218,f3435]) ).
fof(f3437,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| n10 != sum(sum(n3,n5),n2) ),
inference(forward_demodulation,[status(thm)],[f8,f3436]) ).
fof(f3438,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| n10 != sum(n8,n2) ),
inference(forward_demodulation,[status(thm)],[f64,f3437]) ).
fof(f3439,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f116,f3438]) ).
fof(f3440,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3439]) ).
fof(f3441,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f3440]) ).
fof(f3460,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f258,f1508]) ).
fof(f3470,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sum(sum(n1,succ(n6)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f3460]) ).
fof(f3471,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sum(sum(n1,n7),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f10,f3470]) ).
fof(f3472,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sum(n8,sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f44,f3471]) ).
fof(f3473,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sum(n8,sum(pred(n6),n3)) != sum(n4,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f3472]) ).
fof(f3474,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sum(n8,sum(n5,n3)) != sum(n4,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f3473]) ).
fof(f3475,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| sum(n8,n8) != sum(n4,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f84,f3474]) ).
fof(f3476,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| n5 != sum(n4,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f122,f3475]) ).
fof(f3477,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| n5 != sum(n4,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f3476]) ).
fof(f3478,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| n5 != sum(n4,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f3477]) ).
fof(f3479,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| n5 != sum(n4,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f3478]) ).
fof(f3480,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| n5 != sum(n4,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f3479]) ).
fof(f3481,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f71,f3480]) ).
fof(f3482,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3481]) ).
fof(f3483,plain,
( ~ sQ2_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f3482]) ).
fof(f3487,plain,
( ~ sQ5_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f221,f149]) ).
fof(f3494,plain,
( ~ sQ5_spl
| sum(sum(pred(n5),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f3487]) ).
fof(f3495,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f3494]) ).
fof(f3496,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(n5))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f3495]) ).
fof(f3497,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f3496]) ).
fof(f3498,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f3497]) ).
fof(f3499,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f3498]) ).
fof(f3500,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,n6),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f3499]) ).
fof(f3501,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f76,f3500]) ).
fof(f3510,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f246,f2245]) ).
fof(f3512,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sum(sum(n4,succ(n2)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f3510]) ).
fof(f3513,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sum(sum(n4,n3),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f6,f3512]) ).
fof(f3514,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sum(n7,sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f73,f3513]) ).
fof(f3515,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sum(n7,sum(pred(n2),n6)) != sum(n10,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f3514]) ).
fof(f3516,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sum(n7,sum(n1,n6)) != sum(n10,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f3515]) ).
fof(f3517,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sum(n7,n7) != sum(n10,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f43,f3516]) ).
fof(f3518,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| n3 != sum(n10,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f110,f3517]) ).
fof(f3519,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| n3 != sum(n10,sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f3518]) ).
fof(f3520,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| n3 != sum(n10,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f3519]) ).
fof(f3521,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| n3 != sum(n10,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f3520]) ).
fof(f3522,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| n3 != sum(n10,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f3521]) ).
fof(f3523,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f140,f3522]) ).
fof(f3524,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3523]) ).
fof(f3525,plain,
( ~ sQ5_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f3524]) ).
fof(f3544,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f255,f650]) ).
fof(f3554,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sum(sum(n5,succ(n5)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f3544]) ).
fof(f3555,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sum(sum(n5,n6),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f9,f3554]) ).
fof(f3556,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sum(n0,sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f87,f3555]) ).
fof(f3557,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sum(n0,sum(pred(n5),n7)) != sum(n1,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f3556]) ).
fof(f3558,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sum(n0,sum(n4,n7)) != sum(n1,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f3557]) ).
fof(f3559,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sum(n0,n0) != sum(n1,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f77,f3558]) ).
fof(f3560,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| n0 != sum(n1,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f26,f3559]) ).
fof(f3561,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| n0 != sum(n1,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f3560]) ).
fof(f3562,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| n0 != sum(n1,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f3561]) ).
fof(f3563,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| n0 != sum(n1,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f3562]) ).
fof(f3564,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| n0 != sum(n1,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f3563]) ).
fof(f3565,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f47,f3564]) ).
fof(f3566,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3565]) ).
fof(f3567,plain,
( ~ sQ6_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3566]) ).
fof(f3571,plain,
( ~ sQ5_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f221,f149]) ).
fof(f3578,plain,
( ~ sQ5_spl
| sum(sum(pred(n5),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f3571]) ).
fof(f3579,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f3578]) ).
fof(f3580,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),succ(n5))) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f3579]) ).
fof(f3581,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(sK0_skl),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f3580]) ).
fof(f3582,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f221,f3581]) ).
fof(f3583,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,succ(n5)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f3582]) ).
fof(f3584,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(sum(n4,n6),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f3583]) ).
fof(f3585,plain,
( ~ sQ5_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f76,f3584]) ).
fof(f3595,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sum(sum(n4,succ(n7)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f3501]) ).
fof(f3596,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sum(sum(n4,n8),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f3595]) ).
fof(f3597,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sum(n1,sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f78,f3596]) ).
fof(f3598,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sum(n1,sum(pred(n7),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f3597]) ).
fof(f3599,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sum(n1,sum(n6,n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f3598]) ).
fof(f3600,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sum(n1,n1) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f98,f3599]) ).
fof(f3601,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| n2 != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f38,f3600]) ).
fof(f3602,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| n2 != sum(n10,sum(pred(n7),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f3601]) ).
fof(f3603,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| n2 != sum(n10,sum(n6,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f3602]) ).
fof(f3604,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| n2 != sum(n10,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f3603]) ).
fof(f3605,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| n2 != sum(n10,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f3604]) ).
fof(f3606,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| n2 != sum(n10,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f3605]) ).
fof(f3607,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f139,f3606]) ).
fof(f3608,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3607]) ).
fof(f3609,plain,
( ~ sQ5_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3608]) ).
fof(f3637,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n6))) ),
inference(backward_demodulation,[status(thm)],[f258,f2737]) ).
fof(f3638,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sum(sum(n5,succ(n6)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f3637]) ).
fof(f3639,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sum(sum(n5,n7),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f10,f3638]) ).
fof(f3640,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sum(n1,sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f88,f3639]) ).
fof(f3641,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sum(n1,sum(pred(n6),n7)) != sum(n1,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f3640]) ).
fof(f3642,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sum(n1,sum(n5,n7)) != sum(n1,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f3641]) ).
fof(f3643,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sum(n1,n1) != sum(n1,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f88,f3642]) ).
fof(f3644,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| n2 != sum(n1,sum(pred(sK1_skl),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f38,f3643]) ).
fof(f3645,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| n2 != sum(n1,sum(pred(n6),succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f3644]) ).
fof(f3646,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| n2 != sum(n1,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f21,f3645]) ).
fof(f3647,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| n2 != sum(n1,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f3646]) ).
fof(f3648,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| n2 != sum(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f3647]) ).
fof(f3649,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f38,f3648]) ).
fof(f3650,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3649]) ).
fof(f3651,plain,
( ~ sQ6_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f3650]) ).
fof(f3679,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| sum(sum(n6,succ(n7)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f3140]) ).
fof(f3680,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| sum(sum(n6,n8),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f3679]) ).
fof(f3681,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| sum(n3,sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f3680]) ).
fof(f3682,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| sum(n3,sum(pred(n7),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f3681]) ).
fof(f3683,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| sum(n3,sum(n6,n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f3682]) ).
fof(f3684,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| sum(n3,n3) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f3683]) ).
fof(f3685,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| n6 != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f62,f3684]) ).
fof(f3686,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| n6 != sum(n3,sum(pred(n7),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f261,f3685]) ).
fof(f3687,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| n6 != sum(n3,sum(n6,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f3686]) ).
fof(f3688,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| n6 != sum(n3,sum(n6,succ(n7))) ),
inference(forward_demodulation,[status(thm)],[f261,f3687]) ).
fof(f3689,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| n6 != sum(n3,sum(n6,n8)) ),
inference(forward_demodulation,[status(thm)],[f11,f3688]) ).
fof(f3690,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| n6 != sum(n3,n3) ),
inference(forward_demodulation,[status(thm)],[f100,f3689]) ).
fof(f3691,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f62,f3690]) ).
fof(f3692,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3691]) ).
fof(f3693,plain,
( ~ sQ7_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3692]) ).
fof(f3712,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f252,f1382]) ).
fof(f3722,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sum(sum(n7,succ(n4)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f3712]) ).
fof(f3723,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sum(sum(n7,n5),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f8,f3722]) ).
fof(f3724,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sum(n1,sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f108,f3723]) ).
fof(f3725,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sum(n1,sum(pred(n4),n9)) != sum(n5,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f3724]) ).
fof(f3726,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sum(n1,sum(n3,n9)) != sum(n5,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f3725]) ).
fof(f3727,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| sum(n1,n1) != sum(n5,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f68,f3726]) ).
fof(f3728,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| n2 != sum(n5,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f38,f3727]) ).
fof(f3729,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| n2 != sum(n5,sum(pred(n4),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f3728]) ).
fof(f3730,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| n2 != sum(n5,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f3729]) ).
fof(f3731,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| n2 != sum(n5,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f3730]) ).
fof(f3732,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| n2 != sum(n5,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f3731]) ).
fof(f3733,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f89,f3732]) ).
fof(f3734,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3733]) ).
fof(f3735,plain,
( ~ sQ8_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3734]) ).
fof(f3754,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f267,f2428]) ).
fof(f3764,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sum(sum(n10,succ(n9)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f3754]) ).
fof(f3765,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sum(sum(n10,n10),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f13,f3764]) ).
fof(f3766,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sum(n9,sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f146,f3765]) ).
fof(f3767,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sum(n9,sum(pred(n9),n1)) != sum(n0,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f3766]) ).
fof(f3768,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sum(n9,sum(n8,n1)) != sum(n0,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f3767]) ).
fof(f3769,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sum(n9,n9) != sum(n0,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f115,f3768]) ).
fof(f3770,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| n7 != sum(n0,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f134,f3769]) ).
fof(f3771,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| n7 != sum(n0,sum(pred(n9),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f3770]) ).
fof(f3772,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| n7 != sum(n0,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f3771]) ).
fof(f3773,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| n7 != sum(n0,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f3772]) ).
fof(f3774,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| n7 != sum(n0,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f3773]) ).
fof(f3775,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f33,f3774]) ).
fof(f3776,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3775]) ).
fof(f3777,plain,
( ~ sQ0_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3776]) ).
fof(f3796,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sum(sum(n8,succ(n1)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f243,f2863]) ).
fof(f3797,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sum(sum(n8,n2),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f3796]) ).
fof(f3798,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sum(n10,sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f116,f3797]) ).
fof(f3799,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sum(n10,sum(pred(n1),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f243,f3798]) ).
fof(f3800,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sum(n10,sum(n0,n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f3799]) ).
fof(f3801,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| sum(n10,n10) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f36,f3800]) ).
fof(f3802,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| n9 != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f146,f3801]) ).
fof(f3803,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| n9 != sum(n7,sum(pred(n1),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f243,f3802]) ).
fof(f3804,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| n9 != sum(n7,sum(n0,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f3803]) ).
fof(f3805,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| n9 != sum(n7,sum(n0,succ(n1))) ),
inference(forward_demodulation,[status(thm)],[f243,f3804]) ).
fof(f3806,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| n9 != sum(n7,sum(n0,n2)) ),
inference(forward_demodulation,[status(thm)],[f5,f3805]) ).
fof(f3807,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| n9 != sum(n7,n2) ),
inference(forward_demodulation,[status(thm)],[f28,f3806]) ).
fof(f3808,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f105,f3807]) ).
fof(f3809,plain,
( ~ sQ9_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3808]) ).
fof(f3810,plain,
( ~ sQ9_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f3809]) ).
fof(f3820,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| sum(sum(n8,succ(sK1_skl)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n10))) ),
inference(backward_demodulation,[status(thm)],[f270,f2470]) ).
fof(f3823,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| sum(sum(n8,succ(n10)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f3820]) ).
fof(f3824,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| sum(sum(n8,n0),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f14,f3823]) ).
fof(f3825,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| sum(n8,sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f114,f3824]) ).
fof(f3826,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| sum(n8,sum(pred(n10),n10)) != sum(n7,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f3825]) ).
fof(f3827,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| sum(n8,sum(n9,n10)) != sum(n7,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f3826]) ).
fof(f3828,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| sum(n8,n8) != sum(n7,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f135,f3827]) ).
fof(f3829,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| n5 != sum(n7,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f122,f3828]) ).
fof(f3830,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| n5 != sum(n7,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f3829]) ).
fof(f3831,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| n5 != sum(n7,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f3830]) ).
fof(f3832,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| n5 != sum(n7,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f3831]) ).
fof(f3833,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| n5 != sum(n7,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f3832]) ).
fof(f3834,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f112,f3833]) ).
fof(f3835,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3834]) ).
fof(f3836,plain,
( ~ sQ9_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3835]) ).
fof(f3842,plain,
( ~ sQ1_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f209,f149]) ).
fof(f3847,plain,
( ~ sQ1_spl
| sum(sum(pred(n1),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f3842]) ).
fof(f3848,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f3847]) ).
fof(f3849,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),succ(n1))) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f3848]) ).
fof(f3850,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(sK0_skl),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f3849]) ).
fof(f3851,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(pred(n1),succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f209,f3850]) ).
fof(f3852,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,succ(n1)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f16,f3851]) ).
fof(f3853,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(sum(n0,n2),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f5,f3852]) ).
fof(f3854,plain,
( ~ sQ1_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f28,f3853]) ).
fof(f3856,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| sum(sum(n0,succ(n3)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f3342]) ).
fof(f3857,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| sum(sum(n0,n4),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f3856]) ).
fof(f3858,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| sum(n4,sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f30,f3857]) ).
fof(f3859,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| sum(n4,sum(pred(n3),n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f3858]) ).
fof(f3860,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| sum(n4,sum(n2,n2)) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f3859]) ).
fof(f3861,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| sum(n4,n4) != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f50,f3860]) ).
fof(f3862,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| n8 != sum(n2,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f74,f3861]) ).
fof(f3863,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| n8 != sum(n2,sum(pred(n3),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f3862]) ).
fof(f3864,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| n8 != sum(n2,sum(n2,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f3863]) ).
fof(f3865,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| n8 != sum(n2,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f3864]) ).
fof(f3866,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| n8 != sum(n2,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f3865]) ).
fof(f3867,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| n8 != sum(n2,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f3866]) ).
fof(f3868,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f54,f3867]) ).
fof(f3869,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3868]) ).
fof(f3870,plain,
( ~ sQ1_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3869]) ).
fof(f3871,plain,
( ~ sQ14_spl
| sum(sum(pred(sK0_skl),succ(n3)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f149]) ).
fof(f3872,plain,
( ~ sQ14_spl
| sum(sum(pred(sK0_skl),n4),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f3871]) ).
fof(f3873,plain,
( ~ sQ14_spl
| sum(sum(pred(sK0_skl),n4),sum(pred(n3),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f3872]) ).
fof(f3874,plain,
( ~ sQ14_spl
| sum(sum(pred(sK0_skl),n4),sum(n2,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f3873]) ).
fof(f3875,plain,
( ~ sQ14_spl
| sum(sum(pred(sK0_skl),n4),sum(n2,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(n3),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f3874]) ).
fof(f3876,plain,
( ~ sQ14_spl
| sum(sum(pred(sK0_skl),n4),sum(n2,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n2,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f3875]) ).
fof(f3877,plain,
( ~ sQ14_spl
| sum(sum(pred(sK0_skl),n4),sum(n2,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f3876]) ).
fof(f3878,plain,
( ~ sQ14_spl
| sum(sum(pred(sK0_skl),n4),sum(n2,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f3877]) ).
fof(f3879,plain,
( ~ sQ14_spl
| sum(sum(pred(sK0_skl),n4),sum(n2,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n6) ),
inference(forward_demodulation,[status(thm)],[f52,f3878]) ).
fof(f3880,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sum(sum(n2,succ(n3)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f3384]) ).
fof(f3881,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sum(sum(n2,n4),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f7,f3880]) ).
fof(f3882,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sum(n6,sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f52,f3881]) ).
fof(f3883,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sum(n6,sum(pred(n3),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f3882]) ).
fof(f3884,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sum(n6,sum(n2,n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f3883]) ).
fof(f3885,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sum(n6,n6) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f52,f3884]) ).
fof(f3886,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| n1 != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f98,f3885]) ).
fof(f3887,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| n1 != sum(n6,sum(pred(n3),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f249,f3886]) ).
fof(f3888,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| n1 != sum(n6,sum(n2,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f18,f3887]) ).
fof(f3889,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| n1 != sum(n6,sum(n2,succ(n3))) ),
inference(forward_demodulation,[status(thm)],[f249,f3888]) ).
fof(f3890,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| n1 != sum(n6,sum(n2,n4)) ),
inference(forward_demodulation,[status(thm)],[f7,f3889]) ).
fof(f3891,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| n1 != sum(n6,n6) ),
inference(forward_demodulation,[status(thm)],[f52,f3890]) ).
fof(f3892,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f98,f3891]) ).
fof(f3893,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3892]) ).
fof(f3894,plain,
( ~ sQ3_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3893]) ).
fof(f3896,plain,
( ~ sQ4_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f218,f149]) ).
fof(f3905,plain,
( ~ sQ4_spl
| sum(sum(pred(n4),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f3896]) ).
fof(f3906,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f3905]) ).
fof(f3907,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),succ(n4))) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f3906]) ).
fof(f3908,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(pred(sK0_skl),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f3907]) ).
fof(f3909,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f218,f3908]) ).
fof(f3910,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(n3,succ(n4)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f19,f3909]) ).
fof(f3911,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(sum(n3,n5),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f8,f3910]) ).
fof(f3912,plain,
( ~ sQ4_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f64,f3911]) ).
fof(f3913,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f267,f609]) ).
fof(f3923,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sum(sum(n3,succ(n9)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f3913]) ).
fof(f3924,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sum(sum(n3,n10),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f13,f3923]) ).
fof(f3925,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sum(n2,sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f69,f3924]) ).
fof(f3926,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sum(n2,sum(pred(n9),n5)) != sum(n8,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f3925]) ).
fof(f3927,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sum(n2,sum(n8,n5)) != sum(n8,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f3926]) ).
fof(f3928,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sum(n2,n2) != sum(n8,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f119,f3927]) ).
fof(f3929,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| n4 != sum(n8,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f50,f3928]) ).
fof(f3930,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| n4 != sum(n8,sum(pred(n9),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f3929]) ).
fof(f3931,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| n4 != sum(n8,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f3930]) ).
fof(f3932,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| n4 != sum(n8,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f3931]) ).
fof(f3933,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| n4 != sum(n8,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f3932]) ).
fof(f3934,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f121,f3933]) ).
fof(f3935,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3934]) ).
fof(f3936,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3935]) ).
fof(f3955,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f252,f3014]) ).
fof(f3956,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| sum(sum(n1,succ(n4)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f3955]) ).
fof(f3957,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| sum(sum(n1,n5),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f8,f3956]) ).
fof(f3958,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| sum(n6,sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f42,f3957]) ).
fof(f3959,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| sum(n6,sum(pred(n4),n3)) != sum(n4,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f3958]) ).
fof(f3960,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| sum(n6,sum(n3,n3)) != sum(n4,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f3959]) ).
fof(f3961,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| sum(n6,n6) != sum(n4,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f62,f3960]) ).
fof(f3962,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| n1 != sum(n4,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f98,f3961]) ).
fof(f3963,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| n1 != sum(n4,sum(pred(n4),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f3962]) ).
fof(f3964,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| n1 != sum(n4,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f3963]) ).
fof(f3965,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| n1 != sum(n4,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f3964]) ).
fof(f3966,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| n1 != sum(n4,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f3965]) ).
fof(f3967,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f78,f3966]) ).
fof(f3968,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3967]) ).
fof(f3969,plain,
( ~ sQ2_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3968]) ).
fof(f3997,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| sum(sum(n4,succ(n5)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f2245]) ).
fof(f3998,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| sum(sum(n4,n6),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f9,f3997]) ).
fof(f3999,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| sum(n10,sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f76,f3998]) ).
fof(f4000,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| sum(n10,sum(pred(n5),n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f3999]) ).
fof(f4001,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| sum(n10,sum(n4,n6)) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f4000]) ).
fof(f4002,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| sum(n10,n10) != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f76,f4001]) ).
fof(f4003,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| n9 != sum(n10,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f146,f4002]) ).
fof(f4004,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| n9 != sum(n10,sum(pred(n5),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f255,f4003]) ).
fof(f4005,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| n9 != sum(n10,sum(n4,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f20,f4004]) ).
fof(f4006,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| n9 != sum(n10,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f4005]) ).
fof(f4007,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| n9 != sum(n10,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f4006]) ).
fof(f4008,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| n9 != sum(n10,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f4007]) ).
fof(f4009,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f146,f4008]) ).
fof(f4010,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4009]) ).
fof(f4011,plain,
( ~ sQ5_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f4010]) ).
fof(f4019,plain,
( ~ sQ7_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f227,f149]) ).
fof(f4022,plain,
( ~ sQ7_spl
| sum(sum(pred(n7),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f4019]) ).
fof(f4023,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f4022]) ).
fof(f4024,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),succ(n7))) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f4023]) ).
fof(f4025,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(pred(sK0_skl),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f4024]) ).
fof(f4026,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f227,f4025]) ).
fof(f4027,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(n6,succ(n7)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f22,f4026]) ).
fof(f4028,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(sum(n6,n8),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f11,f4027]) ).
fof(f4029,plain,
( ~ sQ7_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f100,f4028]) ).
fof(f4038,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sum(sum(n6,succ(sK1_skl)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f246,f1340]) ).
fof(f4039,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sum(sum(n6,succ(n2)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f4038]) ).
fof(f4040,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sum(sum(n6,n3),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f6,f4039]) ).
fof(f4041,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sum(n9,sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f95,f4040]) ).
fof(f4042,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sum(n9,sum(pred(n2),n8)) != sum(n3,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f4041]) ).
fof(f4043,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sum(n9,sum(n1,n8)) != sum(n3,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f4042]) ).
fof(f4044,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| sum(n9,n9) != sum(n3,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f45,f4043]) ).
fof(f4045,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| n7 != sum(n3,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f134,f4044]) ).
fof(f4046,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| n7 != sum(n3,sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f4045]) ).
fof(f4047,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| n7 != sum(n3,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f4046]) ).
fof(f4048,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| n7 != sum(n3,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f4047]) ).
fof(f4049,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| n7 != sum(n3,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f4048]) ).
fof(f4050,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f63,f4049]) ).
fof(f4051,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4050]) ).
fof(f4052,plain,
( ~ sQ7_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f4051]) ).
fof(f4071,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f267,f3216]) ).
fof(f4082,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sum(sum(n7,succ(n9)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f4071]) ).
fof(f4083,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sum(sum(n7,n10),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f13,f4082]) ).
fof(f4084,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sum(n6,sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f113,f4083]) ).
fof(f4085,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sum(n6,sum(pred(n9),n9)) != sum(n5,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f4084]) ).
fof(f4086,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sum(n6,sum(n8,n9)) != sum(n5,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f4085]) ).
fof(f4087,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sum(n6,n6) != sum(n5,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f123,f4086]) ).
fof(f4088,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| n1 != sum(n5,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f98,f4087]) ).
fof(f4089,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| n1 != sum(n5,sum(pred(n9),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f4088]) ).
fof(f4090,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| n1 != sum(n5,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f4089]) ).
fof(f4091,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| n1 != sum(n5,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f4090]) ).
fof(f4092,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| n1 != sum(n5,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f4091]) ).
fof(f4093,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f88,f4092]) ).
fof(f4094,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4093]) ).
fof(f4095,plain,
( ~ sQ8_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f4094]) ).
fof(f4104,plain,
( ~ sQ6_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f224,f149]) ).
fof(f4106,plain,
( ~ sQ6_spl
| sum(sum(pred(n6),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f4104]) ).
fof(f4107,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f4106]) ).
fof(f4108,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),succ(n6))) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f4107]) ).
fof(f4109,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(pred(sK0_skl),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f4108]) ).
fof(f4110,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f224,f4109]) ).
fof(f4111,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(n5,succ(n6)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f4110]) ).
fof(f4112,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(sum(n5,n7),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f4111]) ).
fof(f4113,plain,
( ~ sQ6_spl
| sum(sum(n5,succ(sK1_skl)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f88,f4112]) ).
fof(f4114,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sum(sum(pred(n6),n1),sum(n10,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f224,f2662]) ).
fof(f4115,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sum(sum(n5,n1),sum(n10,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f21,f4114]) ).
fof(f4116,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sum(n6,sum(n10,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f82,f4115]) ).
fof(f4117,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sum(n6,sum(n10,succ(n6))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f224,f4116]) ).
fof(f4118,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sum(n6,sum(n10,n7)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f10,f4117]) ).
fof(f4119,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sum(n6,n6) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f143,f4118]) ).
fof(f4120,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| n1 != sum(sum(pred(sK0_skl),succ(sK0_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f98,f4119]) ).
fof(f4121,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| n1 != sum(sum(pred(n6),succ(sK0_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f224,f4120]) ).
fof(f4122,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| n1 != sum(sum(n5,succ(sK0_skl)),n0) ),
inference(forward_demodulation,[status(thm)],[f21,f4121]) ).
fof(f4123,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| n1 != sum(sum(n5,succ(n6)),n0) ),
inference(forward_demodulation,[status(thm)],[f224,f4122]) ).
fof(f4124,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| n1 != sum(sum(n5,n7),n0) ),
inference(forward_demodulation,[status(thm)],[f10,f4123]) ).
fof(f4125,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| n1 != sum(n1,n0) ),
inference(forward_demodulation,[status(thm)],[f88,f4124]) ).
fof(f4126,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f37,f4125]) ).
fof(f4127,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4126]) ).
fof(f4128,plain,
( ~ sQ11_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f4127]) ).
fof(f4148,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| sum(sum(n10,succ(sK1_skl)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n10))) ),
inference(backward_demodulation,[status(thm)],[f270,f3258]) ).
fof(f4158,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| sum(sum(n10,succ(n10)),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4148]) ).
fof(f4159,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| sum(sum(n10,n0),sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f14,f4158]) ).
fof(f4160,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| sum(n10,sum(pred(sK1_skl),n1)) != sum(n0,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f136,f4159]) ).
fof(f4161,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| sum(n10,sum(pred(n10),n1)) != sum(n0,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4160]) ).
fof(f4162,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| sum(n10,sum(n9,n1)) != sum(n0,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f4161]) ).
fof(f4163,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| sum(n10,n10) != sum(n0,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f126,f4162]) ).
fof(f4164,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| n9 != sum(n0,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f146,f4163]) ).
fof(f4165,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| n9 != sum(n0,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4164]) ).
fof(f4166,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| n9 != sum(n0,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f4165]) ).
fof(f4167,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| n9 != sum(n0,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f4166]) ).
fof(f4168,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| n9 != sum(n0,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f4167]) ).
fof(f4169,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| n9 != n9 ),
inference(forward_demodulation,[status(thm)],[f35,f4168]) ).
fof(f4170,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4169]) ).
fof(f4171,plain,
( ~ sQ0_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4170]) ).
fof(f4190,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sum(sum(n8,succ(n6)),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f2863]) ).
fof(f4191,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sum(sum(n8,n7),sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f10,f4190]) ).
fof(f4192,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sum(n4,sum(pred(sK1_skl),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f121,f4191]) ).
fof(f4193,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sum(n4,sum(pred(n6),n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f4192]) ).
fof(f4194,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sum(n4,sum(n5,n10)) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f4193]) ).
fof(f4195,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| sum(n4,n4) != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f91,f4194]) ).
fof(f4196,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| n8 != sum(n7,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f74,f4195]) ).
fof(f4197,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| n8 != sum(n7,sum(pred(n6),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f258,f4196]) ).
fof(f4198,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| n8 != sum(n7,sum(n5,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f21,f4197]) ).
fof(f4199,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| n8 != sum(n7,sum(n5,succ(n6))) ),
inference(forward_demodulation,[status(thm)],[f258,f4198]) ).
fof(f4200,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| n8 != sum(n7,sum(n5,n7)) ),
inference(forward_demodulation,[status(thm)],[f10,f4199]) ).
fof(f4201,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| n8 != sum(n7,n1) ),
inference(forward_demodulation,[status(thm)],[f88,f4200]) ).
fof(f4202,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f104,f4201]) ).
fof(f4203,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4202]) ).
fof(f4204,plain,
( ~ sQ9_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4203]) ).
fof(f4223,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f264,f2906]) ).
fof(f4233,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sum(sum(n0,succ(n8)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f4223]) ).
fof(f4234,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sum(sum(n0,n9),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f12,f4233]) ).
fof(f4235,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sum(n9,sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f35,f4234]) ).
fof(f4236,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sum(n9,sum(pred(n8),n2)) != sum(n2,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f4235]) ).
fof(f4237,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sum(n9,sum(n7,n2)) != sum(n2,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f4236]) ).
fof(f4238,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sum(n9,n9) != sum(n2,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f105,f4237]) ).
fof(f4239,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| n7 != sum(n2,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f134,f4238]) ).
fof(f4240,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| n7 != sum(n2,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f4239]) ).
fof(f4241,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| n7 != sum(n2,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f4240]) ).
fof(f4242,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| n7 != sum(n2,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f4241]) ).
fof(f4243,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| n7 != sum(n2,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f4242]) ).
fof(f4244,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f53,f4243]) ).
fof(f4245,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4244]) ).
fof(f4246,plain,
( ~ sQ1_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f4245]) ).
fof(f4265,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sum(sum(pred(n3),n10),sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f215,f1836]) ).
fof(f4266,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sum(sum(n2,n10),sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f18,f4265]) ).
fof(f4267,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sum(n1,sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f58,f4266]) ).
fof(f4268,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sum(n1,sum(n8,succ(n3))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f215,f4267]) ).
fof(f4269,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sum(n1,sum(n8,n4)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f7,f4268]) ).
fof(f4270,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sum(n1,n1) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f118,f4269]) ).
fof(f4271,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| n2 != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f38,f4270]) ).
fof(f4272,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| n2 != sum(sum(pred(n3),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f215,f4271]) ).
fof(f4273,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| n2 != sum(sum(n2,succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f18,f4272]) ).
fof(f4274,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| n2 != sum(sum(n2,succ(n3)),n7) ),
inference(forward_demodulation,[status(thm)],[f215,f4273]) ).
fof(f4275,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| n2 != sum(sum(n2,n4),n7) ),
inference(forward_demodulation,[status(thm)],[f7,f4274]) ).
fof(f4276,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| n2 != sum(n6,n7) ),
inference(forward_demodulation,[status(thm)],[f52,f4275]) ).
fof(f4277,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f99,f4276]) ).
fof(f4278,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4277]) ).
fof(f4279,plain,
( ~ sQ20_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f4278]) ).
fof(f4299,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| sum(sum(n3,succ(sK1_skl)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n0))) ),
inference(backward_demodulation,[status(thm)],[f240,f3912]) ).
fof(f4308,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| sum(sum(n3,succ(n0)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f4299]) ).
fof(f4309,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| sum(sum(n3,n1),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f4,f4308]) ).
fof(f4310,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| sum(n4,sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f60,f4309]) ).
fof(f4311,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| sum(n4,sum(pred(n0),n5)) != sum(n8,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f4310]) ).
fof(f4312,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| sum(n4,sum(n10,n5)) != sum(n8,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f4311]) ).
fof(f4313,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| sum(n4,n4) != sum(n8,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f141,f4312]) ).
fof(f4314,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| n8 != sum(n8,sum(pred(sK1_skl),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f74,f4313]) ).
fof(f4315,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| n8 != sum(n8,sum(pred(n0),succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f240,f4314]) ).
fof(f4316,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| n8 != sum(n8,sum(n10,succ(n0))) ),
inference(forward_demodulation,[status(thm)],[f15,f4315]) ).
fof(f4317,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| n8 != sum(n8,sum(n10,n1)) ),
inference(forward_demodulation,[status(thm)],[f4,f4316]) ).
fof(f4318,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| n8 != sum(n8,n0) ),
inference(forward_demodulation,[status(thm)],[f137,f4317]) ).
fof(f4319,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f114,f4318]) ).
fof(f4320,plain,
( ~ sQ4_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4319]) ).
fof(f4321,plain,
( ~ sQ4_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f4320]) ).
fof(f4325,plain,
( ~ sQ2_spl
| sum(sum(pred(sK0_skl),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(backward_demodulation,[status(thm)],[f212,f149]) ).
fof(f4332,plain,
( ~ sQ2_spl
| sum(sum(pred(n2),succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f4325]) ).
fof(f4333,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f4332]) ).
fof(f4334,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),succ(n2))) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f4333]) ).
fof(f4335,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(sK0_skl),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f4334]) ).
fof(f4336,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f212,f4335]) ).
fof(f4337,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,succ(n2)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f17,f4336]) ).
fof(f4338,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(sum(n1,n3),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f6,f4337]) ).
fof(f4339,plain,
( ~ sQ2_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f40,f4338]) ).
fof(f4348,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sum(sum(n1,succ(sK1_skl)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n9))) ),
inference(backward_demodulation,[status(thm)],[f267,f2629]) ).
fof(f4350,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sum(sum(n1,succ(n9)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f4348]) ).
fof(f4351,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sum(sum(n1,n10),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f13,f4350]) ).
fof(f4352,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sum(n0,sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f47,f4351]) ).
fof(f4353,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sum(n0,sum(pred(n9),n3)) != sum(n4,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f4352]) ).
fof(f4354,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sum(n0,sum(n8,n3)) != sum(n4,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f4353]) ).
fof(f4355,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| sum(n0,n0) != sum(n4,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f117,f4354]) ).
fof(f4356,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| n0 != sum(n4,sum(pred(sK1_skl),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f26,f4355]) ).
fof(f4357,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| n0 != sum(n4,sum(pred(n9),succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f267,f4356]) ).
fof(f4358,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| n0 != sum(n4,sum(n8,succ(n9))) ),
inference(forward_demodulation,[status(thm)],[f24,f4357]) ).
fof(f4359,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| n0 != sum(n4,sum(n8,n10)) ),
inference(forward_demodulation,[status(thm)],[f13,f4358]) ).
fof(f4360,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| n0 != sum(n4,n7) ),
inference(forward_demodulation,[status(thm)],[f124,f4359]) ).
fof(f4361,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f77,f4360]) ).
fof(f4362,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4361]) ).
fof(f4363,plain,
( ~ sQ2_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f4362]) ).
fof(f4391,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| sum(sum(n4,succ(sK1_skl)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n10))) ),
inference(backward_demodulation,[status(thm)],[f270,f3585]) ).
fof(f4393,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| sum(sum(n4,succ(n10)),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4391]) ).
fof(f4394,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| sum(sum(n4,n0),sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f14,f4393]) ).
fof(f4395,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| sum(n4,sum(pred(sK1_skl),n6)) != sum(n10,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f70,f4394]) ).
fof(f4396,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| sum(n4,sum(pred(n10),n6)) != sum(n10,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4395]) ).
fof(f4397,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| sum(n4,sum(n9,n6)) != sum(n10,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f4396]) ).
fof(f4398,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| sum(n4,n4) != sum(n10,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f131,f4397]) ).
fof(f4399,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| n8 != sum(n10,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f74,f4398]) ).
fof(f4400,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| n8 != sum(n10,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4399]) ).
fof(f4401,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| n8 != sum(n10,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f4400]) ).
fof(f4402,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| n8 != sum(n10,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f4401]) ).
fof(f4403,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| n8 != sum(n10,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f4402]) ).
fof(f4404,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f145,f4403]) ).
fof(f4405,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4404]) ).
fof(f4406,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4405]) ).
fof(f4426,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sum(sum(n6,succ(n8)),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f4029]) ).
fof(f4427,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sum(sum(n6,n9),sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f12,f4426]) ).
fof(f4428,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sum(n4,sum(pred(sK1_skl),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f101,f4427]) ).
fof(f4429,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sum(n4,sum(pred(n8),n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f4428]) ).
fof(f4430,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sum(n4,sum(n7,n8)) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f4429]) ).
fof(f4431,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sum(n4,n4) != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f111,f4430]) ).
fof(f4432,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| n8 != sum(n3,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f74,f4431]) ).
fof(f4433,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| n8 != sum(n3,sum(pred(n8),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f264,f4432]) ).
fof(f4434,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| n8 != sum(n3,sum(n7,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f23,f4433]) ).
fof(f4435,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| n8 != sum(n3,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f4434]) ).
fof(f4436,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| n8 != sum(n3,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f4435]) ).
fof(f4437,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| n8 != sum(n3,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f4436]) ).
fof(f4438,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f64,f4437]) ).
fof(f4439,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4438]) ).
fof(f4440,plain,
( ~ sQ7_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f4439]) ).
fof(f4460,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| sum(sum(n7,succ(sK1_skl)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n10))) ),
inference(backward_demodulation,[status(thm)],[f270,f2779]) ).
fof(f4470,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| sum(sum(n7,succ(n10)),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4460]) ).
fof(f4471,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| sum(sum(n7,n0),sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f14,f4470]) ).
fof(f4472,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| sum(n7,sum(pred(sK1_skl),n9)) != sum(n5,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f103,f4471]) ).
fof(f4473,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| sum(n7,sum(pred(n10),n9)) != sum(n5,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4472]) ).
fof(f4474,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| sum(n7,sum(n9,n9)) != sum(n5,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f4473]) ).
fof(f4475,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| sum(n7,n7) != sum(n5,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f134,f4474]) ).
fof(f4476,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| n3 != sum(n5,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f110,f4475]) ).
fof(f4477,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| n3 != sum(n5,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4476]) ).
fof(f4478,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| n3 != sum(n5,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f4477]) ).
fof(f4479,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| n3 != sum(n5,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f4478]) ).
fof(f4480,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| n3 != sum(n5,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f4479]) ).
fof(f4481,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f90,f4480]) ).
fof(f4482,plain,
( ~ sQ8_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4481]) ).
fof(f4483,plain,
( ~ sQ8_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4482]) ).
fof(f4493,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| sum(sum(n5,succ(n10)),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4113]) ).
fof(f4494,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| sum(sum(n5,n0),sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f4493]) ).
fof(f4495,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| sum(n5,sum(pred(sK1_skl),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f81,f4494]) ).
fof(f4496,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| sum(n5,sum(pred(n10),n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4495]) ).
fof(f4497,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| sum(n5,sum(n9,n7)) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4496]) ).
fof(f4498,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| sum(n5,n5) != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f132,f4497]) ).
fof(f4499,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| n10 != sum(n1,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f86,f4498]) ).
fof(f4500,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| n10 != sum(n1,sum(pred(n10),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4499]) ).
fof(f4501,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| n10 != sum(n1,sum(n9,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4500]) ).
fof(f4502,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| n10 != sum(n1,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4501]) ).
fof(f4503,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| n10 != sum(n1,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f4502]) ).
fof(f4504,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| n10 != sum(n1,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f4503]) ).
fof(f4505,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f46,f4504]) ).
fof(f4506,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4505]) ).
fof(f4507,plain,
( ~ sQ6_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4506]) ).
fof(f4526,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sum(sum(pred(sK0_skl),n4),sum(n2,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n10)),n6) ),
inference(backward_demodulation,[status(thm)],[f236,f3879]) ).
fof(f4537,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sum(sum(pred(n10),n4),sum(n2,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n10)),n6) ),
inference(forward_demodulation,[status(thm)],[f236,f4526]) ).
fof(f4538,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sum(sum(n9,n4),sum(n2,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n10)),n6) ),
inference(forward_demodulation,[status(thm)],[f25,f4537]) ).
fof(f4539,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sum(n2,sum(n2,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(n10)),n6) ),
inference(forward_demodulation,[status(thm)],[f129,f4538]) ).
fof(f4540,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sum(n2,sum(n2,succ(n10))) != sum(sum(pred(sK0_skl),succ(n10)),n6) ),
inference(forward_demodulation,[status(thm)],[f236,f4539]) ).
fof(f4541,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sum(n2,sum(n2,n0)) != sum(sum(pred(sK0_skl),succ(n10)),n6) ),
inference(forward_demodulation,[status(thm)],[f14,f4540]) ).
fof(f4542,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| sum(n2,n2) != sum(sum(pred(sK0_skl),succ(n10)),n6) ),
inference(forward_demodulation,[status(thm)],[f48,f4541]) ).
fof(f4543,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| n4 != sum(sum(pred(sK0_skl),succ(n10)),n6) ),
inference(forward_demodulation,[status(thm)],[f50,f4542]) ).
fof(f4544,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| n4 != sum(sum(pred(n10),succ(n10)),n6) ),
inference(forward_demodulation,[status(thm)],[f236,f4543]) ).
fof(f4545,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| n4 != sum(sum(n9,succ(n10)),n6) ),
inference(forward_demodulation,[status(thm)],[f25,f4544]) ).
fof(f4546,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| n4 != sum(sum(n9,n0),n6) ),
inference(forward_demodulation,[status(thm)],[f14,f4545]) ).
fof(f4547,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| n4 != sum(n9,n6) ),
inference(forward_demodulation,[status(thm)],[f125,f4546]) ).
fof(f4548,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f131,f4547]) ).
fof(f4549,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4548]) ).
fof(f4550,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f4549]) ).
fof(f4560,plain,
( ~ sQ10_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),succ(n10))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f236,f294]) ).
fof(f4561,plain,
( ~ sQ10_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),n0)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f4560]) ).
fof(f4562,plain,
( ~ sQ10_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),n0)) != sum(sum(pred(n10),succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f236,f4561]) ).
fof(f4563,plain,
( ~ sQ10_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),n0)) != sum(sum(n9,succ(sK0_skl)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4562]) ).
fof(f4564,plain,
( ~ sQ10_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),n0)) != sum(sum(n9,succ(n10)),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f236,f4563]) ).
fof(f4565,plain,
( ~ sQ10_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),n0)) != sum(sum(n9,n0),sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f4564]) ).
fof(f4566,plain,
( ~ sQ10_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f125,f4565]) ).
fof(f4575,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n4))) ),
inference(backward_demodulation,[status(thm)],[f252,f4566]) ).
fof(f4577,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sum(sum(n9,succ(n4)),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f4575]) ).
fof(f4578,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sum(sum(n9,n5),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f8,f4577]) ).
fof(f4579,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sum(n3,sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f130,f4578]) ).
fof(f4580,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sum(n3,sum(pred(n4),n0)) != sum(n9,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f4579]) ).
fof(f4581,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sum(n3,sum(n3,n0)) != sum(n9,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f4580]) ).
fof(f4582,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| sum(n3,n3) != sum(n9,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f59,f4581]) ).
fof(f4583,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| n6 != sum(n9,sum(pred(sK1_skl),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f62,f4582]) ).
fof(f4584,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| n6 != sum(n9,sum(pred(n4),succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f252,f4583]) ).
fof(f4585,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| n6 != sum(n9,sum(n3,succ(n4))) ),
inference(forward_demodulation,[status(thm)],[f19,f4584]) ).
fof(f4586,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| n6 != sum(n9,sum(n3,n5)) ),
inference(forward_demodulation,[status(thm)],[f8,f4585]) ).
fof(f4587,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| n6 != sum(n9,n8) ),
inference(forward_demodulation,[status(thm)],[f64,f4586]) ).
fof(f4588,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f133,f4587]) ).
fof(f4589,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4588]) ).
fof(f4590,plain,
( ~ sQ10_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f4589]) ).
fof(f4591,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| sum(sum(pred(n10),n8),sum(n6,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f236,f2981]) ).
fof(f4592,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| sum(sum(n9,n8),sum(n6,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f25,f4591]) ).
fof(f4593,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| sum(n6,sum(n6,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f133,f4592]) ).
fof(f4594,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| sum(n6,sum(n6,succ(n10))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f236,f4593]) ).
fof(f4595,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| sum(n6,sum(n6,n0)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f14,f4594]) ).
fof(f4596,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| sum(n6,n6) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f92,f4595]) ).
fof(f4597,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| n1 != sum(sum(pred(sK0_skl),succ(sK0_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f98,f4596]) ).
fof(f4598,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| n1 != sum(sum(pred(n10),succ(sK0_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f236,f4597]) ).
fof(f4599,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| n1 != sum(sum(n9,succ(sK0_skl)),n3) ),
inference(forward_demodulation,[status(thm)],[f25,f4598]) ).
fof(f4600,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| n1 != sum(sum(n9,succ(n10)),n3) ),
inference(forward_demodulation,[status(thm)],[f236,f4599]) ).
fof(f4601,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| n1 != sum(sum(n9,n0),n3) ),
inference(forward_demodulation,[status(thm)],[f14,f4600]) ).
fof(f4602,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| n1 != sum(n9,n3) ),
inference(forward_demodulation,[status(thm)],[f125,f4601]) ).
fof(f4603,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f128,f4602]) ).
fof(f4604,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4603]) ).
fof(f4605,plain,
( ~ sQ18_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f4604]) ).
fof(f4608,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n8))) ),
inference(backward_demodulation,[status(thm)],[f264,f4566]) ).
fof(f4616,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sum(sum(n9,succ(n8)),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f4608]) ).
fof(f4617,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sum(sum(n9,n9),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f12,f4616]) ).
fof(f4618,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sum(n7,sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f134,f4617]) ).
fof(f4619,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sum(n7,sum(pred(n8),n0)) != sum(n9,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f4618]) ).
fof(f4620,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sum(n7,sum(n7,n0)) != sum(n9,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f4619]) ).
fof(f4621,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| sum(n7,n7) != sum(n9,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f103,f4620]) ).
fof(f4622,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| n3 != sum(n9,sum(pred(sK1_skl),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f110,f4621]) ).
fof(f4623,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| n3 != sum(n9,sum(pred(n8),succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f264,f4622]) ).
fof(f4624,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| n3 != sum(n9,sum(n7,succ(n8))) ),
inference(forward_demodulation,[status(thm)],[f23,f4623]) ).
fof(f4625,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| n3 != sum(n9,sum(n7,n9)) ),
inference(forward_demodulation,[status(thm)],[f12,f4624]) ).
fof(f4626,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| n3 != sum(n9,n5) ),
inference(forward_demodulation,[status(thm)],[f112,f4625]) ).
fof(f4627,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| n3 != n3 ),
inference(forward_demodulation,[status(thm)],[f130,f4626]) ).
fof(f4628,plain,
( ~ sQ10_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4627]) ).
fof(f4629,plain,
( ~ sQ10_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f4628]) ).
fof(f4637,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n5))) ),
inference(backward_demodulation,[status(thm)],[f255,f4566]) ).
fof(f4640,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sum(sum(n9,succ(n5)),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f4637]) ).
fof(f4641,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sum(sum(n9,n6),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f9,f4640]) ).
fof(f4642,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sum(n4,sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f131,f4641]) ).
fof(f4643,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sum(n4,sum(pred(n5),n0)) != sum(n9,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f4642]) ).
fof(f4644,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sum(n4,sum(n4,n0)) != sum(n9,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f4643]) ).
fof(f4645,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| sum(n4,n4) != sum(n9,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f70,f4644]) ).
fof(f4646,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| n8 != sum(n9,sum(pred(sK1_skl),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f74,f4645]) ).
fof(f4647,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| n8 != sum(n9,sum(pred(n5),succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f255,f4646]) ).
fof(f4648,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| n8 != sum(n9,sum(n4,succ(n5))) ),
inference(forward_demodulation,[status(thm)],[f20,f4647]) ).
fof(f4649,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| n8 != sum(n9,sum(n4,n6)) ),
inference(forward_demodulation,[status(thm)],[f9,f4648]) ).
fof(f4650,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| n8 != sum(n9,n10) ),
inference(forward_demodulation,[status(thm)],[f76,f4649]) ).
fof(f4651,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| n8 != n8 ),
inference(forward_demodulation,[status(thm)],[f135,f4650]) ).
fof(f4652,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4651]) ).
fof(f4653,plain,
( ~ sQ10_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f4652]) ).
fof(f4654,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sum(sum(pred(n10),n7),sum(n5,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n1) ),
inference(forward_demodulation,[status(thm)],[f236,f2278]) ).
fof(f4655,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sum(sum(n9,n7),sum(n5,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n1) ),
inference(forward_demodulation,[status(thm)],[f25,f4654]) ).
fof(f4656,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sum(n5,sum(n5,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n1) ),
inference(forward_demodulation,[status(thm)],[f132,f4655]) ).
fof(f4657,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sum(n5,sum(n5,succ(n10))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n1) ),
inference(forward_demodulation,[status(thm)],[f236,f4656]) ).
fof(f4658,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sum(n5,sum(n5,n0)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n1) ),
inference(forward_demodulation,[status(thm)],[f14,f4657]) ).
fof(f4659,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sum(n5,n5) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n1) ),
inference(forward_demodulation,[status(thm)],[f81,f4658]) ).
fof(f4660,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| n10 != sum(sum(pred(sK0_skl),succ(sK0_skl)),n1) ),
inference(forward_demodulation,[status(thm)],[f86,f4659]) ).
fof(f4661,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| n10 != sum(sum(pred(n10),succ(sK0_skl)),n1) ),
inference(forward_demodulation,[status(thm)],[f236,f4660]) ).
fof(f4662,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| n10 != sum(sum(n9,succ(sK0_skl)),n1) ),
inference(forward_demodulation,[status(thm)],[f25,f4661]) ).
fof(f4663,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| n10 != sum(sum(n9,succ(n10)),n1) ),
inference(forward_demodulation,[status(thm)],[f236,f4662]) ).
fof(f4664,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| n10 != sum(sum(n9,n0),n1) ),
inference(forward_demodulation,[status(thm)],[f14,f4663]) ).
fof(f4665,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| n10 != sum(n9,n1) ),
inference(forward_demodulation,[status(thm)],[f125,f4664]) ).
fof(f4666,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| n10 != n10 ),
inference(forward_demodulation,[status(thm)],[f126,f4665]) ).
fof(f4667,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4666]) ).
fof(f4668,plain,
( ~ sQ17_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f4667]) ).
fof(f4669,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sum(sum(pred(n10),n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f236,f388]) ).
fof(f4670,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sum(sum(n9,n2),sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f25,f4669]) ).
fof(f4671,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sum(n0,sum(n0,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f127,f4670]) ).
fof(f4672,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sum(n0,sum(n0,succ(n10))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f236,f4671]) ).
fof(f4673,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sum(n0,sum(n0,n0)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f14,f4672]) ).
fof(f4674,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| sum(n0,n0) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f26,f4673]) ).
fof(f4675,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| n0 != sum(sum(pred(sK0_skl),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f26,f4674]) ).
fof(f4676,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| n0 != sum(sum(pred(n10),succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f236,f4675]) ).
fof(f4677,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| n0 != sum(sum(n9,succ(sK0_skl)),n2) ),
inference(forward_demodulation,[status(thm)],[f25,f4676]) ).
fof(f4678,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| n0 != sum(sum(n9,succ(n10)),n2) ),
inference(forward_demodulation,[status(thm)],[f236,f4677]) ).
fof(f4679,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| n0 != sum(sum(n9,n0),n2) ),
inference(forward_demodulation,[status(thm)],[f14,f4678]) ).
fof(f4680,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| n0 != sum(n9,n2) ),
inference(forward_demodulation,[status(thm)],[f125,f4679]) ).
fof(f4681,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f127,f4680]) ).
fof(f4682,plain,
( ~ sQ12_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4681]) ).
fof(f4683,plain,
( ~ sQ12_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f4682]) ).
fof(f4687,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sum(sum(n9,succ(sK1_skl)),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n2))) ),
inference(backward_demodulation,[status(thm)],[f246,f4566]) ).
fof(f4694,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sum(sum(n9,succ(n2)),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f4687]) ).
fof(f4695,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sum(sum(n9,n3),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f6,f4694]) ).
fof(f4696,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sum(n1,sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f128,f4695]) ).
fof(f4697,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sum(n1,sum(pred(n2),n0)) != sum(n9,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f4696]) ).
fof(f4698,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sum(n1,sum(n1,n0)) != sum(n9,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f4697]) ).
fof(f4699,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| sum(n1,n1) != sum(n9,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f37,f4698]) ).
fof(f4700,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| n2 != sum(n9,sum(pred(sK1_skl),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f38,f4699]) ).
fof(f4701,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| n2 != sum(n9,sum(pred(n2),succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f246,f4700]) ).
fof(f4702,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| n2 != sum(n9,sum(n1,succ(n2))) ),
inference(forward_demodulation,[status(thm)],[f17,f4701]) ).
fof(f4703,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| n2 != sum(n9,sum(n1,n3)) ),
inference(forward_demodulation,[status(thm)],[f6,f4702]) ).
fof(f4704,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| n2 != sum(n9,n4) ),
inference(forward_demodulation,[status(thm)],[f40,f4703]) ).
fof(f4705,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f129,f4704]) ).
fof(f4706,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4705]) ).
fof(f4707,plain,
( ~ sQ10_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f4706]) ).
fof(f4708,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| sum(sum(pred(n10),n10),sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f236,f1836]) ).
fof(f4709,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| sum(sum(n9,n10),sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f25,f4708]) ).
fof(f4710,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| sum(n8,sum(n8,succ(sK0_skl))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f135,f4709]) ).
fof(f4711,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| sum(n8,sum(n8,succ(n10))) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f236,f4710]) ).
fof(f4712,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| sum(n8,sum(n8,n0)) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f14,f4711]) ).
fof(f4713,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| sum(n8,n8) != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f114,f4712]) ).
fof(f4714,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| n5 != sum(sum(pred(sK0_skl),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f122,f4713]) ).
fof(f4715,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| n5 != sum(sum(pred(n10),succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f236,f4714]) ).
fof(f4716,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| n5 != sum(sum(n9,succ(sK0_skl)),n7) ),
inference(forward_demodulation,[status(thm)],[f25,f4715]) ).
fof(f4717,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| n5 != sum(sum(n9,succ(n10)),n7) ),
inference(forward_demodulation,[status(thm)],[f236,f4716]) ).
fof(f4718,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| n5 != sum(sum(n9,n0),n7) ),
inference(forward_demodulation,[status(thm)],[f14,f4717]) ).
fof(f4719,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| n5 != sum(n9,n7) ),
inference(forward_demodulation,[status(thm)],[f125,f4718]) ).
fof(f4720,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| n5 != n5 ),
inference(forward_demodulation,[status(thm)],[f132,f4719]) ).
fof(f4721,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4720]) ).
fof(f4722,plain,
( ~ sQ20_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f4721]) ).
fof(f4741,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sum(sum(n0,succ(sK1_skl)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n10))) ),
inference(backward_demodulation,[status(thm)],[f270,f3854]) ).
fof(f4752,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sum(sum(n0,succ(n10)),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4741]) ).
fof(f4753,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sum(sum(n0,n0),sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f14,f4752]) ).
fof(f4754,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sum(n0,sum(pred(sK1_skl),n2)) != sum(n2,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f26,f4753]) ).
fof(f4755,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sum(n0,sum(pred(n10),n2)) != sum(n2,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4754]) ).
fof(f4756,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sum(n0,sum(n9,n2)) != sum(n2,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f4755]) ).
fof(f4757,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sum(n0,n0) != sum(n2,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f127,f4756]) ).
fof(f4758,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| n0 != sum(n2,sum(pred(sK1_skl),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f26,f4757]) ).
fof(f4759,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| n0 != sum(n2,sum(pred(n10),succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4758]) ).
fof(f4760,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| n0 != sum(n2,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f25,f4759]) ).
fof(f4761,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| n0 != sum(n2,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f4760]) ).
fof(f4762,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| n0 != sum(n2,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f4761]) ).
fof(f4763,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f57,f4762]) ).
fof(f4764,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4763]) ).
fof(f4765,plain,
( ~ sQ1_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4764]) ).
fof(f4775,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sum(sum(n1,succ(n10)),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4339]) ).
fof(f4776,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sum(sum(n1,n0),sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f4775]) ).
fof(f4777,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sum(n1,sum(pred(sK1_skl),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f37,f4776]) ).
fof(f4778,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sum(n1,sum(pred(n10),n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4777]) ).
fof(f4779,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sum(n1,sum(n9,n3)) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4778]) ).
fof(f4780,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| sum(n1,n1) != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f128,f4779]) ).
fof(f4781,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| n2 != sum(n4,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f38,f4780]) ).
fof(f4782,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| n2 != sum(n4,sum(pred(n10),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4781]) ).
fof(f4783,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| n2 != sum(n4,sum(n9,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4782]) ).
fof(f4784,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| n2 != sum(n4,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4783]) ).
fof(f4785,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| n2 != sum(n4,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f4784]) ).
fof(f4786,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| n2 != sum(n4,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f4785]) ).
fof(f4787,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| n2 != n2 ),
inference(forward_demodulation,[status(thm)],[f79,f4786]) ).
fof(f4788,plain,
( ~ sQ2_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4787]) ).
fof(f4789,plain,
( ~ sQ2_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4788]) ).
fof(f4790,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sum(sum(n2,succ(n10)),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f2948]) ).
fof(f4791,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sum(sum(n2,n0),sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f4790]) ).
fof(f4792,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sum(n2,sum(pred(sK1_skl),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f48,f4791]) ).
fof(f4793,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sum(n2,sum(pred(n10),n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4792]) ).
fof(f4794,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sum(n2,sum(n9,n4)) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4793]) ).
fof(f4795,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sum(n2,n2) != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f129,f4794]) ).
fof(f4796,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| n4 != sum(n6,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f50,f4795]) ).
fof(f4797,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| n4 != sum(n6,sum(pred(n10),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4796]) ).
fof(f4798,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| n4 != sum(n6,sum(n9,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4797]) ).
fof(f4799,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| n4 != sum(n6,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4798]) ).
fof(f4800,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| n4 != sum(n6,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f4799]) ).
fof(f4801,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| n4 != sum(n6,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f4800]) ).
fof(f4802,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| n4 != n4 ),
inference(forward_demodulation,[status(thm)],[f101,f4801]) ).
fof(f4803,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4802]) ).
fof(f4804,plain,
( ~ sQ3_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4803]) ).
fof(f4805,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| sum(sum(n3,succ(n10)),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f609]) ).
fof(f4806,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| sum(sum(n3,n0),sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f4805]) ).
fof(f4807,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| sum(n3,sum(pred(sK1_skl),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f59,f4806]) ).
fof(f4808,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| sum(n3,sum(pred(n10),n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4807]) ).
fof(f4809,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| sum(n3,sum(n9,n5)) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4808]) ).
fof(f4810,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| sum(n3,n3) != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f130,f4809]) ).
fof(f4811,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| n6 != sum(n8,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f62,f4810]) ).
fof(f4812,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| n6 != sum(n8,sum(pred(n10),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4811]) ).
fof(f4813,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| n6 != sum(n8,sum(n9,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4812]) ).
fof(f4814,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| n6 != sum(n8,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4813]) ).
fof(f4815,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| n6 != sum(n8,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f4814]) ).
fof(f4816,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| n6 != sum(n8,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f4815]) ).
fof(f4817,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| n6 != n6 ),
inference(forward_demodulation,[status(thm)],[f123,f4816]) ).
fof(f4818,plain,
( ~ sQ4_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4817]) ).
fof(f4819,plain,
( ~ sQ4_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4818]) ).
fof(f4820,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sum(sum(n9,succ(n10)),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4566]) ).
fof(f4821,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sum(sum(n9,n0),sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f14,f4820]) ).
fof(f4822,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sum(n9,sum(pred(sK1_skl),n0)) != sum(n9,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f125,f4821]) ).
fof(f4823,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sum(n9,sum(pred(n10),n0)) != sum(n9,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4822]) ).
fof(f4824,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sum(n9,sum(n9,n0)) != sum(n9,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4823]) ).
fof(f4825,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| sum(n9,n9) != sum(n9,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f125,f4824]) ).
fof(f4826,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| n7 != sum(n9,sum(pred(sK1_skl),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f134,f4825]) ).
fof(f4827,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| n7 != sum(n9,sum(pred(n10),succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f270,f4826]) ).
fof(f4828,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| n7 != sum(n9,sum(n9,succ(sK1_skl))) ),
inference(forward_demodulation,[status(thm)],[f25,f4827]) ).
fof(f4829,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| n7 != sum(n9,sum(n9,succ(n10))) ),
inference(forward_demodulation,[status(thm)],[f270,f4828]) ).
fof(f4830,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| n7 != sum(n9,sum(n9,n0)) ),
inference(forward_demodulation,[status(thm)],[f14,f4829]) ).
fof(f4831,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| n7 != sum(n9,n9) ),
inference(forward_demodulation,[status(thm)],[f125,f4830]) ).
fof(f4832,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| n7 != n7 ),
inference(forward_demodulation,[status(thm)],[f134,f4831]) ).
fof(f4833,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4832]) ).
fof(f4834,plain,
( ~ sQ10_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4833]) ).
fof(f4835,plain,
$false,
inference(sat_refutation,[status(thm)],[f238,f272,f316,f365,f426,f466,f507,f548,f590,f632,f674,f716,f766,f809,f852,f895,f937,f979,f1021,f1063,f1105,f1147,f1190,f1214,f1238,f1280,f1322,f1364,f1406,f1448,f1490,f1532,f1574,f1616,f1658,f1700,f1742,f1784,f1827,f1851,f1875,f1917,f1950,f1992,f2016,f2059,f2101,f2143,f2185,f2227,f2269,f2293,f2335,f2368,f2410,f2452,f2494,f2536,f2578,f2611,f2653,f2677,f2719,f2761,f2803,f2845,f2887,f2930,f2972,f2996,f3038,f3080,f3122,f3165,f3198,f3240,f3282,f3324,f3366,f3408,f3441,f3483,f3525,f3567,f3609,f3651,f3693,f3735,f3777,f3810,f3836,f3870,f3894,f3936,f3969,f4011,f4052,f4095,f4128,f4171,f4204,f4246,f4279,f4321,f4363,f4406,f4440,f4483,f4507,f4550,f4590,f4605,f4629,f4653,f4668,f4683,f4707,f4722,f4765,f4789,f4804,f4819,f4834]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM376+1.010 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n019.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 02:25:50 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.42 % Drodi V4.1.1
% 0.43/0.52 % Refutation found
% 0.43/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.43/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.43/0.59 % Elapsed time: 0.160629 seconds
% 0.43/0.59 % CPU time: 0.688211 seconds
% 0.43/0.59 % Total memory used: 21.657 MB
% 0.43/0.59 % Net memory used: 21.169 MB
%------------------------------------------------------------------------------