%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM376+1.010 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 : Tue Sep 29 12:18:31 PM UTC 2026
% Result : Unsatisfiable 0.35s 0.50s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 1756 ( 168 unt; 22 def)
% Number of atoms : 4844 (1605 equ)
% Maximal formula atoms : 221 ( 2 avg)
% Number of connectives : 7368 (4280 ~;2866 |; 200 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 203 ( 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 : 2 ( 0 sgn 0 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1] :
( succ(n0) = n1
& succ(n1) = n2
& succ(n2) = n3
& succ(n3) = n4
& succ(n4) = n5
& succ(n5) = n6
& succ(n6) = n7
& succ(n7) = n8
& succ(n8) = n9
& succ(n9) = n10
& succ(n10) = n0
& pred(n0) = n10
& pred(n1) = n0
& pred(n2) = n1
& pred(n3) = n2
& pred(n4) = n3
& pred(n5) = n4
& pred(n6) = n5
& pred(n7) = n6
& pred(n8) = n7
& pred(n9) = n8
& pred(n10) = n9
& sum(n0,n0) = n0
& sum(n0,n1) = n1
& sum(n0,n2) = n2
& sum(n0,n3) = n3
& sum(n0,n4) = n4
& sum(n0,n5) = n5
& sum(n0,n6) = n6
& sum(n0,n7) = n7
& sum(n0,n8) = n8
& sum(n0,n9) = n9
& sum(n0,n10) = n10
& sum(n1,n0) = n1
& sum(n1,n1) = n2
& sum(n1,n2) = n3
& sum(n1,n3) = n4
& sum(n1,n4) = n5
& sum(n1,n5) = n6
& sum(n1,n6) = n7
& sum(n1,n7) = n8
& sum(n1,n8) = n9
& sum(n1,n9) = n10
& sum(n1,n10) = n0
& sum(n2,n0) = n2
& sum(n2,n1) = n3
& sum(n2,n2) = n4
& sum(n2,n3) = n5
& sum(n2,n4) = n6
& sum(n2,n5) = n7
& sum(n2,n6) = n8
& sum(n2,n7) = n9
& sum(n2,n8) = n10
& sum(n2,n9) = n0
& sum(n2,n10) = n1
& sum(n3,n0) = n3
& sum(n3,n1) = n4
& sum(n3,n2) = n5
& sum(n3,n3) = n6
& sum(n3,n4) = n7
& sum(n3,n5) = n8
& sum(n3,n6) = n9
& sum(n3,n7) = n10
& sum(n3,n8) = n0
& sum(n3,n9) = n1
& sum(n3,n10) = n2
& sum(n4,n0) = n4
& sum(n4,n1) = n5
& sum(n4,n2) = n6
& sum(n4,n3) = n7
& sum(n4,n4) = n8
& sum(n4,n5) = n9
& sum(n4,n6) = n10
& sum(n4,n7) = n0
& sum(n4,n8) = n1
& sum(n4,n9) = n2
& sum(n4,n10) = n3
& sum(n5,n0) = n5
& sum(n5,n1) = n6
& sum(n5,n2) = n7
& sum(n5,n3) = n8
& sum(n5,n4) = n9
& sum(n5,n5) = n10
& sum(n5,n6) = n0
& sum(n5,n7) = n1
& sum(n5,n8) = n2
& sum(n5,n9) = n3
& sum(n5,n10) = n4
& sum(n6,n0) = n6
& sum(n6,n1) = n7
& sum(n6,n2) = n8
& sum(n6,n3) = n9
& sum(n6,n4) = n10
& sum(n6,n5) = n0
& sum(n6,n6) = n1
& sum(n6,n7) = n2
& sum(n6,n8) = n3
& sum(n6,n9) = n4
& sum(n6,n10) = n5
& sum(n7,n0) = n7
& sum(n7,n1) = n8
& sum(n7,n2) = n9
& sum(n7,n3) = n10
& sum(n7,n4) = n0
& sum(n7,n5) = n1
& sum(n7,n6) = n2
& sum(n7,n7) = n3
& sum(n7,n8) = n4
& sum(n7,n9) = n5
& sum(n7,n10) = n6
& sum(n8,n0) = n8
& sum(n8,n1) = n9
& sum(n8,n2) = n10
& sum(n8,n3) = n0
& sum(n8,n4) = n1
& sum(n8,n5) = n2
& sum(n8,n6) = n3
& sum(n8,n7) = n4
& sum(n8,n8) = n5
& sum(n8,n9) = n6
& sum(n8,n10) = n7
& sum(n9,n0) = n9
& sum(n9,n1) = n10
& sum(n9,n2) = n0
& sum(n9,n3) = n1
& sum(n9,n4) = n2
& sum(n9,n5) = n3
& sum(n9,n6) = n4
& sum(n9,n7) = n5
& sum(n9,n8) = n6
& sum(n9,n9) = n7
& sum(n9,n10) = n8
& sum(n10,n0) = n10
& sum(n10,n1) = n0
& sum(n10,n2) = n1
& sum(n10,n3) = n2
& sum(n10,n4) = n3
& sum(n10,n5) = n4
& sum(n10,n6) = n5
& sum(n10,n7) = n6
& sum(n10,n8) = n7
& sum(n10,n9) = n8
& sum(n10,n10) = n9
& ( X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4
| X0 = n5
| X0 = n6
| X0 = n7
| X0 = n8
| X0 = n9
| X0 = n10 )
& ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5
| X1 = n6
| X1 = n7
| X1 = n8
| X1 = n9
| X1 = n10 )
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) != sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1)))
& n0 != n1
& n0 != n2
& n0 != n3
& n0 != n4
& n0 != n5
& n0 != n6
& n0 != n7
& n0 != n8
& n0 != n9
& n0 != n10
& n1 != n2
& n1 != n3
& n1 != n4
& n1 != n5
& n1 != n6
& n1 != n7
& n1 != n8
& n1 != n9
& n1 != n10
& n2 != n3
& n2 != n4
& n2 != n5
& n2 != n6
& n2 != n7
& n2 != n8
& n2 != n9
& n2 != n10
& n3 != n4
& n3 != n5
& n3 != n6
& n3 != n7
& n3 != n8
& n3 != n9
& n3 != n10
& n4 != n5
& n4 != n6
& n4 != n7
& n4 != n8
& n4 != n9
& n4 != n10
& n5 != n6
& n5 != n7
& n5 != n8
& n5 != n9
& n5 != n10
& n6 != n7
& n6 != n8
& n6 != n9
& n6 != n10
& n7 != n8
& n7 != n9
& n7 != n10
& n8 != n9
& n8 != n10
& n9 != n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2,plain,
( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f1]) ).
fof(f3,plain,
( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f1]) ).
fof(f59,plain,
sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))),
inference(cnf_transformation,[],[f1]) ).
fof(f60,plain,
n9 = sum(n10,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f61,plain,
n8 = sum(n10,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f62,plain,
n7 = sum(n10,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f63,plain,
n6 = sum(n10,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
n5 = sum(n10,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f65,plain,
n4 = sum(n10,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
n3 = sum(n10,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
n2 = sum(n10,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
n1 = sum(n10,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
n0 = sum(n10,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f71,plain,
n8 = sum(n9,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
n7 = sum(n9,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f73,plain,
n6 = sum(n9,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
n5 = sum(n9,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f75,plain,
n4 = sum(n9,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f76,plain,
n3 = sum(n9,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f77,plain,
n2 = sum(n9,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f78,plain,
n1 = sum(n9,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f79,plain,
n0 = sum(n9,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f80,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f81,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f82,plain,
n7 = sum(n8,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f83,plain,
n6 = sum(n8,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
n5 = sum(n8,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f85,plain,
n4 = sum(n8,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f86,plain,
n3 = sum(n8,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f87,plain,
n2 = sum(n8,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f88,plain,
n1 = sum(n8,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f89,plain,
n0 = sum(n8,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f90,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f91,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f92,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f93,plain,
n6 = sum(n7,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f94,plain,
n5 = sum(n7,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f95,plain,
n4 = sum(n7,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f96,plain,
n3 = sum(n7,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f97,plain,
n2 = sum(n7,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f98,plain,
n1 = sum(n7,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f99,plain,
n0 = sum(n7,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f100,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f101,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f102,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f103,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f104,plain,
n5 = sum(n6,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f105,plain,
n4 = sum(n6,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f106,plain,
n3 = sum(n6,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f107,plain,
n2 = sum(n6,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f108,plain,
n1 = sum(n6,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f109,plain,
n0 = sum(n6,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f110,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f111,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f112,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f113,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f114,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f115,plain,
n4 = sum(n5,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f116,plain,
n3 = sum(n5,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f117,plain,
n2 = sum(n5,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f118,plain,
n1 = sum(n5,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f119,plain,
n0 = sum(n5,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f120,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f121,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f122,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f123,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f124,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f125,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f126,plain,
n3 = sum(n4,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f127,plain,
n2 = sum(n4,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f128,plain,
n1 = sum(n4,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f129,plain,
n0 = sum(n4,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f130,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f131,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f132,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f133,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f134,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f135,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f136,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f137,plain,
n2 = sum(n3,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f138,plain,
n1 = sum(n3,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f139,plain,
n0 = sum(n3,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f140,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f141,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f142,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f143,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f144,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f145,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f146,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f147,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f148,plain,
n1 = sum(n2,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f149,plain,
n0 = sum(n2,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f150,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f151,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f152,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f153,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f154,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f155,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f156,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f157,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f158,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f159,plain,
n0 = sum(n1,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f160,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f161,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f162,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f163,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f164,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f165,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f166,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f167,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f168,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f169,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f170,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f171,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f172,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f173,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f174,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f175,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f176,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f177,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f178,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f179,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f180,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f181,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f1]) ).
fof(f182,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f1]) ).
fof(f183,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f1]) ).
fof(f184,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f1]) ).
fof(f185,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f1]) ).
fof(f186,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f1]) ).
fof(f187,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f1]) ).
fof(f188,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f1]) ).
fof(f189,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f1]) ).
fof(f190,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f1]) ).
fof(f191,plain,
n10 = pred(n0),
inference(cnf_transformation,[],[f1]) ).
fof(f192,plain,
n0 = succ(n10),
inference(cnf_transformation,[],[f1]) ).
fof(f193,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f1]) ).
fof(f194,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f1]) ).
fof(f195,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f1]) ).
fof(f196,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f1]) ).
fof(f197,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f1]) ).
fof(f198,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f1]) ).
fof(f199,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f1]) ).
fof(f200,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f1]) ).
fof(f201,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f1]) ).
fof(f202,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f1]) ).
fof(f204,definition,
( spl2_1
<=> n0 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f206,plain,
( n0 = sK0
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f208,definition,
( spl2_2
<=> n1 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f210,plain,
( n1 = sK0
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f212,definition,
( spl2_3
<=> n2 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f214,plain,
( n2 = sK0
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f216,definition,
( spl2_4
<=> n3 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f218,plain,
( n3 = sK0
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f220,definition,
( spl2_5
<=> n4 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f222,plain,
( n4 = sK0
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f224,definition,
( spl2_6
<=> n5 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f226,plain,
( n5 = sK0
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f228,definition,
( spl2_7
<=> n6 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f230,plain,
( n6 = sK0
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f232,definition,
( spl2_8
<=> n7 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f234,plain,
( n7 = sK0
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f236,definition,
( spl2_9
<=> n8 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f238,plain,
( n8 = sK0
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f240,definition,
( spl2_10
<=> n9 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f242,plain,
( n9 = sK0
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f244,definition,
( spl2_11
<=> n10 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f246,plain,
( n10 = sK0
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f247,plain,
( spl2_1
| spl2_2
| spl2_3
| spl2_4
| spl2_5
| spl2_6
| spl2_7
| spl2_8
| spl2_9
| spl2_10
| spl2_11 ),
inference(avatar_split_clause,[],[f2,f244,f240,f236,f232,f228,f224,f220,f216,f212,f208,f204]) ).
fof(f249,definition,
( spl2_12
<=> n0 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f251,plain,
( n0 = sK1
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f253,definition,
( spl2_13
<=> n1 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f255,plain,
( n1 = sK1
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f257,definition,
( spl2_14
<=> n2 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f259,plain,
( n2 = sK1
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f261,definition,
( spl2_15
<=> n3 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f263,plain,
( n3 = sK1
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl2_16
<=> n4 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f267,plain,
( n4 = sK1
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl2_17
<=> n5 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f271,plain,
( n5 = sK1
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,definition,
( spl2_18
<=> n6 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f275,plain,
( n6 = sK1
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f277,definition,
( spl2_19
<=> n7 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
fof(f279,plain,
( n7 = sK1
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl2_20
<=> n8 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
fof(f283,plain,
( n8 = sK1
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl2_21
<=> n9 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
fof(f287,plain,
( n9 = sK1
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl2_22
<=> n10 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
fof(f291,plain,
( n10 = sK1
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,plain,
( spl2_12
| spl2_13
| spl2_14
| spl2_15
| spl2_16
| spl2_17
| spl2_18
| spl2_19
| spl2_20
| spl2_21
| spl2_22 ),
inference(avatar_split_clause,[],[f3,f289,f285,f281,f277,f273,f269,f265,f261,f257,f253,f249]) ).
fof(f293,plain,
( sum(sum(pred(sK0),succ(n0)),sum(pred(n0),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n0),succ(n0)))
| ~ spl2_12 ),
inference(superposition,[],[f59,f251]) ).
fof(f294,plain,
( sum(sum(pred(n1),succ(sK1)),sum(pred(sK1),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(sK1),succ(sK1)))
| ~ spl2_2 ),
inference(superposition,[],[f59,f210]) ).
fof(f296,plain,
( sum(sum(pred(sK0),n1),sum(pred(n0),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n0),n1))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f293,f202]) ).
fof(f298,plain,
( sum(sum(pred(sK0),n1),sum(n10,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n10,n1))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f296,f191]) ).
fof(f300,plain,
( sum(sum(pred(sK0),n1),sum(n10,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n0)
| ~ spl2_12 ),
inference(forward_demodulation,[],[f298,f69]) ).
fof(f302,plain,
( sum(sum(pred(n1),n1),sum(n10,succ(n1))) != sum(sum(pred(n1),succ(n1)),n0)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f300,f210]) ).
fof(f304,plain,
( sum(sum(pred(n1),n1),sum(n10,n2)) != sum(sum(pred(n1),n2),n0)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f302,f201]) ).
fof(f306,plain,
( sum(sum(n0,n1),sum(n10,n2)) != sum(sum(n0,n2),n0)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f304,f190]) ).
fof(f308,plain,
( sum(n2,n0) != sum(sum(n0,n1),sum(n10,n2))
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f306,f178]) ).
fof(f310,plain,
( sum(n2,n0) != sum(sum(n0,n1),n1)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f308,f68]) ).
fof(f312,plain,
( sum(n1,n1) != sum(n2,n0)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f310,f179]) ).
fof(f314,plain,
( n2 != sum(n1,n1)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f312,f158]) ).
fof(f317,plain,
( $false
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f314,f168]) ).
fof(f318,plain,
( ~ spl2_2
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f319,plain,
( sum(sum(pred(n1),succ(n1)),sum(pred(n1),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n1),succ(n1)))
| ~ spl2_2
| ~ spl2_13 ),
inference(forward_demodulation,[],[f294,f255]) ).
fof(f320,plain,
( $false
| ~ spl2_2
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f319]) ).
fof(f321,plain,
( ~ spl2_2
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f322,plain,
( sum(sum(pred(n1),succ(n2)),sum(pred(n2),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n2),succ(n2)))
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f294,f259]) ).
fof(f323,plain,
( sum(sum(pred(n1),n3),sum(pred(n2),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n2),n3))
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f322,f200]) ).
fof(f324,plain,
( sum(sum(pred(n1),n3),sum(n1,succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(n1,n3))
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f323,f189]) ).
fof(f325,plain,
( sum(sum(pred(n1),n3),sum(n1,succ(n1))) != sum(sum(pred(n1),succ(n1)),n4)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f324,f166]) ).
fof(f326,plain,
( sum(sum(pred(n1),n3),sum(n1,n2)) != sum(sum(pred(n1),n2),n4)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f325,f201]) ).
fof(f327,plain,
( sum(sum(n0,n3),sum(n1,n2)) != sum(sum(n0,n2),n4)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f326,f190]) ).
fof(f328,plain,
( sum(n2,n4) != sum(sum(n0,n3),sum(n1,n2))
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f327,f178]) ).
fof(f329,plain,
( sum(n2,n4) != sum(sum(n0,n3),n3)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f328,f167]) ).
fof(f330,plain,
( sum(n2,n4) != sum(n3,n3)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f329,f177]) ).
fof(f331,plain,
( n6 != sum(n2,n4)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f330,f144]) ).
fof(f332,plain,
( $false
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f331,f154]) ).
fof(f333,plain,
( ~ spl2_2
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f334,plain,
( sum(sum(pred(n1),succ(n3)),sum(pred(n3),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n3),succ(n3)))
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f294,f263]) ).
fof(f335,plain,
( sum(sum(pred(n1),n4),sum(pred(n3),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n3),n4))
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f334,f199]) ).
fof(f336,plain,
( sum(sum(pred(n1),n4),sum(n2,succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(n2,n4))
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f335,f188]) ).
fof(f337,plain,
( sum(sum(pred(n1),n4),sum(n2,succ(n1))) != sum(sum(pred(n1),succ(n1)),n6)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f336,f154]) ).
fof(f338,plain,
( sum(sum(pred(n1),n4),sum(n2,n2)) != sum(sum(pred(n1),n2),n6)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f337,f201]) ).
fof(f339,plain,
( sum(sum(n0,n4),sum(n2,n2)) != sum(sum(n0,n2),n6)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f338,f190]) ).
fof(f340,plain,
( sum(n2,n6) != sum(sum(n0,n4),sum(n2,n2))
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f339,f178]) ).
fof(f341,plain,
( sum(n2,n6) != sum(sum(n0,n4),n4)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f340,f156]) ).
fof(f342,plain,
( sum(n2,n6) != sum(n4,n4)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f341,f176]) ).
fof(f343,plain,
( n8 != sum(n2,n6)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f342,f132]) ).
fof(f344,plain,
( $false
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f343,f152]) ).
fof(f345,plain,
( ~ spl2_2
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f346,plain,
( sum(sum(pred(n1),succ(n4)),sum(pred(n4),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n4),succ(n4)))
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f294,f267]) ).
fof(f347,plain,
( sum(sum(pred(n1),n5),sum(pred(n4),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n4),n5))
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f346,f198]) ).
fof(f348,plain,
( sum(sum(pred(n1),n5),sum(n3,succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(n3,n5))
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f347,f187]) ).
fof(f349,plain,
( sum(sum(pred(n1),n5),sum(n3,succ(n1))) != sum(sum(pred(n1),succ(n1)),n8)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f348,f142]) ).
fof(f350,plain,
( sum(sum(pred(n1),n5),sum(n3,n2)) != sum(sum(pred(n1),n2),n8)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f349,f201]) ).
fof(f351,plain,
( sum(sum(n0,n5),sum(n3,n2)) != sum(sum(n0,n2),n8)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f350,f190]) ).
fof(f352,plain,
( sum(n2,n8) != sum(sum(n0,n5),sum(n3,n2))
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f351,f178]) ).
fof(f353,plain,
( sum(n2,n8) != sum(sum(n0,n5),n5)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f352,f145]) ).
fof(f354,plain,
( sum(n2,n8) != sum(n5,n5)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f353,f175]) ).
fof(f355,plain,
( n10 != sum(n2,n8)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f354,f120]) ).
fof(f356,plain,
( $false
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f355,f150]) ).
fof(f357,plain,
( ~ spl2_2
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f358,plain,
( sum(sum(pred(n1),succ(n5)),sum(pred(n5),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n5),succ(n5)))
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f294,f271]) ).
fof(f359,plain,
( sum(sum(pred(n1),n6),sum(pred(n5),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n5),n6))
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f358,f197]) ).
fof(f360,plain,
( sum(sum(pred(n1),n6),sum(n4,succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(n4,n6))
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f359,f186]) ).
fof(f361,plain,
( sum(sum(pred(n1),n6),sum(n4,succ(n1))) != sum(sum(pred(n1),succ(n1)),n10)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f360,f130]) ).
fof(f362,plain,
( sum(sum(pred(n1),n6),sum(n4,n2)) != sum(sum(pred(n1),n2),n10)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f361,f201]) ).
fof(f363,plain,
( sum(sum(n0,n6),sum(n4,n2)) != sum(sum(n0,n2),n10)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f362,f190]) ).
fof(f364,plain,
( sum(n2,n10) != sum(sum(n0,n6),sum(n4,n2))
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f363,f178]) ).
fof(f365,plain,
( sum(n2,n10) != sum(sum(n0,n6),n6)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f364,f134]) ).
fof(f366,plain,
( sum(n2,n10) != sum(n6,n6)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f365,f174]) ).
fof(f367,plain,
( n1 != sum(n2,n10)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f366,f108]) ).
fof(f368,plain,
( $false
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f367,f148]) ).
fof(f369,plain,
( ~ spl2_2
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f370,plain,
( sum(sum(pred(n1),succ(n6)),sum(pred(n6),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n6),succ(n6)))
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f294,f275]) ).
fof(f371,plain,
( sum(sum(pred(n1),n7),sum(pred(n6),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n6),n7))
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f370,f196]) ).
fof(f372,plain,
( sum(sum(pred(n1),n7),sum(n5,succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(n5,n7))
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f371,f185]) ).
fof(f373,plain,
( sum(sum(pred(n1),n7),sum(n5,succ(n1))) != sum(sum(pred(n1),succ(n1)),n1)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f372,f118]) ).
fof(f374,plain,
( sum(sum(pred(n1),n7),sum(n5,n2)) != sum(sum(pred(n1),n2),n1)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f373,f201]) ).
fof(f375,plain,
( sum(sum(n0,n7),sum(n5,n2)) != sum(sum(n0,n2),n1)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f374,f190]) ).
fof(f376,plain,
( sum(n2,n1) != sum(sum(n0,n7),sum(n5,n2))
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f375,f178]) ).
fof(f377,plain,
( sum(n2,n1) != sum(sum(n0,n7),n7)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f376,f123]) ).
fof(f378,plain,
( sum(n2,n1) != sum(n7,n7)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f377,f173]) ).
fof(f379,plain,
( n3 != sum(n2,n1)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f378,f96]) ).
fof(f380,plain,
( $false
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f379,f157]) ).
fof(f381,plain,
( ~ spl2_2
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f382,plain,
( sum(sum(pred(n1),succ(n7)),sum(pred(n7),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n7),succ(n7)))
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f294,f279]) ).
fof(f383,plain,
( sum(sum(pred(n1),n8),sum(pred(n7),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n7),n8))
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f382,f195]) ).
fof(f384,plain,
( sum(sum(pred(n1),n8),sum(n6,succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(n6,n8))
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f383,f184]) ).
fof(f385,plain,
( sum(sum(pred(n1),n8),sum(n6,succ(n1))) != sum(sum(pred(n1),succ(n1)),n3)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f384,f106]) ).
fof(f386,plain,
( sum(sum(pred(n1),n8),sum(n6,n2)) != sum(sum(pred(n1),n2),n3)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f385,f201]) ).
fof(f387,plain,
( sum(sum(n0,n8),sum(n6,n2)) != sum(sum(n0,n2),n3)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f386,f190]) ).
fof(f388,plain,
( sum(n2,n3) != sum(sum(n0,n8),sum(n6,n2))
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f387,f178]) ).
fof(f389,plain,
( sum(n2,n3) != sum(sum(n0,n8),n8)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f388,f112]) ).
fof(f390,plain,
( sum(n2,n3) != sum(n8,n8)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f389,f172]) ).
fof(f391,plain,
( n5 != sum(n2,n3)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f390,f84]) ).
fof(f392,plain,
( $false
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f391,f155]) ).
fof(f393,plain,
( ~ spl2_2
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f394,plain,
( sum(sum(pred(n1),succ(n8)),sum(pred(n8),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n8),succ(n8)))
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f294,f283]) ).
fof(f395,plain,
( sum(sum(pred(n1),n9),sum(pred(n8),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n8),n9))
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f394,f194]) ).
fof(f396,plain,
( sum(sum(pred(n1),n9),sum(n7,succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(n7,n9))
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f395,f183]) ).
fof(f397,plain,
( sum(sum(pred(n1),n9),sum(n7,succ(n1))) != sum(sum(pred(n1),succ(n1)),n5)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f396,f94]) ).
fof(f398,plain,
( sum(sum(pred(n1),n9),sum(n7,n2)) != sum(sum(pred(n1),n2),n5)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f397,f201]) ).
fof(f399,plain,
( sum(sum(n0,n9),sum(n7,n2)) != sum(sum(n0,n2),n5)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f398,f190]) ).
fof(f400,plain,
( sum(n2,n5) != sum(sum(n0,n9),sum(n7,n2))
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f399,f178]) ).
fof(f401,plain,
( sum(n2,n5) != sum(sum(n0,n9),n9)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f400,f101]) ).
fof(f402,plain,
( sum(n2,n5) != sum(n9,n9)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f401,f171]) ).
fof(f403,plain,
( n7 != sum(n2,n5)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f402,f72]) ).
fof(f404,plain,
( $false
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f403,f153]) ).
fof(f405,plain,
( ~ spl2_2
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f406,plain,
( sum(sum(pred(n1),succ(n9)),sum(pred(n9),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n9),succ(n9)))
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f294,f287]) ).
fof(f407,plain,
( sum(sum(pred(n1),n10),sum(pred(n9),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n9),n10))
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f406,f193]) ).
fof(f408,plain,
( sum(sum(pred(n1),n10),sum(n8,succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(n8,n10))
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f407,f182]) ).
fof(f409,plain,
( sum(sum(pred(n1),n10),sum(n8,succ(n1))) != sum(sum(pred(n1),succ(n1)),n7)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f408,f82]) ).
fof(f410,plain,
( sum(sum(pred(n1),n10),sum(n8,n2)) != sum(sum(pred(n1),n2),n7)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f409,f201]) ).
fof(f411,plain,
( sum(sum(n0,n10),sum(n8,n2)) != sum(sum(n0,n2),n7)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f410,f190]) ).
fof(f412,plain,
( sum(n2,n7) != sum(sum(n0,n10),sum(n8,n2))
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f411,f178]) ).
fof(f413,plain,
( sum(n2,n7) != sum(sum(n0,n10),n10)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f412,f90]) ).
fof(f414,plain,
( sum(n2,n7) != sum(n10,n10)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f413,f170]) ).
fof(f415,plain,
( n9 != sum(n2,n7)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f414,f60]) ).
fof(f416,plain,
( $false
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f415,f151]) ).
fof(f417,plain,
( ~ spl2_2
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f418,plain,
( sum(sum(pred(n1),succ(n10)),sum(pred(n10),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n10),succ(n10)))
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f294,f291]) ).
fof(f419,plain,
( sum(sum(pred(n1),n0),sum(pred(n10),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(n10),n0))
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f418,f192]) ).
fof(f420,plain,
( sum(sum(pred(n1),n0),sum(n9,succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(n9,n0))
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f419,f181]) ).
fof(f421,plain,
( sum(sum(pred(n1),n0),sum(n9,succ(n1))) != sum(sum(pred(n1),succ(n1)),n9)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f420,f81]) ).
fof(f422,plain,
( sum(sum(pred(n1),n0),sum(n9,n2)) != sum(sum(pred(n1),n2),n9)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f421,f201]) ).
fof(f423,plain,
( sum(sum(n0,n0),sum(n9,n2)) != sum(sum(n0,n2),n9)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f422,f190]) ).
fof(f424,plain,
( sum(n2,n9) != sum(sum(n0,n0),sum(n9,n2))
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f423,f178]) ).
fof(f425,plain,
( sum(n2,n9) != sum(sum(n0,n0),n0)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f424,f79]) ).
fof(f426,plain,
( sum(n0,n0) != sum(n2,n9)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f425,f180]) ).
fof(f427,plain,
( n0 != sum(n0,n0)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f426,f149]) ).
fof(f428,plain,
( $false
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f427,f180]) ).
fof(f429,plain,
( ~ spl2_2
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f431,plain,
( sum(sum(pred(n8),succ(sK1)),sum(pred(sK1),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(sK1),succ(sK1)))
| ~ spl2_9 ),
inference(superposition,[],[f59,f238]) ).
fof(f432,plain,
( sum(sum(pred(n8),succ(n3)),sum(pred(n3),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n3),succ(n3)))
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f431,f263]) ).
fof(f433,plain,
( sum(sum(pred(n8),n4),sum(pred(n3),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n3),n4))
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f432,f199]) ).
fof(f434,plain,
( sum(sum(pred(n8),n4),sum(n2,succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(n2,n4))
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f433,f188]) ).
fof(f435,plain,
( sum(sum(pred(n8),n4),sum(n2,succ(n8))) != sum(sum(pred(n8),succ(n8)),n6)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f434,f154]) ).
fof(f436,plain,
( sum(sum(pred(n8),n4),sum(n2,n9)) != sum(sum(pred(n8),n9),n6)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f435,f194]) ).
fof(f437,plain,
( sum(sum(n7,n4),sum(n2,n9)) != sum(sum(n7,n9),n6)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f436,f183]) ).
fof(f438,plain,
( sum(n5,n6) != sum(sum(n7,n4),sum(n2,n9))
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f437,f94]) ).
fof(f439,plain,
( sum(n5,n6) != sum(sum(n7,n4),n0)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f438,f149]) ).
fof(f440,plain,
( sum(n0,n0) != sum(n5,n6)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f439,f99]) ).
fof(f441,plain,
( n0 != sum(n0,n0)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f440,f119]) ).
fof(f442,plain,
( $false
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f441,f180]) ).
fof(f443,plain,
( ~ spl2_9
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f446,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1)))
| ~ spl2_6 ),
inference(superposition,[],[f59,f226]) ).
fof(f447,plain,
( sum(sum(pred(n5),succ(n3)),sum(pred(n3),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n3),succ(n3)))
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f446,f263]) ).
fof(f448,plain,
( sum(sum(pred(n5),n4),sum(pred(n3),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n3),n4))
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f447,f199]) ).
fof(f449,plain,
( sum(sum(pred(n5),n4),sum(n2,succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(n2,n4))
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f448,f188]) ).
fof(f450,plain,
( sum(sum(pred(n5),n4),sum(n2,succ(n5))) != sum(sum(pred(n5),succ(n5)),n6)
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f449,f154]) ).
fof(f451,plain,
( sum(sum(pred(n5),n4),sum(n2,n6)) != sum(sum(pred(n5),n6),n6)
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f450,f197]) ).
fof(f452,plain,
( sum(sum(n4,n4),sum(n2,n6)) != sum(sum(n4,n6),n6)
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f451,f186]) ).
fof(f453,plain,
( sum(n10,n6) != sum(sum(n4,n4),sum(n2,n6))
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f452,f130]) ).
fof(f454,plain,
( sum(n10,n6) != sum(sum(n4,n4),n8)
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f453,f152]) ).
fof(f455,plain,
( sum(n8,n8) != sum(n10,n6)
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f454,f132]) ).
fof(f456,plain,
( n5 != sum(n8,n8)
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f455,f64]) ).
fof(f457,plain,
( $false
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f456,f84]) ).
fof(f458,plain,
( ~ spl2_6
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f462,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1)))
| ~ spl2_1 ),
inference(superposition,[],[f59,f206]) ).
fof(f463,plain,
( sum(sum(pred(n0),succ(n3)),sum(pred(n3),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n3),succ(n3)))
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f462,f263]) ).
fof(f464,plain,
( sum(sum(pred(n0),n4),sum(pred(n3),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n3),n4))
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f463,f199]) ).
fof(f465,plain,
( sum(sum(pred(n0),n4),sum(n2,succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(n2,n4))
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f464,f188]) ).
fof(f466,plain,
( sum(sum(pred(n0),n4),sum(n2,succ(n0))) != sum(sum(pred(n0),succ(n0)),n6)
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f465,f154]) ).
fof(f467,plain,
( sum(sum(pred(n0),n4),sum(n2,n1)) != sum(sum(pred(n0),n1),n6)
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f466,f202]) ).
fof(f468,plain,
( sum(sum(n10,n4),sum(n2,n1)) != sum(sum(n10,n1),n6)
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f467,f191]) ).
fof(f469,plain,
( sum(n0,n6) != sum(sum(n10,n4),sum(n2,n1))
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f468,f69]) ).
fof(f470,plain,
( sum(n0,n6) != sum(sum(n10,n4),n3)
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f469,f157]) ).
fof(f471,plain,
( sum(n0,n6) != sum(n3,n3)
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f470,f66]) ).
fof(f472,plain,
( n6 != sum(n0,n6)
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f471,f144]) ).
fof(f473,plain,
( $false
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f472,f174]) ).
fof(f474,plain,
( ~ spl2_1
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f479,plain,
( sum(sum(pred(n6),succ(sK1)),sum(pred(sK1),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1),succ(sK1)))
| ~ spl2_7 ),
inference(superposition,[],[f59,f230]) ).
fof(f480,plain,
( sum(sum(pred(n6),succ(n3)),sum(pred(n3),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n3),succ(n3)))
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f479,f263]) ).
fof(f481,plain,
( sum(sum(pred(n6),n4),sum(pred(n3),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n3),n4))
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f480,f199]) ).
fof(f482,plain,
( sum(sum(pred(n6),n4),sum(n2,succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(n2,n4))
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f481,f188]) ).
fof(f483,plain,
( sum(sum(pred(n6),n4),sum(n2,succ(n6))) != sum(sum(pred(n6),succ(n6)),n6)
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f482,f154]) ).
fof(f484,plain,
( sum(sum(pred(n6),n4),sum(n2,n7)) != sum(sum(pred(n6),n7),n6)
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f483,f196]) ).
fof(f485,plain,
( sum(sum(n5,n4),sum(n2,n7)) != sum(sum(n5,n7),n6)
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f484,f185]) ).
fof(f486,plain,
( sum(n1,n6) != sum(sum(n5,n4),sum(n2,n7))
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f485,f118]) ).
fof(f487,plain,
( sum(n1,n6) != sum(sum(n5,n4),n9)
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f486,f151]) ).
fof(f488,plain,
( sum(n1,n6) != sum(n9,n9)
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f487,f121]) ).
fof(f489,plain,
( n7 != sum(n1,n6)
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f488,f72]) ).
fof(f490,plain,
( $false
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f489,f163]) ).
fof(f491,plain,
( ~ spl2_7
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f497,plain,
( sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1)))
| ~ spl2_5 ),
inference(superposition,[],[f59,f222]) ).
fof(f498,plain,
( sum(sum(pred(n4),succ(n3)),sum(pred(n3),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n3),succ(n3)))
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f497,f263]) ).
fof(f499,plain,
( sum(sum(pred(n4),n4),sum(pred(n3),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n3),n4))
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f498,f199]) ).
fof(f500,plain,
( sum(sum(pred(n4),n4),sum(n2,succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(n2,n4))
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f499,f188]) ).
fof(f501,plain,
( sum(sum(pred(n4),n4),sum(n2,succ(n4))) != sum(sum(pred(n4),succ(n4)),n6)
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f500,f154]) ).
fof(f502,plain,
( sum(sum(pred(n4),n4),sum(n2,n5)) != sum(sum(pred(n4),n5),n6)
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f501,f198]) ).
fof(f503,plain,
( sum(sum(n3,n4),sum(n2,n5)) != sum(sum(n3,n5),n6)
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f502,f187]) ).
fof(f504,plain,
( sum(n8,n6) != sum(sum(n3,n4),sum(n2,n5))
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f503,f142]) ).
fof(f505,plain,
( sum(n8,n6) != sum(sum(n3,n4),n7)
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f504,f153]) ).
fof(f506,plain,
( sum(n7,n7) != sum(n8,n6)
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f505,f143]) ).
fof(f507,plain,
( n3 != sum(n7,n7)
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f506,f86]) ).
fof(f508,plain,
( $false
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f507,f96]) ).
fof(f509,plain,
( ~ spl2_5
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f516,plain,
( sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1),succ(sK1)))
| ~ spl2_4 ),
inference(superposition,[],[f59,f218]) ).
fof(f517,plain,
( sum(sum(pred(n3),succ(n3)),sum(pred(n3),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n3),succ(n3)))
| ~ spl2_4
| ~ spl2_15 ),
inference(forward_demodulation,[],[f516,f263]) ).
fof(f518,plain,
( $false
| ~ spl2_4
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f517]) ).
fof(f519,plain,
( ~ spl2_4
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f527,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_3 ),
inference(superposition,[],[f59,f214]) ).
fof(f528,plain,
( sum(sum(pred(n2),succ(n3)),sum(pred(n3),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n3),succ(n3)))
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f527,f263]) ).
fof(f529,plain,
( sum(sum(pred(n2),n4),sum(pred(n3),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n3),n4))
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f528,f199]) ).
fof(f530,plain,
( sum(sum(pred(n2),n4),sum(n2,succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(n2,n4))
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f529,f188]) ).
fof(f531,plain,
( sum(sum(pred(n2),n4),sum(n2,succ(n2))) != sum(sum(pred(n2),succ(n2)),n6)
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f530,f154]) ).
fof(f532,plain,
( sum(sum(pred(n2),n4),sum(n2,n3)) != sum(sum(pred(n2),n3),n6)
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f531,f200]) ).
fof(f533,plain,
( sum(sum(n1,n4),sum(n2,n3)) != sum(sum(n1,n3),n6)
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f532,f189]) ).
fof(f534,plain,
( sum(n4,n6) != sum(sum(n1,n4),sum(n2,n3))
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f533,f166]) ).
fof(f535,plain,
( sum(n4,n6) != sum(sum(n1,n4),n5)
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f534,f155]) ).
fof(f536,plain,
( sum(n4,n6) != sum(n5,n5)
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f535,f165]) ).
fof(f537,plain,
( n10 != sum(n4,n6)
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f536,f120]) ).
fof(f538,plain,
( $false
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f537,f130]) ).
fof(f539,plain,
( ~ spl2_3
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f548,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1),succ(sK1)))
| ~ spl2_8 ),
inference(superposition,[],[f59,f234]) ).
fof(f549,plain,
( sum(sum(pred(n7),succ(n3)),sum(pred(n3),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n3),succ(n3)))
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f548,f263]) ).
fof(f550,plain,
( sum(sum(pred(n7),n4),sum(pred(n3),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n3),n4))
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f549,f199]) ).
fof(f551,plain,
( sum(sum(pred(n7),n4),sum(n2,succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(n2,n4))
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f550,f188]) ).
fof(f552,plain,
( sum(sum(pred(n7),n4),sum(n2,succ(n7))) != sum(sum(pred(n7),succ(n7)),n6)
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f551,f154]) ).
fof(f553,plain,
( sum(sum(pred(n7),n4),sum(n2,n8)) != sum(sum(pred(n7),n8),n6)
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f552,f195]) ).
fof(f554,plain,
( sum(sum(n6,n4),sum(n2,n8)) != sum(sum(n6,n8),n6)
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f553,f184]) ).
fof(f555,plain,
( sum(n3,n6) != sum(sum(n6,n4),sum(n2,n8))
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f554,f106]) ).
fof(f556,plain,
( sum(n3,n6) != sum(sum(n6,n4),n10)
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f555,f150]) ).
fof(f557,plain,
( sum(n3,n6) != sum(n10,n10)
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f556,f110]) ).
fof(f558,plain,
( n9 != sum(n3,n6)
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f557,f60]) ).
fof(f559,plain,
( $false
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f558,f141]) ).
fof(f560,plain,
( ~ spl2_8
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f570,plain,
( sum(sum(pred(n9),succ(sK1)),sum(pred(sK1),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(sK1),succ(sK1)))
| ~ spl2_10 ),
inference(superposition,[],[f59,f242]) ).
fof(f571,plain,
( sum(sum(pred(n9),succ(n3)),sum(pred(n3),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n3),succ(n3)))
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f570,f263]) ).
fof(f572,plain,
( sum(sum(pred(n9),n4),sum(pred(n3),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n3),n4))
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f571,f199]) ).
fof(f573,plain,
( sum(sum(pred(n9),n4),sum(n2,succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(n2,n4))
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f572,f188]) ).
fof(f574,plain,
( sum(sum(pred(n9),n4),sum(n2,succ(n9))) != sum(sum(pred(n9),succ(n9)),n6)
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f573,f154]) ).
fof(f575,plain,
( sum(sum(pred(n9),n4),sum(n2,n10)) != sum(sum(pred(n9),n10),n6)
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f574,f193]) ).
fof(f576,plain,
( sum(sum(n8,n4),sum(n2,n10)) != sum(sum(n8,n10),n6)
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f575,f182]) ).
fof(f577,plain,
( sum(n7,n6) != sum(sum(n8,n4),sum(n2,n10))
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f576,f82]) ).
fof(f578,plain,
( sum(n7,n6) != sum(sum(n8,n4),n1)
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f577,f148]) ).
fof(f579,plain,
( sum(n1,n1) != sum(n7,n6)
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f578,f88]) ).
fof(f580,plain,
( n2 != sum(n1,n1)
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f579,f97]) ).
fof(f581,plain,
( $false
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f580,f168]) ).
fof(f582,plain,
( ~ spl2_10
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f588,plain,
( sum(sum(pred(n10),succ(sK1)),sum(pred(sK1),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(sK1),succ(sK1)))
| ~ spl2_11 ),
inference(superposition,[],[f59,f246]) ).
fof(f594,plain,
( sum(sum(pred(n10),succ(n3)),sum(pred(n3),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n3),succ(n3)))
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f588,f263]) ).
fof(f595,plain,
( sum(sum(pred(n10),n4),sum(pred(n3),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n3),n4))
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f594,f199]) ).
fof(f596,plain,
( sum(sum(pred(n10),n4),sum(n2,succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(n2,n4))
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f595,f188]) ).
fof(f597,plain,
( sum(sum(pred(n10),n4),sum(n2,succ(n10))) != sum(sum(pred(n10),succ(n10)),n6)
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f596,f154]) ).
fof(f598,plain,
( sum(sum(pred(n10),n4),sum(n2,n0)) != sum(sum(pred(n10),n0),n6)
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f597,f192]) ).
fof(f599,plain,
( sum(sum(n9,n4),sum(n2,n0)) != sum(sum(n9,n0),n6)
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f598,f181]) ).
fof(f600,plain,
( sum(n9,n6) != sum(sum(n9,n4),sum(n2,n0))
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f599,f81]) ).
fof(f601,plain,
( sum(n9,n6) != sum(sum(n9,n4),n2)
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f600,f158]) ).
fof(f602,plain,
( sum(n2,n2) != sum(n9,n6)
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f601,f77]) ).
fof(f603,plain,
( n4 != sum(n2,n2)
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f602,f75]) ).
fof(f604,plain,
( $false
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f603,f156]) ).
fof(f605,plain,
( ~ spl2_11
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f604]) ).
fof(f611,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1),succ(sK1)))
| ~ spl2_8 ),
inference(superposition,[],[f59,f234]) ).
fof(f616,plain,
( sum(sum(pred(n7),succ(n5)),sum(pred(n5),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n5),succ(n5)))
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f611,f271]) ).
fof(f617,plain,
( sum(sum(pred(n7),n6),sum(pred(n5),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n5),n6))
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f616,f197]) ).
fof(f618,plain,
( sum(sum(pred(n7),n6),sum(n4,succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(n4,n6))
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f617,f186]) ).
fof(f619,plain,
( sum(sum(pred(n7),n6),sum(n4,succ(n7))) != sum(sum(pred(n7),succ(n7)),n10)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f618,f130]) ).
fof(f620,plain,
( sum(sum(pred(n7),n6),sum(n4,n8)) != sum(sum(pred(n7),n8),n10)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f619,f195]) ).
fof(f621,plain,
( sum(sum(n6,n6),sum(n4,n8)) != sum(sum(n6,n8),n10)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f620,f184]) ).
fof(f622,plain,
( sum(n3,n10) != sum(sum(n6,n6),sum(n4,n8))
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f621,f106]) ).
fof(f623,plain,
( sum(n3,n10) != sum(sum(n6,n6),n1)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f622,f128]) ).
fof(f624,plain,
( sum(n1,n1) != sum(n3,n10)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f623,f108]) ).
fof(f625,plain,
( n2 != sum(n1,n1)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f624,f137]) ).
fof(f626,plain,
( $false
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f625,f168]) ).
fof(f627,plain,
( ~ spl2_8
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f628,plain,
( sum(sum(pred(n7),succ(n9)),sum(pred(n9),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n9),succ(n9)))
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f611,f287]) ).
fof(f629,plain,
( sum(sum(pred(n7),n10),sum(pred(n9),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n9),n10))
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f628,f193]) ).
fof(f630,plain,
( sum(sum(pred(n7),n10),sum(n8,succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(n8,n10))
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f629,f182]) ).
fof(f631,plain,
( sum(sum(pred(n7),n10),sum(n8,succ(n7))) != sum(sum(pred(n7),succ(n7)),n7)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f630,f82]) ).
fof(f632,plain,
( sum(sum(pred(n7),n10),sum(n8,n8)) != sum(sum(pred(n7),n8),n7)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f631,f195]) ).
fof(f633,plain,
( sum(sum(n6,n10),sum(n8,n8)) != sum(sum(n6,n8),n7)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f632,f184]) ).
fof(f634,plain,
( sum(n3,n7) != sum(sum(n6,n10),sum(n8,n8))
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f633,f106]) ).
fof(f635,plain,
( sum(n3,n7) != sum(sum(n6,n10),n5)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f634,f84]) ).
fof(f636,plain,
( sum(n3,n7) != sum(n5,n5)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f635,f104]) ).
fof(f637,plain,
( n10 != sum(n3,n7)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f636,f120]) ).
fof(f638,plain,
( $false
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f637,f140]) ).
fof(f639,plain,
( ~ spl2_8
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f641,plain,
( sum(sum(pred(n7),succ(n1)),sum(pred(n1),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n1),succ(n1)))
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f611,f255]) ).
fof(f642,plain,
( sum(sum(pred(n7),n2),sum(pred(n1),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n1),n2))
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f641,f201]) ).
fof(f643,plain,
( sum(sum(pred(n7),n2),sum(n0,succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(n0,n2))
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f642,f190]) ).
fof(f644,plain,
( sum(sum(pred(n7),n2),sum(n0,succ(n7))) != sum(sum(pred(n7),succ(n7)),n2)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f643,f178]) ).
fof(f645,plain,
( sum(sum(pred(n7),n2),sum(n0,n8)) != sum(sum(pred(n7),n8),n2)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f644,f195]) ).
fof(f646,plain,
( sum(sum(n6,n2),sum(n0,n8)) != sum(sum(n6,n8),n2)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f645,f184]) ).
fof(f647,plain,
( sum(n3,n2) != sum(sum(n6,n2),sum(n0,n8))
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f646,f106]) ).
fof(f648,plain,
( sum(n3,n2) != sum(sum(n6,n2),n8)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f647,f172]) ).
fof(f649,plain,
( sum(n3,n2) != sum(n8,n8)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f648,f112]) ).
fof(f650,plain,
( n5 != sum(n3,n2)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f649,f84]) ).
fof(f651,plain,
( $false
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f650,f145]) ).
fof(f652,plain,
( ~ spl2_8
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f651]) ).
fof(f654,plain,
( sum(sum(pred(n7),succ(n7)),sum(pred(n7),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n7),succ(n7)))
| ~ spl2_8
| ~ spl2_19 ),
inference(forward_demodulation,[],[f611,f279]) ).
fof(f655,plain,
( $false
| ~ spl2_8
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f654]) ).
fof(f656,plain,
( ~ spl2_8
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f659,plain,
( sum(sum(pred(n7),succ(n6)),sum(pred(n6),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n6),succ(n6)))
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f611,f275]) ).
fof(f660,plain,
( sum(sum(pred(n7),n7),sum(pred(n6),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n6),n7))
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f659,f196]) ).
fof(f661,plain,
( sum(sum(pred(n7),n7),sum(n5,succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(n5,n7))
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f660,f185]) ).
fof(f662,plain,
( sum(sum(pred(n7),n7),sum(n5,succ(n7))) != sum(sum(pred(n7),succ(n7)),n1)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f661,f118]) ).
fof(f663,plain,
( sum(sum(pred(n7),n7),sum(n5,n8)) != sum(sum(pred(n7),n8),n1)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f662,f195]) ).
fof(f664,plain,
( sum(sum(n6,n7),sum(n5,n8)) != sum(sum(n6,n8),n1)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f663,f184]) ).
fof(f665,plain,
( sum(n3,n1) != sum(sum(n6,n7),sum(n5,n8))
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f664,f106]) ).
fof(f666,plain,
( sum(n3,n1) != sum(sum(n6,n7),n2)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f665,f117]) ).
fof(f667,plain,
( sum(n2,n2) != sum(n3,n1)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f666,f107]) ).
fof(f668,plain,
( n4 != sum(n2,n2)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f667,f146]) ).
fof(f669,plain,
( $false
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f668,f156]) ).
fof(f670,plain,
( ~ spl2_8
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f674,plain,
( sum(sum(pred(n7),succ(n0)),sum(pred(n0),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n0),succ(n0)))
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f611,f251]) ).
fof(f675,plain,
( sum(sum(pred(n7),n1),sum(pred(n0),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n0),n1))
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f674,f202]) ).
fof(f676,plain,
( sum(sum(pred(n7),n1),sum(n10,succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(n10,n1))
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f675,f191]) ).
fof(f677,plain,
( sum(sum(pred(n7),n1),sum(n10,succ(n7))) != sum(sum(pred(n7),succ(n7)),n0)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f676,f69]) ).
fof(f678,plain,
( sum(sum(pred(n7),n1),sum(n10,n8)) != sum(sum(pred(n7),n8),n0)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f677,f195]) ).
fof(f679,plain,
( sum(sum(n6,n1),sum(n10,n8)) != sum(sum(n6,n8),n0)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f678,f184]) ).
fof(f680,plain,
( sum(n3,n0) != sum(sum(n6,n1),sum(n10,n8))
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f679,f106]) ).
fof(f681,plain,
( sum(n3,n0) != sum(sum(n6,n1),n7)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f680,f62]) ).
fof(f682,plain,
( sum(n3,n0) != sum(n7,n7)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f681,f113]) ).
fof(f683,plain,
( n3 != sum(n3,n0)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f682,f96]) ).
fof(f684,plain,
( $false
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f683,f147]) ).
fof(f685,plain,
( ~ spl2_8
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f689,plain,
( sum(sum(pred(n7),succ(n10)),sum(pred(n10),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n10),succ(n10)))
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f611,f291]) ).
fof(f690,plain,
( sum(sum(pred(n7),n0),sum(pred(n10),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n10),n0))
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f689,f192]) ).
fof(f691,plain,
( sum(sum(pred(n7),n0),sum(n9,succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(n9,n0))
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f690,f181]) ).
fof(f692,plain,
( sum(sum(pred(n7),n0),sum(n9,succ(n7))) != sum(sum(pred(n7),succ(n7)),n9)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f691,f81]) ).
fof(f693,plain,
( sum(sum(pred(n7),n0),sum(n9,n8)) != sum(sum(pred(n7),n8),n9)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f692,f195]) ).
fof(f694,plain,
( sum(sum(n6,n0),sum(n9,n8)) != sum(sum(n6,n8),n9)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f693,f184]) ).
fof(f695,plain,
( sum(n3,n9) != sum(sum(n6,n0),sum(n9,n8))
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f694,f106]) ).
fof(f696,plain,
( sum(n3,n9) != sum(sum(n6,n0),n6)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f695,f73]) ).
fof(f697,plain,
( sum(n3,n9) != sum(n6,n6)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f696,f114]) ).
fof(f698,plain,
( n1 != sum(n3,n9)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f697,f108]) ).
fof(f699,plain,
( $false
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f698,f138]) ).
fof(f700,plain,
( ~ spl2_8
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f705,plain,
( sum(sum(pred(n7),succ(n4)),sum(pred(n4),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n4),succ(n4)))
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f611,f267]) ).
fof(f706,plain,
( sum(sum(pred(n7),n5),sum(pred(n4),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n4),n5))
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f705,f198]) ).
fof(f707,plain,
( sum(sum(pred(n7),n5),sum(n3,succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(n3,n5))
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f706,f187]) ).
fof(f708,plain,
( sum(sum(pred(n7),n5),sum(n3,succ(n7))) != sum(sum(pred(n7),succ(n7)),n8)
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f707,f142]) ).
fof(f709,plain,
( sum(sum(pred(n7),n5),sum(n3,n8)) != sum(sum(pred(n7),n8),n8)
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f708,f195]) ).
fof(f710,plain,
( sum(sum(n6,n5),sum(n3,n8)) != sum(sum(n6,n8),n8)
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f709,f184]) ).
fof(f711,plain,
( sum(n3,n8) != sum(sum(n6,n5),sum(n3,n8))
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f710,f106]) ).
fof(f712,plain,
( n0 != sum(sum(n6,n5),n0)
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f711,f139]) ).
fof(f713,plain,
( n0 != sum(n0,n0)
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f712,f109]) ).
fof(f714,plain,
( $false
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f713,f180]) ).
fof(f715,plain,
( ~ spl2_8
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f720,plain,
( sum(sum(pred(n7),succ(n8)),sum(pred(n8),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n8),succ(n8)))
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f611,f283]) ).
fof(f721,plain,
( sum(sum(pred(n7),n9),sum(pred(n8),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n8),n9))
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f720,f194]) ).
fof(f722,plain,
( sum(sum(pred(n7),n9),sum(n7,succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(n7,n9))
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f721,f183]) ).
fof(f723,plain,
( sum(sum(pred(n7),n9),sum(n7,succ(n7))) != sum(sum(pred(n7),succ(n7)),n5)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f722,f94]) ).
fof(f724,plain,
( sum(sum(pred(n7),n9),sum(n7,n8)) != sum(sum(pred(n7),n8),n5)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f723,f195]) ).
fof(f725,plain,
( sum(sum(n6,n9),sum(n7,n8)) != sum(sum(n6,n8),n5)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f724,f184]) ).
fof(f726,plain,
( sum(n3,n5) != sum(sum(n6,n9),sum(n7,n8))
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f725,f106]) ).
fof(f727,plain,
( sum(n3,n5) != sum(sum(n6,n9),n4)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f726,f95]) ).
fof(f728,plain,
( sum(n3,n5) != sum(n4,n4)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f727,f105]) ).
fof(f729,plain,
( n8 != sum(n3,n5)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f728,f132]) ).
fof(f730,plain,
( $false
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f729,f142]) ).
fof(f731,plain,
( ~ spl2_8
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f737,plain,
( sum(sum(pred(n7),succ(n2)),sum(pred(n2),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n2),succ(n2)))
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f611,f259]) ).
fof(f738,plain,
( sum(sum(pred(n7),n3),sum(pred(n2),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n2),n3))
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f737,f200]) ).
fof(f739,plain,
( sum(sum(pred(n7),n3),sum(n1,succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(n1,n3))
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f738,f189]) ).
fof(f740,plain,
( sum(sum(pred(n7),n3),sum(n1,succ(n7))) != sum(sum(pred(n7),succ(n7)),n4)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f739,f166]) ).
fof(f741,plain,
( sum(sum(pred(n7),n3),sum(n1,n8)) != sum(sum(pred(n7),n8),n4)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f740,f195]) ).
fof(f742,plain,
( sum(sum(n6,n3),sum(n1,n8)) != sum(sum(n6,n8),n4)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f741,f184]) ).
fof(f743,plain,
( sum(n3,n4) != sum(sum(n6,n3),sum(n1,n8))
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f742,f106]) ).
fof(f744,plain,
( sum(n3,n4) != sum(sum(n6,n3),n9)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f743,f161]) ).
fof(f745,plain,
( sum(n3,n4) != sum(n9,n9)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f744,f111]) ).
fof(f746,plain,
( n7 != sum(n3,n4)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f745,f72]) ).
fof(f747,plain,
( $false
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f746,f143]) ).
fof(f748,plain,
( ~ spl2_8
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f758,plain,
( sum(sum(pred(n8),succ(sK1)),sum(pred(sK1),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(sK1),succ(sK1)))
| ~ spl2_9 ),
inference(superposition,[],[f59,f238]) ).
fof(f764,plain,
( sum(sum(pred(n8),succ(n5)),sum(pred(n5),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n5),succ(n5)))
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f758,f271]) ).
fof(f765,plain,
( sum(sum(pred(n8),n6),sum(pred(n5),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n5),n6))
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f764,f197]) ).
fof(f766,plain,
( sum(sum(pred(n8),n6),sum(n4,succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(n4,n6))
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f765,f186]) ).
fof(f767,plain,
( sum(sum(pred(n8),n6),sum(n4,succ(n8))) != sum(sum(pred(n8),succ(n8)),n10)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f766,f130]) ).
fof(f768,plain,
( sum(sum(pred(n8),n6),sum(n4,n9)) != sum(sum(pred(n8),n9),n10)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f767,f194]) ).
fof(f769,plain,
( sum(sum(n7,n6),sum(n4,n9)) != sum(sum(n7,n9),n10)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f768,f183]) ).
fof(f770,plain,
( sum(n5,n10) != sum(sum(n7,n6),sum(n4,n9))
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f769,f94]) ).
fof(f771,plain,
( sum(n5,n10) != sum(sum(n7,n6),n2)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f770,f127]) ).
fof(f772,plain,
( sum(n2,n2) != sum(n5,n10)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f771,f97]) ).
fof(f773,plain,
( n4 != sum(n2,n2)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f772,f115]) ).
fof(f774,plain,
( $false
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f773,f156]) ).
fof(f775,plain,
( ~ spl2_9
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f774]) ).
fof(f781,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_3 ),
inference(superposition,[],[f59,f214]) ).
fof(f786,plain,
( sum(sum(pred(n2),succ(n5)),sum(pred(n5),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n5),succ(n5)))
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f781,f271]) ).
fof(f787,plain,
( sum(sum(pred(n2),n6),sum(pred(n5),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n5),n6))
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f786,f197]) ).
fof(f788,plain,
( sum(sum(pred(n2),n6),sum(n4,succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(n4,n6))
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f787,f186]) ).
fof(f789,plain,
( sum(sum(pred(n2),n6),sum(n4,succ(n2))) != sum(sum(pred(n2),succ(n2)),n10)
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f788,f130]) ).
fof(f790,plain,
( sum(sum(pred(n2),n6),sum(n4,n3)) != sum(sum(pred(n2),n3),n10)
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f789,f200]) ).
fof(f791,plain,
( sum(sum(n1,n6),sum(n4,n3)) != sum(sum(n1,n3),n10)
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f790,f189]) ).
fof(f792,plain,
( sum(n4,n10) != sum(sum(n1,n6),sum(n4,n3))
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f791,f166]) ).
fof(f793,plain,
( sum(n4,n10) != sum(sum(n1,n6),n7)
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f792,f133]) ).
fof(f794,plain,
( sum(n4,n10) != sum(n7,n7)
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f793,f163]) ).
fof(f795,plain,
( n3 != sum(n4,n10)
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f794,f96]) ).
fof(f796,plain,
( $false
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f795,f126]) ).
fof(f797,plain,
( ~ spl2_3
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f803,plain,
( sum(sum(pred(n9),succ(sK1)),sum(pred(sK1),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(sK1),succ(sK1)))
| ~ spl2_10 ),
inference(superposition,[],[f59,f242]) ).
fof(f808,plain,
( sum(sum(pred(n9),succ(n5)),sum(pred(n5),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n5),succ(n5)))
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f803,f271]) ).
fof(f809,plain,
( sum(sum(pred(n9),n6),sum(pred(n5),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n5),n6))
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f808,f197]) ).
fof(f810,plain,
( sum(sum(pred(n9),n6),sum(n4,succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(n4,n6))
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f809,f186]) ).
fof(f811,plain,
( sum(sum(pred(n9),n6),sum(n4,succ(n9))) != sum(sum(pred(n9),succ(n9)),n10)
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f810,f130]) ).
fof(f812,plain,
( sum(sum(pred(n9),n6),sum(n4,n10)) != sum(sum(pred(n9),n10),n10)
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f811,f193]) ).
fof(f813,plain,
( sum(sum(n8,n6),sum(n4,n10)) != sum(sum(n8,n10),n10)
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f812,f182]) ).
fof(f814,plain,
( sum(n7,n10) != sum(sum(n8,n6),sum(n4,n10))
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f813,f82]) ).
fof(f815,plain,
( sum(n7,n10) != sum(sum(n8,n6),n3)
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f814,f126]) ).
fof(f816,plain,
( sum(n3,n3) != sum(n7,n10)
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f815,f86]) ).
fof(f817,plain,
( n6 != sum(n3,n3)
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f816,f93]) ).
fof(f818,plain,
( $false
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f817,f144]) ).
fof(f819,plain,
( ~ spl2_10
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f818]) ).
fof(f825,plain,
( sum(sum(pred(n6),succ(sK1)),sum(pred(sK1),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1),succ(sK1)))
| ~ spl2_7 ),
inference(superposition,[],[f59,f230]) ).
fof(f830,plain,
( sum(sum(pred(n6),succ(n5)),sum(pred(n5),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n5),succ(n5)))
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f825,f271]) ).
fof(f831,plain,
( sum(sum(pred(n6),n6),sum(pred(n5),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n5),n6))
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f830,f197]) ).
fof(f832,plain,
( sum(sum(pred(n6),n6),sum(n4,succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(n4,n6))
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f831,f186]) ).
fof(f833,plain,
( sum(sum(pred(n6),n6),sum(n4,succ(n6))) != sum(sum(pred(n6),succ(n6)),n10)
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f832,f130]) ).
fof(f834,plain,
( sum(sum(pred(n6),n6),sum(n4,n7)) != sum(sum(pred(n6),n7),n10)
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f833,f196]) ).
fof(f835,plain,
( sum(sum(n5,n6),sum(n4,n7)) != sum(sum(n5,n7),n10)
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f834,f185]) ).
fof(f836,plain,
( sum(n1,n10) != sum(sum(n5,n6),sum(n4,n7))
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f835,f118]) ).
fof(f837,plain,
( sum(n1,n10) != sum(sum(n5,n6),n0)
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f836,f129]) ).
fof(f838,plain,
( sum(n0,n0) != sum(n1,n10)
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f837,f119]) ).
fof(f839,plain,
( n0 != sum(n0,n0)
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f838,f159]) ).
fof(f840,plain,
( $false
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f839,f180]) ).
fof(f841,plain,
( ~ spl2_7
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f848,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1)))
| ~ spl2_1 ),
inference(superposition,[],[f59,f206]) ).
fof(f852,plain,
( sum(sum(pred(n0),succ(n5)),sum(pred(n5),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n5),succ(n5)))
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f848,f271]) ).
fof(f853,plain,
( sum(sum(pred(n0),n6),sum(pred(n5),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n5),n6))
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f852,f197]) ).
fof(f854,plain,
( sum(sum(pred(n0),n6),sum(n4,succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(n4,n6))
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f853,f186]) ).
fof(f855,plain,
( sum(sum(pred(n0),n6),sum(n4,succ(n0))) != sum(sum(pred(n0),succ(n0)),n10)
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f854,f130]) ).
fof(f856,plain,
( sum(sum(pred(n0),n6),sum(n4,n1)) != sum(sum(pred(n0),n1),n10)
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f855,f202]) ).
fof(f857,plain,
( sum(sum(n10,n6),sum(n4,n1)) != sum(sum(n10,n1),n10)
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f856,f191]) ).
fof(f858,plain,
( sum(n0,n10) != sum(sum(n10,n6),sum(n4,n1))
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f857,f69]) ).
fof(f859,plain,
( sum(n0,n10) != sum(sum(n10,n6),n5)
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f858,f135]) ).
fof(f860,plain,
( sum(n0,n10) != sum(n5,n5)
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f859,f64]) ).
fof(f861,plain,
( n10 != sum(n0,n10)
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f860,f120]) ).
fof(f862,plain,
( $false
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f861,f170]) ).
fof(f863,plain,
( ~ spl2_1
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f869,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1)))
| ~ spl2_6 ),
inference(superposition,[],[f59,f226]) ).
fof(f874,plain,
( sum(sum(pred(n5),succ(n5)),sum(pred(n5),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n5),succ(n5)))
| ~ spl2_6
| ~ spl2_17 ),
inference(forward_demodulation,[],[f869,f271]) ).
fof(f875,plain,
( $false
| ~ spl2_6
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f874]) ).
fof(f876,plain,
( ~ spl2_6
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f875]) ).
fof(f882,plain,
( sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1),succ(sK1)))
| ~ spl2_4 ),
inference(superposition,[],[f59,f218]) ).
fof(f887,plain,
( sum(sum(pred(n3),succ(n5)),sum(pred(n5),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n5),succ(n5)))
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f882,f271]) ).
fof(f888,plain,
( sum(sum(pred(n3),n6),sum(pred(n5),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n5),n6))
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f887,f197]) ).
fof(f889,plain,
( sum(sum(pred(n3),n6),sum(n4,succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(n4,n6))
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f888,f186]) ).
fof(f890,plain,
( sum(sum(pred(n3),n6),sum(n4,succ(n3))) != sum(sum(pred(n3),succ(n3)),n10)
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f889,f130]) ).
fof(f891,plain,
( sum(sum(pred(n3),n6),sum(n4,n4)) != sum(sum(pred(n3),n4),n10)
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f890,f199]) ).
fof(f892,plain,
( sum(sum(n2,n6),sum(n4,n4)) != sum(sum(n2,n4),n10)
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f891,f188]) ).
fof(f893,plain,
( sum(n6,n10) != sum(sum(n2,n6),sum(n4,n4))
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f892,f154]) ).
fof(f894,plain,
( sum(n6,n10) != sum(sum(n2,n6),n8)
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f893,f132]) ).
fof(f895,plain,
( sum(n6,n10) != sum(n8,n8)
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f894,f152]) ).
fof(f896,plain,
( n5 != sum(n6,n10)
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f895,f84]) ).
fof(f897,plain,
( $false
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f896,f104]) ).
fof(f898,plain,
( ~ spl2_4
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f904,plain,
( sum(sum(pred(n10),succ(sK1)),sum(pred(sK1),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(sK1),succ(sK1)))
| ~ spl2_11 ),
inference(superposition,[],[f59,f246]) ).
fof(f910,plain,
( sum(sum(pred(n10),succ(n5)),sum(pred(n5),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n5),succ(n5)))
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f904,f271]) ).
fof(f911,plain,
( sum(sum(pred(n10),n6),sum(pred(n5),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n5),n6))
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f910,f197]) ).
fof(f912,plain,
( sum(sum(pred(n10),n6),sum(n4,succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(n4,n6))
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f911,f186]) ).
fof(f913,plain,
( sum(sum(pred(n10),n6),sum(n4,succ(n10))) != sum(sum(pred(n10),succ(n10)),n10)
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f912,f130]) ).
fof(f914,plain,
( sum(sum(pred(n10),n6),sum(n4,n0)) != sum(sum(pred(n10),n0),n10)
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f913,f192]) ).
fof(f915,plain,
( sum(sum(n9,n6),sum(n4,n0)) != sum(sum(n9,n0),n10)
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f914,f181]) ).
fof(f916,plain,
( sum(n9,n10) != sum(sum(n9,n6),sum(n4,n0))
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f915,f81]) ).
fof(f917,plain,
( sum(n9,n10) != sum(sum(n9,n6),n4)
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f916,f136]) ).
fof(f918,plain,
( sum(n4,n4) != sum(n9,n10)
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f917,f75]) ).
fof(f919,plain,
( n8 != sum(n4,n4)
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f918,f71]) ).
fof(f920,plain,
( $false
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f919,f132]) ).
fof(f921,plain,
( ~ spl2_11
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f920]) ).
fof(f927,plain,
( sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1)))
| ~ spl2_5 ),
inference(superposition,[],[f59,f222]) ).
fof(f933,plain,
( sum(sum(pred(n4),succ(n5)),sum(pred(n5),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n5),succ(n5)))
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f927,f271]) ).
fof(f934,plain,
( sum(sum(pred(n4),n6),sum(pred(n5),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n5),n6))
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f933,f197]) ).
fof(f935,plain,
( sum(sum(pred(n4),n6),sum(n4,succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(n4,n6))
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f934,f186]) ).
fof(f936,plain,
( sum(sum(pred(n4),n6),sum(n4,succ(n4))) != sum(sum(pred(n4),succ(n4)),n10)
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f935,f130]) ).
fof(f937,plain,
( sum(sum(pred(n4),n6),sum(n4,n5)) != sum(sum(pred(n4),n5),n10)
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f936,f198]) ).
fof(f938,plain,
( sum(sum(n3,n6),sum(n4,n5)) != sum(sum(n3,n5),n10)
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f937,f187]) ).
fof(f939,plain,
( sum(n8,n10) != sum(sum(n3,n6),sum(n4,n5))
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f938,f142]) ).
fof(f940,plain,
( sum(n8,n10) != sum(sum(n3,n6),n9)
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f939,f131]) ).
fof(f941,plain,
( sum(n8,n10) != sum(n9,n9)
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f940,f141]) ).
fof(f942,plain,
( n7 != sum(n8,n10)
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f941,f72]) ).
fof(f943,plain,
( $false
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f942,f82]) ).
fof(f944,plain,
( ~ spl2_5
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f953,plain,
( sum(sum(pred(n8),succ(sK1)),sum(pred(sK1),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(sK1),succ(sK1)))
| ~ spl2_9 ),
inference(superposition,[],[f59,f238]) ).
fof(f959,plain,
( sum(sum(pred(n8),succ(n6)),sum(pred(n6),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n6),succ(n6)))
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f953,f275]) ).
fof(f960,plain,
( sum(sum(pred(n8),n7),sum(pred(n6),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n6),n7))
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f959,f196]) ).
fof(f961,plain,
( sum(sum(pred(n8),n7),sum(n5,succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(n5,n7))
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f960,f185]) ).
fof(f962,plain,
( sum(sum(pred(n8),n7),sum(n5,succ(n8))) != sum(sum(pred(n8),succ(n8)),n1)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f961,f118]) ).
fof(f963,plain,
( sum(sum(pred(n8),n7),sum(n5,n9)) != sum(sum(pred(n8),n9),n1)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f962,f194]) ).
fof(f964,plain,
( sum(sum(n7,n7),sum(n5,n9)) != sum(sum(n7,n9),n1)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f963,f183]) ).
fof(f965,plain,
( sum(n5,n1) != sum(sum(n7,n7),sum(n5,n9))
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f964,f94]) ).
fof(f966,plain,
( sum(n5,n1) != sum(sum(n7,n7),n3)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f965,f116]) ).
fof(f967,plain,
( sum(n3,n3) != sum(n5,n1)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f966,f96]) ).
fof(f968,plain,
( n6 != sum(n3,n3)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f967,f124]) ).
fof(f969,plain,
( $false
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f968,f144]) ).
fof(f970,plain,
( ~ spl2_9
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f974,plain,
( sum(sum(pred(n8),succ(n10)),sum(pred(n10),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n10),succ(n10)))
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f953,f291]) ).
fof(f975,plain,
( sum(sum(pred(n8),n0),sum(pred(n10),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n10),n0))
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f974,f192]) ).
fof(f976,plain,
( sum(sum(pred(n8),n0),sum(n9,succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(n9,n0))
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f975,f181]) ).
fof(f977,plain,
( sum(sum(pred(n8),n0),sum(n9,succ(n8))) != sum(sum(pred(n8),succ(n8)),n9)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f976,f81]) ).
fof(f978,plain,
( sum(sum(pred(n8),n0),sum(n9,n9)) != sum(sum(pred(n8),n9),n9)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f977,f194]) ).
fof(f979,plain,
( sum(sum(n7,n0),sum(n9,n9)) != sum(sum(n7,n9),n9)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f978,f183]) ).
fof(f980,plain,
( sum(n5,n9) != sum(sum(n7,n0),sum(n9,n9))
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f979,f94]) ).
fof(f981,plain,
( sum(n5,n9) != sum(sum(n7,n0),n7)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f980,f72]) ).
fof(f982,plain,
( sum(n5,n9) != sum(n7,n7)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f981,f103]) ).
fof(f983,plain,
( n3 != sum(n5,n9)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f982,f96]) ).
fof(f984,plain,
( $false
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f983,f116]) ).
fof(f985,plain,
( ~ spl2_9
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f984]) ).
fof(f989,plain,
( sum(sum(pred(n8),succ(n7)),sum(pred(n7),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n7),succ(n7)))
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f953,f279]) ).
fof(f990,plain,
( sum(sum(pred(n8),n8),sum(pred(n7),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n7),n8))
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f989,f195]) ).
fof(f991,plain,
( sum(sum(pred(n8),n8),sum(n6,succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(n6,n8))
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f990,f184]) ).
fof(f992,plain,
( sum(sum(pred(n8),n8),sum(n6,succ(n8))) != sum(sum(pred(n8),succ(n8)),n3)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f991,f106]) ).
fof(f993,plain,
( sum(sum(pred(n8),n8),sum(n6,n9)) != sum(sum(pred(n8),n9),n3)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f992,f194]) ).
fof(f994,plain,
( sum(sum(n7,n8),sum(n6,n9)) != sum(sum(n7,n9),n3)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f993,f183]) ).
fof(f995,plain,
( sum(n5,n3) != sum(sum(n7,n8),sum(n6,n9))
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f994,f94]) ).
fof(f996,plain,
( sum(n5,n3) != sum(sum(n7,n8),n4)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f995,f105]) ).
fof(f997,plain,
( sum(n4,n4) != sum(n5,n3)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f996,f95]) ).
fof(f998,plain,
( n8 != sum(n4,n4)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f997,f122]) ).
fof(f999,plain,
( $false
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f998,f132]) ).
fof(f1000,plain,
( ~ spl2_9
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f999]) ).
fof(f1005,plain,
( sum(sum(pred(n8),succ(n2)),sum(pred(n2),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n2),succ(n2)))
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f953,f259]) ).
fof(f1006,plain,
( sum(sum(pred(n8),n3),sum(pred(n2),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n2),n3))
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1005,f200]) ).
fof(f1007,plain,
( sum(sum(pred(n8),n3),sum(n1,succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(n1,n3))
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1006,f189]) ).
fof(f1008,plain,
( sum(sum(pred(n8),n3),sum(n1,succ(n8))) != sum(sum(pred(n8),succ(n8)),n4)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1007,f166]) ).
fof(f1009,plain,
( sum(sum(pred(n8),n3),sum(n1,n9)) != sum(sum(pred(n8),n9),n4)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1008,f194]) ).
fof(f1010,plain,
( sum(sum(n7,n3),sum(n1,n9)) != sum(sum(n7,n9),n4)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1009,f183]) ).
fof(f1011,plain,
( sum(n5,n4) != sum(sum(n7,n3),sum(n1,n9))
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1010,f94]) ).
fof(f1012,plain,
( sum(n5,n4) != sum(sum(n7,n3),n10)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1011,f160]) ).
fof(f1013,plain,
( sum(n5,n4) != sum(n10,n10)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1012,f100]) ).
fof(f1014,plain,
( n9 != sum(n5,n4)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1013,f60]) ).
fof(f1015,plain,
( $false
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f1014,f121]) ).
fof(f1016,plain,
( ~ spl2_9
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1022,plain,
( sum(sum(pred(n8),succ(n0)),sum(pred(n0),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n0),succ(n0)))
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f953,f251]) ).
fof(f1023,plain,
( sum(sum(pred(n8),n1),sum(pred(n0),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n0),n1))
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1022,f202]) ).
fof(f1024,plain,
( sum(sum(pred(n8),n1),sum(n10,succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(n10,n1))
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1023,f191]) ).
fof(f1025,plain,
( sum(sum(pred(n8),n1),sum(n10,succ(n8))) != sum(sum(pred(n8),succ(n8)),n0)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1024,f69]) ).
fof(f1026,plain,
( sum(sum(pred(n8),n1),sum(n10,n9)) != sum(sum(pred(n8),n9),n0)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1025,f194]) ).
fof(f1027,plain,
( sum(sum(n7,n1),sum(n10,n9)) != sum(sum(n7,n9),n0)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1026,f183]) ).
fof(f1028,plain,
( sum(n5,n0) != sum(sum(n7,n1),sum(n10,n9))
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1027,f94]) ).
fof(f1029,plain,
( sum(n5,n0) != sum(sum(n7,n1),n8)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1028,f61]) ).
fof(f1030,plain,
( sum(n5,n0) != sum(n8,n8)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1029,f102]) ).
fof(f1031,plain,
( n5 != sum(n5,n0)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1030,f84]) ).
fof(f1032,plain,
( $false
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1031,f125]) ).
fof(f1033,plain,
( ~ spl2_9
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1032]) ).
fof(f1039,plain,
( sum(sum(pred(n8),succ(n1)),sum(pred(n1),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n1),succ(n1)))
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f953,f255]) ).
fof(f1040,plain,
( sum(sum(pred(n8),n2),sum(pred(n1),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n1),n2))
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1039,f201]) ).
fof(f1041,plain,
( sum(sum(pred(n8),n2),sum(n0,succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(n0,n2))
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1040,f190]) ).
fof(f1042,plain,
( sum(sum(pred(n8),n2),sum(n0,succ(n8))) != sum(sum(pred(n8),succ(n8)),n2)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1041,f178]) ).
fof(f1043,plain,
( sum(sum(pred(n8),n2),sum(n0,n9)) != sum(sum(pred(n8),n9),n2)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1042,f194]) ).
fof(f1044,plain,
( sum(sum(n7,n2),sum(n0,n9)) != sum(sum(n7,n9),n2)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1043,f183]) ).
fof(f1045,plain,
( sum(n5,n2) != sum(sum(n7,n2),sum(n0,n9))
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1044,f94]) ).
fof(f1046,plain,
( sum(n5,n2) != sum(sum(n7,n2),n9)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1045,f171]) ).
fof(f1047,plain,
( sum(n5,n2) != sum(n9,n9)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1046,f101]) ).
fof(f1048,plain,
( n7 != sum(n5,n2)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1047,f72]) ).
fof(f1049,plain,
( $false
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f1048,f123]) ).
fof(f1050,plain,
( ~ spl2_9
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f1049]) ).
fof(f1055,plain,
( sum(sum(pred(n8),succ(n8)),sum(pred(n8),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n8),succ(n8)))
| ~ spl2_9
| ~ spl2_20 ),
inference(forward_demodulation,[],[f953,f283]) ).
fof(f1056,plain,
( $false
| ~ spl2_9
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f1055]) ).
fof(f1057,plain,
( ~ spl2_9
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1063,plain,
( sum(sum(pred(n8),succ(n4)),sum(pred(n4),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n4),succ(n4)))
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f953,f267]) ).
fof(f1064,plain,
( sum(sum(pred(n8),n5),sum(pred(n4),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n4),n5))
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1063,f198]) ).
fof(f1065,plain,
( sum(sum(pred(n8),n5),sum(n3,succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(n3,n5))
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1064,f187]) ).
fof(f1066,plain,
( sum(sum(pred(n8),n5),sum(n3,succ(n8))) != sum(sum(pred(n8),succ(n8)),n8)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1065,f142]) ).
fof(f1067,plain,
( sum(sum(pred(n8),n5),sum(n3,n9)) != sum(sum(pred(n8),n9),n8)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1066,f194]) ).
fof(f1068,plain,
( sum(sum(n7,n5),sum(n3,n9)) != sum(sum(n7,n9),n8)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1067,f183]) ).
fof(f1069,plain,
( sum(n5,n8) != sum(sum(n7,n5),sum(n3,n9))
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1068,f94]) ).
fof(f1070,plain,
( sum(n5,n8) != sum(sum(n7,n5),n1)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1069,f138]) ).
fof(f1071,plain,
( sum(n1,n1) != sum(n5,n8)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1070,f98]) ).
fof(f1072,plain,
( n2 != sum(n1,n1)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1071,f117]) ).
fof(f1073,plain,
( $false
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f1072,f168]) ).
fof(f1074,plain,
( ~ spl2_9
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
fof(f1079,plain,
( sum(sum(pred(n8),succ(n9)),sum(pred(n9),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n9),succ(n9)))
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f953,f287]) ).
fof(f1080,plain,
( sum(sum(pred(n8),n10),sum(pred(n9),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(n9),n10))
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1079,f193]) ).
fof(f1081,plain,
( sum(sum(pred(n8),n10),sum(n8,succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(n8,n10))
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1080,f182]) ).
fof(f1082,plain,
( sum(sum(pred(n8),n10),sum(n8,succ(n8))) != sum(sum(pred(n8),succ(n8)),n7)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1081,f82]) ).
fof(f1083,plain,
( sum(sum(pred(n8),n10),sum(n8,n9)) != sum(sum(pred(n8),n9),n7)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1082,f194]) ).
fof(f1084,plain,
( sum(sum(n7,n10),sum(n8,n9)) != sum(sum(n7,n9),n7)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1083,f183]) ).
fof(f1085,plain,
( sum(n5,n7) != sum(sum(n7,n10),sum(n8,n9))
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1084,f94]) ).
fof(f1086,plain,
( sum(n5,n7) != sum(sum(n7,n10),n6)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1085,f83]) ).
fof(f1087,plain,
( sum(n5,n7) != sum(n6,n6)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1086,f93]) ).
fof(f1088,plain,
( n1 != sum(n5,n7)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1087,f108]) ).
fof(f1089,plain,
( $false
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1088,f118]) ).
fof(f1090,plain,
( ~ spl2_9
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1089]) ).
fof(f1099,plain,
( sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1),succ(sK1)))
| ~ spl2_4 ),
inference(superposition,[],[f59,f218]) ).
fof(f1104,plain,
( sum(sum(pred(n3),succ(n7)),sum(pred(n7),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n7),succ(n7)))
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1099,f279]) ).
fof(f1105,plain,
( sum(sum(pred(n3),n8),sum(pred(n7),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n7),n8))
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1104,f195]) ).
fof(f1106,plain,
( sum(sum(pred(n3),n8),sum(n6,succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(n6,n8))
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1105,f184]) ).
fof(f1107,plain,
( sum(sum(pred(n3),n8),sum(n6,succ(n3))) != sum(sum(pred(n3),succ(n3)),n3)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1106,f106]) ).
fof(f1108,plain,
( sum(sum(pred(n3),n8),sum(n6,n4)) != sum(sum(pred(n3),n4),n3)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1107,f199]) ).
fof(f1109,plain,
( sum(sum(n2,n8),sum(n6,n4)) != sum(sum(n2,n4),n3)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1108,f188]) ).
fof(f1110,plain,
( sum(n6,n3) != sum(sum(n2,n8),sum(n6,n4))
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1109,f154]) ).
fof(f1111,plain,
( sum(n6,n3) != sum(sum(n2,n8),n10)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1110,f110]) ).
fof(f1112,plain,
( sum(n6,n3) != sum(n10,n10)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1111,f150]) ).
fof(f1113,plain,
( n9 != sum(n6,n3)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1112,f60]) ).
fof(f1114,plain,
( $false
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1113,f111]) ).
fof(f1115,plain,
( ~ spl2_4
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1114]) ).
fof(f1121,plain,
( sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1)))
| ~ spl2_5 ),
inference(superposition,[],[f59,f222]) ).
fof(f1127,plain,
( sum(sum(pred(n4),succ(n7)),sum(pred(n7),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n7),succ(n7)))
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1121,f279]) ).
fof(f1128,plain,
( sum(sum(pred(n4),n8),sum(pred(n7),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n7),n8))
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1127,f195]) ).
fof(f1129,plain,
( sum(sum(pred(n4),n8),sum(n6,succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(n6,n8))
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1128,f184]) ).
fof(f1130,plain,
( sum(sum(pred(n4),n8),sum(n6,succ(n4))) != sum(sum(pred(n4),succ(n4)),n3)
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1129,f106]) ).
fof(f1131,plain,
( sum(sum(pred(n4),n8),sum(n6,n5)) != sum(sum(pred(n4),n5),n3)
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1130,f198]) ).
fof(f1132,plain,
( sum(sum(n3,n8),sum(n6,n5)) != sum(sum(n3,n5),n3)
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1131,f187]) ).
fof(f1133,plain,
( sum(n8,n3) != sum(sum(n3,n8),sum(n6,n5))
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1132,f142]) ).
fof(f1134,plain,
( sum(n8,n3) != sum(sum(n3,n8),n0)
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1133,f109]) ).
fof(f1135,plain,
( sum(n0,n0) != sum(n8,n3)
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1134,f139]) ).
fof(f1136,plain,
( n0 != sum(n0,n0)
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1135,f89]) ).
fof(f1137,plain,
( $false
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1136,f180]) ).
fof(f1138,plain,
( ~ spl2_5
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1137]) ).
fof(f1145,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1)))
| ~ spl2_1 ),
inference(superposition,[],[f59,f206]) ).
fof(f1150,plain,
( sum(sum(pred(n0),succ(n7)),sum(pred(n7),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n7),succ(n7)))
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1145,f279]) ).
fof(f1151,plain,
( sum(sum(pred(n0),n8),sum(pred(n7),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n7),n8))
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1150,f195]) ).
fof(f1152,plain,
( sum(sum(pred(n0),n8),sum(n6,succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(n6,n8))
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1151,f184]) ).
fof(f1153,plain,
( sum(sum(pred(n0),n8),sum(n6,succ(n0))) != sum(sum(pred(n0),succ(n0)),n3)
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1152,f106]) ).
fof(f1154,plain,
( sum(sum(pred(n0),n8),sum(n6,n1)) != sum(sum(pred(n0),n1),n3)
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1153,f202]) ).
fof(f1155,plain,
( sum(sum(n10,n8),sum(n6,n1)) != sum(sum(n10,n1),n3)
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1154,f191]) ).
fof(f1156,plain,
( sum(n0,n3) != sum(sum(n10,n8),sum(n6,n1))
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1155,f69]) ).
fof(f1157,plain,
( sum(n0,n3) != sum(sum(n10,n8),n7)
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1156,f113]) ).
fof(f1158,plain,
( sum(n0,n3) != sum(n7,n7)
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1157,f62]) ).
fof(f1159,plain,
( n3 != sum(n0,n3)
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1158,f96]) ).
fof(f1160,plain,
( $false
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1159,f177]) ).
fof(f1161,plain,
( ~ spl2_1
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1167,plain,
( sum(sum(pred(n6),succ(sK1)),sum(pred(sK1),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1),succ(sK1)))
| ~ spl2_7 ),
inference(superposition,[],[f59,f230]) ).
fof(f1173,plain,
( sum(sum(pred(n6),succ(n7)),sum(pred(n7),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n7),succ(n7)))
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1167,f279]) ).
fof(f1174,plain,
( sum(sum(pred(n6),n8),sum(pred(n7),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n7),n8))
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1173,f195]) ).
fof(f1175,plain,
( sum(sum(pred(n6),n8),sum(n6,succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(n6,n8))
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1174,f184]) ).
fof(f1176,plain,
( sum(sum(pred(n6),n8),sum(n6,succ(n6))) != sum(sum(pred(n6),succ(n6)),n3)
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1175,f106]) ).
fof(f1177,plain,
( sum(sum(pred(n6),n8),sum(n6,n7)) != sum(sum(pred(n6),n7),n3)
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1176,f196]) ).
fof(f1178,plain,
( sum(sum(n5,n8),sum(n6,n7)) != sum(sum(n5,n7),n3)
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1177,f185]) ).
fof(f1179,plain,
( sum(n1,n3) != sum(sum(n5,n8),sum(n6,n7))
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1178,f118]) ).
fof(f1180,plain,
( sum(n1,n3) != sum(sum(n5,n8),n2)
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1179,f107]) ).
fof(f1181,plain,
( sum(n1,n3) != sum(n2,n2)
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1180,f117]) ).
fof(f1182,plain,
( n4 != sum(n1,n3)
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1181,f156]) ).
fof(f1183,plain,
( $false
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1182,f166]) ).
fof(f1184,plain,
( ~ spl2_7
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1191,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_3 ),
inference(superposition,[],[f59,f214]) ).
fof(f1196,plain,
( sum(sum(pred(n2),succ(n7)),sum(pred(n7),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n7),succ(n7)))
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1191,f279]) ).
fof(f1197,plain,
( sum(sum(pred(n2),n8),sum(pred(n7),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n7),n8))
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1196,f195]) ).
fof(f1198,plain,
( sum(sum(pred(n2),n8),sum(n6,succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(n6,n8))
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1197,f184]) ).
fof(f1199,plain,
( sum(sum(pred(n2),n8),sum(n6,succ(n2))) != sum(sum(pred(n2),succ(n2)),n3)
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1198,f106]) ).
fof(f1200,plain,
( sum(sum(pred(n2),n8),sum(n6,n3)) != sum(sum(pred(n2),n3),n3)
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1199,f200]) ).
fof(f1201,plain,
( sum(sum(n1,n8),sum(n6,n3)) != sum(sum(n1,n3),n3)
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1200,f189]) ).
fof(f1202,plain,
( sum(n4,n3) != sum(sum(n1,n8),sum(n6,n3))
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1201,f166]) ).
fof(f1203,plain,
( sum(n4,n3) != sum(sum(n1,n8),n9)
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1202,f111]) ).
fof(f1204,plain,
( sum(n4,n3) != sum(n9,n9)
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1203,f161]) ).
fof(f1205,plain,
( n7 != sum(n4,n3)
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1204,f72]) ).
fof(f1206,plain,
( $false
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1205,f133]) ).
fof(f1207,plain,
( ~ spl2_3
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1213,plain,
( sum(sum(pred(n10),succ(sK1)),sum(pred(sK1),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(sK1),succ(sK1)))
| ~ spl2_11 ),
inference(superposition,[],[f59,f246]) ).
fof(f1219,plain,
( sum(sum(pred(n10),succ(n7)),sum(pred(n7),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n7),succ(n7)))
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1213,f279]) ).
fof(f1220,plain,
( sum(sum(pred(n10),n8),sum(pred(n7),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n7),n8))
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1219,f195]) ).
fof(f1221,plain,
( sum(sum(pred(n10),n8),sum(n6,succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(n6,n8))
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1220,f184]) ).
fof(f1222,plain,
( sum(sum(pred(n10),n8),sum(n6,succ(n10))) != sum(sum(pred(n10),succ(n10)),n3)
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1221,f106]) ).
fof(f1223,plain,
( sum(sum(pred(n10),n8),sum(n6,n0)) != sum(sum(pred(n10),n0),n3)
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1222,f192]) ).
fof(f1224,plain,
( sum(sum(n9,n8),sum(n6,n0)) != sum(sum(n9,n0),n3)
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1223,f181]) ).
fof(f1225,plain,
( sum(n9,n3) != sum(sum(n9,n8),sum(n6,n0))
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1224,f81]) ).
fof(f1226,plain,
( sum(n9,n3) != sum(sum(n9,n8),n6)
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1225,f114]) ).
fof(f1227,plain,
( sum(n6,n6) != sum(n9,n3)
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1226,f73]) ).
fof(f1228,plain,
( n1 != sum(n6,n6)
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1227,f78]) ).
fof(f1229,plain,
( $false
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1228,f108]) ).
fof(f1230,plain,
( ~ spl2_11
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1229]) ).
fof(f1236,plain,
( sum(sum(pred(n9),succ(sK1)),sum(pred(sK1),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(sK1),succ(sK1)))
| ~ spl2_10 ),
inference(superposition,[],[f59,f242]) ).
fof(f1242,plain,
( sum(sum(pred(n9),succ(n7)),sum(pred(n7),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n7),succ(n7)))
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1236,f279]) ).
fof(f1243,plain,
( sum(sum(pred(n9),n8),sum(pred(n7),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n7),n8))
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1242,f195]) ).
fof(f1244,plain,
( sum(sum(pred(n9),n8),sum(n6,succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(n6,n8))
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1243,f184]) ).
fof(f1245,plain,
( sum(sum(pred(n9),n8),sum(n6,succ(n9))) != sum(sum(pred(n9),succ(n9)),n3)
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1244,f106]) ).
fof(f1246,plain,
( sum(sum(pred(n9),n8),sum(n6,n10)) != sum(sum(pred(n9),n10),n3)
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1245,f193]) ).
fof(f1247,plain,
( sum(sum(n8,n8),sum(n6,n10)) != sum(sum(n8,n10),n3)
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1246,f182]) ).
fof(f1248,plain,
( sum(n7,n3) != sum(sum(n8,n8),sum(n6,n10))
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1247,f82]) ).
fof(f1249,plain,
( sum(n7,n3) != sum(sum(n8,n8),n5)
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1248,f104]) ).
fof(f1250,plain,
( sum(n5,n5) != sum(n7,n3)
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1249,f84]) ).
fof(f1251,plain,
( n10 != sum(n5,n5)
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1250,f100]) ).
fof(f1252,plain,
( $false
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1251,f120]) ).
fof(f1253,plain,
( ~ spl2_10
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1259,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1)))
| ~ spl2_6 ),
inference(superposition,[],[f59,f226]) ).
fof(f1265,plain,
( sum(sum(pred(n5),succ(n7)),sum(pred(n7),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n7),succ(n7)))
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1259,f279]) ).
fof(f1266,plain,
( sum(sum(pred(n5),n8),sum(pred(n7),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n7),n8))
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1265,f195]) ).
fof(f1267,plain,
( sum(sum(pred(n5),n8),sum(n6,succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(n6,n8))
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1266,f184]) ).
fof(f1268,plain,
( sum(sum(pred(n5),n8),sum(n6,succ(n5))) != sum(sum(pred(n5),succ(n5)),n3)
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1267,f106]) ).
fof(f1269,plain,
( sum(sum(pred(n5),n8),sum(n6,n6)) != sum(sum(pred(n5),n6),n3)
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1268,f197]) ).
fof(f1270,plain,
( sum(sum(n4,n8),sum(n6,n6)) != sum(sum(n4,n6),n3)
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1269,f186]) ).
fof(f1271,plain,
( sum(n10,n3) != sum(sum(n4,n8),sum(n6,n6))
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1270,f130]) ).
fof(f1272,plain,
( sum(n10,n3) != sum(sum(n4,n8),n1)
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1271,f108]) ).
fof(f1273,plain,
( sum(n1,n1) != sum(n10,n3)
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1272,f128]) ).
fof(f1274,plain,
( n2 != sum(n1,n1)
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1273,f67]) ).
fof(f1275,plain,
( $false
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1274,f168]) ).
fof(f1276,plain,
( ~ spl2_6
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1275]) ).
fof(f1285,plain,
( sum(sum(pred(n9),succ(sK1)),sum(pred(sK1),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(sK1),succ(sK1)))
| ~ spl2_10 ),
inference(superposition,[],[f59,f242]) ).
fof(f1291,plain,
( sum(sum(pred(n9),succ(n6)),sum(pred(n6),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n6),succ(n6)))
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1285,f275]) ).
fof(f1292,plain,
( sum(sum(pred(n9),n7),sum(pred(n6),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n6),n7))
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1291,f196]) ).
fof(f1293,plain,
( sum(sum(pred(n9),n7),sum(n5,succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(n5,n7))
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1292,f185]) ).
fof(f1294,plain,
( sum(sum(pred(n9),n7),sum(n5,succ(n9))) != sum(sum(pred(n9),succ(n9)),n1)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1293,f118]) ).
fof(f1295,plain,
( sum(sum(pred(n9),n7),sum(n5,n10)) != sum(sum(pred(n9),n10),n1)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1294,f193]) ).
fof(f1296,plain,
( sum(sum(n8,n7),sum(n5,n10)) != sum(sum(n8,n10),n1)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1295,f182]) ).
fof(f1297,plain,
( sum(n7,n1) != sum(sum(n8,n7),sum(n5,n10))
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1296,f82]) ).
fof(f1298,plain,
( sum(n7,n1) != sum(sum(n8,n7),n4)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1297,f115]) ).
fof(f1299,plain,
( sum(n4,n4) != sum(n7,n1)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1298,f85]) ).
fof(f1300,plain,
( n8 != sum(n4,n4)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1299,f102]) ).
fof(f1301,plain,
( $false
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f1300,f132]) ).
fof(f1302,plain,
( ~ spl2_10
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f1301]) ).
fof(f1307,plain,
( sum(sum(pred(n9),succ(n9)),sum(pred(n9),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n9),succ(n9)))
| ~ spl2_10
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1285,f287]) ).
fof(f1308,plain,
( $false
| ~ spl2_10
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f1307]) ).
fof(f1309,plain,
( ~ spl2_10
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
fof(f1315,plain,
( sum(sum(pred(n9),succ(n0)),sum(pred(n0),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n0),succ(n0)))
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1285,f251]) ).
fof(f1316,plain,
( sum(sum(pred(n9),n1),sum(pred(n0),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n0),n1))
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1315,f202]) ).
fof(f1317,plain,
( sum(sum(pred(n9),n1),sum(n10,succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(n10,n1))
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1316,f191]) ).
fof(f1318,plain,
( sum(sum(pred(n9),n1),sum(n10,succ(n9))) != sum(sum(pred(n9),succ(n9)),n0)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1317,f69]) ).
fof(f1319,plain,
( sum(sum(pred(n9),n1),sum(n10,n10)) != sum(sum(pred(n9),n10),n0)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1318,f193]) ).
fof(f1320,plain,
( sum(sum(n8,n1),sum(n10,n10)) != sum(sum(n8,n10),n0)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1319,f182]) ).
fof(f1321,plain,
( sum(n7,n0) != sum(sum(n8,n1),sum(n10,n10))
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1320,f82]) ).
fof(f1322,plain,
( sum(n7,n0) != sum(sum(n8,n1),n9)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1321,f60]) ).
fof(f1323,plain,
( sum(n7,n0) != sum(n9,n9)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1322,f91]) ).
fof(f1324,plain,
( n7 != sum(n7,n0)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1323,f72]) ).
fof(f1325,plain,
( $false
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1324,f103]) ).
fof(f1326,plain,
( ~ spl2_10
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1325]) ).
fof(f1332,plain,
( sum(sum(pred(n9),succ(n1)),sum(pred(n1),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n1),succ(n1)))
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1285,f255]) ).
fof(f1333,plain,
( sum(sum(pred(n9),n2),sum(pred(n1),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n1),n2))
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1332,f201]) ).
fof(f1334,plain,
( sum(sum(pred(n9),n2),sum(n0,succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(n0,n2))
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1333,f190]) ).
fof(f1335,plain,
( sum(sum(pred(n9),n2),sum(n0,succ(n9))) != sum(sum(pred(n9),succ(n9)),n2)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1334,f178]) ).
fof(f1336,plain,
( sum(sum(pred(n9),n2),sum(n0,n10)) != sum(sum(pred(n9),n10),n2)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1335,f193]) ).
fof(f1337,plain,
( sum(sum(n8,n2),sum(n0,n10)) != sum(sum(n8,n10),n2)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1336,f182]) ).
fof(f1338,plain,
( sum(n7,n2) != sum(sum(n8,n2),sum(n0,n10))
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1337,f82]) ).
fof(f1339,plain,
( sum(n7,n2) != sum(sum(n8,n2),n10)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1338,f170]) ).
fof(f1340,plain,
( sum(n7,n2) != sum(n10,n10)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1339,f90]) ).
fof(f1341,plain,
( n9 != sum(n7,n2)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1340,f60]) ).
fof(f1342,plain,
( $false
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f1341,f101]) ).
fof(f1343,plain,
( ~ spl2_10
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1348,plain,
( sum(sum(pred(n9),succ(n2)),sum(pred(n2),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n2),succ(n2)))
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1285,f259]) ).
fof(f1349,plain,
( sum(sum(pred(n9),n3),sum(pred(n2),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n2),n3))
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1348,f200]) ).
fof(f1350,plain,
( sum(sum(pred(n9),n3),sum(n1,succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(n1,n3))
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1349,f189]) ).
fof(f1351,plain,
( sum(sum(pred(n9),n3),sum(n1,succ(n9))) != sum(sum(pred(n9),succ(n9)),n4)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1350,f166]) ).
fof(f1352,plain,
( sum(sum(pred(n9),n3),sum(n1,n10)) != sum(sum(pred(n9),n10),n4)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1351,f193]) ).
fof(f1353,plain,
( sum(sum(n8,n3),sum(n1,n10)) != sum(sum(n8,n10),n4)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1352,f182]) ).
fof(f1354,plain,
( sum(n7,n4) != sum(sum(n8,n3),sum(n1,n10))
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1353,f82]) ).
fof(f1355,plain,
( sum(n7,n4) != sum(sum(n8,n3),n0)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1354,f159]) ).
fof(f1356,plain,
( sum(n0,n0) != sum(n7,n4)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1355,f89]) ).
fof(f1357,plain,
( n0 != sum(n0,n0)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1356,f99]) ).
fof(f1358,plain,
( $false
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f1357,f180]) ).
fof(f1359,plain,
( ~ spl2_10
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f1363,plain,
( sum(sum(pred(n9),succ(n10)),sum(pred(n10),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n10),succ(n10)))
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1285,f291]) ).
fof(f1364,plain,
( sum(sum(pred(n9),n0),sum(pred(n10),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n10),n0))
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1363,f192]) ).
fof(f1365,plain,
( sum(sum(pred(n9),n0),sum(n9,succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(n9,n0))
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1364,f181]) ).
fof(f1366,plain,
( sum(sum(pred(n9),n0),sum(n9,succ(n9))) != sum(sum(pred(n9),succ(n9)),n9)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1365,f81]) ).
fof(f1367,plain,
( sum(sum(pred(n9),n0),sum(n9,n10)) != sum(sum(pred(n9),n10),n9)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1366,f193]) ).
fof(f1368,plain,
( sum(sum(n8,n0),sum(n9,n10)) != sum(sum(n8,n10),n9)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1367,f182]) ).
fof(f1369,plain,
( sum(n7,n9) != sum(sum(n8,n0),sum(n9,n10))
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1368,f82]) ).
fof(f1370,plain,
( sum(n7,n9) != sum(sum(n8,n0),n8)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1369,f71]) ).
fof(f1371,plain,
( sum(n7,n9) != sum(n8,n8)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1370,f92]) ).
fof(f1372,plain,
( n5 != sum(n7,n9)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1371,f84]) ).
fof(f1373,plain,
( $false
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f1372,f94]) ).
fof(f1374,plain,
( ~ spl2_10
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f1373]) ).
fof(f1378,plain,
( sum(sum(pred(n9),succ(n8)),sum(pred(n8),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n8),succ(n8)))
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1285,f283]) ).
fof(f1379,plain,
( sum(sum(pred(n9),n9),sum(pred(n8),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n8),n9))
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1378,f194]) ).
fof(f1380,plain,
( sum(sum(pred(n9),n9),sum(n7,succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(n7,n9))
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1379,f183]) ).
fof(f1381,plain,
( sum(sum(pred(n9),n9),sum(n7,succ(n9))) != sum(sum(pred(n9),succ(n9)),n5)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1380,f94]) ).
fof(f1382,plain,
( sum(sum(pred(n9),n9),sum(n7,n10)) != sum(sum(pred(n9),n10),n5)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1381,f193]) ).
fof(f1383,plain,
( sum(sum(n8,n9),sum(n7,n10)) != sum(sum(n8,n10),n5)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1382,f182]) ).
fof(f1384,plain,
( sum(n7,n5) != sum(sum(n8,n9),sum(n7,n10))
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1383,f82]) ).
fof(f1385,plain,
( sum(n7,n5) != sum(sum(n8,n9),n6)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1384,f93]) ).
fof(f1386,plain,
( sum(n6,n6) != sum(n7,n5)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1385,f83]) ).
fof(f1387,plain,
( n1 != sum(n6,n6)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1386,f98]) ).
fof(f1388,plain,
( $false
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f1387,f108]) ).
fof(f1389,plain,
( ~ spl2_10
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1394,plain,
( sum(sum(pred(n9),succ(n4)),sum(pred(n4),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n4),succ(n4)))
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1285,f267]) ).
fof(f1395,plain,
( sum(sum(pred(n9),n5),sum(pred(n4),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(n4),n5))
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1394,f198]) ).
fof(f1396,plain,
( sum(sum(pred(n9),n5),sum(n3,succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(n3,n5))
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1395,f187]) ).
fof(f1397,plain,
( sum(sum(pred(n9),n5),sum(n3,succ(n9))) != sum(sum(pred(n9),succ(n9)),n8)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1396,f142]) ).
fof(f1398,plain,
( sum(sum(pred(n9),n5),sum(n3,n10)) != sum(sum(pred(n9),n10),n8)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1397,f193]) ).
fof(f1399,plain,
( sum(sum(n8,n5),sum(n3,n10)) != sum(sum(n8,n10),n8)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1398,f182]) ).
fof(f1400,plain,
( sum(n7,n8) != sum(sum(n8,n5),sum(n3,n10))
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1399,f82]) ).
fof(f1401,plain,
( sum(n7,n8) != sum(sum(n8,n5),n2)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1400,f137]) ).
fof(f1402,plain,
( sum(n2,n2) != sum(n7,n8)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1401,f87]) ).
fof(f1403,plain,
( n4 != sum(n2,n2)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1402,f95]) ).
fof(f1404,plain,
( $false
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f1403,f156]) ).
fof(f1405,plain,
( ~ spl2_10
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f1404]) ).
fof(f1413,plain,
( sum(sum(pred(n6),succ(sK1)),sum(pred(sK1),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1),succ(sK1)))
| ~ spl2_7 ),
inference(superposition,[],[f59,f230]) ).
fof(f1419,plain,
( sum(sum(pred(n6),succ(n9)),sum(pred(n9),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n9),succ(n9)))
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1413,f287]) ).
fof(f1420,plain,
( sum(sum(pred(n6),n10),sum(pred(n9),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n9),n10))
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1419,f193]) ).
fof(f1421,plain,
( sum(sum(pred(n6),n10),sum(n8,succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(n8,n10))
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1420,f182]) ).
fof(f1422,plain,
( sum(sum(pred(n6),n10),sum(n8,succ(n6))) != sum(sum(pred(n6),succ(n6)),n7)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1421,f82]) ).
fof(f1423,plain,
( sum(sum(pred(n6),n10),sum(n8,n7)) != sum(sum(pred(n6),n7),n7)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1422,f196]) ).
fof(f1424,plain,
( sum(sum(n5,n10),sum(n8,n7)) != sum(sum(n5,n7),n7)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1423,f185]) ).
fof(f1425,plain,
( sum(n1,n7) != sum(sum(n5,n10),sum(n8,n7))
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1424,f118]) ).
fof(f1426,plain,
( sum(n1,n7) != sum(sum(n5,n10),n4)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1425,f85]) ).
fof(f1427,plain,
( sum(n1,n7) != sum(n4,n4)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1426,f115]) ).
fof(f1428,plain,
( n8 != sum(n1,n7)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1427,f132]) ).
fof(f1429,plain,
( $false
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1428,f162]) ).
fof(f1430,plain,
( ~ spl2_7
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1436,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1)))
| ~ spl2_6 ),
inference(superposition,[],[f59,f226]) ).
fof(f1442,plain,
( sum(sum(pred(n5),succ(n9)),sum(pred(n9),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n9),succ(n9)))
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1436,f287]) ).
fof(f1443,plain,
( sum(sum(pred(n5),n10),sum(pred(n9),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n9),n10))
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1442,f193]) ).
fof(f1444,plain,
( sum(sum(pred(n5),n10),sum(n8,succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(n8,n10))
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1443,f182]) ).
fof(f1445,plain,
( sum(sum(pred(n5),n10),sum(n8,succ(n5))) != sum(sum(pred(n5),succ(n5)),n7)
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1444,f82]) ).
fof(f1446,plain,
( sum(sum(pred(n5),n10),sum(n8,n6)) != sum(sum(pred(n5),n6),n7)
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1445,f197]) ).
fof(f1447,plain,
( sum(sum(n4,n10),sum(n8,n6)) != sum(sum(n4,n6),n7)
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1446,f186]) ).
fof(f1448,plain,
( sum(n10,n7) != sum(sum(n4,n10),sum(n8,n6))
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1447,f130]) ).
fof(f1449,plain,
( sum(n10,n7) != sum(sum(n4,n10),n3)
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1448,f86]) ).
fof(f1450,plain,
( sum(n3,n3) != sum(n10,n7)
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1449,f126]) ).
fof(f1451,plain,
( n6 != sum(n3,n3)
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1450,f63]) ).
fof(f1452,plain,
( $false
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1451,f144]) ).
fof(f1453,plain,
( ~ spl2_6
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1452]) ).
fof(f1460,plain,
( sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1),succ(sK1)))
| ~ spl2_4 ),
inference(superposition,[],[f59,f218]) ).
fof(f1465,plain,
( sum(sum(pred(n3),succ(n9)),sum(pred(n9),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n9),succ(n9)))
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1460,f287]) ).
fof(f1466,plain,
( sum(sum(pred(n3),n10),sum(pred(n9),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n9),n10))
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1465,f193]) ).
fof(f1467,plain,
( sum(sum(pred(n3),n10),sum(n8,succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(n8,n10))
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1466,f182]) ).
fof(f1468,plain,
( sum(sum(pred(n3),n10),sum(n8,succ(n3))) != sum(sum(pred(n3),succ(n3)),n7)
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1467,f82]) ).
fof(f1469,plain,
( sum(sum(pred(n3),n10),sum(n8,n4)) != sum(sum(pred(n3),n4),n7)
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1468,f199]) ).
fof(f1470,plain,
( sum(sum(n2,n10),sum(n8,n4)) != sum(sum(n2,n4),n7)
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1469,f188]) ).
fof(f1471,plain,
( sum(n6,n7) != sum(sum(n2,n10),sum(n8,n4))
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1470,f154]) ).
fof(f1472,plain,
( sum(n6,n7) != sum(sum(n2,n10),n1)
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1471,f88]) ).
fof(f1473,plain,
( sum(n1,n1) != sum(n6,n7)
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1472,f148]) ).
fof(f1474,plain,
( n2 != sum(n1,n1)
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1473,f107]) ).
fof(f1475,plain,
( $false
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1474,f168]) ).
fof(f1476,plain,
( ~ spl2_4
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1475]) ).
fof(f1484,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_3 ),
inference(superposition,[],[f59,f214]) ).
fof(f1488,plain,
( sum(sum(pred(n2),succ(n9)),sum(pred(n9),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n9),succ(n9)))
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1484,f287]) ).
fof(f1489,plain,
( sum(sum(pred(n2),n10),sum(pred(n9),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n9),n10))
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1488,f193]) ).
fof(f1490,plain,
( sum(sum(pred(n2),n10),sum(n8,succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(n8,n10))
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1489,f182]) ).
fof(f1491,plain,
( sum(sum(pred(n2),n10),sum(n8,succ(n2))) != sum(sum(pred(n2),succ(n2)),n7)
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1490,f82]) ).
fof(f1492,plain,
( sum(sum(pred(n2),n10),sum(n8,n3)) != sum(sum(pred(n2),n3),n7)
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1491,f200]) ).
fof(f1493,plain,
( sum(sum(n1,n10),sum(n8,n3)) != sum(sum(n1,n3),n7)
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1492,f189]) ).
fof(f1494,plain,
( sum(n4,n7) != sum(sum(n1,n10),sum(n8,n3))
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1493,f166]) ).
fof(f1495,plain,
( sum(n4,n7) != sum(sum(n1,n10),n0)
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1494,f89]) ).
fof(f1496,plain,
( sum(n0,n0) != sum(n4,n7)
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1495,f159]) ).
fof(f1497,plain,
( n0 != sum(n0,n0)
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1496,f129]) ).
fof(f1498,plain,
( $false
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1497,f180]) ).
fof(f1499,plain,
( ~ spl2_3
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1498]) ).
fof(f1506,plain,
( sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1)))
| ~ spl2_5 ),
inference(superposition,[],[f59,f222]) ).
fof(f1511,plain,
( sum(sum(pred(n4),succ(n9)),sum(pred(n9),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n9),succ(n9)))
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1506,f287]) ).
fof(f1512,plain,
( sum(sum(pred(n4),n10),sum(pred(n9),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n9),n10))
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1511,f193]) ).
fof(f1513,plain,
( sum(sum(pred(n4),n10),sum(n8,succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(n8,n10))
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1512,f182]) ).
fof(f1514,plain,
( sum(sum(pred(n4),n10),sum(n8,succ(n4))) != sum(sum(pred(n4),succ(n4)),n7)
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1513,f82]) ).
fof(f1515,plain,
( sum(sum(pred(n4),n10),sum(n8,n5)) != sum(sum(pred(n4),n5),n7)
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1514,f198]) ).
fof(f1516,plain,
( sum(sum(n3,n10),sum(n8,n5)) != sum(sum(n3,n5),n7)
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1515,f187]) ).
fof(f1517,plain,
( sum(n8,n7) != sum(sum(n3,n10),sum(n8,n5))
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1516,f142]) ).
fof(f1518,plain,
( sum(n8,n7) != sum(sum(n3,n10),n2)
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1517,f87]) ).
fof(f1519,plain,
( sum(n2,n2) != sum(n8,n7)
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1518,f137]) ).
fof(f1520,plain,
( n4 != sum(n2,n2)
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1519,f85]) ).
fof(f1521,plain,
( $false
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1520,f156]) ).
fof(f1522,plain,
( ~ spl2_5
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1521]) ).
fof(f1528,plain,
( sum(sum(pred(n10),succ(sK1)),sum(pred(sK1),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(sK1),succ(sK1)))
| ~ spl2_11 ),
inference(superposition,[],[f59,f246]) ).
fof(f1534,plain,
( sum(sum(pred(n10),succ(n9)),sum(pred(n9),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n9),succ(n9)))
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1528,f287]) ).
fof(f1535,plain,
( sum(sum(pred(n10),n10),sum(pred(n9),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n9),n10))
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1534,f193]) ).
fof(f1536,plain,
( sum(sum(pred(n10),n10),sum(n8,succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(n8,n10))
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1535,f182]) ).
fof(f1537,plain,
( sum(sum(pred(n10),n10),sum(n8,succ(n10))) != sum(sum(pred(n10),succ(n10)),n7)
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1536,f82]) ).
fof(f1538,plain,
( sum(sum(pred(n10),n10),sum(n8,n0)) != sum(sum(pred(n10),n0),n7)
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1537,f192]) ).
fof(f1539,plain,
( sum(sum(n9,n10),sum(n8,n0)) != sum(sum(n9,n0),n7)
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1538,f181]) ).
fof(f1540,plain,
( sum(n9,n7) != sum(sum(n9,n10),sum(n8,n0))
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1539,f81]) ).
fof(f1541,plain,
( sum(n9,n7) != sum(sum(n9,n10),n8)
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1540,f92]) ).
fof(f1542,plain,
( sum(n8,n8) != sum(n9,n7)
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1541,f71]) ).
fof(f1543,plain,
( n5 != sum(n8,n8)
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1542,f74]) ).
fof(f1544,plain,
( $false
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1543,f84]) ).
fof(f1545,plain,
( ~ spl2_11
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1544]) ).
fof(f1552,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1)))
| ~ spl2_1 ),
inference(superposition,[],[f59,f206]) ).
fof(f1557,plain,
( sum(sum(pred(n0),succ(n9)),sum(pred(n9),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n9),succ(n9)))
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1552,f287]) ).
fof(f1558,plain,
( sum(sum(pred(n0),n10),sum(pred(n9),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n9),n10))
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1557,f193]) ).
fof(f1559,plain,
( sum(sum(pred(n0),n10),sum(n8,succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(n8,n10))
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1558,f182]) ).
fof(f1560,plain,
( sum(sum(pred(n0),n10),sum(n8,succ(n0))) != sum(sum(pred(n0),succ(n0)),n7)
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1559,f82]) ).
fof(f1561,plain,
( sum(sum(pred(n0),n10),sum(n8,n1)) != sum(sum(pred(n0),n1),n7)
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1560,f202]) ).
fof(f1562,plain,
( sum(sum(n10,n10),sum(n8,n1)) != sum(sum(n10,n1),n7)
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1561,f191]) ).
fof(f1563,plain,
( sum(n0,n7) != sum(sum(n10,n10),sum(n8,n1))
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1562,f69]) ).
fof(f1564,plain,
( sum(n0,n7) != sum(sum(n10,n10),n9)
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1563,f91]) ).
fof(f1565,plain,
( sum(n0,n7) != sum(n9,n9)
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1564,f60]) ).
fof(f1566,plain,
( n7 != sum(n0,n7)
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1565,f72]) ).
fof(f1567,plain,
( $false
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1566,f173]) ).
fof(f1568,plain,
( ~ spl2_1
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1567]) ).
fof(f1578,plain,
( sum(sum(pred(n10),succ(sK1)),sum(pred(sK1),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(sK1),succ(sK1)))
| ~ spl2_11 ),
inference(superposition,[],[f59,f246]) ).
fof(f1583,plain,
( sum(sum(pred(n10),succ(n6)),sum(pred(n6),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n6),succ(n6)))
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1578,f275]) ).
fof(f1584,plain,
( sum(sum(pred(n10),n7),sum(pred(n6),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n6),n7))
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1583,f196]) ).
fof(f1585,plain,
( sum(sum(pred(n10),n7),sum(n5,succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(n5,n7))
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1584,f185]) ).
fof(f1586,plain,
( sum(sum(pred(n10),n7),sum(n5,succ(n10))) != sum(sum(pred(n10),succ(n10)),n1)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1585,f118]) ).
fof(f1587,plain,
( sum(sum(pred(n10),n7),sum(n5,n0)) != sum(sum(pred(n10),n0),n1)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1586,f192]) ).
fof(f1588,plain,
( sum(sum(n9,n7),sum(n5,n0)) != sum(sum(n9,n0),n1)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1587,f181]) ).
fof(f1589,plain,
( sum(n9,n1) != sum(sum(n9,n7),sum(n5,n0))
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1588,f81]) ).
fof(f1590,plain,
( sum(n9,n1) != sum(sum(n9,n7),n5)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1589,f125]) ).
fof(f1591,plain,
( sum(n5,n5) != sum(n9,n1)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1590,f74]) ).
fof(f1592,plain,
( n10 != sum(n5,n5)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1591,f80]) ).
fof(f1593,plain,
( $false
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f1592,f120]) ).
fof(f1594,plain,
( ~ spl2_11
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f1593]) ).
fof(f1600,plain,
( sum(sum(pred(n10),succ(n2)),sum(pred(n2),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n2),succ(n2)))
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1578,f259]) ).
fof(f1601,plain,
( sum(sum(pred(n10),n3),sum(pred(n2),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n2),n3))
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1600,f200]) ).
fof(f1602,plain,
( sum(sum(pred(n10),n3),sum(n1,succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(n1,n3))
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1601,f189]) ).
fof(f1603,plain,
( sum(sum(pred(n10),n3),sum(n1,succ(n10))) != sum(sum(pred(n10),succ(n10)),n4)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1602,f166]) ).
fof(f1604,plain,
( sum(sum(pred(n10),n3),sum(n1,n0)) != sum(sum(pred(n10),n0),n4)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1603,f192]) ).
fof(f1605,plain,
( sum(sum(n9,n3),sum(n1,n0)) != sum(sum(n9,n0),n4)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1604,f181]) ).
fof(f1606,plain,
( sum(n9,n4) != sum(sum(n9,n3),sum(n1,n0))
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1605,f81]) ).
fof(f1607,plain,
( sum(n9,n4) != sum(sum(n9,n3),n1)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1606,f169]) ).
fof(f1608,plain,
( sum(n1,n1) != sum(n9,n4)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1607,f78]) ).
fof(f1609,plain,
( n2 != sum(n1,n1)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1608,f77]) ).
fof(f1610,plain,
( $false
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f1609,f168]) ).
fof(f1611,plain,
( ~ spl2_11
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f1610]) ).
fof(f1618,plain,
( sum(sum(pred(n10),succ(n1)),sum(pred(n1),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n1),succ(n1)))
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1578,f255]) ).
fof(f1619,plain,
( sum(sum(pred(n10),n2),sum(pred(n1),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n1),n2))
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1618,f201]) ).
fof(f1620,plain,
( sum(sum(pred(n10),n2),sum(n0,succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(n0,n2))
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1619,f190]) ).
fof(f1621,plain,
( sum(sum(pred(n10),n2),sum(n0,succ(n10))) != sum(sum(pred(n10),succ(n10)),n2)
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1620,f178]) ).
fof(f1622,plain,
( sum(sum(pred(n10),n2),sum(n0,n0)) != sum(sum(pred(n10),n0),n2)
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1621,f192]) ).
fof(f1623,plain,
( sum(sum(n9,n2),sum(n0,n0)) != sum(sum(n9,n0),n2)
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1622,f181]) ).
fof(f1624,plain,
( sum(n9,n2) != sum(sum(n9,n2),sum(n0,n0))
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1623,f81]) ).
fof(f1625,plain,
( sum(n9,n2) != sum(sum(n9,n2),n0)
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1624,f180]) ).
fof(f1626,plain,
( n0 != sum(n0,n0)
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1625,f79]) ).
fof(f1627,plain,
( $false
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f1626,f180]) ).
fof(f1628,plain,
( ~ spl2_11
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f1627]) ).
fof(f1634,plain,
( sum(sum(pred(n10),succ(n10)),sum(pred(n10),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n10),succ(n10)))
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1578,f291]) ).
fof(f1635,plain,
( $false
| ~ spl2_11
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f1634]) ).
fof(f1636,plain,
( ~ spl2_11
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f1635]) ).
fof(f1643,plain,
( sum(sum(pred(n10),succ(n0)),sum(pred(n0),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n0),succ(n0)))
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1578,f251]) ).
fof(f1644,plain,
( sum(sum(pred(n10),n1),sum(pred(n0),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n0),n1))
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1643,f202]) ).
fof(f1645,plain,
( sum(sum(pred(n10),n1),sum(n10,succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(n10,n1))
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1644,f191]) ).
fof(f1646,plain,
( sum(sum(pred(n10),n1),sum(n10,succ(n10))) != sum(sum(pred(n10),succ(n10)),n0)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1645,f69]) ).
fof(f1647,plain,
( sum(sum(pred(n10),n1),sum(n10,n0)) != sum(sum(pred(n10),n0),n0)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1646,f192]) ).
fof(f1648,plain,
( sum(sum(n9,n1),sum(n10,n0)) != sum(sum(n9,n0),n0)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1647,f181]) ).
fof(f1649,plain,
( sum(n9,n0) != sum(sum(n9,n1),sum(n10,n0))
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1648,f81]) ).
fof(f1650,plain,
( sum(n9,n0) != sum(sum(n9,n1),n10)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1649,f70]) ).
fof(f1651,plain,
( sum(n9,n0) != sum(n10,n10)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1650,f80]) ).
fof(f1652,plain,
( n9 != sum(n9,n0)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1651,f60]) ).
fof(f1653,plain,
( $false
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1652,f81]) ).
fof(f1654,plain,
( ~ spl2_11
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1653]) ).
fof(f1661,plain,
( sum(sum(pred(n10),succ(n4)),sum(pred(n4),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n4),succ(n4)))
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1578,f267]) ).
fof(f1662,plain,
( sum(sum(pred(n10),n5),sum(pred(n4),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n4),n5))
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1661,f198]) ).
fof(f1663,plain,
( sum(sum(pred(n10),n5),sum(n3,succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(n3,n5))
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1662,f187]) ).
fof(f1664,plain,
( sum(sum(pred(n10),n5),sum(n3,succ(n10))) != sum(sum(pred(n10),succ(n10)),n8)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1663,f142]) ).
fof(f1665,plain,
( sum(sum(pred(n10),n5),sum(n3,n0)) != sum(sum(pred(n10),n0),n8)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1664,f192]) ).
fof(f1666,plain,
( sum(sum(n9,n5),sum(n3,n0)) != sum(sum(n9,n0),n8)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1665,f181]) ).
fof(f1667,plain,
( sum(n9,n8) != sum(sum(n9,n5),sum(n3,n0))
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1666,f81]) ).
fof(f1668,plain,
( sum(n9,n8) != sum(sum(n9,n5),n3)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1667,f147]) ).
fof(f1669,plain,
( sum(n3,n3) != sum(n9,n8)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1668,f76]) ).
fof(f1670,plain,
( n6 != sum(n3,n3)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1669,f73]) ).
fof(f1671,plain,
( $false
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f1670,f144]) ).
fof(f1672,plain,
( ~ spl2_11
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f1671]) ).
fof(f1678,plain,
( sum(sum(pred(n10),succ(n8)),sum(pred(n8),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n8),succ(n8)))
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1578,f283]) ).
fof(f1679,plain,
( sum(sum(pred(n10),n9),sum(pred(n8),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(n8),n9))
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1678,f194]) ).
fof(f1680,plain,
( sum(sum(pred(n10),n9),sum(n7,succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(n7,n9))
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1679,f183]) ).
fof(f1681,plain,
( sum(sum(pred(n10),n9),sum(n7,succ(n10))) != sum(sum(pred(n10),succ(n10)),n5)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1680,f94]) ).
fof(f1682,plain,
( sum(sum(pred(n10),n9),sum(n7,n0)) != sum(sum(pred(n10),n0),n5)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1681,f192]) ).
fof(f1683,plain,
( sum(sum(n9,n9),sum(n7,n0)) != sum(sum(n9,n0),n5)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1682,f181]) ).
fof(f1684,plain,
( sum(n9,n5) != sum(sum(n9,n9),sum(n7,n0))
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1683,f81]) ).
fof(f1685,plain,
( sum(n9,n5) != sum(sum(n9,n9),n7)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1684,f103]) ).
fof(f1686,plain,
( sum(n7,n7) != sum(n9,n5)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1685,f72]) ).
fof(f1687,plain,
( n3 != sum(n7,n7)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1686,f76]) ).
fof(f1688,plain,
( $false
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f1687,f96]) ).
fof(f1689,plain,
( ~ spl2_11
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f1688]) ).
fof(f1700,plain,
( sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1),succ(sK1)))
| ~ spl2_4 ),
inference(superposition,[],[f59,f218]) ).
fof(f1705,plain,
( sum(sum(pred(n3),succ(n0)),sum(pred(n0),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n0),succ(n0)))
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1700,f251]) ).
fof(f1706,plain,
( sum(sum(pred(n3),n1),sum(pred(n0),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n0),n1))
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1705,f202]) ).
fof(f1707,plain,
( sum(sum(pred(n3),n1),sum(n10,succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(n10,n1))
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1706,f191]) ).
fof(f1708,plain,
( sum(sum(pred(n3),n1),sum(n10,succ(n3))) != sum(sum(pred(n3),succ(n3)),n0)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1707,f69]) ).
fof(f1709,plain,
( sum(sum(pred(n3),n1),sum(n10,n4)) != sum(sum(pred(n3),n4),n0)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1708,f199]) ).
fof(f1710,plain,
( sum(sum(n2,n1),sum(n10,n4)) != sum(sum(n2,n4),n0)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1709,f188]) ).
fof(f1711,plain,
( sum(n6,n0) != sum(sum(n2,n1),sum(n10,n4))
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1710,f154]) ).
fof(f1712,plain,
( sum(n6,n0) != sum(sum(n2,n1),n3)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1711,f66]) ).
fof(f1713,plain,
( sum(n3,n3) != sum(n6,n0)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1712,f157]) ).
fof(f1714,plain,
( n6 != sum(n3,n3)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1713,f114]) ).
fof(f1715,plain,
( $false
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1714,f144]) ).
fof(f1716,plain,
( ~ spl2_4
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1715]) ).
fof(f1721,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1)))
| ~ spl2_6 ),
inference(superposition,[],[f59,f226]) ).
fof(f1727,plain,
( sum(sum(pred(n5),succ(n0)),sum(pred(n0),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n0),succ(n0)))
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1721,f251]) ).
fof(f1728,plain,
( sum(sum(pred(n5),n1),sum(pred(n0),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n0),n1))
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1727,f202]) ).
fof(f1729,plain,
( sum(sum(pred(n5),n1),sum(n10,succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(n10,n1))
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1728,f191]) ).
fof(f1730,plain,
( sum(sum(pred(n5),n1),sum(n10,succ(n5))) != sum(sum(pred(n5),succ(n5)),n0)
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1729,f69]) ).
fof(f1731,plain,
( sum(sum(pred(n5),n1),sum(n10,n6)) != sum(sum(pred(n5),n6),n0)
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1730,f197]) ).
fof(f1732,plain,
( sum(sum(n4,n1),sum(n10,n6)) != sum(sum(n4,n6),n0)
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1731,f186]) ).
fof(f1733,plain,
( sum(n10,n0) != sum(sum(n4,n1),sum(n10,n6))
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1732,f130]) ).
fof(f1734,plain,
( sum(n10,n0) != sum(sum(n4,n1),n5)
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1733,f64]) ).
fof(f1735,plain,
( sum(n5,n5) != sum(n10,n0)
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1734,f135]) ).
fof(f1736,plain,
( n10 != sum(n5,n5)
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1735,f70]) ).
fof(f1737,plain,
( $false
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1736,f120]) ).
fof(f1738,plain,
( ~ spl2_6
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1737]) ).
fof(f1744,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1)))
| ~ spl2_1 ),
inference(superposition,[],[f59,f206]) ).
fof(f1750,plain,
( sum(sum(pred(n0),succ(n0)),sum(pred(n0),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n0),succ(n0)))
| ~ spl2_1
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1744,f251]) ).
fof(f1751,plain,
( $false
| ~ spl2_1
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f1750]) ).
fof(f1752,plain,
( ~ spl2_1
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1751]) ).
fof(f1757,plain,
( sum(sum(pred(n6),succ(sK1)),sum(pred(sK1),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1),succ(sK1)))
| ~ spl2_7 ),
inference(superposition,[],[f59,f230]) ).
fof(f1764,plain,
( sum(sum(pred(n6),succ(n0)),sum(pred(n0),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1757,f251]) ).
fof(f1765,plain,
( sum(sum(pred(n6),n1),sum(pred(n0),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n0),n1))
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1764,f202]) ).
fof(f1766,plain,
( sum(sum(pred(n6),n1),sum(n10,succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(n10,n1))
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1765,f191]) ).
fof(f1767,plain,
( sum(sum(pred(n6),n1),sum(n10,succ(n6))) != sum(sum(pred(n6),succ(n6)),n0)
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1766,f69]) ).
fof(f1768,plain,
( sum(sum(pred(n6),n1),sum(n10,n7)) != sum(sum(pred(n6),n7),n0)
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1767,f196]) ).
fof(f1769,plain,
( sum(sum(n5,n1),sum(n10,n7)) != sum(sum(n5,n7),n0)
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1768,f185]) ).
fof(f1770,plain,
( sum(n1,n0) != sum(sum(n5,n1),sum(n10,n7))
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1769,f118]) ).
fof(f1771,plain,
( sum(n1,n0) != sum(sum(n5,n1),n6)
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1770,f63]) ).
fof(f1772,plain,
( sum(n1,n0) != sum(n6,n6)
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1771,f124]) ).
fof(f1773,plain,
( n1 != sum(n1,n0)
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1772,f108]) ).
fof(f1774,plain,
( $false
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1773,f169]) ).
fof(f1775,plain,
( ~ spl2_7
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1774]) ).
fof(f1781,plain,
( sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1)))
| ~ spl2_5 ),
inference(superposition,[],[f59,f222]) ).
fof(f1787,plain,
( sum(sum(pred(n4),succ(n0)),sum(pred(n0),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n0),succ(n0)))
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1781,f251]) ).
fof(f1788,plain,
( sum(sum(pred(n4),n1),sum(pred(n0),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n0),n1))
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1787,f202]) ).
fof(f1789,plain,
( sum(sum(pred(n4),n1),sum(n10,succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(n10,n1))
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1788,f191]) ).
fof(f1790,plain,
( sum(sum(pred(n4),n1),sum(n10,succ(n4))) != sum(sum(pred(n4),succ(n4)),n0)
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1789,f69]) ).
fof(f1791,plain,
( sum(sum(pred(n4),n1),sum(n10,n5)) != sum(sum(pred(n4),n5),n0)
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1790,f198]) ).
fof(f1792,plain,
( sum(sum(n3,n1),sum(n10,n5)) != sum(sum(n3,n5),n0)
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1791,f187]) ).
fof(f1793,plain,
( sum(n8,n0) != sum(sum(n3,n1),sum(n10,n5))
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1792,f142]) ).
fof(f1794,plain,
( sum(n8,n0) != sum(sum(n3,n1),n4)
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1793,f65]) ).
fof(f1795,plain,
( sum(n4,n4) != sum(n8,n0)
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1794,f146]) ).
fof(f1796,plain,
( n8 != sum(n4,n4)
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1795,f92]) ).
fof(f1797,plain,
( $false
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1796,f132]) ).
fof(f1798,plain,
( ~ spl2_5
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1797]) ).
fof(f1805,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_3 ),
inference(superposition,[],[f59,f214]) ).
fof(f1810,plain,
( sum(sum(pred(n2),succ(n0)),sum(pred(n0),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n0),succ(n0)))
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1805,f251]) ).
fof(f1811,plain,
( sum(sum(pred(n2),n1),sum(pred(n0),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n0),n1))
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1810,f202]) ).
fof(f1812,plain,
( sum(sum(pred(n2),n1),sum(n10,succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(n10,n1))
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1811,f191]) ).
fof(f1813,plain,
( sum(sum(pred(n2),n1),sum(n10,succ(n2))) != sum(sum(pred(n2),succ(n2)),n0)
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1812,f69]) ).
fof(f1814,plain,
( sum(sum(pred(n2),n1),sum(n10,n3)) != sum(sum(pred(n2),n3),n0)
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1813,f200]) ).
fof(f1815,plain,
( sum(sum(n1,n1),sum(n10,n3)) != sum(sum(n1,n3),n0)
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1814,f189]) ).
fof(f1816,plain,
( sum(n4,n0) != sum(sum(n1,n1),sum(n10,n3))
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1815,f166]) ).
fof(f1817,plain,
( sum(n4,n0) != sum(sum(n1,n1),n2)
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1816,f67]) ).
fof(f1818,plain,
( sum(n2,n2) != sum(n4,n0)
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1817,f168]) ).
fof(f1819,plain,
( n4 != sum(n2,n2)
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1818,f136]) ).
fof(f1820,plain,
( $false
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1819,f156]) ).
fof(f1821,plain,
( ~ spl2_3
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1820]) ).
fof(f1831,plain,
( sum(sum(pred(n6),succ(sK1)),sum(pred(sK1),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1),succ(sK1)))
| ~ spl2_7 ),
inference(superposition,[],[f59,f230]) ).
fof(f1836,plain,
( sum(sum(pred(n6),succ(n6)),sum(pred(n6),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n6),succ(n6)))
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1831,f275]) ).
fof(f1837,plain,
( $false
| ~ spl2_7
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f1836]) ).
fof(f1838,plain,
( ~ spl2_7
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f1837]) ).
fof(f1843,plain,
( sum(sum(pred(n6),succ(n2)),sum(pred(n2),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n2),succ(n2)))
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1831,f259]) ).
fof(f1844,plain,
( sum(sum(pred(n6),n3),sum(pred(n2),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n2),n3))
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1843,f200]) ).
fof(f1845,plain,
( sum(sum(pred(n6),n3),sum(n1,succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(n1,n3))
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1844,f189]) ).
fof(f1846,plain,
( sum(sum(pred(n6),n3),sum(n1,succ(n6))) != sum(sum(pred(n6),succ(n6)),n4)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1845,f166]) ).
fof(f1847,plain,
( sum(sum(pred(n6),n3),sum(n1,n7)) != sum(sum(pred(n6),n7),n4)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1846,f196]) ).
fof(f1848,plain,
( sum(sum(n5,n3),sum(n1,n7)) != sum(sum(n5,n7),n4)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1847,f185]) ).
fof(f1849,plain,
( sum(n1,n4) != sum(sum(n5,n3),sum(n1,n7))
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1848,f118]) ).
fof(f1850,plain,
( sum(n1,n4) != sum(sum(n5,n3),n8)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1849,f162]) ).
fof(f1851,plain,
( sum(n1,n4) != sum(n8,n8)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1850,f122]) ).
fof(f1852,plain,
( n5 != sum(n1,n4)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1851,f84]) ).
fof(f1853,plain,
( $false
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f1852,f165]) ).
fof(f1854,plain,
( ~ spl2_7
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f1853]) ).
fof(f1858,plain,
( sum(sum(pred(n6),succ(n10)),sum(pred(n10),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n10),succ(n10)))
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1831,f291]) ).
fof(f1859,plain,
( sum(sum(pred(n6),n0),sum(pred(n10),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n10),n0))
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1858,f192]) ).
fof(f1860,plain,
( sum(sum(pred(n6),n0),sum(n9,succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(n9,n0))
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1859,f181]) ).
fof(f1861,plain,
( sum(sum(pred(n6),n0),sum(n9,succ(n6))) != sum(sum(pred(n6),succ(n6)),n9)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1860,f81]) ).
fof(f1862,plain,
( sum(sum(pred(n6),n0),sum(n9,n7)) != sum(sum(pred(n6),n7),n9)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1861,f196]) ).
fof(f1863,plain,
( sum(sum(n5,n0),sum(n9,n7)) != sum(sum(n5,n7),n9)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1862,f185]) ).
fof(f1864,plain,
( sum(n1,n9) != sum(sum(n5,n0),sum(n9,n7))
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1863,f118]) ).
fof(f1865,plain,
( sum(n1,n9) != sum(sum(n5,n0),n5)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1864,f74]) ).
fof(f1866,plain,
( sum(n1,n9) != sum(n5,n5)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1865,f125]) ).
fof(f1867,plain,
( n10 != sum(n1,n9)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1866,f120]) ).
fof(f1868,plain,
( $false
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f1867,f160]) ).
fof(f1869,plain,
( ~ spl2_7
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f1868]) ).
fof(f1874,plain,
( sum(sum(pred(n6),succ(n4)),sum(pred(n4),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n4),succ(n4)))
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1831,f267]) ).
fof(f1875,plain,
( sum(sum(pred(n6),n5),sum(pred(n4),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n4),n5))
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1874,f198]) ).
fof(f1876,plain,
( sum(sum(pred(n6),n5),sum(n3,succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(n3,n5))
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1875,f187]) ).
fof(f1877,plain,
( sum(sum(pred(n6),n5),sum(n3,succ(n6))) != sum(sum(pred(n6),succ(n6)),n8)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1876,f142]) ).
fof(f1878,plain,
( sum(sum(pred(n6),n5),sum(n3,n7)) != sum(sum(pred(n6),n7),n8)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1877,f196]) ).
fof(f1879,plain,
( sum(sum(n5,n5),sum(n3,n7)) != sum(sum(n5,n7),n8)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1878,f185]) ).
fof(f1880,plain,
( sum(n1,n8) != sum(sum(n5,n5),sum(n3,n7))
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1879,f118]) ).
fof(f1881,plain,
( sum(n1,n8) != sum(sum(n5,n5),n10)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1880,f140]) ).
fof(f1882,plain,
( sum(n1,n8) != sum(n10,n10)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1881,f120]) ).
fof(f1883,plain,
( n9 != sum(n1,n8)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1882,f60]) ).
fof(f1884,plain,
( $false
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f1883,f161]) ).
fof(f1885,plain,
( ~ spl2_7
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f1884]) ).
fof(f1890,plain,
( sum(sum(pred(n6),succ(n8)),sum(pred(n8),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n8),succ(n8)))
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1831,f283]) ).
fof(f1891,plain,
( sum(sum(pred(n6),n9),sum(pred(n8),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n8),n9))
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1890,f194]) ).
fof(f1892,plain,
( sum(sum(pred(n6),n9),sum(n7,succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(n7,n9))
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1891,f183]) ).
fof(f1893,plain,
( sum(sum(pred(n6),n9),sum(n7,succ(n6))) != sum(sum(pred(n6),succ(n6)),n5)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1892,f94]) ).
fof(f1894,plain,
( sum(sum(pred(n6),n9),sum(n7,n7)) != sum(sum(pred(n6),n7),n5)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1893,f196]) ).
fof(f1895,plain,
( sum(sum(n5,n9),sum(n7,n7)) != sum(sum(n5,n7),n5)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1894,f185]) ).
fof(f1896,plain,
( sum(n1,n5) != sum(sum(n5,n9),sum(n7,n7))
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1895,f118]) ).
fof(f1897,plain,
( sum(n1,n5) != sum(sum(n5,n9),n3)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1896,f96]) ).
fof(f1898,plain,
( sum(n1,n5) != sum(n3,n3)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1897,f116]) ).
fof(f1899,plain,
( n6 != sum(n1,n5)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1898,f144]) ).
fof(f1900,plain,
( $false
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f1899,f164]) ).
fof(f1901,plain,
( ~ spl2_7
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f1900]) ).
fof(f1907,plain,
( sum(sum(pred(n6),succ(n1)),sum(pred(n1),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n1),succ(n1)))
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1831,f255]) ).
fof(f1908,plain,
( sum(sum(pred(n6),n2),sum(pred(n1),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n1),n2))
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1907,f201]) ).
fof(f1909,plain,
( sum(sum(pred(n6),n2),sum(n0,succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(n0,n2))
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1908,f190]) ).
fof(f1910,plain,
( sum(sum(pred(n6),n2),sum(n0,succ(n6))) != sum(sum(pred(n6),succ(n6)),n2)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1909,f178]) ).
fof(f1911,plain,
( sum(sum(pred(n6),n2),sum(n0,n7)) != sum(sum(pred(n6),n7),n2)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1910,f196]) ).
fof(f1912,plain,
( sum(sum(n5,n2),sum(n0,n7)) != sum(sum(n5,n7),n2)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1911,f185]) ).
fof(f1913,plain,
( sum(n1,n2) != sum(sum(n5,n2),sum(n0,n7))
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1912,f118]) ).
fof(f1914,plain,
( sum(n1,n2) != sum(sum(n5,n2),n7)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1913,f173]) ).
fof(f1915,plain,
( sum(n1,n2) != sum(n7,n7)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1914,f123]) ).
fof(f1916,plain,
( n3 != sum(n1,n2)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1915,f96]) ).
fof(f1917,plain,
( $false
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f1916,f167]) ).
fof(f1918,plain,
( ~ spl2_7
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f1917]) ).
fof(f1930,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_3 ),
inference(superposition,[],[f59,f214]) ).
fof(f1935,plain,
( sum(sum(pred(n2),succ(n2)),sum(pred(n2),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n2),succ(n2)))
| ~ spl2_3
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1930,f259]) ).
fof(f1936,plain,
( $false
| ~ spl2_3
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f1935]) ).
fof(f1937,plain,
( ~ spl2_3
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f1936]) ).
fof(f1943,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1)))
| ~ spl2_6 ),
inference(superposition,[],[f59,f226]) ).
fof(f1949,plain,
( sum(sum(pred(n5),succ(n2)),sum(pred(n2),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n2),succ(n2)))
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1943,f259]) ).
fof(f1950,plain,
( sum(sum(pred(n5),n3),sum(pred(n2),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n2),n3))
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1949,f200]) ).
fof(f1951,plain,
( sum(sum(pred(n5),n3),sum(n1,succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(n1,n3))
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1950,f189]) ).
fof(f1952,plain,
( sum(sum(pred(n5),n3),sum(n1,succ(n5))) != sum(sum(pred(n5),succ(n5)),n4)
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1951,f166]) ).
fof(f1953,plain,
( sum(sum(pred(n5),n3),sum(n1,n6)) != sum(sum(pred(n5),n6),n4)
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1952,f197]) ).
fof(f1954,plain,
( sum(sum(n4,n3),sum(n1,n6)) != sum(sum(n4,n6),n4)
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1953,f186]) ).
fof(f1955,plain,
( sum(n10,n4) != sum(sum(n4,n3),sum(n1,n6))
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1954,f130]) ).
fof(f1956,plain,
( sum(n10,n4) != sum(sum(n4,n3),n7)
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1955,f163]) ).
fof(f1957,plain,
( sum(n7,n7) != sum(n10,n4)
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1956,f133]) ).
fof(f1958,plain,
( n3 != sum(n7,n7)
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1957,f66]) ).
fof(f1959,plain,
( $false
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f1958,f96]) ).
fof(f1960,plain,
( ~ spl2_6
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f1959]) ).
fof(f1967,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1)))
| ~ spl2_1 ),
inference(superposition,[],[f59,f206]) ).
fof(f1972,plain,
( sum(sum(pred(n0),succ(n2)),sum(pred(n2),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n2),succ(n2)))
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1967,f259]) ).
fof(f1973,plain,
( sum(sum(pred(n0),n3),sum(pred(n2),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n2),n3))
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1972,f200]) ).
fof(f1974,plain,
( sum(sum(pred(n0),n3),sum(n1,succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(n1,n3))
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1973,f189]) ).
fof(f1975,plain,
( sum(sum(pred(n0),n3),sum(n1,succ(n0))) != sum(sum(pred(n0),succ(n0)),n4)
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1974,f166]) ).
fof(f1976,plain,
( sum(sum(pred(n0),n3),sum(n1,n1)) != sum(sum(pred(n0),n1),n4)
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1975,f202]) ).
fof(f1977,plain,
( sum(sum(n10,n3),sum(n1,n1)) != sum(sum(n10,n1),n4)
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1976,f191]) ).
fof(f1978,plain,
( sum(n0,n4) != sum(sum(n10,n3),sum(n1,n1))
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1977,f69]) ).
fof(f1979,plain,
( sum(n0,n4) != sum(sum(n10,n3),n2)
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1978,f168]) ).
fof(f1980,plain,
( sum(n0,n4) != sum(n2,n2)
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1979,f67]) ).
fof(f1981,plain,
( n4 != sum(n0,n4)
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1980,f156]) ).
fof(f1982,plain,
( $false
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f1981,f176]) ).
fof(f1983,plain,
( ~ spl2_1
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f1982]) ).
fof(f1989,plain,
( sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1)))
| ~ spl2_5 ),
inference(superposition,[],[f59,f222]) ).
fof(f1995,plain,
( sum(sum(pred(n4),succ(n2)),sum(pred(n2),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n2),succ(n2)))
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1989,f259]) ).
fof(f1996,plain,
( sum(sum(pred(n4),n3),sum(pred(n2),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n2),n3))
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1995,f200]) ).
fof(f1997,plain,
( sum(sum(pred(n4),n3),sum(n1,succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(n1,n3))
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1996,f189]) ).
fof(f1998,plain,
( sum(sum(pred(n4),n3),sum(n1,succ(n4))) != sum(sum(pred(n4),succ(n4)),n4)
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1997,f166]) ).
fof(f1999,plain,
( sum(sum(pred(n4),n3),sum(n1,n5)) != sum(sum(pred(n4),n5),n4)
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1998,f198]) ).
fof(f2000,plain,
( sum(sum(n3,n3),sum(n1,n5)) != sum(sum(n3,n5),n4)
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1999,f187]) ).
fof(f2001,plain,
( sum(n8,n4) != sum(sum(n3,n3),sum(n1,n5))
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2000,f142]) ).
fof(f2002,plain,
( sum(n8,n4) != sum(sum(n3,n3),n6)
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2001,f164]) ).
fof(f2003,plain,
( sum(n6,n6) != sum(n8,n4)
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2002,f144]) ).
fof(f2004,plain,
( n1 != sum(n6,n6)
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2003,f88]) ).
fof(f2005,plain,
( $false
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f2004,f108]) ).
fof(f2006,plain,
( ~ spl2_5
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f2005]) ).
fof(f2013,plain,
( sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1),succ(sK1)))
| ~ spl2_4 ),
inference(superposition,[],[f59,f218]) ).
fof(f2018,plain,
( sum(sum(pred(n3),succ(n2)),sum(pred(n2),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n2),succ(n2)))
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2013,f259]) ).
fof(f2019,plain,
( sum(sum(pred(n3),n3),sum(pred(n2),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n2),n3))
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2018,f200]) ).
fof(f2020,plain,
( sum(sum(pred(n3),n3),sum(n1,succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(n1,n3))
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2019,f189]) ).
fof(f2021,plain,
( sum(sum(pred(n3),n3),sum(n1,succ(n3))) != sum(sum(pred(n3),succ(n3)),n4)
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2020,f166]) ).
fof(f2022,plain,
( sum(sum(pred(n3),n3),sum(n1,n4)) != sum(sum(pred(n3),n4),n4)
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2021,f199]) ).
fof(f2023,plain,
( sum(sum(n2,n3),sum(n1,n4)) != sum(sum(n2,n4),n4)
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2022,f188]) ).
fof(f2024,plain,
( sum(n6,n4) != sum(sum(n2,n3),sum(n1,n4))
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2023,f154]) ).
fof(f2025,plain,
( sum(n6,n4) != sum(sum(n2,n3),n5)
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2024,f165]) ).
fof(f2026,plain,
( sum(n5,n5) != sum(n6,n4)
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2025,f155]) ).
fof(f2027,plain,
( n10 != sum(n5,n5)
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2026,f110]) ).
fof(f2028,plain,
( $false
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f2027,f120]) ).
fof(f2029,plain,
( ~ spl2_4
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f2028]) ).
fof(f2034,plain,
( sum(sum(pred(n3),succ(n6)),sum(pred(n6),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n6),succ(n6)))
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2013,f275]) ).
fof(f2035,plain,
( sum(sum(pred(n3),n7),sum(pred(n6),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n6),n7))
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2034,f196]) ).
fof(f2036,plain,
( sum(sum(pred(n3),n7),sum(n5,succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(n5,n7))
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2035,f185]) ).
fof(f2037,plain,
( sum(sum(pred(n3),n7),sum(n5,succ(n3))) != sum(sum(pred(n3),succ(n3)),n1)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2036,f118]) ).
fof(f2038,plain,
( sum(sum(pred(n3),n7),sum(n5,n4)) != sum(sum(pred(n3),n4),n1)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2037,f199]) ).
fof(f2039,plain,
( sum(sum(n2,n7),sum(n5,n4)) != sum(sum(n2,n4),n1)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2038,f188]) ).
fof(f2040,plain,
( sum(n6,n1) != sum(sum(n2,n7),sum(n5,n4))
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2039,f154]) ).
fof(f2041,plain,
( sum(n6,n1) != sum(sum(n2,n7),n9)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2040,f121]) ).
fof(f2042,plain,
( sum(n6,n1) != sum(n9,n9)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2041,f151]) ).
fof(f2043,plain,
( n7 != sum(n6,n1)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2042,f72]) ).
fof(f2044,plain,
( $false
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f2043,f113]) ).
fof(f2045,plain,
( ~ spl2_4
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f2044]) ).
fof(f2049,plain,
( sum(sum(pred(n3),succ(n8)),sum(pred(n8),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n8),succ(n8)))
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2013,f283]) ).
fof(f2050,plain,
( sum(sum(pred(n3),n9),sum(pred(n8),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n8),n9))
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2049,f194]) ).
fof(f2051,plain,
( sum(sum(pred(n3),n9),sum(n7,succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(n7,n9))
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2050,f183]) ).
fof(f2052,plain,
( sum(sum(pred(n3),n9),sum(n7,succ(n3))) != sum(sum(pred(n3),succ(n3)),n5)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2051,f94]) ).
fof(f2053,plain,
( sum(sum(pred(n3),n9),sum(n7,n4)) != sum(sum(pred(n3),n4),n5)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2052,f199]) ).
fof(f2054,plain,
( sum(sum(n2,n9),sum(n7,n4)) != sum(sum(n2,n4),n5)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2053,f188]) ).
fof(f2055,plain,
( sum(n6,n5) != sum(sum(n2,n9),sum(n7,n4))
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2054,f154]) ).
fof(f2056,plain,
( sum(n6,n5) != sum(sum(n2,n9),n0)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2055,f99]) ).
fof(f2057,plain,
( sum(n0,n0) != sum(n6,n5)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2056,f149]) ).
fof(f2058,plain,
( n0 != sum(n0,n0)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2057,f109]) ).
fof(f2059,plain,
( $false
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2058,f180]) ).
fof(f2060,plain,
( ~ spl2_4
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f2059]) ).
fof(f2063,plain,
( sum(sum(pred(n3),succ(n10)),sum(pred(n10),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n10),succ(n10)))
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2013,f291]) ).
fof(f2064,plain,
( sum(sum(pred(n3),n0),sum(pred(n10),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n10),n0))
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2063,f192]) ).
fof(f2065,plain,
( sum(sum(pred(n3),n0),sum(n9,succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(n9,n0))
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2064,f181]) ).
fof(f2066,plain,
( sum(sum(pred(n3),n0),sum(n9,succ(n3))) != sum(sum(pred(n3),succ(n3)),n9)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2065,f81]) ).
fof(f2067,plain,
( sum(sum(pred(n3),n0),sum(n9,n4)) != sum(sum(pred(n3),n4),n9)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2066,f199]) ).
fof(f2068,plain,
( sum(sum(n2,n0),sum(n9,n4)) != sum(sum(n2,n4),n9)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2067,f188]) ).
fof(f2069,plain,
( sum(n6,n9) != sum(sum(n2,n0),sum(n9,n4))
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2068,f154]) ).
fof(f2070,plain,
( sum(n6,n9) != sum(sum(n2,n0),n2)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2069,f77]) ).
fof(f2071,plain,
( sum(n2,n2) != sum(n6,n9)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2070,f158]) ).
fof(f2072,plain,
( n4 != sum(n2,n2)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2071,f105]) ).
fof(f2073,plain,
( $false
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f2072,f156]) ).
fof(f2074,plain,
( ~ spl2_4
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f2073]) ).
fof(f2078,plain,
( sum(sum(pred(n3),succ(n4)),sum(pred(n4),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n4),succ(n4)))
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2013,f267]) ).
fof(f2079,plain,
( sum(sum(pred(n3),n5),sum(pred(n4),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n4),n5))
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2078,f198]) ).
fof(f2080,plain,
( sum(sum(pred(n3),n5),sum(n3,succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(n3,n5))
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2079,f187]) ).
fof(f2081,plain,
( sum(sum(pred(n3),n5),sum(n3,succ(n3))) != sum(sum(pred(n3),succ(n3)),n8)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2080,f142]) ).
fof(f2082,plain,
( sum(sum(pred(n3),n5),sum(n3,n4)) != sum(sum(pred(n3),n4),n8)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2081,f199]) ).
fof(f2083,plain,
( sum(sum(n2,n5),sum(n3,n4)) != sum(sum(n2,n4),n8)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2082,f188]) ).
fof(f2084,plain,
( sum(n6,n8) != sum(sum(n2,n5),sum(n3,n4))
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2083,f154]) ).
fof(f2085,plain,
( sum(n6,n8) != sum(sum(n2,n5),n7)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2084,f143]) ).
fof(f2086,plain,
( sum(n6,n8) != sum(n7,n7)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2085,f153]) ).
fof(f2087,plain,
( n3 != sum(n6,n8)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2086,f96]) ).
fof(f2088,plain,
( $false
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f2087,f106]) ).
fof(f2089,plain,
( ~ spl2_4
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f2088]) ).
fof(f2094,plain,
( sum(sum(pred(n3),succ(n1)),sum(pred(n1),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n1),succ(n1)))
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2013,f255]) ).
fof(f2095,plain,
( sum(sum(pred(n3),n2),sum(pred(n1),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(n1),n2))
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2094,f201]) ).
fof(f2096,plain,
( sum(sum(pred(n3),n2),sum(n0,succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(n0,n2))
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2095,f190]) ).
fof(f2097,plain,
( sum(sum(pred(n3),n2),sum(n0,succ(n3))) != sum(sum(pred(n3),succ(n3)),n2)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2096,f178]) ).
fof(f2098,plain,
( sum(sum(pred(n3),n2),sum(n0,n4)) != sum(sum(pred(n3),n4),n2)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2097,f199]) ).
fof(f2099,plain,
( sum(sum(n2,n2),sum(n0,n4)) != sum(sum(n2,n4),n2)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2098,f188]) ).
fof(f2100,plain,
( sum(n6,n2) != sum(sum(n2,n2),sum(n0,n4))
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2099,f154]) ).
fof(f2101,plain,
( sum(n6,n2) != sum(sum(n2,n2),n4)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2100,f176]) ).
fof(f2102,plain,
( sum(n4,n4) != sum(n6,n2)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2101,f156]) ).
fof(f2103,plain,
( n8 != sum(n4,n4)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2102,f112]) ).
fof(f2104,plain,
( $false
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f2103,f132]) ).
fof(f2105,plain,
( ~ spl2_4
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f2104]) ).
fof(f2114,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1)))
| ~ spl2_6 ),
inference(superposition,[],[f59,f226]) ).
fof(f2120,plain,
( sum(sum(pred(n5),succ(n4)),sum(pred(n4),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n4),succ(n4)))
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2114,f267]) ).
fof(f2121,plain,
( sum(sum(pred(n5),n5),sum(pred(n4),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n4),n5))
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2120,f198]) ).
fof(f2122,plain,
( sum(sum(pred(n5),n5),sum(n3,succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(n3,n5))
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2121,f187]) ).
fof(f2123,plain,
( sum(sum(pred(n5),n5),sum(n3,succ(n5))) != sum(sum(pred(n5),succ(n5)),n8)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2122,f142]) ).
fof(f2124,plain,
( sum(sum(pred(n5),n5),sum(n3,n6)) != sum(sum(pred(n5),n6),n8)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2123,f197]) ).
fof(f2125,plain,
( sum(sum(n4,n5),sum(n3,n6)) != sum(sum(n4,n6),n8)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2124,f186]) ).
fof(f2126,plain,
( sum(n10,n8) != sum(sum(n4,n5),sum(n3,n6))
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2125,f130]) ).
fof(f2127,plain,
( sum(n10,n8) != sum(sum(n4,n5),n9)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2126,f141]) ).
fof(f2128,plain,
( sum(n9,n9) != sum(n10,n8)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2127,f131]) ).
fof(f2129,plain,
( n7 != sum(n9,n9)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2128,f62]) ).
fof(f2130,plain,
( $false
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f2129,f72]) ).
fof(f2131,plain,
( ~ spl2_6
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f2130]) ).
fof(f2138,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_3 ),
inference(superposition,[],[f59,f214]) ).
fof(f2143,plain,
( sum(sum(pred(n2),succ(n4)),sum(pred(n4),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n4),succ(n4)))
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2138,f267]) ).
fof(f2144,plain,
( sum(sum(pred(n2),n5),sum(pred(n4),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n4),n5))
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2143,f198]) ).
fof(f2145,plain,
( sum(sum(pred(n2),n5),sum(n3,succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(n3,n5))
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2144,f187]) ).
fof(f2146,plain,
( sum(sum(pred(n2),n5),sum(n3,succ(n2))) != sum(sum(pred(n2),succ(n2)),n8)
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2145,f142]) ).
fof(f2147,plain,
( sum(sum(pred(n2),n5),sum(n3,n3)) != sum(sum(pred(n2),n3),n8)
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2146,f200]) ).
fof(f2148,plain,
( sum(sum(n1,n5),sum(n3,n3)) != sum(sum(n1,n3),n8)
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2147,f189]) ).
fof(f2149,plain,
( sum(n4,n8) != sum(sum(n1,n5),sum(n3,n3))
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2148,f166]) ).
fof(f2150,plain,
( sum(n4,n8) != sum(sum(n1,n5),n6)
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2149,f144]) ).
fof(f2151,plain,
( sum(n4,n8) != sum(n6,n6)
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2150,f164]) ).
fof(f2152,plain,
( n1 != sum(n4,n8)
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2151,f108]) ).
fof(f2153,plain,
( $false
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f2152,f128]) ).
fof(f2154,plain,
( ~ spl2_3
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f2153]) ).
fof(f2160,plain,
( sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1)))
| ~ spl2_5 ),
inference(superposition,[],[f59,f222]) ).
fof(f2166,plain,
( sum(sum(pred(n4),succ(n4)),sum(pred(n4),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n4),succ(n4)))
| ~ spl2_5
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2160,f267]) ).
fof(f2167,plain,
( $false
| ~ spl2_5
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f2166]) ).
fof(f2168,plain,
( ~ spl2_5
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f2167]) ).
fof(f2175,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1)))
| ~ spl2_1 ),
inference(superposition,[],[f59,f206]) ).
fof(f2180,plain,
( sum(sum(pred(n0),succ(n4)),sum(pred(n4),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n4),succ(n4)))
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2175,f267]) ).
fof(f2181,plain,
( sum(sum(pred(n0),n5),sum(pred(n4),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n4),n5))
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2180,f198]) ).
fof(f2182,plain,
( sum(sum(pred(n0),n5),sum(n3,succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(n3,n5))
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2181,f187]) ).
fof(f2183,plain,
( sum(sum(pred(n0),n5),sum(n3,succ(n0))) != sum(sum(pred(n0),succ(n0)),n8)
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2182,f142]) ).
fof(f2184,plain,
( sum(sum(pred(n0),n5),sum(n3,n1)) != sum(sum(pred(n0),n1),n8)
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2183,f202]) ).
fof(f2185,plain,
( sum(sum(n10,n5),sum(n3,n1)) != sum(sum(n10,n1),n8)
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2184,f191]) ).
fof(f2186,plain,
( sum(n0,n8) != sum(sum(n10,n5),sum(n3,n1))
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2185,f69]) ).
fof(f2187,plain,
( sum(n0,n8) != sum(sum(n10,n5),n4)
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2186,f146]) ).
fof(f2188,plain,
( sum(n0,n8) != sum(n4,n4)
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2187,f65]) ).
fof(f2189,plain,
( n8 != sum(n0,n8)
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2188,f132]) ).
fof(f2190,plain,
( $false
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f2189,f172]) ).
fof(f2191,plain,
( ~ spl2_1
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f2190]) ).
fof(f2200,plain,
( sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1)))
| ~ spl2_5 ),
inference(superposition,[],[f59,f222]) ).
fof(f2205,plain,
( sum(sum(pred(n4),succ(n8)),sum(pred(n8),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n8),succ(n8)))
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2200,f283]) ).
fof(f2206,plain,
( sum(sum(pred(n4),n9),sum(pred(n8),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n8),n9))
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2205,f194]) ).
fof(f2207,plain,
( sum(sum(pred(n4),n9),sum(n7,succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(n7,n9))
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2206,f183]) ).
fof(f2208,plain,
( sum(sum(pred(n4),n9),sum(n7,succ(n4))) != sum(sum(pred(n4),succ(n4)),n5)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2207,f94]) ).
fof(f2209,plain,
( sum(sum(pred(n4),n9),sum(n7,n5)) != sum(sum(pred(n4),n5),n5)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2208,f198]) ).
fof(f2210,plain,
( sum(sum(n3,n9),sum(n7,n5)) != sum(sum(n3,n5),n5)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2209,f187]) ).
fof(f2211,plain,
( sum(n8,n5) != sum(sum(n3,n9),sum(n7,n5))
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2210,f142]) ).
fof(f2212,plain,
( sum(n8,n5) != sum(sum(n3,n9),n1)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2211,f98]) ).
fof(f2213,plain,
( sum(n1,n1) != sum(n8,n5)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2212,f138]) ).
fof(f2214,plain,
( n2 != sum(n1,n1)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2213,f87]) ).
fof(f2215,plain,
( $false
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2214,f168]) ).
fof(f2216,plain,
( ~ spl2_5
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f2215]) ).
fof(f2221,plain,
( sum(sum(pred(n4),succ(n1)),sum(pred(n1),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n1),succ(n1)))
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2200,f255]) ).
fof(f2222,plain,
( sum(sum(pred(n4),n2),sum(pred(n1),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n1),n2))
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2221,f201]) ).
fof(f2223,plain,
( sum(sum(pred(n4),n2),sum(n0,succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(n0,n2))
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2222,f190]) ).
fof(f2224,plain,
( sum(sum(pred(n4),n2),sum(n0,succ(n4))) != sum(sum(pred(n4),succ(n4)),n2)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2223,f178]) ).
fof(f2225,plain,
( sum(sum(pred(n4),n2),sum(n0,n5)) != sum(sum(pred(n4),n5),n2)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2224,f198]) ).
fof(f2226,plain,
( sum(sum(n3,n2),sum(n0,n5)) != sum(sum(n3,n5),n2)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2225,f187]) ).
fof(f2227,plain,
( sum(n8,n2) != sum(sum(n3,n2),sum(n0,n5))
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2226,f142]) ).
fof(f2228,plain,
( sum(n8,n2) != sum(sum(n3,n2),n5)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2227,f175]) ).
fof(f2229,plain,
( sum(n5,n5) != sum(n8,n2)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2228,f145]) ).
fof(f2230,plain,
( n10 != sum(n5,n5)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2229,f90]) ).
fof(f2231,plain,
( $false
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f2230,f120]) ).
fof(f2232,plain,
( ~ spl2_5
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f2231]) ).
fof(f2237,plain,
( sum(sum(pred(n4),succ(n6)),sum(pred(n6),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n6),succ(n6)))
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2200,f275]) ).
fof(f2238,plain,
( sum(sum(pred(n4),n7),sum(pred(n6),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n6),n7))
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2237,f196]) ).
fof(f2239,plain,
( sum(sum(pred(n4),n7),sum(n5,succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(n5,n7))
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2238,f185]) ).
fof(f2240,plain,
( sum(sum(pred(n4),n7),sum(n5,succ(n4))) != sum(sum(pred(n4),succ(n4)),n1)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2239,f118]) ).
fof(f2241,plain,
( sum(sum(pred(n4),n7),sum(n5,n5)) != sum(sum(pred(n4),n5),n1)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2240,f198]) ).
fof(f2242,plain,
( sum(sum(n3,n7),sum(n5,n5)) != sum(sum(n3,n5),n1)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2241,f187]) ).
fof(f2243,plain,
( sum(n8,n1) != sum(sum(n3,n7),sum(n5,n5))
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2242,f142]) ).
fof(f2244,plain,
( sum(n8,n1) != sum(sum(n3,n7),n10)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2243,f120]) ).
fof(f2245,plain,
( sum(n8,n1) != sum(n10,n10)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2244,f140]) ).
fof(f2246,plain,
( n9 != sum(n8,n1)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2245,f60]) ).
fof(f2247,plain,
( $false
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f2246,f91]) ).
fof(f2248,plain,
( ~ spl2_5
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f2247]) ).
fof(f2252,plain,
( sum(sum(pred(n4),succ(n10)),sum(pred(n10),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n10),succ(n10)))
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2200,f291]) ).
fof(f2253,plain,
( sum(sum(pred(n4),n0),sum(pred(n10),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(n10),n0))
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2252,f192]) ).
fof(f2254,plain,
( sum(sum(pred(n4),n0),sum(n9,succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(n9,n0))
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2253,f181]) ).
fof(f2255,plain,
( sum(sum(pred(n4),n0),sum(n9,succ(n4))) != sum(sum(pred(n4),succ(n4)),n9)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2254,f81]) ).
fof(f2256,plain,
( sum(sum(pred(n4),n0),sum(n9,n5)) != sum(sum(pred(n4),n5),n9)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2255,f198]) ).
fof(f2257,plain,
( sum(sum(n3,n0),sum(n9,n5)) != sum(sum(n3,n5),n9)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2256,f187]) ).
fof(f2258,plain,
( sum(n8,n9) != sum(sum(n3,n0),sum(n9,n5))
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2257,f142]) ).
fof(f2259,plain,
( sum(n8,n9) != sum(sum(n3,n0),n3)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2258,f76]) ).
fof(f2260,plain,
( sum(n3,n3) != sum(n8,n9)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2259,f147]) ).
fof(f2261,plain,
( n6 != sum(n3,n3)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2260,f83]) ).
fof(f2262,plain,
( $false
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f2261,f144]) ).
fof(f2263,plain,
( ~ spl2_5
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f2262]) ).
fof(f2270,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1)))
| ~ spl2_6 ),
inference(superposition,[],[f59,f226]) ).
fof(f2276,plain,
( sum(sum(pred(n5),succ(n8)),sum(pred(n8),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n8),succ(n8)))
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2270,f283]) ).
fof(f2277,plain,
( sum(sum(pred(n5),n9),sum(pred(n8),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n8),n9))
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2276,f194]) ).
fof(f2278,plain,
( sum(sum(pred(n5),n9),sum(n7,succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(n7,n9))
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2277,f183]) ).
fof(f2279,plain,
( sum(sum(pred(n5),n9),sum(n7,succ(n5))) != sum(sum(pred(n5),succ(n5)),n5)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2278,f94]) ).
fof(f2280,plain,
( sum(sum(pred(n5),n9),sum(n7,n6)) != sum(sum(pred(n5),n6),n5)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2279,f197]) ).
fof(f2281,plain,
( sum(sum(n4,n9),sum(n7,n6)) != sum(sum(n4,n6),n5)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2280,f186]) ).
fof(f2282,plain,
( sum(n10,n5) != sum(sum(n4,n9),sum(n7,n6))
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2281,f130]) ).
fof(f2283,plain,
( sum(n10,n5) != sum(sum(n4,n9),n2)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2282,f97]) ).
fof(f2284,plain,
( sum(n2,n2) != sum(n10,n5)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2283,f127]) ).
fof(f2285,plain,
( n4 != sum(n2,n2)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2284,f65]) ).
fof(f2286,plain,
( $false
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2285,f156]) ).
fof(f2287,plain,
( ~ spl2_6
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f2286]) ).
fof(f2293,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_3 ),
inference(superposition,[],[f59,f214]) ).
fof(f2298,plain,
( sum(sum(pred(n2),succ(n8)),sum(pred(n8),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n8),succ(n8)))
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2293,f283]) ).
fof(f2299,plain,
( sum(sum(pred(n2),n9),sum(pred(n8),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n8),n9))
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2298,f194]) ).
fof(f2300,plain,
( sum(sum(pred(n2),n9),sum(n7,succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(n7,n9))
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2299,f183]) ).
fof(f2301,plain,
( sum(sum(pred(n2),n9),sum(n7,succ(n2))) != sum(sum(pred(n2),succ(n2)),n5)
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2300,f94]) ).
fof(f2302,plain,
( sum(sum(pred(n2),n9),sum(n7,n3)) != sum(sum(pred(n2),n3),n5)
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2301,f200]) ).
fof(f2303,plain,
( sum(sum(n1,n9),sum(n7,n3)) != sum(sum(n1,n3),n5)
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2302,f189]) ).
fof(f2304,plain,
( sum(n4,n5) != sum(sum(n1,n9),sum(n7,n3))
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2303,f166]) ).
fof(f2305,plain,
( sum(n4,n5) != sum(sum(n1,n9),n10)
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2304,f100]) ).
fof(f2306,plain,
( sum(n4,n5) != sum(n10,n10)
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2305,f160]) ).
fof(f2307,plain,
( n9 != sum(n4,n5)
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2306,f60]) ).
fof(f2308,plain,
( $false
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2307,f131]) ).
fof(f2309,plain,
( ~ spl2_3
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f2308]) ).
fof(f2316,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1)))
| ~ spl2_1 ),
inference(superposition,[],[f59,f206]) ).
fof(f2321,plain,
( sum(sum(pred(n0),succ(n8)),sum(pred(n8),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n8),succ(n8)))
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2316,f283]) ).
fof(f2322,plain,
( sum(sum(pred(n0),n9),sum(pred(n8),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n8),n9))
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2321,f194]) ).
fof(f2323,plain,
( sum(sum(pred(n0),n9),sum(n7,succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(n7,n9))
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2322,f183]) ).
fof(f2324,plain,
( sum(sum(pred(n0),n9),sum(n7,succ(n0))) != sum(sum(pred(n0),succ(n0)),n5)
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2323,f94]) ).
fof(f2325,plain,
( sum(sum(pred(n0),n9),sum(n7,n1)) != sum(sum(pred(n0),n1),n5)
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2324,f202]) ).
fof(f2326,plain,
( sum(sum(n10,n9),sum(n7,n1)) != sum(sum(n10,n1),n5)
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2325,f191]) ).
fof(f2327,plain,
( sum(n0,n5) != sum(sum(n10,n9),sum(n7,n1))
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2326,f69]) ).
fof(f2328,plain,
( sum(n0,n5) != sum(sum(n10,n9),n8)
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2327,f102]) ).
fof(f2329,plain,
( sum(n0,n5) != sum(n8,n8)
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2328,f61]) ).
fof(f2330,plain,
( n5 != sum(n0,n5)
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2329,f84]) ).
fof(f2331,plain,
( $false
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2330,f175]) ).
fof(f2332,plain,
( ~ spl2_1
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f2331]) ).
fof(f2340,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1)))
| ~ spl2_6 ),
inference(superposition,[],[f59,f226]) ).
fof(f2345,plain,
( sum(sum(pred(n5),succ(n10)),sum(pred(n10),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n10),succ(n10)))
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2340,f291]) ).
fof(f2346,plain,
( sum(sum(pred(n5),n0),sum(pred(n10),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n10),n0))
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2345,f192]) ).
fof(f2347,plain,
( sum(sum(pred(n5),n0),sum(n9,succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(n9,n0))
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2346,f181]) ).
fof(f2348,plain,
( sum(sum(pred(n5),n0),sum(n9,succ(n5))) != sum(sum(pred(n5),succ(n5)),n9)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2347,f81]) ).
fof(f2349,plain,
( sum(sum(pred(n5),n0),sum(n9,n6)) != sum(sum(pred(n5),n6),n9)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2348,f197]) ).
fof(f2350,plain,
( sum(sum(n4,n0),sum(n9,n6)) != sum(sum(n4,n6),n9)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2349,f186]) ).
fof(f2351,plain,
( sum(n10,n9) != sum(sum(n4,n0),sum(n9,n6))
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2350,f130]) ).
fof(f2352,plain,
( sum(n10,n9) != sum(sum(n4,n0),n4)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2351,f75]) ).
fof(f2353,plain,
( sum(n4,n4) != sum(n10,n9)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2352,f136]) ).
fof(f2354,plain,
( n8 != sum(n4,n4)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2353,f61]) ).
fof(f2355,plain,
( $false
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f2354,f132]) ).
fof(f2356,plain,
( ~ spl2_6
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f2355]) ).
fof(f2360,plain,
( sum(sum(pred(n5),succ(n1)),sum(pred(n1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n1),succ(n1)))
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2340,f255]) ).
fof(f2361,plain,
( sum(sum(pred(n5),n2),sum(pred(n1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n1),n2))
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2360,f201]) ).
fof(f2362,plain,
( sum(sum(pred(n5),n2),sum(n0,succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(n0,n2))
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2361,f190]) ).
fof(f2363,plain,
( sum(sum(pred(n5),n2),sum(n0,succ(n5))) != sum(sum(pred(n5),succ(n5)),n2)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2362,f178]) ).
fof(f2364,plain,
( sum(sum(pred(n5),n2),sum(n0,n6)) != sum(sum(pred(n5),n6),n2)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2363,f197]) ).
fof(f2365,plain,
( sum(sum(n4,n2),sum(n0,n6)) != sum(sum(n4,n6),n2)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2364,f186]) ).
fof(f2366,plain,
( sum(n10,n2) != sum(sum(n4,n2),sum(n0,n6))
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2365,f130]) ).
fof(f2367,plain,
( sum(n10,n2) != sum(sum(n4,n2),n6)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2366,f174]) ).
fof(f2368,plain,
( sum(n6,n6) != sum(n10,n2)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2367,f134]) ).
fof(f2369,plain,
( n1 != sum(n6,n6)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2368,f68]) ).
fof(f2370,plain,
( $false
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f2369,f108]) ).
fof(f2371,plain,
( ~ spl2_6
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f2370]) ).
fof(f2375,plain,
( sum(sum(pred(n5),succ(n6)),sum(pred(n6),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n6),succ(n6)))
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2340,f275]) ).
fof(f2376,plain,
( sum(sum(pred(n5),n7),sum(pred(n6),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(n6),n7))
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2375,f196]) ).
fof(f2377,plain,
( sum(sum(pred(n5),n7),sum(n5,succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(n5,n7))
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2376,f185]) ).
fof(f2378,plain,
( sum(sum(pred(n5),n7),sum(n5,succ(n5))) != sum(sum(pred(n5),succ(n5)),n1)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2377,f118]) ).
fof(f2379,plain,
( sum(sum(pred(n5),n7),sum(n5,n6)) != sum(sum(pred(n5),n6),n1)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2378,f197]) ).
fof(f2380,plain,
( sum(sum(n4,n7),sum(n5,n6)) != sum(sum(n4,n6),n1)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2379,f186]) ).
fof(f2381,plain,
( sum(n10,n1) != sum(sum(n4,n7),sum(n5,n6))
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2380,f130]) ).
fof(f2382,plain,
( sum(n10,n1) != sum(sum(n4,n7),n0)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2381,f119]) ).
fof(f2383,plain,
( sum(n0,n0) != sum(n10,n1)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2382,f129]) ).
fof(f2384,plain,
( n0 != sum(n0,n0)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2383,f69]) ).
fof(f2385,plain,
( $false
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f2384,f180]) ).
fof(f2386,plain,
( ~ spl2_6
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f2385]) ).
fof(f2396,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1)))
| ~ spl2_1 ),
inference(superposition,[],[f59,f206]) ).
fof(f2401,plain,
( sum(sum(pred(n0),succ(n1)),sum(pred(n1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n1),succ(n1)))
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2396,f255]) ).
fof(f2402,plain,
( sum(sum(pred(n0),n2),sum(pred(n1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n1),n2))
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2401,f201]) ).
fof(f2403,plain,
( sum(sum(pred(n0),n2),sum(n0,succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(n0,n2))
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2402,f190]) ).
fof(f2404,plain,
( sum(sum(pred(n0),n2),sum(n0,succ(n0))) != sum(sum(pred(n0),succ(n0)),n2)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2403,f178]) ).
fof(f2405,plain,
( sum(sum(pred(n0),n2),sum(n0,n1)) != sum(sum(pred(n0),n1),n2)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2404,f202]) ).
fof(f2406,plain,
( sum(sum(n10,n2),sum(n0,n1)) != sum(sum(n10,n1),n2)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2405,f191]) ).
fof(f2407,plain,
( sum(n0,n2) != sum(sum(n10,n2),sum(n0,n1))
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2406,f69]) ).
fof(f2408,plain,
( sum(n0,n2) != sum(sum(n10,n2),n1)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2407,f179]) ).
fof(f2409,plain,
( sum(n0,n2) != sum(n1,n1)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2408,f68]) ).
fof(f2410,plain,
( n2 != sum(n0,n2)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2409,f168]) ).
fof(f2411,plain,
( $false
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f2410,f178]) ).
fof(f2412,plain,
( ~ spl2_1
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f2411]) ).
fof(f2418,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_3 ),
inference(superposition,[],[f59,f214]) ).
fof(f2424,plain,
( sum(sum(pred(n2),succ(n1)),sum(pred(n1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n1),succ(n1)))
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2418,f255]) ).
fof(f2425,plain,
( sum(sum(pred(n2),n2),sum(pred(n1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n1),n2))
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2424,f201]) ).
fof(f2426,plain,
( sum(sum(pred(n2),n2),sum(n0,succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(n0,n2))
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2425,f190]) ).
fof(f2427,plain,
( sum(sum(pred(n2),n2),sum(n0,succ(n2))) != sum(sum(pred(n2),succ(n2)),n2)
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2426,f178]) ).
fof(f2428,plain,
( sum(sum(pred(n2),n2),sum(n0,n3)) != sum(sum(pred(n2),n3),n2)
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2427,f200]) ).
fof(f2429,plain,
( sum(sum(n1,n2),sum(n0,n3)) != sum(sum(n1,n3),n2)
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2428,f189]) ).
fof(f2430,plain,
( sum(n4,n2) != sum(sum(n1,n2),sum(n0,n3))
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2429,f166]) ).
fof(f2431,plain,
( sum(n4,n2) != sum(sum(n1,n2),n3)
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2430,f177]) ).
fof(f2432,plain,
( sum(n3,n3) != sum(n4,n2)
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2431,f167]) ).
fof(f2433,plain,
( n6 != sum(n3,n3)
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2432,f134]) ).
fof(f2434,plain,
( $false
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f2433,f144]) ).
fof(f2435,plain,
( ~ spl2_3
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f2434]) ).
fof(f2443,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1)))
| ~ spl2_1 ),
inference(superposition,[],[f59,f206]) ).
fof(f2448,plain,
( sum(sum(pred(n0),succ(n10)),sum(pred(n10),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n10),succ(n10)))
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2443,f291]) ).
fof(f2449,plain,
( sum(sum(pred(n0),n0),sum(pred(n10),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n10),n0))
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2448,f192]) ).
fof(f2450,plain,
( sum(sum(pred(n0),n0),sum(n9,succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(n9,n0))
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2449,f181]) ).
fof(f2451,plain,
( sum(sum(pred(n0),n0),sum(n9,succ(n0))) != sum(sum(pred(n0),succ(n0)),n9)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2450,f81]) ).
fof(f2452,plain,
( sum(sum(pred(n0),n0),sum(n9,n1)) != sum(sum(pred(n0),n1),n9)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2451,f202]) ).
fof(f2453,plain,
( sum(sum(n10,n0),sum(n9,n1)) != sum(sum(n10,n1),n9)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2452,f191]) ).
fof(f2454,plain,
( sum(n0,n9) != sum(sum(n10,n0),sum(n9,n1))
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2453,f69]) ).
fof(f2455,plain,
( sum(n0,n9) != sum(sum(n10,n0),n10)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2454,f80]) ).
fof(f2456,plain,
( sum(n0,n9) != sum(n10,n10)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2455,f70]) ).
fof(f2457,plain,
( n9 != sum(n0,n9)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2456,f60]) ).
fof(f2458,plain,
( $false
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f2457,f171]) ).
fof(f2459,plain,
( ~ spl2_1
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f2458]) ).
fof(f2463,plain,
( sum(sum(pred(n0),succ(n6)),sum(pred(n6),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n6),succ(n6)))
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2443,f275]) ).
fof(f2464,plain,
( sum(sum(pred(n0),n7),sum(pred(n6),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n6),n7))
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2463,f196]) ).
fof(f2465,plain,
( sum(sum(pred(n0),n7),sum(n5,succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(n5,n7))
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2464,f185]) ).
fof(f2466,plain,
( sum(sum(pred(n0),n7),sum(n5,succ(n0))) != sum(sum(pred(n0),succ(n0)),n1)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2465,f118]) ).
fof(f2467,plain,
( sum(sum(pred(n0),n7),sum(n5,n1)) != sum(sum(pred(n0),n1),n1)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2466,f202]) ).
fof(f2468,plain,
( sum(sum(n10,n7),sum(n5,n1)) != sum(sum(n10,n1),n1)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2467,f191]) ).
fof(f2469,plain,
( sum(n0,n1) != sum(sum(n10,n7),sum(n5,n1))
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2468,f69]) ).
fof(f2470,plain,
( sum(n0,n1) != sum(sum(n10,n7),n6)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2469,f124]) ).
fof(f2471,plain,
( sum(n0,n1) != sum(n6,n6)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2470,f63]) ).
fof(f2472,plain,
( n1 != sum(n0,n1)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2471,f108]) ).
fof(f2473,plain,
( $false
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f2472,f179]) ).
fof(f2474,plain,
( ~ spl2_1
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f2473]) ).
fof(f2480,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_3 ),
inference(superposition,[],[f59,f214]) ).
fof(f2486,plain,
( sum(sum(pred(n2),succ(n6)),sum(pred(n6),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n6),succ(n6)))
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2480,f275]) ).
fof(f2487,plain,
( sum(sum(pred(n2),n7),sum(pred(n6),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n6),n7))
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2486,f196]) ).
fof(f2488,plain,
( sum(sum(pred(n2),n7),sum(n5,succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(n5,n7))
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2487,f185]) ).
fof(f2489,plain,
( sum(sum(pred(n2),n7),sum(n5,succ(n2))) != sum(sum(pred(n2),succ(n2)),n1)
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2488,f118]) ).
fof(f2490,plain,
( sum(sum(pred(n2),n7),sum(n5,n3)) != sum(sum(pred(n2),n3),n1)
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2489,f200]) ).
fof(f2491,plain,
( sum(sum(n1,n7),sum(n5,n3)) != sum(sum(n1,n3),n1)
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2490,f189]) ).
fof(f2492,plain,
( sum(n4,n1) != sum(sum(n1,n7),sum(n5,n3))
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2491,f166]) ).
fof(f2493,plain,
( sum(n4,n1) != sum(sum(n1,n7),n8)
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2492,f122]) ).
fof(f2494,plain,
( sum(n4,n1) != sum(n8,n8)
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2493,f162]) ).
fof(f2495,plain,
( n5 != sum(n4,n1)
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2494,f84]) ).
fof(f2496,plain,
( $false
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f2495,f135]) ).
fof(f2497,plain,
( ~ spl2_3
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f2496]) ).
fof(f2500,plain,
( sum(sum(pred(n2),succ(n10)),sum(pred(n10),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n10),succ(n10)))
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2480,f291]) ).
fof(f2501,plain,
( sum(sum(pred(n2),n0),sum(pred(n10),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n10),n0))
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2500,f192]) ).
fof(f2502,plain,
( sum(sum(pred(n2),n0),sum(n9,succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(n9,n0))
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2501,f181]) ).
fof(f2503,plain,
( sum(sum(pred(n2),n0),sum(n9,succ(n2))) != sum(sum(pred(n2),succ(n2)),n9)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2502,f81]) ).
fof(f2504,plain,
( sum(sum(pred(n2),n0),sum(n9,n3)) != sum(sum(pred(n2),n3),n9)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2503,f200]) ).
fof(f2505,plain,
( sum(sum(n1,n0),sum(n9,n3)) != sum(sum(n1,n3),n9)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2504,f189]) ).
fof(f2506,plain,
( sum(n4,n9) != sum(sum(n1,n0),sum(n9,n3))
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2505,f166]) ).
fof(f2507,plain,
( sum(n4,n9) != sum(sum(n1,n0),n1)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2506,f78]) ).
fof(f2508,plain,
( sum(n1,n1) != sum(n4,n9)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2507,f169]) ).
fof(f2509,plain,
( n2 != sum(n1,n1)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2508,f127]) ).
fof(f2510,plain,
( $false
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f2509,f168]) ).
fof(f2511,plain,
( ~ spl2_3
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f2510]) ).
cnf(s1,plain,
( spl2_1
| spl2_2
| spl2_3
| spl2_4
| spl2_5
| spl2_6
| spl2_7
| spl2_8
| spl2_9
| spl2_10
| spl2_11 ),
inference(sat_conversion,[],[f247]) ).
cnf(s2,plain,
( spl2_12
| spl2_13
| spl2_14
| spl2_15
| spl2_16
| spl2_17
| spl2_18
| spl2_19
| spl2_20
| spl2_21
| spl2_22 ),
inference(sat_conversion,[],[f292]) ).
cnf(s4,plain,
( ~ spl2_2
| ~ spl2_12 ),
inference(sat_conversion,[],[f318]) ).
cnf(s5,plain,
( ~ spl2_2
| ~ spl2_13 ),
inference(sat_conversion,[],[f321]) ).
cnf(s6,plain,
( ~ spl2_2
| ~ spl2_14 ),
inference(sat_conversion,[],[f333]) ).
cnf(s7,plain,
( ~ spl2_2
| ~ spl2_15 ),
inference(sat_conversion,[],[f345]) ).
cnf(s8,plain,
( ~ spl2_2
| ~ spl2_16 ),
inference(sat_conversion,[],[f357]) ).
cnf(s9,plain,
( ~ spl2_2
| ~ spl2_17 ),
inference(sat_conversion,[],[f369]) ).
cnf(s10,plain,
( ~ spl2_2
| ~ spl2_18 ),
inference(sat_conversion,[],[f381]) ).
cnf(s11,plain,
( ~ spl2_2
| ~ spl2_19 ),
inference(sat_conversion,[],[f393]) ).
cnf(s12,plain,
( ~ spl2_2
| ~ spl2_20 ),
inference(sat_conversion,[],[f405]) ).
cnf(s13,plain,
( ~ spl2_2
| ~ spl2_21 ),
inference(sat_conversion,[],[f417]) ).
cnf(s14,plain,
( ~ spl2_2
| ~ spl2_22 ),
inference(sat_conversion,[],[f429]) ).
cnf(s15,plain,
( ~ spl2_9
| ~ spl2_15 ),
inference(sat_conversion,[],[f443]) ).
cnf(s16,plain,
( ~ spl2_6
| ~ spl2_15 ),
inference(sat_conversion,[],[f458]) ).
cnf(s17,plain,
( ~ spl2_1
| ~ spl2_15 ),
inference(sat_conversion,[],[f474]) ).
cnf(s18,plain,
( ~ spl2_7
| ~ spl2_15 ),
inference(sat_conversion,[],[f491]) ).
cnf(s19,plain,
( ~ spl2_5
| ~ spl2_15 ),
inference(sat_conversion,[],[f509]) ).
cnf(s20,plain,
( ~ spl2_4
| ~ spl2_15 ),
inference(sat_conversion,[],[f519]) ).
cnf(s21,plain,
( ~ spl2_3
| ~ spl2_15 ),
inference(sat_conversion,[],[f539]) ).
cnf(s22,plain,
( ~ spl2_8
| ~ spl2_15 ),
inference(sat_conversion,[],[f560]) ).
cnf(s23,plain,
( ~ spl2_10
| ~ spl2_15 ),
inference(sat_conversion,[],[f582]) ).
cnf(s24,plain,
( ~ spl2_11
| ~ spl2_15 ),
inference(sat_conversion,[],[f605]) ).
cnf(s25,plain,
( ~ spl2_8
| ~ spl2_17 ),
inference(sat_conversion,[],[f627]) ).
cnf(s26,plain,
( ~ spl2_8
| ~ spl2_21 ),
inference(sat_conversion,[],[f639]) ).
cnf(s27,plain,
( ~ spl2_8
| ~ spl2_13 ),
inference(sat_conversion,[],[f652]) ).
cnf(s28,plain,
( ~ spl2_8
| ~ spl2_19 ),
inference(sat_conversion,[],[f656]) ).
cnf(s29,plain,
( ~ spl2_8
| ~ spl2_18 ),
inference(sat_conversion,[],[f670]) ).
cnf(s30,plain,
( ~ spl2_8
| ~ spl2_12 ),
inference(sat_conversion,[],[f685]) ).
cnf(s31,plain,
( ~ spl2_8
| ~ spl2_22 ),
inference(sat_conversion,[],[f700]) ).
cnf(s32,plain,
( ~ spl2_8
| ~ spl2_16 ),
inference(sat_conversion,[],[f715]) ).
cnf(s33,plain,
( ~ spl2_8
| ~ spl2_20 ),
inference(sat_conversion,[],[f731]) ).
cnf(s34,plain,
( ~ spl2_8
| ~ spl2_14 ),
inference(sat_conversion,[],[f748]) ).
cnf(s35,plain,
( ~ spl2_9
| ~ spl2_17 ),
inference(sat_conversion,[],[f775]) ).
cnf(s36,plain,
( ~ spl2_3
| ~ spl2_17 ),
inference(sat_conversion,[],[f797]) ).
cnf(s37,plain,
( ~ spl2_10
| ~ spl2_17 ),
inference(sat_conversion,[],[f819]) ).
cnf(s38,plain,
( ~ spl2_7
| ~ spl2_17 ),
inference(sat_conversion,[],[f841]) ).
cnf(s39,plain,
( ~ spl2_1
| ~ spl2_17 ),
inference(sat_conversion,[],[f863]) ).
cnf(s40,plain,
( ~ spl2_6
| ~ spl2_17 ),
inference(sat_conversion,[],[f876]) ).
cnf(s41,plain,
( ~ spl2_4
| ~ spl2_17 ),
inference(sat_conversion,[],[f898]) ).
cnf(s42,plain,
( ~ spl2_11
| ~ spl2_17 ),
inference(sat_conversion,[],[f921]) ).
cnf(s43,plain,
( ~ spl2_5
| ~ spl2_17 ),
inference(sat_conversion,[],[f944]) ).
cnf(s44,plain,
( ~ spl2_9
| ~ spl2_18 ),
inference(sat_conversion,[],[f970]) ).
cnf(s45,plain,
( ~ spl2_9
| ~ spl2_22 ),
inference(sat_conversion,[],[f985]) ).
cnf(s46,plain,
( ~ spl2_9
| ~ spl2_19 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s47,plain,
( ~ spl2_9
| ~ spl2_14 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s48,plain,
( ~ spl2_9
| ~ spl2_12 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s49,plain,
( ~ spl2_9
| ~ spl2_13 ),
inference(sat_conversion,[],[f1050]) ).
cnf(s50,plain,
( ~ spl2_9
| ~ spl2_20 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s51,plain,
( ~ spl2_9
| ~ spl2_16 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s52,plain,
( ~ spl2_9
| ~ spl2_21 ),
inference(sat_conversion,[],[f1090]) ).
cnf(s53,plain,
( ~ spl2_4
| ~ spl2_19 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s54,plain,
( ~ spl2_5
| ~ spl2_19 ),
inference(sat_conversion,[],[f1138]) ).
cnf(s55,plain,
( ~ spl2_1
| ~ spl2_19 ),
inference(sat_conversion,[],[f1161]) ).
cnf(s56,plain,
( ~ spl2_7
| ~ spl2_19 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s57,plain,
( ~ spl2_3
| ~ spl2_19 ),
inference(sat_conversion,[],[f1207]) ).
cnf(s58,plain,
( ~ spl2_11
| ~ spl2_19 ),
inference(sat_conversion,[],[f1230]) ).
cnf(s59,plain,
( ~ spl2_10
| ~ spl2_19 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s60,plain,
( ~ spl2_6
| ~ spl2_19 ),
inference(sat_conversion,[],[f1276]) ).
cnf(s61,plain,
( ~ spl2_10
| ~ spl2_18 ),
inference(sat_conversion,[],[f1302]) ).
cnf(s62,plain,
( ~ spl2_10
| ~ spl2_21 ),
inference(sat_conversion,[],[f1309]) ).
cnf(s63,plain,
( ~ spl2_10
| ~ spl2_12 ),
inference(sat_conversion,[],[f1326]) ).
cnf(s64,plain,
( ~ spl2_10
| ~ spl2_13 ),
inference(sat_conversion,[],[f1343]) ).
cnf(s65,plain,
( ~ spl2_10
| ~ spl2_14 ),
inference(sat_conversion,[],[f1359]) ).
cnf(s66,plain,
( ~ spl2_10
| ~ spl2_22 ),
inference(sat_conversion,[],[f1374]) ).
cnf(s67,plain,
( ~ spl2_10
| ~ spl2_20 ),
inference(sat_conversion,[],[f1389]) ).
cnf(s68,plain,
( ~ spl2_10
| ~ spl2_16 ),
inference(sat_conversion,[],[f1405]) ).
cnf(s69,plain,
( ~ spl2_7
| ~ spl2_21 ),
inference(sat_conversion,[],[f1430]) ).
cnf(s70,plain,
( ~ spl2_6
| ~ spl2_21 ),
inference(sat_conversion,[],[f1453]) ).
cnf(s71,plain,
( ~ spl2_4
| ~ spl2_21 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s72,plain,
( ~ spl2_3
| ~ spl2_21 ),
inference(sat_conversion,[],[f1499]) ).
cnf(s73,plain,
( ~ spl2_5
| ~ spl2_21 ),
inference(sat_conversion,[],[f1522]) ).
cnf(s74,plain,
( ~ spl2_11
| ~ spl2_21 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s75,plain,
( ~ spl2_1
| ~ spl2_21 ),
inference(sat_conversion,[],[f1568]) ).
cnf(s76,plain,
( ~ spl2_11
| ~ spl2_18 ),
inference(sat_conversion,[],[f1594]) ).
cnf(s77,plain,
( ~ spl2_11
| ~ spl2_14 ),
inference(sat_conversion,[],[f1611]) ).
cnf(s78,plain,
( ~ spl2_11
| ~ spl2_13 ),
inference(sat_conversion,[],[f1628]) ).
cnf(s79,plain,
( ~ spl2_11
| ~ spl2_22 ),
inference(sat_conversion,[],[f1636]) ).
cnf(s80,plain,
( ~ spl2_11
| ~ spl2_12 ),
inference(sat_conversion,[],[f1654]) ).
cnf(s81,plain,
( ~ spl2_11
| ~ spl2_16 ),
inference(sat_conversion,[],[f1672]) ).
cnf(s82,plain,
( ~ spl2_11
| ~ spl2_20 ),
inference(sat_conversion,[],[f1689]) ).
cnf(s83,plain,
( ~ spl2_4
| ~ spl2_12 ),
inference(sat_conversion,[],[f1716]) ).
cnf(s84,plain,
( ~ spl2_6
| ~ spl2_12 ),
inference(sat_conversion,[],[f1738]) ).
cnf(s85,plain,
( ~ spl2_1
| ~ spl2_12 ),
inference(sat_conversion,[],[f1752]) ).
cnf(s86,plain,
( ~ spl2_7
| ~ spl2_12 ),
inference(sat_conversion,[],[f1775]) ).
cnf(s87,plain,
( ~ spl2_5
| ~ spl2_12 ),
inference(sat_conversion,[],[f1798]) ).
cnf(s88,plain,
( ~ spl2_3
| ~ spl2_12 ),
inference(sat_conversion,[],[f1821]) ).
cnf(s89,plain,
( ~ spl2_7
| ~ spl2_18 ),
inference(sat_conversion,[],[f1838]) ).
cnf(s90,plain,
( ~ spl2_7
| ~ spl2_14 ),
inference(sat_conversion,[],[f1854]) ).
cnf(s91,plain,
( ~ spl2_7
| ~ spl2_22 ),
inference(sat_conversion,[],[f1869]) ).
cnf(s92,plain,
( ~ spl2_7
| ~ spl2_16 ),
inference(sat_conversion,[],[f1885]) ).
cnf(s93,plain,
( ~ spl2_7
| ~ spl2_20 ),
inference(sat_conversion,[],[f1901]) ).
cnf(s94,plain,
( ~ spl2_7
| ~ spl2_13 ),
inference(sat_conversion,[],[f1918]) ).
cnf(s95,plain,
( ~ spl2_3
| ~ spl2_14 ),
inference(sat_conversion,[],[f1937]) ).
cnf(s96,plain,
( ~ spl2_6
| ~ spl2_14 ),
inference(sat_conversion,[],[f1960]) ).
cnf(s97,plain,
( ~ spl2_1
| ~ spl2_14 ),
inference(sat_conversion,[],[f1983]) ).
cnf(s98,plain,
( ~ spl2_5
| ~ spl2_14 ),
inference(sat_conversion,[],[f2006]) ).
cnf(s99,plain,
( ~ spl2_4
| ~ spl2_14 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s100,plain,
( ~ spl2_4
| ~ spl2_18 ),
inference(sat_conversion,[],[f2045]) ).
cnf(s101,plain,
( ~ spl2_4
| ~ spl2_20 ),
inference(sat_conversion,[],[f2060]) ).
cnf(s102,plain,
( ~ spl2_4
| ~ spl2_22 ),
inference(sat_conversion,[],[f2074]) ).
cnf(s103,plain,
( ~ spl2_4
| ~ spl2_16 ),
inference(sat_conversion,[],[f2089]) ).
cnf(s104,plain,
( ~ spl2_4
| ~ spl2_13 ),
inference(sat_conversion,[],[f2105]) ).
cnf(s105,plain,
( ~ spl2_6
| ~ spl2_16 ),
inference(sat_conversion,[],[f2131]) ).
cnf(s106,plain,
( ~ spl2_3
| ~ spl2_16 ),
inference(sat_conversion,[],[f2154]) ).
cnf(s107,plain,
( ~ spl2_5
| ~ spl2_16 ),
inference(sat_conversion,[],[f2168]) ).
cnf(s108,plain,
( ~ spl2_1
| ~ spl2_16 ),
inference(sat_conversion,[],[f2191]) ).
cnf(s109,plain,
( ~ spl2_5
| ~ spl2_20 ),
inference(sat_conversion,[],[f2216]) ).
cnf(s110,plain,
( ~ spl2_5
| ~ spl2_13 ),
inference(sat_conversion,[],[f2232]) ).
cnf(s111,plain,
( ~ spl2_5
| ~ spl2_18 ),
inference(sat_conversion,[],[f2248]) ).
cnf(s112,plain,
( ~ spl2_5
| ~ spl2_22 ),
inference(sat_conversion,[],[f2263]) ).
cnf(s113,plain,
( ~ spl2_6
| ~ spl2_20 ),
inference(sat_conversion,[],[f2287]) ).
cnf(s114,plain,
( ~ spl2_3
| ~ spl2_20 ),
inference(sat_conversion,[],[f2309]) ).
cnf(s115,plain,
( ~ spl2_1
| ~ spl2_20 ),
inference(sat_conversion,[],[f2332]) ).
cnf(s116,plain,
( ~ spl2_6
| ~ spl2_22 ),
inference(sat_conversion,[],[f2356]) ).
cnf(s117,plain,
( ~ spl2_6
| ~ spl2_13 ),
inference(sat_conversion,[],[f2371]) ).
cnf(s118,plain,
( ~ spl2_6
| ~ spl2_18 ),
inference(sat_conversion,[],[f2386]) ).
cnf(s119,plain,
( ~ spl2_1
| ~ spl2_13 ),
inference(sat_conversion,[],[f2412]) ).
cnf(s120,plain,
( ~ spl2_3
| ~ spl2_13 ),
inference(sat_conversion,[],[f2435]) ).
cnf(s121,plain,
( ~ spl2_1
| ~ spl2_22 ),
inference(sat_conversion,[],[f2459]) ).
cnf(s122,plain,
( ~ spl2_1
| ~ spl2_18 ),
inference(sat_conversion,[],[f2474]) ).
cnf(s123,plain,
( ~ spl2_3
| ~ spl2_18 ),
inference(sat_conversion,[],[f2497]) ).
cnf(s124,plain,
( ~ spl2_3
| ~ spl2_22 ),
inference(sat_conversion,[],[f2511]) ).
cnf(s125,plain,
~ spl2_11,
inference(rat,[],[s2,s24,s42,s58,s74,s76,s77,s78,s79,s80,s81,s82]) ).
cnf(s126,plain,
~ spl2_10,
inference(rat,[],[s2,s23,s37,s59,s61,s62,s63,s64,s65,s66,s67,s68]) ).
cnf(s127,plain,
~ spl2_9,
inference(rat,[],[s2,s15,s35,s44,s45,s46,s47,s48,s49,s50,s51,s52]) ).
cnf(s128,plain,
~ spl2_8,
inference(rat,[],[s2,s22,s25,s26,s27,s28,s29,s30,s31,s32,s33,s34]) ).
cnf(s129,plain,
~ spl2_7,
inference(rat,[],[s2,s18,s38,s56,s69,s86,s89,s90,s91,s92,s93,s94]) ).
cnf(s130,plain,
~ spl2_6,
inference(rat,[],[s2,s16,s40,s60,s70,s84,s96,s105,s113,s116,s117,s118]) ).
cnf(s131,plain,
~ spl2_5,
inference(rat,[],[s2,s19,s43,s54,s73,s87,s98,s107,s109,s110,s111,s112]) ).
cnf(s132,plain,
~ spl2_4,
inference(rat,[],[s2,s20,s41,s53,s71,s83,s99,s100,s101,s102,s103,s104]) ).
cnf(s133,plain,
~ spl2_3,
inference(rat,[],[s2,s21,s36,s57,s72,s88,s95,s106,s114,s120,s123,s124]) ).
cnf(s134,plain,
~ spl2_2,
inference(rat,[],[s2,s4,s5,s6,s7,s8,s9,s10,s11,s12,s13,s14]) ).
cnf(s135,plain,
spl2_1,
inference(rat,[],[s1,s127,s130,s129,s131,s132,s128,s126,s125,s133,s134]) ).
cnf(s136,plain,
~ spl2_18,
inference(rat,[],[s122,s135]) ).
cnf(s137,plain,
~ spl2_22,
inference(rat,[],[s121,s135]) ).
cnf(s138,plain,
~ spl2_13,
inference(rat,[],[s119,s135]) ).
cnf(s139,plain,
~ spl2_20,
inference(rat,[],[s115,s135]) ).
cnf(s140,plain,
~ spl2_16,
inference(rat,[],[s108,s135]) ).
cnf(s141,plain,
~ spl2_14,
inference(rat,[],[s97,s135]) ).
cnf(s142,plain,
~ spl2_12,
inference(rat,[],[s85,s135]) ).
cnf(s143,plain,
~ spl2_21,
inference(rat,[],[s75,s135]) ).
cnf(s144,plain,
~ spl2_19,
inference(rat,[],[s55,s135]) ).
cnf(s145,plain,
~ spl2_17,
inference(rat,[],[s39,s135]) ).
cnf(s146,plain,
~ spl2_15,
inference(rat,[],[s17,s135]) ).
cnf(s147,plain,
$false,
inference(rat,[],[s2,s137,s143,s139,s144,s136,s145,s140,s146,s141,s138,s142]) ).
fof(f2512,plain,
$false,
inference(avatar_sat_refutation,[],[s147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM376+1.010 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 19:43:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.50 % (122461)Will run a generic schedule for satisfiability detection.
% 0.35/0.50 % (122471)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1757503652:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.35/0.50 % (122467)% WARNING: option uhcvi not known.
% 0.35/0.50 % (122466)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4148930903_2999 on theBenchmark for (2999ds/0Mi)
% 0.35/0.50 % (122472)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=315354258:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.35/0.50 % (122469)dis+10_1_sil=32000:sp=arity:random_seed=1138694700:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.35/0.50 % (122470)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1921324058:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.35/0.50 % (122468)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2954313074:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.35/0.50 % (122467)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=911762899:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.35/0.50 % Detected minimum model sizes of [11]
% 0.35/0.50 % Detected maximum model sizes of [max]
% 0.35/0.50 % TRYING [11]
% 0.35/0.50 % (122471)Instruction limit reached!
% 0.35/0.50 % (122471)------------------------------
% 0.35/0.50 % (122471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.50 % (122471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.50 % (122471)CaDiCaL version: 2.1.3
% 0.35/0.50 % (122471)Termination reason: Instruction limit
% 0.35/0.50 % (122471)Termination phase: Saturation
% 0.35/0.50 % (122471)Time elapsed: 0.030 s
% 0.35/0.50 % (122471)Peak memory usage: 13 MB
% 0.35/0.50 % (122471)Instructions burned: 131 (million)
% 0.35/0.50 % (122470) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-122461-122470"...
% 0.35/0.50 % (122480)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2769416:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.35/0.50 % (122469) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-122461-122469"...
% 0.35/0.50 % Detected minimum model sizes of [11]
% 0.35/0.50 % Detected maximum model sizes of [max]
% 0.35/0.50 % TRYING [11]
% 0.35/0.50 % (122467) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-122461-122467"...
% 0.35/0.50 % (122468) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-122461-122468"...
% 0.35/0.50 % (122470)...printing done.
% 0.35/0.50 % (122469)...printing done.
% 0.35/0.50 % (122470)Refutation found. Thanks to Tanya!
% 0.35/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.35/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.52 % (122470)------------------------------
% 0.35/0.52 % (122470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.52 % (122470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.52 % (122470)CaDiCaL version: 2.1.3
% 0.35/0.52 % (122470)Termination reason: Refutation
% 0.35/0.52 % (122470)Time elapsed: 0.058 s
% 0.35/0.52 % (122470)Peak memory usage: 13 MB
% 0.35/0.52 % (122470)Instructions burned: 116 (million)
% 0.35/0.52 % (122461)Success in time 0.096 s
% 0.35/0.52 % Vampire exiting
%------------------------------------------------------------------------------