%------------------------------------------------------------------------------
% File : Vampire---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/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:12:24 PM UTC 2026
% Result : Unsatisfiable 0.37s 0.94s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 1515 ( 168 unt; 22 def)
% Number of atoms : 4287 (1584 equ)
% Maximal formula atoms : 221 ( 2 avg)
% Number of connectives : 6330 (3558 ~;2350 |; 400 &)
% ( 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/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2,plain,
( succ(n0) = n1
& succ(n1) = n2
& succ(n2) = n3
& succ(n3) = n4
& succ(n4) = n5
& succ(n5) = n6
& succ(n6) = n7
& succ(n7) = n8
& succ(n8) = n9
& succ(n9) = n10
& succ(n10) = n0
& pred(n0) = n10
& pred(n1) = n0
& pred(n2) = n1
& pred(n3) = n2
& pred(n4) = n3
& pred(n5) = n4
& pred(n6) = n5
& pred(n7) = n6
& pred(n8) = n7
& pred(n9) = n8
& pred(n10) = n9
& sum(n0,n0) = n0
& sum(n0,n1) = n1
& sum(n0,n2) = n2
& sum(n0,n3) = n3
& sum(n0,n4) = n4
& sum(n0,n5) = n5
& sum(n0,n6) = n6
& sum(n0,n7) = n7
& sum(n0,n8) = n8
& sum(n0,n9) = n9
& sum(n0,n10) = n10
& sum(n1,n0) = n1
& sum(n1,n1) = n2
& sum(n1,n2) = n3
& sum(n1,n3) = n4
& sum(n1,n4) = n5
& sum(n1,n5) = n6
& sum(n1,n6) = n7
& sum(n1,n7) = n8
& sum(n1,n8) = n9
& sum(n1,n9) = n10
& sum(n1,n10) = n0
& sum(n2,n0) = n2
& sum(n2,n1) = n3
& sum(n2,n2) = n4
& sum(n2,n3) = n5
& sum(n2,n4) = n6
& sum(n2,n5) = n7
& sum(n2,n6) = n8
& sum(n2,n7) = n9
& sum(n2,n8) = n10
& sum(n2,n9) = n0
& sum(n2,n10) = n1
& sum(n3,n0) = n3
& sum(n3,n1) = n4
& sum(n3,n2) = n5
& sum(n3,n3) = n6
& sum(n3,n4) = n7
& sum(n3,n5) = n8
& sum(n3,n6) = n9
& sum(n3,n7) = n10
& sum(n3,n8) = n0
& sum(n3,n9) = n1
& sum(n3,n10) = n2
& sum(n4,n0) = n4
& sum(n4,n1) = n5
& sum(n4,n2) = n6
& sum(n4,n3) = n7
& sum(n4,n4) = n8
& sum(n4,n5) = n9
& sum(n4,n6) = n10
& sum(n4,n7) = n0
& sum(n4,n8) = n1
& sum(n4,n9) = n2
& sum(n4,n10) = n3
& sum(n5,n0) = n5
& sum(n5,n1) = n6
& sum(n5,n2) = n7
& sum(n5,n3) = n8
& sum(n5,n4) = n9
& sum(n5,n5) = n10
& sum(n5,n6) = n0
& sum(n5,n7) = n1
& sum(n5,n8) = n2
& sum(n5,n9) = n3
& sum(n5,n10) = n4
& sum(n6,n0) = n6
& sum(n6,n1) = n7
& sum(n6,n2) = n8
& sum(n6,n3) = n9
& sum(n6,n4) = n10
& sum(n6,n5) = n0
& sum(n6,n6) = n1
& sum(n6,n7) = n2
& sum(n6,n8) = n3
& sum(n6,n9) = n4
& sum(n6,n10) = n5
& sum(n7,n0) = n7
& sum(n7,n1) = n8
& sum(n7,n2) = n9
& sum(n7,n3) = n10
& sum(n7,n4) = n0
& sum(n7,n5) = n1
& sum(n7,n6) = n2
& sum(n7,n7) = n3
& sum(n7,n8) = n4
& sum(n7,n9) = n5
& sum(n7,n10) = n6
& sum(n8,n0) = n8
& sum(n8,n1) = n9
& sum(n8,n2) = n10
& sum(n8,n3) = n0
& sum(n8,n4) = n1
& sum(n8,n5) = n2
& sum(n8,n6) = n3
& sum(n8,n7) = n4
& sum(n8,n8) = n5
& sum(n8,n9) = n6
& sum(n8,n10) = n7
& sum(n9,n0) = n9
& sum(n9,n1) = n10
& sum(n9,n2) = n0
& sum(n9,n3) = n1
& sum(n9,n4) = n2
& sum(n9,n5) = n3
& sum(n9,n6) = n4
& sum(n9,n7) = n5
& sum(n9,n8) = n6
& sum(n9,n9) = n7
& sum(n9,n10) = n8
& sum(n10,n0) = n10
& sum(n10,n1) = n0
& sum(n10,n2) = n1
& sum(n10,n3) = n2
& sum(n10,n4) = n3
& sum(n10,n5) = n4
& sum(n10,n6) = n5
& sum(n10,n7) = n6
& sum(n10,n8) = n7
& sum(n10,n9) = n8
& sum(n10,n10) = n9
& ( n0 = sK0
| n1 = sK0
| n2 = sK0
| n3 = sK0
| n4 = sK0
| n5 = sK0
| n6 = sK0
| n7 = sK0
| n8 = sK0
| n9 = sK0
| n10 = sK0 )
& ( n0 = sK1
| n1 = sK1
| n2 = sK1
| n3 = sK1
| n4 = sK1
| n5 = sK1
| n6 = sK1
| n7 = sK1
| n8 = sK1
| n9 = sK1
| n10 = sK1 )
& sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
& n0 != n1
& n0 != n2
& n0 != n3
& n0 != n4
& n0 != n5
& n0 != n6
& n0 != n7
& n0 != n8
& n0 != n9
& n0 != n10
& n1 != n2
& n1 != n3
& n1 != n4
& n1 != n5
& n1 != n6
& n1 != n7
& n1 != n8
& n1 != n9
& n1 != n10
& n2 != n3
& n2 != n4
& n2 != n5
& n2 != n6
& n2 != n7
& n2 != n8
& n2 != n9
& n2 != n10
& n3 != n4
& n3 != n5
& n3 != n6
& n3 != n7
& n3 != n8
& n3 != n9
& n3 != n10
& n4 != n5
& n4 != n6
& n4 != n7
& n4 != n8
& n4 != n9
& n4 != n10
& n5 != n6
& n5 != n7
& n5 != n8
& n5 != n9
& n5 != n10
& n6 != n7
& n6 != n8
& n6 != n9
& n6 != n10
& n7 != n8
& n7 != n9
& n7 != n10
& n8 != n9
& n8 != n10
& n9 != n10 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f1]) ).
fof(f58,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,[],[f2]) ).
fof(f59,plain,
( n0 = sK1
| n1 = sK1
| n2 = sK1
| n3 = sK1
| n4 = sK1
| n5 = sK1
| n6 = sK1
| n7 = sK1
| n8 = sK1
| n9 = sK1
| n10 = sK1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f60,plain,
( n0 = sK0
| n1 = sK0
| n2 = sK0
| n3 = sK0
| n4 = sK0
| n5 = sK0
| n6 = sK0
| n7 = sK0
| n8 = sK0
| n9 = sK0
| n10 = sK0 ),
inference(cnf_transformation,[],[f2]) ).
fof(f61,plain,
n9 = sum(n10,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f62,plain,
n8 = sum(n10,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f63,plain,
n7 = sum(n10,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f64,plain,
n6 = sum(n10,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f65,plain,
n5 = sum(n10,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f66,plain,
n4 = sum(n10,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f67,plain,
n3 = sum(n10,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f68,plain,
n2 = sum(n10,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f69,plain,
n1 = sum(n10,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f70,plain,
n0 = sum(n10,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f71,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f72,plain,
n8 = sum(n9,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f73,plain,
n7 = sum(n9,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f74,plain,
n6 = sum(n9,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f75,plain,
n5 = sum(n9,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f76,plain,
n4 = sum(n9,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f77,plain,
n3 = sum(n9,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f78,plain,
n2 = sum(n9,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f79,plain,
n1 = sum(n9,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
n0 = sum(n9,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f81,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
n7 = sum(n8,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
n6 = sum(n8,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
n5 = sum(n8,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
n4 = sum(n8,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
n3 = sum(n8,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
n2 = sum(n8,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
n1 = sum(n8,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
n0 = sum(n8,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
n6 = sum(n7,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
n5 = sum(n7,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
n4 = sum(n7,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
n3 = sum(n7,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f98,plain,
n2 = sum(n7,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f99,plain,
n1 = sum(n7,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
n0 = sum(n7,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f101,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f102,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f103,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f104,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
n5 = sum(n6,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
n4 = sum(n6,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f107,plain,
n3 = sum(n6,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f108,plain,
n2 = sum(n6,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
n1 = sum(n6,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f110,plain,
n0 = sum(n6,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f111,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f112,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f113,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f114,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f115,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f116,plain,
n4 = sum(n5,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f117,plain,
n3 = sum(n5,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f118,plain,
n2 = sum(n5,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f119,plain,
n1 = sum(n5,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f120,plain,
n0 = sum(n5,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f121,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f122,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f123,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f124,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f125,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
n3 = sum(n4,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
n2 = sum(n4,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f129,plain,
n1 = sum(n4,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f130,plain,
n0 = sum(n4,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f131,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f138,plain,
n2 = sum(n3,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f139,plain,
n1 = sum(n3,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
n0 = sum(n3,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f142,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f143,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f144,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f146,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f148,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f149,plain,
n1 = sum(n2,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
n0 = sum(n2,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f151,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f152,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f153,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f154,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f155,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f157,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f160,plain,
n0 = sum(n1,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f163,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f164,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f166,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f167,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f168,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f169,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f170,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f171,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f172,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f173,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f174,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f175,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f176,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f177,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f178,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f179,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f180,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f181,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f182,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f2]) ).
fof(f183,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f2]) ).
fof(f184,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f2]) ).
fof(f185,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f2]) ).
fof(f186,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f2]) ).
fof(f190,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f2]) ).
fof(f191,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f2]) ).
fof(f192,plain,
n10 = pred(n0),
inference(cnf_transformation,[],[f2]) ).
fof(f193,plain,
n0 = succ(n10),
inference(cnf_transformation,[],[f2]) ).
fof(f194,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f2]) ).
fof(f195,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f2]) ).
fof(f196,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f2]) ).
fof(f197,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f2]) ).
fof(f198,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f2]) ).
fof(f199,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f2]) ).
fof(f200,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f2]) ).
fof(f201,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f2]) ).
fof(f202,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f2]) ).
fof(f203,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f2]) ).
fof(f205,definition,
( spl2_1
<=> n10 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f207,plain,
( n10 = sK1
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl2_2
<=> n9 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f211,plain,
( n9 = sK1
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl2_3
<=> n8 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f215,plain,
( n8 = sK1
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f217,definition,
( spl2_4
<=> n7 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f219,plain,
( n7 = sK1
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f221,definition,
( spl2_5
<=> n6 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f223,plain,
( n6 = sK1
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl2_6
<=> n5 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f227,plain,
( n5 = sK1
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f229,definition,
( spl2_7
<=> n4 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f231,plain,
( n4 = sK1
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f233,definition,
( spl2_8
<=> n3 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f235,plain,
( n3 = sK1
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f237,definition,
( spl2_9
<=> n2 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f239,plain,
( n2 = sK1
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f241,definition,
( spl2_10
<=> n1 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f243,plain,
( n1 = sK1
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f245,definition,
( spl2_11
<=> n0 = sK1 ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f247,plain,
( n0 = sK1
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,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,[],[f59,f245,f241,f237,f233,f229,f225,f221,f217,f213,f209,f205]) ).
fof(f250,definition,
( spl2_12
<=> n10 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f252,plain,
( n10 = sK0
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f254,definition,
( spl2_13
<=> n9 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f256,plain,
( n9 = sK0
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f258,definition,
( spl2_14
<=> n8 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f260,plain,
( n8 = sK0
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f262,definition,
( spl2_15
<=> n7 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f264,plain,
( n7 = sK0
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f266,definition,
( spl2_16
<=> n6 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f268,plain,
( n6 = sK0
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f270,definition,
( spl2_17
<=> n5 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f272,plain,
( n5 = sK0
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl2_18
<=> n4 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
fof(f276,plain,
( n4 = sK0
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f278,definition,
( spl2_19
<=> n3 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
fof(f280,plain,
( n3 = sK0
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f282,definition,
( spl2_20
<=> n2 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
fof(f284,plain,
( n2 = sK0
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f286,definition,
( spl2_21
<=> n1 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
fof(f288,plain,
( n1 = sK0
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f290,definition,
( spl2_22
<=> n0 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
fof(f292,plain,
( n0 = sK0
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f293,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,[],[f60,f290,f286,f282,f278,f274,f270,f266,f262,f258,f254,f250]) ).
fof(f294,plain,
( sum(sum(pred(sK0),succ(n9)),sum(pred(n9),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n9),succ(n9)))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f58,f211]) ).
fof(f295,plain,
( sum(sum(pred(sK0),n10),sum(pred(n9),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n9),n10))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f294,f194]) ).
fof(f296,plain,
( sum(sum(pred(sK0),n10),sum(n8,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n8,n10))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f295,f183]) ).
fof(f297,plain,
( sum(sum(pred(sK0),n10),sum(n8,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n7)
| ~ spl2_2 ),
inference(forward_demodulation,[],[f296,f83]) ).
fof(f298,plain,
( sum(sum(pred(n10),n10),sum(n8,succ(n10))) != sum(sum(pred(n10),succ(n10)),n7)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f297,f252]) ).
fof(f299,plain,
( sum(sum(pred(n10),n10),sum(n8,n0)) != sum(sum(pred(n10),n0),n7)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f298,f193]) ).
fof(f300,plain,
( sum(sum(n9,n10),sum(n8,n0)) != sum(sum(n9,n0),n7)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f299,f182]) ).
fof(f301,plain,
( sum(n9,n7) != sum(sum(n9,n10),sum(n8,n0))
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f300,f82]) ).
fof(f302,plain,
( sum(n9,n7) != sum(sum(n9,n10),n8)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f301,f93]) ).
fof(f303,plain,
( sum(n8,n8) != sum(n9,n7)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f302,f72]) ).
fof(f304,plain,
( n5 != sum(n8,n8)
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_demodulation,[],[f303,f75]) ).
fof(f305,plain,
( $false
| ~ spl2_2
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f304,f85]) ).
fof(f306,plain,
( ~ spl2_2
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f308,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) != sum(sum(pred(n9),succ(n9)),n7)
| ~ spl2_2
| ~ spl2_13 ),
inference(forward_demodulation,[],[f297,f256]) ).
fof(f309,plain,
( sum(sum(pred(n9),n10),sum(n8,n10)) != sum(sum(pred(n9),n10),n7)
| ~ spl2_2
| ~ spl2_13 ),
inference(forward_demodulation,[],[f308,f194]) ).
fof(f310,plain,
( sum(sum(n8,n10),sum(n8,n10)) != sum(sum(n8,n10),n7)
| ~ spl2_2
| ~ spl2_13 ),
inference(forward_demodulation,[],[f309,f183]) ).
fof(f311,plain,
( sum(n7,n7) != sum(n7,n7)
| ~ spl2_2
| ~ spl2_13 ),
inference(forward_demodulation,[],[f310,f83]) ).
fof(f312,plain,
( $false
| ~ spl2_2
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f311]) ).
fof(f313,plain,
( ~ spl2_2
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f316,plain,
( sum(sum(pred(n8),n10),sum(n8,succ(n8))) != sum(sum(pred(n8),succ(n8)),n7)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f297,f260]) ).
fof(f317,plain,
( sum(sum(pred(n8),n10),sum(n8,n9)) != sum(sum(pred(n8),n9),n7)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f316,f195]) ).
fof(f318,plain,
( sum(sum(n7,n10),sum(n8,n9)) != sum(sum(n7,n9),n7)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f317,f184]) ).
fof(f319,plain,
( sum(n5,n7) != sum(sum(n7,n10),sum(n8,n9))
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f318,f95]) ).
fof(f320,plain,
( sum(n5,n7) != sum(sum(n7,n10),n6)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f319,f84]) ).
fof(f321,plain,
( sum(n5,n7) != sum(n6,n6)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f320,f94]) ).
fof(f322,plain,
( n1 != sum(n5,n7)
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_demodulation,[],[f321,f109]) ).
fof(f323,plain,
( $false
| ~ spl2_2
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f322,f119]) ).
fof(f324,plain,
( ~ spl2_2
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f328,plain,
( sum(sum(pred(n7),n10),sum(n8,succ(n7))) != sum(sum(pred(n7),succ(n7)),n7)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f297,f264]) ).
fof(f329,plain,
( sum(sum(pred(n7),n10),sum(n8,n8)) != sum(sum(pred(n7),n8),n7)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f328,f196]) ).
fof(f330,plain,
( sum(sum(n6,n10),sum(n8,n8)) != sum(sum(n6,n8),n7)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f329,f185]) ).
fof(f331,plain,
( sum(n3,n7) != sum(sum(n6,n10),sum(n8,n8))
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f330,f107]) ).
fof(f332,plain,
( sum(n3,n7) != sum(sum(n6,n10),n5)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f331,f85]) ).
fof(f333,plain,
( sum(n3,n7) != sum(n5,n5)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f332,f105]) ).
fof(f334,plain,
( n10 != sum(n3,n7)
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_demodulation,[],[f333,f121]) ).
fof(f335,plain,
( $false
| ~ spl2_2
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f334,f141]) ).
fof(f336,plain,
( ~ spl2_2
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f341,plain,
( sum(sum(pred(n6),n10),sum(n8,succ(n6))) != sum(sum(pred(n6),succ(n6)),n7)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f297,f268]) ).
fof(f342,plain,
( sum(sum(pred(n6),n10),sum(n8,n7)) != sum(sum(pred(n6),n7),n7)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f341,f197]) ).
fof(f343,plain,
( sum(sum(n5,n10),sum(n8,n7)) != sum(sum(n5,n7),n7)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f342,f186]) ).
fof(f344,plain,
( sum(n1,n7) != sum(sum(n5,n10),sum(n8,n7))
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f343,f119]) ).
fof(f345,plain,
( sum(n1,n7) != sum(sum(n5,n10),n4)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f344,f86]) ).
fof(f346,plain,
( sum(n1,n7) != sum(n4,n4)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f345,f116]) ).
fof(f347,plain,
( n8 != sum(n1,n7)
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_demodulation,[],[f346,f133]) ).
fof(f348,plain,
( $false
| ~ spl2_2
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f347,f163]) ).
fof(f349,plain,
( ~ spl2_2
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f355,plain,
( sum(sum(pred(n5),n10),sum(n8,succ(n5))) != sum(sum(pred(n5),succ(n5)),n7)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f297,f272]) ).
fof(f356,plain,
( sum(sum(pred(n5),n10),sum(n8,n6)) != sum(sum(pred(n5),n6),n7)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f355,f198]) ).
fof(f357,plain,
( sum(sum(n4,n10),sum(n8,n6)) != sum(sum(n4,n6),n7)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f356,f187]) ).
fof(f358,plain,
( sum(n10,n7) != sum(sum(n4,n10),sum(n8,n6))
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f357,f131]) ).
fof(f359,plain,
( sum(n10,n7) != sum(sum(n4,n10),n3)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f358,f87]) ).
fof(f360,plain,
( sum(n3,n3) != sum(n10,n7)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f359,f127]) ).
fof(f361,plain,
( n6 != sum(n3,n3)
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_demodulation,[],[f360,f64]) ).
fof(f362,plain,
( $false
| ~ spl2_2
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f361,f145]) ).
fof(f363,plain,
( ~ spl2_2
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f370,plain,
( sum(sum(pred(n4),n10),sum(n8,succ(n4))) != sum(sum(pred(n4),succ(n4)),n7)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f297,f276]) ).
fof(f371,plain,
( sum(sum(pred(n4),n10),sum(n8,n5)) != sum(sum(pred(n4),n5),n7)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f370,f199]) ).
fof(f372,plain,
( sum(sum(n3,n10),sum(n8,n5)) != sum(sum(n3,n5),n7)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f371,f188]) ).
fof(f373,plain,
( sum(n8,n7) != sum(sum(n3,n10),sum(n8,n5))
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f372,f143]) ).
fof(f374,plain,
( sum(n8,n7) != sum(sum(n3,n10),n2)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f373,f88]) ).
fof(f375,plain,
( sum(n2,n2) != sum(n8,n7)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f374,f138]) ).
fof(f376,plain,
( n4 != sum(n2,n2)
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_demodulation,[],[f375,f86]) ).
fof(f377,plain,
( $false
| ~ spl2_2
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f376,f157]) ).
fof(f378,plain,
( ~ spl2_2
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f386,plain,
( sum(sum(pred(n3),n10),sum(n8,succ(n3))) != sum(sum(pred(n3),succ(n3)),n7)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f297,f280]) ).
fof(f387,plain,
( sum(sum(pred(n3),n10),sum(n8,n4)) != sum(sum(pred(n3),n4),n7)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f386,f200]) ).
fof(f388,plain,
( sum(sum(n2,n10),sum(n8,n4)) != sum(sum(n2,n4),n7)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f387,f189]) ).
fof(f389,plain,
( sum(n6,n7) != sum(sum(n2,n10),sum(n8,n4))
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f388,f155]) ).
fof(f390,plain,
( sum(n6,n7) != sum(sum(n2,n10),n1)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f389,f89]) ).
fof(f391,plain,
( sum(n1,n1) != sum(n6,n7)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f390,f149]) ).
fof(f392,plain,
( n2 != sum(n1,n1)
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_demodulation,[],[f391,f108]) ).
fof(f393,plain,
( $false
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f392,f169]) ).
fof(f394,plain,
( ~ spl2_2
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f403,plain,
( sum(sum(pred(n2),n10),sum(n8,succ(n2))) != sum(sum(pred(n2),succ(n2)),n7)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f297,f284]) ).
fof(f404,plain,
( sum(sum(pred(n2),n10),sum(n8,n3)) != sum(sum(pred(n2),n3),n7)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f403,f201]) ).
fof(f405,plain,
( sum(sum(n1,n10),sum(n8,n3)) != sum(sum(n1,n3),n7)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f404,f190]) ).
fof(f406,plain,
( sum(n4,n7) != sum(sum(n1,n10),sum(n8,n3))
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f405,f167]) ).
fof(f407,plain,
( sum(n4,n7) != sum(sum(n1,n10),n0)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f406,f90]) ).
fof(f408,plain,
( sum(n0,n0) != sum(n4,n7)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f407,f160]) ).
fof(f409,plain,
( n0 != sum(n0,n0)
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_demodulation,[],[f408,f130]) ).
fof(f410,plain,
( $false
| ~ spl2_2
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f409,f181]) ).
fof(f411,plain,
( ~ spl2_2
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f421,plain,
( sum(sum(pred(n1),n10),sum(n8,succ(n1))) != sum(sum(pred(n1),succ(n1)),n7)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f297,f288]) ).
fof(f422,plain,
( sum(sum(pred(n1),n10),sum(n8,n2)) != sum(sum(pred(n1),n2),n7)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f421,f202]) ).
fof(f423,plain,
( sum(sum(n0,n10),sum(n8,n2)) != sum(sum(n0,n2),n7)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f422,f191]) ).
fof(f424,plain,
( sum(n2,n7) != sum(sum(n0,n10),sum(n8,n2))
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f423,f179]) ).
fof(f425,plain,
( sum(n2,n7) != sum(sum(n0,n10),n10)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f424,f91]) ).
fof(f426,plain,
( sum(n2,n7) != sum(n10,n10)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f425,f171]) ).
fof(f427,plain,
( n9 != sum(n2,n7)
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_demodulation,[],[f426,f61]) ).
fof(f428,plain,
( $false
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f427,f152]) ).
fof(f429,plain,
( ~ spl2_2
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f440,plain,
( sum(sum(pred(n0),n10),sum(n8,succ(n0))) != sum(sum(pred(n0),succ(n0)),n7)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f297,f292]) ).
fof(f441,plain,
( sum(sum(pred(n0),n10),sum(n8,n1)) != sum(sum(pred(n0),n1),n7)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f440,f203]) ).
fof(f442,plain,
( sum(sum(n10,n10),sum(n8,n1)) != sum(sum(n10,n1),n7)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f441,f192]) ).
fof(f443,plain,
( sum(n0,n7) != sum(sum(n10,n10),sum(n8,n1))
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f442,f70]) ).
fof(f444,plain,
( sum(n0,n7) != sum(sum(n10,n10),n9)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f443,f92]) ).
fof(f445,plain,
( sum(n0,n7) != sum(n9,n9)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f444,f61]) ).
fof(f446,plain,
( n7 != sum(n0,n7)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f445,f73]) ).
fof(f447,plain,
( $false
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f446,f174]) ).
fof(f448,plain,
( ~ spl2_2
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f459,plain,
( sum(sum(pred(sK0),succ(n2)),sum(pred(n2),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n2),succ(n2)))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f58,f239]) ).
fof(f460,plain,
( sum(sum(pred(sK0),n3),sum(pred(n2),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n2),n3))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f459,f201]) ).
fof(f461,plain,
( sum(sum(pred(sK0),n3),sum(n1,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n1,n3))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f460,f190]) ).
fof(f462,plain,
( sum(sum(pred(sK0),n3),sum(n1,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n4)
| ~ spl2_9 ),
inference(forward_demodulation,[],[f461,f167]) ).
fof(f463,plain,
( sum(sum(pred(n7),n3),sum(n1,succ(n7))) != sum(sum(pred(n7),succ(n7)),n4)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f462,f264]) ).
fof(f464,plain,
( sum(sum(pred(n7),n3),sum(n1,n8)) != sum(sum(pred(n7),n8),n4)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f463,f196]) ).
fof(f465,plain,
( sum(sum(n6,n3),sum(n1,n8)) != sum(sum(n6,n8),n4)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f464,f185]) ).
fof(f466,plain,
( sum(n3,n4) != sum(sum(n6,n3),sum(n1,n8))
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f465,f107]) ).
fof(f467,plain,
( sum(n3,n4) != sum(sum(n6,n3),n9)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f466,f162]) ).
fof(f468,plain,
( sum(n3,n4) != sum(n9,n9)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f467,f112]) ).
fof(f469,plain,
( n7 != sum(n3,n4)
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_demodulation,[],[f468,f73]) ).
fof(f470,plain,
( $false
| ~ spl2_9
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f469,f144]) ).
fof(f471,plain,
( ~ spl2_9
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f472,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1),succ(sK1)))
| ~ spl2_15 ),
inference(forward_demodulation,[],[f58,f264]) ).
fof(f473,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),n8)) != sum(sum(pred(n7),n8),sum(pred(sK1),succ(sK1)))
| ~ spl2_15 ),
inference(forward_demodulation,[],[f472,f196]) ).
fof(f474,plain,
( sum(sum(n6,succ(sK1)),sum(pred(sK1),n8)) != sum(sum(n6,n8),sum(pred(sK1),succ(sK1)))
| ~ spl2_15 ),
inference(forward_demodulation,[],[f473,f185]) ).
fof(f475,plain,
( sum(sum(n6,succ(sK1)),sum(pred(sK1),n8)) != sum(n3,sum(pred(sK1),succ(sK1)))
| ~ spl2_15 ),
inference(forward_demodulation,[],[f474,f107]) ).
fof(f478,plain,
( sum(sum(n6,succ(n5)),sum(pred(n5),n8)) != sum(n3,sum(pred(n5),succ(n5)))
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f475,f227]) ).
fof(f479,plain,
( sum(sum(n6,n6),sum(pred(n5),n8)) != sum(n3,sum(pred(n5),n6))
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f478,f198]) ).
fof(f480,plain,
( sum(sum(n6,n6),sum(n4,n8)) != sum(n3,sum(n4,n6))
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f479,f187]) ).
fof(f481,plain,
( sum(n3,n10) != sum(sum(n6,n6),sum(n4,n8))
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f480,f131]) ).
fof(f482,plain,
( sum(n3,n10) != sum(sum(n6,n6),n1)
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f481,f129]) ).
fof(f483,plain,
( sum(n1,n1) != sum(n3,n10)
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f482,f109]) ).
fof(f484,plain,
( n2 != sum(n1,n1)
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_demodulation,[],[f483,f138]) ).
fof(f485,plain,
( $false
| ~ spl2_6
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f484,f169]) ).
fof(f486,plain,
( ~ spl2_6
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f490,plain,
( sum(sum(n6,succ(n10)),sum(pred(n10),n8)) != sum(n3,sum(pred(n10),succ(n10)))
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f475,f207]) ).
fof(f491,plain,
( sum(sum(n6,n0),sum(pred(n10),n8)) != sum(n3,sum(pred(n10),n0))
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f490,f193]) ).
fof(f492,plain,
( sum(sum(n6,n0),sum(n9,n8)) != sum(n3,sum(n9,n0))
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f491,f182]) ).
fof(f493,plain,
( sum(n3,n9) != sum(sum(n6,n0),sum(n9,n8))
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f492,f82]) ).
fof(f494,plain,
( sum(n3,n9) != sum(sum(n6,n0),n6)
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f493,f74]) ).
fof(f495,plain,
( sum(n3,n9) != sum(n6,n6)
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f494,f115]) ).
fof(f496,plain,
( n1 != sum(n3,n9)
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_demodulation,[],[f495,f109]) ).
fof(f497,plain,
( $false
| ~ spl2_1
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f496,f139]) ).
fof(f498,plain,
( ~ spl2_1
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f503,plain,
( sum(sum(n6,succ(n4)),sum(pred(n4),n8)) != sum(n3,sum(pred(n4),succ(n4)))
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f475,f231]) ).
fof(f504,plain,
( sum(sum(n6,n5),sum(pred(n4),n8)) != sum(n3,sum(pred(n4),n5))
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f503,f199]) ).
fof(f505,plain,
( sum(sum(n6,n5),sum(n3,n8)) != sum(n3,sum(n3,n5))
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f504,f188]) ).
fof(f506,plain,
( sum(n3,n8) != sum(sum(n6,n5),sum(n3,n8))
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f505,f143]) ).
fof(f507,plain,
( n0 != sum(sum(n6,n5),n0)
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f506,f140]) ).
fof(f508,plain,
( n0 != sum(n0,n0)
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_demodulation,[],[f507,f110]) ).
fof(f509,plain,
( $false
| ~ spl2_7
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f508,f181]) ).
fof(f510,plain,
( ~ spl2_7
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f516,plain,
( sum(sum(n6,succ(n6)),sum(pred(n6),n8)) != sum(n3,sum(pred(n6),succ(n6)))
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f475,f223]) ).
fof(f517,plain,
( sum(sum(n6,n7),sum(pred(n6),n8)) != sum(n3,sum(pred(n6),n7))
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f516,f197]) ).
fof(f518,plain,
( sum(sum(n6,n7),sum(n5,n8)) != sum(n3,sum(n5,n7))
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f517,f186]) ).
fof(f519,plain,
( sum(n3,n1) != sum(sum(n6,n7),sum(n5,n8))
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f518,f119]) ).
fof(f520,plain,
( sum(n3,n1) != sum(sum(n6,n7),n2)
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f519,f118]) ).
fof(f521,plain,
( sum(n2,n2) != sum(n3,n1)
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f520,f108]) ).
fof(f522,plain,
( n4 != sum(n2,n2)
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_demodulation,[],[f521,f147]) ).
fof(f523,plain,
( $false
| ~ spl2_5
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f522,f157]) ).
fof(f524,plain,
( ~ spl2_5
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f531,plain,
( sum(sum(n6,succ(n7)),sum(pred(n7),n8)) != sum(n3,sum(pred(n7),succ(n7)))
| ~ spl2_4
| ~ spl2_15 ),
inference(forward_demodulation,[],[f475,f219]) ).
fof(f532,plain,
( sum(sum(n6,n8),sum(pred(n7),n8)) != sum(n3,sum(pred(n7),n8))
| ~ spl2_4
| ~ spl2_15 ),
inference(forward_demodulation,[],[f531,f196]) ).
fof(f533,plain,
( sum(sum(n6,n8),sum(n6,n8)) != sum(n3,sum(n6,n8))
| ~ spl2_4
| ~ spl2_15 ),
inference(forward_demodulation,[],[f532,f185]) ).
fof(f534,plain,
( sum(n3,n3) != sum(n3,n3)
| ~ spl2_4
| ~ spl2_15 ),
inference(forward_demodulation,[],[f533,f107]) ).
fof(f535,plain,
( $false
| ~ spl2_4
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f534]) ).
fof(f536,plain,
( ~ spl2_4
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f535]) ).
fof(f544,plain,
( sum(sum(n6,succ(n8)),sum(pred(n8),n8)) != sum(n3,sum(pred(n8),succ(n8)))
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f475,f215]) ).
fof(f545,plain,
( sum(sum(n6,n9),sum(pred(n8),n8)) != sum(n3,sum(pred(n8),n9))
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f544,f195]) ).
fof(f546,plain,
( sum(sum(n6,n9),sum(n7,n8)) != sum(n3,sum(n7,n9))
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f545,f184]) ).
fof(f547,plain,
( sum(n3,n5) != sum(sum(n6,n9),sum(n7,n8))
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f546,f95]) ).
fof(f548,plain,
( sum(n3,n5) != sum(sum(n6,n9),n4)
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f547,f96]) ).
fof(f549,plain,
( sum(n3,n5) != sum(n4,n4)
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f548,f106]) ).
fof(f550,plain,
( n8 != sum(n3,n5)
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_demodulation,[],[f549,f133]) ).
fof(f551,plain,
( $false
| ~ spl2_3
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f550,f143]) ).
fof(f552,plain,
( ~ spl2_3
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f561,plain,
( sum(sum(n6,succ(n3)),sum(pred(n3),n8)) != sum(n3,sum(pred(n3),succ(n3)))
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f475,f235]) ).
fof(f562,plain,
( sum(sum(n6,n4),sum(pred(n3),n8)) != sum(n3,sum(pred(n3),n4))
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f561,f200]) ).
fof(f563,plain,
( sum(sum(n6,n4),sum(n2,n8)) != sum(n3,sum(n2,n4))
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f562,f189]) ).
fof(f564,plain,
( sum(n3,n6) != sum(sum(n6,n4),sum(n2,n8))
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f563,f155]) ).
fof(f565,plain,
( sum(n3,n6) != sum(sum(n6,n4),n10)
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f564,f151]) ).
fof(f566,plain,
( sum(n3,n6) != sum(n10,n10)
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f565,f111]) ).
fof(f567,plain,
( n9 != sum(n3,n6)
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_demodulation,[],[f566,f61]) ).
fof(f568,plain,
( $false
| ~ spl2_8
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f567,f142]) ).
fof(f569,plain,
( ~ spl2_8
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f579,plain,
( sum(sum(n6,succ(n1)),sum(pred(n1),n8)) != sum(n3,sum(pred(n1),succ(n1)))
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f475,f243]) ).
fof(f580,plain,
( sum(sum(n6,n2),sum(pred(n1),n8)) != sum(n3,sum(pred(n1),n2))
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f579,f202]) ).
fof(f581,plain,
( sum(sum(n6,n2),sum(n0,n8)) != sum(n3,sum(n0,n2))
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f580,f191]) ).
fof(f582,plain,
( sum(n3,n2) != sum(sum(n6,n2),sum(n0,n8))
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f581,f179]) ).
fof(f583,plain,
( sum(n3,n2) != sum(sum(n6,n2),n8)
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f582,f173]) ).
fof(f584,plain,
( sum(n3,n2) != sum(n8,n8)
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f583,f113]) ).
fof(f585,plain,
( n5 != sum(n3,n2)
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_demodulation,[],[f584,f85]) ).
fof(f586,plain,
( $false
| ~ spl2_10
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f585,f146]) ).
fof(f587,plain,
( ~ spl2_10
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f598,plain,
( sum(sum(n6,succ(n0)),sum(pred(n0),n8)) != sum(n3,sum(pred(n0),succ(n0)))
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f475,f247]) ).
fof(f599,plain,
( sum(sum(n6,n1),sum(pred(n0),n8)) != sum(n3,sum(pred(n0),n1))
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f598,f203]) ).
fof(f600,plain,
( sum(sum(n6,n1),sum(n10,n8)) != sum(n3,sum(n10,n1))
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f599,f192]) ).
fof(f601,plain,
( sum(n3,n0) != sum(sum(n6,n1),sum(n10,n8))
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f600,f70]) ).
fof(f602,plain,
( sum(n3,n0) != sum(sum(n6,n1),n7)
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f601,f63]) ).
fof(f603,plain,
( sum(n3,n0) != sum(n7,n7)
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f602,f114]) ).
fof(f604,plain,
( n3 != sum(n3,n0)
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_demodulation,[],[f603,f97]) ).
fof(f605,plain,
( $false
| ~ spl2_11
| ~ spl2_15 ),
inference(forward_subsumption_resolution,[],[f604,f148]) ).
fof(f606,plain,
( ~ spl2_11
| ~ spl2_15 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f625,plain,
( sum(sum(pred(sK0),succ(n3)),sum(pred(n3),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n3),succ(n3)))
| ~ spl2_8 ),
inference(forward_demodulation,[],[f58,f235]) ).
fof(f626,plain,
( sum(sum(pred(sK0),n4),sum(pred(n3),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n3),n4))
| ~ spl2_8 ),
inference(forward_demodulation,[],[f625,f200]) ).
fof(f627,plain,
( sum(sum(pred(sK0),n4),sum(n2,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n2,n4))
| ~ spl2_8 ),
inference(forward_demodulation,[],[f626,f189]) ).
fof(f628,plain,
( sum(sum(pred(sK0),n4),sum(n2,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n6)
| ~ spl2_8 ),
inference(forward_demodulation,[],[f627,f155]) ).
fof(f629,plain,
( sum(sum(pred(n5),n4),sum(n2,succ(n5))) != sum(sum(pred(n5),succ(n5)),n6)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f628,f272]) ).
fof(f630,plain,
( sum(sum(pred(n5),n4),sum(n2,n6)) != sum(sum(pred(n5),n6),n6)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f629,f198]) ).
fof(f631,plain,
( sum(sum(n4,n4),sum(n2,n6)) != sum(sum(n4,n6),n6)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f630,f187]) ).
fof(f632,plain,
( sum(n10,n6) != sum(sum(n4,n4),sum(n2,n6))
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f631,f131]) ).
fof(f633,plain,
( sum(n10,n6) != sum(sum(n4,n4),n8)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f632,f153]) ).
fof(f634,plain,
( sum(n8,n8) != sum(n10,n6)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f633,f133]) ).
fof(f635,plain,
( n5 != sum(n8,n8)
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_demodulation,[],[f634,f65]) ).
fof(f636,plain,
( $false
| ~ spl2_8
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f635,f85]) ).
fof(f637,plain,
( ~ spl2_8
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f636]) ).
fof(f647,plain,
( sum(sum(pred(n1),n4),sum(n2,succ(n1))) != sum(sum(pred(n1),succ(n1)),n6)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f628,f288]) ).
fof(f648,plain,
( sum(sum(pred(n1),n4),sum(n2,n2)) != sum(sum(pred(n1),n2),n6)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f647,f202]) ).
fof(f649,plain,
( sum(sum(n0,n4),sum(n2,n2)) != sum(sum(n0,n2),n6)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f648,f191]) ).
fof(f650,plain,
( sum(n2,n6) != sum(sum(n0,n4),sum(n2,n2))
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f649,f179]) ).
fof(f651,plain,
( sum(n2,n6) != sum(sum(n0,n4),n4)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f650,f157]) ).
fof(f652,plain,
( sum(n2,n6) != sum(n4,n4)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f651,f177]) ).
fof(f653,plain,
( n8 != sum(n2,n6)
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_demodulation,[],[f652,f133]) ).
fof(f654,plain,
( $false
| ~ spl2_8
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f653,f153]) ).
fof(f655,plain,
( ~ spl2_8
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f665,plain,
( sum(sum(pred(n9),n4),sum(n2,succ(n9))) != sum(sum(pred(n9),succ(n9)),n6)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f628,f256]) ).
fof(f666,plain,
( sum(sum(pred(n9),n4),sum(n2,n10)) != sum(sum(pred(n9),n10),n6)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f665,f194]) ).
fof(f667,plain,
( sum(sum(n8,n4),sum(n2,n10)) != sum(sum(n8,n10),n6)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f666,f183]) ).
fof(f668,plain,
( sum(n7,n6) != sum(sum(n8,n4),sum(n2,n10))
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f667,f83]) ).
fof(f669,plain,
( sum(n7,n6) != sum(sum(n8,n4),n1)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f668,f149]) ).
fof(f670,plain,
( sum(n1,n1) != sum(n7,n6)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f669,f89]) ).
fof(f671,plain,
( n2 != sum(n1,n1)
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_demodulation,[],[f670,f98]) ).
fof(f672,plain,
( $false
| ~ spl2_8
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f671,f169]) ).
fof(f673,plain,
( ~ spl2_8
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f683,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) != sum(sum(pred(n3),succ(n3)),n6)
| ~ spl2_8
| ~ spl2_19 ),
inference(forward_demodulation,[],[f628,f280]) ).
fof(f684,plain,
( sum(sum(pred(n3),n4),sum(n2,n4)) != sum(sum(pred(n3),n4),n6)
| ~ spl2_8
| ~ spl2_19 ),
inference(forward_demodulation,[],[f683,f200]) ).
fof(f685,plain,
( sum(sum(n2,n4),sum(n2,n4)) != sum(sum(n2,n4),n6)
| ~ spl2_8
| ~ spl2_19 ),
inference(forward_demodulation,[],[f684,f189]) ).
fof(f686,plain,
( sum(n6,n6) != sum(n6,n6)
| ~ spl2_8
| ~ spl2_19 ),
inference(forward_demodulation,[],[f685,f155]) ).
fof(f687,plain,
( $false
| ~ spl2_8
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f686]) ).
fof(f688,plain,
( ~ spl2_8
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f698,plain,
( sum(sum(pred(n4),n4),sum(n2,succ(n4))) != sum(sum(pred(n4),succ(n4)),n6)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f628,f276]) ).
fof(f699,plain,
( sum(sum(pred(n4),n4),sum(n2,n5)) != sum(sum(pred(n4),n5),n6)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f698,f199]) ).
fof(f700,plain,
( sum(sum(n3,n4),sum(n2,n5)) != sum(sum(n3,n5),n6)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f699,f188]) ).
fof(f701,plain,
( sum(n8,n6) != sum(sum(n3,n4),sum(n2,n5))
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f700,f143]) ).
fof(f702,plain,
( sum(n8,n6) != sum(sum(n3,n4),n7)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f701,f154]) ).
fof(f703,plain,
( sum(n7,n7) != sum(n8,n6)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f702,f144]) ).
fof(f704,plain,
( n3 != sum(n7,n7)
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_demodulation,[],[f703,f87]) ).
fof(f705,plain,
( $false
| ~ spl2_8
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f704,f97]) ).
fof(f706,plain,
( ~ spl2_8
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f716,plain,
( sum(sum(pred(n10),n4),sum(n2,succ(n10))) != sum(sum(pred(n10),succ(n10)),n6)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f628,f252]) ).
fof(f717,plain,
( sum(sum(pred(n10),n4),sum(n2,n0)) != sum(sum(pred(n10),n0),n6)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f716,f193]) ).
fof(f718,plain,
( sum(sum(n9,n4),sum(n2,n0)) != sum(sum(n9,n0),n6)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f717,f182]) ).
fof(f719,plain,
( sum(n9,n6) != sum(sum(n9,n4),sum(n2,n0))
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f718,f82]) ).
fof(f720,plain,
( sum(n9,n6) != sum(sum(n9,n4),n2)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f719,f159]) ).
fof(f721,plain,
( sum(n2,n2) != sum(n9,n6)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f720,f78]) ).
fof(f722,plain,
( n4 != sum(n2,n2)
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_demodulation,[],[f721,f76]) ).
fof(f723,plain,
( $false
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f722,f157]) ).
fof(f724,plain,
( ~ spl2_8
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f735,plain,
( sum(sum(pred(n0),n4),sum(n2,succ(n0))) != sum(sum(pred(n0),succ(n0)),n6)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f628,f292]) ).
fof(f736,plain,
( sum(sum(pred(n0),n4),sum(n2,n1)) != sum(sum(pred(n0),n1),n6)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f735,f203]) ).
fof(f737,plain,
( sum(sum(n10,n4),sum(n2,n1)) != sum(sum(n10,n1),n6)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f736,f192]) ).
fof(f738,plain,
( sum(n0,n6) != sum(sum(n10,n4),sum(n2,n1))
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f737,f70]) ).
fof(f739,plain,
( sum(n0,n6) != sum(sum(n10,n4),n3)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f738,f158]) ).
fof(f740,plain,
( sum(n0,n6) != sum(n3,n3)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f739,f67]) ).
fof(f741,plain,
( n6 != sum(n0,n6)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f740,f145]) ).
fof(f742,plain,
( $false
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f741,f175]) ).
fof(f743,plain,
( ~ spl2_8
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f754,plain,
( sum(sum(pred(n6),n4),sum(n2,succ(n6))) != sum(sum(pred(n6),succ(n6)),n6)
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f628,f268]) ).
fof(f755,plain,
( sum(sum(pred(n6),n4),sum(n2,n7)) != sum(sum(pred(n6),n7),n6)
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f754,f197]) ).
fof(f756,plain,
( sum(sum(n5,n4),sum(n2,n7)) != sum(sum(n5,n7),n6)
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f755,f186]) ).
fof(f757,plain,
( sum(n1,n6) != sum(sum(n5,n4),sum(n2,n7))
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f756,f119]) ).
fof(f758,plain,
( sum(n1,n6) != sum(sum(n5,n4),n9)
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f757,f152]) ).
fof(f759,plain,
( sum(n1,n6) != sum(n9,n9)
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f758,f122]) ).
fof(f760,plain,
( n7 != sum(n1,n6)
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_demodulation,[],[f759,f73]) ).
fof(f761,plain,
( $false
| ~ spl2_8
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f760,f164]) ).
fof(f762,plain,
( ~ spl2_8
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f773,plain,
( sum(sum(pred(n2),n4),sum(n2,succ(n2))) != sum(sum(pred(n2),succ(n2)),n6)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f628,f284]) ).
fof(f774,plain,
( sum(sum(pred(n2),n4),sum(n2,n3)) != sum(sum(pred(n2),n3),n6)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f773,f201]) ).
fof(f775,plain,
( sum(sum(n1,n4),sum(n2,n3)) != sum(sum(n1,n3),n6)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f774,f190]) ).
fof(f776,plain,
( sum(n4,n6) != sum(sum(n1,n4),sum(n2,n3))
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f775,f167]) ).
fof(f777,plain,
( sum(n4,n6) != sum(sum(n1,n4),n5)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f776,f156]) ).
fof(f778,plain,
( sum(n4,n6) != sum(n5,n5)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f777,f166]) ).
fof(f779,plain,
( n10 != sum(n4,n6)
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_demodulation,[],[f778,f121]) ).
fof(f780,plain,
( $false
| ~ spl2_8
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f779,f131]) ).
fof(f781,plain,
( ~ spl2_8
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f792,plain,
( sum(sum(pred(n8),n4),sum(n2,succ(n8))) != sum(sum(pred(n8),succ(n8)),n6)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f628,f260]) ).
fof(f793,plain,
( sum(sum(pred(n8),n4),sum(n2,n9)) != sum(sum(pred(n8),n9),n6)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f792,f195]) ).
fof(f794,plain,
( sum(sum(n7,n4),sum(n2,n9)) != sum(sum(n7,n9),n6)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f793,f184]) ).
fof(f795,plain,
( sum(n5,n6) != sum(sum(n7,n4),sum(n2,n9))
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f794,f95]) ).
fof(f796,plain,
( sum(n5,n6) != sum(sum(n7,n4),n0)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f795,f150]) ).
fof(f797,plain,
( sum(n0,n0) != sum(n5,n6)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f796,f100]) ).
fof(f798,plain,
( n0 != sum(n0,n0)
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_demodulation,[],[f797,f120]) ).
fof(f799,plain,
( $false
| ~ spl2_8
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f798,f181]) ).
fof(f800,plain,
( ~ spl2_8
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f819,plain,
( sum(sum(pred(sK0),succ(n2)),sum(pred(n2),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n2),succ(n2)))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f58,f239]) ).
fof(f820,plain,
( sum(sum(pred(sK0),n3),sum(pred(n2),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n2),n3))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f819,f201]) ).
fof(f821,plain,
( sum(sum(pred(sK0),n3),sum(n1,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n1,n3))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f820,f190]) ).
fof(f822,plain,
( sum(sum(pred(sK0),n3),sum(n1,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n4)
| ~ spl2_9 ),
inference(forward_demodulation,[],[f821,f167]) ).
fof(f823,plain,
( sum(sum(pred(n5),n3),sum(n1,succ(n5))) != sum(sum(pred(n5),succ(n5)),n4)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f822,f272]) ).
fof(f824,plain,
( sum(sum(pred(n5),n3),sum(n1,n6)) != sum(sum(pred(n5),n6),n4)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f823,f198]) ).
fof(f825,plain,
( sum(sum(n4,n3),sum(n1,n6)) != sum(sum(n4,n6),n4)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f824,f187]) ).
fof(f826,plain,
( sum(n10,n4) != sum(sum(n4,n3),sum(n1,n6))
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f825,f131]) ).
fof(f827,plain,
( sum(n10,n4) != sum(sum(n4,n3),n7)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f826,f164]) ).
fof(f828,plain,
( sum(n7,n7) != sum(n10,n4)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f827,f134]) ).
fof(f829,plain,
( n3 != sum(n7,n7)
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_demodulation,[],[f828,f67]) ).
fof(f830,plain,
( $false
| ~ spl2_9
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f829,f97]) ).
fof(f831,plain,
( ~ spl2_9
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f832,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5))) != sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1)))
| ~ spl2_17 ),
inference(forward_demodulation,[],[f58,f272]) ).
fof(f833,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),n6)) != sum(sum(pred(n5),n6),sum(pred(sK1),succ(sK1)))
| ~ spl2_17 ),
inference(forward_demodulation,[],[f832,f198]) ).
fof(f834,plain,
( sum(sum(n4,succ(sK1)),sum(pred(sK1),n6)) != sum(sum(n4,n6),sum(pred(sK1),succ(sK1)))
| ~ spl2_17 ),
inference(forward_demodulation,[],[f833,f187]) ).
fof(f835,plain,
( sum(sum(n4,succ(sK1)),sum(pred(sK1),n6)) != sum(n10,sum(pred(sK1),succ(sK1)))
| ~ spl2_17 ),
inference(forward_demodulation,[],[f834,f131]) ).
fof(f845,plain,
( sum(sum(n4,succ(n8)),sum(pred(n8),n6)) != sum(n10,sum(pred(n8),succ(n8)))
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f835,f215]) ).
fof(f846,plain,
( sum(sum(n4,n9),sum(pred(n8),n6)) != sum(n10,sum(pred(n8),n9))
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f845,f195]) ).
fof(f847,plain,
( sum(sum(n4,n9),sum(n7,n6)) != sum(n10,sum(n7,n9))
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f846,f184]) ).
fof(f848,plain,
( sum(n10,n5) != sum(sum(n4,n9),sum(n7,n6))
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f847,f95]) ).
fof(f849,plain,
( sum(n10,n5) != sum(sum(n4,n9),n2)
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f848,f98]) ).
fof(f850,plain,
( sum(n2,n2) != sum(n10,n5)
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f849,f128]) ).
fof(f851,plain,
( n4 != sum(n2,n2)
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_demodulation,[],[f850,f66]) ).
fof(f852,plain,
( $false
| ~ spl2_3
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f851,f157]) ).
fof(f853,plain,
( ~ spl2_3
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f863,plain,
( sum(sum(n4,succ(n1)),sum(pred(n1),n6)) != sum(n10,sum(pred(n1),succ(n1)))
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f835,f243]) ).
fof(f864,plain,
( sum(sum(n4,n2),sum(pred(n1),n6)) != sum(n10,sum(pred(n1),n2))
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f863,f202]) ).
fof(f865,plain,
( sum(sum(n4,n2),sum(n0,n6)) != sum(n10,sum(n0,n2))
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f864,f191]) ).
fof(f866,plain,
( sum(n10,n2) != sum(sum(n4,n2),sum(n0,n6))
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f865,f179]) ).
fof(f867,plain,
( sum(n10,n2) != sum(sum(n4,n2),n6)
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f866,f175]) ).
fof(f868,plain,
( sum(n6,n6) != sum(n10,n2)
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f867,f135]) ).
fof(f869,plain,
( n1 != sum(n6,n6)
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_demodulation,[],[f868,f69]) ).
fof(f870,plain,
( $false
| ~ spl2_10
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f869,f109]) ).
fof(f871,plain,
( ~ spl2_10
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f881,plain,
( sum(sum(n4,succ(n4)),sum(pred(n4),n6)) != sum(n10,sum(pred(n4),succ(n4)))
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f835,f231]) ).
fof(f882,plain,
( sum(sum(n4,n5),sum(pred(n4),n6)) != sum(n10,sum(pred(n4),n5))
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f881,f199]) ).
fof(f883,plain,
( sum(sum(n4,n5),sum(n3,n6)) != sum(n10,sum(n3,n5))
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f882,f188]) ).
fof(f884,plain,
( sum(n10,n8) != sum(sum(n4,n5),sum(n3,n6))
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f883,f143]) ).
fof(f885,plain,
( sum(n10,n8) != sum(sum(n4,n5),n9)
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f884,f142]) ).
fof(f886,plain,
( sum(n9,n9) != sum(n10,n8)
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f885,f132]) ).
fof(f887,plain,
( n7 != sum(n9,n9)
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_demodulation,[],[f886,f63]) ).
fof(f888,plain,
( $false
| ~ spl2_7
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f887,f73]) ).
fof(f889,plain,
( ~ spl2_7
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f899,plain,
( sum(sum(n4,succ(n10)),sum(pred(n10),n6)) != sum(n10,sum(pred(n10),succ(n10)))
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f835,f207]) ).
fof(f900,plain,
( sum(sum(n4,n0),sum(pred(n10),n6)) != sum(n10,sum(pred(n10),n0))
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f899,f193]) ).
fof(f901,plain,
( sum(sum(n4,n0),sum(n9,n6)) != sum(n10,sum(n9,n0))
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f900,f182]) ).
fof(f902,plain,
( sum(n10,n9) != sum(sum(n4,n0),sum(n9,n6))
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f901,f82]) ).
fof(f903,plain,
( sum(n10,n9) != sum(sum(n4,n0),n4)
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f902,f76]) ).
fof(f904,plain,
( sum(n4,n4) != sum(n10,n9)
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f903,f137]) ).
fof(f905,plain,
( n8 != sum(n4,n4)
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_demodulation,[],[f904,f62]) ).
fof(f906,plain,
( $false
| ~ spl2_1
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f905,f133]) ).
fof(f907,plain,
( ~ spl2_1
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f906]) ).
fof(f917,plain,
( sum(sum(n4,succ(n5)),sum(pred(n5),n6)) != sum(n10,sum(pred(n5),succ(n5)))
| ~ spl2_6
| ~ spl2_17 ),
inference(forward_demodulation,[],[f835,f227]) ).
fof(f918,plain,
( sum(sum(n4,n6),sum(pred(n5),n6)) != sum(n10,sum(pred(n5),n6))
| ~ spl2_6
| ~ spl2_17 ),
inference(forward_demodulation,[],[f917,f198]) ).
fof(f919,plain,
( sum(sum(n4,n6),sum(n4,n6)) != sum(n10,sum(n4,n6))
| ~ spl2_6
| ~ spl2_17 ),
inference(forward_demodulation,[],[f918,f187]) ).
fof(f920,plain,
( sum(n10,n10) != sum(n10,n10)
| ~ spl2_6
| ~ spl2_17 ),
inference(forward_demodulation,[],[f919,f131]) ).
fof(f921,plain,
( $false
| ~ spl2_6
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f920]) ).
fof(f922,plain,
( ~ spl2_6
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f932,plain,
( sum(sum(n4,succ(n7)),sum(pred(n7),n6)) != sum(n10,sum(pred(n7),succ(n7)))
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f835,f219]) ).
fof(f933,plain,
( sum(sum(n4,n8),sum(pred(n7),n6)) != sum(n10,sum(pred(n7),n8))
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f932,f196]) ).
fof(f934,plain,
( sum(sum(n4,n8),sum(n6,n6)) != sum(n10,sum(n6,n8))
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f933,f185]) ).
fof(f935,plain,
( sum(n10,n3) != sum(sum(n4,n8),sum(n6,n6))
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f934,f107]) ).
fof(f936,plain,
( sum(n10,n3) != sum(sum(n4,n8),n1)
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f935,f109]) ).
fof(f937,plain,
( sum(n1,n1) != sum(n10,n3)
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f936,f129]) ).
fof(f938,plain,
( n2 != sum(n1,n1)
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_demodulation,[],[f937,f68]) ).
fof(f939,plain,
( $false
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f938,f169]) ).
fof(f940,plain,
( ~ spl2_4
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f939]) ).
fof(f951,plain,
( sum(sum(n4,succ(n0)),sum(pred(n0),n6)) != sum(n10,sum(pred(n0),succ(n0)))
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f835,f247]) ).
fof(f952,plain,
( sum(sum(n4,n1),sum(pred(n0),n6)) != sum(n10,sum(pred(n0),n1))
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f951,f203]) ).
fof(f953,plain,
( sum(sum(n4,n1),sum(n10,n6)) != sum(n10,sum(n10,n1))
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f952,f192]) ).
fof(f954,plain,
( sum(n10,n0) != sum(sum(n4,n1),sum(n10,n6))
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f953,f70]) ).
fof(f955,plain,
( sum(n10,n0) != sum(sum(n4,n1),n5)
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f954,f65]) ).
fof(f956,plain,
( sum(n5,n5) != sum(n10,n0)
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f955,f136]) ).
fof(f957,plain,
( n10 != sum(n5,n5)
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_demodulation,[],[f956,f71]) ).
fof(f958,plain,
( $false
| ~ spl2_11
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f957,f121]) ).
fof(f959,plain,
( ~ spl2_11
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f958]) ).
fof(f970,plain,
( sum(sum(n4,succ(n6)),sum(pred(n6),n6)) != sum(n10,sum(pred(n6),succ(n6)))
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f835,f223]) ).
fof(f971,plain,
( sum(sum(n4,n7),sum(pred(n6),n6)) != sum(n10,sum(pred(n6),n7))
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f970,f197]) ).
fof(f972,plain,
( sum(sum(n4,n7),sum(n5,n6)) != sum(n10,sum(n5,n7))
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f971,f186]) ).
fof(f973,plain,
( sum(n10,n1) != sum(sum(n4,n7),sum(n5,n6))
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f972,f119]) ).
fof(f974,plain,
( sum(n10,n1) != sum(sum(n4,n7),n0)
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f973,f120]) ).
fof(f975,plain,
( sum(n0,n0) != sum(n10,n1)
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f974,f130]) ).
fof(f976,plain,
( n0 != sum(n0,n0)
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_demodulation,[],[f975,f70]) ).
fof(f977,plain,
( $false
| ~ spl2_5
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f976,f181]) ).
fof(f978,plain,
( ~ spl2_5
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f997,plain,
( sum(sum(pred(sK0),succ(n2)),sum(pred(n2),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n2),succ(n2)))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f58,f239]) ).
fof(f998,plain,
( sum(sum(pred(sK0),n3),sum(pred(n2),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n2),n3))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f997,f201]) ).
fof(f999,plain,
( sum(sum(pred(sK0),n3),sum(n1,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n1,n3))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f998,f190]) ).
fof(f1000,plain,
( sum(sum(pred(sK0),n3),sum(n1,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n4)
| ~ spl2_9 ),
inference(forward_demodulation,[],[f999,f167]) ).
fof(f1001,plain,
( sum(sum(pred(n4),n3),sum(n1,succ(n4))) != sum(sum(pred(n4),succ(n4)),n4)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1000,f276]) ).
fof(f1002,plain,
( sum(sum(pred(n4),n3),sum(n1,n5)) != sum(sum(pred(n4),n5),n4)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1001,f199]) ).
fof(f1003,plain,
( sum(sum(n3,n3),sum(n1,n5)) != sum(sum(n3,n5),n4)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1002,f188]) ).
fof(f1004,plain,
( sum(n8,n4) != sum(sum(n3,n3),sum(n1,n5))
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1003,f143]) ).
fof(f1005,plain,
( sum(n8,n4) != sum(sum(n3,n3),n6)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1004,f165]) ).
fof(f1006,plain,
( sum(n6,n6) != sum(n8,n4)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1005,f145]) ).
fof(f1007,plain,
( n1 != sum(n6,n6)
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1006,f89]) ).
fof(f1008,plain,
( $false
| ~ spl2_9
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f1007,f109]) ).
fof(f1009,plain,
( ~ spl2_9
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f1008]) ).
fof(f1019,plain,
( sum(sum(pred(n0),n3),sum(n1,succ(n0))) != sum(sum(pred(n0),succ(n0)),n4)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1000,f292]) ).
fof(f1020,plain,
( sum(sum(pred(n0),n3),sum(n1,n1)) != sum(sum(pred(n0),n1),n4)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1019,f203]) ).
fof(f1021,plain,
( sum(sum(n10,n3),sum(n1,n1)) != sum(sum(n10,n1),n4)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1020,f192]) ).
fof(f1022,plain,
( sum(n0,n4) != sum(sum(n10,n3),sum(n1,n1))
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1021,f70]) ).
fof(f1023,plain,
( sum(n0,n4) != sum(sum(n10,n3),n2)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1022,f169]) ).
fof(f1024,plain,
( sum(n0,n4) != sum(n2,n2)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1023,f68]) ).
fof(f1025,plain,
( n4 != sum(n0,n4)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1024,f157]) ).
fof(f1026,plain,
( $false
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f1025,f177]) ).
fof(f1027,plain,
( ~ spl2_9
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1037,plain,
( sum(sum(pred(n3),n3),sum(n1,succ(n3))) != sum(sum(pred(n3),succ(n3)),n4)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1000,f280]) ).
fof(f1038,plain,
( sum(sum(pred(n3),n3),sum(n1,n4)) != sum(sum(pred(n3),n4),n4)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1037,f200]) ).
fof(f1039,plain,
( sum(sum(n2,n3),sum(n1,n4)) != sum(sum(n2,n4),n4)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1038,f189]) ).
fof(f1040,plain,
( sum(n6,n4) != sum(sum(n2,n3),sum(n1,n4))
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1039,f155]) ).
fof(f1041,plain,
( sum(n6,n4) != sum(sum(n2,n3),n5)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1040,f166]) ).
fof(f1042,plain,
( sum(n5,n5) != sum(n6,n4)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1041,f156]) ).
fof(f1043,plain,
( n10 != sum(n5,n5)
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1042,f111]) ).
fof(f1044,plain,
( $false
| ~ spl2_9
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1043,f121]) ).
fof(f1045,plain,
( ~ spl2_9
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1044]) ).
fof(f1056,plain,
( sum(sum(pred(n8),n3),sum(n1,succ(n8))) != sum(sum(pred(n8),succ(n8)),n4)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1000,f260]) ).
fof(f1057,plain,
( sum(sum(pred(n8),n3),sum(n1,n9)) != sum(sum(pred(n8),n9),n4)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1056,f195]) ).
fof(f1058,plain,
( sum(sum(n7,n3),sum(n1,n9)) != sum(sum(n7,n9),n4)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1057,f184]) ).
fof(f1059,plain,
( sum(n5,n4) != sum(sum(n7,n3),sum(n1,n9))
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1058,f95]) ).
fof(f1060,plain,
( sum(n5,n4) != sum(sum(n7,n3),n10)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1059,f161]) ).
fof(f1061,plain,
( sum(n5,n4) != sum(n10,n10)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1060,f101]) ).
fof(f1062,plain,
( n9 != sum(n5,n4)
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1061,f61]) ).
fof(f1063,plain,
( $false
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f1062,f122]) ).
fof(f1064,plain,
( ~ spl2_9
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f1063]) ).
fof(f1075,plain,
( sum(sum(pred(n10),n3),sum(n1,succ(n10))) != sum(sum(pred(n10),succ(n10)),n4)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1000,f252]) ).
fof(f1076,plain,
( sum(sum(pred(n10),n3),sum(n1,n0)) != sum(sum(pred(n10),n0),n4)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1075,f193]) ).
fof(f1077,plain,
( sum(sum(n9,n3),sum(n1,n0)) != sum(sum(n9,n0),n4)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1076,f182]) ).
fof(f1078,plain,
( sum(n9,n4) != sum(sum(n9,n3),sum(n1,n0))
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1077,f82]) ).
fof(f1079,plain,
( sum(n9,n4) != sum(sum(n9,n3),n1)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1078,f170]) ).
fof(f1080,plain,
( sum(n1,n1) != sum(n9,n4)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1079,f79]) ).
fof(f1081,plain,
( n2 != sum(n1,n1)
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1080,f78]) ).
fof(f1082,plain,
( $false
| ~ spl2_9
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1081,f169]) ).
fof(f1083,plain,
( ~ spl2_9
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1094,plain,
( sum(sum(pred(n9),n3),sum(n1,succ(n9))) != sum(sum(pred(n9),succ(n9)),n4)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1000,f256]) ).
fof(f1095,plain,
( sum(sum(pred(n9),n3),sum(n1,n10)) != sum(sum(pred(n9),n10),n4)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1094,f194]) ).
fof(f1096,plain,
( sum(sum(n8,n3),sum(n1,n10)) != sum(sum(n8,n10),n4)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1095,f183]) ).
fof(f1097,plain,
( sum(n7,n4) != sum(sum(n8,n3),sum(n1,n10))
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1096,f83]) ).
fof(f1098,plain,
( sum(n7,n4) != sum(sum(n8,n3),n0)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1097,f160]) ).
fof(f1099,plain,
( sum(n0,n0) != sum(n7,n4)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1098,f90]) ).
fof(f1100,plain,
( n0 != sum(n0,n0)
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1099,f100]) ).
fof(f1101,plain,
( $false
| ~ spl2_9
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f1100,f181]) ).
fof(f1102,plain,
( ~ spl2_9
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1113,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) != sum(sum(pred(n2),succ(n2)),n4)
| ~ spl2_9
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1000,f284]) ).
fof(f1114,plain,
( sum(sum(pred(n2),n3),sum(n1,n3)) != sum(sum(pred(n2),n3),n4)
| ~ spl2_9
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1113,f201]) ).
fof(f1115,plain,
( sum(sum(n1,n3),sum(n1,n3)) != sum(sum(n1,n3),n4)
| ~ spl2_9
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1114,f190]) ).
fof(f1116,plain,
( sum(n4,n4) != sum(n4,n4)
| ~ spl2_9
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1115,f167]) ).
fof(f1117,plain,
( $false
| ~ spl2_9
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f1116]) ).
fof(f1118,plain,
( ~ spl2_9
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1129,plain,
( sum(sum(pred(n6),n3),sum(n1,succ(n6))) != sum(sum(pred(n6),succ(n6)),n4)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1000,f268]) ).
fof(f1130,plain,
( sum(sum(pred(n6),n3),sum(n1,n7)) != sum(sum(pred(n6),n7),n4)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1129,f197]) ).
fof(f1131,plain,
( sum(sum(n5,n3),sum(n1,n7)) != sum(sum(n5,n7),n4)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1130,f186]) ).
fof(f1132,plain,
( sum(n1,n4) != sum(sum(n5,n3),sum(n1,n7))
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1131,f119]) ).
fof(f1133,plain,
( sum(n1,n4) != sum(sum(n5,n3),n8)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1132,f163]) ).
fof(f1134,plain,
( sum(n1,n4) != sum(n8,n8)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1133,f123]) ).
fof(f1135,plain,
( n5 != sum(n1,n4)
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1134,f85]) ).
fof(f1136,plain,
( $false
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f1135,f166]) ).
fof(f1137,plain,
( ~ spl2_9
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1148,plain,
( sum(sum(pred(n1),n3),sum(n1,succ(n1))) != sum(sum(pred(n1),succ(n1)),n4)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1000,f288]) ).
fof(f1149,plain,
( sum(sum(pred(n1),n3),sum(n1,n2)) != sum(sum(pred(n1),n2),n4)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1148,f202]) ).
fof(f1150,plain,
( sum(sum(n0,n3),sum(n1,n2)) != sum(sum(n0,n2),n4)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1149,f191]) ).
fof(f1151,plain,
( sum(n2,n4) != sum(sum(n0,n3),sum(n1,n2))
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1150,f179]) ).
fof(f1152,plain,
( sum(n2,n4) != sum(sum(n0,n3),n3)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1151,f168]) ).
fof(f1153,plain,
( sum(n2,n4) != sum(n3,n3)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1152,f178]) ).
fof(f1154,plain,
( n6 != sum(n2,n4)
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1153,f145]) ).
fof(f1155,plain,
( $false
| ~ spl2_9
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1154,f155]) ).
fof(f1156,plain,
( ~ spl2_9
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1175,plain,
( sum(sum(pred(sK0),succ(n7)),sum(pred(n7),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n7),succ(n7)))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f58,f219]) ).
fof(f1176,plain,
( sum(sum(pred(sK0),n8),sum(pred(n7),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n7),n8))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f1175,f196]) ).
fof(f1177,plain,
( sum(sum(pred(sK0),n8),sum(n6,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n6,n8))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f1176,f185]) ).
fof(f1178,plain,
( sum(sum(pred(sK0),n8),sum(n6,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n3)
| ~ spl2_4 ),
inference(forward_demodulation,[],[f1177,f107]) ).
fof(f1179,plain,
( sum(sum(pred(n3),n8),sum(n6,succ(n3))) != sum(sum(pred(n3),succ(n3)),n3)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1178,f280]) ).
fof(f1180,plain,
( sum(sum(pred(n3),n8),sum(n6,n4)) != sum(sum(pred(n3),n4),n3)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1179,f200]) ).
fof(f1181,plain,
( sum(sum(n2,n8),sum(n6,n4)) != sum(sum(n2,n4),n3)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1180,f189]) ).
fof(f1182,plain,
( sum(n6,n3) != sum(sum(n2,n8),sum(n6,n4))
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1181,f155]) ).
fof(f1183,plain,
( sum(n6,n3) != sum(sum(n2,n8),n10)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1182,f111]) ).
fof(f1184,plain,
( sum(n6,n3) != sum(n10,n10)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1183,f151]) ).
fof(f1185,plain,
( n9 != sum(n6,n3)
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1184,f61]) ).
fof(f1186,plain,
( $false
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1185,f112]) ).
fof(f1187,plain,
( ~ spl2_4
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1186]) ).
fof(f1188,plain,
( sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1),succ(sK1)))
| ~ spl2_19 ),
inference(forward_demodulation,[],[f58,f280]) ).
fof(f1189,plain,
( sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),n4)) != sum(sum(pred(n3),n4),sum(pred(sK1),succ(sK1)))
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1188,f200]) ).
fof(f1190,plain,
( sum(sum(n2,succ(sK1)),sum(pred(sK1),n4)) != sum(sum(n2,n4),sum(pred(sK1),succ(sK1)))
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1189,f189]) ).
fof(f1191,plain,
( sum(sum(n2,succ(sK1)),sum(pred(sK1),n4)) != sum(n6,sum(pred(sK1),succ(sK1)))
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1190,f155]) ).
fof(f1202,plain,
( sum(sum(n2,succ(n6)),sum(pred(n6),n4)) != sum(n6,sum(pred(n6),succ(n6)))
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1191,f223]) ).
fof(f1203,plain,
( sum(sum(n2,n7),sum(pred(n6),n4)) != sum(n6,sum(pred(n6),n7))
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1202,f197]) ).
fof(f1204,plain,
( sum(sum(n2,n7),sum(n5,n4)) != sum(n6,sum(n5,n7))
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1203,f186]) ).
fof(f1205,plain,
( sum(n6,n1) != sum(sum(n2,n7),sum(n5,n4))
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1204,f119]) ).
fof(f1206,plain,
( sum(n6,n1) != sum(sum(n2,n7),n9)
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1205,f122]) ).
fof(f1207,plain,
( sum(n6,n1) != sum(n9,n9)
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1206,f152]) ).
fof(f1208,plain,
( n7 != sum(n6,n1)
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1207,f73]) ).
fof(f1209,plain,
( $false
| ~ spl2_5
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1208,f114]) ).
fof(f1210,plain,
( ~ spl2_5
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1209]) ).
fof(f1221,plain,
( sum(sum(n2,succ(n10)),sum(pred(n10),n4)) != sum(n6,sum(pred(n10),succ(n10)))
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1191,f207]) ).
fof(f1222,plain,
( sum(sum(n2,n0),sum(pred(n10),n4)) != sum(n6,sum(pred(n10),n0))
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1221,f193]) ).
fof(f1223,plain,
( sum(sum(n2,n0),sum(n9,n4)) != sum(n6,sum(n9,n0))
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1222,f182]) ).
fof(f1224,plain,
( sum(n6,n9) != sum(sum(n2,n0),sum(n9,n4))
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1223,f82]) ).
fof(f1225,plain,
( sum(n6,n9) != sum(sum(n2,n0),n2)
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1224,f78]) ).
fof(f1226,plain,
( sum(n2,n2) != sum(n6,n9)
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1225,f159]) ).
fof(f1227,plain,
( n4 != sum(n2,n2)
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1226,f106]) ).
fof(f1228,plain,
( $false
| ~ spl2_1
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1227,f157]) ).
fof(f1229,plain,
( ~ spl2_1
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1228]) ).
fof(f1240,plain,
( sum(sum(n2,succ(n4)),sum(pred(n4),n4)) != sum(n6,sum(pred(n4),succ(n4)))
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1191,f231]) ).
fof(f1241,plain,
( sum(sum(n2,n5),sum(pred(n4),n4)) != sum(n6,sum(pred(n4),n5))
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1240,f199]) ).
fof(f1242,plain,
( sum(sum(n2,n5),sum(n3,n4)) != sum(n6,sum(n3,n5))
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1241,f188]) ).
fof(f1243,plain,
( sum(n6,n8) != sum(sum(n2,n5),sum(n3,n4))
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1242,f143]) ).
fof(f1244,plain,
( sum(n6,n8) != sum(sum(n2,n5),n7)
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1243,f144]) ).
fof(f1245,plain,
( sum(n6,n8) != sum(n7,n7)
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1244,f154]) ).
fof(f1246,plain,
( n3 != sum(n6,n8)
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1245,f97]) ).
fof(f1247,plain,
( $false
| ~ spl2_7
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1246,f107]) ).
fof(f1248,plain,
( ~ spl2_7
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1247]) ).
fof(f1259,plain,
( sum(sum(n2,succ(n8)),sum(pred(n8),n4)) != sum(n6,sum(pred(n8),succ(n8)))
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1191,f215]) ).
fof(f1260,plain,
( sum(sum(n2,n9),sum(pred(n8),n4)) != sum(n6,sum(pred(n8),n9))
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1259,f195]) ).
fof(f1261,plain,
( sum(sum(n2,n9),sum(n7,n4)) != sum(n6,sum(n7,n9))
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1260,f184]) ).
fof(f1262,plain,
( sum(n6,n5) != sum(sum(n2,n9),sum(n7,n4))
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1261,f95]) ).
fof(f1263,plain,
( sum(n6,n5) != sum(sum(n2,n9),n0)
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1262,f100]) ).
fof(f1264,plain,
( sum(n0,n0) != sum(n6,n5)
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1263,f150]) ).
fof(f1265,plain,
( n0 != sum(n0,n0)
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1264,f110]) ).
fof(f1266,plain,
( $false
| ~ spl2_3
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1265,f181]) ).
fof(f1267,plain,
( ~ spl2_3
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1266]) ).
fof(f1278,plain,
( sum(sum(n2,succ(n0)),sum(pred(n0),n4)) != sum(n6,sum(pred(n0),succ(n0)))
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1191,f247]) ).
fof(f1279,plain,
( sum(sum(n2,n1),sum(pred(n0),n4)) != sum(n6,sum(pred(n0),n1))
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1278,f203]) ).
fof(f1280,plain,
( sum(sum(n2,n1),sum(n10,n4)) != sum(n6,sum(n10,n1))
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1279,f192]) ).
fof(f1281,plain,
( sum(n6,n0) != sum(sum(n2,n1),sum(n10,n4))
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1280,f70]) ).
fof(f1282,plain,
( sum(n6,n0) != sum(sum(n2,n1),n3)
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1281,f67]) ).
fof(f1283,plain,
( sum(n3,n3) != sum(n6,n0)
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1282,f158]) ).
fof(f1284,plain,
( n6 != sum(n3,n3)
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1283,f115]) ).
fof(f1285,plain,
( $false
| ~ spl2_11
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1284,f145]) ).
fof(f1286,plain,
( ~ spl2_11
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1285]) ).
fof(f1297,plain,
( sum(sum(n2,succ(n1)),sum(pred(n1),n4)) != sum(n6,sum(pred(n1),succ(n1)))
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1191,f243]) ).
fof(f1298,plain,
( sum(sum(n2,n2),sum(pred(n1),n4)) != sum(n6,sum(pred(n1),n2))
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1297,f202]) ).
fof(f1299,plain,
( sum(sum(n2,n2),sum(n0,n4)) != sum(n6,sum(n0,n2))
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1298,f191]) ).
fof(f1300,plain,
( sum(n6,n2) != sum(sum(n2,n2),sum(n0,n4))
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1299,f179]) ).
fof(f1301,plain,
( sum(n6,n2) != sum(sum(n2,n2),n4)
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1300,f177]) ).
fof(f1302,plain,
( sum(n4,n4) != sum(n6,n2)
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1301,f157]) ).
fof(f1303,plain,
( n8 != sum(n4,n4)
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1302,f113]) ).
fof(f1304,plain,
( $false
| ~ spl2_10
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1303,f133]) ).
fof(f1305,plain,
( ~ spl2_10
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1316,plain,
( sum(sum(n2,succ(n5)),sum(pred(n5),n4)) != sum(n6,sum(pred(n5),succ(n5)))
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1191,f227]) ).
fof(f1317,plain,
( sum(sum(n2,n6),sum(pred(n5),n4)) != sum(n6,sum(pred(n5),n6))
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1316,f198]) ).
fof(f1318,plain,
( sum(sum(n2,n6),sum(n4,n4)) != sum(n6,sum(n4,n6))
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1317,f187]) ).
fof(f1319,plain,
( sum(n6,n10) != sum(sum(n2,n6),sum(n4,n4))
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1318,f131]) ).
fof(f1320,plain,
( sum(n6,n10) != sum(sum(n2,n6),n8)
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1319,f133]) ).
fof(f1321,plain,
( sum(n6,n10) != sum(n8,n8)
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1320,f153]) ).
fof(f1322,plain,
( n5 != sum(n6,n10)
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_demodulation,[],[f1321,f85]) ).
fof(f1323,plain,
( $false
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f1322,f105]) ).
fof(f1324,plain,
( ~ spl2_6
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f1323]) ).
fof(f1343,plain,
( sum(sum(pred(sK0),succ(n1)),sum(pred(n1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n1),succ(n1)))
| ~ spl2_10 ),
inference(forward_demodulation,[],[f58,f243]) ).
fof(f1344,plain,
( sum(sum(pred(sK0),n2),sum(pred(n1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n1),n2))
| ~ spl2_10 ),
inference(forward_demodulation,[],[f1343,f202]) ).
fof(f1345,plain,
( sum(sum(pred(sK0),n2),sum(n0,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n0,n2))
| ~ spl2_10 ),
inference(forward_demodulation,[],[f1344,f191]) ).
fof(f1346,plain,
( sum(sum(pred(sK0),n2),sum(n0,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n2)
| ~ spl2_10 ),
inference(forward_demodulation,[],[f1345,f179]) ).
fof(f1347,plain,
( sum(sum(pred(n4),n2),sum(n0,succ(n4))) != sum(sum(pred(n4),succ(n4)),n2)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1346,f276]) ).
fof(f1348,plain,
( sum(sum(pred(n4),n2),sum(n0,n5)) != sum(sum(pred(n4),n5),n2)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1347,f199]) ).
fof(f1349,plain,
( sum(sum(n3,n2),sum(n0,n5)) != sum(sum(n3,n5),n2)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1348,f188]) ).
fof(f1350,plain,
( sum(n8,n2) != sum(sum(n3,n2),sum(n0,n5))
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1349,f143]) ).
fof(f1351,plain,
( sum(n8,n2) != sum(sum(n3,n2),n5)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1350,f176]) ).
fof(f1352,plain,
( sum(n5,n5) != sum(n8,n2)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1351,f146]) ).
fof(f1353,plain,
( n10 != sum(n5,n5)
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1352,f91]) ).
fof(f1354,plain,
( $false
| ~ spl2_10
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f1353,f121]) ).
fof(f1355,plain,
( ~ spl2_10
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f1354]) ).
fof(f1366,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) != sum(sum(pred(n1),succ(n1)),n2)
| ~ spl2_10
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1346,f288]) ).
fof(f1367,plain,
( sum(sum(pred(n1),n2),sum(n0,n2)) != sum(sum(pred(n1),n2),n2)
| ~ spl2_10
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1366,f202]) ).
fof(f1368,plain,
( sum(sum(n0,n2),sum(n0,n2)) != sum(sum(n0,n2),n2)
| ~ spl2_10
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1367,f191]) ).
fof(f1369,plain,
( sum(n2,n2) != sum(n2,n2)
| ~ spl2_10
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1368,f179]) ).
fof(f1370,plain,
( $false
| ~ spl2_10
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f1369]) ).
fof(f1371,plain,
( ~ spl2_10
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1382,plain,
( sum(sum(pred(n10),n2),sum(n0,succ(n10))) != sum(sum(pred(n10),succ(n10)),n2)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1346,f252]) ).
fof(f1383,plain,
( sum(sum(pred(n10),n2),sum(n0,n0)) != sum(sum(pred(n10),n0),n2)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1382,f193]) ).
fof(f1384,plain,
( sum(sum(n9,n2),sum(n0,n0)) != sum(sum(n9,n0),n2)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1383,f182]) ).
fof(f1385,plain,
( sum(n9,n2) != sum(sum(n9,n2),sum(n0,n0))
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1384,f82]) ).
fof(f1386,plain,
( sum(n9,n2) != sum(sum(n9,n2),n0)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1385,f181]) ).
fof(f1387,plain,
( n0 != sum(n0,n0)
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1386,f80]) ).
fof(f1388,plain,
( $false
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1387,f181]) ).
fof(f1389,plain,
( ~ spl2_10
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1400,plain,
( sum(sum(pred(n9),n2),sum(n0,succ(n9))) != sum(sum(pred(n9),succ(n9)),n2)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1346,f256]) ).
fof(f1401,plain,
( sum(sum(pred(n9),n2),sum(n0,n10)) != sum(sum(pred(n9),n10),n2)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1400,f194]) ).
fof(f1402,plain,
( sum(sum(n8,n2),sum(n0,n10)) != sum(sum(n8,n10),n2)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1401,f183]) ).
fof(f1403,plain,
( sum(n7,n2) != sum(sum(n8,n2),sum(n0,n10))
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1402,f83]) ).
fof(f1404,plain,
( sum(n7,n2) != sum(sum(n8,n2),n10)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1403,f171]) ).
fof(f1405,plain,
( sum(n7,n2) != sum(n10,n10)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1404,f91]) ).
fof(f1406,plain,
( n9 != sum(n7,n2)
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1405,f61]) ).
fof(f1407,plain,
( $false
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f1406,f102]) ).
fof(f1408,plain,
( ~ spl2_10
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1419,plain,
( sum(sum(pred(n8),n2),sum(n0,succ(n8))) != sum(sum(pred(n8),succ(n8)),n2)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1346,f260]) ).
fof(f1420,plain,
( sum(sum(pred(n8),n2),sum(n0,n9)) != sum(sum(pred(n8),n9),n2)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1419,f195]) ).
fof(f1421,plain,
( sum(sum(n7,n2),sum(n0,n9)) != sum(sum(n7,n9),n2)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1420,f184]) ).
fof(f1422,plain,
( sum(n5,n2) != sum(sum(n7,n2),sum(n0,n9))
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1421,f95]) ).
fof(f1423,plain,
( sum(n5,n2) != sum(sum(n7,n2),n9)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1422,f172]) ).
fof(f1424,plain,
( sum(n5,n2) != sum(n9,n9)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1423,f102]) ).
fof(f1425,plain,
( n7 != sum(n5,n2)
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1424,f73]) ).
fof(f1426,plain,
( $false
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f1425,f124]) ).
fof(f1427,plain,
( ~ spl2_10
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1438,plain,
( sum(sum(pred(n0),n2),sum(n0,succ(n0))) != sum(sum(pred(n0),succ(n0)),n2)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1346,f292]) ).
fof(f1439,plain,
( sum(sum(pred(n0),n2),sum(n0,n1)) != sum(sum(pred(n0),n1),n2)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1438,f203]) ).
fof(f1440,plain,
( sum(sum(n10,n2),sum(n0,n1)) != sum(sum(n10,n1),n2)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1439,f192]) ).
fof(f1441,plain,
( sum(n0,n2) != sum(sum(n10,n2),sum(n0,n1))
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1440,f70]) ).
fof(f1442,plain,
( sum(n0,n2) != sum(sum(n10,n2),n1)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1441,f180]) ).
fof(f1443,plain,
( sum(n0,n2) != sum(n1,n1)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1442,f69]) ).
fof(f1444,plain,
( n2 != sum(n0,n2)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1443,f169]) ).
fof(f1445,plain,
( $false
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f1444,f179]) ).
fof(f1446,plain,
( ~ spl2_10
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f1445]) ).
fof(f1457,plain,
( sum(sum(pred(n2),n2),sum(n0,succ(n2))) != sum(sum(pred(n2),succ(n2)),n2)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1346,f284]) ).
fof(f1458,plain,
( sum(sum(pred(n2),n2),sum(n0,n3)) != sum(sum(pred(n2),n3),n2)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1457,f201]) ).
fof(f1459,plain,
( sum(sum(n1,n2),sum(n0,n3)) != sum(sum(n1,n3),n2)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1458,f190]) ).
fof(f1460,plain,
( sum(n4,n2) != sum(sum(n1,n2),sum(n0,n3))
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1459,f167]) ).
fof(f1461,plain,
( sum(n4,n2) != sum(sum(n1,n2),n3)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1460,f178]) ).
fof(f1462,plain,
( sum(n3,n3) != sum(n4,n2)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1461,f168]) ).
fof(f1463,plain,
( n6 != sum(n3,n3)
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1462,f135]) ).
fof(f1464,plain,
( $false
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f1463,f145]) ).
fof(f1465,plain,
( ~ spl2_10
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1476,plain,
( sum(sum(pred(n6),n2),sum(n0,succ(n6))) != sum(sum(pred(n6),succ(n6)),n2)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1346,f268]) ).
fof(f1477,plain,
( sum(sum(pred(n6),n2),sum(n0,n7)) != sum(sum(pred(n6),n7),n2)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1476,f197]) ).
fof(f1478,plain,
( sum(sum(n5,n2),sum(n0,n7)) != sum(sum(n5,n7),n2)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1477,f186]) ).
fof(f1479,plain,
( sum(n1,n2) != sum(sum(n5,n2),sum(n0,n7))
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1478,f119]) ).
fof(f1480,plain,
( sum(n1,n2) != sum(sum(n5,n2),n7)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1479,f174]) ).
fof(f1481,plain,
( sum(n1,n2) != sum(n7,n7)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1480,f124]) ).
fof(f1482,plain,
( n3 != sum(n1,n2)
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1481,f97]) ).
fof(f1483,plain,
( $false
| ~ spl2_10
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f1482,f168]) ).
fof(f1484,plain,
( ~ spl2_10
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f1483]) ).
fof(f1503,plain,
( sum(sum(pred(sK0),succ(n4)),sum(pred(n4),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n4),succ(n4)))
| ~ spl2_7 ),
inference(forward_demodulation,[],[f58,f231]) ).
fof(f1504,plain,
( sum(sum(pred(sK0),n5),sum(pred(n4),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n4),n5))
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1503,f199]) ).
fof(f1505,plain,
( sum(sum(pred(sK0),n5),sum(n3,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n3,n5))
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1504,f188]) ).
fof(f1506,plain,
( sum(sum(pred(sK0),n5),sum(n3,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n8)
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1505,f143]) ).
fof(f1507,plain,
( sum(sum(pred(n1),n5),sum(n3,succ(n1))) != sum(sum(pred(n1),succ(n1)),n8)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1506,f288]) ).
fof(f1508,plain,
( sum(sum(pred(n1),n5),sum(n3,n2)) != sum(sum(pred(n1),n2),n8)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1507,f202]) ).
fof(f1509,plain,
( sum(sum(n0,n5),sum(n3,n2)) != sum(sum(n0,n2),n8)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1508,f191]) ).
fof(f1510,plain,
( sum(n2,n8) != sum(sum(n0,n5),sum(n3,n2))
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1509,f179]) ).
fof(f1511,plain,
( sum(n2,n8) != sum(sum(n0,n5),n5)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1510,f146]) ).
fof(f1512,plain,
( sum(n2,n8) != sum(n5,n5)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1511,f176]) ).
fof(f1513,plain,
( n10 != sum(n2,n8)
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1512,f121]) ).
fof(f1514,plain,
( $false
| ~ spl2_7
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1513,f151]) ).
fof(f1515,plain,
( ~ spl2_7
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1514]) ).
fof(f1516,plain,
( sum(sum(pred(n1),succ(sK1)),sum(pred(sK1),succ(n1))) != sum(sum(pred(n1),succ(n1)),sum(pred(sK1),succ(sK1)))
| ~ spl2_21 ),
inference(forward_demodulation,[],[f58,f288]) ).
fof(f1517,plain,
( sum(sum(pred(n1),succ(sK1)),sum(pred(sK1),n2)) != sum(sum(pred(n1),n2),sum(pred(sK1),succ(sK1)))
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1516,f202]) ).
fof(f1518,plain,
( sum(sum(n0,succ(sK1)),sum(pred(sK1),n2)) != sum(sum(n0,n2),sum(pred(sK1),succ(sK1)))
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1517,f191]) ).
fof(f1519,plain,
( sum(sum(n0,succ(sK1)),sum(pred(sK1),n2)) != sum(n2,sum(pred(sK1),succ(sK1)))
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1518,f179]) ).
fof(f1530,plain,
( sum(sum(n0,succ(n5)),sum(pred(n5),n2)) != sum(n2,sum(pred(n5),succ(n5)))
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1519,f227]) ).
fof(f1531,plain,
( sum(sum(n0,n6),sum(pred(n5),n2)) != sum(n2,sum(pred(n5),n6))
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1530,f198]) ).
fof(f1532,plain,
( sum(sum(n0,n6),sum(n4,n2)) != sum(n2,sum(n4,n6))
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1531,f187]) ).
fof(f1533,plain,
( sum(n2,n10) != sum(sum(n0,n6),sum(n4,n2))
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1532,f131]) ).
fof(f1534,plain,
( sum(n2,n10) != sum(sum(n0,n6),n6)
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1533,f135]) ).
fof(f1535,plain,
( sum(n2,n10) != sum(n6,n6)
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1534,f175]) ).
fof(f1536,plain,
( n1 != sum(n2,n10)
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1535,f109]) ).
fof(f1537,plain,
( $false
| ~ spl2_6
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1536,f149]) ).
fof(f1538,plain,
( ~ spl2_6
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1537]) ).
fof(f1549,plain,
( sum(sum(n0,succ(n7)),sum(pred(n7),n2)) != sum(n2,sum(pred(n7),succ(n7)))
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1519,f219]) ).
fof(f1550,plain,
( sum(sum(n0,n8),sum(pred(n7),n2)) != sum(n2,sum(pred(n7),n8))
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1549,f196]) ).
fof(f1551,plain,
( sum(sum(n0,n8),sum(n6,n2)) != sum(n2,sum(n6,n8))
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1550,f185]) ).
fof(f1552,plain,
( sum(n2,n3) != sum(sum(n0,n8),sum(n6,n2))
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1551,f107]) ).
fof(f1553,plain,
( sum(n2,n3) != sum(sum(n0,n8),n8)
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1552,f113]) ).
fof(f1554,plain,
( sum(n2,n3) != sum(n8,n8)
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1553,f173]) ).
fof(f1555,plain,
( n5 != sum(n2,n3)
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1554,f85]) ).
fof(f1556,plain,
( $false
| ~ spl2_4
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1555,f156]) ).
fof(f1557,plain,
( ~ spl2_4
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1556]) ).
fof(f1568,plain,
( sum(sum(n0,succ(n8)),sum(pred(n8),n2)) != sum(n2,sum(pred(n8),succ(n8)))
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1519,f215]) ).
fof(f1569,plain,
( sum(sum(n0,n9),sum(pred(n8),n2)) != sum(n2,sum(pred(n8),n9))
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1568,f195]) ).
fof(f1570,plain,
( sum(sum(n0,n9),sum(n7,n2)) != sum(n2,sum(n7,n9))
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1569,f184]) ).
fof(f1571,plain,
( sum(n2,n5) != sum(sum(n0,n9),sum(n7,n2))
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1570,f95]) ).
fof(f1572,plain,
( sum(n2,n5) != sum(sum(n0,n9),n9)
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1571,f102]) ).
fof(f1573,plain,
( sum(n2,n5) != sum(n9,n9)
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1572,f172]) ).
fof(f1574,plain,
( n7 != sum(n2,n5)
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1573,f73]) ).
fof(f1575,plain,
( $false
| ~ spl2_3
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1574,f154]) ).
fof(f1576,plain,
( ~ spl2_3
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1575]) ).
fof(f1587,plain,
( sum(sum(n0,succ(n6)),sum(pred(n6),n2)) != sum(n2,sum(pred(n6),succ(n6)))
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1519,f223]) ).
fof(f1588,plain,
( sum(sum(n0,n7),sum(pred(n6),n2)) != sum(n2,sum(pred(n6),n7))
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1587,f197]) ).
fof(f1589,plain,
( sum(sum(n0,n7),sum(n5,n2)) != sum(n2,sum(n5,n7))
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1588,f186]) ).
fof(f1590,plain,
( sum(n2,n1) != sum(sum(n0,n7),sum(n5,n2))
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1589,f119]) ).
fof(f1591,plain,
( sum(n2,n1) != sum(sum(n0,n7),n7)
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1590,f124]) ).
fof(f1592,plain,
( sum(n2,n1) != sum(n7,n7)
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1591,f174]) ).
fof(f1593,plain,
( n3 != sum(n2,n1)
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1592,f97]) ).
fof(f1594,plain,
( $false
| ~ spl2_5
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1593,f158]) ).
fof(f1595,plain,
( ~ spl2_5
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1594]) ).
fof(f1606,plain,
( sum(sum(n0,succ(n0)),sum(pred(n0),n2)) != sum(n2,sum(pred(n0),succ(n0)))
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1519,f247]) ).
fof(f1607,plain,
( sum(sum(n0,n1),sum(pred(n0),n2)) != sum(n2,sum(pred(n0),n1))
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1606,f203]) ).
fof(f1608,plain,
( sum(sum(n0,n1),sum(n10,n2)) != sum(n2,sum(n10,n1))
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1607,f192]) ).
fof(f1609,plain,
( sum(n2,n0) != sum(sum(n0,n1),sum(n10,n2))
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1608,f70]) ).
fof(f1610,plain,
( sum(n2,n0) != sum(sum(n0,n1),n1)
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1609,f69]) ).
fof(f1611,plain,
( sum(n1,n1) != sum(n2,n0)
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1610,f180]) ).
fof(f1612,plain,
( n2 != sum(n1,n1)
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1611,f159]) ).
fof(f1613,plain,
( $false
| ~ spl2_11
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1612,f169]) ).
fof(f1614,plain,
( ~ spl2_11
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1613]) ).
fof(f1625,plain,
( sum(sum(n0,succ(n10)),sum(pred(n10),n2)) != sum(n2,sum(pred(n10),succ(n10)))
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1519,f207]) ).
fof(f1626,plain,
( sum(sum(n0,n0),sum(pred(n10),n2)) != sum(n2,sum(pred(n10),n0))
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1625,f193]) ).
fof(f1627,plain,
( sum(sum(n0,n0),sum(n9,n2)) != sum(n2,sum(n9,n0))
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1626,f182]) ).
fof(f1628,plain,
( sum(n2,n9) != sum(sum(n0,n0),sum(n9,n2))
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1627,f82]) ).
fof(f1629,plain,
( sum(n2,n9) != sum(sum(n0,n0),n0)
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1628,f80]) ).
fof(f1630,plain,
( sum(n0,n0) != sum(n2,n9)
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1629,f181]) ).
fof(f1631,plain,
( n0 != sum(n0,n0)
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_demodulation,[],[f1630,f150]) ).
fof(f1632,plain,
( $false
| ~ spl2_1
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f1631,f181]) ).
fof(f1633,plain,
( ~ spl2_1
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f1632]) ).
fof(f1652,plain,
( sum(sum(pred(sK0),succ(n0)),sum(pred(n0),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n0),succ(n0)))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f58,f247]) ).
fof(f1653,plain,
( sum(sum(pred(sK0),n1),sum(pred(n0),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n0),n1))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f1652,f203]) ).
fof(f1654,plain,
( sum(sum(pred(sK0),n1),sum(n10,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n10,n1))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f1653,f192]) ).
fof(f1655,plain,
( sum(sum(pred(sK0),n1),sum(n10,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n0)
| ~ spl2_11 ),
inference(forward_demodulation,[],[f1654,f70]) ).
fof(f1656,plain,
( sum(sum(pred(n4),n1),sum(n10,succ(n4))) != sum(sum(pred(n4),succ(n4)),n0)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1655,f276]) ).
fof(f1657,plain,
( sum(sum(pred(n4),n1),sum(n10,n5)) != sum(sum(pred(n4),n5),n0)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1656,f199]) ).
fof(f1658,plain,
( sum(sum(n3,n1),sum(n10,n5)) != sum(sum(n3,n5),n0)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1657,f188]) ).
fof(f1659,plain,
( sum(n8,n0) != sum(sum(n3,n1),sum(n10,n5))
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1658,f143]) ).
fof(f1660,plain,
( sum(n8,n0) != sum(sum(n3,n1),n4)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1659,f66]) ).
fof(f1661,plain,
( sum(n4,n4) != sum(n8,n0)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1660,f147]) ).
fof(f1662,plain,
( n8 != sum(n4,n4)
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1661,f93]) ).
fof(f1663,plain,
( $false
| ~ spl2_11
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f1662,f133]) ).
fof(f1664,plain,
( ~ spl2_11
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f1663]) ).
fof(f1674,plain,
( sum(sum(pred(n8),n1),sum(n10,succ(n8))) != sum(sum(pred(n8),succ(n8)),n0)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1655,f260]) ).
fof(f1675,plain,
( sum(sum(pred(n8),n1),sum(n10,n9)) != sum(sum(pred(n8),n9),n0)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1674,f195]) ).
fof(f1676,plain,
( sum(sum(n7,n1),sum(n10,n9)) != sum(sum(n7,n9),n0)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1675,f184]) ).
fof(f1677,plain,
( sum(n5,n0) != sum(sum(n7,n1),sum(n10,n9))
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1676,f95]) ).
fof(f1678,plain,
( sum(n5,n0) != sum(sum(n7,n1),n8)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1677,f62]) ).
fof(f1679,plain,
( sum(n5,n0) != sum(n8,n8)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1678,f103]) ).
fof(f1680,plain,
( n5 != sum(n5,n0)
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1679,f85]) ).
fof(f1681,plain,
( $false
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f1680,f126]) ).
fof(f1682,plain,
( ~ spl2_11
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f1681]) ).
fof(f1692,plain,
( sum(sum(pred(n9),n1),sum(n10,succ(n9))) != sum(sum(pred(n9),succ(n9)),n0)
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1655,f256]) ).
fof(f1693,plain,
( sum(sum(pred(n9),n1),sum(n10,n10)) != sum(sum(pred(n9),n10),n0)
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1692,f194]) ).
fof(f1694,plain,
( sum(sum(n8,n1),sum(n10,n10)) != sum(sum(n8,n10),n0)
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1693,f183]) ).
fof(f1695,plain,
( sum(n7,n0) != sum(sum(n8,n1),sum(n10,n10))
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1694,f83]) ).
fof(f1696,plain,
( sum(n7,n0) != sum(sum(n8,n1),n9)
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1695,f61]) ).
fof(f1697,plain,
( sum(n7,n0) != sum(n9,n9)
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1696,f92]) ).
fof(f1698,plain,
( n7 != sum(n7,n0)
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1697,f73]) ).
fof(f1699,plain,
( $false
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f1698,f104]) ).
fof(f1700,plain,
( ~ spl2_11
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f1699]) ).
fof(f1710,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) != sum(sum(pred(n0),succ(n0)),n0)
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1655,f292]) ).
fof(f1711,plain,
( sum(sum(pred(n0),n1),sum(n10,n1)) != sum(sum(pred(n0),n1),n0)
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1710,f203]) ).
fof(f1712,plain,
( sum(sum(n10,n1),sum(n10,n1)) != sum(sum(n10,n1),n0)
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1711,f192]) ).
fof(f1713,plain,
( sum(n0,n0) != sum(n0,n0)
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1712,f70]) ).
fof(f1714,plain,
( $false
| ~ spl2_11
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f1713]) ).
fof(f1715,plain,
( ~ spl2_11
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f1714]) ).
fof(f1725,plain,
( sum(sum(pred(n10),n1),sum(n10,succ(n10))) != sum(sum(pred(n10),succ(n10)),n0)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1655,f252]) ).
fof(f1726,plain,
( sum(sum(pred(n10),n1),sum(n10,n0)) != sum(sum(pred(n10),n0),n0)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1725,f193]) ).
fof(f1727,plain,
( sum(sum(n9,n1),sum(n10,n0)) != sum(sum(n9,n0),n0)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1726,f182]) ).
fof(f1728,plain,
( sum(n9,n0) != sum(sum(n9,n1),sum(n10,n0))
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1727,f82]) ).
fof(f1729,plain,
( sum(n9,n0) != sum(sum(n9,n1),n10)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1728,f71]) ).
fof(f1730,plain,
( sum(n9,n0) != sum(n10,n10)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1729,f81]) ).
fof(f1731,plain,
( n9 != sum(n9,n0)
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1730,f61]) ).
fof(f1732,plain,
( $false
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1731,f82]) ).
fof(f1733,plain,
( ~ spl2_11
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1732]) ).
fof(f1744,plain,
( sum(sum(pred(n6),n1),sum(n10,succ(n6))) != sum(sum(pred(n6),succ(n6)),n0)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1655,f268]) ).
fof(f1745,plain,
( sum(sum(pred(n6),n1),sum(n10,n7)) != sum(sum(pred(n6),n7),n0)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1744,f197]) ).
fof(f1746,plain,
( sum(sum(n5,n1),sum(n10,n7)) != sum(sum(n5,n7),n0)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1745,f186]) ).
fof(f1747,plain,
( sum(n1,n0) != sum(sum(n5,n1),sum(n10,n7))
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1746,f119]) ).
fof(f1748,plain,
( sum(n1,n0) != sum(sum(n5,n1),n6)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1747,f64]) ).
fof(f1749,plain,
( sum(n1,n0) != sum(n6,n6)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1748,f125]) ).
fof(f1750,plain,
( n1 != sum(n1,n0)
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1749,f109]) ).
fof(f1751,plain,
( $false
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f1750,f170]) ).
fof(f1752,plain,
( ~ spl2_11
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f1751]) ).
fof(f1763,plain,
( sum(sum(pred(n2),n1),sum(n10,succ(n2))) != sum(sum(pred(n2),succ(n2)),n0)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1655,f284]) ).
fof(f1764,plain,
( sum(sum(pred(n2),n1),sum(n10,n3)) != sum(sum(pred(n2),n3),n0)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1763,f201]) ).
fof(f1765,plain,
( sum(sum(n1,n1),sum(n10,n3)) != sum(sum(n1,n3),n0)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1764,f190]) ).
fof(f1766,plain,
( sum(n4,n0) != sum(sum(n1,n1),sum(n10,n3))
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1765,f167]) ).
fof(f1767,plain,
( sum(n4,n0) != sum(sum(n1,n1),n2)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1766,f68]) ).
fof(f1768,plain,
( sum(n2,n2) != sum(n4,n0)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1767,f169]) ).
fof(f1769,plain,
( n4 != sum(n2,n2)
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1768,f137]) ).
fof(f1770,plain,
( $false
| ~ spl2_11
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f1769,f157]) ).
fof(f1771,plain,
( ~ spl2_11
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f1770]) ).
fof(f1790,plain,
( sum(sum(pred(sK0),succ(n7)),sum(pred(n7),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n7),succ(n7)))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f58,f219]) ).
fof(f1791,plain,
( sum(sum(pred(sK0),n8),sum(pred(n7),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n7),n8))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f1790,f196]) ).
fof(f1792,plain,
( sum(sum(pred(sK0),n8),sum(n6,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n6,n8))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f1791,f185]) ).
fof(f1793,plain,
( sum(sum(pred(sK0),n8),sum(n6,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n3)
| ~ spl2_4 ),
inference(forward_demodulation,[],[f1792,f107]) ).
fof(f1794,plain,
( sum(sum(pred(n10),n8),sum(n6,succ(n10))) != sum(sum(pred(n10),succ(n10)),n3)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1793,f252]) ).
fof(f1795,plain,
( sum(sum(pred(n10),n8),sum(n6,n0)) != sum(sum(pred(n10),n0),n3)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1794,f193]) ).
fof(f1796,plain,
( sum(sum(n9,n8),sum(n6,n0)) != sum(sum(n9,n0),n3)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1795,f182]) ).
fof(f1797,plain,
( sum(n9,n3) != sum(sum(n9,n8),sum(n6,n0))
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1796,f82]) ).
fof(f1798,plain,
( sum(n9,n3) != sum(sum(n9,n8),n6)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1797,f115]) ).
fof(f1799,plain,
( sum(n6,n6) != sum(n9,n3)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1798,f74]) ).
fof(f1800,plain,
( n1 != sum(n6,n6)
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1799,f79]) ).
fof(f1801,plain,
( $false
| ~ spl2_4
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1800,f109]) ).
fof(f1802,plain,
( ~ spl2_4
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1801]) ).
fof(f1803,plain,
( sum(sum(pred(n10),succ(sK1)),sum(pred(sK1),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(sK1),succ(sK1)))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f58,f252]) ).
fof(f1804,plain,
( sum(sum(pred(n10),succ(sK1)),sum(pred(sK1),n0)) != sum(sum(pred(n10),n0),sum(pred(sK1),succ(sK1)))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1803,f193]) ).
fof(f1805,plain,
( sum(sum(n9,succ(sK1)),sum(pred(sK1),n0)) != sum(sum(n9,n0),sum(pred(sK1),succ(sK1)))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1804,f182]) ).
fof(f1806,plain,
( sum(sum(n9,succ(sK1)),sum(pred(sK1),n0)) != sum(n9,sum(pred(sK1),succ(sK1)))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1805,f82]) ).
fof(f1816,plain,
( sum(sum(n9,succ(n5)),sum(pred(n5),n0)) != sum(n9,sum(pred(n5),succ(n5)))
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1806,f227]) ).
fof(f1817,plain,
( sum(sum(n9,n6),sum(pred(n5),n0)) != sum(n9,sum(pred(n5),n6))
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1816,f198]) ).
fof(f1818,plain,
( sum(sum(n9,n6),sum(n4,n0)) != sum(n9,sum(n4,n6))
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1817,f187]) ).
fof(f1819,plain,
( sum(n9,n10) != sum(sum(n9,n6),sum(n4,n0))
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1818,f131]) ).
fof(f1820,plain,
( sum(n9,n10) != sum(sum(n9,n6),n4)
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1819,f137]) ).
fof(f1821,plain,
( sum(n4,n4) != sum(n9,n10)
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1820,f76]) ).
fof(f1822,plain,
( n8 != sum(n4,n4)
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1821,f72]) ).
fof(f1823,plain,
( $false
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1822,f133]) ).
fof(f1824,plain,
( ~ spl2_6
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1823]) ).
fof(f1835,plain,
( sum(sum(n9,succ(n10)),sum(pred(n10),n0)) != sum(n9,sum(pred(n10),succ(n10)))
| ~ spl2_1
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1806,f207]) ).
fof(f1836,plain,
( sum(sum(n9,n0),sum(pred(n10),n0)) != sum(n9,sum(pred(n10),n0))
| ~ spl2_1
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1835,f193]) ).
fof(f1837,plain,
( sum(sum(n9,n0),sum(n9,n0)) != sum(n9,sum(n9,n0))
| ~ spl2_1
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1836,f182]) ).
fof(f1838,plain,
( sum(n9,n9) != sum(n9,n9)
| ~ spl2_1
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1837,f82]) ).
fof(f1839,plain,
( $false
| ~ spl2_1
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f1838]) ).
fof(f1840,plain,
( ~ spl2_1
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1839]) ).
fof(f1851,plain,
( sum(sum(n9,succ(n4)),sum(pred(n4),n0)) != sum(n9,sum(pred(n4),succ(n4)))
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1806,f231]) ).
fof(f1852,plain,
( sum(sum(n9,n5),sum(pred(n4),n0)) != sum(n9,sum(pred(n4),n5))
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1851,f199]) ).
fof(f1853,plain,
( sum(sum(n9,n5),sum(n3,n0)) != sum(n9,sum(n3,n5))
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1852,f188]) ).
fof(f1854,plain,
( sum(n9,n8) != sum(sum(n9,n5),sum(n3,n0))
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1853,f143]) ).
fof(f1855,plain,
( sum(n9,n8) != sum(sum(n9,n5),n3)
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1854,f148]) ).
fof(f1856,plain,
( sum(n3,n3) != sum(n9,n8)
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1855,f77]) ).
fof(f1857,plain,
( n6 != sum(n3,n3)
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1856,f74]) ).
fof(f1858,plain,
( $false
| ~ spl2_7
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1857,f145]) ).
fof(f1859,plain,
( ~ spl2_7
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1858]) ).
fof(f1870,plain,
( sum(sum(n9,succ(n6)),sum(pred(n6),n0)) != sum(n9,sum(pred(n6),succ(n6)))
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1806,f223]) ).
fof(f1871,plain,
( sum(sum(n9,n7),sum(pred(n6),n0)) != sum(n9,sum(pred(n6),n7))
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1870,f197]) ).
fof(f1872,plain,
( sum(sum(n9,n7),sum(n5,n0)) != sum(n9,sum(n5,n7))
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1871,f186]) ).
fof(f1873,plain,
( sum(n9,n1) != sum(sum(n9,n7),sum(n5,n0))
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1872,f119]) ).
fof(f1874,plain,
( sum(n9,n1) != sum(sum(n9,n7),n5)
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1873,f126]) ).
fof(f1875,plain,
( sum(n5,n5) != sum(n9,n1)
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1874,f75]) ).
fof(f1876,plain,
( n10 != sum(n5,n5)
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1875,f81]) ).
fof(f1877,plain,
( $false
| ~ spl2_5
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1876,f121]) ).
fof(f1878,plain,
( ~ spl2_5
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1877]) ).
fof(f1889,plain,
( sum(sum(n9,succ(n8)),sum(pred(n8),n0)) != sum(n9,sum(pred(n8),succ(n8)))
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1806,f215]) ).
fof(f1890,plain,
( sum(sum(n9,n9),sum(pred(n8),n0)) != sum(n9,sum(pred(n8),n9))
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1889,f195]) ).
fof(f1891,plain,
( sum(sum(n9,n9),sum(n7,n0)) != sum(n9,sum(n7,n9))
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1890,f184]) ).
fof(f1892,plain,
( sum(n9,n5) != sum(sum(n9,n9),sum(n7,n0))
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1891,f95]) ).
fof(f1893,plain,
( sum(n9,n5) != sum(sum(n9,n9),n7)
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1892,f104]) ).
fof(f1894,plain,
( sum(n7,n7) != sum(n9,n5)
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1893,f73]) ).
fof(f1895,plain,
( n3 != sum(n7,n7)
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_demodulation,[],[f1894,f77]) ).
fof(f1896,plain,
( $false
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1895,f97]) ).
fof(f1897,plain,
( ~ spl2_3
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1896]) ).
fof(f1916,plain,
( sum(sum(pred(sK0),succ(n4)),sum(pred(n4),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n4),succ(n4)))
| ~ spl2_7 ),
inference(forward_demodulation,[],[f58,f231]) ).
fof(f1917,plain,
( sum(sum(pred(sK0),n5),sum(pred(n4),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n4),n5))
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1916,f199]) ).
fof(f1918,plain,
( sum(sum(pred(sK0),n5),sum(n3,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n3,n5))
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1917,f188]) ).
fof(f1919,plain,
( sum(sum(pred(sK0),n5),sum(n3,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n8)
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1918,f143]) ).
fof(f1920,plain,
( sum(sum(pred(n4),n5),sum(n3,succ(n4))) != sum(sum(pred(n4),succ(n4)),n8)
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1919,f276]) ).
fof(f1921,plain,
( sum(sum(pred(n4),n5),sum(n3,n5)) != sum(sum(pred(n4),n5),n8)
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1920,f199]) ).
fof(f1922,plain,
( sum(sum(n3,n5),sum(n3,n5)) != sum(sum(n3,n5),n8)
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1921,f188]) ).
fof(f1923,plain,
( sum(n8,n8) != sum(n8,n8)
| ~ spl2_7
| ~ spl2_18 ),
inference(forward_demodulation,[],[f1922,f143]) ).
fof(f1924,plain,
( $false
| ~ spl2_7
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f1923]) ).
fof(f1925,plain,
( ~ spl2_7
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f1924]) ).
fof(f1935,plain,
( sum(sum(pred(n8),n5),sum(n3,succ(n8))) != sum(sum(pred(n8),succ(n8)),n8)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1919,f260]) ).
fof(f1936,plain,
( sum(sum(pred(n8),n5),sum(n3,n9)) != sum(sum(pred(n8),n9),n8)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1935,f195]) ).
fof(f1937,plain,
( sum(sum(n7,n5),sum(n3,n9)) != sum(sum(n7,n9),n8)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1936,f184]) ).
fof(f1938,plain,
( sum(n5,n8) != sum(sum(n7,n5),sum(n3,n9))
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1937,f95]) ).
fof(f1939,plain,
( sum(n5,n8) != sum(sum(n7,n5),n1)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1938,f139]) ).
fof(f1940,plain,
( sum(n1,n1) != sum(n5,n8)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1939,f99]) ).
fof(f1941,plain,
( n2 != sum(n1,n1)
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_demodulation,[],[f1940,f118]) ).
fof(f1942,plain,
( $false
| ~ spl2_7
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f1941,f169]) ).
fof(f1943,plain,
( ~ spl2_7
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f1942]) ).
fof(f1953,plain,
( sum(sum(pred(n0),n5),sum(n3,succ(n0))) != sum(sum(pred(n0),succ(n0)),n8)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1919,f292]) ).
fof(f1954,plain,
( sum(sum(pred(n0),n5),sum(n3,n1)) != sum(sum(pred(n0),n1),n8)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1953,f203]) ).
fof(f1955,plain,
( sum(sum(n10,n5),sum(n3,n1)) != sum(sum(n10,n1),n8)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1954,f192]) ).
fof(f1956,plain,
( sum(n0,n8) != sum(sum(n10,n5),sum(n3,n1))
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1955,f70]) ).
fof(f1957,plain,
( sum(n0,n8) != sum(sum(n10,n5),n4)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1956,f147]) ).
fof(f1958,plain,
( sum(n0,n8) != sum(n4,n4)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1957,f66]) ).
fof(f1959,plain,
( n8 != sum(n0,n8)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f1958,f133]) ).
fof(f1960,plain,
( $false
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f1959,f173]) ).
fof(f1961,plain,
( ~ spl2_7
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f1960]) ).
fof(f1971,plain,
( sum(sum(pred(n6),n5),sum(n3,succ(n6))) != sum(sum(pred(n6),succ(n6)),n8)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1919,f268]) ).
fof(f1972,plain,
( sum(sum(pred(n6),n5),sum(n3,n7)) != sum(sum(pred(n6),n7),n8)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1971,f197]) ).
fof(f1973,plain,
( sum(sum(n5,n5),sum(n3,n7)) != sum(sum(n5,n7),n8)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1972,f186]) ).
fof(f1974,plain,
( sum(n1,n8) != sum(sum(n5,n5),sum(n3,n7))
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1973,f119]) ).
fof(f1975,plain,
( sum(n1,n8) != sum(sum(n5,n5),n10)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1974,f141]) ).
fof(f1976,plain,
( sum(n1,n8) != sum(n10,n10)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1975,f121]) ).
fof(f1977,plain,
( n9 != sum(n1,n8)
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1976,f61]) ).
fof(f1978,plain,
( $false
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f1977,f162]) ).
fof(f1979,plain,
( ~ spl2_7
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f1978]) ).
fof(f1990,plain,
( sum(sum(pred(n2),n5),sum(n3,succ(n2))) != sum(sum(pred(n2),succ(n2)),n8)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1919,f284]) ).
fof(f1991,plain,
( sum(sum(pred(n2),n5),sum(n3,n3)) != sum(sum(pred(n2),n3),n8)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1990,f201]) ).
fof(f1992,plain,
( sum(sum(n1,n5),sum(n3,n3)) != sum(sum(n1,n3),n8)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1991,f190]) ).
fof(f1993,plain,
( sum(n4,n8) != sum(sum(n1,n5),sum(n3,n3))
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1992,f167]) ).
fof(f1994,plain,
( sum(n4,n8) != sum(sum(n1,n5),n6)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1993,f145]) ).
fof(f1995,plain,
( sum(n4,n8) != sum(n6,n6)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1994,f165]) ).
fof(f1996,plain,
( n1 != sum(n4,n8)
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_demodulation,[],[f1995,f109]) ).
fof(f1997,plain,
( $false
| ~ spl2_7
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f1996,f129]) ).
fof(f1998,plain,
( ~ spl2_7
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f1997]) ).
fof(f2009,plain,
( sum(sum(pred(n9),n5),sum(n3,succ(n9))) != sum(sum(pred(n9),succ(n9)),n8)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f1919,f256]) ).
fof(f2010,plain,
( sum(sum(pred(n9),n5),sum(n3,n10)) != sum(sum(pred(n9),n10),n8)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2009,f194]) ).
fof(f2011,plain,
( sum(sum(n8,n5),sum(n3,n10)) != sum(sum(n8,n10),n8)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2010,f183]) ).
fof(f2012,plain,
( sum(n7,n8) != sum(sum(n8,n5),sum(n3,n10))
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2011,f83]) ).
fof(f2013,plain,
( sum(n7,n8) != sum(sum(n8,n5),n2)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2012,f138]) ).
fof(f2014,plain,
( sum(n2,n2) != sum(n7,n8)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2013,f88]) ).
fof(f2015,plain,
( n4 != sum(n2,n2)
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2014,f96]) ).
fof(f2016,plain,
( $false
| ~ spl2_7
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f2015,f157]) ).
fof(f2017,plain,
( ~ spl2_7
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f2016]) ).
fof(f2037,plain,
( sum(sum(pred(sK0),succ(n8)),sum(pred(n8),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n8),succ(n8)))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f58,f215]) ).
fof(f2038,plain,
( sum(sum(pred(sK0),n9),sum(pred(n8),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n8),n9))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f2037,f195]) ).
fof(f2039,plain,
( sum(sum(pred(sK0),n9),sum(n7,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n7,n9))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f2038,f184]) ).
fof(f2040,plain,
( sum(sum(pred(sK0),n9),sum(n7,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n5)
| ~ spl2_3 ),
inference(forward_demodulation,[],[f2039,f95]) ).
fof(f2041,plain,
( sum(sum(pred(n8),n9),sum(n7,succ(n8))) != sum(sum(pred(n8),succ(n8)),n5)
| ~ spl2_3
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2040,f260]) ).
fof(f2042,plain,
( sum(sum(pred(n8),n9),sum(n7,n9)) != sum(sum(pred(n8),n9),n5)
| ~ spl2_3
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2041,f195]) ).
fof(f2043,plain,
( sum(sum(n7,n9),sum(n7,n9)) != sum(sum(n7,n9),n5)
| ~ spl2_3
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2042,f184]) ).
fof(f2044,plain,
( sum(n5,n5) != sum(n5,n5)
| ~ spl2_3
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2043,f95]) ).
fof(f2045,plain,
( $false
| ~ spl2_3
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f2044]) ).
fof(f2046,plain,
( ~ spl2_3
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f2045]) ).
fof(f2047,plain,
( sum(sum(pred(n8),succ(sK1)),sum(pred(sK1),succ(n8))) != sum(sum(pred(n8),succ(n8)),sum(pred(sK1),succ(sK1)))
| ~ spl2_14 ),
inference(forward_demodulation,[],[f58,f260]) ).
fof(f2048,plain,
( sum(sum(pred(n8),succ(sK1)),sum(pred(sK1),n9)) != sum(sum(pred(n8),n9),sum(pred(sK1),succ(sK1)))
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2047,f195]) ).
fof(f2049,plain,
( sum(sum(n7,succ(sK1)),sum(pred(sK1),n9)) != sum(sum(n7,n9),sum(pred(sK1),succ(sK1)))
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2048,f184]) ).
fof(f2050,plain,
( sum(sum(n7,succ(sK1)),sum(pred(sK1),n9)) != sum(n5,sum(pred(sK1),succ(sK1)))
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2049,f95]) ).
fof(f2061,plain,
( sum(sum(n7,succ(n5)),sum(pred(n5),n9)) != sum(n5,sum(pred(n5),succ(n5)))
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2050,f227]) ).
fof(f2062,plain,
( sum(sum(n7,n6),sum(pred(n5),n9)) != sum(n5,sum(pred(n5),n6))
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2061,f198]) ).
fof(f2063,plain,
( sum(sum(n7,n6),sum(n4,n9)) != sum(n5,sum(n4,n6))
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2062,f187]) ).
fof(f2064,plain,
( sum(n5,n10) != sum(sum(n7,n6),sum(n4,n9))
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2063,f131]) ).
fof(f2065,plain,
( sum(n5,n10) != sum(sum(n7,n6),n2)
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2064,f128]) ).
fof(f2066,plain,
( sum(n2,n2) != sum(n5,n10)
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2065,f98]) ).
fof(f2067,plain,
( n4 != sum(n2,n2)
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2066,f116]) ).
fof(f2068,plain,
( $false
| ~ spl2_6
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f2067,f157]) ).
fof(f2069,plain,
( ~ spl2_6
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f2068]) ).
fof(f2080,plain,
( sum(sum(n7,succ(n10)),sum(pred(n10),n9)) != sum(n5,sum(pred(n10),succ(n10)))
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2050,f207]) ).
fof(f2081,plain,
( sum(sum(n7,n0),sum(pred(n10),n9)) != sum(n5,sum(pred(n10),n0))
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2080,f193]) ).
fof(f2082,plain,
( sum(sum(n7,n0),sum(n9,n9)) != sum(n5,sum(n9,n0))
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2081,f182]) ).
fof(f2083,plain,
( sum(n5,n9) != sum(sum(n7,n0),sum(n9,n9))
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2082,f82]) ).
fof(f2084,plain,
( sum(n5,n9) != sum(sum(n7,n0),n7)
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2083,f73]) ).
fof(f2085,plain,
( sum(n5,n9) != sum(n7,n7)
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2084,f104]) ).
fof(f2086,plain,
( n3 != sum(n5,n9)
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2085,f97]) ).
fof(f2087,plain,
( $false
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f2086,f117]) ).
fof(f2088,plain,
( ~ spl2_1
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f2087]) ).
fof(f2099,plain,
( sum(sum(n7,succ(n6)),sum(pred(n6),n9)) != sum(n5,sum(pred(n6),succ(n6)))
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2050,f223]) ).
fof(f2100,plain,
( sum(sum(n7,n7),sum(pred(n6),n9)) != sum(n5,sum(pred(n6),n7))
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2099,f197]) ).
fof(f2101,plain,
( sum(sum(n7,n7),sum(n5,n9)) != sum(n5,sum(n5,n7))
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2100,f186]) ).
fof(f2102,plain,
( sum(n5,n1) != sum(sum(n7,n7),sum(n5,n9))
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2101,f119]) ).
fof(f2103,plain,
( sum(n5,n1) != sum(sum(n7,n7),n3)
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2102,f117]) ).
fof(f2104,plain,
( sum(n3,n3) != sum(n5,n1)
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2103,f97]) ).
fof(f2105,plain,
( n6 != sum(n3,n3)
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2104,f125]) ).
fof(f2106,plain,
( $false
| ~ spl2_5
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f2105,f145]) ).
fof(f2107,plain,
( ~ spl2_5
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f2106]) ).
fof(f2118,plain,
( sum(sum(n7,succ(n7)),sum(pred(n7),n9)) != sum(n5,sum(pred(n7),succ(n7)))
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2050,f219]) ).
fof(f2119,plain,
( sum(sum(n7,n8),sum(pred(n7),n9)) != sum(n5,sum(pred(n7),n8))
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2118,f196]) ).
fof(f2120,plain,
( sum(sum(n7,n8),sum(n6,n9)) != sum(n5,sum(n6,n8))
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2119,f185]) ).
fof(f2121,plain,
( sum(n5,n3) != sum(sum(n7,n8),sum(n6,n9))
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2120,f107]) ).
fof(f2122,plain,
( sum(n5,n3) != sum(sum(n7,n8),n4)
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2121,f106]) ).
fof(f2123,plain,
( sum(n4,n4) != sum(n5,n3)
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2122,f96]) ).
fof(f2124,plain,
( n8 != sum(n4,n4)
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_demodulation,[],[f2123,f123]) ).
fof(f2125,plain,
( $false
| ~ spl2_4
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f2124,f133]) ).
fof(f2126,plain,
( ~ spl2_4
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f2125]) ).
fof(f2127,plain,
( sum(sum(pred(sK0),succ(n7)),sum(pred(n7),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n7),succ(n7)))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f58,f219]) ).
fof(f2128,plain,
( sum(sum(pred(sK0),n8),sum(pred(n7),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n7),n8))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f2127,f196]) ).
fof(f2129,plain,
( sum(sum(pred(sK0),n8),sum(n6,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n6,n8))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f2128,f185]) ).
fof(f2130,plain,
( sum(sum(pred(sK0),n8),sum(n6,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n3)
| ~ spl2_4 ),
inference(forward_demodulation,[],[f2129,f107]) ).
fof(f2140,plain,
( sum(sum(pred(n4),n8),sum(n6,succ(n4))) != sum(sum(pred(n4),succ(n4)),n3)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2130,f276]) ).
fof(f2141,plain,
( sum(sum(pred(n4),n8),sum(n6,n5)) != sum(sum(pred(n4),n5),n3)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2140,f199]) ).
fof(f2142,plain,
( sum(sum(n3,n8),sum(n6,n5)) != sum(sum(n3,n5),n3)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2141,f188]) ).
fof(f2143,plain,
( sum(n8,n3) != sum(sum(n3,n8),sum(n6,n5))
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2142,f143]) ).
fof(f2144,plain,
( sum(n8,n3) != sum(sum(n3,n8),n0)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2143,f110]) ).
fof(f2145,plain,
( sum(n0,n0) != sum(n8,n3)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2144,f140]) ).
fof(f2146,plain,
( n0 != sum(n0,n0)
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2145,f90]) ).
fof(f2147,plain,
( $false
| ~ spl2_4
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f2146,f181]) ).
fof(f2148,plain,
( ~ spl2_4
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f2147]) ).
fof(f2158,plain,
( sum(sum(pred(n2),n8),sum(n6,succ(n2))) != sum(sum(pred(n2),succ(n2)),n3)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2130,f284]) ).
fof(f2159,plain,
( sum(sum(pred(n2),n8),sum(n6,n3)) != sum(sum(pred(n2),n3),n3)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2158,f201]) ).
fof(f2160,plain,
( sum(sum(n1,n8),sum(n6,n3)) != sum(sum(n1,n3),n3)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2159,f190]) ).
fof(f2161,plain,
( sum(n4,n3) != sum(sum(n1,n8),sum(n6,n3))
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2160,f167]) ).
fof(f2162,plain,
( sum(n4,n3) != sum(sum(n1,n8),n9)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2161,f112]) ).
fof(f2163,plain,
( sum(n4,n3) != sum(n9,n9)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2162,f162]) ).
fof(f2164,plain,
( n7 != sum(n4,n3)
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2163,f73]) ).
fof(f2165,plain,
( $false
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2164,f134]) ).
fof(f2166,plain,
( ~ spl2_4
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f2165]) ).
fof(f2176,plain,
( sum(sum(pred(n0),n8),sum(n6,succ(n0))) != sum(sum(pred(n0),succ(n0)),n3)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2130,f292]) ).
fof(f2177,plain,
( sum(sum(pred(n0),n8),sum(n6,n1)) != sum(sum(pred(n0),n1),n3)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2176,f203]) ).
fof(f2178,plain,
( sum(sum(n10,n8),sum(n6,n1)) != sum(sum(n10,n1),n3)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2177,f192]) ).
fof(f2179,plain,
( sum(n0,n3) != sum(sum(n10,n8),sum(n6,n1))
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2178,f70]) ).
fof(f2180,plain,
( sum(n0,n3) != sum(sum(n10,n8),n7)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2179,f114]) ).
fof(f2181,plain,
( sum(n0,n3) != sum(n7,n7)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2180,f63]) ).
fof(f2182,plain,
( n3 != sum(n0,n3)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2181,f97]) ).
fof(f2183,plain,
( $false
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f2182,f178]) ).
fof(f2184,plain,
( ~ spl2_4
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f2183]) ).
fof(f2194,plain,
( sum(sum(pred(n6),n8),sum(n6,succ(n6))) != sum(sum(pred(n6),succ(n6)),n3)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2130,f268]) ).
fof(f2195,plain,
( sum(sum(pred(n6),n8),sum(n6,n7)) != sum(sum(pred(n6),n7),n3)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2194,f197]) ).
fof(f2196,plain,
( sum(sum(n5,n8),sum(n6,n7)) != sum(sum(n5,n7),n3)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2195,f186]) ).
fof(f2197,plain,
( sum(n1,n3) != sum(sum(n5,n8),sum(n6,n7))
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2196,f119]) ).
fof(f2198,plain,
( sum(n1,n3) != sum(sum(n5,n8),n2)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2197,f108]) ).
fof(f2199,plain,
( sum(n1,n3) != sum(n2,n2)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2198,f118]) ).
fof(f2200,plain,
( n4 != sum(n1,n3)
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2199,f157]) ).
fof(f2201,plain,
( $false
| ~ spl2_4
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f2200,f167]) ).
fof(f2202,plain,
( ~ spl2_4
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f2201]) ).
fof(f2213,plain,
( sum(sum(pred(n9),n8),sum(n6,succ(n9))) != sum(sum(pred(n9),succ(n9)),n3)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2130,f256]) ).
fof(f2214,plain,
( sum(sum(pred(n9),n8),sum(n6,n10)) != sum(sum(pred(n9),n10),n3)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2213,f194]) ).
fof(f2215,plain,
( sum(sum(n8,n8),sum(n6,n10)) != sum(sum(n8,n10),n3)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2214,f183]) ).
fof(f2216,plain,
( sum(n7,n3) != sum(sum(n8,n8),sum(n6,n10))
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2215,f83]) ).
fof(f2217,plain,
( sum(n7,n3) != sum(sum(n8,n8),n5)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2216,f105]) ).
fof(f2218,plain,
( sum(n5,n5) != sum(n7,n3)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2217,f85]) ).
fof(f2219,plain,
( n10 != sum(n5,n5)
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2218,f101]) ).
fof(f2220,plain,
( $false
| ~ spl2_4
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f2219,f121]) ).
fof(f2221,plain,
( ~ spl2_4
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f2220]) ).
fof(f2241,plain,
( sum(sum(pred(sK0),succ(n5)),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),succ(n5)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f58,f227]) ).
fof(f2242,plain,
( sum(sum(pred(sK0),n6),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),n6))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f2241,f198]) ).
fof(f2243,plain,
( sum(sum(pred(sK0),n6),sum(n4,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n4,n6))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f2242,f187]) ).
fof(f2244,plain,
( sum(sum(pred(sK0),n6),sum(n4,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n10)
| ~ spl2_6 ),
inference(forward_demodulation,[],[f2243,f131]) ).
fof(f2245,plain,
( sum(sum(pred(n6),n6),sum(n4,succ(n6))) != sum(sum(pred(n6),succ(n6)),n10)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2244,f268]) ).
fof(f2246,plain,
( sum(sum(pred(n6),n6),sum(n4,n7)) != sum(sum(pred(n6),n7),n10)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2245,f197]) ).
fof(f2247,plain,
( sum(sum(n5,n6),sum(n4,n7)) != sum(sum(n5,n7),n10)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2246,f186]) ).
fof(f2248,plain,
( sum(n1,n10) != sum(sum(n5,n6),sum(n4,n7))
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2247,f119]) ).
fof(f2249,plain,
( sum(n1,n10) != sum(sum(n5,n6),n0)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2248,f130]) ).
fof(f2250,plain,
( sum(n0,n0) != sum(n1,n10)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2249,f120]) ).
fof(f2251,plain,
( n0 != sum(n0,n0)
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2250,f160]) ).
fof(f2252,plain,
( $false
| ~ spl2_6
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f2251,f181]) ).
fof(f2253,plain,
( ~ spl2_6
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f2252]) ).
fof(f2254,plain,
( sum(sum(pred(n6),succ(sK1)),sum(pred(sK1),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(sK1),succ(sK1)))
| ~ spl2_16 ),
inference(forward_demodulation,[],[f58,f268]) ).
fof(f2255,plain,
( sum(sum(pred(n6),succ(sK1)),sum(pred(sK1),n7)) != sum(sum(pred(n6),n7),sum(pred(sK1),succ(sK1)))
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2254,f197]) ).
fof(f2256,plain,
( sum(sum(n5,succ(sK1)),sum(pred(sK1),n7)) != sum(sum(n5,n7),sum(pred(sK1),succ(sK1)))
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2255,f186]) ).
fof(f2257,plain,
( sum(sum(n5,succ(sK1)),sum(pred(sK1),n7)) != sum(n1,sum(pred(sK1),succ(sK1)))
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2256,f119]) ).
fof(f2268,plain,
( sum(sum(n5,succ(n8)),sum(pred(n8),n7)) != sum(n1,sum(pred(n8),succ(n8)))
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2257,f215]) ).
fof(f2269,plain,
( sum(sum(n5,n9),sum(pred(n8),n7)) != sum(n1,sum(pred(n8),n9))
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2268,f195]) ).
fof(f2270,plain,
( sum(sum(n5,n9),sum(n7,n7)) != sum(n1,sum(n7,n9))
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2269,f184]) ).
fof(f2271,plain,
( sum(n1,n5) != sum(sum(n5,n9),sum(n7,n7))
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2270,f95]) ).
fof(f2272,plain,
( sum(n1,n5) != sum(sum(n5,n9),n3)
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2271,f97]) ).
fof(f2273,plain,
( sum(n1,n5) != sum(n3,n3)
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2272,f117]) ).
fof(f2274,plain,
( n6 != sum(n1,n5)
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2273,f145]) ).
fof(f2275,plain,
( $false
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f2274,f165]) ).
fof(f2276,plain,
( ~ spl2_3
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f2275]) ).
fof(f2287,plain,
( sum(sum(n5,succ(n6)),sum(pred(n6),n7)) != sum(n1,sum(pred(n6),succ(n6)))
| ~ spl2_5
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2257,f223]) ).
fof(f2288,plain,
( sum(sum(n5,n7),sum(pred(n6),n7)) != sum(n1,sum(pred(n6),n7))
| ~ spl2_5
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2287,f197]) ).
fof(f2289,plain,
( sum(sum(n5,n7),sum(n5,n7)) != sum(n1,sum(n5,n7))
| ~ spl2_5
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2288,f186]) ).
fof(f2290,plain,
( sum(n1,n1) != sum(n1,n1)
| ~ spl2_5
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2289,f119]) ).
fof(f2291,plain,
( $false
| ~ spl2_5
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f2290]) ).
fof(f2292,plain,
( ~ spl2_5
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f2291]) ).
fof(f2303,plain,
( sum(sum(n5,succ(n10)),sum(pred(n10),n7)) != sum(n1,sum(pred(n10),succ(n10)))
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2257,f207]) ).
fof(f2304,plain,
( sum(sum(n5,n0),sum(pred(n10),n7)) != sum(n1,sum(pred(n10),n0))
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2303,f193]) ).
fof(f2305,plain,
( sum(sum(n5,n0),sum(n9,n7)) != sum(n1,sum(n9,n0))
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2304,f182]) ).
fof(f2306,plain,
( sum(n1,n9) != sum(sum(n5,n0),sum(n9,n7))
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2305,f82]) ).
fof(f2307,plain,
( sum(n1,n9) != sum(sum(n5,n0),n5)
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2306,f75]) ).
fof(f2308,plain,
( sum(n1,n9) != sum(n5,n5)
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2307,f126]) ).
fof(f2309,plain,
( n10 != sum(n1,n9)
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f2308,f121]) ).
fof(f2310,plain,
( $false
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f2309,f161]) ).
fof(f2311,plain,
( ~ spl2_1
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f2310]) ).
fof(f2330,plain,
( sum(sum(pred(sK0),succ(n6)),sum(pred(n6),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n6),succ(n6)))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f58,f223]) ).
fof(f2331,plain,
( sum(sum(pred(sK0),n7),sum(pred(n6),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n6),n7))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f2330,f197]) ).
fof(f2332,plain,
( sum(sum(pred(sK0),n7),sum(n5,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n5,n7))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f2331,f186]) ).
fof(f2333,plain,
( sum(sum(pred(sK0),n7),sum(n5,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n1)
| ~ spl2_5 ),
inference(forward_demodulation,[],[f2332,f119]) ).
fof(f2334,plain,
( sum(sum(pred(n2),n7),sum(n5,succ(n2))) != sum(sum(pred(n2),succ(n2)),n1)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2333,f284]) ).
fof(f2335,plain,
( sum(sum(pred(n2),n7),sum(n5,n3)) != sum(sum(pred(n2),n3),n1)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2334,f201]) ).
fof(f2336,plain,
( sum(sum(n1,n7),sum(n5,n3)) != sum(sum(n1,n3),n1)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2335,f190]) ).
fof(f2337,plain,
( sum(n4,n1) != sum(sum(n1,n7),sum(n5,n3))
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2336,f167]) ).
fof(f2338,plain,
( sum(n4,n1) != sum(sum(n1,n7),n8)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2337,f123]) ).
fof(f2339,plain,
( sum(n4,n1) != sum(n8,n8)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2338,f163]) ).
fof(f2340,plain,
( n5 != sum(n4,n1)
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2339,f85]) ).
fof(f2341,plain,
( $false
| ~ spl2_5
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2340,f136]) ).
fof(f2342,plain,
( ~ spl2_5
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f2341]) ).
fof(f2353,plain,
( sum(sum(pred(n9),n7),sum(n5,succ(n9))) != sum(sum(pred(n9),succ(n9)),n1)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2333,f256]) ).
fof(f2354,plain,
( sum(sum(pred(n9),n7),sum(n5,n10)) != sum(sum(pred(n9),n10),n1)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2353,f194]) ).
fof(f2355,plain,
( sum(sum(n8,n7),sum(n5,n10)) != sum(sum(n8,n10),n1)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2354,f183]) ).
fof(f2356,plain,
( sum(n7,n1) != sum(sum(n8,n7),sum(n5,n10))
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2355,f83]) ).
fof(f2357,plain,
( sum(n7,n1) != sum(sum(n8,n7),n4)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2356,f116]) ).
fof(f2358,plain,
( sum(n4,n4) != sum(n7,n1)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2357,f86]) ).
fof(f2359,plain,
( n8 != sum(n4,n4)
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2358,f103]) ).
fof(f2360,plain,
( $false
| ~ spl2_5
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f2359,f133]) ).
fof(f2361,plain,
( ~ spl2_5
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f2360]) ).
fof(f2372,plain,
( sum(sum(pred(n4),n7),sum(n5,succ(n4))) != sum(sum(pred(n4),succ(n4)),n1)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2333,f276]) ).
fof(f2373,plain,
( sum(sum(pred(n4),n7),sum(n5,n5)) != sum(sum(pred(n4),n5),n1)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2372,f199]) ).
fof(f2374,plain,
( sum(sum(n3,n7),sum(n5,n5)) != sum(sum(n3,n5),n1)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2373,f188]) ).
fof(f2375,plain,
( sum(n8,n1) != sum(sum(n3,n7),sum(n5,n5))
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2374,f143]) ).
fof(f2376,plain,
( sum(n8,n1) != sum(sum(n3,n7),n10)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2375,f121]) ).
fof(f2377,plain,
( sum(n8,n1) != sum(n10,n10)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2376,f141]) ).
fof(f2378,plain,
( n9 != sum(n8,n1)
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2377,f61]) ).
fof(f2379,plain,
( $false
| ~ spl2_5
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f2378,f92]) ).
fof(f2380,plain,
( ~ spl2_5
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f2379]) ).
fof(f2391,plain,
( sum(sum(pred(n0),n7),sum(n5,succ(n0))) != sum(sum(pred(n0),succ(n0)),n1)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2333,f292]) ).
fof(f2392,plain,
( sum(sum(pred(n0),n7),sum(n5,n1)) != sum(sum(pred(n0),n1),n1)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2391,f203]) ).
fof(f2393,plain,
( sum(sum(n10,n7),sum(n5,n1)) != sum(sum(n10,n1),n1)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2392,f192]) ).
fof(f2394,plain,
( sum(n0,n1) != sum(sum(n10,n7),sum(n5,n1))
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2393,f70]) ).
fof(f2395,plain,
( sum(n0,n1) != sum(sum(n10,n7),n6)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2394,f125]) ).
fof(f2396,plain,
( sum(n0,n1) != sum(n6,n6)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2395,f64]) ).
fof(f2397,plain,
( n1 != sum(n0,n1)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2396,f109]) ).
fof(f2398,plain,
( $false
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f2397,f180]) ).
fof(f2399,plain,
( ~ spl2_5
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f2398]) ).
fof(f2418,plain,
( sum(sum(pred(sK0),succ(n5)),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),succ(n5)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f58,f227]) ).
fof(f2419,plain,
( sum(sum(pred(sK0),n6),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),n6))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f2418,f198]) ).
fof(f2420,plain,
( sum(sum(pred(sK0),n6),sum(n4,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n4,n6))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f2419,f187]) ).
fof(f2421,plain,
( sum(sum(pred(sK0),n6),sum(n4,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n10)
| ~ spl2_6 ),
inference(forward_demodulation,[],[f2420,f131]) ).
fof(f2422,plain,
( sum(sum(pred(n2),n6),sum(n4,succ(n2))) != sum(sum(pred(n2),succ(n2)),n10)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2421,f284]) ).
fof(f2423,plain,
( sum(sum(pred(n2),n6),sum(n4,n3)) != sum(sum(pred(n2),n3),n10)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2422,f201]) ).
fof(f2424,plain,
( sum(sum(n1,n6),sum(n4,n3)) != sum(sum(n1,n3),n10)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2423,f190]) ).
fof(f2425,plain,
( sum(n4,n10) != sum(sum(n1,n6),sum(n4,n3))
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2424,f167]) ).
fof(f2426,plain,
( sum(n4,n10) != sum(sum(n1,n6),n7)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2425,f134]) ).
fof(f2427,plain,
( sum(n4,n10) != sum(n7,n7)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2426,f164]) ).
fof(f2428,plain,
( n3 != sum(n4,n10)
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2427,f97]) ).
fof(f2429,plain,
( $false
| ~ spl2_6
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2428,f127]) ).
fof(f2430,plain,
( ~ spl2_6
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f2429]) ).
fof(f2431,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_20 ),
inference(forward_demodulation,[],[f58,f284]) ).
fof(f2432,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),n3)) != sum(sum(pred(n2),n3),sum(pred(sK1),succ(sK1)))
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2431,f201]) ).
fof(f2433,plain,
( sum(sum(n1,succ(sK1)),sum(pred(sK1),n3)) != sum(sum(n1,n3),sum(pred(sK1),succ(sK1)))
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2432,f190]) ).
fof(f2434,plain,
( sum(sum(n1,succ(sK1)),sum(pred(sK1),n3)) != sum(n4,sum(pred(sK1),succ(sK1)))
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2433,f167]) ).
fof(f2444,plain,
( sum(sum(n1,succ(n8)),sum(pred(n8),n3)) != sum(n4,sum(pred(n8),succ(n8)))
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2434,f215]) ).
fof(f2445,plain,
( sum(sum(n1,n9),sum(pred(n8),n3)) != sum(n4,sum(pred(n8),n9))
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2444,f195]) ).
fof(f2446,plain,
( sum(sum(n1,n9),sum(n7,n3)) != sum(n4,sum(n7,n9))
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2445,f184]) ).
fof(f2447,plain,
( sum(n4,n5) != sum(sum(n1,n9),sum(n7,n3))
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2446,f95]) ).
fof(f2448,plain,
( sum(n4,n5) != sum(sum(n1,n9),n10)
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2447,f101]) ).
fof(f2449,plain,
( sum(n4,n5) != sum(n10,n10)
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2448,f161]) ).
fof(f2450,plain,
( n9 != sum(n4,n5)
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2449,f61]) ).
fof(f2451,plain,
( $false
| ~ spl2_3
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2450,f132]) ).
fof(f2452,plain,
( ~ spl2_3
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f2451]) ).
fof(f2463,plain,
( sum(sum(n1,succ(n10)),sum(pred(n10),n3)) != sum(n4,sum(pred(n10),succ(n10)))
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2434,f207]) ).
fof(f2464,plain,
( sum(sum(n1,n0),sum(pred(n10),n3)) != sum(n4,sum(pred(n10),n0))
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2463,f193]) ).
fof(f2465,plain,
( sum(sum(n1,n0),sum(n9,n3)) != sum(n4,sum(n9,n0))
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2464,f182]) ).
fof(f2466,plain,
( sum(n4,n9) != sum(sum(n1,n0),sum(n9,n3))
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2465,f82]) ).
fof(f2467,plain,
( sum(n4,n9) != sum(sum(n1,n0),n1)
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2466,f79]) ).
fof(f2468,plain,
( sum(n1,n1) != sum(n4,n9)
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2467,f170]) ).
fof(f2469,plain,
( n2 != sum(n1,n1)
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_demodulation,[],[f2468,f128]) ).
fof(f2470,plain,
( $false
| ~ spl2_1
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2469,f169]) ).
fof(f2471,plain,
( ~ spl2_1
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f2470]) ).
fof(f2491,plain,
( sum(sum(pred(sK0),succ(n5)),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),succ(n5)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f58,f227]) ).
fof(f2492,plain,
( sum(sum(pred(sK0),n6),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),n6))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f2491,f198]) ).
fof(f2493,plain,
( sum(sum(pred(sK0),n6),sum(n4,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n4,n6))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f2492,f187]) ).
fof(f2494,plain,
( sum(sum(pred(sK0),n6),sum(n4,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n10)
| ~ spl2_6 ),
inference(forward_demodulation,[],[f2493,f131]) ).
fof(f2495,plain,
( sum(sum(pred(n0),n6),sum(n4,succ(n0))) != sum(sum(pred(n0),succ(n0)),n10)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2494,f292]) ).
fof(f2496,plain,
( sum(sum(pred(n0),n6),sum(n4,n1)) != sum(sum(pred(n0),n1),n10)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2495,f203]) ).
fof(f2497,plain,
( sum(sum(n10,n6),sum(n4,n1)) != sum(sum(n10,n1),n10)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2496,f192]) ).
fof(f2498,plain,
( sum(n0,n10) != sum(sum(n10,n6),sum(n4,n1))
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2497,f70]) ).
fof(f2499,plain,
( sum(n0,n10) != sum(sum(n10,n6),n5)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2498,f136]) ).
fof(f2500,plain,
( sum(n0,n10) != sum(n5,n5)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2499,f65]) ).
fof(f2501,plain,
( n10 != sum(n0,n10)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2500,f121]) ).
fof(f2502,plain,
( $false
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f2501,f171]) ).
fof(f2503,plain,
( ~ spl2_6
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f2502]) ).
fof(f2514,plain,
( sum(sum(pred(n9),n6),sum(n4,succ(n9))) != sum(sum(pred(n9),succ(n9)),n10)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2494,f256]) ).
fof(f2515,plain,
( sum(sum(pred(n9),n6),sum(n4,n10)) != sum(sum(pred(n9),n10),n10)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2514,f194]) ).
fof(f2516,plain,
( sum(sum(n8,n6),sum(n4,n10)) != sum(sum(n8,n10),n10)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2515,f183]) ).
fof(f2517,plain,
( sum(n7,n10) != sum(sum(n8,n6),sum(n4,n10))
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2516,f83]) ).
fof(f2518,plain,
( sum(n7,n10) != sum(sum(n8,n6),n3)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2517,f127]) ).
fof(f2519,plain,
( sum(n3,n3) != sum(n7,n10)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2518,f87]) ).
fof(f2520,plain,
( n6 != sum(n3,n3)
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2519,f94]) ).
fof(f2521,plain,
( $false
| ~ spl2_6
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f2520,f145]) ).
fof(f2522,plain,
( ~ spl2_6
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f2521]) ).
fof(f2533,plain,
( sum(sum(pred(n4),n6),sum(n4,succ(n4))) != sum(sum(pred(n4),succ(n4)),n10)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2494,f276]) ).
fof(f2534,plain,
( sum(sum(pred(n4),n6),sum(n4,n5)) != sum(sum(pred(n4),n5),n10)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2533,f199]) ).
fof(f2535,plain,
( sum(sum(n3,n6),sum(n4,n5)) != sum(sum(n3,n5),n10)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2534,f188]) ).
fof(f2536,plain,
( sum(n8,n10) != sum(sum(n3,n6),sum(n4,n5))
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2535,f143]) ).
fof(f2537,plain,
( sum(n8,n10) != sum(sum(n3,n6),n9)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2536,f132]) ).
fof(f2538,plain,
( sum(n8,n10) != sum(n9,n9)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2537,f142]) ).
fof(f2539,plain,
( n7 != sum(n8,n10)
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2538,f73]) ).
fof(f2540,plain,
( $false
| ~ spl2_6
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f2539,f83]) ).
fof(f2541,plain,
( ~ spl2_6
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f2540]) ).
fof(f2561,plain,
( sum(sum(pred(sK0),succ(n10)),sum(pred(n10),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n10),succ(n10)))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f58,f207]) ).
fof(f2562,plain,
( sum(sum(pred(sK0),n0),sum(pred(n10),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n10),n0))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f2561,f193]) ).
fof(f2563,plain,
( sum(sum(pred(sK0),n0),sum(n9,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n9,n0))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f2562,f182]) ).
fof(f2564,plain,
( sum(sum(pred(sK0),n0),sum(n9,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n9)
| ~ spl2_1 ),
inference(forward_demodulation,[],[f2563,f82]) ).
fof(f2565,plain,
( sum(sum(pred(n9),n0),sum(n9,succ(n9))) != sum(sum(pred(n9),succ(n9)),n9)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2564,f256]) ).
fof(f2566,plain,
( sum(sum(pred(n9),n0),sum(n9,n10)) != sum(sum(pred(n9),n10),n9)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2565,f194]) ).
fof(f2567,plain,
( sum(sum(n8,n0),sum(n9,n10)) != sum(sum(n8,n10),n9)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2566,f183]) ).
fof(f2568,plain,
( sum(n7,n9) != sum(sum(n8,n0),sum(n9,n10))
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2567,f83]) ).
fof(f2569,plain,
( sum(n7,n9) != sum(sum(n8,n0),n8)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2568,f72]) ).
fof(f2570,plain,
( sum(n7,n9) != sum(n8,n8)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2569,f93]) ).
fof(f2571,plain,
( n5 != sum(n7,n9)
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2570,f85]) ).
fof(f2572,plain,
( $false
| ~ spl2_1
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f2571,f95]) ).
fof(f2573,plain,
( ~ spl2_1
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f2572]) ).
fof(f2574,plain,
( sum(sum(pred(n9),succ(sK1)),sum(pred(sK1),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(sK1),succ(sK1)))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f58,f256]) ).
fof(f2575,plain,
( sum(sum(pred(n9),succ(sK1)),sum(pred(sK1),n10)) != sum(sum(pred(n9),n10),sum(pred(sK1),succ(sK1)))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2574,f194]) ).
fof(f2576,plain,
( sum(sum(n8,succ(sK1)),sum(pred(sK1),n10)) != sum(sum(n8,n10),sum(pred(sK1),succ(sK1)))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2575,f183]) ).
fof(f2577,plain,
( sum(sum(n8,succ(sK1)),sum(pred(sK1),n10)) != sum(n7,sum(pred(sK1),succ(sK1)))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2576,f83]) ).
fof(f2588,plain,
( sum(sum(n8,succ(n8)),sum(pred(n8),n10)) != sum(n7,sum(pred(n8),succ(n8)))
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2577,f215]) ).
fof(f2589,plain,
( sum(sum(n8,n9),sum(pred(n8),n10)) != sum(n7,sum(pred(n8),n9))
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2588,f195]) ).
fof(f2590,plain,
( sum(sum(n8,n9),sum(n7,n10)) != sum(n7,sum(n7,n9))
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2589,f184]) ).
fof(f2591,plain,
( sum(n7,n5) != sum(sum(n8,n9),sum(n7,n10))
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2590,f95]) ).
fof(f2592,plain,
( sum(n7,n5) != sum(sum(n8,n9),n6)
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2591,f94]) ).
fof(f2593,plain,
( sum(n6,n6) != sum(n7,n5)
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2592,f84]) ).
fof(f2594,plain,
( n1 != sum(n6,n6)
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2593,f99]) ).
fof(f2595,plain,
( $false
| ~ spl2_3
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f2594,f109]) ).
fof(f2596,plain,
( ~ spl2_3
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f2595]) ).
fof(f2615,plain,
( sum(sum(pred(sK0),succ(n10)),sum(pred(n10),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n10),succ(n10)))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f58,f207]) ).
fof(f2616,plain,
( sum(sum(pred(sK0),n0),sum(pred(n10),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n10),n0))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f2615,f193]) ).
fof(f2617,plain,
( sum(sum(pred(sK0),n0),sum(n9,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n9,n0))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f2616,f182]) ).
fof(f2618,plain,
( sum(sum(pred(sK0),n0),sum(n9,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n9)
| ~ spl2_1 ),
inference(forward_demodulation,[],[f2617,f82]) ).
fof(f2619,plain,
( sum(sum(pred(n0),n0),sum(n9,succ(n0))) != sum(sum(pred(n0),succ(n0)),n9)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2618,f292]) ).
fof(f2620,plain,
( sum(sum(pred(n0),n0),sum(n9,n1)) != sum(sum(pred(n0),n1),n9)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2619,f203]) ).
fof(f2621,plain,
( sum(sum(n10,n0),sum(n9,n1)) != sum(sum(n10,n1),n9)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2620,f192]) ).
fof(f2622,plain,
( sum(n0,n9) != sum(sum(n10,n0),sum(n9,n1))
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2621,f70]) ).
fof(f2623,plain,
( sum(n0,n9) != sum(sum(n10,n0),n10)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2622,f81]) ).
fof(f2624,plain,
( sum(n0,n9) != sum(n10,n10)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2623,f71]) ).
fof(f2625,plain,
( n9 != sum(n0,n9)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2624,f61]) ).
fof(f2626,plain,
( $false
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f2625,f172]) ).
fof(f2627,plain,
( ~ spl2_1
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f2626]) ).
fof(f2638,plain,
( sum(sum(pred(n4),n0),sum(n9,succ(n4))) != sum(sum(pred(n4),succ(n4)),n9)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2618,f276]) ).
fof(f2639,plain,
( sum(sum(pred(n4),n0),sum(n9,n5)) != sum(sum(pred(n4),n5),n9)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2638,f199]) ).
fof(f2640,plain,
( sum(sum(n3,n0),sum(n9,n5)) != sum(sum(n3,n5),n9)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2639,f188]) ).
fof(f2641,plain,
( sum(n8,n9) != sum(sum(n3,n0),sum(n9,n5))
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2640,f143]) ).
fof(f2642,plain,
( sum(n8,n9) != sum(sum(n3,n0),n3)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2641,f77]) ).
fof(f2643,plain,
( sum(n3,n3) != sum(n8,n9)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2642,f148]) ).
fof(f2644,plain,
( n6 != sum(n3,n3)
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2643,f84]) ).
fof(f2645,plain,
( $false
| ~ spl2_1
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f2644,f145]) ).
fof(f2646,plain,
( ~ spl2_1
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f2645]) ).
fof(f2647,plain,
( sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4))) != sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1)))
| ~ spl2_18 ),
inference(forward_demodulation,[],[f58,f276]) ).
fof(f2648,plain,
( sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),n5)) != sum(sum(pred(n4),n5),sum(pred(sK1),succ(sK1)))
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2647,f199]) ).
fof(f2649,plain,
( sum(sum(n3,succ(sK1)),sum(pred(sK1),n5)) != sum(sum(n3,n5),sum(pred(sK1),succ(sK1)))
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2648,f188]) ).
fof(f2650,plain,
( sum(sum(n3,succ(sK1)),sum(pred(sK1),n5)) != sum(n8,sum(pred(sK1),succ(sK1)))
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2649,f143]) ).
fof(f2661,plain,
( sum(sum(n3,succ(n8)),sum(pred(n8),n5)) != sum(n8,sum(pred(n8),succ(n8)))
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2650,f215]) ).
fof(f2662,plain,
( sum(sum(n3,n9),sum(pred(n8),n5)) != sum(n8,sum(pred(n8),n9))
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2661,f195]) ).
fof(f2663,plain,
( sum(sum(n3,n9),sum(n7,n5)) != sum(n8,sum(n7,n9))
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2662,f184]) ).
fof(f2664,plain,
( sum(n8,n5) != sum(sum(n3,n9),sum(n7,n5))
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2663,f95]) ).
fof(f2665,plain,
( sum(n8,n5) != sum(sum(n3,n9),n1)
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2664,f99]) ).
fof(f2666,plain,
( sum(n1,n1) != sum(n8,n5)
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2665,f139]) ).
fof(f2667,plain,
( n2 != sum(n1,n1)
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_demodulation,[],[f2666,f88]) ).
fof(f2668,plain,
( $false
| ~ spl2_3
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f2667,f169]) ).
fof(f2669,plain,
( ~ spl2_3
| ~ spl2_18 ),
inference(avatar_contradiction_clause,[],[f2668]) ).
fof(f2670,plain,
( sum(sum(pred(sK0),succ(n8)),sum(pred(n8),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n8),succ(n8)))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f58,f215]) ).
fof(f2671,plain,
( sum(sum(pred(sK0),n9),sum(pred(n8),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n8),n9))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f2670,f195]) ).
fof(f2672,plain,
( sum(sum(pred(sK0),n9),sum(n7,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n7,n9))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f2671,f184]) ).
fof(f2673,plain,
( sum(sum(pred(sK0),n9),sum(n7,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n5)
| ~ spl2_3 ),
inference(forward_demodulation,[],[f2672,f95]) ).
fof(f2684,plain,
( sum(sum(pred(n0),n9),sum(n7,succ(n0))) != sum(sum(pred(n0),succ(n0)),n5)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2673,f292]) ).
fof(f2685,plain,
( sum(sum(pred(n0),n9),sum(n7,n1)) != sum(sum(pred(n0),n1),n5)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2684,f203]) ).
fof(f2686,plain,
( sum(sum(n10,n9),sum(n7,n1)) != sum(sum(n10,n1),n5)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2685,f192]) ).
fof(f2687,plain,
( sum(n0,n5) != sum(sum(n10,n9),sum(n7,n1))
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2686,f70]) ).
fof(f2688,plain,
( sum(n0,n5) != sum(sum(n10,n9),n8)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2687,f103]) ).
fof(f2689,plain,
( sum(n0,n5) != sum(n8,n8)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2688,f62]) ).
fof(f2690,plain,
( n5 != sum(n0,n5)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2689,f85]) ).
fof(f2691,plain,
( $false
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f2690,f176]) ).
fof(f2692,plain,
( ~ spl2_3
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f2691]) ).
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,[],[f248]) ).
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,[],[f293]) ).
cnf(s3,plain,
( ~ spl2_2
| ~ spl2_12 ),
inference(sat_conversion,[],[f306]) ).
cnf(s4,plain,
( ~ spl2_2
| ~ spl2_13 ),
inference(sat_conversion,[],[f313]) ).
cnf(s5,plain,
( ~ spl2_2
| ~ spl2_14 ),
inference(sat_conversion,[],[f324]) ).
cnf(s6,plain,
( ~ spl2_2
| ~ spl2_15 ),
inference(sat_conversion,[],[f336]) ).
cnf(s7,plain,
( ~ spl2_2
| ~ spl2_16 ),
inference(sat_conversion,[],[f349]) ).
cnf(s8,plain,
( ~ spl2_2
| ~ spl2_17 ),
inference(sat_conversion,[],[f363]) ).
cnf(s9,plain,
( ~ spl2_2
| ~ spl2_18 ),
inference(sat_conversion,[],[f378]) ).
cnf(s10,plain,
( ~ spl2_2
| ~ spl2_19 ),
inference(sat_conversion,[],[f394]) ).
cnf(s11,plain,
( ~ spl2_2
| ~ spl2_20 ),
inference(sat_conversion,[],[f411]) ).
cnf(s12,plain,
( ~ spl2_2
| ~ spl2_21 ),
inference(sat_conversion,[],[f429]) ).
cnf(s13,plain,
( ~ spl2_2
| ~ spl2_22 ),
inference(sat_conversion,[],[f448]) ).
cnf(s14,plain,
( ~ spl2_9
| ~ spl2_15 ),
inference(sat_conversion,[],[f471]) ).
cnf(s15,plain,
( ~ spl2_6
| ~ spl2_15 ),
inference(sat_conversion,[],[f486]) ).
cnf(s16,plain,
( ~ spl2_1
| ~ spl2_15 ),
inference(sat_conversion,[],[f498]) ).
cnf(s17,plain,
( ~ spl2_7
| ~ spl2_15 ),
inference(sat_conversion,[],[f510]) ).
cnf(s18,plain,
( ~ spl2_5
| ~ spl2_15 ),
inference(sat_conversion,[],[f524]) ).
cnf(s19,plain,
( ~ spl2_4
| ~ spl2_15 ),
inference(sat_conversion,[],[f536]) ).
cnf(s20,plain,
( ~ spl2_3
| ~ spl2_15 ),
inference(sat_conversion,[],[f552]) ).
cnf(s21,plain,
( ~ spl2_8
| ~ spl2_15 ),
inference(sat_conversion,[],[f569]) ).
cnf(s22,plain,
( ~ spl2_10
| ~ spl2_15 ),
inference(sat_conversion,[],[f587]) ).
cnf(s23,plain,
( ~ spl2_11
| ~ spl2_15 ),
inference(sat_conversion,[],[f606]) ).
cnf(s24,plain,
( ~ spl2_8
| ~ spl2_17 ),
inference(sat_conversion,[],[f637]) ).
cnf(s25,plain,
( ~ spl2_8
| ~ spl2_21 ),
inference(sat_conversion,[],[f655]) ).
cnf(s26,plain,
( ~ spl2_8
| ~ spl2_13 ),
inference(sat_conversion,[],[f673]) ).
cnf(s27,plain,
( ~ spl2_8
| ~ spl2_19 ),
inference(sat_conversion,[],[f688]) ).
cnf(s28,plain,
( ~ spl2_8
| ~ spl2_18 ),
inference(sat_conversion,[],[f706]) ).
cnf(s29,plain,
( ~ spl2_8
| ~ spl2_12 ),
inference(sat_conversion,[],[f724]) ).
cnf(s30,plain,
( ~ spl2_8
| ~ spl2_22 ),
inference(sat_conversion,[],[f743]) ).
cnf(s31,plain,
( ~ spl2_8
| ~ spl2_16 ),
inference(sat_conversion,[],[f762]) ).
cnf(s32,plain,
( ~ spl2_8
| ~ spl2_20 ),
inference(sat_conversion,[],[f781]) ).
cnf(s33,plain,
( ~ spl2_8
| ~ spl2_14 ),
inference(sat_conversion,[],[f800]) ).
cnf(s34,plain,
( ~ spl2_9
| ~ spl2_17 ),
inference(sat_conversion,[],[f831]) ).
cnf(s35,plain,
( ~ spl2_3
| ~ spl2_17 ),
inference(sat_conversion,[],[f853]) ).
cnf(s36,plain,
( ~ spl2_10
| ~ spl2_17 ),
inference(sat_conversion,[],[f871]) ).
cnf(s37,plain,
( ~ spl2_7
| ~ spl2_17 ),
inference(sat_conversion,[],[f889]) ).
cnf(s38,plain,
( ~ spl2_1
| ~ spl2_17 ),
inference(sat_conversion,[],[f907]) ).
cnf(s39,plain,
( ~ spl2_6
| ~ spl2_17 ),
inference(sat_conversion,[],[f922]) ).
cnf(s40,plain,
( ~ spl2_4
| ~ spl2_17 ),
inference(sat_conversion,[],[f940]) ).
cnf(s41,plain,
( ~ spl2_11
| ~ spl2_17 ),
inference(sat_conversion,[],[f959]) ).
cnf(s42,plain,
( ~ spl2_5
| ~ spl2_17 ),
inference(sat_conversion,[],[f978]) ).
cnf(s43,plain,
( ~ spl2_9
| ~ spl2_18 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s44,plain,
( ~ spl2_9
| ~ spl2_22 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s45,plain,
( ~ spl2_9
| ~ spl2_19 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s46,plain,
( ~ spl2_9
| ~ spl2_14 ),
inference(sat_conversion,[],[f1064]) ).
cnf(s47,plain,
( ~ spl2_9
| ~ spl2_12 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s48,plain,
( ~ spl2_9
| ~ spl2_13 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s49,plain,
( ~ spl2_9
| ~ spl2_20 ),
inference(sat_conversion,[],[f1118]) ).
cnf(s50,plain,
( ~ spl2_9
| ~ spl2_16 ),
inference(sat_conversion,[],[f1137]) ).
cnf(s51,plain,
( ~ spl2_9
| ~ spl2_21 ),
inference(sat_conversion,[],[f1156]) ).
cnf(s52,plain,
( ~ spl2_4
| ~ spl2_19 ),
inference(sat_conversion,[],[f1187]) ).
cnf(s53,plain,
( ~ spl2_5
| ~ spl2_19 ),
inference(sat_conversion,[],[f1210]) ).
cnf(s54,plain,
( ~ spl2_1
| ~ spl2_19 ),
inference(sat_conversion,[],[f1229]) ).
cnf(s55,plain,
( ~ spl2_7
| ~ spl2_19 ),
inference(sat_conversion,[],[f1248]) ).
cnf(s56,plain,
( ~ spl2_3
| ~ spl2_19 ),
inference(sat_conversion,[],[f1267]) ).
cnf(s57,plain,
( ~ spl2_11
| ~ spl2_19 ),
inference(sat_conversion,[],[f1286]) ).
cnf(s58,plain,
( ~ spl2_10
| ~ spl2_19 ),
inference(sat_conversion,[],[f1305]) ).
cnf(s59,plain,
( ~ spl2_6
| ~ spl2_19 ),
inference(sat_conversion,[],[f1324]) ).
cnf(s60,plain,
( ~ spl2_10
| ~ spl2_18 ),
inference(sat_conversion,[],[f1355]) ).
cnf(s61,plain,
( ~ spl2_10
| ~ spl2_21 ),
inference(sat_conversion,[],[f1371]) ).
cnf(s62,plain,
( ~ spl2_10
| ~ spl2_12 ),
inference(sat_conversion,[],[f1389]) ).
cnf(s63,plain,
( ~ spl2_10
| ~ spl2_13 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s64,plain,
( ~ spl2_10
| ~ spl2_14 ),
inference(sat_conversion,[],[f1427]) ).
cnf(s65,plain,
( ~ spl2_10
| ~ spl2_22 ),
inference(sat_conversion,[],[f1446]) ).
cnf(s66,plain,
( ~ spl2_10
| ~ spl2_20 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s67,plain,
( ~ spl2_10
| ~ spl2_16 ),
inference(sat_conversion,[],[f1484]) ).
cnf(s68,plain,
( ~ spl2_7
| ~ spl2_21 ),
inference(sat_conversion,[],[f1515]) ).
cnf(s69,plain,
( ~ spl2_6
| ~ spl2_21 ),
inference(sat_conversion,[],[f1538]) ).
cnf(s70,plain,
( ~ spl2_4
| ~ spl2_21 ),
inference(sat_conversion,[],[f1557]) ).
cnf(s71,plain,
( ~ spl2_3
| ~ spl2_21 ),
inference(sat_conversion,[],[f1576]) ).
cnf(s72,plain,
( ~ spl2_5
| ~ spl2_21 ),
inference(sat_conversion,[],[f1595]) ).
cnf(s73,plain,
( ~ spl2_11
| ~ spl2_21 ),
inference(sat_conversion,[],[f1614]) ).
cnf(s74,plain,
( ~ spl2_1
| ~ spl2_21 ),
inference(sat_conversion,[],[f1633]) ).
cnf(s75,plain,
( ~ spl2_11
| ~ spl2_18 ),
inference(sat_conversion,[],[f1664]) ).
cnf(s76,plain,
( ~ spl2_11
| ~ spl2_14 ),
inference(sat_conversion,[],[f1682]) ).
cnf(s77,plain,
( ~ spl2_11
| ~ spl2_13 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s78,plain,
( ~ spl2_11
| ~ spl2_22 ),
inference(sat_conversion,[],[f1715]) ).
cnf(s79,plain,
( ~ spl2_11
| ~ spl2_12 ),
inference(sat_conversion,[],[f1733]) ).
cnf(s80,plain,
( ~ spl2_11
| ~ spl2_16 ),
inference(sat_conversion,[],[f1752]) ).
cnf(s81,plain,
( ~ spl2_11
| ~ spl2_20 ),
inference(sat_conversion,[],[f1771]) ).
cnf(s82,plain,
( ~ spl2_4
| ~ spl2_12 ),
inference(sat_conversion,[],[f1802]) ).
cnf(s83,plain,
( ~ spl2_6
| ~ spl2_12 ),
inference(sat_conversion,[],[f1824]) ).
cnf(s84,plain,
( ~ spl2_1
| ~ spl2_12 ),
inference(sat_conversion,[],[f1840]) ).
cnf(s85,plain,
( ~ spl2_7
| ~ spl2_12 ),
inference(sat_conversion,[],[f1859]) ).
cnf(s86,plain,
( ~ spl2_5
| ~ spl2_12 ),
inference(sat_conversion,[],[f1878]) ).
cnf(s87,plain,
( ~ spl2_3
| ~ spl2_12 ),
inference(sat_conversion,[],[f1897]) ).
cnf(s88,plain,
( ~ spl2_7
| ~ spl2_18 ),
inference(sat_conversion,[],[f1925]) ).
cnf(s89,plain,
( ~ spl2_7
| ~ spl2_14 ),
inference(sat_conversion,[],[f1943]) ).
cnf(s90,plain,
( ~ spl2_7
| ~ spl2_22 ),
inference(sat_conversion,[],[f1961]) ).
cnf(s91,plain,
( ~ spl2_7
| ~ spl2_16 ),
inference(sat_conversion,[],[f1979]) ).
cnf(s92,plain,
( ~ spl2_7
| ~ spl2_20 ),
inference(sat_conversion,[],[f1998]) ).
cnf(s93,plain,
( ~ spl2_7
| ~ spl2_13 ),
inference(sat_conversion,[],[f2017]) ).
cnf(s94,plain,
( ~ spl2_3
| ~ spl2_14 ),
inference(sat_conversion,[],[f2046]) ).
cnf(s95,plain,
( ~ spl2_6
| ~ spl2_14 ),
inference(sat_conversion,[],[f2069]) ).
cnf(s96,plain,
( ~ spl2_1
| ~ spl2_14 ),
inference(sat_conversion,[],[f2088]) ).
cnf(s97,plain,
( ~ spl2_5
| ~ spl2_14 ),
inference(sat_conversion,[],[f2107]) ).
cnf(s98,plain,
( ~ spl2_4
| ~ spl2_14 ),
inference(sat_conversion,[],[f2126]) ).
cnf(s99,plain,
( ~ spl2_4
| ~ spl2_18 ),
inference(sat_conversion,[],[f2148]) ).
cnf(s100,plain,
( ~ spl2_4
| ~ spl2_20 ),
inference(sat_conversion,[],[f2166]) ).
cnf(s101,plain,
( ~ spl2_4
| ~ spl2_22 ),
inference(sat_conversion,[],[f2184]) ).
cnf(s102,plain,
( ~ spl2_4
| ~ spl2_16 ),
inference(sat_conversion,[],[f2202]) ).
cnf(s103,plain,
( ~ spl2_4
| ~ spl2_13 ),
inference(sat_conversion,[],[f2221]) ).
cnf(s104,plain,
( ~ spl2_6
| ~ spl2_16 ),
inference(sat_conversion,[],[f2253]) ).
cnf(s105,plain,
( ~ spl2_3
| ~ spl2_16 ),
inference(sat_conversion,[],[f2276]) ).
cnf(s106,plain,
( ~ spl2_5
| ~ spl2_16 ),
inference(sat_conversion,[],[f2292]) ).
cnf(s107,plain,
( ~ spl2_1
| ~ spl2_16 ),
inference(sat_conversion,[],[f2311]) ).
cnf(s108,plain,
( ~ spl2_5
| ~ spl2_20 ),
inference(sat_conversion,[],[f2342]) ).
cnf(s109,plain,
( ~ spl2_5
| ~ spl2_13 ),
inference(sat_conversion,[],[f2361]) ).
cnf(s110,plain,
( ~ spl2_5
| ~ spl2_18 ),
inference(sat_conversion,[],[f2380]) ).
cnf(s111,plain,
( ~ spl2_5
| ~ spl2_22 ),
inference(sat_conversion,[],[f2399]) ).
cnf(s112,plain,
( ~ spl2_6
| ~ spl2_20 ),
inference(sat_conversion,[],[f2430]) ).
cnf(s113,plain,
( ~ spl2_3
| ~ spl2_20 ),
inference(sat_conversion,[],[f2452]) ).
cnf(s114,plain,
( ~ spl2_1
| ~ spl2_20 ),
inference(sat_conversion,[],[f2471]) ).
cnf(s115,plain,
( ~ spl2_6
| ~ spl2_22 ),
inference(sat_conversion,[],[f2503]) ).
cnf(s116,plain,
( ~ spl2_6
| ~ spl2_13 ),
inference(sat_conversion,[],[f2522]) ).
cnf(s117,plain,
( ~ spl2_6
| ~ spl2_18 ),
inference(sat_conversion,[],[f2541]) ).
cnf(s118,plain,
( ~ spl2_1
| ~ spl2_13 ),
inference(sat_conversion,[],[f2573]) ).
cnf(s119,plain,
( ~ spl2_3
| ~ spl2_13 ),
inference(sat_conversion,[],[f2596]) ).
cnf(s120,plain,
( ~ spl2_1
| ~ spl2_22 ),
inference(sat_conversion,[],[f2627]) ).
cnf(s121,plain,
( ~ spl2_1
| ~ spl2_18 ),
inference(sat_conversion,[],[f2646]) ).
cnf(s122,plain,
( ~ spl2_3
| ~ spl2_18 ),
inference(sat_conversion,[],[f2669]) ).
cnf(s123,plain,
( ~ spl2_3
| ~ spl2_22 ),
inference(sat_conversion,[],[f2692]) ).
cnf(s124,plain,
~ spl2_11,
inference(rat,[],[s2,s23,s41,s57,s73,s75,s76,s77,s78,s79,s80,s81]) ).
cnf(s125,plain,
~ spl2_10,
inference(rat,[],[s2,s22,s36,s58,s60,s61,s62,s63,s64,s65,s66,s67]) ).
cnf(s126,plain,
~ spl2_9,
inference(rat,[],[s2,s14,s34,s43,s44,s45,s46,s47,s48,s49,s50,s51]) ).
cnf(s127,plain,
~ spl2_8,
inference(rat,[],[s2,s21,s24,s25,s26,s27,s28,s29,s30,s31,s32,s33]) ).
cnf(s128,plain,
~ spl2_7,
inference(rat,[],[s2,s17,s37,s55,s68,s85,s88,s89,s90,s91,s92,s93]) ).
cnf(s129,plain,
~ spl2_6,
inference(rat,[],[s2,s15,s39,s59,s69,s83,s95,s104,s112,s115,s116,s117]) ).
cnf(s130,plain,
~ spl2_5,
inference(rat,[],[s2,s18,s42,s53,s72,s86,s97,s106,s108,s109,s110,s111]) ).
cnf(s131,plain,
~ spl2_4,
inference(rat,[],[s2,s19,s40,s52,s70,s82,s98,s99,s100,s101,s102,s103]) ).
cnf(s132,plain,
~ spl2_3,
inference(rat,[],[s2,s20,s35,s56,s71,s87,s94,s105,s113,s119,s122,s123]) ).
cnf(s133,plain,
~ spl2_2,
inference(rat,[],[s2,s3,s4,s5,s6,s7,s8,s9,s10,s11,s12,s13]) ).
cnf(s134,plain,
spl2_1,
inference(rat,[],[s1,s126,s129,s128,s130,s131,s127,s125,s124,s132,s133]) ).
cnf(s135,plain,
~ spl2_18,
inference(rat,[],[s121,s134]) ).
cnf(s136,plain,
~ spl2_22,
inference(rat,[],[s120,s134]) ).
cnf(s137,plain,
~ spl2_13,
inference(rat,[],[s118,s134]) ).
cnf(s138,plain,
~ spl2_20,
inference(rat,[],[s114,s134]) ).
cnf(s139,plain,
~ spl2_16,
inference(rat,[],[s107,s134]) ).
cnf(s140,plain,
~ spl2_14,
inference(rat,[],[s96,s134]) ).
cnf(s141,plain,
~ spl2_12,
inference(rat,[],[s84,s134]) ).
cnf(s142,plain,
~ spl2_21,
inference(rat,[],[s74,s134]) ).
cnf(s143,plain,
~ spl2_19,
inference(rat,[],[s54,s134]) ).
cnf(s144,plain,
~ spl2_17,
inference(rat,[],[s38,s134]) ).
cnf(s145,plain,
~ spl2_15,
inference(rat,[],[s16,s134]) ).
cnf(s146,plain,
$false,
inference(rat,[],[s2,s136,s142,s138,s143,s135,s144,s139,s145,s140,s137,s141]) ).
fof(f2693,plain,
$false,
inference(avatar_sat_refutation,[],[s146]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 19:43:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.94 % (1264703)Detected formulas, will run a generic FOF schedule.
% 0.37/0.94 % (1264713)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1242246826:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.37/0.94 % (1264712)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2962608673:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.37/0.94 % (1264708)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=98294627:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.37/0.94 % (1264710)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=205156617:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.37/0.94 % (1264714)dis-21_1_sil=8000:lcm=predicate:random_seed=3181477097:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.37/0.94 % (1264711)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1516596018:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.37/0.94 % (1264709)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3945174469:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.37/0.94 % (1264712)Refutation not found, incomplete strategy
% 0.37/0.94 % (1264712)------------------------------
% 0.37/0.94 % (1264712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.37/0.94 % (1264712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.94 % (1264711)Refutation not found, incomplete strategy
% 0.37/0.94 % (1264711)------------------------------
% 0.37/0.94 % (1264711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.37/0.94 % (1264712)CaDiCaL version: 2.1.3
% 0.37/0.94 % (1264712)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.94 % (1264712)Time elapsed: 0.0000 s
% 0.37/0.94 % (1264712)Peak memory usage: 86 MB
% 0.37/0.94 % (1264711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.94 % (1264711)CaDiCaL version: 2.1.3
% 0.37/0.94 % (1264711)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.94 % (1264711)Time elapsed: 0.0000 s
% 0.37/0.94 % (1264711)Peak memory usage: 86 MB
% 0.37/0.94 % (1264714)Refutation not found, incomplete strategy
% 0.37/0.94 % (1264714)------------------------------
% 0.37/0.94 % (1264714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.37/0.94 % (1264714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.94 % (1264714)CaDiCaL version: 2.1.3
% 0.37/0.94 % (1264714)Termination reason: Refutation not found, incomplete strategy
% 0.37/0.94 % (1264714)Time elapsed: 0.005 s
% 0.37/0.94 % (1264714)Peak memory usage: 88 MB
% 0.37/0.94 % (1264714)Instructions burned: 8 (million)
% 0.37/0.94 % (1264713)First to succeed.
% 0.37/0.94 % (1264713)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1264703"
% 0.37/0.94 % (1264713)Refutation found. Thanks to Tanya!
% 0.37/0.94 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.13 % (1264713)------------------------------
% 0.17/1.13 % (1264713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.13 % (1264713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.13 % (1264713)CaDiCaL version: 2.1.3
% 0.17/1.13 % (1264713)Termination reason: Refutation
% 0.17/1.13 % (1264713)Time elapsed: 0.031 s
% 0.17/1.13 % (1264713)Peak memory usage: 90 MB
% 0.17/1.13 % (1264713)Instructions burned: 114 (million)
% 0.17/1.13 % (1264713)------------------------------
% 0.17/1.13 % (1264713)------------------------------
% 0.17/1.13 % (1264703)Success in time 0.323 s
% 0.17/1.13 % Vampire exiting
%------------------------------------------------------------------------------