%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM375+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 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:18:25 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 1625 ( 179 unt; 22 def)
% Number of atoms : 4444 (1485 equ)
% Maximal formula atoms : 232 ( 2 avg)
% Number of connectives : 5665 (2846 ~;2586 |; 211 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 215 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 0 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1,X2] :
( 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 )
& X2 = sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1))))
& X2 != n0
& X2 != n1
& X2 != n2
& X2 != n3
& X2 != n4
& X2 != n5
& X2 != n6
& X2 != n7
& X2 != n8
& X2 != n9
& X2 != n10
& 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,
( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f1]) ).
fof(f3,plain,
( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f1]) ).
fof(f59,plain,
n10 != sK2,
inference(cnf_transformation,[],[f1]) ).
fof(f60,plain,
n9 != sK2,
inference(cnf_transformation,[],[f1]) ).
fof(f61,plain,
n8 != sK2,
inference(cnf_transformation,[],[f1]) ).
fof(f62,plain,
n7 != sK2,
inference(cnf_transformation,[],[f1]) ).
fof(f63,plain,
n6 != sK2,
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
n5 != sK2,
inference(cnf_transformation,[],[f1]) ).
fof(f65,plain,
n4 != sK2,
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
n3 != sK2,
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
n2 != sK2,
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
n1 != sK2,
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
n0 != sK2,
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1)))),
inference(cnf_transformation,[],[f1]) ).
fof(f71,plain,
n9 = sum(n10,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
n8 = sum(n10,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f73,plain,
n7 = sum(n10,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
n6 = sum(n10,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f75,plain,
n5 = sum(n10,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f76,plain,
n4 = sum(n10,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f77,plain,
n3 = sum(n10,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f78,plain,
n2 = sum(n10,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f79,plain,
n1 = sum(n10,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f80,plain,
n0 = sum(n10,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f81,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f82,plain,
n8 = sum(n9,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f83,plain,
n7 = sum(n9,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
n6 = sum(n9,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f85,plain,
n5 = sum(n9,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f86,plain,
n4 = sum(n9,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f87,plain,
n3 = sum(n9,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f88,plain,
n2 = sum(n9,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f89,plain,
n1 = sum(n9,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f90,plain,
n0 = sum(n9,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f91,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f92,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f93,plain,
n7 = sum(n8,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f94,plain,
n6 = sum(n8,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f95,plain,
n5 = sum(n8,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f96,plain,
n4 = sum(n8,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f97,plain,
n3 = sum(n8,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f98,plain,
n2 = sum(n8,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f99,plain,
n1 = sum(n8,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f100,plain,
n0 = sum(n8,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f101,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f102,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f103,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f104,plain,
n6 = sum(n7,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f105,plain,
n5 = sum(n7,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f106,plain,
n4 = sum(n7,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f107,plain,
n3 = sum(n7,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f108,plain,
n2 = sum(n7,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f109,plain,
n1 = sum(n7,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f110,plain,
n0 = sum(n7,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f111,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f112,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f113,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f114,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f115,plain,
n5 = sum(n6,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f116,plain,
n4 = sum(n6,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f117,plain,
n3 = sum(n6,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f118,plain,
n2 = sum(n6,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f119,plain,
n1 = sum(n6,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f120,plain,
n0 = sum(n6,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f121,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f122,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f123,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f124,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f125,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f126,plain,
n4 = sum(n5,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f127,plain,
n3 = sum(n5,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f128,plain,
n2 = sum(n5,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f129,plain,
n1 = sum(n5,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f130,plain,
n0 = sum(n5,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f131,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f132,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f133,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f134,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f135,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f136,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f137,plain,
n3 = sum(n4,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f138,plain,
n2 = sum(n4,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f139,plain,
n1 = sum(n4,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f140,plain,
n0 = sum(n4,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f141,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f142,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f143,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f144,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f145,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f146,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f147,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f148,plain,
n2 = sum(n3,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f149,plain,
n1 = sum(n3,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f150,plain,
n0 = sum(n3,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f151,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f152,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f153,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f154,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f155,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f156,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f157,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f158,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f159,plain,
n1 = sum(n2,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f160,plain,
n0 = sum(n2,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f161,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f162,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f163,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f164,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f165,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f166,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f167,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f168,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f169,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f170,plain,
n0 = sum(n1,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f171,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f172,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f173,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f174,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f175,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f176,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f177,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f178,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f179,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f180,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f181,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f1]) ).
fof(f182,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f1]) ).
fof(f183,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f1]) ).
fof(f184,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f1]) ).
fof(f185,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f1]) ).
fof(f186,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f1]) ).
fof(f187,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f1]) ).
fof(f188,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f1]) ).
fof(f189,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f1]) ).
fof(f190,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f1]) ).
fof(f191,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f1]) ).
fof(f192,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f1]) ).
fof(f193,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f1]) ).
fof(f194,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f1]) ).
fof(f195,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f1]) ).
fof(f196,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f1]) ).
fof(f197,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f1]) ).
fof(f198,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f1]) ).
fof(f199,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f1]) ).
fof(f200,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f1]) ).
fof(f201,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f1]) ).
fof(f202,plain,
n10 = pred(n0),
inference(cnf_transformation,[],[f1]) ).
fof(f203,plain,
n0 = succ(n10),
inference(cnf_transformation,[],[f1]) ).
fof(f204,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f1]) ).
fof(f205,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f1]) ).
fof(f206,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f1]) ).
fof(f207,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f1]) ).
fof(f208,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f1]) ).
fof(f209,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f1]) ).
fof(f210,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f1]) ).
fof(f211,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f1]) ).
fof(f212,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f1]) ).
fof(f213,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f1]) ).
fof(f215,definition,
( spl3_1
<=> n0 = sK0 ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f217,plain,
( n0 = sK0
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f219,definition,
( spl3_2
<=> n1 = sK0 ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f221,plain,
( n1 = sK0
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f223,definition,
( spl3_3
<=> n2 = sK0 ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f225,plain,
( n2 = sK0
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f227,definition,
( spl3_4
<=> n3 = sK0 ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f229,plain,
( n3 = sK0
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f231,definition,
( spl3_5
<=> n4 = sK0 ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f233,plain,
( n4 = sK0
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl3_6
<=> n5 = sK0 ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f237,plain,
( n5 = sK0
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f239,definition,
( spl3_7
<=> n6 = sK0 ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f241,plain,
( n6 = sK0
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl3_8
<=> n7 = sK0 ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f245,plain,
( n7 = sK0
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl3_9
<=> n8 = sK0 ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f249,plain,
( n8 = sK0
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl3_10
<=> n9 = sK0 ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f253,plain,
( n9 = sK0
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl3_11
<=> n10 = sK0 ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f257,plain,
( n10 = sK0
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4
| spl3_5
| spl3_6
| spl3_7
| spl3_8
| spl3_9
| spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f2,f255,f251,f247,f243,f239,f235,f231,f227,f223,f219,f215]) ).
fof(f260,definition,
( spl3_12
<=> n0 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f262,plain,
( n0 = sK1
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl3_13
<=> n1 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_13])],[avatar_definition]) ).
fof(f266,plain,
( n1 = sK1
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl3_14
<=> n2 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f270,plain,
( n2 = sK1
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl3_15
<=> n3 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_15])],[avatar_definition]) ).
fof(f274,plain,
( n3 = sK1
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl3_16
<=> n4 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).
fof(f278,plain,
( n4 = sK1
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f280,definition,
( spl3_17
<=> n5 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f282,plain,
( n5 = sK1
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,definition,
( spl3_18
<=> n6 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_18])],[avatar_definition]) ).
fof(f286,plain,
( n6 = sK1
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f288,definition,
( spl3_19
<=> n7 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_19])],[avatar_definition]) ).
fof(f290,plain,
( n7 = sK1
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f292,definition,
( spl3_20
<=> n8 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_20])],[avatar_definition]) ).
fof(f294,plain,
( n8 = sK1
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f296,definition,
( spl3_21
<=> n9 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_21])],[avatar_definition]) ).
fof(f298,plain,
( n9 = sK1
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f300,definition,
( spl3_22
<=> n10 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_22])],[avatar_definition]) ).
fof(f302,plain,
( n10 = sK1
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f303,plain,
( spl3_12
| spl3_13
| spl3_14
| spl3_15
| spl3_16
| spl3_17
| spl3_18
| spl3_19
| spl3_20
| spl3_21
| spl3_22 ),
inference(avatar_split_clause,[],[f3,f300,f296,f292,f288,f284,f280,f276,f272,f268,f264,f260]) ).
fof(f304,plain,
( sK2 = sum(pred(sum(n1,succ(sK1))),sum(sK1,pred(sum(n1,sK1))))
| ~ spl3_2 ),
inference(superposition,[],[f70,f221]) ).
fof(f307,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(sum(n1,n0))))
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f304,f262]) ).
fof(f309,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(n1)))
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f307,f180]) ).
fof(f311,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,n0))
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f309,f201]) ).
fof(f313,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),n0)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f311,f191]) ).
fof(f315,plain,
( sK2 = sum(pred(sum(n1,n1)),n0)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f313,f213]) ).
fof(f317,plain,
( sK2 = sum(pred(n2),n0)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f315,f179]) ).
fof(f319,plain,
( sum(n1,n0) = sK2
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f317,f200]) ).
fof(f321,plain,
( n1 = sK2
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f319,f180]) ).
fof(f324,plain,
( $false
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_subsumption_resolution,[],[f321,f68]) ).
fof(f325,plain,
( ~ spl3_2
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f326,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(sum(n1,n1))))
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f304,f266]) ).
fof(f327,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(n2)))
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f326,f179]) ).
fof(f328,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,n1))
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f327,f200]) ).
fof(f329,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),n2)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f328,f179]) ).
fof(f330,plain,
( sK2 = sum(pred(sum(n1,n2)),n2)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f329,f212]) ).
fof(f331,plain,
( sK2 = sum(pred(n3),n2)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f330,f178]) ).
fof(f332,plain,
( sum(n2,n2) = sK2
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f331,f199]) ).
fof(f333,plain,
( n4 = sK2
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f332,f167]) ).
fof(f334,plain,
( $false
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_subsumption_resolution,[],[f333,f65]) ).
fof(f335,plain,
( ~ spl3_2
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f334]) ).
fof(f336,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(sum(n1,n2))))
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f304,f270]) ).
fof(f337,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(n3)))
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f336,f178]) ).
fof(f338,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,n2))
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f337,f199]) ).
fof(f339,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),n4)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f338,f167]) ).
fof(f340,plain,
( sK2 = sum(pred(sum(n1,n3)),n4)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f339,f211]) ).
fof(f341,plain,
( sK2 = sum(pred(n4),n4)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f340,f177]) ).
fof(f342,plain,
( sum(n3,n4) = sK2
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f341,f198]) ).
fof(f343,plain,
( n7 = sK2
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f342,f154]) ).
fof(f344,plain,
( $false
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f343,f62]) ).
fof(f345,plain,
( ~ spl3_2
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f346,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(sum(n1,n3))))
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f304,f274]) ).
fof(f347,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(n4)))
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f346,f177]) ).
fof(f348,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,n3))
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f347,f198]) ).
fof(f349,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),n6)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f348,f155]) ).
fof(f350,plain,
( sK2 = sum(pred(sum(n1,n4)),n6)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f349,f210]) ).
fof(f351,plain,
( sK2 = sum(pred(n5),n6)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f350,f176]) ).
fof(f352,plain,
( sum(n4,n6) = sK2
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f351,f197]) ).
fof(f353,plain,
( n10 = sK2
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f352,f141]) ).
fof(f354,plain,
( $false
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f353,f59]) ).
fof(f355,plain,
( ~ spl3_2
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f356,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(sum(n1,n4))))
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f304,f278]) ).
fof(f357,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(n5)))
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f356,f176]) ).
fof(f358,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,n4))
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f357,f197]) ).
fof(f359,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),n8)
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f358,f143]) ).
fof(f360,plain,
( sK2 = sum(pred(sum(n1,n5)),n8)
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f359,f209]) ).
fof(f361,plain,
( sK2 = sum(pred(n6),n8)
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f360,f175]) ).
fof(f362,plain,
( sum(n5,n8) = sK2
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f361,f196]) ).
fof(f363,plain,
( n2 = sK2
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f362,f128]) ).
fof(f364,plain,
( $false
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f363,f67]) ).
fof(f365,plain,
( ~ spl3_2
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f366,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(sum(n1,n5))))
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f304,f282]) ).
fof(f367,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(n6)))
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f366,f175]) ).
fof(f368,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,n5))
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f367,f196]) ).
fof(f369,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),n10)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f368,f131]) ).
fof(f370,plain,
( sK2 = sum(pred(sum(n1,n6)),n10)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f369,f208]) ).
fof(f371,plain,
( sK2 = sum(pred(n7),n10)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f370,f174]) ).
fof(f372,plain,
( sum(n6,n10) = sK2
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f371,f195]) ).
fof(f373,plain,
( n5 = sK2
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f372,f115]) ).
fof(f374,plain,
( $false
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f373,f64]) ).
fof(f375,plain,
( ~ spl3_2
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f376,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(sum(n1,n6))))
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f304,f286]) ).
fof(f377,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(n7)))
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f376,f174]) ).
fof(f378,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,n6))
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f377,f195]) ).
fof(f379,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),n1)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f378,f119]) ).
fof(f380,plain,
( sK2 = sum(pred(sum(n1,n7)),n1)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f379,f207]) ).
fof(f381,plain,
( sK2 = sum(pred(n8),n1)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f380,f173]) ).
fof(f382,plain,
( sum(n7,n1) = sK2
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f381,f194]) ).
fof(f383,plain,
( n8 = sK2
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f382,f113]) ).
fof(f384,plain,
( $false
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f383,f61]) ).
fof(f385,plain,
( ~ spl3_2
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f386,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(sum(n1,n7))))
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f304,f290]) ).
fof(f387,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(n8)))
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f386,f173]) ).
fof(f388,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,n7))
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f387,f194]) ).
fof(f389,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),n3)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f388,f107]) ).
fof(f390,plain,
( sK2 = sum(pred(sum(n1,n8)),n3)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f389,f206]) ).
fof(f391,plain,
( sK2 = sum(pred(n9),n3)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f390,f172]) ).
fof(f392,plain,
( sum(n8,n3) = sK2
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f391,f193]) ).
fof(f393,plain,
( n0 = sK2
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f392,f100]) ).
fof(f394,plain,
( $false
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f393,f69]) ).
fof(f395,plain,
( ~ spl3_2
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f396,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(sum(n1,n8))))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f304,f294]) ).
fof(f397,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(n9)))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f396,f172]) ).
fof(f398,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,n8))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f397,f193]) ).
fof(f399,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f398,f95]) ).
fof(f400,plain,
( sK2 = sum(pred(sum(n1,n9)),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f399,f205]) ).
fof(f401,plain,
( sK2 = sum(pred(n10),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f400,f171]) ).
fof(f402,plain,
( sum(n9,n5) = sK2
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f401,f192]) ).
fof(f403,plain,
( n3 = sK2
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f402,f87]) ).
fof(f404,plain,
( $false
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f403,f66]) ).
fof(f405,plain,
( ~ spl3_2
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f406,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(sum(n1,n9))))
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f304,f298]) ).
fof(f407,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(n10)))
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f406,f171]) ).
fof(f408,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,n9))
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f407,f192]) ).
fof(f409,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),n7)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f408,f83]) ).
fof(f410,plain,
( sK2 = sum(pred(sum(n1,n10)),n7)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f409,f204]) ).
fof(f411,plain,
( sK2 = sum(pred(n0),n7)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f410,f170]) ).
fof(f412,plain,
( sum(n10,n7) = sK2
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f411,f202]) ).
fof(f413,plain,
( n6 = sK2
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f412,f74]) ).
fof(f414,plain,
( $false
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f413,f63]) ).
fof(f415,plain,
( ~ spl3_2
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f416,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(sum(n1,n10))))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f304,f302]) ).
fof(f417,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(n0)))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f416,f170]) ).
fof(f418,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,n10))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f417,f202]) ).
fof(f419,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),n9)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f418,f71]) ).
fof(f420,plain,
( sK2 = sum(pred(sum(n1,n0)),n9)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f419,f203]) ).
fof(f421,plain,
( sK2 = sum(pred(n1),n9)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f420,f180]) ).
fof(f422,plain,
( sum(n0,n9) = sK2
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f421,f201]) ).
fof(f423,plain,
( n9 = sK2
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f422,f182]) ).
fof(f424,plain,
( $false
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f423,f60]) ).
fof(f425,plain,
( ~ spl3_2
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f427,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f70,f249]) ).
fof(f428,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,pred(sum(n8,n3))))
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f427,f274]) ).
fof(f429,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,pred(n0)))
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f428,f100]) ).
fof(f430,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,n10))
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f429,f202]) ).
fof(f431,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),n2)
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f430,f148]) ).
fof(f432,plain,
( sK2 = sum(pred(sum(n8,n4)),n2)
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f431,f210]) ).
fof(f433,plain,
( sK2 = sum(pred(n1),n2)
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f432,f99]) ).
fof(f434,plain,
( sum(n0,n2) = sK2
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f433,f201]) ).
fof(f435,plain,
( n2 = sK2
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f434,f189]) ).
fof(f436,plain,
( $false
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f435,f67]) ).
fof(f437,plain,
( ~ spl3_9
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f440,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f70,f237]) ).
fof(f441,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,pred(sum(n5,n3))))
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f440,f274]) ).
fof(f442,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,pred(n8)))
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f441,f133]) ).
fof(f443,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,n7))
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f442,f194]) ).
fof(f444,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),n10)
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f443,f151]) ).
fof(f445,plain,
( sK2 = sum(pred(sum(n5,n4)),n10)
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f444,f210]) ).
fof(f446,plain,
( sK2 = sum(pred(n9),n10)
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f445,f132]) ).
fof(f447,plain,
( sum(n8,n10) = sK2
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f446,f193]) ).
fof(f448,plain,
( n7 = sK2
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f447,f93]) ).
fof(f449,plain,
( $false
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f448,f62]) ).
fof(f450,plain,
( ~ spl3_6
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f454,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f70,f217]) ).
fof(f455,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(sum(n0,n3))))
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f454,f274]) ).
fof(f456,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(n3)))
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f455,f188]) ).
fof(f457,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,n2))
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f456,f199]) ).
fof(f458,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),n5)
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f457,f156]) ).
fof(f459,plain,
( sK2 = sum(pred(sum(n0,n4)),n5)
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f458,f210]) ).
fof(f460,plain,
( sK2 = sum(pred(n4),n5)
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f459,f187]) ).
fof(f461,plain,
( sum(n3,n5) = sK2
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f460,f198]) ).
fof(f462,plain,
( n8 = sK2
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f461,f153]) ).
fof(f463,plain,
( $false
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f462,f61]) ).
fof(f464,plain,
( ~ spl3_1
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f469,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f70,f241]) ).
fof(f470,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,pred(sum(n6,n3))))
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f469,f274]) ).
fof(f471,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,pred(n9)))
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f470,f122]) ).
fof(f472,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,n8))
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f471,f193]) ).
fof(f473,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),n0)
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f472,f150]) ).
fof(f474,plain,
( sK2 = sum(pred(sum(n6,n4)),n0)
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f473,f210]) ).
fof(f475,plain,
( sK2 = sum(pred(n10),n0)
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f474,f121]) ).
fof(f476,plain,
( sum(n9,n0) = sK2
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f475,f192]) ).
fof(f477,plain,
( n9 = sK2
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f476,f92]) ).
fof(f478,plain,
( $false
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f477,f60]) ).
fof(f479,plain,
( ~ spl3_7
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f485,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f70,f233]) ).
fof(f486,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,pred(sum(n4,n3))))
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f485,f274]) ).
fof(f487,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,pred(n7)))
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f486,f144]) ).
fof(f488,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,n6))
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f487,f195]) ).
fof(f489,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),n9)
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f488,f152]) ).
fof(f490,plain,
( sK2 = sum(pred(sum(n4,n4)),n9)
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f489,f210]) ).
fof(f491,plain,
( sK2 = sum(pred(n8),n9)
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f490,f143]) ).
fof(f492,plain,
( sum(n7,n9) = sK2
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f491,f194]) ).
fof(f493,plain,
( n5 = sK2
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f492,f105]) ).
fof(f494,plain,
( $false
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f493,f64]) ).
fof(f495,plain,
( ~ spl3_5
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f502,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f70,f229]) ).
fof(f503,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,pred(sum(n3,n3))))
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f502,f274]) ).
fof(f504,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,pred(n6)))
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f503,f155]) ).
fof(f505,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,n5))
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f504,f196]) ).
fof(f506,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),n8)
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f505,f153]) ).
fof(f507,plain,
( sK2 = sum(pred(sum(n3,n4)),n8)
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f506,f210]) ).
fof(f508,plain,
( sK2 = sum(pred(n7),n8)
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f507,f154]) ).
fof(f509,plain,
( sum(n6,n8) = sK2
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f508,f195]) ).
fof(f510,plain,
( n3 = sK2
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f509,f117]) ).
fof(f511,plain,
( $false
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f510,f66]) ).
fof(f512,plain,
( ~ spl3_4
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f520,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f70,f225]) ).
fof(f521,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(sum(n2,n3))))
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f520,f274]) ).
fof(f522,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(n5)))
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f521,f166]) ).
fof(f523,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,n4))
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f522,f197]) ).
fof(f524,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),n7)
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f523,f154]) ).
fof(f525,plain,
( sK2 = sum(pred(sum(n2,n4)),n7)
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f524,f210]) ).
fof(f526,plain,
( sK2 = sum(pred(n6),n7)
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f525,f165]) ).
fof(f527,plain,
( sum(n5,n7) = sK2
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f526,f196]) ).
fof(f528,plain,
( n1 = sK2
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f527,f129]) ).
fof(f529,plain,
( $false
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f528,f68]) ).
fof(f530,plain,
( ~ spl3_3
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f539,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f70,f245]) ).
fof(f540,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,pred(sum(n7,n3))))
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f539,f274]) ).
fof(f541,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,pred(n10)))
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f540,f111]) ).
fof(f542,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,n9))
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f541,f192]) ).
fof(f543,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),n1)
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f542,f149]) ).
fof(f544,plain,
( sK2 = sum(pred(sum(n7,n4)),n1)
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f543,f210]) ).
fof(f545,plain,
( sK2 = sum(pred(n0),n1)
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f544,f110]) ).
fof(f546,plain,
( sum(n10,n1) = sK2
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f545,f202]) ).
fof(f547,plain,
( n0 = sK2
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f546,f80]) ).
fof(f548,plain,
( $false
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f547,f69]) ).
fof(f549,plain,
( ~ spl3_8
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f559,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f70,f253]) ).
fof(f560,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(sum(n9,n3))))
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f559,f274]) ).
fof(f561,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(n1)))
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f560,f89]) ).
fof(f562,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,n0))
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f561,f201]) ).
fof(f563,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),n3)
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f562,f158]) ).
fof(f564,plain,
( sK2 = sum(pred(sum(n9,n4)),n3)
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f563,f210]) ).
fof(f565,plain,
( sK2 = sum(pred(n2),n3)
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f564,f88]) ).
fof(f566,plain,
( sum(n1,n3) = sK2
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f565,f200]) ).
fof(f567,plain,
( n4 = sK2
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f566,f177]) ).
fof(f568,plain,
( $false
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f567,f65]) ).
fof(f569,plain,
( ~ spl3_10
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f575,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f70,f257]) ).
fof(f581,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,pred(sum(n10,n3))))
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f575,f274]) ).
fof(f582,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,pred(n2)))
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f581,f78]) ).
fof(f583,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,n1))
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f582,f200]) ).
fof(f584,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),n4)
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f583,f157]) ).
fof(f585,plain,
( sK2 = sum(pred(sum(n10,n4)),n4)
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f584,f210]) ).
fof(f586,plain,
( sK2 = sum(pred(n3),n4)
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f585,f77]) ).
fof(f587,plain,
( sum(n2,n4) = sK2
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f586,f199]) ).
fof(f588,plain,
( n6 = sK2
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f587,f165]) ).
fof(f589,plain,
( $false
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f588,f63]) ).
fof(f590,plain,
( ~ spl3_11
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f596,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f70,f245]) ).
fof(f601,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,pred(sum(n7,n5))))
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f596,f282]) ).
fof(f602,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,pred(n1)))
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f601,f109]) ).
fof(f603,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,n0))
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f602,f201]) ).
fof(f604,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),n5)
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f603,f136]) ).
fof(f605,plain,
( sK2 = sum(pred(sum(n7,n6)),n5)
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f604,f208]) ).
fof(f606,plain,
( sK2 = sum(pred(n2),n5)
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f605,f108]) ).
fof(f607,plain,
( sum(n1,n5) = sK2
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f606,f200]) ).
fof(f608,plain,
( n6 = sK2
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f607,f175]) ).
fof(f609,plain,
( $false
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f608,f63]) ).
fof(f610,plain,
( ~ spl3_8
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f611,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,pred(sum(n7,n9))))
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f596,f298]) ).
fof(f612,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,pred(n5)))
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f611,f105]) ).
fof(f613,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,n4))
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f612,f197]) ).
fof(f614,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),n2)
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f613,f88]) ).
fof(f615,plain,
( sK2 = sum(pred(sum(n7,n10)),n2)
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f614,f204]) ).
fof(f616,plain,
( sK2 = sum(pred(n6),n2)
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f615,f104]) ).
fof(f617,plain,
( sum(n5,n2) = sK2
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f616,f196]) ).
fof(f618,plain,
( n7 = sK2
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f617,f134]) ).
fof(f619,plain,
( $false
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f618,f62]) ).
fof(f620,plain,
( ~ spl3_8
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f622,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,pred(sum(n7,n1))))
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f596,f266]) ).
fof(f623,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,pred(n8)))
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f622,f113]) ).
fof(f624,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,n7))
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f623,f194]) ).
fof(f625,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),n8)
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f624,f173]) ).
fof(f626,plain,
( sK2 = sum(pred(sum(n7,n2)),n8)
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f625,f212]) ).
fof(f627,plain,
( sK2 = sum(pred(n9),n8)
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f626,f112]) ).
fof(f628,plain,
( sum(n8,n8) = sK2
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f627,f193]) ).
fof(f629,plain,
( n5 = sK2
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f628,f95]) ).
fof(f630,plain,
( $false
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_subsumption_resolution,[],[f629,f64]) ).
fof(f631,plain,
( ~ spl3_8
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f633,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,pred(sum(n7,n7))))
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f596,f290]) ).
fof(f634,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,pred(n3)))
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f633,f107]) ).
fof(f635,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,n2))
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f634,f199]) ).
fof(f636,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),n9)
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f635,f112]) ).
fof(f637,plain,
( sK2 = sum(pred(sum(n7,n8)),n9)
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f636,f206]) ).
fof(f638,plain,
( sK2 = sum(pred(n4),n9)
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f637,f106]) ).
fof(f639,plain,
( sum(n3,n9) = sK2
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f638,f198]) ).
fof(f640,plain,
( n1 = sK2
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f639,f149]) ).
fof(f641,plain,
( $false
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f640,f68]) ).
fof(f642,plain,
( ~ spl3_8
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f645,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,pred(sum(n7,n6))))
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f596,f286]) ).
fof(f646,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,pred(n2)))
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f645,f108]) ).
fof(f647,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,n1))
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f646,f200]) ).
fof(f648,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),n7)
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f647,f124]) ).
fof(f649,plain,
( sK2 = sum(pred(sum(n7,n7)),n7)
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f648,f207]) ).
fof(f650,plain,
( sK2 = sum(pred(n3),n7)
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f649,f107]) ).
fof(f651,plain,
( sum(n2,n7) = sK2
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f650,f199]) ).
fof(f652,plain,
( n9 = sK2
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f651,f162]) ).
fof(f653,plain,
( $false
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f652,f60]) ).
fof(f654,plain,
( ~ spl3_8
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f658,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(sum(n7,n0))))
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f596,f262]) ).
fof(f659,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(n7)))
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f658,f114]) ).
fof(f660,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,n6))
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f659,f195]) ).
fof(f661,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),n6)
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f660,f185]) ).
fof(f662,plain,
( sK2 = sum(pred(sum(n7,n1)),n6)
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f661,f213]) ).
fof(f663,plain,
( sK2 = sum(pred(n8),n6)
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f662,f113]) ).
fof(f664,plain,
( sum(n7,n6) = sK2
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f663,f194]) ).
fof(f665,plain,
( n2 = sK2
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f664,f108]) ).
fof(f666,plain,
( $false
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_subsumption_resolution,[],[f665,f67]) ).
fof(f667,plain,
( ~ spl3_8
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f671,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(sum(n7,n10))))
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f596,f302]) ).
fof(f672,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(n6)))
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f671,f104]) ).
fof(f673,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,n5))
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f672,f196]) ).
fof(f674,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),n4)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f673,f76]) ).
fof(f675,plain,
( sK2 = sum(pred(sum(n7,n0)),n4)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f674,f203]) ).
fof(f676,plain,
( sK2 = sum(pred(n7),n4)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f675,f114]) ).
fof(f677,plain,
( sum(n6,n4) = sK2
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f676,f195]) ).
fof(f678,plain,
( n10 = sK2
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f677,f121]) ).
fof(f679,plain,
( $false
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f678,f59]) ).
fof(f680,plain,
( ~ spl3_8
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f685,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(sum(n7,n4))))
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f596,f278]) ).
fof(f686,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(n0)))
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f685,f110]) ).
fof(f687,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,n10))
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f686,f202]) ).
fof(f688,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),n3)
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f687,f137]) ).
fof(f689,plain,
( sK2 = sum(pred(sum(n7,n5)),n3)
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f688,f209]) ).
fof(f690,plain,
( sK2 = sum(pred(n1),n3)
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f689,f109]) ).
fof(f691,plain,
( sum(n0,n3) = sK2
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f690,f201]) ).
fof(f692,plain,
( n3 = sK2
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f691,f188]) ).
fof(f693,plain,
( $false
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f692,f66]) ).
fof(f694,plain,
( ~ spl3_8
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f699,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,pred(sum(n7,n8))))
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f596,f294]) ).
fof(f700,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,pred(n4)))
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f699,f106]) ).
fof(f701,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,n3))
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f700,f198]) ).
fof(f702,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),n0)
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f701,f100]) ).
fof(f703,plain,
( sK2 = sum(pred(sum(n7,n9)),n0)
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f702,f205]) ).
fof(f704,plain,
( sK2 = sum(pred(n5),n0)
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f703,f105]) ).
fof(f705,plain,
( sum(n4,n0) = sK2
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f704,f197]) ).
fof(f706,plain,
( n4 = sK2
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f705,f147]) ).
fof(f707,plain,
( $false
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f706,f65]) ).
fof(f708,plain,
( ~ spl3_8
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f707]) ).
fof(f714,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(sum(n7,n2))))
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f596,f270]) ).
fof(f715,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(n9)))
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f714,f112]) ).
fof(f716,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,n8))
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f715,f193]) ).
fof(f717,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),n10)
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f716,f161]) ).
fof(f718,plain,
( sK2 = sum(pred(sum(n7,n3)),n10)
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f717,f211]) ).
fof(f719,plain,
( sK2 = sum(pred(n10),n10)
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f718,f111]) ).
fof(f720,plain,
( sum(n9,n10) = sK2
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f719,f192]) ).
fof(f721,plain,
( n8 = sK2
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f720,f82]) ).
fof(f722,plain,
( $false
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f721,f61]) ).
fof(f723,plain,
( ~ spl3_8
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f733,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f70,f249]) ).
fof(f739,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(sum(n8,n5))))
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f733,f282]) ).
fof(f740,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(n2)))
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f739,f98]) ).
fof(f741,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,n1))
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f740,f200]) ).
fof(f742,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),n6)
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f741,f135]) ).
fof(f743,plain,
( sK2 = sum(pred(sum(n8,n6)),n6)
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f742,f208]) ).
fof(f744,plain,
( sK2 = sum(pred(n3),n6)
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f743,f97]) ).
fof(f745,plain,
( sum(n2,n6) = sK2
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f744,f199]) ).
fof(f746,plain,
( n8 = sK2
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f745,f163]) ).
fof(f747,plain,
( $false
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f746,f61]) ).
fof(f748,plain,
( ~ spl3_9
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f754,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f70,f225]) ).
fof(f759,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(sum(n2,n5))))
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f754,f282]) ).
fof(f760,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(n7)))
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f759,f164]) ).
fof(f761,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,n6))
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f760,f195]) ).
fof(f762,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),n0)
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f761,f130]) ).
fof(f763,plain,
( sK2 = sum(pred(sum(n2,n6)),n0)
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f762,f208]) ).
fof(f764,plain,
( sK2 = sum(pred(n8),n0)
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f763,f163]) ).
fof(f765,plain,
( sum(n7,n0) = sK2
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f764,f194]) ).
fof(f766,plain,
( n7 = sK2
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f765,f114]) ).
fof(f767,plain,
( $false
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f766,f62]) ).
fof(f768,plain,
( ~ spl3_3
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f767]) ).
fof(f774,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f70,f253]) ).
fof(f779,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(sum(n9,n5))))
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f774,f282]) ).
fof(f780,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(n3)))
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f779,f87]) ).
fof(f781,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,n2))
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f780,f199]) ).
fof(f782,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),n7)
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f781,f134]) ).
fof(f783,plain,
( sK2 = sum(pred(sum(n9,n6)),n7)
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f782,f208]) ).
fof(f784,plain,
( sK2 = sum(pred(n4),n7)
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f783,f86]) ).
fof(f785,plain,
( sum(n3,n7) = sK2
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f784,f198]) ).
fof(f786,plain,
( n10 = sK2
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f785,f151]) ).
fof(f787,plain,
( $false
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f786,f59]) ).
fof(f788,plain,
( ~ spl3_10
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f794,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f70,f241]) ).
fof(f799,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,pred(sum(n6,n5))))
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f794,f282]) ).
fof(f800,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,pred(n0)))
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f799,f120]) ).
fof(f801,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,n10))
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f800,f202]) ).
fof(f802,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),n4)
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f801,f126]) ).
fof(f803,plain,
( sK2 = sum(pred(sum(n6,n6)),n4)
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f802,f208]) ).
fof(f804,plain,
( sK2 = sum(pred(n1),n4)
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f803,f119]) ).
fof(f805,plain,
( sum(n0,n4) = sK2
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f804,f201]) ).
fof(f806,plain,
( n4 = sK2
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f805,f187]) ).
fof(f807,plain,
( $false
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f806,f65]) ).
fof(f808,plain,
( ~ spl3_7
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f815,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f70,f217]) ).
fof(f819,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(sum(n0,n5))))
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f815,f282]) ).
fof(f820,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(n5)))
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f819,f186]) ).
fof(f821,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,n4))
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f820,f197]) ).
fof(f822,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),n9)
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f821,f132]) ).
fof(f823,plain,
( sK2 = sum(pred(sum(n0,n6)),n9)
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f822,f208]) ).
fof(f824,plain,
( sK2 = sum(pred(n6),n9)
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f823,f185]) ).
fof(f825,plain,
( sum(n5,n9) = sK2
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f824,f196]) ).
fof(f826,plain,
( n3 = sK2
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f825,f127]) ).
fof(f827,plain,
( $false
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f826,f66]) ).
fof(f828,plain,
( ~ spl3_1
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f834,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f70,f237]) ).
fof(f839,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,pred(sum(n5,n5))))
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f834,f282]) ).
fof(f840,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,pred(n10)))
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f839,f131]) ).
fof(f841,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,n9))
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f840,f192]) ).
fof(f842,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),n3)
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f841,f127]) ).
fof(f843,plain,
( sK2 = sum(pred(sum(n5,n6)),n3)
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f842,f208]) ).
fof(f844,plain,
( sK2 = sum(pred(n0),n3)
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f843,f130]) ).
fof(f845,plain,
( sum(n10,n3) = sK2
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f844,f202]) ).
fof(f846,plain,
( n2 = sK2
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f845,f78]) ).
fof(f847,plain,
( $false
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f846,f67]) ).
fof(f848,plain,
( ~ spl3_6
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f847]) ).
fof(f854,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f70,f229]) ).
fof(f859,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,pred(sum(n3,n5))))
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f854,f282]) ).
fof(f860,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,pred(n8)))
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f859,f153]) ).
fof(f861,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,n7))
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f860,f194]) ).
fof(f862,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),n1)
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f861,f129]) ).
fof(f863,plain,
( sK2 = sum(pred(sum(n3,n6)),n1)
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f862,f208]) ).
fof(f864,plain,
( sK2 = sum(pred(n9),n1)
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f863,f152]) ).
fof(f865,plain,
( sum(n8,n1) = sK2
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f864,f193]) ).
fof(f866,plain,
( n9 = sK2
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f865,f102]) ).
fof(f867,plain,
( $false
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f866,f60]) ).
fof(f868,plain,
( ~ spl3_4
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f874,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f70,f257]) ).
fof(f880,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(sum(n10,n5))))
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f874,f282]) ).
fof(f881,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(n4)))
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f880,f76]) ).
fof(f882,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,n3))
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f881,f198]) ).
fof(f883,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),n8)
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f882,f133]) ).
fof(f884,plain,
( sK2 = sum(pred(sum(n10,n6)),n8)
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f883,f208]) ).
fof(f885,plain,
( sK2 = sum(pred(n5),n8)
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f884,f75]) ).
fof(f886,plain,
( sum(n4,n8) = sK2
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f885,f197]) ).
fof(f887,plain,
( n1 = sK2
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f886,f139]) ).
fof(f888,plain,
( $false
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f887,f68]) ).
fof(f889,plain,
( ~ spl3_11
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f895,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f70,f233]) ).
fof(f901,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(sum(n4,n5))))
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f895,f282]) ).
fof(f902,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(n9)))
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f901,f142]) ).
fof(f903,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,n8))
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f902,f193]) ).
fof(f904,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),n2)
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f903,f128]) ).
fof(f905,plain,
( sK2 = sum(pred(sum(n4,n6)),n2)
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f904,f208]) ).
fof(f906,plain,
( sK2 = sum(pred(n10),n2)
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f905,f141]) ).
fof(f907,plain,
( sum(n9,n2) = sK2
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f906,f192]) ).
fof(f908,plain,
( n0 = sK2
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f907,f90]) ).
fof(f909,plain,
( $false
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f908,f69]) ).
fof(f910,plain,
( ~ spl3_5
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f909]) ).
fof(f919,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f70,f249]) ).
fof(f925,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,pred(sum(n8,n6))))
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f919,f286]) ).
fof(f926,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,pred(n3)))
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f925,f97]) ).
fof(f927,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,n2))
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f926,f199]) ).
fof(f928,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),n8)
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f927,f123]) ).
fof(f929,plain,
( sK2 = sum(pred(sum(n8,n7)),n8)
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f928,f207]) ).
fof(f930,plain,
( sK2 = sum(pred(n4),n8)
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f929,f96]) ).
fof(f931,plain,
( sum(n3,n8) = sK2
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f930,f198]) ).
fof(f932,plain,
( n0 = sK2
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f931,f150]) ).
fof(f933,plain,
( $false
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f932,f69]) ).
fof(f934,plain,
( ~ spl3_9
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f933]) ).
fof(f938,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,pred(sum(n8,n10))))
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f919,f302]) ).
fof(f939,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,pred(n7)))
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f938,f93]) ).
fof(f940,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,n6))
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f939,f195]) ).
fof(f941,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),n5)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f940,f75]) ).
fof(f942,plain,
( sK2 = sum(pred(sum(n8,n0)),n5)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f941,f203]) ).
fof(f943,plain,
( sK2 = sum(pred(n8),n5)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f942,f103]) ).
fof(f944,plain,
( sum(n7,n5) = sK2
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f943,f194]) ).
fof(f945,plain,
( n1 = sK2
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f944,f109]) ).
fof(f946,plain,
( $false
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f945,f68]) ).
fof(f947,plain,
( ~ spl3_9
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f946]) ).
fof(f951,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(sum(n8,n7))))
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f919,f290]) ).
fof(f952,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(n4)))
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f951,f96]) ).
fof(f953,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,n3))
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f952,f198]) ).
fof(f954,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),n10)
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f953,f111]) ).
fof(f955,plain,
( sK2 = sum(pred(sum(n8,n8)),n10)
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f954,f206]) ).
fof(f956,plain,
( sK2 = sum(pred(n5),n10)
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f955,f95]) ).
fof(f957,plain,
( sum(n4,n10) = sK2
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f956,f197]) ).
fof(f958,plain,
( n3 = sK2
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f957,f137]) ).
fof(f959,plain,
( $false
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f958,f66]) ).
fof(f960,plain,
( ~ spl3_9
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f959]) ).
fof(f965,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(sum(n8,n2))))
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f919,f270]) ).
fof(f966,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(n10)))
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f965,f101]) ).
fof(f967,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,n9))
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f966,f192]) ).
fof(f968,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),n0)
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f967,f160]) ).
fof(f969,plain,
( sK2 = sum(pred(sum(n8,n3)),n0)
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f968,f211]) ).
fof(f970,plain,
( sK2 = sum(pred(n0),n0)
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f969,f100]) ).
fof(f971,plain,
( sum(n10,n0) = sK2
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f970,f202]) ).
fof(f972,plain,
( n10 = sK2
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f971,f81]) ).
fof(f973,plain,
( $false
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f972,f59]) ).
fof(f974,plain,
( ~ spl3_9
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f973]) ).
fof(f980,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,pred(sum(n8,n0))))
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f919,f262]) ).
fof(f981,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,pred(n8)))
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f980,f103]) ).
fof(f982,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,n7))
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f981,f194]) ).
fof(f983,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),n7)
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f982,f184]) ).
fof(f984,plain,
( sK2 = sum(pred(sum(n8,n1)),n7)
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f983,f213]) ).
fof(f985,plain,
( sK2 = sum(pred(n9),n7)
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f984,f102]) ).
fof(f986,plain,
( sum(n8,n7) = sK2
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f985,f193]) ).
fof(f987,plain,
( n4 = sK2
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f986,f96]) ).
fof(f988,plain,
( $false
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_subsumption_resolution,[],[f987,f65]) ).
fof(f989,plain,
( ~ spl3_9
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f988]) ).
fof(f995,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,pred(sum(n8,n1))))
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f919,f266]) ).
fof(f996,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,pred(n9)))
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f995,f102]) ).
fof(f997,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,n8))
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f996,f193]) ).
fof(f998,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),n9)
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f997,f172]) ).
fof(f999,plain,
( sK2 = sum(pred(sum(n8,n2)),n9)
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f998,f212]) ).
fof(f1000,plain,
( sK2 = sum(pred(n10),n9)
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f999,f101]) ).
fof(f1001,plain,
( sum(n9,n9) = sK2
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1000,f192]) ).
fof(f1002,plain,
( n7 = sK2
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1001,f83]) ).
fof(f1003,plain,
( $false
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_subsumption_resolution,[],[f1002,f62]) ).
fof(f1004,plain,
( ~ spl3_9
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1009,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(sum(n8,n8))))
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f919,f294]) ).
fof(f1010,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(n5)))
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1009,f95]) ).
fof(f1011,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,n4))
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1010,f197]) ).
fof(f1012,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),n1)
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1011,f99]) ).
fof(f1013,plain,
( sK2 = sum(pred(sum(n8,n9)),n1)
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1012,f205]) ).
fof(f1014,plain,
( sK2 = sum(pred(n6),n1)
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1013,f94]) ).
fof(f1015,plain,
( sum(n5,n1) = sK2
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1014,f196]) ).
fof(f1016,plain,
( n6 = sK2
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1015,f135]) ).
fof(f1017,plain,
( $false
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f1016,f63]) ).
fof(f1018,plain,
( ~ spl3_9
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1017]) ).
fof(f1024,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,pred(sum(n8,n4))))
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f919,f278]) ).
fof(f1025,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,pred(n1)))
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1024,f99]) ).
fof(f1026,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,n0))
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1025,f201]) ).
fof(f1027,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),n4)
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1026,f147]) ).
fof(f1028,plain,
( sK2 = sum(pred(sum(n8,n5)),n4)
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1027,f209]) ).
fof(f1029,plain,
( sK2 = sum(pred(n2),n4)
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1028,f98]) ).
fof(f1030,plain,
( sum(n1,n4) = sK2
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1029,f200]) ).
fof(f1031,plain,
( n5 = sK2
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1030,f176]) ).
fof(f1032,plain,
( $false
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f1031,f64]) ).
fof(f1033,plain,
( ~ spl3_9
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1032]) ).
fof(f1038,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,pred(sum(n8,n9))))
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f919,f298]) ).
fof(f1039,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,pred(n6)))
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1038,f94]) ).
fof(f1040,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,n5))
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1039,f196]) ).
fof(f1041,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),n3)
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1040,f87]) ).
fof(f1042,plain,
( sK2 = sum(pred(sum(n8,n10)),n3)
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1041,f204]) ).
fof(f1043,plain,
( sK2 = sum(pred(n7),n3)
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1042,f93]) ).
fof(f1044,plain,
( sum(n6,n3) = sK2
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1043,f195]) ).
fof(f1045,plain,
( n9 = sK2
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1044,f122]) ).
fof(f1046,plain,
( $false
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f1045,f60]) ).
fof(f1047,plain,
( ~ spl3_9
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1046]) ).
fof(f1056,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f70,f229]) ).
fof(f1061,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,pred(sum(n3,n7))))
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1056,f290]) ).
fof(f1062,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,pred(n10)))
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1061,f151]) ).
fof(f1063,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,n9))
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1062,f192]) ).
fof(f1064,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),n5)
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1063,f105]) ).
fof(f1065,plain,
( sK2 = sum(pred(sum(n3,n8)),n5)
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1064,f206]) ).
fof(f1066,plain,
( sK2 = sum(pred(n0),n5)
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1065,f150]) ).
fof(f1067,plain,
( sum(n10,n5) = sK2
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1066,f202]) ).
fof(f1068,plain,
( n4 = sK2
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1067,f76]) ).
fof(f1069,plain,
( $false
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f1068,f65]) ).
fof(f1070,plain,
( ~ spl3_4
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1076,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f70,f233]) ).
fof(f1082,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,pred(sum(n4,n7))))
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1076,f290]) ).
fof(f1083,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,pred(n0)))
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1082,f140]) ).
fof(f1084,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,n10))
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1083,f202]) ).
fof(f1085,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),n6)
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1084,f104]) ).
fof(f1086,plain,
( sK2 = sum(pred(sum(n4,n8)),n6)
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1085,f206]) ).
fof(f1087,plain,
( sK2 = sum(pred(n1),n6)
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1086,f139]) ).
fof(f1088,plain,
( sum(n0,n6) = sK2
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1087,f201]) ).
fof(f1089,plain,
( n6 = sK2
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1088,f185]) ).
fof(f1090,plain,
( $false
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f1089,f63]) ).
fof(f1091,plain,
( ~ spl3_5
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
fof(f1098,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f70,f217]) ).
fof(f1103,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,pred(sum(n0,n7))))
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1098,f290]) ).
fof(f1104,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,pred(n7)))
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1103,f184]) ).
fof(f1105,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,n6))
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1104,f195]) ).
fof(f1106,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),n2)
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1105,f108]) ).
fof(f1107,plain,
( sK2 = sum(pred(sum(n0,n8)),n2)
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1106,f206]) ).
fof(f1108,plain,
( sK2 = sum(pred(n8),n2)
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1107,f183]) ).
fof(f1109,plain,
( sum(n7,n2) = sK2
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1108,f194]) ).
fof(f1110,plain,
( n9 = sK2
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1109,f112]) ).
fof(f1111,plain,
( $false
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f1110,f60]) ).
fof(f1112,plain,
( ~ spl3_1
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
fof(f1118,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f70,f241]) ).
fof(f1124,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,pred(sum(n6,n7))))
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1118,f290]) ).
fof(f1125,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,pred(n2)))
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1124,f118]) ).
fof(f1126,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,n1))
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1125,f200]) ).
fof(f1127,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),n8)
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1126,f113]) ).
fof(f1128,plain,
( sK2 = sum(pred(sum(n6,n8)),n8)
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1127,f206]) ).
fof(f1129,plain,
( sK2 = sum(pred(n3),n8)
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1128,f117]) ).
fof(f1130,plain,
( sum(n2,n8) = sK2
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1129,f199]) ).
fof(f1131,plain,
( n10 = sK2
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1130,f161]) ).
fof(f1132,plain,
( $false
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f1131,f59]) ).
fof(f1133,plain,
( ~ spl3_7
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1132]) ).
fof(f1140,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f70,f225]) ).
fof(f1145,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,pred(sum(n2,n7))))
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1140,f290]) ).
fof(f1146,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,pred(n9)))
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1145,f162]) ).
fof(f1147,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,n8))
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1146,f193]) ).
fof(f1148,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),n4)
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1147,f106]) ).
fof(f1149,plain,
( sK2 = sum(pred(sum(n2,n8)),n4)
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1148,f206]) ).
fof(f1150,plain,
( sK2 = sum(pred(n10),n4)
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1149,f161]) ).
fof(f1151,plain,
( sum(n9,n4) = sK2
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1150,f192]) ).
fof(f1152,plain,
( n2 = sK2
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1151,f88]) ).
fof(f1153,plain,
( $false
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f1152,f67]) ).
fof(f1154,plain,
( ~ spl3_3
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1160,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f70,f257]) ).
fof(f1166,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,pred(sum(n10,n7))))
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1160,f290]) ).
fof(f1167,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,pred(n6)))
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1166,f74]) ).
fof(f1168,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,n5))
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1167,f196]) ).
fof(f1169,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),n1)
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1168,f109]) ).
fof(f1170,plain,
( sK2 = sum(pred(sum(n10,n8)),n1)
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1169,f206]) ).
fof(f1171,plain,
( sK2 = sum(pred(n7),n1)
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1170,f73]) ).
fof(f1172,plain,
( sum(n6,n1) = sK2
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1171,f195]) ).
fof(f1173,plain,
( n7 = sK2
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1172,f124]) ).
fof(f1174,plain,
( $false
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f1173,f62]) ).
fof(f1175,plain,
( ~ spl3_11
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1174]) ).
fof(f1181,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f70,f253]) ).
fof(f1187,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,pred(sum(n9,n7))))
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1181,f290]) ).
fof(f1188,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,pred(n5)))
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1187,f85]) ).
fof(f1189,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,n4))
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1188,f197]) ).
fof(f1190,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),n0)
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1189,f110]) ).
fof(f1191,plain,
( sK2 = sum(pred(sum(n9,n8)),n0)
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1190,f206]) ).
fof(f1192,plain,
( sK2 = sum(pred(n6),n0)
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1191,f84]) ).
fof(f1193,plain,
( sum(n5,n0) = sK2
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1192,f196]) ).
fof(f1194,plain,
( n5 = sK2
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1193,f136]) ).
fof(f1195,plain,
( $false
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f1194,f64]) ).
fof(f1196,plain,
( ~ spl3_10
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1195]) ).
fof(f1202,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f70,f237]) ).
fof(f1208,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,pred(sum(n5,n7))))
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1202,f290]) ).
fof(f1209,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,pred(n1)))
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1208,f129]) ).
fof(f1210,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,n0))
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1209,f201]) ).
fof(f1211,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),n7)
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1210,f114]) ).
fof(f1212,plain,
( sK2 = sum(pred(sum(n5,n8)),n7)
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1211,f206]) ).
fof(f1213,plain,
( sK2 = sum(pred(n2),n7)
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1212,f128]) ).
fof(f1214,plain,
( sum(n1,n7) = sK2
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1213,f200]) ).
fof(f1215,plain,
( n8 = sK2
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1214,f173]) ).
fof(f1216,plain,
( $false
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_subsumption_resolution,[],[f1215,f61]) ).
fof(f1217,plain,
( ~ spl3_6
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1226,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f70,f253]) ).
fof(f1232,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(sum(n9,n6))))
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1226,f286]) ).
fof(f1233,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(n4)))
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1232,f86]) ).
fof(f1234,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,n3))
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1233,f198]) ).
fof(f1235,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),n9)
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1234,f122]) ).
fof(f1236,plain,
( sK2 = sum(pred(sum(n9,n7)),n9)
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1235,f207]) ).
fof(f1237,plain,
( sK2 = sum(pred(n5),n9)
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1236,f85]) ).
fof(f1238,plain,
( sum(n4,n9) = sK2
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1237,f197]) ).
fof(f1239,plain,
( n2 = sK2
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1238,f138]) ).
fof(f1240,plain,
( $false
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f1239,f67]) ).
fof(f1241,plain,
( ~ spl3_10
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1240]) ).
fof(f1246,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,pred(sum(n9,n9))))
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1226,f298]) ).
fof(f1247,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,pred(n7)))
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1246,f83]) ).
fof(f1248,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,n6))
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1247,f195]) ).
fof(f1249,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),n4)
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1248,f86]) ).
fof(f1250,plain,
( sK2 = sum(pred(sum(n9,n10)),n4)
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1249,f204]) ).
fof(f1251,plain,
( sK2 = sum(pred(n8),n4)
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1250,f82]) ).
fof(f1252,plain,
( sum(n7,n4) = sK2
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1251,f194]) ).
fof(f1253,plain,
( n0 = sK2
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1252,f110]) ).
fof(f1254,plain,
( $false
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f1253,f69]) ).
fof(f1255,plain,
( ~ spl3_10
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1254]) ).
fof(f1261,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(sum(n9,n0))))
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1226,f262]) ).
fof(f1262,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(n9)))
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1261,f92]) ).
fof(f1263,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,n8))
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1262,f193]) ).
fof(f1264,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),n8)
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1263,f183]) ).
fof(f1265,plain,
( sK2 = sum(pred(sum(n9,n1)),n8)
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1264,f213]) ).
fof(f1266,plain,
( sK2 = sum(pred(n10),n8)
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1265,f91]) ).
fof(f1267,plain,
( sum(n9,n8) = sK2
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1266,f192]) ).
fof(f1268,plain,
( n6 = sK2
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1267,f84]) ).
fof(f1269,plain,
( $false
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_subsumption_resolution,[],[f1268,f63]) ).
fof(f1270,plain,
( ~ spl3_10
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1269]) ).
fof(f1276,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,pred(sum(n9,n1))))
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1226,f266]) ).
fof(f1277,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,pred(n10)))
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1276,f91]) ).
fof(f1278,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,n9))
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1277,f192]) ).
fof(f1279,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),n10)
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1278,f171]) ).
fof(f1280,plain,
( sK2 = sum(pred(sum(n9,n2)),n10)
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1279,f212]) ).
fof(f1281,plain,
( sK2 = sum(pred(n0),n10)
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1280,f90]) ).
fof(f1282,plain,
( sum(n10,n10) = sK2
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1281,f202]) ).
fof(f1283,plain,
( n9 = sK2
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1282,f71]) ).
fof(f1284,plain,
( $false
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_subsumption_resolution,[],[f1283,f60]) ).
fof(f1285,plain,
( ~ spl3_10
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f1284]) ).
fof(f1290,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(sum(n9,n2))))
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1226,f270]) ).
fof(f1291,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(n0)))
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1290,f90]) ).
fof(f1292,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,n10))
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1291,f202]) ).
fof(f1293,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),n1)
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1292,f159]) ).
fof(f1294,plain,
( sK2 = sum(pred(sum(n9,n3)),n1)
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1293,f211]) ).
fof(f1295,plain,
( sK2 = sum(pred(n1),n1)
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1294,f89]) ).
fof(f1296,plain,
( sum(n0,n1) = sK2
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1295,f201]) ).
fof(f1297,plain,
( n1 = sK2
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1296,f190]) ).
fof(f1298,plain,
( $false
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f1297,f68]) ).
fof(f1299,plain,
( ~ spl3_10
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1298]) ).
fof(f1303,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,pred(sum(n9,n10))))
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1226,f302]) ).
fof(f1304,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,pred(n8)))
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1303,f82]) ).
fof(f1305,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,n7))
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1304,f194]) ).
fof(f1306,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),n6)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1305,f74]) ).
fof(f1307,plain,
( sK2 = sum(pred(sum(n9,n0)),n6)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1306,f203]) ).
fof(f1308,plain,
( sK2 = sum(pred(n9),n6)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1307,f92]) ).
fof(f1309,plain,
( sum(n8,n6) = sK2
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1308,f193]) ).
fof(f1310,plain,
( n3 = sK2
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1309,f97]) ).
fof(f1311,plain,
( $false
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f1310,f66]) ).
fof(f1312,plain,
( ~ spl3_10
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1316,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,pred(sum(n9,n8))))
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1226,f294]) ).
fof(f1317,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,pred(n6)))
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1316,f84]) ).
fof(f1318,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,n5))
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1317,f196]) ).
fof(f1319,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),n2)
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1318,f98]) ).
fof(f1320,plain,
( sK2 = sum(pred(sum(n9,n9)),n2)
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1319,f205]) ).
fof(f1321,plain,
( sK2 = sum(pred(n7),n2)
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1320,f83]) ).
fof(f1322,plain,
( sum(n6,n2) = sK2
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1321,f195]) ).
fof(f1323,plain,
( n8 = sK2
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1322,f123]) ).
fof(f1324,plain,
( $false
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f1323,f61]) ).
fof(f1325,plain,
( ~ spl3_10
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1324]) ).
fof(f1330,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(sum(n9,n4))))
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1226,f278]) ).
fof(f1331,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(n2)))
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1330,f88]) ).
fof(f1332,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,n1))
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1331,f200]) ).
fof(f1333,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),n5)
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1332,f146]) ).
fof(f1334,plain,
( sK2 = sum(pred(sum(n9,n5)),n5)
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1333,f209]) ).
fof(f1335,plain,
( sK2 = sum(pred(n3),n5)
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1334,f87]) ).
fof(f1336,plain,
( sum(n2,n5) = sK2
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1335,f199]) ).
fof(f1337,plain,
( n7 = sK2
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1336,f164]) ).
fof(f1338,plain,
( $false
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f1337,f62]) ).
fof(f1339,plain,
( ~ spl3_10
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1347,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f70,f241]) ).
fof(f1353,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,pred(sum(n6,n9))))
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1347,f298]) ).
fof(f1354,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,pred(n4)))
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1353,f116]) ).
fof(f1355,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,n3))
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1354,f198]) ).
fof(f1356,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),n1)
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1355,f89]) ).
fof(f1357,plain,
( sK2 = sum(pred(sum(n6,n10)),n1)
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1356,f204]) ).
fof(f1358,plain,
( sK2 = sum(pred(n5),n1)
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1357,f115]) ).
fof(f1359,plain,
( sum(n4,n1) = sK2
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1358,f197]) ).
fof(f1360,plain,
( n5 = sK2
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1359,f146]) ).
fof(f1361,plain,
( $false
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f1360,f64]) ).
fof(f1362,plain,
( ~ spl3_7
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1361]) ).
fof(f1368,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f70,f237]) ).
fof(f1374,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(sum(n5,n9))))
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1368,f298]) ).
fof(f1375,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(n3)))
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1374,f127]) ).
fof(f1376,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,n2))
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1375,f199]) ).
fof(f1377,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),n0)
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1376,f90]) ).
fof(f1378,plain,
( sK2 = sum(pred(sum(n5,n10)),n0)
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1377,f204]) ).
fof(f1379,plain,
( sK2 = sum(pred(n4),n0)
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1378,f126]) ).
fof(f1380,plain,
( sum(n3,n0) = sK2
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1379,f198]) ).
fof(f1381,plain,
( n3 = sK2
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1380,f158]) ).
fof(f1382,plain,
( $false
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f1381,f66]) ).
fof(f1383,plain,
( ~ spl3_6
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1382]) ).
fof(f1390,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f70,f229]) ).
fof(f1395,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,pred(sum(n3,n9))))
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1390,f298]) ).
fof(f1396,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,pred(n1)))
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1395,f149]) ).
fof(f1397,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,n0))
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1396,f201]) ).
fof(f1398,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),n9)
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1397,f92]) ).
fof(f1399,plain,
( sK2 = sum(pred(sum(n3,n10)),n9)
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1398,f204]) ).
fof(f1400,plain,
( sK2 = sum(pred(n2),n9)
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1399,f148]) ).
fof(f1401,plain,
( sum(n1,n9) = sK2
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1400,f200]) ).
fof(f1402,plain,
( n10 = sK2
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1401,f171]) ).
fof(f1403,plain,
( $false
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f1402,f59]) ).
fof(f1404,plain,
( ~ spl3_4
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1412,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f70,f225]) ).
fof(f1416,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(sum(n2,n9))))
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1412,f298]) ).
fof(f1417,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(n0)))
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1416,f160]) ).
fof(f1418,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,n10))
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1417,f202]) ).
fof(f1419,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),n8)
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1418,f82]) ).
fof(f1420,plain,
( sK2 = sum(pred(sum(n2,n10)),n8)
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1419,f204]) ).
fof(f1421,plain,
( sK2 = sum(pred(n1),n8)
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1420,f159]) ).
fof(f1422,plain,
( sum(n0,n8) = sK2
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1421,f201]) ).
fof(f1423,plain,
( n8 = sK2
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1422,f183]) ).
fof(f1424,plain,
( $false
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f1423,f61]) ).
fof(f1425,plain,
( ~ spl3_3
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1424]) ).
fof(f1432,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f70,f233]) ).
fof(f1437,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,pred(sum(n4,n9))))
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1432,f298]) ).
fof(f1438,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,pred(n2)))
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1437,f138]) ).
fof(f1439,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,n1))
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1438,f200]) ).
fof(f1440,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),n10)
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1439,f91]) ).
fof(f1441,plain,
( sK2 = sum(pred(sum(n4,n10)),n10)
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1440,f204]) ).
fof(f1442,plain,
( sK2 = sum(pred(n3),n10)
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1441,f137]) ).
fof(f1443,plain,
( sum(n2,n10) = sK2
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1442,f199]) ).
fof(f1444,plain,
( n1 = sK2
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1443,f159]) ).
fof(f1445,plain,
( $false
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f1444,f68]) ).
fof(f1446,plain,
( ~ spl3_5
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1445]) ).
fof(f1452,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f70,f257]) ).
fof(f1458,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,pred(sum(n10,n9))))
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1452,f298]) ).
fof(f1459,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,pred(n8)))
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1458,f72]) ).
fof(f1460,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,n7))
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1459,f194]) ).
fof(f1461,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),n5)
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1460,f85]) ).
fof(f1462,plain,
( sK2 = sum(pred(sum(n10,n10)),n5)
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1461,f204]) ).
fof(f1463,plain,
( sK2 = sum(pred(n9),n5)
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1462,f71]) ).
fof(f1464,plain,
( sum(n8,n5) = sK2
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1463,f193]) ).
fof(f1465,plain,
( n2 = sK2
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1464,f98]) ).
fof(f1466,plain,
( $false
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f1465,f67]) ).
fof(f1467,plain,
( ~ spl3_11
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1466]) ).
fof(f1474,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f70,f217]) ).
fof(f1479,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(sum(n0,n9))))
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1474,f298]) ).
fof(f1480,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(n9)))
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1479,f182]) ).
fof(f1481,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,n8))
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1480,f193]) ).
fof(f1482,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),n6)
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1481,f84]) ).
fof(f1483,plain,
( sK2 = sum(pred(sum(n0,n10)),n6)
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1482,f204]) ).
fof(f1484,plain,
( sK2 = sum(pred(n10),n6)
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1483,f181]) ).
fof(f1485,plain,
( sum(n9,n6) = sK2
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1484,f192]) ).
fof(f1486,plain,
( n4 = sK2
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1485,f86]) ).
fof(f1487,plain,
( $false
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f1486,f65]) ).
fof(f1488,plain,
( ~ spl3_1
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1498,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f70,f257]) ).
fof(f1503,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,pred(sum(n10,n6))))
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1498,f286]) ).
fof(f1504,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,pred(n5)))
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1503,f75]) ).
fof(f1505,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,n4))
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1504,f197]) ).
fof(f1506,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),n10)
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1505,f121]) ).
fof(f1507,plain,
( sK2 = sum(pred(sum(n10,n7)),n10)
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1506,f207]) ).
fof(f1508,plain,
( sK2 = sum(pred(n6),n10)
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1507,f74]) ).
fof(f1509,plain,
( sum(n5,n10) = sK2
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1508,f196]) ).
fof(f1510,plain,
( n4 = sK2
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1509,f126]) ).
fof(f1511,plain,
( $false
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f1510,f65]) ).
fof(f1512,plain,
( ~ spl3_11
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1511]) ).
fof(f1518,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(sum(n10,n2))))
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1498,f270]) ).
fof(f1519,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(n1)))
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1518,f79]) ).
fof(f1520,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,n0))
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1519,f201]) ).
fof(f1521,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),n2)
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1520,f169]) ).
fof(f1522,plain,
( sK2 = sum(pred(sum(n10,n3)),n2)
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1521,f211]) ).
fof(f1523,plain,
( sK2 = sum(pred(n2),n2)
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1522,f78]) ).
fof(f1524,plain,
( sum(n1,n2) = sK2
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1523,f200]) ).
fof(f1525,plain,
( n3 = sK2
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1524,f178]) ).
fof(f1526,plain,
( $false
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f1525,f66]) ).
fof(f1527,plain,
( ~ spl3_11
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1526]) ).
fof(f1534,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,pred(sum(n10,n1))))
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1498,f266]) ).
fof(f1535,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,pred(n0)))
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1534,f80]) ).
fof(f1536,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,n10))
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1535,f202]) ).
fof(f1537,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),n0)
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1536,f170]) ).
fof(f1538,plain,
( sK2 = sum(pred(sum(n10,n2)),n0)
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1537,f212]) ).
fof(f1539,plain,
( sK2 = sum(pred(n1),n0)
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1538,f79]) ).
fof(f1540,plain,
( sum(n0,n0) = sK2
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1539,f201]) ).
fof(f1541,plain,
( n0 = sK2
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1540,f191]) ).
fof(f1542,plain,
( $false
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_subsumption_resolution,[],[f1541,f69]) ).
fof(f1543,plain,
( ~ spl3_11
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f1542]) ).
fof(f1549,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,pred(sum(n10,n10))))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1498,f302]) ).
fof(f1550,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,pred(n9)))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1549,f71]) ).
fof(f1551,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,n8))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1550,f193]) ).
fof(f1552,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),n7)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1551,f73]) ).
fof(f1553,plain,
( sK2 = sum(pred(sum(n10,n0)),n7)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1552,f203]) ).
fof(f1554,plain,
( sK2 = sum(pred(n10),n7)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1553,f81]) ).
fof(f1555,plain,
( sum(n9,n7) = sK2
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1554,f192]) ).
fof(f1556,plain,
( n5 = sK2
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1555,f85]) ).
fof(f1557,plain,
( $false
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f1556,f64]) ).
fof(f1558,plain,
( ~ spl3_11
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1565,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,pred(sum(n10,n0))))
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1498,f262]) ).
fof(f1566,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,pred(n10)))
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1565,f81]) ).
fof(f1567,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,n9))
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1566,f192]) ).
fof(f1568,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),n9)
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1567,f182]) ).
fof(f1569,plain,
( sK2 = sum(pred(sum(n10,n1)),n9)
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1568,f213]) ).
fof(f1570,plain,
( sK2 = sum(pred(n0),n9)
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1569,f80]) ).
fof(f1571,plain,
( sum(n10,n9) = sK2
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1570,f202]) ).
fof(f1572,plain,
( n8 = sK2
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1571,f72]) ).
fof(f1573,plain,
( $false
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_subsumption_resolution,[],[f1572,f61]) ).
fof(f1574,plain,
( ~ spl3_11
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1581,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,pred(sum(n10,n4))))
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1498,f278]) ).
fof(f1582,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,pred(n3)))
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1581,f77]) ).
fof(f1583,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,n2))
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1582,f199]) ).
fof(f1584,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),n6)
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1583,f145]) ).
fof(f1585,plain,
( sK2 = sum(pred(sum(n10,n5)),n6)
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1584,f209]) ).
fof(f1586,plain,
( sK2 = sum(pred(n4),n6)
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1585,f76]) ).
fof(f1587,plain,
( sum(n3,n6) = sK2
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1586,f198]) ).
fof(f1588,plain,
( n9 = sK2
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1587,f152]) ).
fof(f1589,plain,
( $false
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f1588,f60]) ).
fof(f1590,plain,
( ~ spl3_11
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1589]) ).
fof(f1596,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,pred(sum(n10,n8))))
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1498,f294]) ).
fof(f1597,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,pred(n7)))
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1596,f73]) ).
fof(f1598,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,n6))
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1597,f195]) ).
fof(f1599,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),n3)
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1598,f97]) ).
fof(f1600,plain,
( sK2 = sum(pred(sum(n10,n9)),n3)
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1599,f205]) ).
fof(f1601,plain,
( sK2 = sum(pred(n8),n3)
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1600,f72]) ).
fof(f1602,plain,
( sum(n7,n3) = sK2
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1601,f194]) ).
fof(f1603,plain,
( n10 = sK2
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1602,f111]) ).
fof(f1604,plain,
( $false
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f1603,f59]) ).
fof(f1605,plain,
( ~ spl3_11
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1604]) ).
fof(f1616,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f70,f229]) ).
fof(f1621,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,pred(sum(n3,n0))))
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1616,f262]) ).
fof(f1622,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,pred(n3)))
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1621,f158]) ).
fof(f1623,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,n2))
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1622,f199]) ).
fof(f1624,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),n2)
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1623,f189]) ).
fof(f1625,plain,
( sK2 = sum(pred(sum(n3,n1)),n2)
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1624,f213]) ).
fof(f1626,plain,
( sK2 = sum(pred(n4),n2)
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1625,f157]) ).
fof(f1627,plain,
( sum(n3,n2) = sK2
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1626,f198]) ).
fof(f1628,plain,
( n5 = sK2
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1627,f156]) ).
fof(f1629,plain,
( $false
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_subsumption_resolution,[],[f1628,f64]) ).
fof(f1630,plain,
( ~ spl3_4
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1629]) ).
fof(f1635,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f70,f237]) ).
fof(f1641,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(sum(n5,n0))))
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1635,f262]) ).
fof(f1642,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(n5)))
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1641,f136]) ).
fof(f1643,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,n4))
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1642,f197]) ).
fof(f1644,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),n4)
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1643,f187]) ).
fof(f1645,plain,
( sK2 = sum(pred(sum(n5,n1)),n4)
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1644,f213]) ).
fof(f1646,plain,
( sK2 = sum(pred(n6),n4)
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1645,f135]) ).
fof(f1647,plain,
( sum(n5,n4) = sK2
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1646,f196]) ).
fof(f1648,plain,
( n9 = sK2
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1647,f132]) ).
fof(f1649,plain,
( $false
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_subsumption_resolution,[],[f1648,f60]) ).
fof(f1650,plain,
( ~ spl3_6
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1649]) ).
fof(f1656,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f70,f217]) ).
fof(f1662,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(sum(n0,n0))))
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1656,f262]) ).
fof(f1663,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(n0)))
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1662,f191]) ).
fof(f1664,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,n10))
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1663,f202]) ).
fof(f1665,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),n10)
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1664,f181]) ).
fof(f1666,plain,
( sK2 = sum(pred(sum(n0,n1)),n10)
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1665,f213]) ).
fof(f1667,plain,
( sK2 = sum(pred(n1),n10)
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1666,f190]) ).
fof(f1668,plain,
( sum(n0,n10) = sK2
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1667,f201]) ).
fof(f1669,plain,
( n10 = sK2
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1668,f181]) ).
fof(f1670,plain,
( $false
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_subsumption_resolution,[],[f1669,f59]) ).
fof(f1671,plain,
( ~ spl3_1
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1670]) ).
fof(f1676,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f70,f241]) ).
fof(f1683,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,pred(sum(n6,n0))))
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1676,f262]) ).
fof(f1684,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,pred(n6)))
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1683,f125]) ).
fof(f1685,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,n5))
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1684,f196]) ).
fof(f1686,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),n5)
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1685,f186]) ).
fof(f1687,plain,
( sK2 = sum(pred(sum(n6,n1)),n5)
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1686,f213]) ).
fof(f1688,plain,
( sK2 = sum(pred(n7),n5)
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1687,f124]) ).
fof(f1689,plain,
( sum(n6,n5) = sK2
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1688,f195]) ).
fof(f1690,plain,
( n0 = sK2
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1689,f120]) ).
fof(f1691,plain,
( $false
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_subsumption_resolution,[],[f1690,f69]) ).
fof(f1692,plain,
( ~ spl3_7
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1691]) ).
fof(f1698,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f70,f233]) ).
fof(f1704,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(sum(n4,n0))))
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1698,f262]) ).
fof(f1705,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(n4)))
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1704,f147]) ).
fof(f1706,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,n3))
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1705,f198]) ).
fof(f1707,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),n3)
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1706,f188]) ).
fof(f1708,plain,
( sK2 = sum(pred(sum(n4,n1)),n3)
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1707,f213]) ).
fof(f1709,plain,
( sK2 = sum(pred(n5),n3)
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1708,f146]) ).
fof(f1710,plain,
( sum(n4,n3) = sK2
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1709,f197]) ).
fof(f1711,plain,
( n7 = sK2
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1710,f144]) ).
fof(f1712,plain,
( $false
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_subsumption_resolution,[],[f1711,f62]) ).
fof(f1713,plain,
( ~ spl3_5
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1712]) ).
fof(f1720,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f70,f225]) ).
fof(f1725,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,pred(sum(n2,n0))))
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1720,f262]) ).
fof(f1726,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,pred(n2)))
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1725,f169]) ).
fof(f1727,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,n1))
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1726,f200]) ).
fof(f1728,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),n1)
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1727,f190]) ).
fof(f1729,plain,
( sK2 = sum(pred(sum(n2,n1)),n1)
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1728,f213]) ).
fof(f1730,plain,
( sK2 = sum(pred(n3),n1)
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1729,f168]) ).
fof(f1731,plain,
( sum(n2,n1) = sK2
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1730,f199]) ).
fof(f1732,plain,
( n3 = sK2
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1731,f168]) ).
fof(f1733,plain,
( $false
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_subsumption_resolution,[],[f1732,f66]) ).
fof(f1734,plain,
( ~ spl3_3
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1733]) ).
fof(f1744,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f70,f241]) ).
fof(f1749,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,pred(sum(n6,n6))))
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1744,f286]) ).
fof(f1750,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,pred(n1)))
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1749,f119]) ).
fof(f1751,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,n0))
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1750,f201]) ).
fof(f1752,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),n6)
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1751,f125]) ).
fof(f1753,plain,
( sK2 = sum(pred(sum(n6,n7)),n6)
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1752,f207]) ).
fof(f1754,plain,
( sK2 = sum(pred(n2),n6)
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1753,f118]) ).
fof(f1755,plain,
( sum(n1,n6) = sK2
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1754,f200]) ).
fof(f1756,plain,
( n7 = sK2
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1755,f174]) ).
fof(f1757,plain,
( $false
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f1756,f62]) ).
fof(f1758,plain,
( ~ spl3_7
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1763,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(sum(n6,n2))))
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1744,f270]) ).
fof(f1764,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(n8)))
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1763,f123]) ).
fof(f1765,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,n7))
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1764,f194]) ).
fof(f1766,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),n9)
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1765,f162]) ).
fof(f1767,plain,
( sK2 = sum(pred(sum(n6,n3)),n9)
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1766,f211]) ).
fof(f1768,plain,
( sK2 = sum(pred(n9),n9)
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1767,f122]) ).
fof(f1769,plain,
( sum(n8,n9) = sK2
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1768,f193]) ).
fof(f1770,plain,
( n6 = sK2
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1769,f94]) ).
fof(f1771,plain,
( $false
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f1770,f63]) ).
fof(f1772,plain,
( ~ spl3_7
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1771]) ).
fof(f1776,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,pred(sum(n6,n10))))
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1744,f302]) ).
fof(f1777,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,pred(n5)))
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1776,f115]) ).
fof(f1778,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,n4))
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1777,f197]) ).
fof(f1779,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),n3)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1778,f77]) ).
fof(f1780,plain,
( sK2 = sum(pred(sum(n6,n0)),n3)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1779,f203]) ).
fof(f1781,plain,
( sK2 = sum(pred(n6),n3)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1780,f125]) ).
fof(f1782,plain,
( sum(n5,n3) = sK2
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1781,f196]) ).
fof(f1783,plain,
( n8 = sK2
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1782,f133]) ).
fof(f1784,plain,
( $false
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f1783,f61]) ).
fof(f1785,plain,
( ~ spl3_7
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1784]) ).
fof(f1790,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(sum(n6,n4))))
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1744,f278]) ).
fof(f1791,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(n10)))
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1790,f121]) ).
fof(f1792,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,n9))
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1791,f192]) ).
fof(f1793,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),n2)
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1792,f138]) ).
fof(f1794,plain,
( sK2 = sum(pred(sum(n6,n5)),n2)
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1793,f209]) ).
fof(f1795,plain,
( sK2 = sum(pred(n0),n2)
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1794,f120]) ).
fof(f1796,plain,
( sum(n10,n2) = sK2
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1795,f202]) ).
fof(f1797,plain,
( n1 = sK2
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1796,f79]) ).
fof(f1798,plain,
( $false
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f1797,f68]) ).
fof(f1799,plain,
( ~ spl3_7
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1798]) ).
fof(f1804,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,pred(sum(n6,n8))))
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1744,f294]) ).
fof(f1805,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,pred(n3)))
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1804,f117]) ).
fof(f1806,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,n2))
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1805,f199]) ).
fof(f1807,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),n10)
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1806,f101]) ).
fof(f1808,plain,
( sK2 = sum(pred(sum(n6,n9)),n10)
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1807,f205]) ).
fof(f1809,plain,
( sK2 = sum(pred(n4),n10)
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1808,f116]) ).
fof(f1810,plain,
( sum(n3,n10) = sK2
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1809,f198]) ).
fof(f1811,plain,
( n2 = sK2
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1810,f148]) ).
fof(f1812,plain,
( $false
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f1811,f67]) ).
fof(f1813,plain,
( ~ spl3_7
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1812]) ).
fof(f1819,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,pred(sum(n6,n1))))
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1744,f266]) ).
fof(f1820,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,pred(n7)))
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1819,f124]) ).
fof(f1821,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,n6))
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1820,f195]) ).
fof(f1822,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),n7)
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1821,f174]) ).
fof(f1823,plain,
( sK2 = sum(pred(sum(n6,n2)),n7)
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1822,f212]) ).
fof(f1824,plain,
( sK2 = sum(pred(n8),n7)
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1823,f123]) ).
fof(f1825,plain,
( sum(n7,n7) = sK2
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1824,f194]) ).
fof(f1826,plain,
( n3 = sK2
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1825,f107]) ).
fof(f1827,plain,
( $false
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_subsumption_resolution,[],[f1826,f66]) ).
fof(f1828,plain,
( ~ spl3_7
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f1827]) ).
fof(f1840,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f70,f225]) ).
fof(f1845,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(sum(n2,n2))))
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1840,f270]) ).
fof(f1846,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(n4)))
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1845,f167]) ).
fof(f1847,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,n3))
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1846,f198]) ).
fof(f1848,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),n5)
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1847,f166]) ).
fof(f1849,plain,
( sK2 = sum(pred(sum(n2,n3)),n5)
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1848,f211]) ).
fof(f1850,plain,
( sK2 = sum(pred(n5),n5)
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1849,f166]) ).
fof(f1851,plain,
( sum(n4,n5) = sK2
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1850,f197]) ).
fof(f1852,plain,
( n9 = sK2
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1851,f142]) ).
fof(f1853,plain,
( $false
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f1852,f60]) ).
fof(f1854,plain,
( ~ spl3_3
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1853]) ).
fof(f1860,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f70,f237]) ).
fof(f1866,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(sum(n5,n2))))
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1860,f270]) ).
fof(f1867,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(n7)))
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1866,f134]) ).
fof(f1868,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,n6))
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1867,f195]) ).
fof(f1869,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),n8)
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1868,f163]) ).
fof(f1870,plain,
( sK2 = sum(pred(sum(n5,n3)),n8)
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1869,f211]) ).
fof(f1871,plain,
( sK2 = sum(pred(n8),n8)
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1870,f133]) ).
fof(f1872,plain,
( sum(n7,n8) = sK2
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1871,f194]) ).
fof(f1873,plain,
( n4 = sK2
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1872,f106]) ).
fof(f1874,plain,
( $false
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f1873,f65]) ).
fof(f1875,plain,
( ~ spl3_6
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1874]) ).
fof(f1882,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f70,f217]) ).
fof(f1887,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(sum(n0,n2))))
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1882,f270]) ).
fof(f1888,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(n2)))
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1887,f189]) ).
fof(f1889,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,n1))
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1888,f200]) ).
fof(f1890,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),n3)
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1889,f168]) ).
fof(f1891,plain,
( sK2 = sum(pred(sum(n0,n3)),n3)
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1890,f211]) ).
fof(f1892,plain,
( sK2 = sum(pred(n3),n3)
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1891,f188]) ).
fof(f1893,plain,
( sum(n2,n3) = sK2
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1892,f199]) ).
fof(f1894,plain,
( n5 = sK2
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1893,f166]) ).
fof(f1895,plain,
( $false
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f1894,f64]) ).
fof(f1896,plain,
( ~ spl3_1
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1895]) ).
fof(f1902,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f70,f233]) ).
fof(f1908,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,pred(sum(n4,n2))))
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1902,f270]) ).
fof(f1909,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,pred(n6)))
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1908,f145]) ).
fof(f1910,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,n5))
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1909,f196]) ).
fof(f1911,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),n7)
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1910,f164]) ).
fof(f1912,plain,
( sK2 = sum(pred(sum(n4,n3)),n7)
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1911,f211]) ).
fof(f1913,plain,
( sK2 = sum(pred(n7),n7)
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1912,f144]) ).
fof(f1914,plain,
( sum(n6,n7) = sK2
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1913,f195]) ).
fof(f1915,plain,
( n2 = sK2
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1914,f118]) ).
fof(f1916,plain,
( $false
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f1915,f67]) ).
fof(f1917,plain,
( ~ spl3_5
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1916]) ).
fof(f1924,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f70,f229]) ).
fof(f1929,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,pred(sum(n3,n2))))
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1924,f270]) ).
fof(f1930,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,pred(n5)))
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1929,f156]) ).
fof(f1931,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,n4))
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1930,f197]) ).
fof(f1932,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),n6)
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1931,f165]) ).
fof(f1933,plain,
( sK2 = sum(pred(sum(n3,n3)),n6)
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1932,f211]) ).
fof(f1934,plain,
( sK2 = sum(pred(n6),n6)
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1933,f155]) ).
fof(f1935,plain,
( sum(n5,n6) = sK2
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1934,f196]) ).
fof(f1936,plain,
( n0 = sK2
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1935,f130]) ).
fof(f1937,plain,
( $false
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f1936,f69]) ).
fof(f1938,plain,
( ~ spl3_4
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1937]) ).
fof(f1943,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,pred(sum(n3,n6))))
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1924,f286]) ).
fof(f1944,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,pred(n9)))
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1943,f152]) ).
fof(f1945,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,n8))
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1944,f193]) ).
fof(f1946,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),n3)
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1945,f117]) ).
fof(f1947,plain,
( sK2 = sum(pred(sum(n3,n7)),n3)
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1946,f207]) ).
fof(f1948,plain,
( sK2 = sum(pred(n10),n3)
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1947,f151]) ).
fof(f1949,plain,
( sum(n9,n3) = sK2
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1948,f192]) ).
fof(f1950,plain,
( n1 = sK2
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1949,f89]) ).
fof(f1951,plain,
( $false
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f1950,f68]) ).
fof(f1952,plain,
( ~ spl3_4
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1951]) ).
fof(f1956,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,pred(sum(n3,n8))))
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1924,f294]) ).
fof(f1957,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,pred(n0)))
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1956,f150]) ).
fof(f1958,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,n10))
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1957,f202]) ).
fof(f1959,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),n7)
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1958,f93]) ).
fof(f1960,plain,
( sK2 = sum(pred(sum(n3,n9)),n7)
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1959,f205]) ).
fof(f1961,plain,
( sK2 = sum(pred(n1),n7)
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1960,f149]) ).
fof(f1962,plain,
( sum(n0,n7) = sK2
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1961,f201]) ).
fof(f1963,plain,
( n7 = sK2
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1962,f184]) ).
fof(f1964,plain,
( $false
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f1963,f62]) ).
fof(f1965,plain,
( ~ spl3_4
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1964]) ).
fof(f1968,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,pred(sum(n3,n10))))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1924,f302]) ).
fof(f1969,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,pred(n2)))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1968,f148]) ).
fof(f1970,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,n1))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1969,f200]) ).
fof(f1971,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),n0)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1970,f80]) ).
fof(f1972,plain,
( sK2 = sum(pred(sum(n3,n0)),n0)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1971,f203]) ).
fof(f1973,plain,
( sK2 = sum(pred(n3),n0)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1972,f158]) ).
fof(f1974,plain,
( sum(n2,n0) = sK2
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1973,f199]) ).
fof(f1975,plain,
( n2 = sK2
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1974,f169]) ).
fof(f1976,plain,
( $false
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f1975,f67]) ).
fof(f1977,plain,
( ~ spl3_4
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1976]) ).
fof(f1981,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,pred(sum(n3,n4))))
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1924,f278]) ).
fof(f1982,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,pred(n7)))
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1981,f154]) ).
fof(f1983,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,n6))
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1982,f195]) ).
fof(f1984,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),n10)
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1983,f141]) ).
fof(f1985,plain,
( sK2 = sum(pred(sum(n3,n5)),n10)
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1984,f209]) ).
fof(f1986,plain,
( sK2 = sum(pred(n8),n10)
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1985,f153]) ).
fof(f1987,plain,
( sum(n7,n10) = sK2
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1986,f194]) ).
fof(f1988,plain,
( n6 = sK2
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1987,f104]) ).
fof(f1989,plain,
( $false
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f1988,f63]) ).
fof(f1990,plain,
( ~ spl3_4
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f1995,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,pred(sum(n3,n1))))
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1924,f266]) ).
fof(f1996,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,pred(n4)))
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1995,f157]) ).
fof(f1997,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,n3))
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1996,f198]) ).
fof(f1998,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),n4)
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1997,f177]) ).
fof(f1999,plain,
( sK2 = sum(pred(sum(n3,n2)),n4)
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1998,f212]) ).
fof(f2000,plain,
( sK2 = sum(pred(n5),n4)
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1999,f156]) ).
fof(f2001,plain,
( sum(n4,n4) = sK2
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2000,f197]) ).
fof(f2002,plain,
( n8 = sK2
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2001,f143]) ).
fof(f2003,plain,
( $false
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_subsumption_resolution,[],[f2002,f61]) ).
fof(f2004,plain,
( ~ spl3_4
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2003]) ).
fof(f2013,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f70,f237]) ).
fof(f2019,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,pred(sum(n5,n4))))
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2013,f278]) ).
fof(f2020,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,pred(n9)))
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2019,f132]) ).
fof(f2021,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,n8))
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2020,f193]) ).
fof(f2022,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),n1)
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2021,f139]) ).
fof(f2023,plain,
( sK2 = sum(pred(sum(n5,n5)),n1)
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2022,f209]) ).
fof(f2024,plain,
( sK2 = sum(pred(n10),n1)
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2023,f131]) ).
fof(f2025,plain,
( sum(n9,n1) = sK2
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2024,f192]) ).
fof(f2026,plain,
( n10 = sK2
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2025,f91]) ).
fof(f2027,plain,
( $false
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f2026,f59]) ).
fof(f2028,plain,
( ~ spl3_6
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2027]) ).
fof(f2035,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f70,f225]) ).
fof(f2040,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,pred(sum(n2,n4))))
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2035,f278]) ).
fof(f2041,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,pred(n6)))
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2040,f165]) ).
fof(f2042,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,n5))
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2041,f196]) ).
fof(f2043,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),n9)
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2042,f142]) ).
fof(f2044,plain,
( sK2 = sum(pred(sum(n2,n5)),n9)
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2043,f209]) ).
fof(f2045,plain,
( sK2 = sum(pred(n7),n9)
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2044,f164]) ).
fof(f2046,plain,
( sum(n6,n9) = sK2
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2045,f195]) ).
fof(f2047,plain,
( n4 = sK2
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2046,f116]) ).
fof(f2048,plain,
( $false
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f2047,f65]) ).
fof(f2049,plain,
( ~ spl3_3
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2048]) ).
fof(f2055,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f70,f233]) ).
fof(f2061,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(sum(n4,n4))))
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2055,f278]) ).
fof(f2062,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(n8)))
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2061,f143]) ).
fof(f2063,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,n7))
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2062,f194]) ).
fof(f2064,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),n0)
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2063,f140]) ).
fof(f2065,plain,
( sK2 = sum(pred(sum(n4,n5)),n0)
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2064,f209]) ).
fof(f2066,plain,
( sK2 = sum(pred(n9),n0)
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2065,f142]) ).
fof(f2067,plain,
( sum(n8,n0) = sK2
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2066,f193]) ).
fof(f2068,plain,
( n8 = sK2
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2067,f103]) ).
fof(f2069,plain,
( $false
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f2068,f61]) ).
fof(f2070,plain,
( ~ spl3_5
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2069]) ).
fof(f2077,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f70,f217]) ).
fof(f2082,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(sum(n0,n4))))
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2077,f278]) ).
fof(f2083,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(n4)))
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2082,f187]) ).
fof(f2084,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,n3))
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2083,f198]) ).
fof(f2085,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),n7)
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2084,f144]) ).
fof(f2086,plain,
( sK2 = sum(pred(sum(n0,n5)),n7)
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2085,f209]) ).
fof(f2087,plain,
( sK2 = sum(pred(n5),n7)
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2086,f186]) ).
fof(f2088,plain,
( sum(n4,n7) = sK2
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2087,f197]) ).
fof(f2089,plain,
( n0 = sK2
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2088,f140]) ).
fof(f2090,plain,
( $false
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f2089,f69]) ).
fof(f2091,plain,
( ~ spl3_1
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2090]) ).
fof(f2100,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f70,f233]) ).
fof(f2105,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,pred(sum(n4,n8))))
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2100,f294]) ).
fof(f2106,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,pred(n1)))
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2105,f139]) ).
fof(f2107,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,n0))
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2106,f201]) ).
fof(f2108,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),n8)
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2107,f103]) ).
fof(f2109,plain,
( sK2 = sum(pred(sum(n4,n9)),n8)
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2108,f205]) ).
fof(f2110,plain,
( sK2 = sum(pred(n2),n8)
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2109,f138]) ).
fof(f2111,plain,
( sum(n1,n8) = sK2
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2110,f200]) ).
fof(f2112,plain,
( n9 = sK2
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2111,f172]) ).
fof(f2113,plain,
( $false
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f2112,f60]) ).
fof(f2114,plain,
( ~ spl3_5
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2113]) ).
fof(f2119,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,pred(sum(n4,n1))))
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2100,f266]) ).
fof(f2120,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,pred(n5)))
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2119,f146]) ).
fof(f2121,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,n4))
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2120,f197]) ).
fof(f2122,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),n5)
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2121,f176]) ).
fof(f2123,plain,
( sK2 = sum(pred(sum(n4,n2)),n5)
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2122,f212]) ).
fof(f2124,plain,
( sK2 = sum(pred(n6),n5)
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2123,f145]) ).
fof(f2125,plain,
( sum(n5,n5) = sK2
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2124,f196]) ).
fof(f2126,plain,
( n10 = sK2
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2125,f131]) ).
fof(f2127,plain,
( $false
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_subsumption_resolution,[],[f2126,f59]) ).
fof(f2128,plain,
( ~ spl3_5
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2127]) ).
fof(f2133,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(sum(n4,n6))))
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2100,f286]) ).
fof(f2134,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(n10)))
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2133,f141]) ).
fof(f2135,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,n9))
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2134,f192]) ).
fof(f2136,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),n4)
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2135,f116]) ).
fof(f2137,plain,
( sK2 = sum(pred(sum(n4,n7)),n4)
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2136,f207]) ).
fof(f2138,plain,
( sK2 = sum(pred(n0),n4)
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2137,f140]) ).
fof(f2139,plain,
( sum(n10,n4) = sK2
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2138,f202]) ).
fof(f2140,plain,
( n3 = sK2
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2139,f77]) ).
fof(f2141,plain,
( $false
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f2140,f66]) ).
fof(f2142,plain,
( ~ spl3_5
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2141]) ).
fof(f2146,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,pred(sum(n4,n10))))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2100,f302]) ).
fof(f2147,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,pred(n3)))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2146,f137]) ).
fof(f2148,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,n2))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2147,f199]) ).
fof(f2149,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),n1)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2148,f79]) ).
fof(f2150,plain,
( sK2 = sum(pred(sum(n4,n0)),n1)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2149,f203]) ).
fof(f2151,plain,
( sK2 = sum(pred(n4),n1)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2150,f147]) ).
fof(f2152,plain,
( sum(n3,n1) = sK2
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2151,f198]) ).
fof(f2153,plain,
( n4 = sK2
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2152,f157]) ).
fof(f2154,plain,
( $false
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f2153,f65]) ).
fof(f2155,plain,
( ~ spl3_5
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2154]) ).
fof(f2162,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f70,f237]) ).
fof(f2168,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,pred(sum(n5,n8))))
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2162,f294]) ).
fof(f2169,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,pred(n2)))
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2168,f128]) ).
fof(f2170,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,n1))
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2169,f200]) ).
fof(f2171,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),n9)
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2170,f102]) ).
fof(f2172,plain,
( sK2 = sum(pred(sum(n5,n9)),n9)
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2171,f205]) ).
fof(f2173,plain,
( sK2 = sum(pred(n3),n9)
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2172,f127]) ).
fof(f2174,plain,
( sum(n2,n9) = sK2
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2173,f199]) ).
fof(f2175,plain,
( n0 = sK2
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2174,f160]) ).
fof(f2176,plain,
( $false
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f2175,f69]) ).
fof(f2177,plain,
( ~ spl3_6
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2176]) ).
fof(f2183,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f70,f225]) ).
fof(f2188,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(sum(n2,n8))))
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2183,f294]) ).
fof(f2189,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(n10)))
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2188,f161]) ).
fof(f2190,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,n9))
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2189,f192]) ).
fof(f2191,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),n6)
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2190,f94]) ).
fof(f2192,plain,
( sK2 = sum(pred(sum(n2,n9)),n6)
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2191,f205]) ).
fof(f2193,plain,
( sK2 = sum(pred(n0),n6)
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2192,f160]) ).
fof(f2194,plain,
( sum(n10,n6) = sK2
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2193,f202]) ).
fof(f2195,plain,
( n5 = sK2
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2194,f75]) ).
fof(f2196,plain,
( $false
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f2195,f64]) ).
fof(f2197,plain,
( ~ spl3_3
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2196]) ).
fof(f2204,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f70,f217]) ).
fof(f2209,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,pred(sum(n0,n8))))
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2204,f294]) ).
fof(f2210,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,pred(n8)))
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2209,f183]) ).
fof(f2211,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,n7))
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2210,f194]) ).
fof(f2212,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),n4)
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2211,f96]) ).
fof(f2213,plain,
( sK2 = sum(pred(sum(n0,n9)),n4)
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2212,f205]) ).
fof(f2214,plain,
( sK2 = sum(pred(n9),n4)
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2213,f182]) ).
fof(f2215,plain,
( sum(n8,n4) = sK2
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2214,f193]) ).
fof(f2216,plain,
( n1 = sK2
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2215,f99]) ).
fof(f2217,plain,
( $false
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f2216,f68]) ).
fof(f2218,plain,
( ~ spl3_1
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2217]) ).
fof(f2226,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f70,f237]) ).
fof(f2231,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,pred(sum(n5,n10))))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2226,f302]) ).
fof(f2232,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,pred(n4)))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2231,f126]) ).
fof(f2233,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,n3))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2232,f198]) ).
fof(f2234,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),n2)
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2233,f78]) ).
fof(f2235,plain,
( sK2 = sum(pred(sum(n5,n0)),n2)
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2234,f203]) ).
fof(f2236,plain,
( sK2 = sum(pred(n5),n2)
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2235,f136]) ).
fof(f2237,plain,
( sum(n4,n2) = sK2
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2236,f197]) ).
fof(f2238,plain,
( n6 = sK2
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2237,f145]) ).
fof(f2239,plain,
( $false
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f2238,f63]) ).
fof(f2240,plain,
( ~ spl3_6
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2239]) ).
fof(f2244,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,pred(sum(n5,n1))))
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2226,f266]) ).
fof(f2245,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,pred(n6)))
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2244,f135]) ).
fof(f2246,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,n5))
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2245,f196]) ).
fof(f2247,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),n6)
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2246,f175]) ).
fof(f2248,plain,
( sK2 = sum(pred(sum(n5,n2)),n6)
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2247,f212]) ).
fof(f2249,plain,
( sK2 = sum(pred(n7),n6)
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2248,f134]) ).
fof(f2250,plain,
( sum(n6,n6) = sK2
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2249,f195]) ).
fof(f2251,plain,
( n1 = sK2
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2250,f119]) ).
fof(f2252,plain,
( $false
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_subsumption_resolution,[],[f2251,f68]) ).
fof(f2253,plain,
( ~ spl3_6
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2252]) ).
fof(f2257,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,pred(sum(n5,n6))))
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2226,f286]) ).
fof(f2258,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,pred(n0)))
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2257,f130]) ).
fof(f2259,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,n10))
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2258,f202]) ).
fof(f2260,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),n5)
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2259,f115]) ).
fof(f2261,plain,
( sK2 = sum(pred(sum(n5,n7)),n5)
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2260,f207]) ).
fof(f2262,plain,
( sK2 = sum(pred(n1),n5)
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2261,f129]) ).
fof(f2263,plain,
( sum(n0,n5) = sK2
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2262,f201]) ).
fof(f2264,plain,
( n5 = sK2
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2263,f186]) ).
fof(f2265,plain,
( $false
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f2264,f64]) ).
fof(f2266,plain,
( ~ spl3_6
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2265]) ).
fof(f2276,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f70,f217]) ).
fof(f2281,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(sum(n0,n1))))
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2276,f266]) ).
fof(f2282,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(n1)))
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2281,f190]) ).
fof(f2283,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,n0))
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2282,f201]) ).
fof(f2284,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),n1)
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2283,f180]) ).
fof(f2285,plain,
( sK2 = sum(pred(sum(n0,n2)),n1)
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2284,f212]) ).
fof(f2286,plain,
( sK2 = sum(pred(n2),n1)
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2285,f189]) ).
fof(f2287,plain,
( sum(n1,n1) = sK2
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2286,f200]) ).
fof(f2288,plain,
( n2 = sK2
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2287,f179]) ).
fof(f2289,plain,
( $false
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_subsumption_resolution,[],[f2288,f67]) ).
fof(f2290,plain,
( ~ spl3_1
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2289]) ).
fof(f2296,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f70,f225]) ).
fof(f2302,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,pred(sum(n2,n1))))
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2296,f266]) ).
fof(f2303,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,pred(n3)))
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2302,f168]) ).
fof(f2304,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,n2))
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2303,f199]) ).
fof(f2305,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),n3)
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2304,f178]) ).
fof(f2306,plain,
( sK2 = sum(pred(sum(n2,n2)),n3)
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2305,f212]) ).
fof(f2307,plain,
( sK2 = sum(pred(n4),n3)
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2306,f167]) ).
fof(f2308,plain,
( sum(n3,n3) = sK2
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2307,f198]) ).
fof(f2309,plain,
( n6 = sK2
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2308,f155]) ).
fof(f2310,plain,
( $false
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_subsumption_resolution,[],[f2309,f63]) ).
fof(f2311,plain,
( ~ spl3_3
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2310]) ).
fof(f2319,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f70,f217]) ).
fof(f2324,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,pred(sum(n0,n10))))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2319,f302]) ).
fof(f2325,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,pred(n10)))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2324,f181]) ).
fof(f2326,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,n9))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2325,f192]) ).
fof(f2327,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),n8)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2326,f72]) ).
fof(f2328,plain,
( sK2 = sum(pred(sum(n0,n0)),n8)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2327,f203]) ).
fof(f2329,plain,
( sK2 = sum(pred(n0),n8)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2328,f191]) ).
fof(f2330,plain,
( sum(n10,n8) = sK2
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2329,f202]) ).
fof(f2331,plain,
( n7 = sK2
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2330,f73]) ).
fof(f2332,plain,
( $false
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f2331,f62]) ).
fof(f2333,plain,
( ~ spl3_1
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2332]) ).
fof(f2337,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(sum(n0,n6))))
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2319,f286]) ).
fof(f2338,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(n6)))
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2337,f185]) ).
fof(f2339,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,n5))
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2338,f196]) ).
fof(f2340,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),n0)
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2339,f120]) ).
fof(f2341,plain,
( sK2 = sum(pred(sum(n0,n7)),n0)
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2340,f207]) ).
fof(f2342,plain,
( sK2 = sum(pred(n7),n0)
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2341,f184]) ).
fof(f2343,plain,
( sum(n6,n0) = sK2
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2342,f195]) ).
fof(f2344,plain,
( n6 = sK2
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2343,f125]) ).
fof(f2345,plain,
( $false
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f2344,f63]) ).
fof(f2346,plain,
( ~ spl3_1
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2345]) ).
fof(f2352,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f70,f225]) ).
fof(f2358,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,pred(sum(n2,n6))))
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2352,f286]) ).
fof(f2359,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,pred(n8)))
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2358,f163]) ).
fof(f2360,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,n7))
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2359,f194]) ).
fof(f2361,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),n2)
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2360,f118]) ).
fof(f2362,plain,
( sK2 = sum(pred(sum(n2,n7)),n2)
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2361,f207]) ).
fof(f2363,plain,
( sK2 = sum(pred(n9),n2)
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2362,f162]) ).
fof(f2364,plain,
( sum(n8,n2) = sK2
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2363,f193]) ).
fof(f2365,plain,
( n10 = sK2
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2364,f101]) ).
fof(f2366,plain,
( $false
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f2365,f59]) ).
fof(f2367,plain,
( ~ spl3_3
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2366]) ).
fof(f2370,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(sum(n2,n10))))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2352,f302]) ).
fof(f2371,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(n1)))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2370,f159]) ).
fof(f2372,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,n0))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2371,f201]) ).
fof(f2373,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),n10)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2372,f81]) ).
fof(f2374,plain,
( sK2 = sum(pred(sum(n2,n0)),n10)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2373,f203]) ).
fof(f2375,plain,
( sK2 = sum(pred(n2),n10)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2374,f169]) ).
fof(f2376,plain,
( sum(n1,n10) = sK2
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2375,f200]) ).
fof(f2377,plain,
( n0 = sK2
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2376,f170]) ).
fof(f2378,plain,
( $false
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f2377,f69]) ).
fof(f2379,plain,
( ~ spl3_3
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2378]) ).
cnf(s1,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4
| spl3_5
| spl3_6
| spl3_7
| spl3_8
| spl3_9
| spl3_10
| spl3_11 ),
inference(sat_conversion,[],[f258]) ).
cnf(s2,plain,
( spl3_12
| spl3_13
| spl3_14
| spl3_15
| spl3_16
| spl3_17
| spl3_18
| spl3_19
| spl3_20
| spl3_21
| spl3_22 ),
inference(sat_conversion,[],[f303]) ).
cnf(s4,plain,
( ~ spl3_2
| ~ spl3_12 ),
inference(sat_conversion,[],[f325]) ).
cnf(s5,plain,
( ~ spl3_2
| ~ spl3_13 ),
inference(sat_conversion,[],[f335]) ).
cnf(s6,plain,
( ~ spl3_2
| ~ spl3_14 ),
inference(sat_conversion,[],[f345]) ).
cnf(s7,plain,
( ~ spl3_2
| ~ spl3_15 ),
inference(sat_conversion,[],[f355]) ).
cnf(s8,plain,
( ~ spl3_2
| ~ spl3_16 ),
inference(sat_conversion,[],[f365]) ).
cnf(s9,plain,
( ~ spl3_2
| ~ spl3_17 ),
inference(sat_conversion,[],[f375]) ).
cnf(s10,plain,
( ~ spl3_2
| ~ spl3_18 ),
inference(sat_conversion,[],[f385]) ).
cnf(s11,plain,
( ~ spl3_2
| ~ spl3_19 ),
inference(sat_conversion,[],[f395]) ).
cnf(s12,plain,
( ~ spl3_2
| ~ spl3_20 ),
inference(sat_conversion,[],[f405]) ).
cnf(s13,plain,
( ~ spl3_2
| ~ spl3_21 ),
inference(sat_conversion,[],[f415]) ).
cnf(s14,plain,
( ~ spl3_2
| ~ spl3_22 ),
inference(sat_conversion,[],[f425]) ).
cnf(s15,plain,
( ~ spl3_9
| ~ spl3_15 ),
inference(sat_conversion,[],[f437]) ).
cnf(s16,plain,
( ~ spl3_6
| ~ spl3_15 ),
inference(sat_conversion,[],[f450]) ).
cnf(s17,plain,
( ~ spl3_1
| ~ spl3_15 ),
inference(sat_conversion,[],[f464]) ).
cnf(s18,plain,
( ~ spl3_7
| ~ spl3_15 ),
inference(sat_conversion,[],[f479]) ).
cnf(s19,plain,
( ~ spl3_5
| ~ spl3_15 ),
inference(sat_conversion,[],[f495]) ).
cnf(s20,plain,
( ~ spl3_4
| ~ spl3_15 ),
inference(sat_conversion,[],[f512]) ).
cnf(s21,plain,
( ~ spl3_3
| ~ spl3_15 ),
inference(sat_conversion,[],[f530]) ).
cnf(s22,plain,
( ~ spl3_8
| ~ spl3_15 ),
inference(sat_conversion,[],[f549]) ).
cnf(s23,plain,
( ~ spl3_10
| ~ spl3_15 ),
inference(sat_conversion,[],[f569]) ).
cnf(s24,plain,
( ~ spl3_11
| ~ spl3_15 ),
inference(sat_conversion,[],[f590]) ).
cnf(s25,plain,
( ~ spl3_8
| ~ spl3_17 ),
inference(sat_conversion,[],[f610]) ).
cnf(s26,plain,
( ~ spl3_8
| ~ spl3_21 ),
inference(sat_conversion,[],[f620]) ).
cnf(s27,plain,
( ~ spl3_8
| ~ spl3_13 ),
inference(sat_conversion,[],[f631]) ).
cnf(s28,plain,
( ~ spl3_8
| ~ spl3_19 ),
inference(sat_conversion,[],[f642]) ).
cnf(s29,plain,
( ~ spl3_8
| ~ spl3_18 ),
inference(sat_conversion,[],[f654]) ).
cnf(s30,plain,
( ~ spl3_8
| ~ spl3_12 ),
inference(sat_conversion,[],[f667]) ).
cnf(s31,plain,
( ~ spl3_8
| ~ spl3_22 ),
inference(sat_conversion,[],[f680]) ).
cnf(s32,plain,
( ~ spl3_8
| ~ spl3_16 ),
inference(sat_conversion,[],[f694]) ).
cnf(s33,plain,
( ~ spl3_8
| ~ spl3_20 ),
inference(sat_conversion,[],[f708]) ).
cnf(s34,plain,
( ~ spl3_8
| ~ spl3_14 ),
inference(sat_conversion,[],[f723]) ).
cnf(s35,plain,
( ~ spl3_9
| ~ spl3_17 ),
inference(sat_conversion,[],[f748]) ).
cnf(s36,plain,
( ~ spl3_3
| ~ spl3_17 ),
inference(sat_conversion,[],[f768]) ).
cnf(s37,plain,
( ~ spl3_10
| ~ spl3_17 ),
inference(sat_conversion,[],[f788]) ).
cnf(s38,plain,
( ~ spl3_7
| ~ spl3_17 ),
inference(sat_conversion,[],[f808]) ).
cnf(s39,plain,
( ~ spl3_1
| ~ spl3_17 ),
inference(sat_conversion,[],[f828]) ).
cnf(s40,plain,
( ~ spl3_6
| ~ spl3_17 ),
inference(sat_conversion,[],[f848]) ).
cnf(s41,plain,
( ~ spl3_4
| ~ spl3_17 ),
inference(sat_conversion,[],[f868]) ).
cnf(s42,plain,
( ~ spl3_11
| ~ spl3_17 ),
inference(sat_conversion,[],[f889]) ).
cnf(s43,plain,
( ~ spl3_5
| ~ spl3_17 ),
inference(sat_conversion,[],[f910]) ).
cnf(s44,plain,
( ~ spl3_9
| ~ spl3_18 ),
inference(sat_conversion,[],[f934]) ).
cnf(s45,plain,
( ~ spl3_9
| ~ spl3_22 ),
inference(sat_conversion,[],[f947]) ).
cnf(s46,plain,
( ~ spl3_9
| ~ spl3_19 ),
inference(sat_conversion,[],[f960]) ).
cnf(s47,plain,
( ~ spl3_9
| ~ spl3_14 ),
inference(sat_conversion,[],[f974]) ).
cnf(s48,plain,
( ~ spl3_9
| ~ spl3_12 ),
inference(sat_conversion,[],[f989]) ).
cnf(s49,plain,
( ~ spl3_9
| ~ spl3_13 ),
inference(sat_conversion,[],[f1004]) ).
cnf(s50,plain,
( ~ spl3_9
| ~ spl3_20 ),
inference(sat_conversion,[],[f1018]) ).
cnf(s51,plain,
( ~ spl3_9
| ~ spl3_16 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s52,plain,
( ~ spl3_9
| ~ spl3_21 ),
inference(sat_conversion,[],[f1047]) ).
cnf(s53,plain,
( ~ spl3_4
| ~ spl3_19 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s54,plain,
( ~ spl3_5
| ~ spl3_19 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s55,plain,
( ~ spl3_1
| ~ spl3_19 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s56,plain,
( ~ spl3_7
| ~ spl3_19 ),
inference(sat_conversion,[],[f1133]) ).
cnf(s57,plain,
( ~ spl3_3
| ~ spl3_19 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s58,plain,
( ~ spl3_11
| ~ spl3_19 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s59,plain,
( ~ spl3_10
| ~ spl3_19 ),
inference(sat_conversion,[],[f1196]) ).
cnf(s60,plain,
( ~ spl3_6
| ~ spl3_19 ),
inference(sat_conversion,[],[f1217]) ).
cnf(s61,plain,
( ~ spl3_10
| ~ spl3_18 ),
inference(sat_conversion,[],[f1241]) ).
cnf(s62,plain,
( ~ spl3_10
| ~ spl3_21 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s63,plain,
( ~ spl3_10
| ~ spl3_12 ),
inference(sat_conversion,[],[f1270]) ).
cnf(s64,plain,
( ~ spl3_10
| ~ spl3_13 ),
inference(sat_conversion,[],[f1285]) ).
cnf(s65,plain,
( ~ spl3_10
| ~ spl3_14 ),
inference(sat_conversion,[],[f1299]) ).
cnf(s66,plain,
( ~ spl3_10
| ~ spl3_22 ),
inference(sat_conversion,[],[f1312]) ).
cnf(s67,plain,
( ~ spl3_10
| ~ spl3_20 ),
inference(sat_conversion,[],[f1325]) ).
cnf(s68,plain,
( ~ spl3_10
| ~ spl3_16 ),
inference(sat_conversion,[],[f1339]) ).
cnf(s69,plain,
( ~ spl3_7
| ~ spl3_21 ),
inference(sat_conversion,[],[f1362]) ).
cnf(s70,plain,
( ~ spl3_6
| ~ spl3_21 ),
inference(sat_conversion,[],[f1383]) ).
cnf(s71,plain,
( ~ spl3_4
| ~ spl3_21 ),
inference(sat_conversion,[],[f1404]) ).
cnf(s72,plain,
( ~ spl3_3
| ~ spl3_21 ),
inference(sat_conversion,[],[f1425]) ).
cnf(s73,plain,
( ~ spl3_5
| ~ spl3_21 ),
inference(sat_conversion,[],[f1446]) ).
cnf(s74,plain,
( ~ spl3_11
| ~ spl3_21 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s75,plain,
( ~ spl3_1
| ~ spl3_21 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s76,plain,
( ~ spl3_11
| ~ spl3_18 ),
inference(sat_conversion,[],[f1512]) ).
cnf(s77,plain,
( ~ spl3_11
| ~ spl3_14 ),
inference(sat_conversion,[],[f1527]) ).
cnf(s78,plain,
( ~ spl3_11
| ~ spl3_13 ),
inference(sat_conversion,[],[f1543]) ).
cnf(s79,plain,
( ~ spl3_11
| ~ spl3_22 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s80,plain,
( ~ spl3_11
| ~ spl3_12 ),
inference(sat_conversion,[],[f1574]) ).
cnf(s81,plain,
( ~ spl3_11
| ~ spl3_16 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s82,plain,
( ~ spl3_11
| ~ spl3_20 ),
inference(sat_conversion,[],[f1605]) ).
cnf(s83,plain,
( ~ spl3_4
| ~ spl3_12 ),
inference(sat_conversion,[],[f1630]) ).
cnf(s84,plain,
( ~ spl3_6
| ~ spl3_12 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s85,plain,
( ~ spl3_1
| ~ spl3_12 ),
inference(sat_conversion,[],[f1671]) ).
cnf(s86,plain,
( ~ spl3_7
| ~ spl3_12 ),
inference(sat_conversion,[],[f1692]) ).
cnf(s87,plain,
( ~ spl3_5
| ~ spl3_12 ),
inference(sat_conversion,[],[f1713]) ).
cnf(s88,plain,
( ~ spl3_3
| ~ spl3_12 ),
inference(sat_conversion,[],[f1734]) ).
cnf(s89,plain,
( ~ spl3_7
| ~ spl3_18 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s90,plain,
( ~ spl3_7
| ~ spl3_14 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s91,plain,
( ~ spl3_7
| ~ spl3_22 ),
inference(sat_conversion,[],[f1785]) ).
cnf(s92,plain,
( ~ spl3_7
| ~ spl3_16 ),
inference(sat_conversion,[],[f1799]) ).
cnf(s93,plain,
( ~ spl3_7
| ~ spl3_20 ),
inference(sat_conversion,[],[f1813]) ).
cnf(s94,plain,
( ~ spl3_7
| ~ spl3_13 ),
inference(sat_conversion,[],[f1828]) ).
cnf(s95,plain,
( ~ spl3_3
| ~ spl3_14 ),
inference(sat_conversion,[],[f1854]) ).
cnf(s96,plain,
( ~ spl3_6
| ~ spl3_14 ),
inference(sat_conversion,[],[f1875]) ).
cnf(s97,plain,
( ~ spl3_1
| ~ spl3_14 ),
inference(sat_conversion,[],[f1896]) ).
cnf(s98,plain,
( ~ spl3_5
| ~ spl3_14 ),
inference(sat_conversion,[],[f1917]) ).
cnf(s99,plain,
( ~ spl3_4
| ~ spl3_14 ),
inference(sat_conversion,[],[f1938]) ).
cnf(s100,plain,
( ~ spl3_4
| ~ spl3_18 ),
inference(sat_conversion,[],[f1952]) ).
cnf(s101,plain,
( ~ spl3_4
| ~ spl3_20 ),
inference(sat_conversion,[],[f1965]) ).
cnf(s102,plain,
( ~ spl3_4
| ~ spl3_22 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s103,plain,
( ~ spl3_4
| ~ spl3_16 ),
inference(sat_conversion,[],[f1990]) ).
cnf(s104,plain,
( ~ spl3_4
| ~ spl3_13 ),
inference(sat_conversion,[],[f2004]) ).
cnf(s105,plain,
( ~ spl3_6
| ~ spl3_16 ),
inference(sat_conversion,[],[f2028]) ).
cnf(s106,plain,
( ~ spl3_3
| ~ spl3_16 ),
inference(sat_conversion,[],[f2049]) ).
cnf(s107,plain,
( ~ spl3_5
| ~ spl3_16 ),
inference(sat_conversion,[],[f2070]) ).
cnf(s108,plain,
( ~ spl3_1
| ~ spl3_16 ),
inference(sat_conversion,[],[f2091]) ).
cnf(s109,plain,
( ~ spl3_5
| ~ spl3_20 ),
inference(sat_conversion,[],[f2114]) ).
cnf(s110,plain,
( ~ spl3_5
| ~ spl3_13 ),
inference(sat_conversion,[],[f2128]) ).
cnf(s111,plain,
( ~ spl3_5
| ~ spl3_18 ),
inference(sat_conversion,[],[f2142]) ).
cnf(s112,plain,
( ~ spl3_5
| ~ spl3_22 ),
inference(sat_conversion,[],[f2155]) ).
cnf(s113,plain,
( ~ spl3_6
| ~ spl3_20 ),
inference(sat_conversion,[],[f2177]) ).
cnf(s114,plain,
( ~ spl3_3
| ~ spl3_20 ),
inference(sat_conversion,[],[f2197]) ).
cnf(s115,plain,
( ~ spl3_1
| ~ spl3_20 ),
inference(sat_conversion,[],[f2218]) ).
cnf(s116,plain,
( ~ spl3_6
| ~ spl3_22 ),
inference(sat_conversion,[],[f2240]) ).
cnf(s117,plain,
( ~ spl3_6
| ~ spl3_13 ),
inference(sat_conversion,[],[f2253]) ).
cnf(s118,plain,
( ~ spl3_6
| ~ spl3_18 ),
inference(sat_conversion,[],[f2266]) ).
cnf(s119,plain,
( ~ spl3_1
| ~ spl3_13 ),
inference(sat_conversion,[],[f2290]) ).
cnf(s120,plain,
( ~ spl3_3
| ~ spl3_13 ),
inference(sat_conversion,[],[f2311]) ).
cnf(s121,plain,
( ~ spl3_1
| ~ spl3_22 ),
inference(sat_conversion,[],[f2333]) ).
cnf(s122,plain,
( ~ spl3_1
| ~ spl3_18 ),
inference(sat_conversion,[],[f2346]) ).
cnf(s123,plain,
( ~ spl3_3
| ~ spl3_18 ),
inference(sat_conversion,[],[f2367]) ).
cnf(s124,plain,
( ~ spl3_3
| ~ spl3_22 ),
inference(sat_conversion,[],[f2379]) ).
cnf(s125,plain,
~ spl3_11,
inference(rat,[],[s2,s24,s42,s58,s74,s76,s77,s78,s79,s80,s81,s82]) ).
cnf(s126,plain,
~ spl3_10,
inference(rat,[],[s2,s23,s37,s59,s61,s62,s63,s64,s65,s66,s67,s68]) ).
cnf(s127,plain,
~ spl3_9,
inference(rat,[],[s2,s15,s35,s44,s45,s46,s47,s48,s49,s50,s51,s52]) ).
cnf(s128,plain,
~ spl3_8,
inference(rat,[],[s2,s22,s25,s26,s27,s28,s29,s30,s31,s32,s33,s34]) ).
cnf(s129,plain,
~ spl3_7,
inference(rat,[],[s2,s18,s38,s56,s69,s86,s89,s90,s91,s92,s93,s94]) ).
cnf(s130,plain,
~ spl3_6,
inference(rat,[],[s2,s16,s40,s60,s70,s84,s96,s105,s113,s116,s117,s118]) ).
cnf(s131,plain,
~ spl3_5,
inference(rat,[],[s2,s19,s43,s54,s73,s87,s98,s107,s109,s110,s111,s112]) ).
cnf(s132,plain,
~ spl3_4,
inference(rat,[],[s2,s20,s41,s53,s71,s83,s99,s100,s101,s102,s103,s104]) ).
cnf(s133,plain,
~ spl3_3,
inference(rat,[],[s2,s21,s36,s57,s72,s88,s95,s106,s114,s120,s123,s124]) ).
cnf(s134,plain,
~ spl3_2,
inference(rat,[],[s2,s4,s5,s6,s7,s8,s9,s10,s11,s12,s13,s14]) ).
cnf(s135,plain,
spl3_1,
inference(rat,[],[s1,s127,s130,s129,s131,s132,s128,s126,s125,s133,s134]) ).
cnf(s136,plain,
~ spl3_18,
inference(rat,[],[s122,s135]) ).
cnf(s137,plain,
~ spl3_22,
inference(rat,[],[s121,s135]) ).
cnf(s138,plain,
~ spl3_13,
inference(rat,[],[s119,s135]) ).
cnf(s139,plain,
~ spl3_20,
inference(rat,[],[s115,s135]) ).
cnf(s140,plain,
~ spl3_16,
inference(rat,[],[s108,s135]) ).
cnf(s141,plain,
~ spl3_14,
inference(rat,[],[s97,s135]) ).
cnf(s142,plain,
~ spl3_12,
inference(rat,[],[s85,s135]) ).
cnf(s143,plain,
~ spl3_21,
inference(rat,[],[s75,s135]) ).
cnf(s144,plain,
~ spl3_19,
inference(rat,[],[s55,s135]) ).
cnf(s145,plain,
~ spl3_17,
inference(rat,[],[s39,s135]) ).
cnf(s146,plain,
~ spl3_15,
inference(rat,[],[s17,s135]) ).
cnf(s147,plain,
$false,
inference(rat,[],[s2,s137,s143,s139,s144,s136,s145,s140,s146,s141,s138,s142]) ).
fof(f2380,plain,
$false,
inference(avatar_sat_refutation,[],[s147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM375+1.010 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n015.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 19:45:01 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % (1972313)Will run a generic schedule for satisfiability detection.
% 0.18/0.50 % (1972322)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1823508395:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50 % (1972319)% WARNING: option uhcvi not known.
% 0.18/0.50 % (1972318)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4238745658_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50 % (1972319)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1179308050:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50 % (1972320)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1409925244:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50 % (1972321)dis+10_1_sil=32000:sp=arity:random_seed=8464018:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50 % (1972323)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=931507320:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50 % (1972324)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2724759248:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50 % (1972322) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1972313-1972322"...
% 0.18/0.50 % Detected minimum model sizes of [12]
% 0.18/0.50 % Detected maximum model sizes of [max]
% 0.18/0.50 % TRYING [12]
% 0.18/0.50 % (1972322)...printing done.
% 0.18/0.50 % (1972322)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (1972322)------------------------------
% 0.18/0.53 % (1972322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.53 % (1972322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.53 % (1972322)CaDiCaL version: 2.1.3
% 0.18/0.53 % (1972322)Termination reason: Refutation
% 0.18/0.53 % (1972322)Time elapsed: 0.027 s
% 0.18/0.53 % (1972322)Peak memory usage: 13 MB
% 0.18/0.53 % (1972322)Instructions burned: 95 (million)
% 0.18/0.53 % (1972313)Success in time 0.07 s
% 0.18/0.53 % Vampire exiting
%------------------------------------------------------------------------------