TSTP Solution File: NUM377+1.010 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM377+1.010 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:04:40 EDT 2022
% Result : Unsatisfiable 3.80s 1.02s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 34
% Syntax : Number of formulae : 2530 ( 164 unt; 0 def)
% Number of atoms : 8710 (3775 equ)
% Maximal formula atoms : 500 ( 3 avg)
% Number of connectives : 11051 (4871 ~;4827 |;1320 &)
% ( 32 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 245 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 34 ( 32 usr; 33 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 33 con; 0-2 aty)
% Number of variables : 88 ( 0 !; 88 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6721,plain,
$false,
inference(avatar_sat_refutation,[],[f271,f316,f357,f1905,f2050,f2070,f2082,f2172,f2191,f2233,f2260,f2283,f2335,f2377,f2401,f2444,f2465,f2493,f2520,f2543,f2548,f2723,f2827,f2846,f3001,f3036,f3057,f3078,f3124,f3168,f3189,f3213,f3232,f3256,f3286,f3319,f3344,f3374,f3392,f3434,f3445,f3468,f3501,f3533,f3543,f3563,f3612,f3633,f3672,f3696,f3724,f3768,f3793,f3842,f3868,f3897,f3939,f3950,f3979,f4003,f4026,f4048,f4084,f4109,f4141,f4152,f4184,f4224,f4253,f4282,f4318,f4329,f4351,f4381,f4409,f4438,f4491,f4527,f4557,f4590,f4623,f4633,f4677,f4697,f4733,f4767,f4803,f4834,f4859,f4904,f4940,f4962,f5014,f5061,f5087,f5113,f5159,f5191,f5224,f5259,f5272,f5294,f5328,f5354,f5382,f5412,f5455,f5506,f5529,f5568,f5600,f5630,f5655,f5680,f5721,f5750,f5776,f5804,f5830,f5861,f5895,f5930,f5958,f5999,f6033,f6061,f6092,f6127,f6164,f6197,f6262,f6310,f6329,f6369,f6421,f6435,f6466,f6518,f6551,f6582,f6615,f6645,f6672,f6720]) ).
fof(f6720,plain,
( ~ spl22_3
| ~ spl22_18
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6719]) ).
fof(f6719,plain,
( $false
| ~ spl22_3
| ~ spl22_18
| spl22_31 ),
inference(subsumption_resolution,[],[f6718,f6682]) ).
fof(f6682,plain,
( n3 = sK5
| ~ spl22_3
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6681,f90]) ).
fof(f90,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5,plain,
( n9 = sum(n6,n3)
& n10 = pred(n0)
& ( n3 = sK9
| n7 = sK9
| n5 = sK9
| n8 = sK9
| n2 = sK9
| n9 = sK9
| n4 = sK9
| n6 = sK9
| n1 = sK9
| n0 = sK9
| n10 = sK9 )
& n7 = sum(n3,n4)
& n5 = sum(n4,n1)
& n4 = sum(n10,n5)
& n5 != n10
& n0 = sum(n0,n0)
& n3 != n10
& n0 != n4
& n3 = sum(n7,n7)
& n2 = sum(n10,n3)
& n6 = sum(n10,n7)
& n6 = sum(n6,n0)
& n10 = sum(n7,n3)
& n5 = pred(n6)
& n3 = sum(n8,n6)
& n3 = pred(n4)
& succ(n4) = n5
& n5 = sum(n3,n2)
& n7 = sum(n10,n8)
& n0 = sum(n2,n9)
& n5 = sum(n7,n9)
& n3 != n4
& n0 = sum(n7,n4)
& sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(sK9),succ(sK9)))
& n7 != n10
& n4 != n8
& n7 = sum(n6,n1)
& n2 = sum(n1,n1)
& n6 != n10
& n1 != n6
& n6 != n8
& n3 != n7
& n2 != n9
& n5 != n6
& n4 != n10
& ( sK15 != sK2
| sK13 != sK14
| sK17 != sK7
| sK11 != sK4
| sK8 != sK3
| sK16 != sK0
| sK20 != sK10
| sK5 != sK21
| sK6 != sK18
| sK12 != sK19 )
& succ(n7) = n8
& n3 = sum(n3,n0)
& n4 != n6
& n10 = sum(n9,n1)
& n2 = sum(n2,n0)
& n8 = sum(n8,n0)
& n0 = sum(n9,n2)
& n9 = sum(n5,n4)
& n9 = sum(n1,n8)
& n1 = sum(n8,n4)
& n8 != n10
& n7 != n9
& n3 = sum(n10,n4)
& sum(sum(pred(sK6),succ(sK18)),sum(pred(sK18),succ(sK6))) = sK3
& n10 = sum(n5,n5)
& n2 = sum(n8,n5)
& n2 = sum(n3,n10)
& n10 = sum(n2,n8)
& n2 != n8
& n2 = sum(n9,n4)
& n0 != n1
& n3 = sum(n4,n10)
& n1 != n10
& sK0 = sum(sum(pred(sK11),succ(sK11)),sum(pred(sK4),succ(sK4)))
& n0 = sum(n1,n10)
& n1 = sum(n10,n2)
& n8 = sum(n1,n7)
& sum(sum(pred(sK15),succ(sK15)),sum(pred(sK2),succ(sK2))) = sK18
& n1 != n9
& n8 != n9
& n5 != n7
& n6 = sum(n3,n3)
& n6 = sum(n5,n1)
& n1 = sum(n9,n3)
& n10 = sum(n10,n0)
& sum(sum(pred(sK1),succ(sK9)),sum(pred(sK9),succ(sK1))) = sK21
& n2 != n4
& n1 = sum(n5,n7)
& n7 != n8
& n3 = sum(n1,n2)
& n2 = sum(n0,n2)
& n1 != n3
& n6 != n7
& n6 = sum(n4,n2)
& n0 != n10
& n1 != n8
& n4 = sum(n2,n2)
& sum(sum(pred(sK20),succ(sK20)),sum(pred(sK10),succ(sK10))) = sK2
& n6 = sum(n8,n9)
& sK11 = sum(sum(pred(sK19),succ(sK12)),sum(pred(sK12),succ(sK19)))
& n0 = sum(n3,n8)
& n4 = sum(n9,n6)
& sK4 = sum(sum(pred(sK19),succ(sK19)),sum(pred(sK12),succ(sK12)))
& sum(sum(pred(sK21),succ(sK21)),sum(pred(sK5),succ(sK5))) = sK12
& n8 = sum(n10,n9)
& n0 = sum(n5,n6)
& n10 = sum(n4,n6)
& n5 != n9
& succ(n2) = n3
& n7 = sum(n7,n0)
& sK14 = sum(sum(pred(sK3),succ(sK8)),sum(pred(sK8),succ(sK3)))
& n2 = sum(n4,n9)
& n5 = sum(n1,n4)
& n1 = sum(n4,n8)
& n6 = sum(n7,n10)
& n0 != n2
& n8 = sum(n0,n8)
& n1 != n2
& n4 = sum(n1,n3)
& succ(n6) = n7
& sK17 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK0),succ(sK0)))
& n9 = sum(n7,n2)
& sK15 = sum(sum(pred(sK20),succ(sK10)),sum(pred(sK10),succ(sK20)))
& n3 = sum(n5,n9)
& succ(n9) = n10
& n3 != n5
& sum(sum(pred(sK7),succ(sK7)),sum(pred(sK17),succ(sK17))) = sK10
& n1 = sum(n1,n0)
& n2 = sum(n6,n7)
& n9 = sum(n4,n5)
& n6 = sum(n1,n5)
& n0 = sum(n10,n1)
& succ(n1) = n2
& n9 != n10
& n6 = sum(n0,n6)
& n8 = sum(n7,n1)
& ( n9 = sK1
| n10 = sK1
| n3 = sK1
| n4 = sK1
| n2 = sK1
| n7 = sK1
| n1 = sK1
| n6 = sK1
| n5 = sK1
| n8 = sK1
| n0 = sK1 )
& n5 = sum(n5,n0)
& succ(n3) = n4
& n8 = sum(n4,n4)
& n2 = sum(n7,n6)
& n4 = sum(n6,n9)
& n4 = sum(n4,n0)
& n0 = succ(n10)
& n3 != n6
& n7 = sum(n0,n7)
& n1 != n5
& n8 = pred(n9)
& n3 = sum(n0,n3)
& n10 = sum(n8,n2)
& n0 != n5
& n8 = sum(n9,n10)
& n9 = pred(n10)
& n0 != n8
& sum(sum(pred(sK15),succ(sK2)),sum(pred(sK2),succ(sK15))) = sK6
& n1 = sum(n3,n9)
& n4 = sum(n8,n7)
& n4 != n5
& n1 != n7
& n8 = sum(n3,n5)
& succ(n0) = n1
& n5 = sum(n0,n5)
& n0 != n6
& n0 = sum(n4,n7)
& n4 = sum(n7,n8)
& n4 = pred(n5)
& n9 = sum(n3,n6)
& n10 = sum(n0,n10)
& n2 = pred(n3)
& n9 = sum(n8,n1)
& n10 = sum(n3,n7)
& n9 = sum(n10,n10)
& n5 = sum(n10,n6)
& n1 = sum(n2,n10)
& n7 = sum(n9,n9)
& n9 = sum(n9,n0)
& n3 = sum(n6,n8)
& n5 = sum(n2,n3)
& n7 = pred(n8)
& sK20 = sum(sum(pred(sK7),succ(sK17)),sum(pred(sK17),succ(sK7)))
& n10 = sum(n1,n9)
& n7 = sum(n1,n6)
& n1 = pred(n2)
& n3 != n9
& n2 != n10
& n3 = sum(n2,n1)
& n6 = sum(n2,n4)
& n7 = sum(n2,n5)
& n0 != n7
& n3 != n8
& n0 != n3
& n0 != n9
& n6 = sum(n9,n8)
& n2 = sum(n5,n8)
& succ(n5) = n6
& n4 != n7
& n0 = sum(n8,n3)
& n8 = sum(n2,n6)
& succ(n8) = n9
& n5 != n8
& n4 = sum(n0,n4)
& n1 = sum(n7,n5)
& n10 = sum(n6,n4)
& n2 != n3
& n8 = sum(n6,n2)
& sK13 = sum(sum(pred(sK3),succ(sK3)),sum(pred(sK8),succ(sK8)))
& sum(sum(pred(sK6),succ(sK6)),sum(pred(sK18),succ(sK18))) = sK8
& n6 != n9
& sK19 = sum(sum(pred(sK21),succ(sK5)),sum(pred(sK5),succ(sK21)))
& n4 = sum(n3,n1)
& sK16 = sum(sum(pred(sK11),succ(sK4)),sum(pred(sK4),succ(sK11)))
& n2 != n7
& n5 = sum(n8,n8)
& n5 = sum(n9,n7)
& n7 = sum(n8,n10)
& n2 != n6
& sum(sum(pred(sK16),succ(sK0)),sum(pred(sK0),succ(sK16))) = sK7
& n1 = sum(n0,n1)
& n6 = pred(n7)
& n2 != n5
& n0 = sum(n6,n5)
& n7 = sum(n5,n2)
& n5 = sum(n6,n10)
& n3 = sum(n9,n5)
& n9 = sum(n2,n7)
& n0 = pred(n1)
& n9 = sum(n0,n9)
& n1 = sum(n6,n6)
& n8 = sum(n5,n3)
& n4 = sum(n5,n10)
& n1 != n4
& n4 != n9
& n7 = sum(n4,n3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21])],[f3,f4]) ).
fof(f4,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( n9 = sum(n6,n3)
& n10 = pred(n0)
& ( n3 = X9
| n7 = X9
| n5 = X9
| n8 = X9
| n2 = X9
| n9 = X9
| n4 = X9
| n6 = X9
| n1 = X9
| n0 = X9
| n10 = X9 )
& n7 = sum(n3,n4)
& n5 = sum(n4,n1)
& n4 = sum(n10,n5)
& n5 != n10
& n0 = sum(n0,n0)
& n3 != n10
& n0 != n4
& n3 = sum(n7,n7)
& n2 = sum(n10,n3)
& n6 = sum(n10,n7)
& n6 = sum(n6,n0)
& n10 = sum(n7,n3)
& n5 = pred(n6)
& n3 = sum(n8,n6)
& n3 = pred(n4)
& succ(n4) = n5
& n5 = sum(n3,n2)
& n7 = sum(n10,n8)
& n0 = sum(n2,n9)
& n5 = sum(n7,n9)
& n3 != n4
& n0 = sum(n7,n4)
& sum(sum(pred(X1),succ(X1)),sum(pred(X9),succ(X9))) = X5
& n7 != n10
& n4 != n8
& n7 = sum(n6,n1)
& n2 = sum(n1,n1)
& n6 != n10
& n1 != n6
& n6 != n8
& n3 != n7
& n2 != n9
& n5 != n6
& n4 != n10
& ( X2 != X15
| X13 != X14
| X7 != X17
| X4 != X11
| X3 != X8
| X0 != X16
| X10 != X20
| X5 != X21
| X6 != X18
| X12 != X19 )
& succ(n7) = n8
& n3 = sum(n3,n0)
& n4 != n6
& n10 = sum(n9,n1)
& n2 = sum(n2,n0)
& n8 = sum(n8,n0)
& n0 = sum(n9,n2)
& n9 = sum(n5,n4)
& n9 = sum(n1,n8)
& n1 = sum(n8,n4)
& n8 != n10
& n7 != n9
& n3 = sum(n10,n4)
& sum(sum(pred(X6),succ(X18)),sum(pred(X18),succ(X6))) = X3
& n10 = sum(n5,n5)
& n2 = sum(n8,n5)
& n2 = sum(n3,n10)
& n10 = sum(n2,n8)
& n2 != n8
& n2 = sum(n9,n4)
& n0 != n1
& n3 = sum(n4,n10)
& n1 != n10
& sum(sum(pred(X11),succ(X11)),sum(pred(X4),succ(X4))) = X0
& n0 = sum(n1,n10)
& n1 = sum(n10,n2)
& n8 = sum(n1,n7)
& sum(sum(pred(X15),succ(X15)),sum(pred(X2),succ(X2))) = X18
& n1 != n9
& n8 != n9
& n5 != n7
& n6 = sum(n3,n3)
& n6 = sum(n5,n1)
& n1 = sum(n9,n3)
& n10 = sum(n10,n0)
& sum(sum(pred(X1),succ(X9)),sum(pred(X9),succ(X1))) = X21
& n2 != n4
& n1 = sum(n5,n7)
& n7 != n8
& n3 = sum(n1,n2)
& n2 = sum(n0,n2)
& n1 != n3
& n6 != n7
& n6 = sum(n4,n2)
& n0 != n10
& n1 != n8
& n4 = sum(n2,n2)
& sum(sum(pred(X20),succ(X20)),sum(pred(X10),succ(X10))) = X2
& n6 = sum(n8,n9)
& sum(sum(pred(X19),succ(X12)),sum(pred(X12),succ(X19))) = X11
& n0 = sum(n3,n8)
& n4 = sum(n9,n6)
& sum(sum(pred(X19),succ(X19)),sum(pred(X12),succ(X12))) = X4
& sum(sum(pred(X21),succ(X21)),sum(pred(X5),succ(X5))) = X12
& n8 = sum(n10,n9)
& n0 = sum(n5,n6)
& n10 = sum(n4,n6)
& n5 != n9
& succ(n2) = n3
& n7 = sum(n7,n0)
& sum(sum(pred(X3),succ(X8)),sum(pred(X8),succ(X3))) = X14
& n2 = sum(n4,n9)
& n5 = sum(n1,n4)
& n1 = sum(n4,n8)
& n6 = sum(n7,n10)
& n0 != n2
& n8 = sum(n0,n8)
& n1 != n2
& n4 = sum(n1,n3)
& succ(n6) = n7
& sum(sum(pred(X16),succ(X16)),sum(pred(X0),succ(X0))) = X17
& n9 = sum(n7,n2)
& sum(sum(pred(X20),succ(X10)),sum(pred(X10),succ(X20))) = X15
& n3 = sum(n5,n9)
& succ(n9) = n10
& n3 != n5
& sum(sum(pred(X7),succ(X7)),sum(pred(X17),succ(X17))) = X10
& n1 = sum(n1,n0)
& n2 = sum(n6,n7)
& n9 = sum(n4,n5)
& n6 = sum(n1,n5)
& n0 = sum(n10,n1)
& succ(n1) = n2
& n9 != n10
& n6 = sum(n0,n6)
& n8 = sum(n7,n1)
& ( n9 = X1
| n10 = X1
| n3 = X1
| n4 = X1
| n2 = X1
| n7 = X1
| n1 = X1
| n6 = X1
| n5 = X1
| n8 = X1
| n0 = X1 )
& n5 = sum(n5,n0)
& succ(n3) = n4
& n8 = sum(n4,n4)
& n2 = sum(n7,n6)
& n4 = sum(n6,n9)
& n4 = sum(n4,n0)
& n0 = succ(n10)
& n3 != n6
& n7 = sum(n0,n7)
& n1 != n5
& n8 = pred(n9)
& n3 = sum(n0,n3)
& n10 = sum(n8,n2)
& n0 != n5
& n8 = sum(n9,n10)
& n9 = pred(n10)
& n0 != n8
& sum(sum(pred(X15),succ(X2)),sum(pred(X2),succ(X15))) = X6
& n1 = sum(n3,n9)
& n4 = sum(n8,n7)
& n4 != n5
& n1 != n7
& n8 = sum(n3,n5)
& succ(n0) = n1
& n5 = sum(n0,n5)
& n0 != n6
& n0 = sum(n4,n7)
& n4 = sum(n7,n8)
& n4 = pred(n5)
& n9 = sum(n3,n6)
& n10 = sum(n0,n10)
& n2 = pred(n3)
& n9 = sum(n8,n1)
& n10 = sum(n3,n7)
& n9 = sum(n10,n10)
& n5 = sum(n10,n6)
& n1 = sum(n2,n10)
& n7 = sum(n9,n9)
& n9 = sum(n9,n0)
& n3 = sum(n6,n8)
& n5 = sum(n2,n3)
& n7 = pred(n8)
& sum(sum(pred(X7),succ(X17)),sum(pred(X17),succ(X7))) = X20
& n10 = sum(n1,n9)
& n7 = sum(n1,n6)
& n1 = pred(n2)
& n3 != n9
& n2 != n10
& n3 = sum(n2,n1)
& n6 = sum(n2,n4)
& n7 = sum(n2,n5)
& n0 != n7
& n3 != n8
& n0 != n3
& n0 != n9
& n6 = sum(n9,n8)
& n2 = sum(n5,n8)
& succ(n5) = n6
& n4 != n7
& n0 = sum(n8,n3)
& n8 = sum(n2,n6)
& succ(n8) = n9
& n5 != n8
& n4 = sum(n0,n4)
& n1 = sum(n7,n5)
& n10 = sum(n6,n4)
& n2 != n3
& n8 = sum(n6,n2)
& sum(sum(pred(X3),succ(X3)),sum(pred(X8),succ(X8))) = X13
& sum(sum(pred(X6),succ(X6)),sum(pred(X18),succ(X18))) = X8
& n6 != n9
& sum(sum(pred(X21),succ(X5)),sum(pred(X5),succ(X21))) = X19
& n4 = sum(n3,n1)
& sum(sum(pred(X11),succ(X4)),sum(pred(X4),succ(X11))) = X16
& n2 != n7
& n5 = sum(n8,n8)
& n5 = sum(n9,n7)
& n7 = sum(n8,n10)
& n2 != n6
& sum(sum(pred(X16),succ(X0)),sum(pred(X0),succ(X16))) = X7
& n1 = sum(n0,n1)
& n6 = pred(n7)
& n2 != n5
& n0 = sum(n6,n5)
& n7 = sum(n5,n2)
& n5 = sum(n6,n10)
& n3 = sum(n9,n5)
& n9 = sum(n2,n7)
& n0 = pred(n1)
& n9 = sum(n0,n9)
& n1 = sum(n6,n6)
& n8 = sum(n5,n3)
& n4 = sum(n5,n10)
& n1 != n4
& n4 != n9
& n7 = sum(n4,n3) )
=> ( n9 = sum(n6,n3)
& n10 = pred(n0)
& ( n3 = sK9
| n7 = sK9
| n5 = sK9
| n8 = sK9
| n2 = sK9
| n9 = sK9
| n4 = sK9
| n6 = sK9
| n1 = sK9
| n0 = sK9
| n10 = sK9 )
& n7 = sum(n3,n4)
& n5 = sum(n4,n1)
& n4 = sum(n10,n5)
& n5 != n10
& n0 = sum(n0,n0)
& n3 != n10
& n0 != n4
& n3 = sum(n7,n7)
& n2 = sum(n10,n3)
& n6 = sum(n10,n7)
& n6 = sum(n6,n0)
& n10 = sum(n7,n3)
& n5 = pred(n6)
& n3 = sum(n8,n6)
& n3 = pred(n4)
& succ(n4) = n5
& n5 = sum(n3,n2)
& n7 = sum(n10,n8)
& n0 = sum(n2,n9)
& n5 = sum(n7,n9)
& n3 != n4
& n0 = sum(n7,n4)
& sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(sK9),succ(sK9)))
& n7 != n10
& n4 != n8
& n7 = sum(n6,n1)
& n2 = sum(n1,n1)
& n6 != n10
& n1 != n6
& n6 != n8
& n3 != n7
& n2 != n9
& n5 != n6
& n4 != n10
& ( sK15 != sK2
| sK13 != sK14
| sK17 != sK7
| sK11 != sK4
| sK8 != sK3
| sK16 != sK0
| sK20 != sK10
| sK5 != sK21
| sK6 != sK18
| sK12 != sK19 )
& succ(n7) = n8
& n3 = sum(n3,n0)
& n4 != n6
& n10 = sum(n9,n1)
& n2 = sum(n2,n0)
& n8 = sum(n8,n0)
& n0 = sum(n9,n2)
& n9 = sum(n5,n4)
& n9 = sum(n1,n8)
& n1 = sum(n8,n4)
& n8 != n10
& n7 != n9
& n3 = sum(n10,n4)
& sum(sum(pred(sK6),succ(sK18)),sum(pred(sK18),succ(sK6))) = sK3
& n10 = sum(n5,n5)
& n2 = sum(n8,n5)
& n2 = sum(n3,n10)
& n10 = sum(n2,n8)
& n2 != n8
& n2 = sum(n9,n4)
& n0 != n1
& n3 = sum(n4,n10)
& n1 != n10
& sK0 = sum(sum(pred(sK11),succ(sK11)),sum(pred(sK4),succ(sK4)))
& n0 = sum(n1,n10)
& n1 = sum(n10,n2)
& n8 = sum(n1,n7)
& sum(sum(pred(sK15),succ(sK15)),sum(pred(sK2),succ(sK2))) = sK18
& n1 != n9
& n8 != n9
& n5 != n7
& n6 = sum(n3,n3)
& n6 = sum(n5,n1)
& n1 = sum(n9,n3)
& n10 = sum(n10,n0)
& sum(sum(pred(sK1),succ(sK9)),sum(pred(sK9),succ(sK1))) = sK21
& n2 != n4
& n1 = sum(n5,n7)
& n7 != n8
& n3 = sum(n1,n2)
& n2 = sum(n0,n2)
& n1 != n3
& n6 != n7
& n6 = sum(n4,n2)
& n0 != n10
& n1 != n8
& n4 = sum(n2,n2)
& sum(sum(pred(sK20),succ(sK20)),sum(pred(sK10),succ(sK10))) = sK2
& n6 = sum(n8,n9)
& sK11 = sum(sum(pred(sK19),succ(sK12)),sum(pred(sK12),succ(sK19)))
& n0 = sum(n3,n8)
& n4 = sum(n9,n6)
& sK4 = sum(sum(pred(sK19),succ(sK19)),sum(pred(sK12),succ(sK12)))
& sum(sum(pred(sK21),succ(sK21)),sum(pred(sK5),succ(sK5))) = sK12
& n8 = sum(n10,n9)
& n0 = sum(n5,n6)
& n10 = sum(n4,n6)
& n5 != n9
& succ(n2) = n3
& n7 = sum(n7,n0)
& sK14 = sum(sum(pred(sK3),succ(sK8)),sum(pred(sK8),succ(sK3)))
& n2 = sum(n4,n9)
& n5 = sum(n1,n4)
& n1 = sum(n4,n8)
& n6 = sum(n7,n10)
& n0 != n2
& n8 = sum(n0,n8)
& n1 != n2
& n4 = sum(n1,n3)
& succ(n6) = n7
& sK17 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK0),succ(sK0)))
& n9 = sum(n7,n2)
& sK15 = sum(sum(pred(sK20),succ(sK10)),sum(pred(sK10),succ(sK20)))
& n3 = sum(n5,n9)
& succ(n9) = n10
& n3 != n5
& sum(sum(pred(sK7),succ(sK7)),sum(pred(sK17),succ(sK17))) = sK10
& n1 = sum(n1,n0)
& n2 = sum(n6,n7)
& n9 = sum(n4,n5)
& n6 = sum(n1,n5)
& n0 = sum(n10,n1)
& succ(n1) = n2
& n9 != n10
& n6 = sum(n0,n6)
& n8 = sum(n7,n1)
& ( n9 = sK1
| n10 = sK1
| n3 = sK1
| n4 = sK1
| n2 = sK1
| n7 = sK1
| n1 = sK1
| n6 = sK1
| n5 = sK1
| n8 = sK1
| n0 = sK1 )
& n5 = sum(n5,n0)
& succ(n3) = n4
& n8 = sum(n4,n4)
& n2 = sum(n7,n6)
& n4 = sum(n6,n9)
& n4 = sum(n4,n0)
& n0 = succ(n10)
& n3 != n6
& n7 = sum(n0,n7)
& n1 != n5
& n8 = pred(n9)
& n3 = sum(n0,n3)
& n10 = sum(n8,n2)
& n0 != n5
& n8 = sum(n9,n10)
& n9 = pred(n10)
& n0 != n8
& sum(sum(pred(sK15),succ(sK2)),sum(pred(sK2),succ(sK15))) = sK6
& n1 = sum(n3,n9)
& n4 = sum(n8,n7)
& n4 != n5
& n1 != n7
& n8 = sum(n3,n5)
& succ(n0) = n1
& n5 = sum(n0,n5)
& n0 != n6
& n0 = sum(n4,n7)
& n4 = sum(n7,n8)
& n4 = pred(n5)
& n9 = sum(n3,n6)
& n10 = sum(n0,n10)
& n2 = pred(n3)
& n9 = sum(n8,n1)
& n10 = sum(n3,n7)
& n9 = sum(n10,n10)
& n5 = sum(n10,n6)
& n1 = sum(n2,n10)
& n7 = sum(n9,n9)
& n9 = sum(n9,n0)
& n3 = sum(n6,n8)
& n5 = sum(n2,n3)
& n7 = pred(n8)
& sK20 = sum(sum(pred(sK7),succ(sK17)),sum(pred(sK17),succ(sK7)))
& n10 = sum(n1,n9)
& n7 = sum(n1,n6)
& n1 = pred(n2)
& n3 != n9
& n2 != n10
& n3 = sum(n2,n1)
& n6 = sum(n2,n4)
& n7 = sum(n2,n5)
& n0 != n7
& n3 != n8
& n0 != n3
& n0 != n9
& n6 = sum(n9,n8)
& n2 = sum(n5,n8)
& succ(n5) = n6
& n4 != n7
& n0 = sum(n8,n3)
& n8 = sum(n2,n6)
& succ(n8) = n9
& n5 != n8
& n4 = sum(n0,n4)
& n1 = sum(n7,n5)
& n10 = sum(n6,n4)
& n2 != n3
& n8 = sum(n6,n2)
& sK13 = sum(sum(pred(sK3),succ(sK3)),sum(pred(sK8),succ(sK8)))
& sum(sum(pred(sK6),succ(sK6)),sum(pred(sK18),succ(sK18))) = sK8
& n6 != n9
& sK19 = sum(sum(pred(sK21),succ(sK5)),sum(pred(sK5),succ(sK21)))
& n4 = sum(n3,n1)
& sK16 = sum(sum(pred(sK11),succ(sK4)),sum(pred(sK4),succ(sK11)))
& n2 != n7
& n5 = sum(n8,n8)
& n5 = sum(n9,n7)
& n7 = sum(n8,n10)
& n2 != n6
& sum(sum(pred(sK16),succ(sK0)),sum(pred(sK0),succ(sK16))) = sK7
& n1 = sum(n0,n1)
& n6 = pred(n7)
& n2 != n5
& n0 = sum(n6,n5)
& n7 = sum(n5,n2)
& n5 = sum(n6,n10)
& n3 = sum(n9,n5)
& n9 = sum(n2,n7)
& n0 = pred(n1)
& n9 = sum(n0,n9)
& n1 = sum(n6,n6)
& n8 = sum(n5,n3)
& n4 = sum(n5,n10)
& n1 != n4
& n4 != n9
& n7 = sum(n4,n3) ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( n9 = sum(n6,n3)
& n10 = pred(n0)
& ( n3 = X9
| n7 = X9
| n5 = X9
| n8 = X9
| n2 = X9
| n9 = X9
| n4 = X9
| n6 = X9
| n1 = X9
| n0 = X9
| n10 = X9 )
& n7 = sum(n3,n4)
& n5 = sum(n4,n1)
& n4 = sum(n10,n5)
& n5 != n10
& n0 = sum(n0,n0)
& n3 != n10
& n0 != n4
& n3 = sum(n7,n7)
& n2 = sum(n10,n3)
& n6 = sum(n10,n7)
& n6 = sum(n6,n0)
& n10 = sum(n7,n3)
& n5 = pred(n6)
& n3 = sum(n8,n6)
& n3 = pred(n4)
& succ(n4) = n5
& n5 = sum(n3,n2)
& n7 = sum(n10,n8)
& n0 = sum(n2,n9)
& n5 = sum(n7,n9)
& n3 != n4
& n0 = sum(n7,n4)
& sum(sum(pred(X1),succ(X1)),sum(pred(X9),succ(X9))) = X5
& n7 != n10
& n4 != n8
& n7 = sum(n6,n1)
& n2 = sum(n1,n1)
& n6 != n10
& n1 != n6
& n6 != n8
& n3 != n7
& n2 != n9
& n5 != n6
& n4 != n10
& ( X2 != X15
| X13 != X14
| X7 != X17
| X4 != X11
| X3 != X8
| X0 != X16
| X10 != X20
| X5 != X21
| X6 != X18
| X12 != X19 )
& succ(n7) = n8
& n3 = sum(n3,n0)
& n4 != n6
& n10 = sum(n9,n1)
& n2 = sum(n2,n0)
& n8 = sum(n8,n0)
& n0 = sum(n9,n2)
& n9 = sum(n5,n4)
& n9 = sum(n1,n8)
& n1 = sum(n8,n4)
& n8 != n10
& n7 != n9
& n3 = sum(n10,n4)
& sum(sum(pred(X6),succ(X18)),sum(pred(X18),succ(X6))) = X3
& n10 = sum(n5,n5)
& n2 = sum(n8,n5)
& n2 = sum(n3,n10)
& n10 = sum(n2,n8)
& n2 != n8
& n2 = sum(n9,n4)
& n0 != n1
& n3 = sum(n4,n10)
& n1 != n10
& sum(sum(pred(X11),succ(X11)),sum(pred(X4),succ(X4))) = X0
& n0 = sum(n1,n10)
& n1 = sum(n10,n2)
& n8 = sum(n1,n7)
& sum(sum(pred(X15),succ(X15)),sum(pred(X2),succ(X2))) = X18
& n1 != n9
& n8 != n9
& n5 != n7
& n6 = sum(n3,n3)
& n6 = sum(n5,n1)
& n1 = sum(n9,n3)
& n10 = sum(n10,n0)
& sum(sum(pred(X1),succ(X9)),sum(pred(X9),succ(X1))) = X21
& n2 != n4
& n1 = sum(n5,n7)
& n7 != n8
& n3 = sum(n1,n2)
& n2 = sum(n0,n2)
& n1 != n3
& n6 != n7
& n6 = sum(n4,n2)
& n0 != n10
& n1 != n8
& n4 = sum(n2,n2)
& sum(sum(pred(X20),succ(X20)),sum(pred(X10),succ(X10))) = X2
& n6 = sum(n8,n9)
& sum(sum(pred(X19),succ(X12)),sum(pred(X12),succ(X19))) = X11
& n0 = sum(n3,n8)
& n4 = sum(n9,n6)
& sum(sum(pred(X19),succ(X19)),sum(pred(X12),succ(X12))) = X4
& sum(sum(pred(X21),succ(X21)),sum(pred(X5),succ(X5))) = X12
& n8 = sum(n10,n9)
& n0 = sum(n5,n6)
& n10 = sum(n4,n6)
& n5 != n9
& succ(n2) = n3
& n7 = sum(n7,n0)
& sum(sum(pred(X3),succ(X8)),sum(pred(X8),succ(X3))) = X14
& n2 = sum(n4,n9)
& n5 = sum(n1,n4)
& n1 = sum(n4,n8)
& n6 = sum(n7,n10)
& n0 != n2
& n8 = sum(n0,n8)
& n1 != n2
& n4 = sum(n1,n3)
& succ(n6) = n7
& sum(sum(pred(X16),succ(X16)),sum(pred(X0),succ(X0))) = X17
& n9 = sum(n7,n2)
& sum(sum(pred(X20),succ(X10)),sum(pred(X10),succ(X20))) = X15
& n3 = sum(n5,n9)
& succ(n9) = n10
& n3 != n5
& sum(sum(pred(X7),succ(X7)),sum(pred(X17),succ(X17))) = X10
& n1 = sum(n1,n0)
& n2 = sum(n6,n7)
& n9 = sum(n4,n5)
& n6 = sum(n1,n5)
& n0 = sum(n10,n1)
& succ(n1) = n2
& n9 != n10
& n6 = sum(n0,n6)
& n8 = sum(n7,n1)
& ( n9 = X1
| n10 = X1
| n3 = X1
| n4 = X1
| n2 = X1
| n7 = X1
| n1 = X1
| n6 = X1
| n5 = X1
| n8 = X1
| n0 = X1 )
& n5 = sum(n5,n0)
& succ(n3) = n4
& n8 = sum(n4,n4)
& n2 = sum(n7,n6)
& n4 = sum(n6,n9)
& n4 = sum(n4,n0)
& n0 = succ(n10)
& n3 != n6
& n7 = sum(n0,n7)
& n1 != n5
& n8 = pred(n9)
& n3 = sum(n0,n3)
& n10 = sum(n8,n2)
& n0 != n5
& n8 = sum(n9,n10)
& n9 = pred(n10)
& n0 != n8
& sum(sum(pred(X15),succ(X2)),sum(pred(X2),succ(X15))) = X6
& n1 = sum(n3,n9)
& n4 = sum(n8,n7)
& n4 != n5
& n1 != n7
& n8 = sum(n3,n5)
& succ(n0) = n1
& n5 = sum(n0,n5)
& n0 != n6
& n0 = sum(n4,n7)
& n4 = sum(n7,n8)
& n4 = pred(n5)
& n9 = sum(n3,n6)
& n10 = sum(n0,n10)
& n2 = pred(n3)
& n9 = sum(n8,n1)
& n10 = sum(n3,n7)
& n9 = sum(n10,n10)
& n5 = sum(n10,n6)
& n1 = sum(n2,n10)
& n7 = sum(n9,n9)
& n9 = sum(n9,n0)
& n3 = sum(n6,n8)
& n5 = sum(n2,n3)
& n7 = pred(n8)
& sum(sum(pred(X7),succ(X17)),sum(pred(X17),succ(X7))) = X20
& n10 = sum(n1,n9)
& n7 = sum(n1,n6)
& n1 = pred(n2)
& n3 != n9
& n2 != n10
& n3 = sum(n2,n1)
& n6 = sum(n2,n4)
& n7 = sum(n2,n5)
& n0 != n7
& n3 != n8
& n0 != n3
& n0 != n9
& n6 = sum(n9,n8)
& n2 = sum(n5,n8)
& succ(n5) = n6
& n4 != n7
& n0 = sum(n8,n3)
& n8 = sum(n2,n6)
& succ(n8) = n9
& n5 != n8
& n4 = sum(n0,n4)
& n1 = sum(n7,n5)
& n10 = sum(n6,n4)
& n2 != n3
& n8 = sum(n6,n2)
& sum(sum(pred(X3),succ(X3)),sum(pred(X8),succ(X8))) = X13
& sum(sum(pred(X6),succ(X6)),sum(pred(X18),succ(X18))) = X8
& n6 != n9
& sum(sum(pred(X21),succ(X5)),sum(pred(X5),succ(X21))) = X19
& n4 = sum(n3,n1)
& sum(sum(pred(X11),succ(X4)),sum(pred(X4),succ(X11))) = X16
& n2 != n7
& n5 = sum(n8,n8)
& n5 = sum(n9,n7)
& n7 = sum(n8,n10)
& n2 != n6
& sum(sum(pred(X16),succ(X0)),sum(pred(X0),succ(X16))) = X7
& n1 = sum(n0,n1)
& n6 = pred(n7)
& n2 != n5
& n0 = sum(n6,n5)
& n7 = sum(n5,n2)
& n5 = sum(n6,n10)
& n3 = sum(n9,n5)
& n9 = sum(n2,n7)
& n0 = pred(n1)
& n9 = sum(n0,n9)
& n1 = sum(n6,n6)
& n8 = sum(n5,n3)
& n4 = sum(n5,n10)
& n1 != n4
& n4 != n9
& n7 = sum(n4,n3) ),
inference(rectify,[],[f2]) ).
fof(f2,plain,
? [X3,X10,X4,X6,X2,X1,X7,X0,X18,X5,X14,X8,X19,X20,X16,X12,X13,X11,X21,X9,X17,X15] :
( n9 = sum(n6,n3)
& n10 = pred(n0)
& ( n3 = X5
| n7 = X5
| n5 = X5
| n8 = X5
| n2 = X5
| n9 = X5
| n4 = X5
| n6 = X5
| n1 = X5
| n0 = X5
| n10 = X5 )
& n7 = sum(n3,n4)
& n5 = sum(n4,n1)
& n4 = sum(n10,n5)
& n5 != n10
& n0 = sum(n0,n0)
& n3 != n10
& n0 != n4
& n3 = sum(n7,n7)
& n2 = sum(n10,n3)
& n6 = sum(n10,n7)
& n6 = sum(n6,n0)
& n10 = sum(n7,n3)
& n5 = pred(n6)
& n3 = sum(n8,n6)
& n3 = pred(n4)
& succ(n4) = n5
& n5 = sum(n3,n2)
& n7 = sum(n10,n8)
& n0 = sum(n2,n9)
& n5 = sum(n7,n9)
& n3 != n4
& n0 = sum(n7,n4)
& sum(sum(pred(X10),succ(X10)),sum(pred(X5),succ(X5))) = X1
& n7 != n10
& n4 != n8
& n7 = sum(n6,n1)
& n2 = sum(n1,n1)
& n6 != n10
& n1 != n6
& n6 != n8
& n3 != n7
& n2 != n9
& n5 != n6
& n4 != n10
& ( X4 != X12
| X16 != X20
| X0 != X11
| X2 != X8
| X6 != X18
| X3 != X13
| X14 != X17
| X1 != X15
| X7 != X21
| X9 != X19 )
& succ(n7) = n8
& n3 = sum(n3,n0)
& n4 != n6
& n10 = sum(n9,n1)
& n2 = sum(n2,n0)
& n8 = sum(n8,n0)
& n0 = sum(n9,n2)
& n9 = sum(n5,n4)
& n9 = sum(n1,n8)
& n1 = sum(n8,n4)
& n8 != n10
& n7 != n9
& n3 = sum(n10,n4)
& sum(sum(pred(X7),succ(X21)),sum(pred(X21),succ(X7))) = X6
& n10 = sum(n5,n5)
& n2 = sum(n8,n5)
& n2 = sum(n3,n10)
& n10 = sum(n2,n8)
& n2 != n8
& n2 = sum(n9,n4)
& n0 != n1
& n3 = sum(n4,n10)
& n1 != n10
& sum(sum(pred(X8),succ(X8)),sum(pred(X2),succ(X2))) = X3
& n0 = sum(n1,n10)
& n1 = sum(n10,n2)
& n8 = sum(n1,n7)
& sum(sum(pred(X12),succ(X12)),sum(pred(X4),succ(X4))) = X21
& n1 != n9
& n8 != n9
& n5 != n7
& n6 = sum(n3,n3)
& n6 = sum(n5,n1)
& n1 = sum(n9,n3)
& n10 = sum(n10,n0)
& sum(sum(pred(X10),succ(X5)),sum(pred(X5),succ(X10))) = X15
& n2 != n4
& n1 = sum(n5,n7)
& n7 != n8
& n3 = sum(n1,n2)
& n2 = sum(n0,n2)
& n1 != n3
& n6 != n7
& n6 = sum(n4,n2)
& n0 != n10
& n1 != n8
& n4 = sum(n2,n2)
& sum(sum(pred(X17),succ(X17)),sum(pred(X14),succ(X14))) = X4
& n6 = sum(n8,n9)
& sum(sum(pred(X9),succ(X19)),sum(pred(X19),succ(X9))) = X8
& n0 = sum(n3,n8)
& n4 = sum(n9,n6)
& sum(sum(pred(X9),succ(X9)),sum(pred(X19),succ(X19))) = X2
& sum(sum(pred(X15),succ(X15)),sum(pred(X1),succ(X1))) = X19
& n8 = sum(n10,n9)
& n0 = sum(n5,n6)
& n10 = sum(n4,n6)
& n5 != n9
& succ(n2) = n3
& n7 = sum(n7,n0)
& sum(sum(pred(X6),succ(X18)),sum(pred(X18),succ(X6))) = X16
& n2 = sum(n4,n9)
& n5 = sum(n1,n4)
& n1 = sum(n4,n8)
& n6 = sum(n7,n10)
& n0 != n2
& n8 = sum(n0,n8)
& n1 != n2
& n4 = sum(n1,n3)
& succ(n6) = n7
& sum(sum(pred(X13),succ(X13)),sum(pred(X3),succ(X3))) = X11
& n9 = sum(n7,n2)
& sum(sum(pred(X17),succ(X14)),sum(pred(X14),succ(X17))) = X12
& n3 = sum(n5,n9)
& succ(n9) = n10
& n3 != n5
& sum(sum(pred(X0),succ(X0)),sum(pred(X11),succ(X11))) = X14
& n1 = sum(n1,n0)
& n2 = sum(n6,n7)
& n9 = sum(n4,n5)
& n6 = sum(n1,n5)
& n0 = sum(n10,n1)
& succ(n1) = n2
& n9 != n10
& n6 = sum(n0,n6)
& n8 = sum(n7,n1)
& ( n9 = X10
| n10 = X10
| n3 = X10
| n4 = X10
| n2 = X10
| n7 = X10
| n1 = X10
| n6 = X10
| n5 = X10
| n8 = X10
| n0 = X10 )
& n5 = sum(n5,n0)
& succ(n3) = n4
& n8 = sum(n4,n4)
& n2 = sum(n7,n6)
& n4 = sum(n6,n9)
& n4 = sum(n4,n0)
& n0 = succ(n10)
& n3 != n6
& n7 = sum(n0,n7)
& n1 != n5
& n8 = pred(n9)
& n3 = sum(n0,n3)
& n10 = sum(n8,n2)
& n0 != n5
& n8 = sum(n9,n10)
& n9 = pred(n10)
& n0 != n8
& sum(sum(pred(X12),succ(X4)),sum(pred(X4),succ(X12))) = X7
& n1 = sum(n3,n9)
& n4 = sum(n8,n7)
& n4 != n5
& n1 != n7
& n8 = sum(n3,n5)
& succ(n0) = n1
& n5 = sum(n0,n5)
& n0 != n6
& n0 = sum(n4,n7)
& n4 = sum(n7,n8)
& n4 = pred(n5)
& n9 = sum(n3,n6)
& n10 = sum(n0,n10)
& n2 = pred(n3)
& n9 = sum(n8,n1)
& n10 = sum(n3,n7)
& n9 = sum(n10,n10)
& n5 = sum(n10,n6)
& n1 = sum(n2,n10)
& n7 = sum(n9,n9)
& n9 = sum(n9,n0)
& n3 = sum(n6,n8)
& n5 = sum(n2,n3)
& n7 = pred(n8)
& sum(sum(pred(X0),succ(X11)),sum(pred(X11),succ(X0))) = X17
& n10 = sum(n1,n9)
& n7 = sum(n1,n6)
& n1 = pred(n2)
& n3 != n9
& n2 != n10
& n3 = sum(n2,n1)
& n6 = sum(n2,n4)
& n7 = sum(n2,n5)
& n0 != n7
& n3 != n8
& n0 != n3
& n0 != n9
& n6 = sum(n9,n8)
& n2 = sum(n5,n8)
& succ(n5) = n6
& n4 != n7
& n0 = sum(n8,n3)
& n8 = sum(n2,n6)
& succ(n8) = n9
& n5 != n8
& n4 = sum(n0,n4)
& n1 = sum(n7,n5)
& n10 = sum(n6,n4)
& n2 != n3
& n8 = sum(n6,n2)
& sum(sum(pred(X6),succ(X6)),sum(pred(X18),succ(X18))) = X20
& sum(sum(pred(X7),succ(X7)),sum(pred(X21),succ(X21))) = X18
& n6 != n9
& sum(sum(pred(X15),succ(X1)),sum(pred(X1),succ(X15))) = X9
& n4 = sum(n3,n1)
& sum(sum(pred(X8),succ(X2)),sum(pred(X2),succ(X8))) = X13
& n2 != n7
& n5 = sum(n8,n8)
& n5 = sum(n9,n7)
& n7 = sum(n8,n10)
& n2 != n6
& sum(sum(pred(X13),succ(X3)),sum(pred(X3),succ(X13))) = X0
& n1 = sum(n0,n1)
& n6 = pred(n7)
& n2 != n5
& n0 = sum(n6,n5)
& n7 = sum(n5,n2)
& n5 = sum(n6,n10)
& n3 = sum(n9,n5)
& n9 = sum(n2,n7)
& n0 = pred(n1)
& n9 = sum(n0,n9)
& n1 = sum(n6,n6)
& n8 = sum(n5,n3)
& n4 = sum(n5,n10)
& n1 != n4
& n4 != n9
& n7 = sum(n4,n3) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
? [X10,X3,X7,X9,X15,X1,X18,X16,X6,X4,X0,X11,X14,X8,X13,X2,X20,X12,X19,X5,X21,X17] :
( sum(sum(pred(X8),succ(X8)),sum(pred(X9),succ(X9))) = X11
& succ(n6) = n7
& n5 = sum(n9,n7)
& n0 = sum(n10,n1)
& n0 != n5
& n1 = sum(n3,n9)
& n10 = sum(n5,n5)
& n8 = sum(n3,n5)
& n10 = sum(n4,n6)
& n5 != n9
& n4 != n7
& n2 = sum(n3,n10)
& n7 = sum(n10,n8)
& succ(n7) = n8
& n0 = sum(n5,n6)
& n5 != n10
& n4 = sum(n8,n7)
& n1 = sum(n8,n4)
& n4 = sum(n6,n9)
& n3 != n6
& n0 = sum(n1,n10)
& n2 != n5
& n8 = sum(n0,n8)
& n6 != n7
& sum(sum(pred(X6),succ(X6)),sum(pred(X7),succ(X7))) = X9
& n5 = pred(n6)
& sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
& n5 = sum(n5,n0)
& n6 = sum(n6,n0)
& n0 = pred(n1)
& n1 = sum(n6,n6)
& n6 = sum(n2,n4)
& n9 = sum(n9,n0)
& ( n4 = X0
| n7 = X0
| n10 = X0
| n9 = X0
| n6 = X0
| n3 = X0
| n5 = X0
| n8 = X0
| n1 = X0
| n2 = X0
| n0 = X0 )
& sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
& n4 = pred(n5)
& n2 = sum(n9,n4)
& n6 = sum(n1,n5)
& n5 = sum(n6,n10)
& n6 = sum(n9,n8)
& n5 = sum(n2,n3)
& n0 = sum(n0,n0)
& n6 != n9
& n1 = sum(n9,n3)
& n1 = sum(n2,n10)
& n8 = sum(n6,n2)
& n6 = sum(n10,n7)
& n9 = pred(n10)
& n2 != n6
& n3 != n7
& n5 = sum(n3,n2)
& n7 = pred(n8)
& n2 != n7
& succ(n4) = n5
& n9 = sum(n6,n3)
& n0 != n9
& n4 = sum(n1,n3)
& n9 = sum(n1,n8)
& n0 != n3
& n3 = sum(n3,n0)
& n2 = sum(n10,n3)
& n2 = sum(n0,n2)
& n1 = sum(n10,n2)
& n10 = sum(n2,n8)
& n1 != n7
& n6 = sum(n3,n3)
& n1 = sum(n5,n7)
& n0 != n4
& n6 = pred(n7)
& n7 = sum(n4,n3)
& sum(sum(pred(X16),succ(X16)),sum(pred(X17),succ(X17))) = X19
& n10 = sum(n6,n4)
& n1 = pred(n2)
& n7 = sum(n1,n6)
& n10 = sum(n3,n7)
& n0 != n7
& n8 != n9
& n5 != n6
& n10 = sum(n0,n10)
& n1 != n6
& n3 != n4
& n6 = sum(n4,n2)
& sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
& n3 != n5
& sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
& n4 = sum(n10,n5)
& n6 != n10
& n5 = sum(n0,n5)
& n10 = sum(n10,n0)
& n4 = sum(n9,n6)
& n1 != n5
& n8 = sum(n2,n6)
& n2 != n4
& n4 = sum(n4,n0)
& n8 = sum(n5,n3)
& sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
& n2 = sum(n6,n7)
& n1 != n8
& n10 = sum(n8,n2)
& n0 != n1
& n7 != n10
& n0 != n8
& n6 != n8
& n8 = sum(n1,n7)
& n0 = sum(n7,n4)
& n2 = sum(n7,n6)
& n0 = sum(n4,n7)
& n3 != n9
& n6 = sum(n8,n9)
& n3 = sum(n7,n7)
& n4 != n10
& n4 = sum(n0,n4)
& n2 = sum(n2,n0)
& n3 = sum(n8,n6)
& n9 = sum(n2,n7)
& n1 = sum(n4,n8)
& sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
& n7 = sum(n7,n0)
& n2 = sum(n4,n9)
& n0 = sum(n2,n9)
& succ(n1) = n2
& n2 = sum(n5,n8)
& sum(sum(pred(X10),succ(X10)),sum(pred(X11),succ(X11))) = X13
& n1 = sum(n0,n1)
& n7 = sum(n3,n4)
& n0 = sum(n8,n3)
& n4 = sum(n2,n2)
& succ(n2) = n3
& n8 = sum(n4,n4)
& sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
& n7 = sum(n8,n10)
& sum(sum(pred(X2),succ(X2)),sum(pred(X3),succ(X3))) = X5
& n6 = sum(n7,n10)
& n3 != n10
& n9 = sum(n0,n9)
& n3 != n8
& n1 != n9
& n9 = sum(n4,n5)
& n7 = sum(n6,n1)
& n1 != n10
& n4 = sum(n5,n10)
& n0 = succ(n10)
& n4 != n6
& succ(n5) = n6
& n8 = sum(n9,n10)
& n8 = sum(n10,n9)
& n8 = sum(n7,n1)
& n3 = sum(n10,n4)
& n9 = sum(n7,n2)
& n4 != n5
& n6 = sum(n5,n1)
& n7 = sum(n5,n2)
& n0 != n6
& n1 = sum(n1,n0)
& n5 != n7
& n2 != n10
& n4 = sum(n7,n8)
& n6 = sum(n0,n6)
& succ(n0) = n1
& sum(sum(pred(X14),succ(X14)),sum(pred(X15),succ(X15))) = X17
& n2 != n9
& n9 = sum(n10,n10)
& n3 = sum(n1,n2)
& n0 = sum(n9,n2)
& n3 = sum(n2,n1)
& n1 = sum(n7,n5)
& sum(sum(pred(X12),succ(X12)),sum(pred(X13),succ(X13))) = X15
& n0 != n2
& n9 = sum(n8,n1)
& n5 = sum(n10,n6)
& n8 != n10
& n1 != n2
& n3 = sum(n4,n10)
& n0 = sum(n6,n5)
& n10 = sum(n9,n1)
& n4 != n9
& n3 = pred(n4)
& n3 = sum(n0,n3)
& n1 != n3
& n0 = sum(n3,n8)
& n9 != n10
& n1 != n4
& n7 != n9
& ( X14 != X15
| X10 != X11
| X2 != X3
| X20 != X21
| X8 != X9
| X16 != X17
| X4 != X5
| X6 != X7
| X18 != X19
| X12 != X13 )
& n2 != n8
& n10 = sum(n7,n3)
& sum(sum(pred(X4),succ(X4)),sum(pred(X5),succ(X5))) = X7
& n7 = sum(n0,n7)
& sum(sum(pred(X18),succ(X18)),sum(pred(X19),succ(X19))) = X21
& sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1))) = X3
& n2 = pred(n3)
& succ(n3) = n4
& n0 != n10
& n8 = pred(n9)
& n9 = sum(n3,n6)
& n5 = sum(n1,n4)
& n3 = sum(n5,n9)
& succ(n8) = n9
& n4 = sum(n3,n1)
& n5 = sum(n4,n1)
& n10 = sum(n1,n9)
& n7 != n8
& n5 = sum(n8,n8)
& n2 = sum(n8,n5)
& ( n0 = X1
| n7 = X1
| n5 = X1
| n1 = X1
| n6 = X1
| n3 = X1
| n4 = X1
| n8 = X1
| n2 = X1
| n9 = X1
| n10 = X1 )
& n7 = sum(n9,n9)
& succ(n9) = n10
& n2 = sum(n1,n1)
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
& n4 != n8
& sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
& n3 = sum(n9,n5)
& n3 = sum(n6,n8)
& n2 != n3
& n9 = sum(n5,n4)
& n7 = sum(n2,n5)
& n5 != n8
& n8 = sum(n8,n0)
& n10 = pred(n0)
& sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
& n5 = sum(n7,n9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f6681,plain,
( sum(n0,n3) = sK5
| ~ spl22_3
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6680,f62]) ).
fof(f62,plain,
n3 = sum(n6,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f6680,plain,
( sK5 = sum(n0,sum(n6,n8))
| ~ spl22_3
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6679,f20]) ).
fof(f20,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f5]) ).
fof(f6679,plain,
( sK5 = sum(n0,sum(pred(n7),n8))
| ~ spl22_3
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6678,f188]) ).
fof(f188,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f5]) ).
fof(f6678,plain,
( sK5 = sum(n0,sum(pred(n7),succ(n7)))
| ~ spl22_3
| ~ spl22_18 ),
inference(backward_demodulation,[],[f6625,f238]) ).
fof(f238,plain,
( n7 = sK9
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl22_3
<=> n7 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f6625,plain,
( sum(n0,sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6624,f107]) ).
fof(f107,plain,
n0 = sum(n10,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6624,plain,
( sK5 = sum(sum(n10,n1),sum(pred(sK9),succ(sK9)))
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6623,f225]) ).
fof(f225,plain,
n10 = pred(n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6623,plain,
( sK5 = sum(sum(pred(n0),n1),sum(pred(sK9),succ(sK9)))
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6622,f78]) ).
fof(f78,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f5]) ).
fof(f6622,plain,
( sK5 = sum(sum(pred(n0),succ(n0)),sum(pred(sK9),succ(sK9)))
| ~ spl22_18 ),
inference(forward_demodulation,[],[f201,f299]) ).
fof(f299,plain,
( n0 = sK1
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl22_18
<=> n0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).
fof(f201,plain,
sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(sK9),succ(sK9))),
inference(cnf_transformation,[],[f5]) ).
fof(f6718,plain,
( n3 != sK5
| ~ spl22_3
| ~ spl22_18
| spl22_31 ),
inference(forward_demodulation,[],[f352,f6695]) ).
fof(f6695,plain,
( n3 = sK21
| ~ spl22_3
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6694,f216]) ).
fof(f216,plain,
n3 = sum(n7,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f6694,plain,
( sum(n7,n7) = sK21
| ~ spl22_3
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6693,f206]) ).
fof(f206,plain,
n7 = sum(n10,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f6693,plain,
( sum(sum(n10,n8),n7) = sK21
| ~ spl22_3
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6692,f188]) ).
fof(f6692,plain,
( sK21 = sum(sum(n10,succ(n7)),n7)
| ~ spl22_3
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6691,f198]) ).
fof(f198,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6691,plain,
( sum(sum(n10,succ(n7)),sum(n6,n1)) = sK21
| ~ spl22_3
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6690,f20]) ).
fof(f6690,plain,
( sum(sum(n10,succ(n7)),sum(pred(n7),n1)) = sK21
| ~ spl22_3
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6557,f238]) ).
fof(f6557,plain,
( sum(sum(n10,succ(sK9)),sum(pred(sK9),n1)) = sK21
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6542,f225]) ).
fof(f6542,plain,
( sum(sum(pred(n0),succ(sK9)),sum(pred(sK9),n1)) = sK21
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6541,f78]) ).
fof(f6541,plain,
( sum(sum(pred(n0),succ(sK9)),sum(pred(sK9),succ(n0))) = sK21
| ~ spl22_18 ),
inference(forward_demodulation,[],[f153,f299]) ).
fof(f153,plain,
sum(sum(pred(sK1),succ(sK9)),sum(pred(sK9),succ(sK1))) = sK21,
inference(cnf_transformation,[],[f5]) ).
fof(f352,plain,
( sK5 != sK21
| spl22_31 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f350,plain,
( spl22_31
<=> sK5 = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_31])]) ).
fof(f6672,plain,
( ~ spl22_1
| ~ spl22_18
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6671]) ).
fof(f6671,plain,
( $false
| ~ spl22_1
| ~ spl22_18
| spl22_31 ),
inference(subsumption_resolution,[],[f6670,f6662]) ).
fof(f6662,plain,
( n9 != sK21
| ~ spl22_1
| ~ spl22_18
| spl22_31 ),
inference(backward_demodulation,[],[f352,f6660]) ).
fof(f6660,plain,
( n9 = sK5
| ~ spl22_1
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6659,f12]) ).
fof(f12,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f6659,plain,
( sum(n0,n9) = sK5
| ~ spl22_1
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6658,f63]) ).
fof(f63,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6658,plain,
( sK5 = sum(n0,sum(n9,n0))
| ~ spl22_1
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6657,f86]) ).
fof(f86,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6657,plain,
( sK5 = sum(n0,sum(pred(n10),n0))
| ~ spl22_1
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6656,f95]) ).
fof(f95,plain,
n0 = succ(n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6656,plain,
( sum(n0,sum(pred(n10),succ(n10))) = sK5
| ~ spl22_1
| ~ spl22_18 ),
inference(backward_demodulation,[],[f6625,f230]) ).
fof(f230,plain,
( n10 = sK9
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl22_1
<=> n10 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f6670,plain,
( n9 = sK21
| ~ spl22_1
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6669,f67]) ).
fof(f67,plain,
n9 = sum(n10,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6669,plain,
( sum(n10,n10) = sK21
| ~ spl22_1
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6668,f154]) ).
fof(f154,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6668,plain,
( sum(sum(n10,n0),n10) = sK21
| ~ spl22_1
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6667,f95]) ).
fof(f6667,plain,
( sum(sum(n10,succ(n10)),n10) = sK21
| ~ spl22_1
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6666,f185]) ).
fof(f185,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6666,plain,
( sum(sum(n10,succ(n10)),sum(n9,n1)) = sK21
| ~ spl22_1
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6655,f86]) ).
fof(f6655,plain,
( sum(sum(n10,succ(n10)),sum(pred(n10),n1)) = sK21
| ~ spl22_1
| ~ spl22_18 ),
inference(backward_demodulation,[],[f6557,f230]) ).
fof(f6645,plain,
( ~ spl22_7
| ~ spl22_18
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6644]) ).
fof(f6644,plain,
( $false
| ~ spl22_7
| ~ spl22_18
| spl22_31 ),
inference(subsumption_resolution,[],[f6643,f6637]) ).
fof(f6637,plain,
( n4 != sK21
| ~ spl22_7
| ~ spl22_18
| spl22_31 ),
inference(forward_demodulation,[],[f352,f6633]) ).
fof(f6633,plain,
( n4 = sK5
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6632,f38]) ).
fof(f38,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f6632,plain,
( sum(n0,n4) = sK5
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6631,f120]) ).
fof(f120,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6631,plain,
( sK5 = sum(n0,sum(n1,n3))
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6630,f56]) ).
fof(f56,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6630,plain,
( sK5 = sum(n0,sum(pred(n2),n3))
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6629,f130]) ).
fof(f130,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f5]) ).
fof(f6629,plain,
( sK5 = sum(n0,sum(pred(n2),succ(n2)))
| ~ spl22_7
| ~ spl22_18 ),
inference(backward_demodulation,[],[f6625,f254]) ).
fof(f254,plain,
( n2 = sK9
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f252,plain,
( spl22_7
<=> n2 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
fof(f6643,plain,
( n4 = sK21
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6642,f142]) ).
fof(f142,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6642,plain,
( sum(n2,n2) = sK21
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6641,f215]) ).
fof(f215,plain,
n2 = sum(n10,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6641,plain,
( sum(sum(n10,n3),n2) = sK21
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6640,f130]) ).
fof(f6640,plain,
( sK21 = sum(sum(n10,succ(n2)),n2)
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6639,f197]) ).
fof(f197,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6639,plain,
( sum(sum(n10,succ(n2)),sum(n1,n1)) = sK21
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6638,f56]) ).
fof(f6638,plain,
( sum(sum(n10,succ(n2)),sum(pred(n2),n1)) = sK21
| ~ spl22_7
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6557,f254]) ).
fof(f6615,plain,
( ~ spl22_8
| ~ spl22_18
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6614]) ).
fof(f6614,plain,
( $false
| ~ spl22_8
| ~ spl22_18
| spl22_31 ),
inference(subsumption_resolution,[],[f6613,f6604]) ).
fof(f6604,plain,
( n2 != sK5
| ~ spl22_8
| ~ spl22_18
| spl22_31 ),
inference(forward_demodulation,[],[f352,f6597]) ).
fof(f6597,plain,
( n2 = sK21
| ~ spl22_8
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6596,f197]) ).
fof(f6596,plain,
( sum(n1,n1) = sK21
| ~ spl22_8
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6595,f163]) ).
fof(f163,plain,
n1 = sum(n10,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6595,plain,
( sum(sum(n10,n2),n1) = sK21
| ~ spl22_8
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6594,f106]) ).
fof(f106,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f5]) ).
fof(f6594,plain,
( sK21 = sum(sum(n10,succ(n1)),n1)
| ~ spl22_8
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6593,f21]) ).
fof(f21,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6593,plain,
( sum(sum(n10,succ(n1)),sum(n0,n1)) = sK21
| ~ spl22_8
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6592,f13]) ).
fof(f13,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6592,plain,
( sum(sum(n10,succ(n1)),sum(pred(n1),n1)) = sK21
| ~ spl22_8
| ~ spl22_18 ),
inference(backward_demodulation,[],[f6557,f258]) ).
fof(f258,plain,
( n1 = sK9
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl22_8
<=> n1 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f6613,plain,
( n2 = sK5
| ~ spl22_8
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6612,f148]) ).
fof(f148,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6612,plain,
( sum(n0,n2) = sK5
| ~ spl22_8
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6611,f107]) ).
fof(f6611,plain,
( sK5 = sum(sum(n10,n1),n2)
| ~ spl22_8
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6610,f225]) ).
fof(f6610,plain,
( sK5 = sum(sum(pred(n0),n1),n2)
| ~ spl22_8
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6609,f78]) ).
fof(f6609,plain,
( sK5 = sum(sum(pred(n0),succ(n0)),n2)
| ~ spl22_8
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6608,f299]) ).
fof(f6608,plain,
( sum(sum(pred(sK1),succ(sK1)),n2) = sK5
| ~ spl22_8 ),
inference(forward_demodulation,[],[f6607,f148]) ).
fof(f6607,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n0,n2))
| ~ spl22_8 ),
inference(forward_demodulation,[],[f6606,f13]) ).
fof(f6606,plain,
( sum(sum(pred(sK1),succ(sK1)),sum(pred(n1),n2)) = sK5
| ~ spl22_8 ),
inference(forward_demodulation,[],[f6605,f106]) ).
fof(f6605,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n1),succ(n1)))
| ~ spl22_8 ),
inference(forward_demodulation,[],[f201,f258]) ).
fof(f6582,plain,
( ~ spl22_9
| ~ spl22_18
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6581]) ).
fof(f6581,plain,
( $false
| ~ spl22_9
| ~ spl22_18
| spl22_31 ),
inference(subsumption_resolution,[],[f6580,f6571]) ).
fof(f6571,plain,
( n10 != sK5
| ~ spl22_9
| ~ spl22_18
| spl22_31 ),
inference(forward_demodulation,[],[f352,f6566]) ).
fof(f6566,plain,
( n10 = sK21
| ~ spl22_9
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6565,f174]) ).
fof(f174,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6565,plain,
( sum(n5,n5) = sK21
| ~ spl22_9
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6564,f66]) ).
fof(f66,plain,
n5 = sum(n10,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6564,plain,
( sum(sum(n10,n6),n5) = sK21
| ~ spl22_9
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6563,f44]) ).
fof(f44,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f5]) ).
fof(f6563,plain,
( sum(sum(n10,succ(n5)),n5) = sK21
| ~ spl22_9
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6562,f222]) ).
fof(f222,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6562,plain,
( sum(sum(n10,succ(n5)),sum(n4,n1)) = sK21
| ~ spl22_9
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6561,f73]) ).
fof(f73,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6561,plain,
( sum(sum(n10,succ(n5)),sum(pred(n5),n1)) = sK21
| ~ spl22_9
| ~ spl22_18 ),
inference(backward_demodulation,[],[f6557,f262]) ).
fof(f262,plain,
( n5 = sK9
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl22_9
<=> n5 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
fof(f6580,plain,
( n10 = sK5
| ~ spl22_9
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6579,f71]) ).
fof(f71,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6579,plain,
( sum(n0,n10) = sK5
| ~ spl22_9
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6578,f107]) ).
fof(f6578,plain,
( sK5 = sum(sum(n10,n1),n10)
| ~ spl22_9
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6577,f225]) ).
fof(f6577,plain,
( sK5 = sum(sum(pred(n0),n1),n10)
| ~ spl22_9
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6576,f78]) ).
fof(f6576,plain,
( sK5 = sum(sum(pred(n0),succ(n0)),n10)
| ~ spl22_9
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6575,f299]) ).
fof(f6575,plain,
( sum(sum(pred(sK1),succ(sK1)),n10) = sK5
| ~ spl22_9 ),
inference(forward_demodulation,[],[f6574,f132]) ).
fof(f132,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6574,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n4,n6))
| ~ spl22_9 ),
inference(forward_demodulation,[],[f6573,f73]) ).
fof(f6573,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n5),n6))
| ~ spl22_9 ),
inference(forward_demodulation,[],[f6572,f44]) ).
fof(f6572,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n5),succ(n5)))
| ~ spl22_9 ),
inference(forward_demodulation,[],[f201,f262]) ).
fof(f6551,plain,
( ~ spl22_4
| ~ spl22_18
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6550]) ).
fof(f6550,plain,
( $false
| ~ spl22_4
| ~ spl22_18
| spl22_31 ),
inference(subsumption_resolution,[],[f6549,f6536]) ).
fof(f6536,plain,
( n5 != sK21
| ~ spl22_4
| ~ spl22_18
| spl22_31 ),
inference(backward_demodulation,[],[f352,f6534]) ).
fof(f6534,plain,
( n5 = sK5
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6533,f77]) ).
fof(f77,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6533,plain,
( sum(n0,n5) = sK5
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6532,f107]) ).
fof(f6532,plain,
( sK5 = sum(sum(n10,n1),n5)
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6531,f225]) ).
fof(f6531,plain,
( sK5 = sum(sum(pred(n0),n1),n5)
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6530,f78]) ).
fof(f6530,plain,
( sK5 = sum(sum(pred(n0),succ(n0)),n5)
| ~ spl22_4
| ~ spl22_18 ),
inference(backward_demodulation,[],[f6522,f299]) ).
fof(f6522,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n5)
| ~ spl22_4 ),
inference(forward_demodulation,[],[f6521,f204]) ).
fof(f204,plain,
n5 = sum(n7,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f6521,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n7,n9))
| ~ spl22_4 ),
inference(forward_demodulation,[],[f6520,f60]) ).
fof(f60,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f5]) ).
fof(f6520,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n8),n9))
| ~ spl22_4 ),
inference(forward_demodulation,[],[f6519,f40]) ).
fof(f40,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f5]) ).
fof(f6519,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n8),succ(n8)))
| ~ spl22_4 ),
inference(forward_demodulation,[],[f201,f242]) ).
fof(f242,plain,
( n8 = sK9
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl22_4
<=> n8 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f6549,plain,
( n5 = sK21
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6548,f26]) ).
fof(f26,plain,
n5 = sum(n8,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f6548,plain,
( sum(n8,n8) = sK21
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6547,f134]) ).
fof(f134,plain,
n8 = sum(n10,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f6547,plain,
( sum(sum(n10,n9),n8) = sK21
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6546,f225]) ).
fof(f6546,plain,
( sum(sum(pred(n0),n9),n8) = sK21
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6545,f40]) ).
fof(f6545,plain,
( sK21 = sum(sum(pred(n0),succ(n8)),n8)
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6544,f103]) ).
fof(f103,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6544,plain,
( sum(sum(pred(n0),succ(n8)),sum(n7,n1)) = sK21
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6543,f60]) ).
fof(f6543,plain,
( sum(sum(pred(n0),succ(n8)),sum(pred(n8),n1)) = sK21
| ~ spl22_4
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6542,f242]) ).
fof(f6518,plain,
( ~ spl22_4
| ~ spl22_13
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6517]) ).
fof(f6517,plain,
( $false
| ~ spl22_4
| ~ spl22_13
| spl22_31 ),
inference(subsumption_resolution,[],[f6516,f6480]) ).
fof(f6480,plain,
( n4 = sK5
| ~ spl22_4
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6479,f221]) ).
fof(f221,plain,
n4 = sum(n10,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6479,plain,
( sum(n10,n5) = sK5
| ~ spl22_4
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6478,f204]) ).
fof(f6478,plain,
( sK5 = sum(n10,sum(n7,n9))
| ~ spl22_4
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6477,f60]) ).
fof(f6477,plain,
( sK5 = sum(n10,sum(pred(n8),n9))
| ~ spl22_4
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6476,f40]) ).
fof(f6476,plain,
( sK5 = sum(n10,sum(pred(n8),succ(n8)))
| ~ spl22_4
| ~ spl22_13 ),
inference(backward_demodulation,[],[f6440,f242]) ).
fof(f6440,plain,
( sK5 = sum(n10,sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6439,f132]) ).
fof(f6439,plain,
( sK5 = sum(sum(n4,n6),sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6438,f73]) ).
fof(f6438,plain,
( sK5 = sum(sum(pred(n5),n6),sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6437,f44]) ).
fof(f6437,plain,
( sum(sum(pred(n5),succ(n5)),sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_13 ),
inference(backward_demodulation,[],[f201,f279]) ).
fof(f279,plain,
( n5 = sK1
| ~ spl22_13 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl22_13
<=> n5 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
fof(f6516,plain,
( n4 != sK5
| ~ spl22_4
| ~ spl22_13
| spl22_31 ),
inference(forward_demodulation,[],[f352,f6490]) ).
fof(f6490,plain,
( n4 = sK21
| ~ spl22_4
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6489,f142]) ).
fof(f6489,plain,
( sum(n2,n2) = sK21
| ~ spl22_4
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6488,f127]) ).
fof(f127,plain,
n2 = sum(n4,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f6488,plain,
( sum(sum(n4,n9),n2) = sK21
| ~ spl22_4
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6487,f73]) ).
fof(f6487,plain,
( sum(sum(pred(n5),n9),n2) = sK21
| ~ spl22_4
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6486,f40]) ).
fof(f6486,plain,
( sum(sum(pred(n5),succ(n8)),n2) = sK21
| ~ spl22_4
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6485,f98]) ).
fof(f98,plain,
n2 = sum(n7,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6485,plain,
( sum(sum(pred(n5),succ(n8)),sum(n7,n6)) = sK21
| ~ spl22_4
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6484,f60]) ).
fof(f6484,plain,
( sum(sum(pred(n5),succ(n8)),sum(pred(n8),n6)) = sK21
| ~ spl22_4
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6458,f242]) ).
fof(f6458,plain,
( sum(sum(pred(n5),succ(sK9)),sum(pred(sK9),n6)) = sK21
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6457,f44]) ).
fof(f6457,plain,
( sum(sum(pred(n5),succ(sK9)),sum(pred(sK9),succ(n5))) = sK21
| ~ spl22_13 ),
inference(forward_demodulation,[],[f153,f279]) ).
fof(f6466,plain,
( ~ spl22_9
| ~ spl22_13
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6465]) ).
fof(f6465,plain,
( $false
| ~ spl22_9
| ~ spl22_13
| spl22_31 ),
inference(subsumption_resolution,[],[f6464,f6452]) ).
fof(f6452,plain,
( n9 != sK21
| ~ spl22_9
| ~ spl22_13
| spl22_31 ),
inference(backward_demodulation,[],[f352,f6451]) ).
fof(f6451,plain,
( n9 = sK5
| ~ spl22_9
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6450,f67]) ).
fof(f6450,plain,
( sum(n10,n10) = sK5
| ~ spl22_9
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6449,f132]) ).
fof(f6449,plain,
( sK5 = sum(n10,sum(n4,n6))
| ~ spl22_9
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6448,f73]) ).
fof(f6448,plain,
( sK5 = sum(n10,sum(pred(n5),n6))
| ~ spl22_9
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6447,f44]) ).
fof(f6447,plain,
( sK5 = sum(n10,sum(pred(n5),succ(n5)))
| ~ spl22_9
| ~ spl22_13 ),
inference(backward_demodulation,[],[f6440,f262]) ).
fof(f6464,plain,
( n9 = sK21
| ~ spl22_9
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6463,f67]) ).
fof(f6463,plain,
( sum(n10,n10) = sK21
| ~ spl22_9
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6462,f132]) ).
fof(f6462,plain,
( sK21 = sum(sum(n4,n6),n10)
| ~ spl22_9
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6461,f44]) ).
fof(f6461,plain,
( sum(sum(n4,succ(n5)),n10) = sK21
| ~ spl22_9
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6460,f132]) ).
fof(f6460,plain,
( sK21 = sum(sum(n4,succ(n5)),sum(n4,n6))
| ~ spl22_9
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6459,f73]) ).
fof(f6459,plain,
( sK21 = sum(sum(pred(n5),succ(n5)),sum(pred(n5),n6))
| ~ spl22_9
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6458,f262]) ).
fof(f6435,plain,
( ~ spl22_5
| ~ spl22_18
| spl22_26 ),
inference(avatar_contradiction_clause,[],[f6434]) ).
fof(f6434,plain,
( $false
| ~ spl22_5
| ~ spl22_18
| spl22_26 ),
inference(subsumption_resolution,[],[f6433,f6411]) ).
fof(f6411,plain,
( n0 != sK12
| ~ spl22_5
| ~ spl22_18
| spl22_26 ),
inference(backward_demodulation,[],[f332,f6410]) ).
fof(f6410,plain,
( n0 = sK19
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6409,f219]) ).
fof(f219,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6409,plain,
( sum(n0,n0) = sK19
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6408,f107]) ).
fof(f6408,plain,
( sum(sum(n10,n1),n0) = sK19
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6407,f225]) ).
fof(f6407,plain,
( sum(sum(pred(n0),n1),n0) = sK19
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6406,f107]) ).
fof(f6406,plain,
( sK19 = sum(sum(pred(n0),n1),sum(n10,n1))
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6405,f78]) ).
fof(f6405,plain,
( sum(sum(pred(n0),n1),sum(n10,succ(n0))) = sK19
| ~ spl22_5
| ~ spl22_18 ),
inference(backward_demodulation,[],[f6395,f6404]) ).
fof(f6404,plain,
( n0 = sK21
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6403,f219]) ).
fof(f6403,plain,
( sum(n0,n0) = sK21
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6402,f107]) ).
fof(f6402,plain,
( sum(sum(n10,n1),n0) = sK21
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6401,f78]) ).
fof(f6401,plain,
( sum(sum(n10,succ(n0)),n0) = sK21
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6400,f107]) ).
fof(f6400,plain,
( sum(sum(n10,succ(n0)),sum(n10,n1)) = sK21
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6399,f225]) ).
fof(f6399,plain,
( sum(sum(pred(n0),succ(n0)),sum(pred(n0),n1)) = sK21
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6398,f246]) ).
fof(f246,plain,
( n0 = sK9
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl22_5
<=> n0 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f6398,plain,
( sum(sum(pred(n0),succ(sK9)),sum(pred(sK9),n1)) = sK21
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6397,f78]) ).
fof(f6397,plain,
( sum(sum(pred(n0),succ(sK9)),sum(pred(sK9),succ(n0))) = sK21
| ~ spl22_18 ),
inference(forward_demodulation,[],[f153,f299]) ).
fof(f6395,plain,
( sum(sum(pred(sK21),n1),sum(n10,succ(sK21))) = sK19
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6394,f78]) ).
fof(f6394,plain,
( sK19 = sum(sum(pred(sK21),succ(n0)),sum(n10,succ(sK21)))
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6393,f225]) ).
fof(f6393,plain,
( sum(sum(pred(sK21),succ(n0)),sum(pred(n0),succ(sK21))) = sK19
| ~ spl22_5
| ~ spl22_18 ),
inference(backward_demodulation,[],[f30,f6392]) ).
fof(f6392,plain,
( n0 = sK5
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6391,f219]) ).
fof(f6391,plain,
( sum(n0,n0) = sK5
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6390,f107]) ).
fof(f6390,plain,
( sK5 = sum(sum(n10,n1),n0)
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6389,f225]) ).
fof(f6389,plain,
( sK5 = sum(sum(pred(n0),n1),n0)
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6388,f78]) ).
fof(f6388,plain,
( sK5 = sum(sum(pred(n0),succ(n0)),n0)
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6387,f299]) ).
fof(f6387,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n0)
| ~ spl22_5 ),
inference(forward_demodulation,[],[f6386,f107]) ).
fof(f6386,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n10,n1))
| ~ spl22_5 ),
inference(forward_demodulation,[],[f6385,f225]) ).
fof(f6385,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n0),n1))
| ~ spl22_5 ),
inference(forward_demodulation,[],[f6384,f78]) ).
fof(f6384,plain,
( sum(sum(pred(sK1),succ(sK1)),sum(pred(n0),succ(n0))) = sK5
| ~ spl22_5 ),
inference(forward_demodulation,[],[f201,f246]) ).
fof(f30,plain,
sK19 = sum(sum(pred(sK21),succ(sK5)),sum(pred(sK5),succ(sK21))),
inference(cnf_transformation,[],[f5]) ).
fof(f332,plain,
( sK12 != sK19
| spl22_26 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl22_26
<=> sK12 = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_26])]) ).
fof(f6433,plain,
( n0 = sK12
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6432,f219]) ).
fof(f6432,plain,
( sum(n0,n0) = sK12
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6431,f107]) ).
fof(f6431,plain,
( sum(sum(n10,n1),n0) = sK12
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6430,f225]) ).
fof(f6430,plain,
( sum(sum(pred(n0),n1),n0) = sK12
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6429,f78]) ).
fof(f6429,plain,
( sK12 = sum(sum(pred(n0),succ(n0)),n0)
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6428,f6404]) ).
fof(f6428,plain,
( sum(sum(pred(sK21),succ(sK21)),n0) = sK12
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6427,f107]) ).
fof(f6427,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(n10,n1))
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6426,f225]) ).
fof(f6426,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n0),n1)) = sK12
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6425,f78]) ).
fof(f6425,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n0),succ(n0))) = sK12
| ~ spl22_5
| ~ spl22_18 ),
inference(forward_demodulation,[],[f135,f6392]) ).
fof(f135,plain,
sum(sum(pred(sK21),succ(sK21)),sum(pred(sK5),succ(sK5))) = sK12,
inference(cnf_transformation,[],[f5]) ).
fof(f6421,plain,
( ~ spl22_5
| ~ spl22_18
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6420]) ).
fof(f6420,plain,
( $false
| ~ spl22_5
| ~ spl22_18
| spl22_31 ),
inference(subsumption_resolution,[],[f6419,f6392]) ).
fof(f6419,plain,
( n0 != sK5
| ~ spl22_5
| ~ spl22_18
| spl22_31 ),
inference(forward_demodulation,[],[f352,f6404]) ).
fof(f6369,plain,
( ~ spl22_5
| ~ spl22_13
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6368]) ).
fof(f6368,plain,
( $false
| ~ spl22_5
| ~ spl22_13
| spl22_31 ),
inference(subsumption_resolution,[],[f6367,f6353]) ).
fof(f6353,plain,
( n10 != sK21
| ~ spl22_5
| ~ spl22_13
| spl22_31 ),
inference(backward_demodulation,[],[f352,f6351]) ).
fof(f6351,plain,
( n10 = sK5
| ~ spl22_5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6350,f154]) ).
fof(f6350,plain,
( sum(n10,n0) = sK5
| ~ spl22_5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6349,f107]) ).
fof(f6349,plain,
( sum(n10,sum(n10,n1)) = sK5
| ~ spl22_5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6348,f225]) ).
fof(f6348,plain,
( sum(n10,sum(pred(n0),n1)) = sK5
| ~ spl22_5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6347,f78]) ).
fof(f6347,plain,
( sum(n10,sum(pred(n0),succ(n0))) = sK5
| ~ spl22_5
| ~ spl22_13 ),
inference(backward_demodulation,[],[f6341,f246]) ).
fof(f6341,plain,
( sK5 = sum(n10,sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6340,f132]) ).
fof(f6340,plain,
( sK5 = sum(sum(n4,n6),sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6339,f73]) ).
fof(f6339,plain,
( sK5 = sum(sum(pred(n5),n6),sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6337,f44]) ).
fof(f6337,plain,
( sum(sum(pred(n5),succ(n5)),sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_13 ),
inference(backward_demodulation,[],[f201,f279]) ).
fof(f6367,plain,
( n10 = sK21
| ~ spl22_5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6366,f174]) ).
fof(f6366,plain,
( sum(n5,n5) = sK21
| ~ spl22_5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6365,f222]) ).
fof(f6365,plain,
( sum(sum(n4,n1),n5) = sK21
| ~ spl22_5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6364,f73]) ).
fof(f6364,plain,
( sum(sum(pred(n5),n1),n5) = sK21
| ~ spl22_5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6363,f78]) ).
fof(f6363,plain,
( sum(sum(pred(n5),succ(n0)),n5) = sK21
| ~ spl22_5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6362,f66]) ).
fof(f6362,plain,
( sK21 = sum(sum(pred(n5),succ(n0)),sum(n10,n6))
| ~ spl22_5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6361,f225]) ).
fof(f6361,plain,
( sum(sum(pred(n5),succ(n0)),sum(pred(n0),n6)) = sK21
| ~ spl22_5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6360,f246]) ).
fof(f6360,plain,
( sum(sum(pred(n5),succ(sK9)),sum(pred(sK9),n6)) = sK21
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6359,f44]) ).
fof(f6359,plain,
( sum(sum(pred(n5),succ(sK9)),sum(pred(sK9),succ(n5))) = sK21
| ~ spl22_13 ),
inference(forward_demodulation,[],[f153,f279]) ).
fof(f6329,plain,
( ~ spl22_9
| ~ spl22_19
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6328]) ).
fof(f6328,plain,
( $false
| ~ spl22_9
| ~ spl22_19
| spl22_31 ),
inference(subsumption_resolution,[],[f6327,f6322]) ).
fof(f6322,plain,
( n7 != sK21
| ~ spl22_9
| ~ spl22_19
| spl22_31 ),
inference(backward_demodulation,[],[f352,f6321]) ).
fof(f6321,plain,
( n7 = sK5
| ~ spl22_9
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6320,f24]) ).
fof(f24,plain,
n7 = sum(n8,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6320,plain,
( sum(n8,n10) = sK5
| ~ spl22_9
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6319,f132]) ).
fof(f6319,plain,
( sK5 = sum(n8,sum(n4,n6))
| ~ spl22_9
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6318,f73]) ).
fof(f6318,plain,
( sK5 = sum(n8,sum(pred(n5),n6))
| ~ spl22_9
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6316,f44]) ).
fof(f6316,plain,
( sK5 = sum(n8,sum(pred(n5),succ(n5)))
| ~ spl22_9
| ~ spl22_19 ),
inference(backward_demodulation,[],[f6266,f262]) ).
fof(f6266,plain,
( sum(n8,sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6265,f79]) ).
fof(f79,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6265,plain,
( sK5 = sum(sum(n3,n5),sum(pred(sK9),succ(sK9)))
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6264,f209]) ).
fof(f209,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f5]) ).
fof(f6264,plain,
( sK5 = sum(sum(pred(n4),n5),sum(pred(sK9),succ(sK9)))
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6263,f208]) ).
fof(f208,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f5]) ).
fof(f6263,plain,
( sK5 = sum(sum(pred(n4),succ(n4)),sum(pred(sK9),succ(sK9)))
| ~ spl22_19 ),
inference(forward_demodulation,[],[f201,f303]) ).
fof(f303,plain,
( n4 = sK1
| ~ spl22_19 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl22_19
<=> n4 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_19])]) ).
fof(f6327,plain,
( n7 = sK21
| ~ spl22_9
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6326,f64]) ).
fof(f64,plain,
n7 = sum(n9,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f6326,plain,
( sum(n9,n9) = sK21
| ~ spl22_9
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6325,f72]) ).
fof(f72,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6325,plain,
( sK21 = sum(sum(n3,n6),n9)
| ~ spl22_9
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6324,f44]) ).
fof(f6324,plain,
( sum(sum(n3,succ(n5)),n9) = sK21
| ~ spl22_9
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6323,f109]) ).
fof(f109,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6323,plain,
( sum(sum(n3,succ(n5)),sum(n4,n5)) = sK21
| ~ spl22_9
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6317,f73]) ).
fof(f6317,plain,
( sum(sum(n3,succ(n5)),sum(pred(n5),n5)) = sK21
| ~ spl22_9
| ~ spl22_19 ),
inference(backward_demodulation,[],[f6267,f262]) ).
fof(f6267,plain,
( sK21 = sum(sum(n3,succ(sK9)),sum(pred(sK9),n5))
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6208,f209]) ).
fof(f6208,plain,
( sum(sum(pred(n4),succ(sK9)),sum(pred(sK9),n5)) = sK21
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6207,f208]) ).
fof(f6207,plain,
( sum(sum(pred(n4),succ(sK9)),sum(pred(sK9),succ(n4))) = sK21
| ~ spl22_19 ),
inference(forward_demodulation,[],[f153,f303]) ).
fof(f6310,plain,
( ~ spl22_4
| ~ spl22_19
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6309]) ).
fof(f6309,plain,
( $false
| ~ spl22_4
| ~ spl22_19
| spl22_31 ),
inference(subsumption_resolution,[],[f6308,f6278]) ).
fof(f6278,plain,
( n2 = sK5
| ~ spl22_4
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6277,f173]) ).
fof(f173,plain,
n2 = sum(n8,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6277,plain,
( sum(n8,n5) = sK5
| ~ spl22_4
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6276,f204]) ).
fof(f6276,plain,
( sK5 = sum(n8,sum(n7,n9))
| ~ spl22_4
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6275,f60]) ).
fof(f6275,plain,
( sK5 = sum(n8,sum(pred(n8),n9))
| ~ spl22_4
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6269,f40]) ).
fof(f6269,plain,
( sK5 = sum(n8,sum(pred(n8),succ(n8)))
| ~ spl22_4
| ~ spl22_19 ),
inference(backward_demodulation,[],[f6266,f242]) ).
fof(f6308,plain,
( n2 != sK5
| ~ spl22_4
| ~ spl22_19
| spl22_31 ),
inference(forward_demodulation,[],[f352,f6274]) ).
fof(f6274,plain,
( n2 = sK21
| ~ spl22_4
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6273,f197]) ).
fof(f6273,plain,
( sum(n1,n1) = sK21
| ~ spl22_4
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6272,f83]) ).
fof(f83,plain,
n1 = sum(n3,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f6272,plain,
( sum(sum(n3,n9),n1) = sK21
| ~ spl22_4
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6271,f40]) ).
fof(f6271,plain,
( sum(sum(n3,succ(n8)),n1) = sK21
| ~ spl22_4
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6270,f37]) ).
fof(f37,plain,
n1 = sum(n7,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6270,plain,
( sum(sum(n3,succ(n8)),sum(n7,n5)) = sK21
| ~ spl22_4
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6268,f60]) ).
fof(f6268,plain,
( sK21 = sum(sum(n3,succ(n8)),sum(pred(n8),n5))
| ~ spl22_4
| ~ spl22_19 ),
inference(backward_demodulation,[],[f6267,f242]) ).
fof(f6262,plain,
( ~ spl22_5
| ~ spl22_19
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6261]) ).
fof(f6261,plain,
( $false
| ~ spl22_5
| ~ spl22_19
| spl22_31 ),
inference(subsumption_resolution,[],[f6260,f6234]) ).
fof(f6234,plain,
( n8 = sK5
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6233,f183]) ).
fof(f183,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6233,plain,
( sum(n8,n0) = sK5
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6232,f79]) ).
fof(f6232,plain,
( sK5 = sum(sum(n3,n5),n0)
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6231,f209]) ).
fof(f6231,plain,
( sK5 = sum(sum(pred(n4),n5),n0)
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6230,f208]) ).
fof(f6230,plain,
( sK5 = sum(sum(pred(n4),succ(n4)),n0)
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6229,f303]) ).
fof(f6229,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n0)
| ~ spl22_5 ),
inference(forward_demodulation,[],[f6228,f107]) ).
fof(f6228,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n10,n1))
| ~ spl22_5 ),
inference(forward_demodulation,[],[f6227,f225]) ).
fof(f6227,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n0),n1))
| ~ spl22_5 ),
inference(forward_demodulation,[],[f6226,f78]) ).
fof(f6226,plain,
( sum(sum(pred(sK1),succ(sK1)),sum(pred(n0),succ(n0))) = sK5
| ~ spl22_5 ),
inference(forward_demodulation,[],[f201,f246]) ).
fof(f6260,plain,
( n8 != sK5
| ~ spl22_5
| ~ spl22_19
| spl22_31 ),
inference(forward_demodulation,[],[f352,f6215]) ).
fof(f6215,plain,
( n8 = sK21
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6214,f99]) ).
fof(f99,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f6214,plain,
( sum(n4,n4) = sK21
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6213,f29]) ).
fof(f29,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6213,plain,
( sum(sum(n3,n1),n4) = sK21
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6212,f209]) ).
fof(f6212,plain,
( sum(sum(pred(n4),n1),n4) = sK21
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6211,f78]) ).
fof(f6211,plain,
( sum(sum(pred(n4),succ(n0)),n4) = sK21
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6210,f221]) ).
fof(f6210,plain,
( sum(sum(pred(n4),succ(n0)),sum(n10,n5)) = sK21
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6209,f225]) ).
fof(f6209,plain,
( sK21 = sum(sum(pred(n4),succ(n0)),sum(pred(n0),n5))
| ~ spl22_5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6208,f246]) ).
fof(f6197,plain,
( ~ spl22_10
| ~ spl22_18
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6196]) ).
fof(f6196,plain,
( $false
| ~ spl22_10
| ~ spl22_18
| spl22_31 ),
inference(subsumption_resolution,[],[f6195,f6185]) ).
fof(f6185,plain,
( n8 != sK5
| ~ spl22_10
| ~ spl22_18
| spl22_31 ),
inference(backward_demodulation,[],[f352,f6183]) ).
fof(f6183,plain,
( n8 = sK21
| ~ spl22_10
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6182,f99]) ).
fof(f6182,plain,
( sum(n4,n4) = sK21
| ~ spl22_10
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6181,f221]) ).
fof(f6181,plain,
( sum(sum(n10,n5),n4) = sK21
| ~ spl22_10
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6180,f225]) ).
fof(f6180,plain,
( sum(sum(pred(n0),n5),n4) = sK21
| ~ spl22_10
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6179,f29]) ).
fof(f6179,plain,
( sum(sum(pred(n0),n5),sum(n3,n1)) = sK21
| ~ spl22_10
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6178,f78]) ).
fof(f6178,plain,
( sum(sum(pred(n0),n5),sum(n3,succ(n0))) = sK21
| ~ spl22_10
| ~ spl22_18 ),
inference(backward_demodulation,[],[f6167,f299]) ).
fof(f6167,plain,
( sum(sum(pred(sK1),n5),sum(n3,succ(sK1))) = sK21
| ~ spl22_10 ),
inference(forward_demodulation,[],[f6166,f208]) ).
fof(f6166,plain,
( sum(sum(pred(sK1),succ(n4)),sum(n3,succ(sK1))) = sK21
| ~ spl22_10 ),
inference(forward_demodulation,[],[f6165,f209]) ).
fof(f6165,plain,
( sum(sum(pred(sK1),succ(n4)),sum(pred(n4),succ(sK1))) = sK21
| ~ spl22_10 ),
inference(forward_demodulation,[],[f153,f266]) ).
fof(f266,plain,
( n4 = sK9
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl22_10
<=> n4 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).
fof(f6195,plain,
( n8 = sK5
| ~ spl22_10
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6194,f122]) ).
fof(f122,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f6194,plain,
( sum(n0,n8) = sK5
| ~ spl22_10
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6193,f107]) ).
fof(f6193,plain,
( sK5 = sum(sum(n10,n1),n8)
| ~ spl22_10
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6192,f225]) ).
fof(f6192,plain,
( sK5 = sum(sum(pred(n0),n1),n8)
| ~ spl22_10
| ~ spl22_18 ),
inference(forward_demodulation,[],[f6177,f78]) ).
fof(f6177,plain,
( sK5 = sum(sum(pred(n0),succ(n0)),n8)
| ~ spl22_10
| ~ spl22_18 ),
inference(backward_demodulation,[],[f6140,f299]) ).
fof(f6140,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n8)
| ~ spl22_10 ),
inference(forward_demodulation,[],[f6139,f79]) ).
fof(f6139,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n3,n5))
| ~ spl22_10 ),
inference(forward_demodulation,[],[f6138,f209]) ).
fof(f6138,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n4),n5))
| ~ spl22_10 ),
inference(forward_demodulation,[],[f6137,f208]) ).
fof(f6137,plain,
( sum(sum(pred(sK1),succ(sK1)),sum(pred(n4),succ(n4))) = sK5
| ~ spl22_10 ),
inference(forward_demodulation,[],[f201,f266]) ).
fof(f6164,plain,
( ~ spl22_10
| ~ spl22_13
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6163]) ).
fof(f6163,plain,
( $false
| ~ spl22_10
| ~ spl22_13
| spl22_31 ),
inference(subsumption_resolution,[],[f6162,f6148]) ).
fof(f6148,plain,
( n7 != sK21
| ~ spl22_10
| ~ spl22_13
| spl22_31 ),
inference(backward_demodulation,[],[f352,f6145]) ).
fof(f6145,plain,
( n7 = sK5
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6144,f206]) ).
fof(f6144,plain,
( sum(n10,n8) = sK5
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6143,f132]) ).
fof(f6143,plain,
( sK5 = sum(sum(n4,n6),n8)
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6142,f73]) ).
fof(f6142,plain,
( sK5 = sum(sum(pred(n5),n6),n8)
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6141,f44]) ).
fof(f6141,plain,
( sK5 = sum(sum(pred(n5),succ(n5)),n8)
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6140,f279]) ).
fof(f6162,plain,
( n7 = sK21
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6161,f64]) ).
fof(f6161,plain,
( sum(n9,n9) = sK21
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6160,f109]) ).
fof(f6160,plain,
( sK21 = sum(sum(n4,n5),n9)
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6159,f73]) ).
fof(f6159,plain,
( sum(sum(pred(n5),n5),n9) = sK21
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6158,f208]) ).
fof(f6158,plain,
( sum(sum(pred(n5),succ(n4)),n9) = sK21
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6157,f72]) ).
fof(f6157,plain,
( sK21 = sum(sum(pred(n5),succ(n4)),sum(n3,n6))
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6156,f209]) ).
fof(f6156,plain,
( sum(sum(pred(n5),succ(n4)),sum(pred(n4),n6)) = sK21
| ~ spl22_10
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6155,f266]) ).
fof(f6155,plain,
( sum(sum(pred(n5),succ(sK9)),sum(pred(sK9),n6)) = sK21
| ~ spl22_13 ),
inference(forward_demodulation,[],[f6154,f44]) ).
fof(f6154,plain,
( sum(sum(pred(n5),succ(sK9)),sum(pred(sK9),succ(n5))) = sK21
| ~ spl22_13 ),
inference(forward_demodulation,[],[f153,f279]) ).
fof(f6127,plain,
( ~ spl22_10
| ~ spl22_19
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6126]) ).
fof(f6126,plain,
( $false
| ~ spl22_10
| ~ spl22_19
| spl22_31 ),
inference(subsumption_resolution,[],[f6125,f6109]) ).
fof(f6109,plain,
( n5 != sK21
| ~ spl22_10
| ~ spl22_19
| spl22_31 ),
inference(backward_demodulation,[],[f352,f6108]) ).
fof(f6108,plain,
( n5 = sK5
| ~ spl22_10
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6107,f26]) ).
fof(f6107,plain,
( sum(n8,n8) = sK5
| ~ spl22_10
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6106,f79]) ).
fof(f6106,plain,
( sK5 = sum(n8,sum(n3,n5))
| ~ spl22_10
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6105,f209]) ).
fof(f6105,plain,
( sum(n8,sum(pred(n4),n5)) = sK5
| ~ spl22_10
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6104,f208]) ).
fof(f6104,plain,
( sK5 = sum(n8,sum(pred(n4),succ(n4)))
| ~ spl22_10
| ~ spl22_19 ),
inference(backward_demodulation,[],[f6099,f266]) ).
fof(f6099,plain,
( sum(n8,sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6098,f79]) ).
fof(f6098,plain,
( sK5 = sum(sum(n3,n5),sum(pred(sK9),succ(sK9)))
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6097,f209]) ).
fof(f6097,plain,
( sK5 = sum(sum(pred(n4),n5),sum(pred(sK9),succ(sK9)))
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6094,f208]) ).
fof(f6094,plain,
( sK5 = sum(sum(pred(n4),succ(n4)),sum(pred(sK9),succ(sK9)))
| ~ spl22_19 ),
inference(backward_demodulation,[],[f201,f303]) ).
fof(f6125,plain,
( n5 = sK21
| ~ spl22_10
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6124,f26]) ).
fof(f6124,plain,
( sum(n8,n8) = sK21
| ~ spl22_10
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6123,f79]) ).
fof(f6123,plain,
( sum(sum(n3,n5),n8) = sK21
| ~ spl22_10
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6122,f208]) ).
fof(f6122,plain,
( sum(sum(n3,succ(n4)),n8) = sK21
| ~ spl22_10
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6121,f79]) ).
fof(f6121,plain,
( sum(sum(n3,succ(n4)),sum(n3,n5)) = sK21
| ~ spl22_10
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6120,f209]) ).
fof(f6120,plain,
( sum(sum(pred(n4),succ(n4)),sum(pred(n4),n5)) = sK21
| ~ spl22_10
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6119,f266]) ).
fof(f6119,plain,
( sum(sum(pred(n4),succ(sK9)),sum(pred(sK9),n5)) = sK21
| ~ spl22_19 ),
inference(forward_demodulation,[],[f6118,f208]) ).
fof(f6118,plain,
( sum(sum(pred(n4),succ(sK9)),sum(pred(sK9),succ(n4))) = sK21
| ~ spl22_19 ),
inference(forward_demodulation,[],[f153,f303]) ).
fof(f6092,plain,
( ~ spl22_5
| ~ spl22_14
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6091]) ).
fof(f6091,plain,
( $false
| ~ spl22_5
| ~ spl22_14
| spl22_31 ),
inference(subsumption_resolution,[],[f6090,f6078]) ).
fof(f6078,plain,
( n4 != sK21
| ~ spl22_5
| ~ spl22_14
| spl22_31 ),
inference(backward_demodulation,[],[f352,f6076]) ).
fof(f6076,plain,
( n4 = sK5
| ~ spl22_5
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6075,f96]) ).
fof(f96,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6075,plain,
( sum(n4,n0) = sK5
| ~ spl22_5
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6074,f107]) ).
fof(f6074,plain,
( sK5 = sum(n4,sum(n10,n1))
| ~ spl22_5
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6073,f225]) ).
fof(f6073,plain,
( sK5 = sum(n4,sum(pred(n0),n1))
| ~ spl22_5
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6072,f78]) ).
fof(f6072,plain,
( sK5 = sum(n4,sum(pred(n0),succ(n0)))
| ~ spl22_5
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6038,f246]) ).
fof(f6038,plain,
( sK5 = sum(n4,sum(pred(sK9),succ(sK9)))
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6037,f120]) ).
fof(f6037,plain,
( sK5 = sum(sum(n1,n3),sum(pred(sK9),succ(sK9)))
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6036,f56]) ).
fof(f6036,plain,
( sK5 = sum(sum(pred(n2),n3),sum(pred(sK9),succ(sK9)))
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6035,f130]) ).
fof(f6035,plain,
( sK5 = sum(sum(pred(n2),succ(n2)),sum(pred(sK9),succ(sK9)))
| ~ spl22_14 ),
inference(forward_demodulation,[],[f201,f283]) ).
fof(f283,plain,
( n2 = sK1
| ~ spl22_14 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl22_14
<=> n2 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
fof(f6090,plain,
( n4 = sK21
| ~ spl22_5
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6089,f142]) ).
fof(f6089,plain,
( sum(n2,n2) = sK21
| ~ spl22_5
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6088,f197]) ).
fof(f6088,plain,
( sum(sum(n1,n1),n2) = sK21
| ~ spl22_5
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6087,f78]) ).
fof(f6087,plain,
( sum(sum(n1,succ(n0)),n2) = sK21
| ~ spl22_5
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6086,f215]) ).
fof(f6086,plain,
( sum(sum(n1,succ(n0)),sum(n10,n3)) = sK21
| ~ spl22_5
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6085,f225]) ).
fof(f6085,plain,
( sum(sum(n1,succ(n0)),sum(pred(n0),n3)) = sK21
| ~ spl22_5
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6034,f246]) ).
fof(f6034,plain,
( sum(sum(n1,succ(sK9)),sum(pred(sK9),n3)) = sK21
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5990,f56]) ).
fof(f5990,plain,
( sum(sum(pred(n2),succ(sK9)),sum(pred(sK9),n3)) = sK21
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5989,f130]) ).
fof(f5989,plain,
( sum(sum(pred(n2),succ(sK9)),sum(pred(sK9),succ(n2))) = sK21
| ~ spl22_14 ),
inference(forward_demodulation,[],[f153,f283]) ).
fof(f6061,plain,
( ~ spl22_4
| ~ spl22_14
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6060]) ).
fof(f6060,plain,
( $false
| ~ spl22_4
| ~ spl22_14
| spl22_31 ),
inference(subsumption_resolution,[],[f6059,f6048]) ).
fof(f6048,plain,
( n9 != sK21
| ~ spl22_4
| ~ spl22_14
| spl22_31 ),
inference(backward_demodulation,[],[f352,f6046]) ).
fof(f6046,plain,
( n9 = sK5
| ~ spl22_4
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6045,f109]) ).
fof(f6045,plain,
( sum(n4,n5) = sK5
| ~ spl22_4
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6044,f204]) ).
fof(f6044,plain,
( sK5 = sum(n4,sum(n7,n9))
| ~ spl22_4
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6043,f60]) ).
fof(f6043,plain,
( sK5 = sum(n4,sum(pred(n8),n9))
| ~ spl22_4
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6042,f40]) ).
fof(f6042,plain,
( sK5 = sum(n4,sum(pred(n8),succ(n8)))
| ~ spl22_4
| ~ spl22_14 ),
inference(backward_demodulation,[],[f6038,f242]) ).
fof(f6059,plain,
( n9 = sK21
| ~ spl22_4
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6058,f67]) ).
fof(f6058,plain,
( sum(n10,n10) = sK21
| ~ spl22_4
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6057,f58]) ).
fof(f58,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f6057,plain,
( sum(sum(n1,n9),n10) = sK21
| ~ spl22_4
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6056,f40]) ).
fof(f6056,plain,
( sum(sum(n1,succ(n8)),n10) = sK21
| ~ spl22_4
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6055,f212]) ).
fof(f212,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6055,plain,
( sum(sum(n1,succ(n8)),sum(n7,n3)) = sK21
| ~ spl22_4
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6041,f60]) ).
fof(f6041,plain,
( sum(sum(n1,succ(n8)),sum(pred(n8),n3)) = sK21
| ~ spl22_4
| ~ spl22_14 ),
inference(backward_demodulation,[],[f6034,f242]) ).
fof(f6033,plain,
( ~ spl22_10
| ~ spl22_14
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f6032]) ).
fof(f6032,plain,
( $false
| ~ spl22_10
| ~ spl22_14
| spl22_31 ),
inference(subsumption_resolution,[],[f6031,f6014]) ).
fof(f6014,plain,
( n1 != sK5
| ~ spl22_10
| ~ spl22_14
| spl22_31 ),
inference(backward_demodulation,[],[f352,f6013]) ).
fof(f6013,plain,
( n1 = sK21
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6012,f11]) ).
fof(f11,plain,
n1 = sum(n6,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6012,plain,
( sum(n6,n6) = sK21
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6011,f108]) ).
fof(f108,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6011,plain,
( sum(sum(n1,n5),n6) = sK21
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6010,f56]) ).
fof(f6010,plain,
( sum(sum(pred(n2),n5),n6) = sK21
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6009,f208]) ).
fof(f6009,plain,
( sum(sum(pred(n2),succ(n4)),n6) = sK21
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6008,f157]) ).
fof(f157,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6008,plain,
( sum(sum(pred(n2),succ(n4)),sum(n3,n3)) = sK21
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6007,f209]) ).
fof(f6007,plain,
( sum(sum(pred(n2),succ(n4)),sum(pred(n4),n3)) = sK21
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5990,f266]) ).
fof(f6031,plain,
( n1 = sK5
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6030,f125]) ).
fof(f125,plain,
n1 = sum(n4,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f6030,plain,
( sum(n4,n8) = sK5
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6029,f120]) ).
fof(f6029,plain,
( sK5 = sum(sum(n1,n3),n8)
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6028,f56]) ).
fof(f6028,plain,
( sum(sum(pred(n2),n3),n8) = sK5
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6027,f130]) ).
fof(f6027,plain,
( sK5 = sum(sum(pred(n2),succ(n2)),n8)
| ~ spl22_10
| ~ spl22_14 ),
inference(forward_demodulation,[],[f6026,f283]) ).
fof(f6026,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n8)
| ~ spl22_10 ),
inference(forward_demodulation,[],[f6025,f79]) ).
fof(f6025,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n3,n5))
| ~ spl22_10 ),
inference(forward_demodulation,[],[f6024,f209]) ).
fof(f6024,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n4),n5))
| ~ spl22_10 ),
inference(forward_demodulation,[],[f6023,f208]) ).
fof(f6023,plain,
( sum(sum(pred(sK1),succ(sK1)),sum(pred(n4),succ(n4))) = sK5
| ~ spl22_10 ),
inference(forward_demodulation,[],[f201,f266]) ).
fof(f5999,plain,
( ~ spl22_9
| ~ spl22_14
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5998]) ).
fof(f5998,plain,
( $false
| ~ spl22_9
| ~ spl22_14
| spl22_31 ),
inference(subsumption_resolution,[],[f5997,f5978]) ).
fof(f5978,plain,
( n3 != sK21
| ~ spl22_9
| ~ spl22_14
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5977]) ).
fof(f5977,plain,
( n3 = sK5
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5976,f167]) ).
fof(f167,plain,
n3 = sum(n4,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f5976,plain,
( sum(n4,n10) = sK5
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5975,f120]) ).
fof(f5975,plain,
( sK5 = sum(sum(n1,n3),n10)
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5974,f56]) ).
fof(f5974,plain,
( sK5 = sum(sum(pred(n2),n3),n10)
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5973,f130]) ).
fof(f5973,plain,
( sK5 = sum(sum(pred(n2),succ(n2)),n10)
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5972,f283]) ).
fof(f5972,plain,
( sum(sum(pred(sK1),succ(sK1)),n10) = sK5
| ~ spl22_9 ),
inference(forward_demodulation,[],[f5971,f132]) ).
fof(f5971,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n4,n6))
| ~ spl22_9 ),
inference(forward_demodulation,[],[f5970,f73]) ).
fof(f5970,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n5),n6))
| ~ spl22_9 ),
inference(forward_demodulation,[],[f5969,f44]) ).
fof(f5969,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n5),succ(n5)))
| ~ spl22_9 ),
inference(forward_demodulation,[],[f201,f262]) ).
fof(f5997,plain,
( n3 = sK21
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5996,f216]) ).
fof(f5996,plain,
( sum(n7,n7) = sK21
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5995,f57]) ).
fof(f57,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5995,plain,
( sum(sum(n1,n6),n7) = sK21
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5994,f56]) ).
fof(f5994,plain,
( sum(sum(pred(n2),n6),n7) = sK21
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5993,f44]) ).
fof(f5993,plain,
( sum(sum(pred(n2),succ(n5)),n7) = sK21
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5992,f6]) ).
fof(f6,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5992,plain,
( sum(sum(pred(n2),succ(n5)),sum(n4,n3)) = sK21
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5991,f73]) ).
fof(f5991,plain,
( sum(sum(pred(n2),succ(n5)),sum(pred(n5),n3)) = sK21
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5990,f262]) ).
fof(f5958,plain,
( ~ spl22_6
| ~ spl22_18
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5957]) ).
fof(f5957,plain,
( $false
| ~ spl22_6
| ~ spl22_18
| spl22_31 ),
inference(subsumption_resolution,[],[f5956,f5948]) ).
fof(f5948,plain,
( n7 != sK5
| ~ spl22_6
| ~ spl22_18
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5946]) ).
fof(f5946,plain,
( n7 = sK21
| ~ spl22_6
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5945,f64]) ).
fof(f5945,plain,
( sum(n9,n9) = sK21
| ~ spl22_6
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5944,f67]) ).
fof(f5944,plain,
( sum(sum(n10,n10),n9) = sK21
| ~ spl22_6
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5943,f225]) ).
fof(f5943,plain,
( sum(sum(pred(n0),n10),n9) = sK21
| ~ spl22_6
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5942,f69]) ).
fof(f69,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f5942,plain,
( sum(sum(pred(n0),n10),sum(n8,n1)) = sK21
| ~ spl22_6
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5941,f78]) ).
fof(f5941,plain,
( sum(sum(pred(n0),n10),sum(n8,succ(n0))) = sK21
| ~ spl22_6
| ~ spl22_18 ),
inference(backward_demodulation,[],[f5871,f299]) ).
fof(f5871,plain,
( sum(sum(pred(sK1),n10),sum(n8,succ(sK1))) = sK21
| ~ spl22_6 ),
inference(forward_demodulation,[],[f5870,f114]) ).
fof(f114,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f5]) ).
fof(f5870,plain,
( sum(sum(pred(sK1),succ(n9)),sum(n8,succ(sK1))) = sK21
| ~ spl22_6 ),
inference(forward_demodulation,[],[f5869,f91]) ).
fof(f91,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f5]) ).
fof(f5869,plain,
( sum(sum(pred(sK1),succ(n9)),sum(pred(n9),succ(sK1))) = sK21
| ~ spl22_6 ),
inference(forward_demodulation,[],[f153,f250]) ).
fof(f250,plain,
( n9 = sK9
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl22_6
<=> n9 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
fof(f5956,plain,
( n7 = sK5
| ~ spl22_6
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5955,f93]) ).
fof(f93,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5955,plain,
( sum(n0,n7) = sK5
| ~ spl22_6
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5954,f107]) ).
fof(f5954,plain,
( sK5 = sum(sum(n10,n1),n7)
| ~ spl22_6
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5953,f225]) ).
fof(f5953,plain,
( sK5 = sum(sum(pred(n0),n1),n7)
| ~ spl22_6
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5952,f78]) ).
fof(f5952,plain,
( sK5 = sum(sum(pred(n0),succ(n0)),n7)
| ~ spl22_6
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5875,f299]) ).
fof(f5875,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n7)
| ~ spl22_6 ),
inference(forward_demodulation,[],[f5874,f24]) ).
fof(f5874,plain,
( sum(sum(pred(sK1),succ(sK1)),sum(n8,n10)) = sK5
| ~ spl22_6 ),
inference(forward_demodulation,[],[f5873,f91]) ).
fof(f5873,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n9),n10))
| ~ spl22_6 ),
inference(forward_demodulation,[],[f5872,f114]) ).
fof(f5872,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n9),succ(n9)))
| ~ spl22_6 ),
inference(forward_demodulation,[],[f201,f250]) ).
fof(f5930,plain,
( ~ spl22_6
| ~ spl22_19
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5929]) ).
fof(f5929,plain,
( $false
| ~ spl22_6
| ~ spl22_19
| spl22_31 ),
inference(subsumption_resolution,[],[f5928,f5917]) ).
fof(f5917,plain,
( n4 != sK21
| ~ spl22_6
| ~ spl22_19
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5915]) ).
fof(f5915,plain,
( n4 = sK5
| ~ spl22_6
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5914,f82]) ).
fof(f82,plain,
n4 = sum(n8,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5914,plain,
( sum(n8,n7) = sK5
| ~ spl22_6
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5913,f79]) ).
fof(f5913,plain,
( sum(sum(n3,n5),n7) = sK5
| ~ spl22_6
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5912,f209]) ).
fof(f5912,plain,
( sK5 = sum(sum(pred(n4),n5),n7)
| ~ spl22_6
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5911,f208]) ).
fof(f5911,plain,
( sK5 = sum(sum(pred(n4),succ(n4)),n7)
| ~ spl22_6
| ~ spl22_19 ),
inference(backward_demodulation,[],[f5875,f303]) ).
fof(f5928,plain,
( n4 = sK21
| ~ spl22_6
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5927,f142]) ).
fof(f5927,plain,
( sum(n2,n2) = sK21
| ~ spl22_6
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5926,f172]) ).
fof(f172,plain,
n2 = sum(n3,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f5926,plain,
( sum(sum(n3,n10),n2) = sK21
| ~ spl22_6
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5925,f209]) ).
fof(f5925,plain,
( sum(sum(pred(n4),n10),n2) = sK21
| ~ spl22_6
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5924,f173]) ).
fof(f5924,plain,
( sum(sum(pred(n4),n10),sum(n8,n5)) = sK21
| ~ spl22_6
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5910,f208]) ).
fof(f5910,plain,
( sK21 = sum(sum(pred(n4),n10),sum(n8,succ(n4)))
| ~ spl22_6
| ~ spl22_19 ),
inference(backward_demodulation,[],[f5871,f303]) ).
fof(f5895,plain,
( ~ spl22_6
| ~ spl22_14
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5894]) ).
fof(f5894,plain,
( $false
| ~ spl22_6
| ~ spl22_14
| spl22_31 ),
inference(subsumption_resolution,[],[f5893,f5889]) ).
fof(f5889,plain,
( n0 != sK5
| ~ spl22_6
| ~ spl22_14
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5888]) ).
fof(f5888,plain,
( n0 = sK21
| ~ spl22_6
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5887,f219]) ).
fof(f5887,plain,
( sum(n0,n0) = sK21
| ~ spl22_6
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5886,f164]) ).
fof(f164,plain,
n0 = sum(n1,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f5886,plain,
( sum(sum(n1,n10),n0) = sK21
| ~ spl22_6
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5885,f56]) ).
fof(f5885,plain,
( sum(sum(pred(n2),n10),n0) = sK21
| ~ spl22_6
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5884,f42]) ).
fof(f42,plain,
n0 = sum(n8,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5884,plain,
( sum(sum(pred(n2),n10),sum(n8,n3)) = sK21
| ~ spl22_6
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5882,f130]) ).
fof(f5882,plain,
( sum(sum(pred(n2),n10),sum(n8,succ(n2))) = sK21
| ~ spl22_6
| ~ spl22_14 ),
inference(backward_demodulation,[],[f5871,f283]) ).
fof(f5893,plain,
( n0 = sK5
| ~ spl22_6
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5892,f75]) ).
fof(f75,plain,
n0 = sum(n4,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5892,plain,
( sum(n4,n7) = sK5
| ~ spl22_6
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5891,f120]) ).
fof(f5891,plain,
( sum(sum(n1,n3),n7) = sK5
| ~ spl22_6
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5890,f56]) ).
fof(f5890,plain,
( sK5 = sum(sum(pred(n2),n3),n7)
| ~ spl22_6
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5883,f130]) ).
fof(f5883,plain,
( sK5 = sum(sum(pred(n2),succ(n2)),n7)
| ~ spl22_6
| ~ spl22_14 ),
inference(backward_demodulation,[],[f5875,f283]) ).
fof(f5861,plain,
( ~ spl22_6
| ~ spl22_13
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5860]) ).
fof(f5860,plain,
( $false
| ~ spl22_6
| ~ spl22_13
| spl22_31 ),
inference(subsumption_resolution,[],[f5859,f5850]) ).
fof(f5850,plain,
( n6 != sK21
| ~ spl22_6
| ~ spl22_13
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5849]) ).
fof(f5849,plain,
( n6 = sK5
| ~ spl22_6
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5848,f214]) ).
fof(f214,plain,
n6 = sum(n10,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5848,plain,
( sum(n10,n7) = sK5
| ~ spl22_6
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5847,f24]) ).
fof(f5847,plain,
( sK5 = sum(n10,sum(n8,n10))
| ~ spl22_6
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5846,f91]) ).
fof(f5846,plain,
( sK5 = sum(n10,sum(pred(n9),n10))
| ~ spl22_6
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5845,f114]) ).
fof(f5845,plain,
( sK5 = sum(n10,sum(pred(n9),succ(n9)))
| ~ spl22_6
| ~ spl22_13 ),
inference(backward_demodulation,[],[f5842,f250]) ).
fof(f5842,plain,
( sK5 = sum(n10,sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5841,f132]) ).
fof(f5841,plain,
( sK5 = sum(sum(n4,n6),sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5840,f73]) ).
fof(f5840,plain,
( sK5 = sum(sum(pred(n5),n6),sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5839,f44]) ).
fof(f5839,plain,
( sum(sum(pred(n5),succ(n5)),sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_13 ),
inference(forward_demodulation,[],[f201,f279]) ).
fof(f5859,plain,
( n6 = sK21
| ~ spl22_6
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5858,f157]) ).
fof(f5858,plain,
( sum(n3,n3) = sK21
| ~ spl22_6
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5857,f167]) ).
fof(f5857,plain,
( sum(sum(n4,n10),n3) = sK21
| ~ spl22_6
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5856,f114]) ).
fof(f5856,plain,
( sum(sum(n4,succ(n9)),n3) = sK21
| ~ spl22_6
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5855,f210]) ).
fof(f210,plain,
n3 = sum(n8,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5855,plain,
( sum(sum(n4,succ(n9)),sum(n8,n6)) = sK21
| ~ spl22_6
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5844,f91]) ).
fof(f5844,plain,
( sum(sum(n4,succ(n9)),sum(pred(n9),n6)) = sK21
| ~ spl22_6
| ~ spl22_13 ),
inference(backward_demodulation,[],[f5838,f250]) ).
fof(f5838,plain,
( sum(sum(n4,succ(sK9)),sum(pred(sK9),n6)) = sK21
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5837,f73]) ).
fof(f5837,plain,
( sum(sum(pred(n5),succ(sK9)),sum(pred(sK9),n6)) = sK21
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5836,f44]) ).
fof(f5836,plain,
( sum(sum(pred(n5),succ(sK9)),sum(pred(sK9),succ(n5))) = sK21
| ~ spl22_13 ),
inference(forward_demodulation,[],[f153,f279]) ).
fof(f5830,plain,
( ~ spl22_4
| ~ spl22_16
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5829]) ).
fof(f5829,plain,
( $false
| ~ spl22_4
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f5828,f5821]) ).
fof(f5821,plain,
( n0 != sK21
| ~ spl22_4
| ~ spl22_16
| spl22_31 ),
inference(forward_demodulation,[],[f352,f5815]) ).
fof(f5815,plain,
( n0 = sK5
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5814,f18]) ).
fof(f18,plain,
n0 = sum(n6,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f5814,plain,
( sum(n6,n5) = sK5
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5813,f204]) ).
fof(f5813,plain,
( sK5 = sum(n6,sum(n7,n9))
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5812,f60]) ).
fof(f5812,plain,
( sK5 = sum(n6,sum(pred(n8),n9))
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5811,f40]) ).
fof(f5811,plain,
( sum(n6,sum(pred(n8),succ(n8))) = sK5
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5694,f242]) ).
fof(f5694,plain,
( sK5 = sum(n6,sum(pred(sK9),succ(sK9)))
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5693,f52]) ).
fof(f52,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5693,plain,
( sK5 = sum(sum(n2,n4),sum(pred(sK9),succ(sK9)))
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5692,f70]) ).
fof(f70,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5692,plain,
( sum(sum(pred(n3),n4),sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5688,f100]) ).
fof(f100,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f5]) ).
fof(f5688,plain,
( sK5 = sum(sum(pred(n3),succ(n3)),sum(pred(sK9),succ(sK9)))
| ~ spl22_16 ),
inference(backward_demodulation,[],[f201,f291]) ).
fof(f291,plain,
( n3 = sK1
| ~ spl22_16 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl22_16
<=> n3 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).
fof(f5828,plain,
( n0 = sK21
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5827,f219]) ).
fof(f5827,plain,
( sum(n0,n0) = sK21
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5826,f205]) ).
fof(f205,plain,
n0 = sum(n2,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f5826,plain,
( sum(sum(n2,n9),n0) = sK21
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5825,f70]) ).
fof(f5825,plain,
( sum(sum(pred(n3),n9),n0) = sK21
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5824,f40]) ).
fof(f5824,plain,
( sK21 = sum(sum(pred(n3),succ(n8)),n0)
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5823,f202]) ).
fof(f202,plain,
n0 = sum(n7,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5823,plain,
( sum(sum(pred(n3),succ(n8)),sum(n7,n4)) = sK21
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5822,f60]) ).
fof(f5822,plain,
( sum(sum(pred(n3),succ(n8)),sum(pred(n8),n4)) = sK21
| ~ spl22_4
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5712,f242]) ).
fof(f5712,plain,
( sum(sum(pred(n3),succ(sK9)),sum(pred(sK9),n4)) = sK21
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5711,f100]) ).
fof(f5711,plain,
( sum(sum(pred(n3),succ(sK9)),sum(pred(sK9),succ(n3))) = sK21
| ~ spl22_16 ),
inference(forward_demodulation,[],[f153,f291]) ).
fof(f5804,plain,
( ~ spl22_5
| ~ spl22_16
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5803]) ).
fof(f5803,plain,
( $false
| ~ spl22_5
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f5802,f5794]) ).
fof(f5794,plain,
( n6 != sK21
| ~ spl22_5
| ~ spl22_16
| spl22_31 ),
inference(forward_demodulation,[],[f352,f5789]) ).
fof(f5789,plain,
( n6 = sK5
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5788,f213]) ).
fof(f213,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f5788,plain,
( sum(n6,n0) = sK5
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5787,f107]) ).
fof(f5787,plain,
( sK5 = sum(n6,sum(n10,n1))
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5786,f225]) ).
fof(f5786,plain,
( sum(n6,sum(pred(n0),n1)) = sK5
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5785,f78]) ).
fof(f5785,plain,
( sK5 = sum(n6,sum(pred(n0),succ(n0)))
| ~ spl22_5
| ~ spl22_16 ),
inference(backward_demodulation,[],[f5694,f246]) ).
fof(f5802,plain,
( n6 = sK21
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5801,f157]) ).
fof(f5801,plain,
( sum(n3,n3) = sK21
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5800,f53]) ).
fof(f53,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f5800,plain,
( sum(sum(n2,n1),n3) = sK21
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5799,f70]) ).
fof(f5799,plain,
( sK21 = sum(sum(pred(n3),n1),n3)
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5798,f78]) ).
fof(f5798,plain,
( sK21 = sum(sum(pred(n3),succ(n0)),n3)
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5797,f176]) ).
fof(f176,plain,
n3 = sum(n10,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5797,plain,
( sum(sum(pred(n3),succ(n0)),sum(n10,n4)) = sK21
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5796,f225]) ).
fof(f5796,plain,
( sum(sum(pred(n3),succ(n0)),sum(pred(n0),n4)) = sK21
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5712,f246]) ).
fof(f5776,plain,
( ~ spl22_9
| ~ spl22_16
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5775]) ).
fof(f5775,plain,
( $false
| ~ spl22_9
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f5774,f5761]) ).
fof(f5761,plain,
( n5 != sK5
| ~ spl22_9
| ~ spl22_16
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5760]) ).
fof(f5760,plain,
( n5 = sK21
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5759,f26]) ).
fof(f5759,plain,
( sum(n8,n8) = sK21
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5758,f41]) ).
fof(f41,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5758,plain,
( sK21 = sum(sum(n2,n6),n8)
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5757,f70]) ).
fof(f5757,plain,
( sum(sum(pred(n3),n6),n8) = sK21
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5756,f44]) ).
fof(f5756,plain,
( sK21 = sum(sum(pred(n3),succ(n5)),n8)
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5755,f99]) ).
fof(f5755,plain,
( sum(sum(pred(n3),succ(n5)),sum(n4,n4)) = sK21
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5754,f73]) ).
fof(f5754,plain,
( sum(sum(pred(n3),succ(n5)),sum(pred(n5),n4)) = sK21
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5712,f262]) ).
fof(f5774,plain,
( n5 = sK5
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5773,f16]) ).
fof(f16,plain,
n5 = sum(n6,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f5773,plain,
( sum(n6,n10) = sK5
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5772,f132]) ).
fof(f5772,plain,
( sum(n6,sum(n4,n6)) = sK5
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5771,f73]) ).
fof(f5771,plain,
( sK5 = sum(n6,sum(pred(n5),n6))
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5770,f44]) ).
fof(f5770,plain,
( sK5 = sum(n6,sum(pred(n5),succ(n5)))
| ~ spl22_9
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5694,f262]) ).
fof(f5750,plain,
( ~ spl22_10
| ~ spl22_16
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5749]) ).
fof(f5749,plain,
( $false
| ~ spl22_10
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f5748,f5733]) ).
fof(f5733,plain,
( n3 != sK21
| ~ spl22_10
| ~ spl22_16
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5732]) ).
fof(f5732,plain,
( n3 = sK5
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5731,f62]) ).
fof(f5731,plain,
( sum(n6,n8) = sK5
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5730,f79]) ).
fof(f5730,plain,
( sum(n6,sum(n3,n5)) = sK5
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5729,f209]) ).
fof(f5729,plain,
( sK5 = sum(n6,sum(pred(n4),n5))
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5728,f208]) ).
fof(f5728,plain,
( sK5 = sum(n6,sum(pred(n4),succ(n4)))
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5694,f266]) ).
fof(f5748,plain,
( n3 = sK21
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5747,f216]) ).
fof(f5747,plain,
( sum(n7,n7) = sK21
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5746,f51]) ).
fof(f51,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f5746,plain,
( sum(sum(n2,n5),n7) = sK21
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5745,f70]) ).
fof(f5745,plain,
( sK21 = sum(sum(pred(n3),n5),n7)
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5744,f208]) ).
fof(f5744,plain,
( sum(sum(pred(n3),succ(n4)),n7) = sK21
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5743,f223]) ).
fof(f223,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5743,plain,
( sum(sum(pred(n3),succ(n4)),sum(n3,n4)) = sK21
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5742,f209]) ).
fof(f5742,plain,
( sum(sum(pred(n3),succ(n4)),sum(pred(n4),n4)) = sK21
| ~ spl22_10
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5712,f266]) ).
fof(f5721,plain,
( ~ spl22_6
| ~ spl22_16
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5720]) ).
fof(f5720,plain,
( $false
| ~ spl22_6
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f5719,f5704]) ).
fof(f5704,plain,
( n2 != sK21
| ~ spl22_6
| ~ spl22_16
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5702]) ).
fof(f5702,plain,
( n2 = sK5
| ~ spl22_6
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5701,f110]) ).
fof(f110,plain,
n2 = sum(n6,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5701,plain,
( sum(n6,n7) = sK5
| ~ spl22_6
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5700,f24]) ).
fof(f5700,plain,
( sK5 = sum(n6,sum(n8,n10))
| ~ spl22_6
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5699,f91]) ).
fof(f5699,plain,
( sum(n6,sum(pred(n9),n10)) = sK5
| ~ spl22_6
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5698,f114]) ).
fof(f5698,plain,
( sK5 = sum(n6,sum(pred(n9),succ(n9)))
| ~ spl22_6
| ~ spl22_16 ),
inference(backward_demodulation,[],[f5694,f250]) ).
fof(f5719,plain,
( n2 = sK21
| ~ spl22_6
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5718,f197]) ).
fof(f5718,plain,
( sum(n1,n1) = sK21
| ~ spl22_6
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5717,f65]) ).
fof(f65,plain,
n1 = sum(n2,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f5717,plain,
( sum(sum(n2,n10),n1) = sK21
| ~ spl22_6
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5716,f70]) ).
fof(f5716,plain,
( sum(sum(pred(n3),n10),n1) = sK21
| ~ spl22_6
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5715,f114]) ).
fof(f5715,plain,
( sK21 = sum(sum(pred(n3),succ(n9)),n1)
| ~ spl22_6
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5714,f179]) ).
fof(f179,plain,
n1 = sum(n8,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5714,plain,
( sK21 = sum(sum(pred(n3),succ(n9)),sum(n8,n4))
| ~ spl22_6
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5713,f91]) ).
fof(f5713,plain,
( sum(sum(pred(n3),succ(n9)),sum(pred(n9),n4)) = sK21
| ~ spl22_6
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5712,f250]) ).
fof(f5680,plain,
( ~ spl22_11
| ~ spl22_18
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5679]) ).
fof(f5679,plain,
( $false
| ~ spl22_11
| ~ spl22_18
| spl22_31 ),
inference(subsumption_resolution,[],[f5678,f5670]) ).
fof(f5670,plain,
( n1 != sK5
| ~ spl22_11
| ~ spl22_18
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5668]) ).
fof(f5668,plain,
( n1 = sK21
| ~ spl22_11
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5667,f11]) ).
fof(f5667,plain,
( sum(n6,n6) = sK21
| ~ spl22_11
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5666,f214]) ).
fof(f5666,plain,
( sum(sum(n10,n7),n6) = sK21
| ~ spl22_11
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5665,f225]) ).
fof(f5665,plain,
( sum(sum(pred(n0),n7),n6) = sK21
| ~ spl22_11
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5664,f156]) ).
fof(f156,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f5664,plain,
( sum(sum(pred(n0),n7),sum(n5,n1)) = sK21
| ~ spl22_11
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5663,f78]) ).
fof(f5663,plain,
( sum(sum(pred(n0),n7),sum(n5,succ(n0))) = sK21
| ~ spl22_11
| ~ spl22_18 ),
inference(backward_demodulation,[],[f5575,f299]) ).
fof(f5575,plain,
( sum(sum(pred(sK1),n7),sum(n5,succ(sK1))) = sK21
| ~ spl22_11 ),
inference(forward_demodulation,[],[f5574,f119]) ).
fof(f119,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f5]) ).
fof(f5574,plain,
( sum(sum(pred(sK1),succ(n6)),sum(n5,succ(sK1))) = sK21
| ~ spl22_11 ),
inference(forward_demodulation,[],[f5573,f211]) ).
fof(f211,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5573,plain,
( sum(sum(pred(sK1),succ(n6)),sum(pred(n6),succ(sK1))) = sK21
| ~ spl22_11 ),
inference(forward_demodulation,[],[f153,f270]) ).
fof(f270,plain,
( n6 = sK9
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl22_11
<=> n6 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).
fof(f5678,plain,
( n1 = sK5
| ~ spl22_11
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5677,f21]) ).
fof(f5677,plain,
( sum(n0,n1) = sK5
| ~ spl22_11
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5676,f107]) ).
fof(f5676,plain,
( sum(sum(n10,n1),n1) = sK5
| ~ spl22_11
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5675,f225]) ).
fof(f5675,plain,
( sK5 = sum(sum(pred(n0),n1),n1)
| ~ spl22_11
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5674,f78]) ).
fof(f5674,plain,
( sK5 = sum(sum(pred(n0),succ(n0)),n1)
| ~ spl22_11
| ~ spl22_18 ),
inference(forward_demodulation,[],[f5572,f299]) ).
fof(f5572,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n1)
| ~ spl22_11 ),
inference(forward_demodulation,[],[f5571,f151]) ).
fof(f151,plain,
n1 = sum(n5,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5571,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n5,n7))
| ~ spl22_11 ),
inference(forward_demodulation,[],[f5570,f211]) ).
fof(f5570,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n6),n7))
| ~ spl22_11 ),
inference(forward_demodulation,[],[f5569,f119]) ).
fof(f5569,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n6),succ(n6)))
| ~ spl22_11 ),
inference(forward_demodulation,[],[f201,f270]) ).
fof(f5655,plain,
( ~ spl22_11
| ~ spl22_13
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5654]) ).
fof(f5654,plain,
( $false
| ~ spl22_11
| ~ spl22_13
| spl22_31 ),
inference(subsumption_resolution,[],[f5653,f5642]) ).
fof(f5642,plain,
( n0 != sK21
| ~ spl22_11
| ~ spl22_13
| spl22_31 ),
inference(forward_demodulation,[],[f352,f5635]) ).
fof(f5635,plain,
( n0 = sK5
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5634,f107]) ).
fof(f5634,plain,
( sum(n10,n1) = sK5
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5633,f132]) ).
fof(f5633,plain,
( sum(sum(n4,n6),n1) = sK5
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5632,f73]) ).
fof(f5632,plain,
( sK5 = sum(sum(pred(n5),n6),n1)
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5631,f44]) ).
fof(f5631,plain,
( sK5 = sum(sum(pred(n5),succ(n5)),n1)
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5572,f279]) ).
fof(f5653,plain,
( n0 = sK21
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5652,f219]) ).
fof(f5652,plain,
( sum(n0,n0) = sK21
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5651,f75]) ).
fof(f5651,plain,
( sum(sum(n4,n7),n0) = sK21
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5650,f73]) ).
fof(f5650,plain,
( sK21 = sum(sum(pred(n5),n7),n0)
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5649,f133]) ).
fof(f133,plain,
n0 = sum(n5,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5649,plain,
( sum(sum(pred(n5),n7),sum(n5,n6)) = sK21
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5648,f44]) ).
fof(f5648,plain,
( sK21 = sum(sum(pred(n5),n7),sum(n5,succ(n5)))
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5575,f279]) ).
fof(f5630,plain,
( ~ spl22_11
| ~ spl22_19
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5629]) ).
fof(f5629,plain,
( $false
| ~ spl22_11
| ~ spl22_19
| spl22_31 ),
inference(subsumption_resolution,[],[f5628,f5611]) ).
fof(f5611,plain,
( n9 != sK21
| ~ spl22_11
| ~ spl22_19
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5609]) ).
fof(f5609,plain,
( n9 = sK5
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5608,f69]) ).
fof(f5608,plain,
( sum(n8,n1) = sK5
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5607,f79]) ).
fof(f5607,plain,
( sK5 = sum(sum(n3,n5),n1)
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5606,f209]) ).
fof(f5606,plain,
( sK5 = sum(sum(pred(n4),n5),n1)
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5605,f208]) ).
fof(f5605,plain,
( sK5 = sum(sum(pred(n4),succ(n4)),n1)
| ~ spl22_11
| ~ spl22_19 ),
inference(backward_demodulation,[],[f5572,f303]) ).
fof(f5628,plain,
( n9 = sK21
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5627,f67]) ).
fof(f5627,plain,
( sum(n10,n10) = sK21
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5626,f68]) ).
fof(f68,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5626,plain,
( sum(sum(n3,n7),n10) = sK21
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5625,f209]) ).
fof(f5625,plain,
( sum(sum(pred(n4),n7),n10) = sK21
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5624,f174]) ).
fof(f5624,plain,
( sum(sum(pred(n4),n7),sum(n5,n5)) = sK21
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5623,f208]) ).
fof(f5623,plain,
( sum(sum(pred(n4),n7),sum(n5,succ(n4))) = sK21
| ~ spl22_11
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5575,f303]) ).
fof(f5600,plain,
( ~ spl22_11
| ~ spl22_16
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5599]) ).
fof(f5599,plain,
( $false
| ~ spl22_11
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f5598,f5586]) ).
fof(f5586,plain,
( n7 != sK21
| ~ spl22_11
| ~ spl22_16
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5585]) ).
fof(f5585,plain,
( n7 = sK5
| ~ spl22_11
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5584,f198]) ).
fof(f5584,plain,
( sum(n6,n1) = sK5
| ~ spl22_11
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5583,f52]) ).
fof(f5583,plain,
( sK5 = sum(sum(n2,n4),n1)
| ~ spl22_11
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5582,f70]) ).
fof(f5582,plain,
( sK5 = sum(sum(pred(n3),n4),n1)
| ~ spl22_11
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5580,f100]) ).
fof(f5580,plain,
( sK5 = sum(sum(pred(n3),succ(n3)),n1)
| ~ spl22_11
| ~ spl22_16 ),
inference(backward_demodulation,[],[f5572,f291]) ).
fof(f5598,plain,
( n7 = sK21
| ~ spl22_11
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5597,f64]) ).
fof(f5597,plain,
( sum(n9,n9) = sK21
| ~ spl22_11
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5596,f14]) ).
fof(f14,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5596,plain,
( sum(sum(n2,n7),n9) = sK21
| ~ spl22_11
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5595,f70]) ).
fof(f5595,plain,
( sum(sum(pred(n3),n7),n9) = sK21
| ~ spl22_11
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5594,f181]) ).
fof(f181,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5594,plain,
( sum(sum(pred(n3),n7),sum(n5,n4)) = sK21
| ~ spl22_11
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5581,f100]) ).
fof(f5581,plain,
( sK21 = sum(sum(pred(n3),n7),sum(n5,succ(n3)))
| ~ spl22_11
| ~ spl22_16 ),
inference(backward_demodulation,[],[f5575,f291]) ).
fof(f5568,plain,
( ~ spl22_11
| ~ spl22_14
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5567]) ).
fof(f5567,plain,
( $false
| ~ spl22_11
| ~ spl22_14
| spl22_31 ),
inference(subsumption_resolution,[],[f5566,f5554]) ).
fof(f5554,plain,
( n5 != sK21
| ~ spl22_11
| ~ spl22_14
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5553]) ).
fof(f5553,plain,
( n5 = sK5
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5552,f222]) ).
fof(f5552,plain,
( sum(n4,n1) = sK5
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5551,f151]) ).
fof(f5551,plain,
( sK5 = sum(n4,sum(n5,n7))
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5550,f211]) ).
fof(f5550,plain,
( sK5 = sum(n4,sum(pred(n6),n7))
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5549,f119]) ).
fof(f5549,plain,
( sK5 = sum(n4,sum(pred(n6),succ(n6)))
| ~ spl22_11
| ~ spl22_14 ),
inference(backward_demodulation,[],[f5544,f270]) ).
fof(f5544,plain,
( sK5 = sum(n4,sum(pred(sK9),succ(sK9)))
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5543,f120]) ).
fof(f5543,plain,
( sK5 = sum(sum(n1,n3),sum(pred(sK9),succ(sK9)))
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5542,f56]) ).
fof(f5542,plain,
( sK5 = sum(sum(pred(n2),n3),sum(pred(sK9),succ(sK9)))
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5531,f130]) ).
fof(f5531,plain,
( sK5 = sum(sum(pred(n2),succ(n2)),sum(pred(sK9),succ(sK9)))
| ~ spl22_14 ),
inference(backward_demodulation,[],[f201,f283]) ).
fof(f5566,plain,
( n5 = sK21
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5565,f26]) ).
fof(f5565,plain,
( sum(n8,n8) = sK21
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5564,f162]) ).
fof(f162,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5564,plain,
( sum(sum(n1,n7),n8) = sK21
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5563,f119]) ).
fof(f5563,plain,
( sum(sum(n1,succ(n6)),n8) = sK21
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5562,f10]) ).
fof(f10,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5562,plain,
( sum(sum(n1,succ(n6)),sum(n5,n3)) = sK21
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5548,f211]) ).
fof(f5548,plain,
( sum(sum(n1,succ(n6)),sum(pred(n6),n3)) = sK21
| ~ spl22_11
| ~ spl22_14 ),
inference(backward_demodulation,[],[f5541,f270]) ).
fof(f5541,plain,
( sum(sum(n1,succ(sK9)),sum(pred(sK9),n3)) = sK21
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5540,f56]) ).
fof(f5540,plain,
( sum(sum(pred(n2),succ(sK9)),sum(pred(sK9),n3)) = sK21
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5530,f130]) ).
fof(f5530,plain,
( sum(sum(pred(n2),succ(sK9)),sum(pred(sK9),succ(n2))) = sK21
| ~ spl22_14 ),
inference(backward_demodulation,[],[f153,f283]) ).
fof(f5529,plain,
( ~ spl22_6
| ~ spl22_21
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5528]) ).
fof(f5528,plain,
( $false
| ~ spl22_6
| ~ spl22_21
| spl22_31 ),
inference(subsumption_resolution,[],[f5527,f5516]) ).
fof(f5516,plain,
( n5 != sK21
| ~ spl22_6
| ~ spl22_21
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5513]) ).
fof(f5513,plain,
( n5 = sK5
| ~ spl22_6
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5512,f25]) ).
fof(f25,plain,
n5 = sum(n9,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5512,plain,
( sum(n9,n7) = sK5
| ~ spl22_6
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5511,f24]) ).
fof(f5511,plain,
( sK5 = sum(n9,sum(n8,n10))
| ~ spl22_6
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5510,f91]) ).
fof(f5510,plain,
( sK5 = sum(n9,sum(pred(n9),n10))
| ~ spl22_6
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5509,f114]) ).
fof(f5509,plain,
( sK5 = sum(n9,sum(pred(n9),succ(n9)))
| ~ spl22_6
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5332,f250]) ).
fof(f5332,plain,
( sK5 = sum(n9,sum(pred(sK9),succ(sK9)))
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5331,f63]) ).
fof(f5331,plain,
( sum(sum(n9,n0),sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5330,f86]) ).
fof(f5330,plain,
( sum(sum(pred(n10),n0),sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5329,f95]) ).
fof(f5329,plain,
( sK5 = sum(sum(pred(n10),succ(n10)),sum(pred(sK9),succ(sK9)))
| ~ spl22_21 ),
inference(forward_demodulation,[],[f201,f311]) ).
fof(f311,plain,
( n10 = sK1
| ~ spl22_21 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl22_21
<=> n10 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_21])]) ).
fof(f5527,plain,
( n5 = sK21
| ~ spl22_6
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5526,f26]) ).
fof(f5526,plain,
( sum(n8,n8) = sK21
| ~ spl22_6
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5525,f87]) ).
fof(f87,plain,
n8 = sum(n9,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f5525,plain,
( sum(sum(n9,n10),n8) = sK21
| ~ spl22_6
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5524,f114]) ).
fof(f5524,plain,
( sum(sum(n9,succ(n9)),n8) = sK21
| ~ spl22_6
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5523,f183]) ).
fof(f5523,plain,
( sum(sum(n9,succ(n9)),sum(n8,n0)) = sK21
| ~ spl22_6
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5522,f91]) ).
fof(f5522,plain,
( sum(sum(n9,succ(n9)),sum(pred(n9),n0)) = sK21
| ~ spl22_6
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5335,f250]) ).
fof(f5335,plain,
( sum(sum(n9,succ(sK9)),sum(pred(sK9),n0)) = sK21
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5334,f86]) ).
fof(f5334,plain,
( sum(sum(pred(n10),succ(sK9)),sum(pred(sK9),n0)) = sK21
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5333,f95]) ).
fof(f5333,plain,
( sum(sum(pred(n10),succ(sK9)),sum(pred(sK9),succ(n10))) = sK21
| ~ spl22_21 ),
inference(forward_demodulation,[],[f153,f311]) ).
fof(f5506,plain,
( ~ spl22_5
| ~ spl22_21
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5505]) ).
fof(f5505,plain,
( $false
| ~ spl22_5
| ~ spl22_21
| spl22_31 ),
inference(subsumption_resolution,[],[f5504,f5482]) ).
fof(f5482,plain,
( n9 = sK5
| ~ spl22_5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5481,f63]) ).
fof(f5481,plain,
( sum(n9,n0) = sK5
| ~ spl22_5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5480,f107]) ).
fof(f5480,plain,
( sum(n9,sum(n10,n1)) = sK5
| ~ spl22_5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5479,f225]) ).
fof(f5479,plain,
( sK5 = sum(n9,sum(pred(n0),n1))
| ~ spl22_5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5465,f78]) ).
fof(f5465,plain,
( sK5 = sum(n9,sum(pred(n0),succ(n0)))
| ~ spl22_5
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5332,f246]) ).
fof(f5504,plain,
( n9 != sK5
| ~ spl22_5
| ~ spl22_21
| spl22_31 ),
inference(forward_demodulation,[],[f352,f5471]) ).
fof(f5471,plain,
( n9 = sK21
| ~ spl22_5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5470,f67]) ).
fof(f5470,plain,
( sum(n10,n10) = sK21
| ~ spl22_5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5469,f185]) ).
fof(f5469,plain,
( sum(sum(n9,n1),n10) = sK21
| ~ spl22_5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5468,f78]) ).
fof(f5468,plain,
( sK21 = sum(sum(n9,succ(n0)),n10)
| ~ spl22_5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5467,f154]) ).
fof(f5467,plain,
( sum(sum(n9,succ(n0)),sum(n10,n0)) = sK21
| ~ spl22_5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5466,f225]) ).
fof(f5466,plain,
( sum(sum(n9,succ(n0)),sum(pred(n0),n0)) = sK21
| ~ spl22_5
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5335,f246]) ).
fof(f5455,plain,
( ~ spl22_4
| ~ spl22_21
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5454]) ).
fof(f5454,plain,
( $false
| ~ spl22_4
| ~ spl22_21
| spl22_31 ),
inference(subsumption_resolution,[],[f5453,f5423]) ).
fof(f5423,plain,
( n3 = sK5
| ~ spl22_4
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5422,f15]) ).
fof(f15,plain,
n3 = sum(n9,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f5422,plain,
( sum(n9,n5) = sK5
| ~ spl22_4
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5421,f204]) ).
fof(f5421,plain,
( sK5 = sum(n9,sum(n7,n9))
| ~ spl22_4
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5420,f60]) ).
fof(f5420,plain,
( sum(n9,sum(pred(n8),n9)) = sK5
| ~ spl22_4
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5413,f40]) ).
fof(f5413,plain,
( sK5 = sum(n9,sum(pred(n8),succ(n8)))
| ~ spl22_4
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5332,f242]) ).
fof(f5453,plain,
( n3 != sK5
| ~ spl22_4
| ~ spl22_21
| spl22_31 ),
inference(forward_demodulation,[],[f352,f5419]) ).
fof(f5419,plain,
( n3 = sK21
| ~ spl22_4
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5418,f216]) ).
fof(f5418,plain,
( sum(n7,n7) = sK21
| ~ spl22_4
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5417,f64]) ).
fof(f5417,plain,
( sum(sum(n9,n9),n7) = sK21
| ~ spl22_4
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5416,f40]) ).
fof(f5416,plain,
( sum(sum(n9,succ(n8)),n7) = sK21
| ~ spl22_4
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5415,f129]) ).
fof(f129,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f5415,plain,
( sum(sum(n9,succ(n8)),sum(n7,n0)) = sK21
| ~ spl22_4
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5414,f60]) ).
fof(f5414,plain,
( sum(sum(n9,succ(n8)),sum(pred(n8),n0)) = sK21
| ~ spl22_4
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5335,f242]) ).
fof(f5412,plain,
( ~ spl22_11
| ~ spl22_21
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5411]) ).
fof(f5411,plain,
( $false
| ~ spl22_11
| ~ spl22_21
| spl22_31 ),
inference(subsumption_resolution,[],[f5410,f5400]) ).
fof(f5400,plain,
( n10 != sK5
| ~ spl22_11
| ~ spl22_21
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5398]) ).
fof(f5398,plain,
( n10 = sK21
| ~ spl22_11
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5397,f174]) ).
fof(f5397,plain,
( sum(n5,n5) = sK21
| ~ spl22_11
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5396,f25]) ).
fof(f5396,plain,
( sum(sum(n9,n7),n5) = sK21
| ~ spl22_11
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5395,f119]) ).
fof(f5395,plain,
( sum(sum(n9,succ(n6)),n5) = sK21
| ~ spl22_11
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5394,f101]) ).
fof(f101,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f5394,plain,
( sum(sum(n9,succ(n6)),sum(n5,n0)) = sK21
| ~ spl22_11
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5393,f211]) ).
fof(f5393,plain,
( sum(sum(n9,succ(n6)),sum(pred(n6),n0)) = sK21
| ~ spl22_11
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5335,f270]) ).
fof(f5410,plain,
( n10 = sK5
| ~ spl22_11
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5409,f185]) ).
fof(f5409,plain,
( sum(n9,n1) = sK5
| ~ spl22_11
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5408,f151]) ).
fof(f5408,plain,
( sK5 = sum(n9,sum(n5,n7))
| ~ spl22_11
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5407,f211]) ).
fof(f5407,plain,
( sK5 = sum(n9,sum(pred(n6),n7))
| ~ spl22_11
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5392,f119]) ).
fof(f5392,plain,
( sum(n9,sum(pred(n6),succ(n6))) = sK5
| ~ spl22_11
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5332,f270]) ).
fof(f5382,plain,
( ~ spl22_9
| ~ spl22_21
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5381]) ).
fof(f5381,plain,
( $false
| ~ spl22_9
| ~ spl22_21
| spl22_31 ),
inference(subsumption_resolution,[],[f5380,f5374]) ).
fof(f5374,plain,
( n8 != sK5
| ~ spl22_9
| ~ spl22_21
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5372]) ).
fof(f5372,plain,
( n8 = sK21
| ~ spl22_9
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5371,f99]) ).
fof(f5371,plain,
( sum(n4,n4) = sK21
| ~ spl22_9
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5370,f137]) ).
fof(f137,plain,
n4 = sum(n9,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5370,plain,
( sum(sum(n9,n6),n4) = sK21
| ~ spl22_9
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5369,f44]) ).
fof(f5369,plain,
( sum(sum(n9,succ(n5)),n4) = sK21
| ~ spl22_9
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5368,f96]) ).
fof(f5368,plain,
( sum(sum(n9,succ(n5)),sum(n4,n0)) = sK21
| ~ spl22_9
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5367,f73]) ).
fof(f5367,plain,
( sum(sum(n9,succ(n5)),sum(pred(n5),n0)) = sK21
| ~ spl22_9
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5335,f262]) ).
fof(f5380,plain,
( n8 = sK5
| ~ spl22_9
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5379,f87]) ).
fof(f5379,plain,
( sum(n9,n10) = sK5
| ~ spl22_9
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5378,f132]) ).
fof(f5378,plain,
( sK5 = sum(n9,sum(n4,n6))
| ~ spl22_9
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5377,f73]) ).
fof(f5377,plain,
( sK5 = sum(n9,sum(pred(n5),n6))
| ~ spl22_9
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5366,f44]) ).
fof(f5366,plain,
( sK5 = sum(n9,sum(pred(n5),succ(n5)))
| ~ spl22_9
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5332,f262]) ).
fof(f5354,plain,
( ~ spl22_10
| ~ spl22_21
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5353]) ).
fof(f5353,plain,
( $false
| ~ spl22_10
| ~ spl22_21
| spl22_31 ),
inference(subsumption_resolution,[],[f5352,f5345]) ).
fof(f5345,plain,
( n6 != sK5
| ~ spl22_10
| ~ spl22_21
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5344]) ).
fof(f5344,plain,
( n6 = sK21
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5343,f157]) ).
fof(f5343,plain,
( sum(n3,n3) = sK21
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5342,f15]) ).
fof(f5342,plain,
( sum(sum(n9,n5),n3) = sK21
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5341,f208]) ).
fof(f5341,plain,
( sum(sum(n9,succ(n4)),n3) = sK21
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5340,f187]) ).
fof(f187,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f5340,plain,
( sum(sum(n9,succ(n4)),sum(n3,n0)) = sK21
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5339,f209]) ).
fof(f5339,plain,
( sK21 = sum(sum(n9,succ(n4)),sum(pred(n4),n0))
| ~ spl22_10
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5335,f266]) ).
fof(f5352,plain,
( n6 = sK5
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5351,f46]) ).
fof(f46,plain,
n6 = sum(n9,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f5351,plain,
( sum(n9,n8) = sK5
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5350,f79]) ).
fof(f5350,plain,
( sK5 = sum(n9,sum(n3,n5))
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5349,f209]) ).
fof(f5349,plain,
( sK5 = sum(n9,sum(pred(n4),n5))
| ~ spl22_10
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5338,f208]) ).
fof(f5338,plain,
( sK5 = sum(n9,sum(pred(n4),succ(n4)))
| ~ spl22_10
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5332,f266]) ).
fof(f5328,plain,
( ~ spl22_3
| ~ spl22_14
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5327]) ).
fof(f5327,plain,
( $false
| ~ spl22_3
| ~ spl22_14
| spl22_31 ),
inference(subsumption_resolution,[],[f5326,f5310]) ).
fof(f5310,plain,
( n7 != sK5
| ~ spl22_3
| ~ spl22_14
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5308]) ).
fof(f5308,plain,
( n7 = sK21
| ~ spl22_3
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5307,f64]) ).
fof(f5307,plain,
( sum(n9,n9) = sK21
| ~ spl22_3
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5306,f180]) ).
fof(f180,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f5306,plain,
( sum(sum(n1,n8),n9) = sK21
| ~ spl22_3
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5305,f56]) ).
fof(f5305,plain,
( sum(sum(pred(n2),n8),n9) = sK21
| ~ spl22_3
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5304,f226]) ).
fof(f226,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5304,plain,
( sK21 = sum(sum(pred(n2),n8),sum(n6,n3))
| ~ spl22_3
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5303,f130]) ).
fof(f5303,plain,
( sum(sum(pred(n2),n8),sum(n6,succ(n2))) = sK21
| ~ spl22_3
| ~ spl22_14 ),
inference(backward_demodulation,[],[f5194,f283]) ).
fof(f5194,plain,
( sum(sum(pred(sK1),n8),sum(n6,succ(sK1))) = sK21
| ~ spl22_3 ),
inference(forward_demodulation,[],[f5193,f188]) ).
fof(f5193,plain,
( sum(sum(pred(sK1),succ(n7)),sum(n6,succ(sK1))) = sK21
| ~ spl22_3 ),
inference(forward_demodulation,[],[f5192,f20]) ).
fof(f5192,plain,
( sum(sum(pred(sK1),succ(n7)),sum(pred(n7),succ(sK1))) = sK21
| ~ spl22_3 ),
inference(forward_demodulation,[],[f153,f238]) ).
fof(f5326,plain,
( n7 = sK5
| ~ spl22_3
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5325,f6]) ).
fof(f5325,plain,
( sum(n4,n3) = sK5
| ~ spl22_3
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5324,f120]) ).
fof(f5324,plain,
( sK5 = sum(sum(n1,n3),n3)
| ~ spl22_3
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5323,f56]) ).
fof(f5323,plain,
( sK5 = sum(sum(pred(n2),n3),n3)
| ~ spl22_3
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5322,f130]) ).
fof(f5322,plain,
( sK5 = sum(sum(pred(n2),succ(n2)),n3)
| ~ spl22_3
| ~ spl22_14 ),
inference(forward_demodulation,[],[f5217,f283]) ).
fof(f5217,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n3)
| ~ spl22_3 ),
inference(forward_demodulation,[],[f5216,f62]) ).
fof(f5216,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n6,n8))
| ~ spl22_3 ),
inference(forward_demodulation,[],[f5215,f20]) ).
fof(f5215,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n7),n8))
| ~ spl22_3 ),
inference(forward_demodulation,[],[f5214,f188]) ).
fof(f5214,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n7),succ(n7)))
| ~ spl22_3 ),
inference(forward_demodulation,[],[f201,f238]) ).
fof(f5294,plain,
( ~ spl22_3
| ~ spl22_19
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5293]) ).
fof(f5293,plain,
( $false
| ~ spl22_3
| ~ spl22_19
| spl22_31 ),
inference(subsumption_resolution,[],[f5292,f5286]) ).
fof(f5286,plain,
( n0 != sK5
| ~ spl22_3
| ~ spl22_19
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5284]) ).
fof(f5284,plain,
( n0 = sK21
| ~ spl22_3
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5283,f219]) ).
fof(f5283,plain,
( sum(n0,n0) = sK21
| ~ spl22_3
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5282,f138]) ).
fof(f138,plain,
n0 = sum(n3,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f5282,plain,
( sum(sum(n3,n8),n0) = sK21
| ~ spl22_3
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5281,f209]) ).
fof(f5281,plain,
( sK21 = sum(sum(pred(n4),n8),n0)
| ~ spl22_3
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5280,f18]) ).
fof(f5280,plain,
( sum(sum(pred(n4),n8),sum(n6,n5)) = sK21
| ~ spl22_3
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5278,f208]) ).
fof(f5278,plain,
( sum(sum(pred(n4),n8),sum(n6,succ(n4))) = sK21
| ~ spl22_3
| ~ spl22_19 ),
inference(backward_demodulation,[],[f5194,f303]) ).
fof(f5292,plain,
( n0 = sK5
| ~ spl22_3
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5291,f42]) ).
fof(f5291,plain,
( sum(n8,n3) = sK5
| ~ spl22_3
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5290,f79]) ).
fof(f5290,plain,
( sK5 = sum(sum(n3,n5),n3)
| ~ spl22_3
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5289,f209]) ).
fof(f5289,plain,
( sK5 = sum(sum(pred(n4),n5),n3)
| ~ spl22_3
| ~ spl22_19 ),
inference(forward_demodulation,[],[f5279,f208]) ).
fof(f5279,plain,
( sum(sum(pred(n4),succ(n4)),n3) = sK5
| ~ spl22_3
| ~ spl22_19 ),
inference(backward_demodulation,[],[f5217,f303]) ).
fof(f5272,plain,
( ~ spl22_3
| ~ spl22_16
| spl22_26 ),
inference(avatar_contradiction_clause,[],[f5271]) ).
fof(f5271,plain,
( $false
| ~ spl22_3
| ~ spl22_16
| spl22_26 ),
inference(subsumption_resolution,[],[f5270,f5249]) ).
fof(f5249,plain,
( n3 != sK19
| ~ spl22_3
| ~ spl22_16
| spl22_26 ),
inference(backward_demodulation,[],[f332,f5248]) ).
fof(f5248,plain,
( n3 = sK12
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5247,f216]) ).
fof(f5247,plain,
( sum(n7,n7) = sK12
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5246,f24]) ).
fof(f5246,plain,
( sum(sum(n8,n10),n7) = sK12
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5245,f91]) ).
fof(f5245,plain,
( sum(sum(pred(n9),n10),n7) = sK12
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5244,f114]) ).
fof(f5244,plain,
( sK12 = sum(sum(pred(n9),succ(n9)),n7)
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5243,f5238]) ).
fof(f5238,plain,
( n9 = sK21
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5237,f67]) ).
fof(f5237,plain,
( sum(n10,n10) = sK21
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5236,f171]) ).
fof(f171,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f5236,plain,
( sum(sum(n2,n8),n10) = sK21
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5235,f70]) ).
fof(f5235,plain,
( sum(sum(pred(n3),n8),n10) = sK21
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5234,f36]) ).
fof(f36,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5234,plain,
( sum(sum(pred(n3),n8),sum(n6,n4)) = sK21
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5228,f100]) ).
fof(f5228,plain,
( sum(sum(pred(n3),n8),sum(n6,succ(n3))) = sK21
| ~ spl22_3
| ~ spl22_16 ),
inference(backward_demodulation,[],[f5194,f291]) ).
fof(f5243,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),n7)
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5242,f24]) ).
fof(f5242,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(n8,n10))
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5241,f91]) ).
fof(f5241,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n9),n10)) = sK12
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5240,f114]) ).
fof(f5240,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(pred(n9),succ(n9)))
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f135,f5233]) ).
fof(f5233,plain,
( n9 = sK5
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5232,f226]) ).
fof(f5232,plain,
( sum(n6,n3) = sK5
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5231,f52]) ).
fof(f5231,plain,
( sum(sum(n2,n4),n3) = sK5
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5230,f70]) ).
fof(f5230,plain,
( sK5 = sum(sum(pred(n3),n4),n3)
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5229,f100]) ).
fof(f5229,plain,
( sK5 = sum(sum(pred(n3),succ(n3)),n3)
| ~ spl22_3
| ~ spl22_16 ),
inference(backward_demodulation,[],[f5217,f291]) ).
fof(f5270,plain,
( n3 = sK19
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5269,f216]) ).
fof(f5269,plain,
( sum(n7,n7) = sK19
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5268,f24]) ).
fof(f5268,plain,
( sum(sum(n8,n10),n7) = sK19
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5267,f114]) ).
fof(f5267,plain,
( sum(sum(n8,succ(n9)),n7) = sK19
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5266,f24]) ).
fof(f5266,plain,
( sum(sum(n8,succ(n9)),sum(n8,n10)) = sK19
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5265,f91]) ).
fof(f5265,plain,
( sum(sum(pred(n9),succ(n9)),sum(pred(n9),n10)) = sK19
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5264,f5233]) ).
fof(f5264,plain,
( sum(sum(pred(n9),succ(sK5)),sum(pred(sK5),n10)) = sK19
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f5263,f114]) ).
fof(f5263,plain,
( sK19 = sum(sum(pred(n9),succ(sK5)),sum(pred(sK5),succ(n9)))
| ~ spl22_3
| ~ spl22_16 ),
inference(forward_demodulation,[],[f30,f5238]) ).
fof(f5259,plain,
( ~ spl22_3
| ~ spl22_16
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5258]) ).
fof(f5258,plain,
( $false
| ~ spl22_3
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f5257,f5233]) ).
fof(f5257,plain,
( n9 != sK5
| ~ spl22_3
| ~ spl22_16
| spl22_31 ),
inference(forward_demodulation,[],[f352,f5238]) ).
fof(f5224,plain,
( ~ spl22_3
| ~ spl22_13
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5223]) ).
fof(f5223,plain,
( $false
| ~ spl22_3
| ~ spl22_13
| spl22_31 ),
inference(subsumption_resolution,[],[f5222,f5207]) ).
fof(f5207,plain,
( n2 != sK5
| ~ spl22_3
| ~ spl22_13
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5205]) ).
fof(f5205,plain,
( n2 = sK21
| ~ spl22_3
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5204,f197]) ).
fof(f5204,plain,
( sum(n1,n1) = sK21
| ~ spl22_3
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5203,f125]) ).
fof(f5203,plain,
( sum(sum(n4,n8),n1) = sK21
| ~ spl22_3
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5202,f73]) ).
fof(f5202,plain,
( sum(sum(pred(n5),n8),n1) = sK21
| ~ spl22_3
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5201,f11]) ).
fof(f5201,plain,
( sum(sum(pred(n5),n8),sum(n6,n6)) = sK21
| ~ spl22_3
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5200,f44]) ).
fof(f5200,plain,
( sum(sum(pred(n5),n8),sum(n6,succ(n5))) = sK21
| ~ spl22_3
| ~ spl22_13 ),
inference(backward_demodulation,[],[f5194,f279]) ).
fof(f5222,plain,
( n2 = sK5
| ~ spl22_3
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5221,f215]) ).
fof(f5221,plain,
( sum(n10,n3) = sK5
| ~ spl22_3
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5220,f132]) ).
fof(f5220,plain,
( sum(sum(n4,n6),n3) = sK5
| ~ spl22_3
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5219,f73]) ).
fof(f5219,plain,
( sK5 = sum(sum(pred(n5),n6),n3)
| ~ spl22_3
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5218,f44]) ).
fof(f5218,plain,
( sK5 = sum(sum(pred(n5),succ(n5)),n3)
| ~ spl22_3
| ~ spl22_13 ),
inference(forward_demodulation,[],[f5217,f279]) ).
fof(f5191,plain,
( ~ spl22_3
| ~ spl22_21
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5190]) ).
fof(f5190,plain,
( $false
| ~ spl22_3
| ~ spl22_21
| spl22_31 ),
inference(subsumption_resolution,[],[f5189,f5178]) ).
fof(f5178,plain,
( n1 != sK21
| ~ spl22_3
| ~ spl22_21
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5176]) ).
fof(f5176,plain,
( n1 = sK5
| ~ spl22_3
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5175,f155]) ).
fof(f155,plain,
n1 = sum(n9,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5175,plain,
( sum(n9,n3) = sK5
| ~ spl22_3
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5174,f62]) ).
fof(f5174,plain,
( sK5 = sum(n9,sum(n6,n8))
| ~ spl22_3
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5173,f20]) ).
fof(f5173,plain,
( sK5 = sum(n9,sum(pred(n7),n8))
| ~ spl22_3
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5171,f188]) ).
fof(f5171,plain,
( sK5 = sum(n9,sum(pred(n7),succ(n7)))
| ~ spl22_3
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5164,f238]) ).
fof(f5164,plain,
( sK5 = sum(n9,sum(pred(sK9),succ(sK9)))
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5163,f63]) ).
fof(f5163,plain,
( sum(sum(n9,n0),sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5162,f86]) ).
fof(f5162,plain,
( sum(sum(pred(n10),n0),sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5161,f95]) ).
fof(f5161,plain,
( sK5 = sum(sum(pred(n10),succ(n10)),sum(pred(sK9),succ(sK9)))
| ~ spl22_21 ),
inference(forward_demodulation,[],[f201,f311]) ).
fof(f5189,plain,
( n1 = sK21
| ~ spl22_3
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5188,f11]) ).
fof(f5188,plain,
( sum(n6,n6) = sK21
| ~ spl22_3
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5187,f46]) ).
fof(f5187,plain,
( sum(sum(n9,n8),n6) = sK21
| ~ spl22_3
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5186,f188]) ).
fof(f5186,plain,
( sum(sum(n9,succ(n7)),n6) = sK21
| ~ spl22_3
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5185,f213]) ).
fof(f5185,plain,
( sum(sum(n9,succ(n7)),sum(n6,n0)) = sK21
| ~ spl22_3
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5172,f20]) ).
fof(f5172,plain,
( sK21 = sum(sum(n9,succ(n7)),sum(pred(n7),n0))
| ~ spl22_3
| ~ spl22_21 ),
inference(backward_demodulation,[],[f5167,f238]) ).
fof(f5167,plain,
( sum(sum(n9,succ(sK9)),sum(pred(sK9),n0)) = sK21
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5166,f86]) ).
fof(f5166,plain,
( sum(sum(pred(n10),succ(sK9)),sum(pred(sK9),n0)) = sK21
| ~ spl22_21 ),
inference(forward_demodulation,[],[f5165,f95]) ).
fof(f5165,plain,
( sum(sum(pred(n10),succ(sK9)),sum(pred(sK9),succ(n10))) = sK21
| ~ spl22_21 ),
inference(forward_demodulation,[],[f153,f311]) ).
fof(f5159,plain,
( ~ spl22_9
| ~ spl22_20
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5158]) ).
fof(f5158,plain,
( $false
| ~ spl22_9
| ~ spl22_20
| spl22_31 ),
inference(subsumption_resolution,[],[f5157,f5122]) ).
fof(f5122,plain,
( n1 = sK5
| ~ spl22_9
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5121,f65]) ).
fof(f5121,plain,
( sum(n2,n10) = sK5
| ~ spl22_9
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5120,f132]) ).
fof(f5120,plain,
( sK5 = sum(n2,sum(n4,n6))
| ~ spl22_9
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5119,f73]) ).
fof(f5119,plain,
( sK5 = sum(n2,sum(pred(n5),n6))
| ~ spl22_9
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5118,f44]) ).
fof(f5118,plain,
( sK5 = sum(n2,sum(pred(n5),succ(n5)))
| ~ spl22_9
| ~ spl22_20 ),
inference(backward_demodulation,[],[f4916,f262]) ).
fof(f4916,plain,
( sK5 = sum(n2,sum(pred(sK9),succ(sK9)))
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4915,f148]) ).
fof(f4915,plain,
( sK5 = sum(sum(n0,n2),sum(pred(sK9),succ(sK9)))
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4914,f13]) ).
fof(f4914,plain,
( sK5 = sum(sum(pred(n1),n2),sum(pred(sK9),succ(sK9)))
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4913,f106]) ).
fof(f4913,plain,
( sK5 = sum(sum(pred(n1),succ(n1)),sum(pred(sK9),succ(sK9)))
| ~ spl22_20 ),
inference(forward_demodulation,[],[f201,f307]) ).
fof(f307,plain,
( n1 = sK1
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl22_20
<=> n1 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_20])]) ).
fof(f5157,plain,
( n1 != sK5
| ~ spl22_9
| ~ spl22_20
| spl22_31 ),
inference(forward_demodulation,[],[f352,f5135]) ).
fof(f5135,plain,
( n1 = sK21
| ~ spl22_9
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5134,f11]) ).
fof(f5134,plain,
( sum(n6,n6) = sK21
| ~ spl22_9
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5133,f104]) ).
fof(f104,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5133,plain,
( sum(sum(n0,n6),n6) = sK21
| ~ spl22_9
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5132,f44]) ).
fof(f5132,plain,
( sum(sum(n0,succ(n5)),n6) = sK21
| ~ spl22_9
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5131,f145]) ).
fof(f145,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f5131,plain,
( sK21 = sum(sum(n0,succ(n5)),sum(n4,n2))
| ~ spl22_9
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5130,f73]) ).
fof(f5130,plain,
( sum(sum(n0,succ(n5)),sum(pred(n5),n2)) = sK21
| ~ spl22_9
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4919,f262]) ).
fof(f4919,plain,
( sum(sum(n0,succ(sK9)),sum(pred(sK9),n2)) = sK21
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4918,f13]) ).
fof(f4918,plain,
( sum(sum(pred(n1),succ(sK9)),sum(pred(sK9),n2)) = sK21
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4917,f106]) ).
fof(f4917,plain,
( sum(sum(pred(n1),succ(sK9)),sum(pred(sK9),succ(n1))) = sK21
| ~ spl22_20 ),
inference(forward_demodulation,[],[f153,f307]) ).
fof(f5113,plain,
( ~ spl22_11
| ~ spl22_20
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5112]) ).
fof(f5112,plain,
( $false
| ~ spl22_11
| ~ spl22_20
| spl22_31 ),
inference(subsumption_resolution,[],[f5111,f5099]) ).
fof(f5099,plain,
( n3 != sK5
| ~ spl22_11
| ~ spl22_20
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5098]) ).
fof(f5098,plain,
( n3 = sK21
| ~ spl22_11
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5097,f216]) ).
fof(f5097,plain,
( sum(n7,n7) = sK21
| ~ spl22_11
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5096,f93]) ).
fof(f5096,plain,
( sum(sum(n0,n7),n7) = sK21
| ~ spl22_11
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5095,f119]) ).
fof(f5095,plain,
( sum(sum(n0,succ(n6)),n7) = sK21
| ~ spl22_11
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5094,f17]) ).
fof(f17,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f5094,plain,
( sum(sum(n0,succ(n6)),sum(n5,n2)) = sK21
| ~ spl22_11
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5093,f211]) ).
fof(f5093,plain,
( sK21 = sum(sum(n0,succ(n6)),sum(pred(n6),n2))
| ~ spl22_11
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4919,f270]) ).
fof(f5111,plain,
( n3 = sK5
| ~ spl22_11
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5110,f53]) ).
fof(f5110,plain,
( sum(n2,n1) = sK5
| ~ spl22_11
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5109,f151]) ).
fof(f5109,plain,
( sK5 = sum(n2,sum(n5,n7))
| ~ spl22_11
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5108,f211]) ).
fof(f5108,plain,
( sK5 = sum(n2,sum(pred(n6),n7))
| ~ spl22_11
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5107,f119]) ).
fof(f5107,plain,
( sK5 = sum(n2,sum(pred(n6),succ(n6)))
| ~ spl22_11
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4916,f270]) ).
fof(f5087,plain,
( ~ spl22_10
| ~ spl22_20
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5086]) ).
fof(f5086,plain,
( $false
| ~ spl22_10
| ~ spl22_20
| spl22_31 ),
inference(subsumption_resolution,[],[f5085,f5076]) ).
fof(f5076,plain,
( n10 != sK5
| ~ spl22_10
| ~ spl22_20
| spl22_31 ),
inference(backward_demodulation,[],[f352,f5073]) ).
fof(f5073,plain,
( n10 = sK21
| ~ spl22_10
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5072,f174]) ).
fof(f5072,plain,
( sum(n5,n5) = sK21
| ~ spl22_10
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5071,f77]) ).
fof(f5071,plain,
( sum(sum(n0,n5),n5) = sK21
| ~ spl22_10
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5070,f208]) ).
fof(f5070,plain,
( sum(sum(n0,succ(n4)),n5) = sK21
| ~ spl22_10
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5069,f207]) ).
fof(f207,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f5069,plain,
( sK21 = sum(sum(n0,succ(n4)),sum(n3,n2))
| ~ spl22_10
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5068,f209]) ).
fof(f5068,plain,
( sum(sum(n0,succ(n4)),sum(pred(n4),n2)) = sK21
| ~ spl22_10
| ~ spl22_20 ),
inference(backward_demodulation,[],[f4919,f266]) ).
fof(f5085,plain,
( n10 = sK5
| ~ spl22_10
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5084,f171]) ).
fof(f5084,plain,
( sum(n2,n8) = sK5
| ~ spl22_10
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5083,f79]) ).
fof(f5083,plain,
( sK5 = sum(n2,sum(n3,n5))
| ~ spl22_10
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5082,f209]) ).
fof(f5082,plain,
( sK5 = sum(n2,sum(pred(n4),n5))
| ~ spl22_10
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5067,f208]) ).
fof(f5067,plain,
( sK5 = sum(n2,sum(pred(n4),succ(n4)))
| ~ spl22_10
| ~ spl22_20 ),
inference(backward_demodulation,[],[f4916,f266]) ).
fof(f5061,plain,
( ~ spl22_3
| ~ spl22_20
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5060]) ).
fof(f5060,plain,
( $false
| ~ spl22_3
| ~ spl22_20
| spl22_31 ),
inference(subsumption_resolution,[],[f5059,f5022]) ).
fof(f5022,plain,
( n5 = sK5
| ~ spl22_3
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5021,f61]) ).
fof(f61,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5021,plain,
( sum(n2,n3) = sK5
| ~ spl22_3
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5020,f62]) ).
fof(f5020,plain,
( sK5 = sum(n2,sum(n6,n8))
| ~ spl22_3
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5019,f20]) ).
fof(f5019,plain,
( sum(n2,sum(pred(n7),n8)) = sK5
| ~ spl22_3
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5018,f188]) ).
fof(f5018,plain,
( sum(n2,sum(pred(n7),succ(n7))) = sK5
| ~ spl22_3
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4916,f238]) ).
fof(f5059,plain,
( n5 != sK5
| ~ spl22_3
| ~ spl22_20
| spl22_31 ),
inference(forward_demodulation,[],[f352,f5031]) ).
fof(f5031,plain,
( n5 = sK21
| ~ spl22_3
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5030,f26]) ).
fof(f5030,plain,
( sum(n8,n8) = sK21
| ~ spl22_3
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5029,f122]) ).
fof(f5029,plain,
( sum(sum(n0,n8),n8) = sK21
| ~ spl22_3
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5028,f188]) ).
fof(f5028,plain,
( sum(sum(n0,succ(n7)),n8) = sK21
| ~ spl22_3
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5027,f34]) ).
fof(f34,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f5027,plain,
( sum(sum(n0,succ(n7)),sum(n6,n2)) = sK21
| ~ spl22_3
| ~ spl22_20 ),
inference(forward_demodulation,[],[f5026,f20]) ).
fof(f5026,plain,
( sum(sum(n0,succ(n7)),sum(pred(n7),n2)) = sK21
| ~ spl22_3
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4919,f238]) ).
fof(f5014,plain,
( ~ spl22_5
| ~ spl22_20
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f5013]) ).
fof(f5013,plain,
( $false
| ~ spl22_5
| ~ spl22_20
| spl22_31 ),
inference(subsumption_resolution,[],[f5012,f4990]) ).
fof(f4990,plain,
( n2 = sK5
| ~ spl22_5
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4989,f184]) ).
fof(f184,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4989,plain,
( sum(n2,n0) = sK5
| ~ spl22_5
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4988,f107]) ).
fof(f4988,plain,
( sK5 = sum(n2,sum(n10,n1))
| ~ spl22_5
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4987,f225]) ).
fof(f4987,plain,
( sK5 = sum(n2,sum(pred(n0),n1))
| ~ spl22_5
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4986,f78]) ).
fof(f4986,plain,
( sum(n2,sum(pred(n0),succ(n0))) = sK5
| ~ spl22_5
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4916,f246]) ).
fof(f5012,plain,
( n2 != sK5
| ~ spl22_5
| ~ spl22_20
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4978]) ).
fof(f4978,plain,
( n2 = sK21
| ~ spl22_5
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4977,f197]) ).
fof(f4977,plain,
( sum(n1,n1) = sK21
| ~ spl22_5
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4976,f21]) ).
fof(f4976,plain,
( sum(sum(n0,n1),n1) = sK21
| ~ spl22_5
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4975,f78]) ).
fof(f4975,plain,
( sum(sum(n0,succ(n0)),n1) = sK21
| ~ spl22_5
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4974,f163]) ).
fof(f4974,plain,
( sK21 = sum(sum(n0,succ(n0)),sum(n10,n2))
| ~ spl22_5
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4973,f225]) ).
fof(f4973,plain,
( sum(sum(n0,succ(n0)),sum(pred(n0),n2)) = sK21
| ~ spl22_5
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4919,f246]) ).
fof(f4962,plain,
( ~ spl22_4
| ~ spl22_20
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4961]) ).
fof(f4961,plain,
( $false
| ~ spl22_4
| ~ spl22_20
| spl22_31 ),
inference(subsumption_resolution,[],[f4960,f4947]) ).
fof(f4947,plain,
( n7 != sK21
| ~ spl22_4
| ~ spl22_20
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4946]) ).
fof(f4946,plain,
( n7 = sK5
| ~ spl22_4
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4945,f51]) ).
fof(f4945,plain,
( sum(n2,n5) = sK5
| ~ spl22_4
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4944,f204]) ).
fof(f4944,plain,
( sK5 = sum(n2,sum(n7,n9))
| ~ spl22_4
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4943,f60]) ).
fof(f4943,plain,
( sum(n2,sum(pred(n8),n9)) = sK5
| ~ spl22_4
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4942,f40]) ).
fof(f4942,plain,
( sK5 = sum(n2,sum(pred(n8),succ(n8)))
| ~ spl22_4
| ~ spl22_20 ),
inference(backward_demodulation,[],[f4916,f242]) ).
fof(f4960,plain,
( n7 = sK21
| ~ spl22_4
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4959,f64]) ).
fof(f4959,plain,
( sum(n9,n9) = sK21
| ~ spl22_4
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4958,f12]) ).
fof(f4958,plain,
( sK21 = sum(sum(n0,n9),n9)
| ~ spl22_4
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4957,f40]) ).
fof(f4957,plain,
( sum(sum(n0,succ(n8)),n9) = sK21
| ~ spl22_4
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4956,f117]) ).
fof(f117,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4956,plain,
( sum(sum(n0,succ(n8)),sum(n7,n2)) = sK21
| ~ spl22_4
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4955,f60]) ).
fof(f4955,plain,
( sum(sum(n0,succ(n8)),sum(pred(n8),n2)) = sK21
| ~ spl22_4
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4919,f242]) ).
fof(f4940,plain,
( ~ spl22_6
| ~ spl22_20
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4939]) ).
fof(f4939,plain,
( $false
| ~ spl22_6
| ~ spl22_20
| spl22_31 ),
inference(subsumption_resolution,[],[f4938,f4927]) ).
fof(f4927,plain,
( n9 != sK5
| ~ spl22_6
| ~ spl22_20
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4926]) ).
fof(f4926,plain,
( n9 = sK21
| ~ spl22_6
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4925,f67]) ).
fof(f4925,plain,
( sum(n10,n10) = sK21
| ~ spl22_6
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4924,f71]) ).
fof(f4924,plain,
( sum(sum(n0,n10),n10) = sK21
| ~ spl22_6
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4923,f114]) ).
fof(f4923,plain,
( sum(sum(n0,succ(n9)),n10) = sK21
| ~ spl22_6
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4922,f89]) ).
fof(f89,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4922,plain,
( sum(sum(n0,succ(n9)),sum(n8,n2)) = sK21
| ~ spl22_6
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4921,f91]) ).
fof(f4921,plain,
( sK21 = sum(sum(n0,succ(n9)),sum(pred(n9),n2))
| ~ spl22_6
| ~ spl22_20 ),
inference(backward_demodulation,[],[f4919,f250]) ).
fof(f4938,plain,
( n9 = sK5
| ~ spl22_6
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4937,f14]) ).
fof(f4937,plain,
( sum(n2,n7) = sK5
| ~ spl22_6
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4936,f24]) ).
fof(f4936,plain,
( sum(n2,sum(n8,n10)) = sK5
| ~ spl22_6
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4935,f91]) ).
fof(f4935,plain,
( sK5 = sum(n2,sum(pred(n9),n10))
| ~ spl22_6
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4920,f114]) ).
fof(f4920,plain,
( sum(n2,sum(pred(n9),succ(n9))) = sK5
| ~ spl22_6
| ~ spl22_20 ),
inference(backward_demodulation,[],[f4916,f250]) ).
fof(f4904,plain,
( ~ spl22_1
| ~ spl22_21
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4903]) ).
fof(f4903,plain,
( $false
| ~ spl22_1
| ~ spl22_21
| spl22_31 ),
inference(subsumption_resolution,[],[f4902,f4867]) ).
fof(f4867,plain,
( n7 = sK5
| ~ spl22_1
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4866,f64]) ).
fof(f4866,plain,
( sum(n9,n9) = sK5
| ~ spl22_1
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4865,f63]) ).
fof(f4865,plain,
( sum(sum(n9,n0),n9) = sK5
| ~ spl22_1
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4864,f86]) ).
fof(f4864,plain,
( sK5 = sum(sum(pred(n10),n0),n9)
| ~ spl22_1
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4863,f95]) ).
fof(f4863,plain,
( sK5 = sum(sum(pred(n10),succ(n10)),n9)
| ~ spl22_1
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4747,f311]) ).
fof(f4747,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n9)
| ~ spl22_1 ),
inference(forward_demodulation,[],[f4746,f63]) ).
fof(f4746,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n9,n0))
| ~ spl22_1 ),
inference(forward_demodulation,[],[f4745,f86]) ).
fof(f4745,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n10),n0))
| ~ spl22_1 ),
inference(forward_demodulation,[],[f4744,f95]) ).
fof(f4744,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n10),succ(n10)))
| ~ spl22_1 ),
inference(forward_demodulation,[],[f201,f230]) ).
fof(f4902,plain,
( n7 != sK5
| ~ spl22_1
| ~ spl22_21
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4880]) ).
fof(f4880,plain,
( n7 = sK21
| ~ spl22_1
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4879,f64]) ).
fof(f4879,plain,
( sum(n9,n9) = sK21
| ~ spl22_1
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4878,f63]) ).
fof(f4878,plain,
( sum(sum(n9,n0),n9) = sK21
| ~ spl22_1
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4877,f86]) ).
fof(f4877,plain,
( sum(sum(pred(n10),n0),n9) = sK21
| ~ spl22_1
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4876,f63]) ).
fof(f4876,plain,
( sum(sum(pred(n10),n0),sum(n9,n0)) = sK21
| ~ spl22_1
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4875,f95]) ).
fof(f4875,plain,
( sum(sum(pred(n10),n0),sum(n9,succ(n10))) = sK21
| ~ spl22_1
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4806,f311]) ).
fof(f4806,plain,
( sum(sum(pred(sK1),n0),sum(n9,succ(sK1))) = sK21
| ~ spl22_1 ),
inference(forward_demodulation,[],[f4805,f95]) ).
fof(f4805,plain,
( sum(sum(pred(sK1),succ(n10)),sum(n9,succ(sK1))) = sK21
| ~ spl22_1 ),
inference(forward_demodulation,[],[f4804,f86]) ).
fof(f4804,plain,
( sum(sum(pred(sK1),succ(n10)),sum(pred(n10),succ(sK1))) = sK21
| ~ spl22_1 ),
inference(forward_demodulation,[],[f153,f230]) ).
fof(f4859,plain,
( ~ spl22_1
| ~ spl22_13
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4858]) ).
fof(f4858,plain,
( $false
| ~ spl22_1
| ~ spl22_13
| spl22_31 ),
inference(subsumption_resolution,[],[f4857,f4852]) ).
fof(f4852,plain,
( n8 != sK5
| ~ spl22_1
| ~ spl22_13
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4843]) ).
fof(f4843,plain,
( n8 = sK21
| ~ spl22_1
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4842,f99]) ).
fof(f4842,plain,
( sum(n4,n4) = sK21
| ~ spl22_1
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4841,f96]) ).
fof(f4841,plain,
( sum(sum(n4,n0),n4) = sK21
| ~ spl22_1
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4840,f73]) ).
fof(f4840,plain,
( sum(sum(pred(n5),n0),n4) = sK21
| ~ spl22_1
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4839,f137]) ).
fof(f4839,plain,
( sum(sum(pred(n5),n0),sum(n9,n6)) = sK21
| ~ spl22_1
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4838,f44]) ).
fof(f4838,plain,
( sum(sum(pred(n5),n0),sum(n9,succ(n5))) = sK21
| ~ spl22_1
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4806,f279]) ).
fof(f4857,plain,
( n8 = sK5
| ~ spl22_1
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4856,f134]) ).
fof(f4856,plain,
( sum(n10,n9) = sK5
| ~ spl22_1
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4855,f132]) ).
fof(f4855,plain,
( sK5 = sum(sum(n4,n6),n9)
| ~ spl22_1
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4854,f73]) ).
fof(f4854,plain,
( sK5 = sum(sum(pred(n5),n6),n9)
| ~ spl22_1
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4853,f44]) ).
fof(f4853,plain,
( sK5 = sum(sum(pred(n5),succ(n5)),n9)
| ~ spl22_1
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4747,f279]) ).
fof(f4834,plain,
( ~ spl22_1
| ~ spl22_20
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4833]) ).
fof(f4833,plain,
( $false
| ~ spl22_1
| ~ spl22_20
| spl22_31 ),
inference(subsumption_resolution,[],[f4832,f4820]) ).
fof(f4820,plain,
( n0 != sK21
| ~ spl22_1
| ~ spl22_20
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4819]) ).
fof(f4819,plain,
( n0 = sK5
| ~ spl22_1
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4818,f205]) ).
fof(f4818,plain,
( sum(n2,n9) = sK5
| ~ spl22_1
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4817,f148]) ).
fof(f4817,plain,
( sK5 = sum(sum(n0,n2),n9)
| ~ spl22_1
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4816,f13]) ).
fof(f4816,plain,
( sum(sum(pred(n1),n2),n9) = sK5
| ~ spl22_1
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4814,f106]) ).
fof(f4814,plain,
( sK5 = sum(sum(pred(n1),succ(n1)),n9)
| ~ spl22_1
| ~ spl22_20 ),
inference(backward_demodulation,[],[f4747,f307]) ).
fof(f4832,plain,
( n0 = sK21
| ~ spl22_1
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4831,f219]) ).
fof(f4831,plain,
( sum(n0,n0) = sK21
| ~ spl22_1
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4830,f219]) ).
fof(f4830,plain,
( sK21 = sum(sum(n0,n0),n0)
| ~ spl22_1
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4829,f13]) ).
fof(f4829,plain,
( sum(sum(pred(n1),n0),n0) = sK21
| ~ spl22_1
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4828,f182]) ).
fof(f182,plain,
n0 = sum(n9,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4828,plain,
( sum(sum(pred(n1),n0),sum(n9,n2)) = sK21
| ~ spl22_1
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4815,f106]) ).
fof(f4815,plain,
( sum(sum(pred(n1),n0),sum(n9,succ(n1))) = sK21
| ~ spl22_1
| ~ spl22_20 ),
inference(backward_demodulation,[],[f4806,f307]) ).
fof(f4803,plain,
( ~ spl22_1
| ~ spl22_14
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4802]) ).
fof(f4802,plain,
( $false
| ~ spl22_1
| ~ spl22_14
| spl22_31 ),
inference(subsumption_resolution,[],[f4801,f4784]) ).
fof(f4784,plain,
( n2 != sK5
| ~ spl22_1
| ~ spl22_14
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4783]) ).
fof(f4783,plain,
( n2 = sK21
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4782,f197]) ).
fof(f4782,plain,
( sum(n1,n1) = sK21
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4781,f111]) ).
fof(f111,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4781,plain,
( sum(sum(n1,n0),n1) = sK21
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4780,f56]) ).
fof(f4780,plain,
( sum(sum(pred(n2),n0),n1) = sK21
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4779,f95]) ).
fof(f4779,plain,
( sum(sum(pred(n2),succ(n10)),n1) = sK21
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4778,f155]) ).
fof(f4778,plain,
( sum(sum(pred(n2),succ(n10)),sum(n9,n3)) = sK21
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4777,f86]) ).
fof(f4777,plain,
( sum(sum(pred(n2),succ(n10)),sum(pred(n10),n3)) = sK21
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4776,f230]) ).
fof(f4776,plain,
( sum(sum(pred(n2),succ(sK9)),sum(pred(sK9),n3)) = sK21
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4775,f130]) ).
fof(f4775,plain,
( sum(sum(pred(n2),succ(sK9)),sum(pred(sK9),succ(n2))) = sK21
| ~ spl22_14 ),
inference(forward_demodulation,[],[f153,f283]) ).
fof(f4801,plain,
( n2 = sK5
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4800,f127]) ).
fof(f4800,plain,
( sum(n4,n9) = sK5
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4799,f120]) ).
fof(f4799,plain,
( sK5 = sum(sum(n1,n3),n9)
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4798,f56]) ).
fof(f4798,plain,
( sK5 = sum(sum(pred(n2),n3),n9)
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4797,f130]) ).
fof(f4797,plain,
( sK5 = sum(sum(pred(n2),succ(n2)),n9)
| ~ spl22_1
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4747,f283]) ).
fof(f4767,plain,
( ~ spl22_1
| ~ spl22_16
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4766]) ).
fof(f4766,plain,
( $false
| ~ spl22_1
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f4765,f4754]) ).
fof(f4754,plain,
( n4 != sK21
| ~ spl22_1
| ~ spl22_16
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4752]) ).
fof(f4752,plain,
( n4 = sK5
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4751,f97]) ).
fof(f97,plain,
n4 = sum(n6,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4751,plain,
( sum(n6,n9) = sK5
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4750,f52]) ).
fof(f4750,plain,
( sK5 = sum(sum(n2,n4),n9)
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4749,f70]) ).
fof(f4749,plain,
( sum(sum(pred(n3),n4),n9) = sK5
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4748,f100]) ).
fof(f4748,plain,
( sK5 = sum(sum(pred(n3),succ(n3)),n9)
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4747,f291]) ).
fof(f4765,plain,
( n4 = sK21
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4764,f142]) ).
fof(f4764,plain,
( sum(n2,n2) = sK21
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4763,f184]) ).
fof(f4763,plain,
( sum(sum(n2,n0),n2) = sK21
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4762,f70]) ).
fof(f4762,plain,
( sK21 = sum(sum(pred(n3),n0),n2)
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4761,f95]) ).
fof(f4761,plain,
( sum(sum(pred(n3),succ(n10)),n2) = sK21
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4760,f169]) ).
fof(f169,plain,
n2 = sum(n9,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4760,plain,
( sum(sum(pred(n3),succ(n10)),sum(n9,n4)) = sK21
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4759,f86]) ).
fof(f4759,plain,
( sum(sum(pred(n3),succ(n10)),sum(pred(n10),n4)) = sK21
| ~ spl22_1
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4758,f230]) ).
fof(f4758,plain,
( sum(sum(pred(n3),succ(sK9)),sum(pred(sK9),n4)) = sK21
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4757,f100]) ).
fof(f4757,plain,
( sum(sum(pred(n3),succ(sK9)),sum(pred(sK9),succ(n3))) = sK21
| ~ spl22_16 ),
inference(forward_demodulation,[],[f153,f291]) ).
fof(f4733,plain,
( ~ spl22_1
| ~ spl22_19
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4732]) ).
fof(f4732,plain,
( $false
| ~ spl22_1
| ~ spl22_19
| spl22_31 ),
inference(subsumption_resolution,[],[f4731,f4723]) ).
fof(f4723,plain,
( n6 != sK21
| ~ spl22_1
| ~ spl22_19
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4721]) ).
fof(f4721,plain,
( n6 = sK5
| ~ spl22_1
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4720,f140]) ).
fof(f140,plain,
n6 = sum(n8,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4720,plain,
( sum(n8,n9) = sK5
| ~ spl22_1
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4719,f63]) ).
fof(f4719,plain,
( sK5 = sum(n8,sum(n9,n0))
| ~ spl22_1
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4718,f86]) ).
fof(f4718,plain,
( sum(n8,sum(pred(n10),n0)) = sK5
| ~ spl22_1
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4717,f95]) ).
fof(f4717,plain,
( sK5 = sum(n8,sum(pred(n10),succ(n10)))
| ~ spl22_1
| ~ spl22_19 ),
inference(backward_demodulation,[],[f4714,f230]) ).
fof(f4714,plain,
( sum(n8,sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4713,f79]) ).
fof(f4713,plain,
( sK5 = sum(sum(n3,n5),sum(pred(sK9),succ(sK9)))
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4712,f209]) ).
fof(f4712,plain,
( sK5 = sum(sum(pred(n4),n5),sum(pred(sK9),succ(sK9)))
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4711,f208]) ).
fof(f4711,plain,
( sK5 = sum(sum(pred(n4),succ(n4)),sum(pred(sK9),succ(sK9)))
| ~ spl22_19 ),
inference(forward_demodulation,[],[f201,f303]) ).
fof(f4731,plain,
( n6 = sK21
| ~ spl22_1
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4730,f157]) ).
fof(f4730,plain,
( sum(n3,n3) = sK21
| ~ spl22_1
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4729,f187]) ).
fof(f4729,plain,
( sum(sum(n3,n0),n3) = sK21
| ~ spl22_1
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4728,f95]) ).
fof(f4728,plain,
( sum(sum(n3,succ(n10)),n3) = sK21
| ~ spl22_1
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4727,f15]) ).
fof(f4727,plain,
( sum(sum(n3,succ(n10)),sum(n9,n5)) = sK21
| ~ spl22_1
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4716,f86]) ).
fof(f4716,plain,
( sum(sum(n3,succ(n10)),sum(pred(n10),n5)) = sK21
| ~ spl22_1
| ~ spl22_19 ),
inference(backward_demodulation,[],[f4709,f230]) ).
fof(f4709,plain,
( sK21 = sum(sum(n3,succ(sK9)),sum(pred(sK9),n5))
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4708,f209]) ).
fof(f4708,plain,
( sum(sum(pred(n4),succ(sK9)),sum(pred(sK9),n5)) = sK21
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4703,f208]) ).
fof(f4703,plain,
( sum(sum(pred(n4),succ(sK9)),sum(pred(sK9),succ(n4))) = sK21
| ~ spl22_19 ),
inference(backward_demodulation,[],[f153,f303]) ).
fof(f4697,plain,
( ~ spl22_4
| ~ spl22_17
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4696]) ).
fof(f4696,plain,
( $false
| ~ spl22_4
| ~ spl22_17
| spl22_31 ),
inference(subsumption_resolution,[],[f4695,f4689]) ).
fof(f4689,plain,
( n1 != sK5
| ~ spl22_4
| ~ spl22_17
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4685]) ).
fof(f4685,plain,
( n1 = sK21
| ~ spl22_4
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4684,f11]) ).
fof(f4684,plain,
( sum(n6,n6) = sK21
| ~ spl22_4
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4683,f140]) ).
fof(f4683,plain,
( sK21 = sum(sum(n8,n9),n6)
| ~ spl22_4
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4682,f40]) ).
fof(f4682,plain,
( sum(sum(n8,succ(n8)),n6) = sK21
| ~ spl22_4
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4681,f124]) ).
fof(f124,plain,
n6 = sum(n7,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4681,plain,
( sum(sum(n8,succ(n8)),sum(n7,n10)) = sK21
| ~ spl22_4
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4680,f60]) ).
fof(f4680,plain,
( sum(sum(n8,succ(n8)),sum(pred(n8),n10)) = sK21
| ~ spl22_4
| ~ spl22_17 ),
inference(backward_demodulation,[],[f4679,f242]) ).
fof(f4679,plain,
( sK21 = sum(sum(n8,succ(sK9)),sum(pred(sK9),n10))
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4444,f91]) ).
fof(f4444,plain,
( sum(sum(pred(n9),succ(sK9)),sum(pred(sK9),n10)) = sK21
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4443,f114]) ).
fof(f4443,plain,
( sum(sum(pred(n9),succ(sK9)),sum(pred(sK9),succ(n9))) = sK21
| ~ spl22_17 ),
inference(forward_demodulation,[],[f153,f295]) ).
fof(f295,plain,
( n9 = sK1
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl22_17
<=> n9 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).
fof(f4695,plain,
( n1 = sK5
| ~ spl22_4
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4694,f37]) ).
fof(f4694,plain,
( sum(n7,n5) = sK5
| ~ spl22_4
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4693,f204]) ).
fof(f4693,plain,
( sK5 = sum(n7,sum(n7,n9))
| ~ spl22_4
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4692,f60]) ).
fof(f4692,plain,
( sK5 = sum(n7,sum(pred(n8),n9))
| ~ spl22_4
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4691,f40]) ).
fof(f4691,plain,
( sK5 = sum(n7,sum(pred(n8),succ(n8)))
| ~ spl22_4
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4562,f242]) ).
fof(f4562,plain,
( sK5 = sum(n7,sum(pred(sK9),succ(sK9)))
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4561,f24]) ).
fof(f4561,plain,
( sum(sum(n8,n10),sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4560,f91]) ).
fof(f4560,plain,
( sK5 = sum(sum(pred(n9),n10),sum(pred(sK9),succ(sK9)))
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4559,f114]) ).
fof(f4559,plain,
( sK5 = sum(sum(pred(n9),succ(n9)),sum(pred(sK9),succ(sK9)))
| ~ spl22_17 ),
inference(forward_demodulation,[],[f201,f295]) ).
fof(f4677,plain,
( ~ spl22_6
| ~ spl22_17
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4676]) ).
fof(f4676,plain,
( $false
| ~ spl22_6
| ~ spl22_17
| spl22_31 ),
inference(subsumption_resolution,[],[f4675,f4640]) ).
fof(f4640,plain,
( n3 = sK5
| ~ spl22_6
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4639,f216]) ).
fof(f4639,plain,
( sum(n7,n7) = sK5
| ~ spl22_6
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4638,f24]) ).
fof(f4638,plain,
( sK5 = sum(n7,sum(n8,n10))
| ~ spl22_6
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4637,f91]) ).
fof(f4637,plain,
( sK5 = sum(n7,sum(pred(n9),n10))
| ~ spl22_6
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4636,f114]) ).
fof(f4636,plain,
( sK5 = sum(n7,sum(pred(n9),succ(n9)))
| ~ spl22_6
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4562,f250]) ).
fof(f4675,plain,
( n3 != sK5
| ~ spl22_6
| ~ spl22_17
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4653]) ).
fof(f4653,plain,
( n3 = sK21
| ~ spl22_6
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4652,f216]) ).
fof(f4652,plain,
( sum(n7,n7) = sK21
| ~ spl22_6
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4651,f24]) ).
fof(f4651,plain,
( sum(sum(n8,n10),n7) = sK21
| ~ spl22_6
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4650,f114]) ).
fof(f4650,plain,
( sum(sum(n8,succ(n9)),n7) = sK21
| ~ spl22_6
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4649,f24]) ).
fof(f4649,plain,
( sum(sum(n8,succ(n9)),sum(n8,n10)) = sK21
| ~ spl22_6
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4648,f91]) ).
fof(f4648,plain,
( sum(sum(pred(n9),succ(n9)),sum(pred(n9),n10)) = sK21
| ~ spl22_6
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4444,f250]) ).
fof(f4633,plain,
( ~ spl22_3
| ~ spl22_17
| spl22_26 ),
inference(avatar_contradiction_clause,[],[f4632]) ).
fof(f4632,plain,
( $false
| ~ spl22_3
| ~ spl22_17
| spl22_26 ),
inference(subsumption_resolution,[],[f4631,f4615]) ).
fof(f4615,plain,
( n7 != sK19
| ~ spl22_3
| ~ spl22_17
| spl22_26 ),
inference(backward_demodulation,[],[f332,f4612]) ).
fof(f4612,plain,
( n7 = sK12
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4611,f64]) ).
fof(f4611,plain,
( sum(n9,n9) = sK12
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4610,f63]) ).
fof(f4610,plain,
( sum(sum(n9,n0),n9) = sK12
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4609,f86]) ).
fof(f4609,plain,
( sum(sum(pred(n10),n0),n9) = sK12
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4608,f95]) ).
fof(f4608,plain,
( sK12 = sum(sum(pred(n10),succ(n10)),n9)
| ~ spl22_3
| ~ spl22_17 ),
inference(backward_demodulation,[],[f4600,f4607]) ).
fof(f4607,plain,
( n10 = sK21
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4606,f174]) ).
fof(f4606,plain,
( sum(n5,n5) = sK21
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4605,f26]) ).
fof(f4605,plain,
( sum(sum(n8,n8),n5) = sK21
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4604,f91]) ).
fof(f4604,plain,
( sum(sum(pred(n9),n8),n5) = sK21
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4603,f188]) ).
fof(f4603,plain,
( sK21 = sum(sum(pred(n9),succ(n7)),n5)
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4602,f16]) ).
fof(f4602,plain,
( sum(sum(pred(n9),succ(n7)),sum(n6,n10)) = sK21
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4601,f20]) ).
fof(f4601,plain,
( sum(sum(pred(n9),succ(n7)),sum(pred(n7),n10)) = sK21
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4444,f238]) ).
fof(f4600,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),n9)
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4599,f63]) ).
fof(f4599,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(n9,n0))
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4598,f86]) ).
fof(f4598,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(pred(n10),n0))
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4597,f95]) ).
fof(f4597,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n10),succ(n10))) = sK12
| ~ spl22_3
| ~ spl22_17 ),
inference(backward_demodulation,[],[f135,f4596]) ).
fof(f4596,plain,
( n10 = sK5
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4595,f212]) ).
fof(f4595,plain,
( sum(n7,n3) = sK5
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4594,f62]) ).
fof(f4594,plain,
( sK5 = sum(n7,sum(n6,n8))
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4593,f20]) ).
fof(f4593,plain,
( sK5 = sum(n7,sum(pred(n7),n8))
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4592,f188]) ).
fof(f4592,plain,
( sK5 = sum(n7,sum(pred(n7),succ(n7)))
| ~ spl22_3
| ~ spl22_17 ),
inference(backward_demodulation,[],[f4562,f238]) ).
fof(f4631,plain,
( n7 = sK19
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4630,f64]) ).
fof(f4630,plain,
( sum(n9,n9) = sK19
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4629,f63]) ).
fof(f4629,plain,
( sum(sum(n9,n0),n9) = sK19
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4628,f95]) ).
fof(f4628,plain,
( sK19 = sum(sum(n9,succ(n10)),n9)
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4627,f63]) ).
fof(f4627,plain,
( sum(sum(n9,succ(n10)),sum(n9,n0)) = sK19
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4626,f86]) ).
fof(f4626,plain,
( sK19 = sum(sum(pred(n10),succ(n10)),sum(pred(n10),n0))
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4625,f4596]) ).
fof(f4625,plain,
( sum(sum(pred(n10),succ(sK5)),sum(pred(sK5),n0)) = sK19
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4624,f95]) ).
fof(f4624,plain,
( sK19 = sum(sum(pred(n10),succ(sK5)),sum(pred(sK5),succ(n10)))
| ~ spl22_3
| ~ spl22_17 ),
inference(forward_demodulation,[],[f30,f4607]) ).
fof(f4623,plain,
( ~ spl22_3
| ~ spl22_17
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4622]) ).
fof(f4622,plain,
( $false
| ~ spl22_3
| ~ spl22_17
| spl22_31 ),
inference(subsumption_resolution,[],[f4621,f4596]) ).
fof(f4621,plain,
( n10 != sK5
| ~ spl22_3
| ~ spl22_17
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4607]) ).
fof(f4590,plain,
( ~ spl22_10
| ~ spl22_17
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4589]) ).
fof(f4589,plain,
( $false
| ~ spl22_10
| ~ spl22_17
| spl22_31 ),
inference(subsumption_resolution,[],[f4588,f4576]) ).
fof(f4576,plain,
( n4 != sK21
| ~ spl22_10
| ~ spl22_17
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4571]) ).
fof(f4571,plain,
( n4 = sK5
| ~ spl22_10
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4570,f74]) ).
fof(f74,plain,
n4 = sum(n7,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4570,plain,
( sum(n7,n8) = sK5
| ~ spl22_10
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4569,f79]) ).
fof(f4569,plain,
( sK5 = sum(n7,sum(n3,n5))
| ~ spl22_10
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4568,f209]) ).
fof(f4568,plain,
( sK5 = sum(n7,sum(pred(n4),n5))
| ~ spl22_10
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4567,f208]) ).
fof(f4567,plain,
( sum(n7,sum(pred(n4),succ(n4))) = sK5
| ~ spl22_10
| ~ spl22_17 ),
inference(backward_demodulation,[],[f4562,f266]) ).
fof(f4588,plain,
( n4 = sK21
| ~ spl22_10
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4587,f142]) ).
fof(f4587,plain,
( sum(n2,n2) = sK21
| ~ spl22_10
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4586,f173]) ).
fof(f4586,plain,
( sum(sum(n8,n5),n2) = sK21
| ~ spl22_10
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4585,f91]) ).
fof(f4585,plain,
( sum(sum(pred(n9),n5),n2) = sK21
| ~ spl22_10
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4584,f208]) ).
fof(f4584,plain,
( sum(sum(pred(n9),succ(n4)),n2) = sK21
| ~ spl22_10
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4583,f172]) ).
fof(f4583,plain,
( sum(sum(pred(n9),succ(n4)),sum(n3,n10)) = sK21
| ~ spl22_10
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4582,f209]) ).
fof(f4582,plain,
( sum(sum(pred(n9),succ(n4)),sum(pred(n4),n10)) = sK21
| ~ spl22_10
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4444,f266]) ).
fof(f4557,plain,
( ~ spl22_9
| ~ spl22_17
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4556]) ).
fof(f4556,plain,
( $false
| ~ spl22_9
| ~ spl22_17
| spl22_31 ),
inference(subsumption_resolution,[],[f4555,f4540]) ).
fof(f4540,plain,
( n6 != sK21
| ~ spl22_9
| ~ spl22_17
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4539]) ).
fof(f4539,plain,
( n6 = sK5
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4538,f124]) ).
fof(f4538,plain,
( sum(n7,n10) = sK5
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4537,f24]) ).
fof(f4537,plain,
( sum(sum(n8,n10),n10) = sK5
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4536,f91]) ).
fof(f4536,plain,
( sK5 = sum(sum(pred(n9),n10),n10)
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4535,f114]) ).
fof(f4535,plain,
( sK5 = sum(sum(pred(n9),succ(n9)),n10)
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4534,f295]) ).
fof(f4534,plain,
( sum(sum(pred(sK1),succ(sK1)),n10) = sK5
| ~ spl22_9 ),
inference(forward_demodulation,[],[f4533,f132]) ).
fof(f4533,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n4,n6))
| ~ spl22_9 ),
inference(forward_demodulation,[],[f4532,f73]) ).
fof(f4532,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n5),n6))
| ~ spl22_9 ),
inference(forward_demodulation,[],[f4531,f44]) ).
fof(f4531,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n5),succ(n5)))
| ~ spl22_9 ),
inference(forward_demodulation,[],[f201,f262]) ).
fof(f4555,plain,
( n6 = sK21
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4554,f157]) ).
fof(f4554,plain,
( sum(n3,n3) = sK21
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4553,f210]) ).
fof(f4553,plain,
( sK21 = sum(sum(n8,n6),n3)
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4552,f91]) ).
fof(f4552,plain,
( sum(sum(pred(n9),n6),n3) = sK21
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4551,f44]) ).
fof(f4551,plain,
( sum(sum(pred(n9),succ(n5)),n3) = sK21
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4550,f167]) ).
fof(f4550,plain,
( sum(sum(pred(n9),succ(n5)),sum(n4,n10)) = sK21
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4549,f73]) ).
fof(f4549,plain,
( sum(sum(pred(n9),succ(n5)),sum(pred(n5),n10)) = sK21
| ~ spl22_9
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4444,f262]) ).
fof(f4527,plain,
( ~ spl22_5
| ~ spl22_17
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4526]) ).
fof(f4526,plain,
( $false
| ~ spl22_5
| ~ spl22_17
| spl22_31 ),
inference(subsumption_resolution,[],[f4525,f4518]) ).
fof(f4518,plain,
( n7 != sK21
| ~ spl22_5
| ~ spl22_17
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4510]) ).
fof(f4510,plain,
( n7 = sK5
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4509,f129]) ).
fof(f4509,plain,
( sum(n7,n0) = sK5
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4508,f24]) ).
fof(f4508,plain,
( sK5 = sum(sum(n8,n10),n0)
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4507,f91]) ).
fof(f4507,plain,
( sK5 = sum(sum(pred(n9),n10),n0)
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4506,f114]) ).
fof(f4506,plain,
( sK5 = sum(sum(pred(n9),succ(n9)),n0)
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4505,f295]) ).
fof(f4505,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n0)
| ~ spl22_5 ),
inference(forward_demodulation,[],[f4504,f107]) ).
fof(f4504,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n10,n1))
| ~ spl22_5 ),
inference(forward_demodulation,[],[f4503,f225]) ).
fof(f4503,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n0),n1))
| ~ spl22_5 ),
inference(forward_demodulation,[],[f4502,f78]) ).
fof(f4502,plain,
( sum(sum(pred(sK1),succ(sK1)),sum(pred(n0),succ(n0))) = sK5
| ~ spl22_5 ),
inference(forward_demodulation,[],[f201,f246]) ).
fof(f4525,plain,
( n7 = sK21
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4524,f64]) ).
fof(f4524,plain,
( sum(n9,n9) = sK21
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4523,f69]) ).
fof(f4523,plain,
( sum(sum(n8,n1),n9) = sK21
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4522,f91]) ).
fof(f4522,plain,
( sum(sum(pred(n9),n1),n9) = sK21
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4521,f78]) ).
fof(f4521,plain,
( sum(sum(pred(n9),succ(n0)),n9) = sK21
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4520,f67]) ).
fof(f4520,plain,
( sum(sum(pred(n9),succ(n0)),sum(n10,n10)) = sK21
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4519,f225]) ).
fof(f4519,plain,
( sum(sum(pred(n9),succ(n0)),sum(pred(n0),n10)) = sK21
| ~ spl22_5
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4444,f246]) ).
fof(f4491,plain,
( ~ spl22_1
| ~ spl22_17
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4490]) ).
fof(f4490,plain,
( $false
| ~ spl22_1
| ~ spl22_17
| spl22_31 ),
inference(subsumption_resolution,[],[f4489,f4463]) ).
fof(f4463,plain,
( n5 = sK5
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4462,f204]) ).
fof(f4462,plain,
( sum(n7,n9) = sK5
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4461,f24]) ).
fof(f4461,plain,
( sK5 = sum(sum(n8,n10),n9)
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4460,f91]) ).
fof(f4460,plain,
( sum(sum(pred(n9),n10),n9) = sK5
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4459,f114]) ).
fof(f4459,plain,
( sK5 = sum(sum(pred(n9),succ(n9)),n9)
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4458,f295]) ).
fof(f4458,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n9)
| ~ spl22_1 ),
inference(forward_demodulation,[],[f4457,f63]) ).
fof(f4457,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n9,n0))
| ~ spl22_1 ),
inference(forward_demodulation,[],[f4456,f86]) ).
fof(f4456,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n10),n0))
| ~ spl22_1 ),
inference(forward_demodulation,[],[f4455,f95]) ).
fof(f4455,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n10),succ(n10)))
| ~ spl22_1 ),
inference(forward_demodulation,[],[f201,f230]) ).
fof(f4489,plain,
( n5 != sK5
| ~ spl22_1
| ~ spl22_17
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4451]) ).
fof(f4451,plain,
( n5 = sK21
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4450,f26]) ).
fof(f4450,plain,
( sum(n8,n8) = sK21
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4449,f183]) ).
fof(f4449,plain,
( sum(sum(n8,n0),n8) = sK21
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4448,f91]) ).
fof(f4448,plain,
( sum(sum(pred(n9),n0),n8) = sK21
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4447,f95]) ).
fof(f4447,plain,
( sum(sum(pred(n9),succ(n10)),n8) = sK21
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4446,f87]) ).
fof(f4446,plain,
( sum(sum(pred(n9),succ(n10)),sum(n9,n10)) = sK21
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4445,f86]) ).
fof(f4445,plain,
( sum(sum(pred(n9),succ(n10)),sum(pred(n10),n10)) = sK21
| ~ spl22_1
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4444,f230]) ).
fof(f4438,plain,
( ~ spl22_11
| ~ spl22_17
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4437]) ).
fof(f4437,plain,
( $false
| ~ spl22_11
| ~ spl22_17
| spl22_31 ),
inference(subsumption_resolution,[],[f4436,f4428]) ).
fof(f4428,plain,
( n8 != sK5
| ~ spl22_11
| ~ spl22_17
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4427]) ).
fof(f4427,plain,
( n8 = sK21
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4426,f99]) ).
fof(f4426,plain,
( sum(n4,n4) = sK21
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4425,f82]) ).
fof(f4425,plain,
( sum(sum(n8,n7),n4) = sK21
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4424,f91]) ).
fof(f4424,plain,
( sum(sum(pred(n9),n7),n4) = sK21
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4423,f9]) ).
fof(f9,plain,
n4 = sum(n5,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4423,plain,
( sK21 = sum(sum(pred(n9),n7),sum(n5,n10))
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4422,f114]) ).
fof(f4422,plain,
( sum(sum(pred(n9),n7),sum(n5,succ(n9))) = sK21
| ~ spl22_11
| ~ spl22_17 ),
inference(backward_demodulation,[],[f4419,f295]) ).
fof(f4419,plain,
( sum(sum(pred(sK1),n7),sum(n5,succ(sK1))) = sK21
| ~ spl22_11 ),
inference(forward_demodulation,[],[f4418,f119]) ).
fof(f4418,plain,
( sum(sum(pred(sK1),succ(n6)),sum(n5,succ(sK1))) = sK21
| ~ spl22_11 ),
inference(forward_demodulation,[],[f4417,f211]) ).
fof(f4417,plain,
( sum(sum(pred(sK1),succ(n6)),sum(pred(n6),succ(sK1))) = sK21
| ~ spl22_11 ),
inference(forward_demodulation,[],[f153,f270]) ).
fof(f4436,plain,
( n8 = sK5
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4435,f103]) ).
fof(f4435,plain,
( sum(n7,n1) = sK5
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4434,f24]) ).
fof(f4434,plain,
( sK5 = sum(sum(n8,n10),n1)
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4433,f91]) ).
fof(f4433,plain,
( sK5 = sum(sum(pred(n9),n10),n1)
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4421,f114]) ).
fof(f4421,plain,
( sK5 = sum(sum(pred(n9),succ(n9)),n1)
| ~ spl22_11
| ~ spl22_17 ),
inference(backward_demodulation,[],[f4416,f295]) ).
fof(f4416,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n1)
| ~ spl22_11 ),
inference(forward_demodulation,[],[f4415,f151]) ).
fof(f4415,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n5,n7))
| ~ spl22_11 ),
inference(forward_demodulation,[],[f4414,f211]) ).
fof(f4414,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n6),n7))
| ~ spl22_11 ),
inference(forward_demodulation,[],[f4410,f119]) ).
fof(f4410,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n6),succ(n6)))
| ~ spl22_11 ),
inference(backward_demodulation,[],[f201,f270]) ).
fof(f4409,plain,
( ~ spl22_7
| ~ spl22_16
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4408]) ).
fof(f4408,plain,
( $false
| ~ spl22_7
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f4407,f4397]) ).
fof(f4397,plain,
( n10 != sK21
| ~ spl22_7
| ~ spl22_16
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4391]) ).
fof(f4391,plain,
( n10 = sK5
| ~ spl22_7
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4390,f36]) ).
fof(f4390,plain,
( sum(n6,n4) = sK5
| ~ spl22_7
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4389,f52]) ).
fof(f4389,plain,
( sum(sum(n2,n4),n4) = sK5
| ~ spl22_7
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4388,f70]) ).
fof(f4388,plain,
( sK5 = sum(sum(pred(n3),n4),n4)
| ~ spl22_7
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4387,f100]) ).
fof(f4387,plain,
( sK5 = sum(sum(pred(n3),succ(n3)),n4)
| ~ spl22_7
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4232,f291]) ).
fof(f4232,plain,
( sum(sum(pred(sK1),succ(sK1)),n4) = sK5
| ~ spl22_7 ),
inference(forward_demodulation,[],[f4231,f120]) ).
fof(f4231,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n1,n3))
| ~ spl22_7 ),
inference(forward_demodulation,[],[f4230,f56]) ).
fof(f4230,plain,
( sum(sum(pred(sK1),succ(sK1)),sum(pred(n2),n3)) = sK5
| ~ spl22_7 ),
inference(forward_demodulation,[],[f4229,f130]) ).
fof(f4229,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n2),succ(n2)))
| ~ spl22_7 ),
inference(forward_demodulation,[],[f201,f254]) ).
fof(f4407,plain,
( n10 = sK21
| ~ spl22_7
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4406,f174]) ).
fof(f4406,plain,
( sum(n5,n5) = sK21
| ~ spl22_7
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4405,f61]) ).
fof(f4405,plain,
( sK21 = sum(sum(n2,n3),n5)
| ~ spl22_7
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4404,f70]) ).
fof(f4404,plain,
( sum(sum(pred(n3),n3),n5) = sK21
| ~ spl22_7
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4403,f126]) ).
fof(f126,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4403,plain,
( sum(sum(pred(n3),n3),sum(n1,n4)) = sK21
| ~ spl22_7
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4402,f100]) ).
fof(f4402,plain,
( sum(sum(pred(n3),n3),sum(n1,succ(n3))) = sK21
| ~ spl22_7
| ~ spl22_16 ),
inference(forward_demodulation,[],[f4228,f291]) ).
fof(f4228,plain,
( sum(sum(pred(sK1),n3),sum(n1,succ(sK1))) = sK21
| ~ spl22_7 ),
inference(forward_demodulation,[],[f4227,f130]) ).
fof(f4227,plain,
( sum(sum(pred(sK1),succ(n2)),sum(n1,succ(sK1))) = sK21
| ~ spl22_7 ),
inference(forward_demodulation,[],[f4226,f56]) ).
fof(f4226,plain,
( sum(sum(pred(sK1),succ(n2)),sum(pred(n2),succ(sK1))) = sK21
| ~ spl22_7 ),
inference(forward_demodulation,[],[f153,f254]) ).
fof(f4381,plain,
( ~ spl22_7
| ~ spl22_20
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4380]) ).
fof(f4380,plain,
( $false
| ~ spl22_7
| ~ spl22_20
| spl22_31 ),
inference(subsumption_resolution,[],[f4379,f4369]) ).
fof(f4369,plain,
( n6 != sK21
| ~ spl22_7
| ~ spl22_20
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4366]) ).
fof(f4366,plain,
( n6 = sK5
| ~ spl22_7
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4365,f52]) ).
fof(f4365,plain,
( sum(n2,n4) = sK5
| ~ spl22_7
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4364,f148]) ).
fof(f4364,plain,
( sK5 = sum(sum(n0,n2),n4)
| ~ spl22_7
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4363,f13]) ).
fof(f4363,plain,
( sK5 = sum(sum(pred(n1),n2),n4)
| ~ spl22_7
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4362,f106]) ).
fof(f4362,plain,
( sK5 = sum(sum(pred(n1),succ(n1)),n4)
| ~ spl22_7
| ~ spl22_20 ),
inference(backward_demodulation,[],[f4232,f307]) ).
fof(f4379,plain,
( n6 = sK21
| ~ spl22_7
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4378,f157]) ).
fof(f4378,plain,
( sum(n3,n3) = sK21
| ~ spl22_7
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4377,f90]) ).
fof(f4377,plain,
( sK21 = sum(sum(n0,n3),n3)
| ~ spl22_7
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4376,f13]) ).
fof(f4376,plain,
( sum(sum(pred(n1),n3),n3) = sK21
| ~ spl22_7
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4375,f149]) ).
fof(f149,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4375,plain,
( sK21 = sum(sum(pred(n1),n3),sum(n1,n2))
| ~ spl22_7
| ~ spl22_20 ),
inference(forward_demodulation,[],[f4361,f106]) ).
fof(f4361,plain,
( sum(sum(pred(n1),n3),sum(n1,succ(n1))) = sK21
| ~ spl22_7
| ~ spl22_20 ),
inference(backward_demodulation,[],[f4228,f307]) ).
fof(f4351,plain,
( ~ spl22_7
| ~ spl22_17
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4350]) ).
fof(f4350,plain,
( $false
| ~ spl22_7
| ~ spl22_17
| spl22_31 ),
inference(subsumption_resolution,[],[f4349,f4343]) ).
fof(f4343,plain,
( n0 != sK21
| ~ spl22_7
| ~ spl22_17
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4334]) ).
fof(f4334,plain,
( n0 = sK5
| ~ spl22_7
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4333,f202]) ).
fof(f4333,plain,
( sum(n7,n4) = sK5
| ~ spl22_7
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4332,f24]) ).
fof(f4332,plain,
( sK5 = sum(sum(n8,n10),n4)
| ~ spl22_7
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4331,f91]) ).
fof(f4331,plain,
( sum(sum(pred(n9),n10),n4) = sK5
| ~ spl22_7
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4330,f114]) ).
fof(f4330,plain,
( sK5 = sum(sum(pred(n9),succ(n9)),n4)
| ~ spl22_7
| ~ spl22_17 ),
inference(backward_demodulation,[],[f4232,f295]) ).
fof(f4349,plain,
( n0 = sK21
| ~ spl22_7
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4348,f219]) ).
fof(f4348,plain,
( sum(n0,n0) = sK21
| ~ spl22_7
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4347,f42]) ).
fof(f4347,plain,
( sum(sum(n8,n3),n0) = sK21
| ~ spl22_7
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4346,f91]) ).
fof(f4346,plain,
( sum(sum(pred(n9),n3),n0) = sK21
| ~ spl22_7
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4345,f164]) ).
fof(f4345,plain,
( sum(sum(pred(n9),n3),sum(n1,n10)) = sK21
| ~ spl22_7
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4344,f114]) ).
fof(f4344,plain,
( sK21 = sum(sum(pred(n9),n3),sum(n1,succ(n9)))
| ~ spl22_7
| ~ spl22_17 ),
inference(forward_demodulation,[],[f4228,f295]) ).
fof(f4329,plain,
( ~ spl22_7
| ~ spl22_19
| spl22_26 ),
inference(avatar_contradiction_clause,[],[f4328]) ).
fof(f4328,plain,
( $false
| ~ spl22_7
| ~ spl22_19
| spl22_26 ),
inference(subsumption_resolution,[],[f4327,f4306]) ).
fof(f4306,plain,
( n4 != sK19
| ~ spl22_7
| ~ spl22_19
| spl22_26 ),
inference(backward_demodulation,[],[f332,f4303]) ).
fof(f4303,plain,
( n4 = sK12
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4302,f142]) ).
fof(f4302,plain,
( sum(n2,n2) = sK12
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4301,f148]) ).
fof(f4301,plain,
( sum(sum(n0,n2),n2) = sK12
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4300,f13]) ).
fof(f4300,plain,
( sK12 = sum(sum(pred(n1),n2),n2)
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4299,f106]) ).
fof(f4299,plain,
( sK12 = sum(sum(pred(n1),succ(n1)),n2)
| ~ spl22_7
| ~ spl22_19 ),
inference(backward_demodulation,[],[f4292,f4298]) ).
fof(f4298,plain,
( n1 = sK21
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4297,f11]) ).
fof(f4297,plain,
( sum(n6,n6) = sK21
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4296,f157]) ).
fof(f4296,plain,
( sum(sum(n3,n3),n6) = sK21
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4295,f209]) ).
fof(f4295,plain,
( sK21 = sum(sum(pred(n4),n3),n6)
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4294,f108]) ).
fof(f4294,plain,
( sum(sum(pred(n4),n3),sum(n1,n5)) = sK21
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4293,f208]) ).
fof(f4293,plain,
( sK21 = sum(sum(pred(n4),n3),sum(n1,succ(n4)))
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4228,f303]) ).
fof(f4292,plain,
( sum(sum(pred(sK21),succ(sK21)),n2) = sK12
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4291,f148]) ).
fof(f4291,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(n0,n2)) = sK12
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4290,f13]) ).
fof(f4290,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(pred(n1),n2))
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4289,f106]) ).
fof(f4289,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n1),succ(n1))) = sK12
| ~ spl22_7
| ~ spl22_19 ),
inference(backward_demodulation,[],[f135,f4288]) ).
fof(f4288,plain,
( n1 = sK5
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4287,f179]) ).
fof(f4287,plain,
( sum(n8,n4) = sK5
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4286,f79]) ).
fof(f4286,plain,
( sK5 = sum(sum(n3,n5),n4)
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4285,f209]) ).
fof(f4285,plain,
( sum(sum(pred(n4),n5),n4) = sK5
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4284,f208]) ).
fof(f4284,plain,
( sK5 = sum(sum(pred(n4),succ(n4)),n4)
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4232,f303]) ).
fof(f4327,plain,
( n4 = sK19
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4326,f142]) ).
fof(f4326,plain,
( sum(n2,n2) = sK19
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4325,f148]) ).
fof(f4325,plain,
( sum(sum(n0,n2),n2) = sK19
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4324,f106]) ).
fof(f4324,plain,
( sum(sum(n0,succ(n1)),n2) = sK19
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4323,f148]) ).
fof(f4323,plain,
( sum(sum(n0,succ(n1)),sum(n0,n2)) = sK19
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4322,f13]) ).
fof(f4322,plain,
( sK19 = sum(sum(pred(n1),succ(n1)),sum(pred(n1),n2))
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4321,f4288]) ).
fof(f4321,plain,
( sum(sum(pred(n1),succ(sK5)),sum(pred(sK5),n2)) = sK19
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f4320,f106]) ).
fof(f4320,plain,
( sK19 = sum(sum(pred(n1),succ(sK5)),sum(pred(sK5),succ(n1)))
| ~ spl22_7
| ~ spl22_19 ),
inference(forward_demodulation,[],[f30,f4298]) ).
fof(f4318,plain,
( ~ spl22_7
| ~ spl22_19
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4317]) ).
fof(f4317,plain,
( $false
| ~ spl22_7
| ~ spl22_19
| spl22_31 ),
inference(subsumption_resolution,[],[f4316,f4288]) ).
fof(f4316,plain,
( n1 != sK5
| ~ spl22_7
| ~ spl22_19
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4298]) ).
fof(f4282,plain,
( ~ spl22_7
| ~ spl22_14
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4281]) ).
fof(f4281,plain,
( $false
| ~ spl22_7
| ~ spl22_14
| spl22_31 ),
inference(subsumption_resolution,[],[f4280,f4268]) ).
fof(f4268,plain,
( n8 != sK5
| ~ spl22_7
| ~ spl22_14
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4266]) ).
fof(f4266,plain,
( n8 = sK21
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4265,f99]) ).
fof(f4265,plain,
( sum(n4,n4) = sK21
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4264,f120]) ).
fof(f4264,plain,
( sum(sum(n1,n3),n4) = sK21
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4263,f56]) ).
fof(f4263,plain,
( sum(sum(pred(n2),n3),n4) = sK21
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4262,f120]) ).
fof(f4262,plain,
( sum(sum(pred(n2),n3),sum(n1,n3)) = sK21
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4261,f130]) ).
fof(f4261,plain,
( sum(sum(pred(n2),n3),sum(n1,succ(n2))) = sK21
| ~ spl22_7
| ~ spl22_14 ),
inference(backward_demodulation,[],[f4228,f283]) ).
fof(f4280,plain,
( n8 = sK5
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4279,f99]) ).
fof(f4279,plain,
( sum(n4,n4) = sK5
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4278,f120]) ).
fof(f4278,plain,
( sK5 = sum(sum(n1,n3),n4)
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4277,f56]) ).
fof(f4277,plain,
( sK5 = sum(sum(pred(n2),n3),n4)
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4276,f130]) ).
fof(f4276,plain,
( sK5 = sum(sum(pred(n2),succ(n2)),n4)
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f4232,f283]) ).
fof(f4253,plain,
( ~ spl22_7
| ~ spl22_21
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4252]) ).
fof(f4252,plain,
( $false
| ~ spl22_7
| ~ spl22_21
| spl22_31 ),
inference(subsumption_resolution,[],[f4251,f4241]) ).
fof(f4241,plain,
( n2 != sK5
| ~ spl22_7
| ~ spl22_21
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4239]) ).
fof(f4239,plain,
( n2 = sK21
| ~ spl22_7
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4238,f197]) ).
fof(f4238,plain,
( sum(n1,n1) = sK21
| ~ spl22_7
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4237,f155]) ).
fof(f4237,plain,
( sum(sum(n9,n3),n1) = sK21
| ~ spl22_7
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4236,f86]) ).
fof(f4236,plain,
( sK21 = sum(sum(pred(n10),n3),n1)
| ~ spl22_7
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4235,f111]) ).
fof(f4235,plain,
( sum(sum(pred(n10),n3),sum(n1,n0)) = sK21
| ~ spl22_7
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4233,f95]) ).
fof(f4233,plain,
( sK21 = sum(sum(pred(n10),n3),sum(n1,succ(n10)))
| ~ spl22_7
| ~ spl22_21 ),
inference(backward_demodulation,[],[f4228,f311]) ).
fof(f4251,plain,
( n2 = sK5
| ~ spl22_7
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4250,f169]) ).
fof(f4250,plain,
( sum(n9,n4) = sK5
| ~ spl22_7
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4249,f63]) ).
fof(f4249,plain,
( sK5 = sum(sum(n9,n0),n4)
| ~ spl22_7
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4248,f86]) ).
fof(f4248,plain,
( sK5 = sum(sum(pred(n10),n0),n4)
| ~ spl22_7
| ~ spl22_21 ),
inference(forward_demodulation,[],[f4234,f95]) ).
fof(f4234,plain,
( sK5 = sum(sum(pred(n10),succ(n10)),n4)
| ~ spl22_7
| ~ spl22_21 ),
inference(backward_demodulation,[],[f4232,f311]) ).
fof(f4224,plain,
( ~ spl22_7
| ~ spl22_13
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4223]) ).
fof(f4223,plain,
( $false
| ~ spl22_7
| ~ spl22_13
| spl22_31 ),
inference(subsumption_resolution,[],[f4222,f4211]) ).
fof(f4211,plain,
( n3 != sK5
| ~ spl22_7
| ~ spl22_13
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4210]) ).
fof(f4210,plain,
( n3 = sK21
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4209,f216]) ).
fof(f4209,plain,
( sum(n7,n7) = sK21
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4208,f6]) ).
fof(f4208,plain,
( sum(sum(n4,n3),n7) = sK21
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4207,f130]) ).
fof(f4207,plain,
( sum(sum(n4,succ(n2)),n7) = sK21
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4206,f57]) ).
fof(f4206,plain,
( sK21 = sum(sum(n4,succ(n2)),sum(n1,n6))
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4205,f56]) ).
fof(f4205,plain,
( sum(sum(n4,succ(n2)),sum(pred(n2),n6)) = sK21
| ~ spl22_7
| ~ spl22_13 ),
inference(backward_demodulation,[],[f4194,f254]) ).
fof(f4194,plain,
( sum(sum(n4,succ(sK9)),sum(pred(sK9),n6)) = sK21
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4193,f73]) ).
fof(f4193,plain,
( sum(sum(pred(n5),succ(sK9)),sum(pred(sK9),n6)) = sK21
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4185,f44]) ).
fof(f4185,plain,
( sum(sum(pred(n5),succ(sK9)),sum(pred(sK9),succ(n5))) = sK21
| ~ spl22_13 ),
inference(backward_demodulation,[],[f153,f279]) ).
fof(f4222,plain,
( n3 = sK5
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4221,f176]) ).
fof(f4221,plain,
( sum(n10,n4) = sK5
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4220,f120]) ).
fof(f4220,plain,
( sum(n10,sum(n1,n3)) = sK5
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4219,f56]) ).
fof(f4219,plain,
( sum(n10,sum(pred(n2),n3)) = sK5
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4204,f130]) ).
fof(f4204,plain,
( sum(n10,sum(pred(n2),succ(n2))) = sK5
| ~ spl22_7
| ~ spl22_13 ),
inference(backward_demodulation,[],[f4192,f254]) ).
fof(f4192,plain,
( sK5 = sum(n10,sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4191,f132]) ).
fof(f4191,plain,
( sK5 = sum(sum(n4,n6),sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4190,f73]) ).
fof(f4190,plain,
( sK5 = sum(sum(pred(n5),n6),sum(pred(sK9),succ(sK9)))
| ~ spl22_13 ),
inference(forward_demodulation,[],[f4186,f44]) ).
fof(f4186,plain,
( sum(sum(pred(n5),succ(n5)),sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_13 ),
inference(backward_demodulation,[],[f201,f279]) ).
fof(f4184,plain,
( ~ spl22_5
| ~ spl22_15
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4183]) ).
fof(f4183,plain,
( $false
| ~ spl22_5
| ~ spl22_15
| spl22_31 ),
inference(subsumption_resolution,[],[f4182,f4171]) ).
fof(f4171,plain,
( n1 != sK5
| ~ spl22_5
| ~ spl22_15
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4170]) ).
fof(f4170,plain,
( n1 = sK21
| ~ spl22_5
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4169,f11]) ).
fof(f4169,plain,
( sum(n6,n6) = sK21
| ~ spl22_5
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4168,f156]) ).
fof(f4168,plain,
( sum(sum(n5,n1),n6) = sK21
| ~ spl22_5
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4167,f78]) ).
fof(f4167,plain,
( sum(sum(n5,succ(n0)),n6) = sK21
| ~ spl22_5
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4166,f214]) ).
fof(f4166,plain,
( sum(sum(n5,succ(n0)),sum(n10,n7)) = sK21
| ~ spl22_5
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4164,f225]) ).
fof(f4164,plain,
( sum(sum(n5,succ(n0)),sum(pred(n0),n7)) = sK21
| ~ spl22_5
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3953,f246]) ).
fof(f3953,plain,
( sum(sum(n5,succ(sK9)),sum(pred(sK9),n7)) = sK21
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3952,f211]) ).
fof(f3952,plain,
( sum(sum(pred(n6),succ(sK9)),sum(pred(sK9),n7)) = sK21
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3951,f119]) ).
fof(f3951,plain,
( sum(sum(pred(n6),succ(sK9)),sum(pred(sK9),succ(n6))) = sK21
| ~ spl22_15 ),
inference(forward_demodulation,[],[f153,f287]) ).
fof(f287,plain,
( n6 = sK1
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl22_15
<=> n6 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
fof(f4182,plain,
( n1 = sK5
| ~ spl22_5
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4181,f111]) ).
fof(f4181,plain,
( sum(n1,n0) = sK5
| ~ spl22_5
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4180,f107]) ).
fof(f4180,plain,
( sK5 = sum(n1,sum(n10,n1))
| ~ spl22_5
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4179,f225]) ).
fof(f4179,plain,
( sK5 = sum(n1,sum(pred(n0),n1))
| ~ spl22_5
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4165,f78]) ).
fof(f4165,plain,
( sK5 = sum(n1,sum(pred(n0),succ(n0)))
| ~ spl22_5
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3983,f246]) ).
fof(f3983,plain,
( sK5 = sum(n1,sum(pred(sK9),succ(sK9)))
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3982,f151]) ).
fof(f3982,plain,
( sK5 = sum(sum(n5,n7),sum(pred(sK9),succ(sK9)))
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3981,f211]) ).
fof(f3981,plain,
( sK5 = sum(sum(pred(n6),n7),sum(pred(sK9),succ(sK9)))
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3980,f119]) ).
fof(f3980,plain,
( sK5 = sum(sum(pred(n6),succ(n6)),sum(pred(sK9),succ(sK9)))
| ~ spl22_15 ),
inference(forward_demodulation,[],[f201,f287]) ).
fof(f4152,plain,
( ~ spl22_3
| ~ spl22_15
| spl22_26 ),
inference(avatar_contradiction_clause,[],[f4151]) ).
fof(f4151,plain,
( $false
| ~ spl22_3
| ~ spl22_15
| spl22_26 ),
inference(subsumption_resolution,[],[f4150,f4131]) ).
fof(f4131,plain,
( n5 != sK12
| ~ spl22_3
| ~ spl22_15
| spl22_26 ),
inference(backward_demodulation,[],[f332,f4130]) ).
fof(f4130,plain,
( n5 = sK19
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4129,f26]) ).
fof(f4129,plain,
( sum(n8,n8) = sK19
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4128,f79]) ).
fof(f4128,plain,
( sum(sum(n3,n5),n8) = sK19
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4127,f208]) ).
fof(f4127,plain,
( sK19 = sum(sum(n3,succ(n4)),n8)
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4126,f79]) ).
fof(f4126,plain,
( sum(sum(n3,succ(n4)),sum(n3,n5)) = sK19
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4125,f209]) ).
fof(f4125,plain,
( sum(sum(pred(n4),succ(n4)),sum(pred(n4),n5)) = sK19
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4124,f4122]) ).
fof(f4122,plain,
( n4 = sK5
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4121,f120]) ).
fof(f4121,plain,
( sum(n1,n3) = sK5
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4120,f62]) ).
fof(f4120,plain,
( sK5 = sum(n1,sum(n6,n8))
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4119,f20]) ).
fof(f4119,plain,
( sK5 = sum(n1,sum(pred(n7),n8))
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4118,f188]) ).
fof(f4118,plain,
( sK5 = sum(n1,sum(pred(n7),succ(n7)))
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3983,f238]) ).
fof(f4124,plain,
( sK19 = sum(sum(pred(n4),succ(sK5)),sum(pred(sK5),n5))
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4123,f208]) ).
fof(f4123,plain,
( sum(sum(pred(n4),succ(sK5)),sum(pred(sK5),succ(n4))) = sK19
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f30,f4117]) ).
fof(f4117,plain,
( n4 = sK21
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4116,f142]) ).
fof(f4116,plain,
( sum(n2,n2) = sK21
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4115,f45]) ).
fof(f45,plain,
n2 = sum(n5,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4115,plain,
( sK21 = sum(sum(n5,n8),n2)
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4114,f188]) ).
fof(f4114,plain,
( sum(sum(n5,succ(n7)),n2) = sK21
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4113,f110]) ).
fof(f4113,plain,
( sum(sum(n5,succ(n7)),sum(n6,n7)) = sK21
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4112,f20]) ).
fof(f4112,plain,
( sum(sum(n5,succ(n7)),sum(pred(n7),n7)) = sK21
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3953,f238]) ).
fof(f4150,plain,
( n5 = sK12
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4149,f26]) ).
fof(f4149,plain,
( sum(n8,n8) = sK12
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4148,f79]) ).
fof(f4148,plain,
( sK12 = sum(sum(n3,n5),n8)
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4147,f209]) ).
fof(f4147,plain,
( sK12 = sum(sum(pred(n4),n5),n8)
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4146,f208]) ).
fof(f4146,plain,
( sK12 = sum(sum(pred(n4),succ(n4)),n8)
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4145,f4117]) ).
fof(f4145,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),n8)
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4144,f79]) ).
fof(f4144,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(n3,n5)) = sK12
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4143,f209]) ).
fof(f4143,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(pred(n4),n5))
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4142,f208]) ).
fof(f4142,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n4),succ(n4))) = sK12
| ~ spl22_3
| ~ spl22_15 ),
inference(forward_demodulation,[],[f135,f4122]) ).
fof(f4141,plain,
( ~ spl22_3
| ~ spl22_15
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4140]) ).
fof(f4140,plain,
( $false
| ~ spl22_3
| ~ spl22_15
| spl22_31 ),
inference(subsumption_resolution,[],[f4139,f4122]) ).
fof(f4139,plain,
( n4 != sK5
| ~ spl22_3
| ~ spl22_15
| spl22_31 ),
inference(forward_demodulation,[],[f352,f4117]) ).
fof(f4109,plain,
( ~ spl22_11
| ~ spl22_15
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4108]) ).
fof(f4108,plain,
( $false
| ~ spl22_11
| ~ spl22_15
| spl22_31 ),
inference(subsumption_resolution,[],[f4107,f4092]) ).
fof(f4092,plain,
( n2 != sK21
| ~ spl22_11
| ~ spl22_15
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4090]) ).
fof(f4090,plain,
( n2 = sK5
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4089,f197]) ).
fof(f4089,plain,
( sum(n1,n1) = sK5
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4088,f151]) ).
fof(f4088,plain,
( sK5 = sum(n1,sum(n5,n7))
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4087,f211]) ).
fof(f4087,plain,
( sK5 = sum(n1,sum(pred(n6),n7))
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4086,f119]) ).
fof(f4086,plain,
( sK5 = sum(n1,sum(pred(n6),succ(n6)))
| ~ spl22_11
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3983,f270]) ).
fof(f4107,plain,
( n2 = sK21
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4106,f197]) ).
fof(f4106,plain,
( sum(n1,n1) = sK21
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4105,f151]) ).
fof(f4105,plain,
( sum(sum(n5,n7),n1) = sK21
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4104,f119]) ).
fof(f4104,plain,
( sum(sum(n5,succ(n6)),n1) = sK21
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4103,f151]) ).
fof(f4103,plain,
( sum(sum(n5,succ(n6)),sum(n5,n7)) = sK21
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4102,f211]) ).
fof(f4102,plain,
( sum(sum(n5,succ(n6)),sum(pred(n6),n7)) = sK21
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3953,f270]) ).
fof(f4084,plain,
( ~ spl22_7
| ~ spl22_15
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4083]) ).
fof(f4083,plain,
( $false
| ~ spl22_7
| ~ spl22_15
| spl22_31 ),
inference(subsumption_resolution,[],[f4082,f4073]) ).
fof(f4073,plain,
( n5 != sK5
| ~ spl22_7
| ~ spl22_15
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4070]) ).
fof(f4070,plain,
( n5 = sK21
| ~ spl22_7
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4069,f26]) ).
fof(f4069,plain,
( sum(n8,n8) = sK21
| ~ spl22_7
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4068,f10]) ).
fof(f4068,plain,
( sum(sum(n5,n3),n8) = sK21
| ~ spl22_7
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4067,f130]) ).
fof(f4067,plain,
( sum(sum(n5,succ(n2)),n8) = sK21
| ~ spl22_7
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4066,f162]) ).
fof(f4066,plain,
( sum(sum(n5,succ(n2)),sum(n1,n7)) = sK21
| ~ spl22_7
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4064,f56]) ).
fof(f4064,plain,
( sum(sum(n5,succ(n2)),sum(pred(n2),n7)) = sK21
| ~ spl22_7
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3953,f254]) ).
fof(f4082,plain,
( n5 = sK5
| ~ spl22_7
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4081,f126]) ).
fof(f4081,plain,
( sum(n1,n4) = sK5
| ~ spl22_7
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4080,f120]) ).
fof(f4080,plain,
( sK5 = sum(n1,sum(n1,n3))
| ~ spl22_7
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4079,f56]) ).
fof(f4079,plain,
( sum(n1,sum(pred(n2),n3)) = sK5
| ~ spl22_7
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4065,f130]) ).
fof(f4065,plain,
( sK5 = sum(n1,sum(pred(n2),succ(n2)))
| ~ spl22_7
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3983,f254]) ).
fof(f4048,plain,
( ~ spl22_1
| ~ spl22_15
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4047]) ).
fof(f4047,plain,
( $false
| ~ spl22_1
| ~ spl22_15
| spl22_31 ),
inference(subsumption_resolution,[],[f4046,f4040]) ).
fof(f4040,plain,
( n10 != sK21
| ~ spl22_1
| ~ spl22_15
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4039]) ).
fof(f4039,plain,
( n10 = sK5
| ~ spl22_1
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4038,f58]) ).
fof(f4038,plain,
( sum(n1,n9) = sK5
| ~ spl22_1
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4037,f63]) ).
fof(f4037,plain,
( sK5 = sum(n1,sum(n9,n0))
| ~ spl22_1
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4036,f86]) ).
fof(f4036,plain,
( sK5 = sum(n1,sum(pred(n10),n0))
| ~ spl22_1
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4035,f95]) ).
fof(f4035,plain,
( sK5 = sum(n1,sum(pred(n10),succ(n10)))
| ~ spl22_1
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3983,f230]) ).
fof(f4046,plain,
( n10 = sK21
| ~ spl22_1
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4045,f174]) ).
fof(f4045,plain,
( sum(n5,n5) = sK21
| ~ spl22_1
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4044,f101]) ).
fof(f4044,plain,
( sum(sum(n5,n0),n5) = sK21
| ~ spl22_1
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4043,f95]) ).
fof(f4043,plain,
( sK21 = sum(sum(n5,succ(n10)),n5)
| ~ spl22_1
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4042,f25]) ).
fof(f4042,plain,
( sum(sum(n5,succ(n10)),sum(n9,n7)) = sK21
| ~ spl22_1
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4041,f86]) ).
fof(f4041,plain,
( sum(sum(n5,succ(n10)),sum(pred(n10),n7)) = sK21
| ~ spl22_1
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3953,f230]) ).
fof(f4026,plain,
( ~ spl22_10
| ~ spl22_15
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4025]) ).
fof(f4025,plain,
( $false
| ~ spl22_10
| ~ spl22_15
| spl22_31 ),
inference(subsumption_resolution,[],[f4024,f4016]) ).
fof(f4016,plain,
( n9 != sK21
| ~ spl22_10
| ~ spl22_15
| spl22_31 ),
inference(backward_demodulation,[],[f352,f4015]) ).
fof(f4015,plain,
( n9 = sK5
| ~ spl22_10
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4014,f180]) ).
fof(f4014,plain,
( sum(n1,n8) = sK5
| ~ spl22_10
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4013,f79]) ).
fof(f4013,plain,
( sK5 = sum(n1,sum(n3,n5))
| ~ spl22_10
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4012,f209]) ).
fof(f4012,plain,
( sK5 = sum(n1,sum(pred(n4),n5))
| ~ spl22_10
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4011,f208]) ).
fof(f4011,plain,
( sK5 = sum(n1,sum(pred(n4),succ(n4)))
| ~ spl22_10
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3983,f266]) ).
fof(f4024,plain,
( n9 = sK21
| ~ spl22_10
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4023,f67]) ).
fof(f4023,plain,
( sum(n10,n10) = sK21
| ~ spl22_10
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4022,f174]) ).
fof(f4022,plain,
( sK21 = sum(sum(n5,n5),n10)
| ~ spl22_10
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4021,f208]) ).
fof(f4021,plain,
( sum(sum(n5,succ(n4)),n10) = sK21
| ~ spl22_10
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4020,f68]) ).
fof(f4020,plain,
( sum(sum(n5,succ(n4)),sum(n3,n7)) = sK21
| ~ spl22_10
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4010,f209]) ).
fof(f4010,plain,
( sum(sum(n5,succ(n4)),sum(pred(n4),n7)) = sK21
| ~ spl22_10
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3953,f266]) ).
fof(f4003,plain,
( ~ spl22_9
| ~ spl22_15
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f4002]) ).
fof(f4002,plain,
( $false
| ~ spl22_9
| ~ spl22_15
| spl22_31 ),
inference(subsumption_resolution,[],[f4001,f3995]) ).
fof(f3995,plain,
( n0 != sK5
| ~ spl22_9
| ~ spl22_15
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3993]) ).
fof(f3993,plain,
( n0 = sK21
| ~ spl22_9
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3992,f219]) ).
fof(f3992,plain,
( sum(n0,n0) = sK21
| ~ spl22_9
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3991,f133]) ).
fof(f3991,plain,
( sum(sum(n5,n6),n0) = sK21
| ~ spl22_9
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3990,f44]) ).
fof(f3990,plain,
( sum(sum(n5,succ(n5)),n0) = sK21
| ~ spl22_9
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3989,f75]) ).
fof(f3989,plain,
( sum(sum(n5,succ(n5)),sum(n4,n7)) = sK21
| ~ spl22_9
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3987,f73]) ).
fof(f3987,plain,
( sum(sum(n5,succ(n5)),sum(pred(n5),n7)) = sK21
| ~ spl22_9
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3953,f262]) ).
fof(f4001,plain,
( n0 = sK5
| ~ spl22_9
| ~ spl22_15 ),
inference(forward_demodulation,[],[f4000,f164]) ).
fof(f4000,plain,
( sum(n1,n10) = sK5
| ~ spl22_9
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3999,f132]) ).
fof(f3999,plain,
( sK5 = sum(n1,sum(n4,n6))
| ~ spl22_9
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3998,f73]) ).
fof(f3998,plain,
( sK5 = sum(n1,sum(pred(n5),n6))
| ~ spl22_9
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3988,f44]) ).
fof(f3988,plain,
( sum(n1,sum(pred(n5),succ(n5))) = sK5
| ~ spl22_9
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3983,f262]) ).
fof(f3979,plain,
( ~ spl22_4
| ~ spl22_15
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3978]) ).
fof(f3978,plain,
( $false
| ~ spl22_4
| ~ spl22_15
| spl22_31 ),
inference(subsumption_resolution,[],[f3977,f3962]) ).
fof(f3962,plain,
( n6 != sK5
| ~ spl22_4
| ~ spl22_15
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3960]) ).
fof(f3960,plain,
( n6 = sK21
| ~ spl22_4
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3959,f157]) ).
fof(f3959,plain,
( sum(n3,n3) = sK21
| ~ spl22_4
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3958,f115]) ).
fof(f115,plain,
n3 = sum(n5,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f3958,plain,
( sK21 = sum(sum(n5,n9),n3)
| ~ spl22_4
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3957,f40]) ).
fof(f3957,plain,
( sum(sum(n5,succ(n8)),n3) = sK21
| ~ spl22_4
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3956,f216]) ).
fof(f3956,plain,
( sum(sum(n5,succ(n8)),sum(n7,n7)) = sK21
| ~ spl22_4
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3955,f60]) ).
fof(f3955,plain,
( sum(sum(n5,succ(n8)),sum(pred(n8),n7)) = sK21
| ~ spl22_4
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3953,f242]) ).
fof(f3977,plain,
( n6 = sK5
| ~ spl22_4
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3976,f108]) ).
fof(f3976,plain,
( sum(n1,n5) = sK5
| ~ spl22_4
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3975,f151]) ).
fof(f3975,plain,
( sK5 = sum(sum(n5,n7),n5)
| ~ spl22_4
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3974,f211]) ).
fof(f3974,plain,
( sK5 = sum(sum(pred(n6),n7),n5)
| ~ spl22_4
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3973,f119]) ).
fof(f3973,plain,
( sK5 = sum(sum(pred(n6),succ(n6)),n5)
| ~ spl22_4
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3972,f287]) ).
fof(f3972,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n5)
| ~ spl22_4 ),
inference(forward_demodulation,[],[f3971,f204]) ).
fof(f3971,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n7,n9))
| ~ spl22_4 ),
inference(forward_demodulation,[],[f3970,f60]) ).
fof(f3970,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n8),n9))
| ~ spl22_4 ),
inference(forward_demodulation,[],[f3969,f40]) ).
fof(f3969,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n8),succ(n8)))
| ~ spl22_4 ),
inference(forward_demodulation,[],[f201,f242]) ).
fof(f3950,plain,
( ~ spl22_6
| ~ spl22_15
| spl22_26 ),
inference(avatar_contradiction_clause,[],[f3949]) ).
fof(f3949,plain,
( $false
| ~ spl22_6
| ~ spl22_15
| spl22_26 ),
inference(subsumption_resolution,[],[f3948,f3928]) ).
fof(f3928,plain,
( n10 != sK19
| ~ spl22_6
| ~ spl22_15
| spl22_26 ),
inference(backward_demodulation,[],[f332,f3927]) ).
fof(f3927,plain,
( n10 = sK12
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3926,f174]) ).
fof(f3926,plain,
( sum(n5,n5) = sK12
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3925,f204]) ).
fof(f3925,plain,
( sum(n5,sum(n7,n9)) = sK12
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3924,f60]) ).
fof(f3924,plain,
( sK12 = sum(n5,sum(pred(n8),n9))
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3923,f40]) ).
fof(f3923,plain,
( sK12 = sum(n5,sum(pred(n8),succ(n8)))
| ~ spl22_6
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3913,f3922]) ).
fof(f3922,plain,
( n8 = sK5
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3921,f162]) ).
fof(f3921,plain,
( sum(n1,n7) = sK5
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3920,f151]) ).
fof(f3920,plain,
( sK5 = sum(sum(n5,n7),n7)
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3919,f211]) ).
fof(f3919,plain,
( sK5 = sum(sum(pred(n6),n7),n7)
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3918,f119]) ).
fof(f3918,plain,
( sK5 = sum(sum(pred(n6),succ(n6)),n7)
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3917,f287]) ).
fof(f3917,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n7)
| ~ spl22_6 ),
inference(forward_demodulation,[],[f3916,f24]) ).
fof(f3916,plain,
( sum(sum(pred(sK1),succ(sK1)),sum(n8,n10)) = sK5
| ~ spl22_6 ),
inference(forward_demodulation,[],[f3915,f91]) ).
fof(f3915,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n9),n10))
| ~ spl22_6 ),
inference(forward_demodulation,[],[f3914,f114]) ).
fof(f3914,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n9),succ(n9)))
| ~ spl22_6 ),
inference(forward_demodulation,[],[f201,f250]) ).
fof(f3913,plain,
( sum(n5,sum(pred(sK5),succ(sK5))) = sK12
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3912,f204]) ).
fof(f3912,plain,
( sK12 = sum(sum(n7,n9),sum(pred(sK5),succ(sK5)))
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3911,f60]) ).
fof(f3911,plain,
( sum(sum(pred(n8),n9),sum(pred(sK5),succ(sK5))) = sK12
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3910,f40]) ).
fof(f3910,plain,
( sK12 = sum(sum(pred(n8),succ(n8)),sum(pred(sK5),succ(sK5)))
| ~ spl22_6
| ~ spl22_15 ),
inference(backward_demodulation,[],[f135,f3909]) ).
fof(f3909,plain,
( n8 = sK21
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3908,f99]) ).
fof(f3908,plain,
( sum(n4,n4) = sK21
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3907,f9]) ).
fof(f3907,plain,
( sum(sum(n5,n10),n4) = sK21
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3906,f211]) ).
fof(f3906,plain,
( sK21 = sum(sum(pred(n6),n10),n4)
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3905,f82]) ).
fof(f3905,plain,
( sum(sum(pred(n6),n10),sum(n8,n7)) = sK21
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3904,f119]) ).
fof(f3904,plain,
( sum(sum(pred(n6),n10),sum(n8,succ(n6))) = sK21
| ~ spl22_6
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3901,f287]) ).
fof(f3901,plain,
( sum(sum(pred(sK1),n10),sum(n8,succ(sK1))) = sK21
| ~ spl22_6 ),
inference(forward_demodulation,[],[f3900,f114]) ).
fof(f3900,plain,
( sum(sum(pred(sK1),succ(n9)),sum(n8,succ(sK1))) = sK21
| ~ spl22_6 ),
inference(forward_demodulation,[],[f3899,f91]) ).
fof(f3899,plain,
( sum(sum(pred(sK1),succ(n9)),sum(pred(n9),succ(sK1))) = sK21
| ~ spl22_6 ),
inference(backward_demodulation,[],[f153,f250]) ).
fof(f3948,plain,
( n10 = sK19
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3947,f174]) ).
fof(f3947,plain,
( sum(n5,n5) = sK19
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3946,f204]) ).
fof(f3946,plain,
( sum(sum(n7,n9),n5) = sK19
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3945,f40]) ).
fof(f3945,plain,
( sum(sum(n7,succ(n8)),n5) = sK19
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3944,f204]) ).
fof(f3944,plain,
( sum(sum(n7,succ(n8)),sum(n7,n9)) = sK19
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3943,f60]) ).
fof(f3943,plain,
( sum(sum(pred(n8),succ(n8)),sum(pred(n8),n9)) = sK19
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3942,f3922]) ).
fof(f3942,plain,
( sK19 = sum(sum(pred(n8),succ(sK5)),sum(pred(sK5),n9))
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3941,f40]) ).
fof(f3941,plain,
( sum(sum(pred(n8),succ(sK5)),sum(pred(sK5),succ(n8))) = sK19
| ~ spl22_6
| ~ spl22_15 ),
inference(forward_demodulation,[],[f30,f3909]) ).
fof(f3939,plain,
( ~ spl22_6
| ~ spl22_15
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3938]) ).
fof(f3938,plain,
( $false
| ~ spl22_6
| ~ spl22_15
| spl22_31 ),
inference(subsumption_resolution,[],[f3937,f3922]) ).
fof(f3937,plain,
( n8 != sK5
| ~ spl22_6
| ~ spl22_15
| spl22_31 ),
inference(forward_demodulation,[],[f352,f3909]) ).
fof(f3897,plain,
( ~ spl22_8
| ~ spl22_20
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3896]) ).
fof(f3896,plain,
( $false
| ~ spl22_8
| ~ spl22_20
| spl22_31 ),
inference(subsumption_resolution,[],[f3895,f3885]) ).
fof(f3885,plain,
( n4 != sK5
| ~ spl22_8
| ~ spl22_20
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3883]) ).
fof(f3883,plain,
( n4 = sK21
| ~ spl22_8
| ~ spl22_20 ),
inference(forward_demodulation,[],[f3882,f142]) ).
fof(f3882,plain,
( sum(n2,n2) = sK21
| ~ spl22_8
| ~ spl22_20 ),
inference(forward_demodulation,[],[f3881,f148]) ).
fof(f3881,plain,
( sum(sum(n0,n2),n2) = sK21
| ~ spl22_8
| ~ spl22_20 ),
inference(forward_demodulation,[],[f3880,f13]) ).
fof(f3880,plain,
( sK21 = sum(sum(pred(n1),n2),n2)
| ~ spl22_8
| ~ spl22_20 ),
inference(forward_demodulation,[],[f3879,f148]) ).
fof(f3879,plain,
( sum(sum(pred(n1),n2),sum(n0,n2)) = sK21
| ~ spl22_8
| ~ spl22_20 ),
inference(forward_demodulation,[],[f3878,f106]) ).
fof(f3878,plain,
( sK21 = sum(sum(pred(n1),n2),sum(n0,succ(n1)))
| ~ spl22_8
| ~ spl22_20 ),
inference(backward_demodulation,[],[f3648,f307]) ).
fof(f3648,plain,
( sK21 = sum(sum(pred(sK1),n2),sum(n0,succ(sK1)))
| ~ spl22_8 ),
inference(forward_demodulation,[],[f3647,f106]) ).
fof(f3647,plain,
( sum(sum(pred(sK1),succ(n1)),sum(n0,succ(sK1))) = sK21
| ~ spl22_8 ),
inference(forward_demodulation,[],[f3646,f13]) ).
fof(f3646,plain,
( sum(sum(pred(sK1),succ(n1)),sum(pred(n1),succ(sK1))) = sK21
| ~ spl22_8 ),
inference(forward_demodulation,[],[f153,f258]) ).
fof(f3895,plain,
( n4 = sK5
| ~ spl22_8
| ~ spl22_20 ),
inference(forward_demodulation,[],[f3894,f142]) ).
fof(f3894,plain,
( sum(n2,n2) = sK5
| ~ spl22_8
| ~ spl22_20 ),
inference(forward_demodulation,[],[f3893,f148]) ).
fof(f3893,plain,
( sK5 = sum(sum(n0,n2),n2)
| ~ spl22_8
| ~ spl22_20 ),
inference(forward_demodulation,[],[f3892,f13]) ).
fof(f3892,plain,
( sK5 = sum(sum(pred(n1),n2),n2)
| ~ spl22_8
| ~ spl22_20 ),
inference(forward_demodulation,[],[f3877,f106]) ).
fof(f3877,plain,
( sK5 = sum(sum(pred(n1),succ(n1)),n2)
| ~ spl22_8
| ~ spl22_20 ),
inference(backward_demodulation,[],[f3645,f307]) ).
fof(f3645,plain,
( sum(sum(pred(sK1),succ(sK1)),n2) = sK5
| ~ spl22_8 ),
inference(forward_demodulation,[],[f3644,f148]) ).
fof(f3644,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n0,n2))
| ~ spl22_8 ),
inference(forward_demodulation,[],[f3643,f13]) ).
fof(f3643,plain,
( sum(sum(pred(sK1),succ(sK1)),sum(pred(n1),n2)) = sK5
| ~ spl22_8 ),
inference(forward_demodulation,[],[f3634,f106]) ).
fof(f3634,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n1),succ(n1)))
| ~ spl22_8 ),
inference(backward_demodulation,[],[f201,f258]) ).
fof(f3868,plain,
( ~ spl22_8
| ~ spl22_13
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3867]) ).
fof(f3867,plain,
( $false
| ~ spl22_8
| ~ spl22_13
| spl22_31 ),
inference(subsumption_resolution,[],[f3866,f3855]) ).
fof(f3855,plain,
( n1 != sK5
| ~ spl22_8
| ~ spl22_13
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3852]) ).
fof(f3852,plain,
( n1 = sK21
| ~ spl22_8
| ~ spl22_13 ),
inference(forward_demodulation,[],[f3851,f11]) ).
fof(f3851,plain,
( sum(n6,n6) = sK21
| ~ spl22_8
| ~ spl22_13 ),
inference(forward_demodulation,[],[f3850,f145]) ).
fof(f3850,plain,
( sum(sum(n4,n2),n6) = sK21
| ~ spl22_8
| ~ spl22_13 ),
inference(forward_demodulation,[],[f3849,f73]) ).
fof(f3849,plain,
( sum(sum(pred(n5),n2),n6) = sK21
| ~ spl22_8
| ~ spl22_13 ),
inference(forward_demodulation,[],[f3848,f104]) ).
fof(f3848,plain,
( sum(sum(pred(n5),n2),sum(n0,n6)) = sK21
| ~ spl22_8
| ~ spl22_13 ),
inference(forward_demodulation,[],[f3847,f44]) ).
fof(f3847,plain,
( sum(sum(pred(n5),n2),sum(n0,succ(n5))) = sK21
| ~ spl22_8
| ~ spl22_13 ),
inference(forward_demodulation,[],[f3648,f279]) ).
fof(f3866,plain,
( n1 = sK5
| ~ spl22_8
| ~ spl22_13 ),
inference(forward_demodulation,[],[f3865,f163]) ).
fof(f3865,plain,
( sum(n10,n2) = sK5
| ~ spl22_8
| ~ spl22_13 ),
inference(forward_demodulation,[],[f3864,f132]) ).
fof(f3864,plain,
( sK5 = sum(sum(n4,n6),n2)
| ~ spl22_8
| ~ spl22_13 ),
inference(forward_demodulation,[],[f3863,f73]) ).
fof(f3863,plain,
( sK5 = sum(sum(pred(n5),n6),n2)
| ~ spl22_8
| ~ spl22_13 ),
inference(forward_demodulation,[],[f3862,f44]) ).
fof(f3862,plain,
( sK5 = sum(sum(pred(n5),succ(n5)),n2)
| ~ spl22_8
| ~ spl22_13 ),
inference(forward_demodulation,[],[f3645,f279]) ).
fof(f3842,plain,
( ~ spl22_8
| ~ spl22_15
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3841]) ).
fof(f3841,plain,
( $false
| ~ spl22_8
| ~ spl22_15
| spl22_31 ),
inference(subsumption_resolution,[],[f3840,f3818]) ).
fof(f3818,plain,
( n3 = sK5
| ~ spl22_8
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3817,f149]) ).
fof(f3817,plain,
( sum(n1,n2) = sK5
| ~ spl22_8
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3816,f151]) ).
fof(f3816,plain,
( sK5 = sum(sum(n5,n7),n2)
| ~ spl22_8
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3815,f211]) ).
fof(f3815,plain,
( sK5 = sum(sum(pred(n6),n7),n2)
| ~ spl22_8
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3814,f119]) ).
fof(f3814,plain,
( sum(sum(pred(n6),succ(n6)),n2) = sK5
| ~ spl22_8
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3645,f287]) ).
fof(f3840,plain,
( n3 != sK5
| ~ spl22_8
| ~ spl22_15
| spl22_31 ),
inference(forward_demodulation,[],[f352,f3805]) ).
fof(f3805,plain,
( n3 = sK21
| ~ spl22_8
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3804,f216]) ).
fof(f3804,plain,
( sum(n7,n7) = sK21
| ~ spl22_8
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3803,f17]) ).
fof(f3803,plain,
( sK21 = sum(sum(n5,n2),n7)
| ~ spl22_8
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3802,f211]) ).
fof(f3802,plain,
( sum(sum(pred(n6),n2),n7) = sK21
| ~ spl22_8
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3801,f93]) ).
fof(f3801,plain,
( sum(sum(pred(n6),n2),sum(n0,n7)) = sK21
| ~ spl22_8
| ~ spl22_15 ),
inference(forward_demodulation,[],[f3800,f119]) ).
fof(f3800,plain,
( sK21 = sum(sum(pred(n6),n2),sum(n0,succ(n6)))
| ~ spl22_8
| ~ spl22_15 ),
inference(backward_demodulation,[],[f3648,f287]) ).
fof(f3793,plain,
( ~ spl22_8
| ~ spl22_16
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3792]) ).
fof(f3792,plain,
( $false
| ~ spl22_8
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f3791,f3782]) ).
fof(f3782,plain,
( n8 != sK21
| ~ spl22_8
| ~ spl22_16
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3781]) ).
fof(f3781,plain,
( n8 = sK5
| ~ spl22_8
| ~ spl22_16 ),
inference(forward_demodulation,[],[f3780,f34]) ).
fof(f3780,plain,
( sum(n6,n2) = sK5
| ~ spl22_8
| ~ spl22_16 ),
inference(forward_demodulation,[],[f3779,f52]) ).
fof(f3779,plain,
( sK5 = sum(sum(n2,n4),n2)
| ~ spl22_8
| ~ spl22_16 ),
inference(forward_demodulation,[],[f3778,f70]) ).
fof(f3778,plain,
( sK5 = sum(sum(pred(n3),n4),n2)
| ~ spl22_8
| ~ spl22_16 ),
inference(forward_demodulation,[],[f3776,f100]) ).
fof(f3776,plain,
( sK5 = sum(sum(pred(n3),succ(n3)),n2)
| ~ spl22_8
| ~ spl22_16 ),
inference(backward_demodulation,[],[f3645,f291]) ).
fof(f3791,plain,
( n8 = sK21
| ~ spl22_8
| ~ spl22_16 ),
inference(forward_demodulation,[],[f3790,f99]) ).
fof(f3790,plain,
( sum(n4,n4) = sK21
| ~ spl22_8
| ~ spl22_16 ),
inference(forward_demodulation,[],[f3789,f142]) ).
fof(f3789,plain,
( sum(sum(n2,n2),n4) = sK21
| ~ spl22_8
| ~ spl22_16 ),
inference(forward_demodulation,[],[f3788,f70]) ).
fof(f3788,plain,
( sum(sum(pred(n3),n2),n4) = sK21
| ~ spl22_8
| ~ spl22_16 ),
inference(forward_demodulation,[],[f3787,f38]) ).
fof(f3787,plain,
( sum(sum(pred(n3),n2),sum(n0,n4)) = sK21
| ~ spl22_8
| ~ spl22_16 ),
inference(forward_demodulation,[],[f3777,f100]) ).
fof(f3777,plain,
( sum(sum(pred(n3),n2),sum(n0,succ(n3))) = sK21
| ~ spl22_8
| ~ spl22_16 ),
inference(backward_demodulation,[],[f3648,f291]) ).
fof(f3768,plain,
( ~ spl22_8
| ~ spl22_17
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3767]) ).
fof(f3767,plain,
( $false
| ~ spl22_8
| ~ spl22_17
| spl22_31 ),
inference(subsumption_resolution,[],[f3766,f3731]) ).
fof(f3731,plain,
( n9 = sK5
| ~ spl22_8
| ~ spl22_17 ),
inference(forward_demodulation,[],[f3730,f117]) ).
fof(f3730,plain,
( sum(n7,n2) = sK5
| ~ spl22_8
| ~ spl22_17 ),
inference(forward_demodulation,[],[f3729,f24]) ).
fof(f3729,plain,
( sK5 = sum(sum(n8,n10),n2)
| ~ spl22_8
| ~ spl22_17 ),
inference(forward_demodulation,[],[f3728,f91]) ).
fof(f3728,plain,
( sK5 = sum(sum(pred(n9),n10),n2)
| ~ spl22_8
| ~ spl22_17 ),
inference(forward_demodulation,[],[f3726,f114]) ).
fof(f3726,plain,
( sK5 = sum(sum(pred(n9),succ(n9)),n2)
| ~ spl22_8
| ~ spl22_17 ),
inference(backward_demodulation,[],[f3645,f295]) ).
fof(f3766,plain,
( n9 != sK5
| ~ spl22_8
| ~ spl22_17
| spl22_31 ),
inference(forward_demodulation,[],[f352,f3743]) ).
fof(f3743,plain,
( n9 = sK21
| ~ spl22_8
| ~ spl22_17 ),
inference(forward_demodulation,[],[f3742,f67]) ).
fof(f3742,plain,
( sum(n10,n10) = sK21
| ~ spl22_8
| ~ spl22_17 ),
inference(forward_demodulation,[],[f3741,f89]) ).
fof(f3741,plain,
( sum(sum(n8,n2),n10) = sK21
| ~ spl22_8
| ~ spl22_17 ),
inference(forward_demodulation,[],[f3740,f91]) ).
fof(f3740,plain,
( sum(sum(pred(n9),n2),n10) = sK21
| ~ spl22_8
| ~ spl22_17 ),
inference(forward_demodulation,[],[f3739,f71]) ).
fof(f3739,plain,
( sum(sum(pred(n9),n2),sum(n0,n10)) = sK21
| ~ spl22_8
| ~ spl22_17 ),
inference(forward_demodulation,[],[f3727,f114]) ).
fof(f3727,plain,
( sum(sum(pred(n9),n2),sum(n0,succ(n9))) = sK21
| ~ spl22_8
| ~ spl22_17 ),
inference(backward_demodulation,[],[f3648,f295]) ).
fof(f3724,plain,
( ~ spl22_8
| ~ spl22_14
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3723]) ).
fof(f3723,plain,
( $false
| ~ spl22_8
| ~ spl22_14
| spl22_31 ),
inference(subsumption_resolution,[],[f3722,f3711]) ).
fof(f3711,plain,
( n6 != sK21
| ~ spl22_8
| ~ spl22_14
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3709]) ).
fof(f3709,plain,
( n6 = sK5
| ~ spl22_8
| ~ spl22_14 ),
inference(forward_demodulation,[],[f3708,f145]) ).
fof(f3708,plain,
( sum(n4,n2) = sK5
| ~ spl22_8
| ~ spl22_14 ),
inference(forward_demodulation,[],[f3707,f120]) ).
fof(f3707,plain,
( sK5 = sum(sum(n1,n3),n2)
| ~ spl22_8
| ~ spl22_14 ),
inference(forward_demodulation,[],[f3706,f56]) ).
fof(f3706,plain,
( sK5 = sum(sum(pred(n2),n3),n2)
| ~ spl22_8
| ~ spl22_14 ),
inference(forward_demodulation,[],[f3704,f130]) ).
fof(f3704,plain,
( sK5 = sum(sum(pred(n2),succ(n2)),n2)
| ~ spl22_8
| ~ spl22_14 ),
inference(backward_demodulation,[],[f3645,f283]) ).
fof(f3722,plain,
( n6 = sK21
| ~ spl22_8
| ~ spl22_14 ),
inference(forward_demodulation,[],[f3721,f157]) ).
fof(f3721,plain,
( sum(n3,n3) = sK21
| ~ spl22_8
| ~ spl22_14 ),
inference(forward_demodulation,[],[f3720,f149]) ).
fof(f3720,plain,
( sum(sum(n1,n2),n3) = sK21
| ~ spl22_8
| ~ spl22_14 ),
inference(forward_demodulation,[],[f3719,f56]) ).
fof(f3719,plain,
( sum(sum(pred(n2),n2),n3) = sK21
| ~ spl22_8
| ~ spl22_14 ),
inference(forward_demodulation,[],[f3718,f90]) ).
fof(f3718,plain,
( sum(sum(pred(n2),n2),sum(n0,n3)) = sK21
| ~ spl22_8
| ~ spl22_14 ),
inference(forward_demodulation,[],[f3705,f130]) ).
fof(f3705,plain,
( sum(sum(pred(n2),n2),sum(n0,succ(n2))) = sK21
| ~ spl22_8
| ~ spl22_14 ),
inference(backward_demodulation,[],[f3648,f283]) ).
fof(f3696,plain,
( ~ spl22_8
| ~ spl22_21
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3695]) ).
fof(f3695,plain,
( $false
| ~ spl22_8
| ~ spl22_21
| spl22_31 ),
inference(subsumption_resolution,[],[f3694,f3688]) ).
fof(f3688,plain,
( n0 != sK21
| ~ spl22_8
| ~ spl22_21
| spl22_31 ),
inference(forward_demodulation,[],[f352,f3680]) ).
fof(f3680,plain,
( n0 = sK5
| ~ spl22_8
| ~ spl22_21 ),
inference(forward_demodulation,[],[f3679,f182]) ).
fof(f3679,plain,
( sum(n9,n2) = sK5
| ~ spl22_8
| ~ spl22_21 ),
inference(forward_demodulation,[],[f3678,f63]) ).
fof(f3678,plain,
( sum(sum(n9,n0),n2) = sK5
| ~ spl22_8
| ~ spl22_21 ),
inference(forward_demodulation,[],[f3677,f86]) ).
fof(f3677,plain,
( sK5 = sum(sum(pred(n10),n0),n2)
| ~ spl22_8
| ~ spl22_21 ),
inference(forward_demodulation,[],[f3676,f95]) ).
fof(f3676,plain,
( sum(sum(pred(n10),succ(n10)),n2) = sK5
| ~ spl22_8
| ~ spl22_21 ),
inference(forward_demodulation,[],[f3645,f311]) ).
fof(f3694,plain,
( n0 = sK21
| ~ spl22_8
| ~ spl22_21 ),
inference(forward_demodulation,[],[f3693,f219]) ).
fof(f3693,plain,
( sum(n0,n0) = sK21
| ~ spl22_8
| ~ spl22_21 ),
inference(forward_demodulation,[],[f3692,f182]) ).
fof(f3692,plain,
( sum(sum(n9,n2),n0) = sK21
| ~ spl22_8
| ~ spl22_21 ),
inference(forward_demodulation,[],[f3691,f86]) ).
fof(f3691,plain,
( sum(sum(pred(n10),n2),n0) = sK21
| ~ spl22_8
| ~ spl22_21 ),
inference(forward_demodulation,[],[f3690,f219]) ).
fof(f3690,plain,
( sK21 = sum(sum(pred(n10),n2),sum(n0,n0))
| ~ spl22_8
| ~ spl22_21 ),
inference(forward_demodulation,[],[f3689,f95]) ).
fof(f3689,plain,
( sum(sum(pred(n10),n2),sum(n0,succ(n10))) = sK21
| ~ spl22_8
| ~ spl22_21 ),
inference(forward_demodulation,[],[f3648,f311]) ).
fof(f3672,plain,
( ~ spl22_8
| ~ spl22_19
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3671]) ).
fof(f3671,plain,
( $false
| ~ spl22_8
| ~ spl22_19
| spl22_31 ),
inference(subsumption_resolution,[],[f3670,f3663]) ).
fof(f3663,plain,
( n10 != sK5
| ~ spl22_8
| ~ spl22_19
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3661]) ).
fof(f3661,plain,
( n10 = sK21
| ~ spl22_8
| ~ spl22_19 ),
inference(forward_demodulation,[],[f3660,f174]) ).
fof(f3660,plain,
( sum(n5,n5) = sK21
| ~ spl22_8
| ~ spl22_19 ),
inference(forward_demodulation,[],[f3659,f207]) ).
fof(f3659,plain,
( sum(sum(n3,n2),n5) = sK21
| ~ spl22_8
| ~ spl22_19 ),
inference(forward_demodulation,[],[f3658,f209]) ).
fof(f3658,plain,
( sum(sum(pred(n4),n2),n5) = sK21
| ~ spl22_8
| ~ spl22_19 ),
inference(forward_demodulation,[],[f3657,f77]) ).
fof(f3657,plain,
( sum(sum(pred(n4),n2),sum(n0,n5)) = sK21
| ~ spl22_8
| ~ spl22_19 ),
inference(forward_demodulation,[],[f3656,f208]) ).
fof(f3656,plain,
( sum(sum(pred(n4),n2),sum(n0,succ(n4))) = sK21
| ~ spl22_8
| ~ spl22_19 ),
inference(backward_demodulation,[],[f3648,f303]) ).
fof(f3670,plain,
( n10 = sK5
| ~ spl22_8
| ~ spl22_19 ),
inference(forward_demodulation,[],[f3669,f89]) ).
fof(f3669,plain,
( sum(n8,n2) = sK5
| ~ spl22_8
| ~ spl22_19 ),
inference(forward_demodulation,[],[f3668,f79]) ).
fof(f3668,plain,
( sK5 = sum(sum(n3,n5),n2)
| ~ spl22_8
| ~ spl22_19 ),
inference(forward_demodulation,[],[f3667,f209]) ).
fof(f3667,plain,
( sK5 = sum(sum(pred(n4),n5),n2)
| ~ spl22_8
| ~ spl22_19 ),
inference(forward_demodulation,[],[f3655,f208]) ).
fof(f3655,plain,
( sK5 = sum(sum(pred(n4),succ(n4)),n2)
| ~ spl22_8
| ~ spl22_19 ),
inference(backward_demodulation,[],[f3645,f303]) ).
fof(f3633,plain,
( ~ spl22_1
| ~ spl22_22
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3632]) ).
fof(f3632,plain,
( $false
| ~ spl22_1
| ~ spl22_22
| spl22_31 ),
inference(subsumption_resolution,[],[f3631,f3622]) ).
fof(f3622,plain,
( n1 != sK5
| ~ spl22_1
| ~ spl22_22
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3619]) ).
fof(f3619,plain,
( n1 = sK21
| ~ spl22_1
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3618,f11]) ).
fof(f3618,plain,
( sum(n6,n6) = sK21
| ~ spl22_1
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3617,f213]) ).
fof(f3617,plain,
( sum(sum(n6,n0),n6) = sK21
| ~ spl22_1
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3616,f95]) ).
fof(f3616,plain,
( sum(sum(n6,succ(n10)),n6) = sK21
| ~ spl22_1
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3615,f46]) ).
fof(f3615,plain,
( sum(sum(n6,succ(n10)),sum(n9,n8)) = sK21
| ~ spl22_1
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3614,f86]) ).
fof(f3614,plain,
( sum(sum(n6,succ(n10)),sum(pred(n10),n8)) = sK21
| ~ spl22_1
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3296,f230]) ).
fof(f3296,plain,
( sK21 = sum(sum(n6,succ(sK9)),sum(pred(sK9),n8))
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3295,f20]) ).
fof(f3295,plain,
( sum(sum(pred(n7),succ(sK9)),sum(pred(sK9),n8)) = sK21
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3294,f188]) ).
fof(f3294,plain,
( sum(sum(pred(n7),succ(sK9)),sum(pred(sK9),succ(n7))) = sK21
| ~ spl22_22 ),
inference(forward_demodulation,[],[f153,f315]) ).
fof(f315,plain,
( n7 = sK1
| ~ spl22_22 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl22_22
<=> n7 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_22])]) ).
fof(f3631,plain,
( n1 = sK5
| ~ spl22_1
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3630,f83]) ).
fof(f3630,plain,
( sum(n3,n9) = sK5
| ~ spl22_1
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3629,f63]) ).
fof(f3629,plain,
( sK5 = sum(n3,sum(n9,n0))
| ~ spl22_1
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3628,f86]) ).
fof(f3628,plain,
( sK5 = sum(n3,sum(pred(n10),n0))
| ~ spl22_1
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3613,f95]) ).
fof(f3613,plain,
( sK5 = sum(n3,sum(pred(n10),succ(n10)))
| ~ spl22_1
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3292,f230]) ).
fof(f3292,plain,
( sK5 = sum(n3,sum(pred(sK9),succ(sK9)))
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3291,f62]) ).
fof(f3291,plain,
( sK5 = sum(sum(n6,n8),sum(pred(sK9),succ(sK9)))
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3290,f20]) ).
fof(f3290,plain,
( sum(sum(pred(n7),n8),sum(pred(sK9),succ(sK9))) = sK5
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3287,f188]) ).
fof(f3287,plain,
( sK5 = sum(sum(pred(n7),succ(n7)),sum(pred(sK9),succ(sK9)))
| ~ spl22_22 ),
inference(backward_demodulation,[],[f201,f315]) ).
fof(f3612,plain,
( ~ spl22_7
| ~ spl22_22
| spl22_26 ),
inference(avatar_contradiction_clause,[],[f3611]) ).
fof(f3611,plain,
( $false
| ~ spl22_7
| ~ spl22_22
| spl22_26 ),
inference(subsumption_resolution,[],[f3610,f3573]) ).
fof(f3573,plain,
( n6 = sK12
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3572,f157]) ).
fof(f3572,plain,
( sum(n3,n3) = sK12
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3571,f62]) ).
fof(f3571,plain,
( sK12 = sum(sum(n6,n8),n3)
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3570,f20]) ).
fof(f3570,plain,
( sK12 = sum(sum(pred(n7),n8),n3)
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3569,f188]) ).
fof(f3569,plain,
( sum(sum(pred(n7),succ(n7)),n3) = sK12
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3568,f3555]) ).
fof(f3555,plain,
( n7 = sK21
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3554,f64]) ).
fof(f3554,plain,
( sum(n9,n9) = sK21
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3553,f226]) ).
fof(f3553,plain,
( sum(sum(n6,n3),n9) = sK21
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3552,f130]) ).
fof(f3552,plain,
( sum(sum(n6,succ(n2)),n9) = sK21
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3551,f180]) ).
fof(f3551,plain,
( sum(sum(n6,succ(n2)),sum(n1,n8)) = sK21
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3550,f56]) ).
fof(f3550,plain,
( sK21 = sum(sum(n6,succ(n2)),sum(pred(n2),n8))
| ~ spl22_7
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3296,f254]) ).
fof(f3568,plain,
( sum(sum(pred(sK21),succ(sK21)),n3) = sK12
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3567,f62]) ).
fof(f3567,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(n6,n8))
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3566,f20]) ).
fof(f3566,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(pred(n7),n8))
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3565,f188]) ).
fof(f3565,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n7),succ(n7))) = sK12
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f135,f3560]) ).
fof(f3560,plain,
( n7 = sK5
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3559,f223]) ).
fof(f3559,plain,
( sum(n3,n4) = sK5
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3558,f120]) ).
fof(f3558,plain,
( sK5 = sum(n3,sum(n1,n3))
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3557,f56]) ).
fof(f3557,plain,
( sK5 = sum(n3,sum(pred(n2),n3))
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3556,f130]) ).
fof(f3556,plain,
( sK5 = sum(n3,sum(pred(n2),succ(n2)))
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3292,f254]) ).
fof(f3610,plain,
( n6 != sK12
| ~ spl22_7
| ~ spl22_22
| spl22_26 ),
inference(forward_demodulation,[],[f332,f3581]) ).
fof(f3581,plain,
( n6 = sK19
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3580,f157]) ).
fof(f3580,plain,
( sum(n3,n3) = sK19
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3579,f62]) ).
fof(f3579,plain,
( sK19 = sum(sum(n6,n8),n3)
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3578,f188]) ).
fof(f3578,plain,
( sum(sum(n6,succ(n7)),n3) = sK19
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3577,f62]) ).
fof(f3577,plain,
( sum(sum(n6,succ(n7)),sum(n6,n8)) = sK19
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3576,f20]) ).
fof(f3576,plain,
( sum(sum(pred(n7),succ(n7)),sum(pred(n7),n8)) = sK19
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3575,f3560]) ).
fof(f3575,plain,
( sum(sum(pred(n7),succ(sK5)),sum(pred(sK5),n8)) = sK19
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3574,f188]) ).
fof(f3574,plain,
( sum(sum(pred(n7),succ(sK5)),sum(pred(sK5),succ(n7))) = sK19
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_demodulation,[],[f30,f3555]) ).
fof(f3563,plain,
( ~ spl22_7
| ~ spl22_22
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3562]) ).
fof(f3562,plain,
( $false
| ~ spl22_7
| ~ spl22_22
| spl22_31 ),
inference(subsumption_resolution,[],[f3561,f3560]) ).
fof(f3561,plain,
( n7 != sK5
| ~ spl22_7
| ~ spl22_22
| spl22_31 ),
inference(forward_demodulation,[],[f352,f3555]) ).
fof(f3543,plain,
( ~ spl22_6
| ~ spl22_22
| spl22_26 ),
inference(avatar_contradiction_clause,[],[f3542]) ).
fof(f3542,plain,
( $false
| ~ spl22_6
| ~ spl22_22
| spl22_26 ),
inference(subsumption_resolution,[],[f3541,f3523]) ).
fof(f3523,plain,
( n7 != sK19
| ~ spl22_6
| ~ spl22_22
| spl22_26 ),
inference(backward_demodulation,[],[f332,f3522]) ).
fof(f3522,plain,
( n7 = sK12
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3521,f64]) ).
fof(f3521,plain,
( sum(n9,n9) = sK12
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3520,f63]) ).
fof(f3520,plain,
( sK12 = sum(n9,sum(n9,n0))
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3519,f86]) ).
fof(f3519,plain,
( sK12 = sum(n9,sum(pred(n10),n0))
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3518,f95]) ).
fof(f3518,plain,
( sum(n9,sum(pred(n10),succ(n10))) = sK12
| ~ spl22_6
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3512,f3517]) ).
fof(f3517,plain,
( n10 = sK5
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3516,f68]) ).
fof(f3516,plain,
( sum(n3,n7) = sK5
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3515,f24]) ).
fof(f3515,plain,
( sum(n3,sum(n8,n10)) = sK5
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3514,f91]) ).
fof(f3514,plain,
( sK5 = sum(n3,sum(pred(n9),n10))
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3513,f114]) ).
fof(f3513,plain,
( sK5 = sum(n3,sum(pred(n9),succ(n9)))
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3292,f250]) ).
fof(f3512,plain,
( sK12 = sum(n9,sum(pred(sK5),succ(sK5)))
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3511,f63]) ).
fof(f3511,plain,
( sum(sum(n9,n0),sum(pred(sK5),succ(sK5))) = sK12
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3510,f86]) ).
fof(f3510,plain,
( sK12 = sum(sum(pred(n10),n0),sum(pred(sK5),succ(sK5)))
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3509,f95]) ).
fof(f3509,plain,
( sum(sum(pred(n10),succ(n10)),sum(pred(sK5),succ(sK5))) = sK12
| ~ spl22_6
| ~ spl22_22 ),
inference(backward_demodulation,[],[f135,f3508]) ).
fof(f3508,plain,
( n10 = sK21
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3507,f174]) ).
fof(f3507,plain,
( sum(n5,n5) = sK21
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3506,f16]) ).
fof(f3506,plain,
( sum(sum(n6,n10),n5) = sK21
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3505,f114]) ).
fof(f3505,plain,
( sum(sum(n6,succ(n9)),n5) = sK21
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3504,f26]) ).
fof(f3504,plain,
( sum(sum(n6,succ(n9)),sum(n8,n8)) = sK21
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3503,f91]) ).
fof(f3503,plain,
( sum(sum(n6,succ(n9)),sum(pred(n9),n8)) = sK21
| ~ spl22_6
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3296,f250]) ).
fof(f3541,plain,
( n7 = sK19
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3540,f64]) ).
fof(f3540,plain,
( sum(n9,n9) = sK19
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3539,f63]) ).
fof(f3539,plain,
( sum(sum(n9,n0),n9) = sK19
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3538,f95]) ).
fof(f3538,plain,
( sK19 = sum(sum(n9,succ(n10)),n9)
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3537,f63]) ).
fof(f3537,plain,
( sum(sum(n9,succ(n10)),sum(n9,n0)) = sK19
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3536,f86]) ).
fof(f3536,plain,
( sK19 = sum(sum(pred(n10),succ(n10)),sum(pred(n10),n0))
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3535,f3517]) ).
fof(f3535,plain,
( sum(sum(pred(n10),succ(sK5)),sum(pred(sK5),n0)) = sK19
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3534,f95]) ).
fof(f3534,plain,
( sK19 = sum(sum(pred(n10),succ(sK5)),sum(pred(sK5),succ(n10)))
| ~ spl22_6
| ~ spl22_22 ),
inference(forward_demodulation,[],[f30,f3508]) ).
fof(f3533,plain,
( ~ spl22_6
| ~ spl22_22
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3532]) ).
fof(f3532,plain,
( $false
| ~ spl22_6
| ~ spl22_22
| spl22_31 ),
inference(subsumption_resolution,[],[f3531,f3517]) ).
fof(f3531,plain,
( n10 != sK5
| ~ spl22_6
| ~ spl22_22
| spl22_31 ),
inference(forward_demodulation,[],[f352,f3508]) ).
fof(f3501,plain,
( ~ spl22_9
| ~ spl22_22
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3500]) ).
fof(f3500,plain,
( $false
| ~ spl22_9
| ~ spl22_22
| spl22_31 ),
inference(subsumption_resolution,[],[f3499,f3486]) ).
fof(f3486,plain,
( n2 != sK21
| ~ spl22_9
| ~ spl22_22
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3484]) ).
fof(f3484,plain,
( n2 = sK5
| ~ spl22_9
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3483,f172]) ).
fof(f3483,plain,
( sum(n3,n10) = sK5
| ~ spl22_9
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3482,f132]) ).
fof(f3482,plain,
( sK5 = sum(n3,sum(n4,n6))
| ~ spl22_9
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3481,f73]) ).
fof(f3481,plain,
( sK5 = sum(n3,sum(pred(n5),n6))
| ~ spl22_9
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3480,f44]) ).
fof(f3480,plain,
( sK5 = sum(n3,sum(pred(n5),succ(n5)))
| ~ spl22_9
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3292,f262]) ).
fof(f3499,plain,
( n2 = sK21
| ~ spl22_9
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3498,f197]) ).
fof(f3498,plain,
( sum(n1,n1) = sK21
| ~ spl22_9
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3497,f11]) ).
fof(f3497,plain,
( sum(sum(n6,n6),n1) = sK21
| ~ spl22_9
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3496,f44]) ).
fof(f3496,plain,
( sum(sum(n6,succ(n5)),n1) = sK21
| ~ spl22_9
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3495,f125]) ).
fof(f3495,plain,
( sum(sum(n6,succ(n5)),sum(n4,n8)) = sK21
| ~ spl22_9
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3494,f73]) ).
fof(f3494,plain,
( sum(sum(n6,succ(n5)),sum(pred(n5),n8)) = sK21
| ~ spl22_9
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3296,f262]) ).
fof(f3468,plain,
( ~ spl22_8
| ~ spl22_22
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3467]) ).
fof(f3467,plain,
( $false
| ~ spl22_8
| ~ spl22_22
| spl22_31 ),
inference(subsumption_resolution,[],[f3466,f3455]) ).
fof(f3455,plain,
( n5 != sK21
| ~ spl22_8
| ~ spl22_22
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3454]) ).
fof(f3454,plain,
( n5 = sK5
| ~ spl22_8
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3453,f207]) ).
fof(f3453,plain,
( sum(n3,n2) = sK5
| ~ spl22_8
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3452,f148]) ).
fof(f3452,plain,
( sK5 = sum(n3,sum(n0,n2))
| ~ spl22_8
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3451,f13]) ).
fof(f3451,plain,
( sK5 = sum(n3,sum(pred(n1),n2))
| ~ spl22_8
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3450,f106]) ).
fof(f3450,plain,
( sK5 = sum(n3,sum(pred(n1),succ(n1)))
| ~ spl22_8
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3292,f258]) ).
fof(f3466,plain,
( n5 = sK21
| ~ spl22_8
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3465,f26]) ).
fof(f3465,plain,
( sum(n8,n8) = sK21
| ~ spl22_8
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3464,f34]) ).
fof(f3464,plain,
( sum(sum(n6,n2),n8) = sK21
| ~ spl22_8
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3463,f106]) ).
fof(f3463,plain,
( sum(sum(n6,succ(n1)),n8) = sK21
| ~ spl22_8
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3462,f122]) ).
fof(f3462,plain,
( sum(sum(n6,succ(n1)),sum(n0,n8)) = sK21
| ~ spl22_8
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3461,f13]) ).
fof(f3461,plain,
( sum(sum(n6,succ(n1)),sum(pred(n1),n8)) = sK21
| ~ spl22_8
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3296,f258]) ).
fof(f3445,plain,
( ~ spl22_10
| ~ spl22_22
| spl22_26 ),
inference(avatar_contradiction_clause,[],[f3444]) ).
fof(f3444,plain,
( $false
| ~ spl22_10
| ~ spl22_22
| spl22_26 ),
inference(subsumption_resolution,[],[f3443,f3423]) ).
fof(f3423,plain,
( n0 != sK19
| ~ spl22_10
| ~ spl22_22
| spl22_26 ),
inference(backward_demodulation,[],[f332,f3422]) ).
fof(f3422,plain,
( n0 = sK12
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3421,f219]) ).
fof(f3421,plain,
( sum(n0,n0) = sK12
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3420,f107]) ).
fof(f3420,plain,
( sum(sum(n10,n1),n0) = sK12
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3419,f225]) ).
fof(f3419,plain,
( sum(sum(pred(n0),n1),n0) = sK12
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3418,f78]) ).
fof(f3418,plain,
( sK12 = sum(sum(pred(n0),succ(n0)),n0)
| ~ spl22_10
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3411,f3417]) ).
fof(f3417,plain,
( n0 = sK21
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3416,f219]) ).
fof(f3416,plain,
( sum(n0,n0) = sK21
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3415,f18]) ).
fof(f3415,plain,
( sum(sum(n6,n5),n0) = sK21
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3414,f208]) ).
fof(f3414,plain,
( sum(sum(n6,succ(n4)),n0) = sK21
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3413,f138]) ).
fof(f3413,plain,
( sum(sum(n6,succ(n4)),sum(n3,n8)) = sK21
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3412,f209]) ).
fof(f3412,plain,
( sum(sum(n6,succ(n4)),sum(pred(n4),n8)) = sK21
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3296,f266]) ).
fof(f3411,plain,
( sum(sum(pred(sK21),succ(sK21)),n0) = sK12
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3410,f107]) ).
fof(f3410,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(n10,n1))
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3409,f225]) ).
fof(f3409,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n0),n1)) = sK12
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3408,f78]) ).
fof(f3408,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n0),succ(n0))) = sK12
| ~ spl22_10
| ~ spl22_22 ),
inference(backward_demodulation,[],[f135,f3407]) ).
fof(f3407,plain,
( n0 = sK5
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3406,f138]) ).
fof(f3406,plain,
( sum(n3,n8) = sK5
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3405,f79]) ).
fof(f3405,plain,
( sK5 = sum(n3,sum(n3,n5))
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3404,f209]) ).
fof(f3404,plain,
( sK5 = sum(n3,sum(pred(n4),n5))
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3403,f208]) ).
fof(f3403,plain,
( sK5 = sum(n3,sum(pred(n4),succ(n4)))
| ~ spl22_10
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3292,f266]) ).
fof(f3443,plain,
( n0 = sK19
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3442,f219]) ).
fof(f3442,plain,
( sum(n0,n0) = sK19
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3441,f107]) ).
fof(f3441,plain,
( sum(sum(n10,n1),n0) = sK19
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3440,f78]) ).
fof(f3440,plain,
( sum(sum(n10,succ(n0)),n0) = sK19
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3439,f107]) ).
fof(f3439,plain,
( sum(sum(n10,succ(n0)),sum(n10,n1)) = sK19
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3438,f225]) ).
fof(f3438,plain,
( sum(sum(pred(n0),succ(n0)),sum(pred(n0),n1)) = sK19
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3437,f3407]) ).
fof(f3437,plain,
( sum(sum(pred(n0),succ(sK5)),sum(pred(sK5),n1)) = sK19
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3436,f78]) ).
fof(f3436,plain,
( sum(sum(pred(n0),succ(sK5)),sum(pred(sK5),succ(n0))) = sK19
| ~ spl22_10
| ~ spl22_22 ),
inference(forward_demodulation,[],[f30,f3417]) ).
fof(f3434,plain,
( ~ spl22_10
| ~ spl22_22
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3433]) ).
fof(f3433,plain,
( $false
| ~ spl22_10
| ~ spl22_22
| spl22_31 ),
inference(subsumption_resolution,[],[f3432,f3407]) ).
fof(f3432,plain,
( n0 != sK5
| ~ spl22_10
| ~ spl22_22
| spl22_31 ),
inference(forward_demodulation,[],[f352,f3417]) ).
fof(f3392,plain,
( ~ spl22_3
| ~ spl22_22
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3391]) ).
fof(f3391,plain,
( $false
| ~ spl22_3
| ~ spl22_22
| spl22_31 ),
inference(subsumption_resolution,[],[f3390,f3384]) ).
fof(f3384,plain,
( n6 != sK5
| ~ spl22_3
| ~ spl22_22
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3382]) ).
fof(f3382,plain,
( n6 = sK21
| ~ spl22_3
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3381,f157]) ).
fof(f3381,plain,
( sum(n3,n3) = sK21
| ~ spl22_3
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3380,f62]) ).
fof(f3380,plain,
( sK21 = sum(sum(n6,n8),n3)
| ~ spl22_3
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3379,f188]) ).
fof(f3379,plain,
( sum(sum(n6,succ(n7)),n3) = sK21
| ~ spl22_3
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3378,f62]) ).
fof(f3378,plain,
( sum(sum(n6,succ(n7)),sum(n6,n8)) = sK21
| ~ spl22_3
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3376,f20]) ).
fof(f3376,plain,
( sum(sum(n6,succ(n7)),sum(pred(n7),n8)) = sK21
| ~ spl22_3
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3296,f238]) ).
fof(f3390,plain,
( n6 = sK5
| ~ spl22_3
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3389,f157]) ).
fof(f3389,plain,
( sum(n3,n3) = sK5
| ~ spl22_3
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3388,f62]) ).
fof(f3388,plain,
( sK5 = sum(n3,sum(n6,n8))
| ~ spl22_3
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3387,f20]) ).
fof(f3387,plain,
( sK5 = sum(n3,sum(pred(n7),n8))
| ~ spl22_3
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3377,f188]) ).
fof(f3377,plain,
( sK5 = sum(n3,sum(pred(n7),succ(n7)))
| ~ spl22_3
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3292,f238]) ).
fof(f3374,plain,
( ~ spl22_5
| ~ spl22_22
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3373]) ).
fof(f3373,plain,
( $false
| ~ spl22_5
| ~ spl22_22
| spl22_31 ),
inference(subsumption_resolution,[],[f3372,f3361]) ).
fof(f3361,plain,
( n3 != sK21
| ~ spl22_5
| ~ spl22_22
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3359]) ).
fof(f3359,plain,
( n3 = sK5
| ~ spl22_5
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3358,f187]) ).
fof(f3358,plain,
( sum(n3,n0) = sK5
| ~ spl22_5
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3357,f107]) ).
fof(f3357,plain,
( sK5 = sum(n3,sum(n10,n1))
| ~ spl22_5
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3356,f225]) ).
fof(f3356,plain,
( sK5 = sum(n3,sum(pred(n0),n1))
| ~ spl22_5
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3354,f78]) ).
fof(f3354,plain,
( sK5 = sum(n3,sum(pred(n0),succ(n0)))
| ~ spl22_5
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3292,f246]) ).
fof(f3372,plain,
( n3 = sK21
| ~ spl22_5
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3371,f216]) ).
fof(f3371,plain,
( sum(n7,n7) = sK21
| ~ spl22_5
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3370,f198]) ).
fof(f3370,plain,
( sum(sum(n6,n1),n7) = sK21
| ~ spl22_5
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3369,f78]) ).
fof(f3369,plain,
( sum(sum(n6,succ(n0)),n7) = sK21
| ~ spl22_5
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3368,f206]) ).
fof(f3368,plain,
( sum(sum(n6,succ(n0)),sum(n10,n8)) = sK21
| ~ spl22_5
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3355,f225]) ).
fof(f3355,plain,
( sum(sum(n6,succ(n0)),sum(pred(n0),n8)) = sK21
| ~ spl22_5
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3296,f246]) ).
fof(f3344,plain,
( ~ spl22_11
| ~ spl22_22
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3343]) ).
fof(f3343,plain,
( $false
| ~ spl22_11
| ~ spl22_22
| spl22_31 ),
inference(subsumption_resolution,[],[f3342,f3327]) ).
fof(f3327,plain,
( n4 != sK21
| ~ spl22_11
| ~ spl22_22
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3325]) ).
fof(f3325,plain,
( n4 = sK5
| ~ spl22_11
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3324,f29]) ).
fof(f3324,plain,
( sum(n3,n1) = sK5
| ~ spl22_11
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3323,f151]) ).
fof(f3323,plain,
( sK5 = sum(n3,sum(n5,n7))
| ~ spl22_11
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3322,f211]) ).
fof(f3322,plain,
( sK5 = sum(n3,sum(pred(n6),n7))
| ~ spl22_11
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3321,f119]) ).
fof(f3321,plain,
( sK5 = sum(n3,sum(pred(n6),succ(n6)))
| ~ spl22_11
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3292,f270]) ).
fof(f3342,plain,
( n4 = sK21
| ~ spl22_11
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3341,f142]) ).
fof(f3341,plain,
( sum(n2,n2) = sK21
| ~ spl22_11
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3340,f110]) ).
fof(f3340,plain,
( sum(sum(n6,n7),n2) = sK21
| ~ spl22_11
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3339,f119]) ).
fof(f3339,plain,
( sum(sum(n6,succ(n6)),n2) = sK21
| ~ spl22_11
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3338,f45]) ).
fof(f3338,plain,
( sum(sum(n6,succ(n6)),sum(n5,n8)) = sK21
| ~ spl22_11
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3337,f211]) ).
fof(f3337,plain,
( sum(sum(n6,succ(n6)),sum(pred(n6),n8)) = sK21
| ~ spl22_11
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3296,f270]) ).
fof(f3319,plain,
( ~ spl22_4
| ~ spl22_22
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3318]) ).
fof(f3318,plain,
( $false
| ~ spl22_4
| ~ spl22_22
| spl22_31 ),
inference(subsumption_resolution,[],[f3317,f3308]) ).
fof(f3308,plain,
( n8 != sK5
| ~ spl22_4
| ~ spl22_22
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3305]) ).
fof(f3305,plain,
( n8 = sK21
| ~ spl22_4
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3304,f99]) ).
fof(f3304,plain,
( sum(n4,n4) = sK21
| ~ spl22_4
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3303,f97]) ).
fof(f3303,plain,
( sum(sum(n6,n9),n4) = sK21
| ~ spl22_4
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3302,f40]) ).
fof(f3302,plain,
( sum(sum(n6,succ(n8)),n4) = sK21
| ~ spl22_4
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3301,f74]) ).
fof(f3301,plain,
( sum(sum(n6,succ(n8)),sum(n7,n8)) = sK21
| ~ spl22_4
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3300,f60]) ).
fof(f3300,plain,
( sum(sum(n6,succ(n8)),sum(pred(n8),n8)) = sK21
| ~ spl22_4
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3296,f242]) ).
fof(f3317,plain,
( n8 = sK5
| ~ spl22_4
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3316,f79]) ).
fof(f3316,plain,
( sum(n3,n5) = sK5
| ~ spl22_4
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3315,f204]) ).
fof(f3315,plain,
( sK5 = sum(n3,sum(n7,n9))
| ~ spl22_4
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3314,f60]) ).
fof(f3314,plain,
( sK5 = sum(n3,sum(pred(n8),n9))
| ~ spl22_4
| ~ spl22_22 ),
inference(forward_demodulation,[],[f3299,f40]) ).
fof(f3299,plain,
( sum(n3,sum(pred(n8),succ(n8))) = sK5
| ~ spl22_4
| ~ spl22_22 ),
inference(backward_demodulation,[],[f3292,f242]) ).
fof(f3286,plain,
( ~ spl22_8
| ~ spl22_12
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3285]) ).
fof(f3285,plain,
( $false
| ~ spl22_8
| ~ spl22_12
| spl22_31 ),
inference(subsumption_resolution,[],[f3284,f3275]) ).
fof(f3275,plain,
( n7 != sK5
| ~ spl22_8
| ~ spl22_12
| spl22_31 ),
inference(forward_demodulation,[],[f352,f3270]) ).
fof(f3270,plain,
( n7 = sK21
| ~ spl22_8
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3269,f64]) ).
fof(f3269,plain,
( sum(n9,n9) = sK21
| ~ spl22_8
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3268,f117]) ).
fof(f3268,plain,
( sum(sum(n7,n2),n9) = sK21
| ~ spl22_8
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3267,f106]) ).
fof(f3267,plain,
( sum(sum(n7,succ(n1)),n9) = sK21
| ~ spl22_8
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3266,f12]) ).
fof(f3266,plain,
( sum(sum(n7,succ(n1)),sum(n0,n9)) = sK21
| ~ spl22_8
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3265,f13]) ).
fof(f3265,plain,
( sum(sum(n7,succ(n1)),sum(pred(n1),n9)) = sK21
| ~ spl22_8
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2892,f258]) ).
fof(f2892,plain,
( sum(sum(n7,succ(sK9)),sum(pred(sK9),n9)) = sK21
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2891,f60]) ).
fof(f2891,plain,
( sum(sum(pred(n8),succ(sK9)),sum(pred(sK9),n9)) = sK21
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2890,f40]) ).
fof(f2890,plain,
( sum(sum(pred(n8),succ(sK9)),sum(pred(sK9),succ(n8))) = sK21
| ~ spl22_12 ),
inference(forward_demodulation,[],[f153,f275]) ).
fof(f275,plain,
( n8 = sK1
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl22_12
<=> n8 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
fof(f3284,plain,
( n7 = sK5
| ~ spl22_8
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3283,f17]) ).
fof(f3283,plain,
( sum(n5,n2) = sK5
| ~ spl22_8
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3282,f148]) ).
fof(f3282,plain,
( sK5 = sum(n5,sum(n0,n2))
| ~ spl22_8
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3281,f13]) ).
fof(f3281,plain,
( sK5 = sum(n5,sum(pred(n1),n2))
| ~ spl22_8
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3280,f106]) ).
fof(f3280,plain,
( sK5 = sum(n5,sum(pred(n1),succ(n1)))
| ~ spl22_8
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2889,f258]) ).
fof(f2889,plain,
( sK5 = sum(n5,sum(pred(sK9),succ(sK9)))
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2888,f204]) ).
fof(f2888,plain,
( sK5 = sum(sum(n7,n9),sum(pred(sK9),succ(sK9)))
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2887,f60]) ).
fof(f2887,plain,
( sK5 = sum(sum(pred(n8),n9),sum(pred(sK9),succ(sK9)))
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2886,f40]) ).
fof(f2886,plain,
( sK5 = sum(sum(pred(n8),succ(n8)),sum(pred(sK9),succ(sK9)))
| ~ spl22_12 ),
inference(forward_demodulation,[],[f201,f275]) ).
fof(f3256,plain,
( ~ spl22_1
| ~ spl22_12
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3255]) ).
fof(f3255,plain,
( $false
| ~ spl22_1
| ~ spl22_12
| spl22_31 ),
inference(subsumption_resolution,[],[f3254,f3243]) ).
fof(f3243,plain,
( n3 != sK5
| ~ spl22_1
| ~ spl22_12
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3241]) ).
fof(f3241,plain,
( n3 = sK21
| ~ spl22_1
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3240,f216]) ).
fof(f3240,plain,
( sum(n7,n7) = sK21
| ~ spl22_1
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3239,f129]) ).
fof(f3239,plain,
( sum(sum(n7,n0),n7) = sK21
| ~ spl22_1
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3238,f95]) ).
fof(f3238,plain,
( sK21 = sum(sum(n7,succ(n10)),n7)
| ~ spl22_1
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3237,f64]) ).
fof(f3237,plain,
( sum(sum(n7,succ(n10)),sum(n9,n9)) = sK21
| ~ spl22_1
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3236,f86]) ).
fof(f3236,plain,
( sum(sum(n7,succ(n10)),sum(pred(n10),n9)) = sK21
| ~ spl22_1
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2892,f230]) ).
fof(f3254,plain,
( n3 = sK5
| ~ spl22_1
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3253,f115]) ).
fof(f3253,plain,
( sum(n5,n9) = sK5
| ~ spl22_1
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3252,f63]) ).
fof(f3252,plain,
( sK5 = sum(n5,sum(n9,n0))
| ~ spl22_1
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3251,f86]) ).
fof(f3251,plain,
( sK5 = sum(n5,sum(pred(n10),n0))
| ~ spl22_1
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3250,f95]) ).
fof(f3250,plain,
( sK5 = sum(n5,sum(pred(n10),succ(n10)))
| ~ spl22_1
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2889,f230]) ).
fof(f3232,plain,
( ~ spl22_4
| ~ spl22_12
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3231]) ).
fof(f3231,plain,
( $false
| ~ spl22_4
| ~ spl22_12
| spl22_31 ),
inference(subsumption_resolution,[],[f3230,f3225]) ).
fof(f3225,plain,
( n10 != sK5
| ~ spl22_4
| ~ spl22_12
| spl22_31 ),
inference(forward_demodulation,[],[f352,f3220]) ).
fof(f3220,plain,
( n10 = sK21
| ~ spl22_4
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3219,f174]) ).
fof(f3219,plain,
( sum(n5,n5) = sK21
| ~ spl22_4
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3218,f204]) ).
fof(f3218,plain,
( sum(sum(n7,n9),n5) = sK21
| ~ spl22_4
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3217,f40]) ).
fof(f3217,plain,
( sum(sum(n7,succ(n8)),n5) = sK21
| ~ spl22_4
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3216,f204]) ).
fof(f3216,plain,
( sum(sum(n7,succ(n8)),sum(n7,n9)) = sK21
| ~ spl22_4
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3215,f60]) ).
fof(f3215,plain,
( sum(sum(n7,succ(n8)),sum(pred(n8),n9)) = sK21
| ~ spl22_4
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2892,f242]) ).
fof(f3230,plain,
( n10 = sK5
| ~ spl22_4
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3229,f174]) ).
fof(f3229,plain,
( sum(n5,n5) = sK5
| ~ spl22_4
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3228,f204]) ).
fof(f3228,plain,
( sK5 = sum(n5,sum(n7,n9))
| ~ spl22_4
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3227,f60]) ).
fof(f3227,plain,
( sK5 = sum(n5,sum(pred(n8),n9))
| ~ spl22_4
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3226,f40]) ).
fof(f3226,plain,
( sK5 = sum(n5,sum(pred(n8),succ(n8)))
| ~ spl22_4
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2889,f242]) ).
fof(f3213,plain,
( ~ spl22_9
| ~ spl22_12
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3212]) ).
fof(f3212,plain,
( $false
| ~ spl22_9
| ~ spl22_12
| spl22_31 ),
inference(subsumption_resolution,[],[f3211,f3200]) ).
fof(f3200,plain,
( n4 != sK5
| ~ spl22_9
| ~ spl22_12
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3198]) ).
fof(f3198,plain,
( n4 = sK21
| ~ spl22_9
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3197,f142]) ).
fof(f3197,plain,
( sum(n2,n2) = sK21
| ~ spl22_9
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3196,f98]) ).
fof(f3196,plain,
( sum(sum(n7,n6),n2) = sK21
| ~ spl22_9
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3195,f44]) ).
fof(f3195,plain,
( sum(sum(n7,succ(n5)),n2) = sK21
| ~ spl22_9
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3194,f127]) ).
fof(f3194,plain,
( sum(sum(n7,succ(n5)),sum(n4,n9)) = sK21
| ~ spl22_9
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3193,f73]) ).
fof(f3193,plain,
( sum(sum(n7,succ(n5)),sum(pred(n5),n9)) = sK21
| ~ spl22_9
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2892,f262]) ).
fof(f3211,plain,
( n4 = sK5
| ~ spl22_9
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3210,f9]) ).
fof(f3210,plain,
( sum(n5,n10) = sK5
| ~ spl22_9
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3209,f132]) ).
fof(f3209,plain,
( sK5 = sum(n5,sum(n4,n6))
| ~ spl22_9
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3208,f73]) ).
fof(f3208,plain,
( sK5 = sum(n5,sum(pred(n5),n6))
| ~ spl22_9
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3207,f44]) ).
fof(f3207,plain,
( sK5 = sum(n5,sum(pred(n5),succ(n5)))
| ~ spl22_9
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2889,f262]) ).
fof(f3189,plain,
( ~ spl22_6
| ~ spl22_12
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3188]) ).
fof(f3188,plain,
( $false
| ~ spl22_6
| ~ spl22_12
| spl22_31 ),
inference(subsumption_resolution,[],[f3187,f3177]) ).
fof(f3177,plain,
( n1 != sK5
| ~ spl22_6
| ~ spl22_12
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3174]) ).
fof(f3174,plain,
( n1 = sK21
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3173,f11]) ).
fof(f3173,plain,
( sum(n6,n6) = sK21
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3172,f124]) ).
fof(f3172,plain,
( sum(sum(n7,n10),n6) = sK21
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3171,f114]) ).
fof(f3171,plain,
( sum(sum(n7,succ(n9)),n6) = sK21
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3170,f140]) ).
fof(f3170,plain,
( sum(sum(n7,succ(n9)),sum(n8,n9)) = sK21
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3169,f91]) ).
fof(f3169,plain,
( sum(sum(n7,succ(n9)),sum(pred(n9),n9)) = sK21
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2892,f250]) ).
fof(f3187,plain,
( n1 = sK5
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3186,f151]) ).
fof(f3186,plain,
( sum(n5,n7) = sK5
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3185,f24]) ).
fof(f3185,plain,
( sK5 = sum(n5,sum(n8,n10))
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3184,f91]) ).
fof(f3184,plain,
( sum(n5,sum(pred(n9),n10)) = sK5
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3183,f114]) ).
fof(f3183,plain,
( sK5 = sum(n5,sum(pred(n9),succ(n9)))
| ~ spl22_6
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2889,f250]) ).
fof(f3168,plain,
( ~ spl22_11
| ~ spl22_12
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3167]) ).
fof(f3167,plain,
( $false
| ~ spl22_11
| ~ spl22_12
| spl22_31 ),
inference(subsumption_resolution,[],[f3166,f3137]) ).
fof(f3137,plain,
( n6 = sK5
| ~ spl22_11
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3136,f156]) ).
fof(f3136,plain,
( sum(n5,n1) = sK5
| ~ spl22_11
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3135,f151]) ).
fof(f3135,plain,
( sK5 = sum(n5,sum(n5,n7))
| ~ spl22_11
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3134,f211]) ).
fof(f3134,plain,
( sK5 = sum(n5,sum(pred(n6),n7))
| ~ spl22_11
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3128,f119]) ).
fof(f3128,plain,
( sK5 = sum(n5,sum(pred(n6),succ(n6)))
| ~ spl22_11
| ~ spl22_12 ),
inference(backward_demodulation,[],[f2889,f270]) ).
fof(f3166,plain,
( n6 != sK5
| ~ spl22_11
| ~ spl22_12
| spl22_31 ),
inference(forward_demodulation,[],[f352,f3133]) ).
fof(f3133,plain,
( n6 = sK21
| ~ spl22_11
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3132,f157]) ).
fof(f3132,plain,
( sum(n3,n3) = sK21
| ~ spl22_11
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3131,f216]) ).
fof(f3131,plain,
( sum(sum(n7,n7),n3) = sK21
| ~ spl22_11
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3130,f119]) ).
fof(f3130,plain,
( sum(sum(n7,succ(n6)),n3) = sK21
| ~ spl22_11
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3129,f115]) ).
fof(f3129,plain,
( sum(sum(n7,succ(n6)),sum(n5,n9)) = sK21
| ~ spl22_11
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3127,f211]) ).
fof(f3127,plain,
( sum(sum(n7,succ(n6)),sum(pred(n6),n9)) = sK21
| ~ spl22_11
| ~ spl22_12 ),
inference(backward_demodulation,[],[f2892,f270]) ).
fof(f3124,plain,
( ~ spl22_7
| ~ spl22_12
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3123]) ).
fof(f3123,plain,
( $false
| ~ spl22_7
| ~ spl22_12
| spl22_31 ),
inference(subsumption_resolution,[],[f3122,f3095]) ).
fof(f3095,plain,
( n9 = sK5
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3094,f181]) ).
fof(f3094,plain,
( sum(n5,n4) = sK5
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3093,f120]) ).
fof(f3093,plain,
( sK5 = sum(n5,sum(n1,n3))
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3092,f56]) ).
fof(f3092,plain,
( sK5 = sum(n5,sum(pred(n2),n3))
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3082,f130]) ).
fof(f3082,plain,
( sum(n5,sum(pred(n2),succ(n2))) = sK5
| ~ spl22_7
| ~ spl22_12 ),
inference(backward_demodulation,[],[f2889,f254]) ).
fof(f3122,plain,
( n9 != sK5
| ~ spl22_7
| ~ spl22_12
| spl22_31 ),
inference(forward_demodulation,[],[f352,f3088]) ).
fof(f3088,plain,
( n9 = sK21
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3087,f67]) ).
fof(f3087,plain,
( sum(n10,n10) = sK21
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3086,f212]) ).
fof(f3086,plain,
( sum(sum(n7,n3),n10) = sK21
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3085,f130]) ).
fof(f3085,plain,
( sum(sum(n7,succ(n2)),n10) = sK21
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3084,f58]) ).
fof(f3084,plain,
( sum(sum(n7,succ(n2)),sum(n1,n9)) = sK21
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3083,f56]) ).
fof(f3083,plain,
( sum(sum(n7,succ(n2)),sum(pred(n2),n9)) = sK21
| ~ spl22_7
| ~ spl22_12 ),
inference(backward_demodulation,[],[f2892,f254]) ).
fof(f3078,plain,
( ~ spl22_5
| ~ spl22_12
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3077]) ).
fof(f3077,plain,
( $false
| ~ spl22_5
| ~ spl22_12
| spl22_31 ),
inference(subsumption_resolution,[],[f3076,f3067]) ).
fof(f3067,plain,
( n5 != sK5
| ~ spl22_5
| ~ spl22_12
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3066]) ).
fof(f3066,plain,
( n5 = sK21
| ~ spl22_5
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3065,f26]) ).
fof(f3065,plain,
( sum(n8,n8) = sK21
| ~ spl22_5
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3064,f103]) ).
fof(f3064,plain,
( sum(sum(n7,n1),n8) = sK21
| ~ spl22_5
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3063,f78]) ).
fof(f3063,plain,
( sum(sum(n7,succ(n0)),n8) = sK21
| ~ spl22_5
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3062,f134]) ).
fof(f3062,plain,
( sum(sum(n7,succ(n0)),sum(n10,n9)) = sK21
| ~ spl22_5
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3061,f225]) ).
fof(f3061,plain,
( sum(sum(n7,succ(n0)),sum(pred(n0),n9)) = sK21
| ~ spl22_5
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2892,f246]) ).
fof(f3076,plain,
( n5 = sK5
| ~ spl22_5
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3075,f101]) ).
fof(f3075,plain,
( sum(n5,n0) = sK5
| ~ spl22_5
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3074,f107]) ).
fof(f3074,plain,
( sK5 = sum(n5,sum(n10,n1))
| ~ spl22_5
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3073,f225]) ).
fof(f3073,plain,
( sK5 = sum(n5,sum(pred(n0),n1))
| ~ spl22_5
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3072,f78]) ).
fof(f3072,plain,
( sK5 = sum(n5,sum(pred(n0),succ(n0)))
| ~ spl22_5
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2889,f246]) ).
fof(f3057,plain,
( ~ spl22_3
| ~ spl22_12
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3056]) ).
fof(f3056,plain,
( $false
| ~ spl22_3
| ~ spl22_12
| spl22_31 ),
inference(subsumption_resolution,[],[f3055,f3045]) ).
fof(f3045,plain,
( n8 != sK5
| ~ spl22_3
| ~ spl22_12
| spl22_31 ),
inference(backward_demodulation,[],[f352,f3043]) ).
fof(f3043,plain,
( n8 = sK21
| ~ spl22_3
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3042,f99]) ).
fof(f3042,plain,
( sum(n4,n4) = sK21
| ~ spl22_3
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3041,f74]) ).
fof(f3041,plain,
( sK21 = sum(sum(n7,n8),n4)
| ~ spl22_3
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3040,f188]) ).
fof(f3040,plain,
( sum(sum(n7,succ(n7)),n4) = sK21
| ~ spl22_3
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3039,f97]) ).
fof(f3039,plain,
( sum(sum(n7,succ(n7)),sum(n6,n9)) = sK21
| ~ spl22_3
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3037,f20]) ).
fof(f3037,plain,
( sK21 = sum(sum(n7,succ(n7)),sum(pred(n7),n9))
| ~ spl22_3
| ~ spl22_12 ),
inference(backward_demodulation,[],[f2892,f238]) ).
fof(f3055,plain,
( n8 = sK5
| ~ spl22_3
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3054,f10]) ).
fof(f3054,plain,
( sum(n5,n3) = sK5
| ~ spl22_3
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3053,f62]) ).
fof(f3053,plain,
( sum(n5,sum(n6,n8)) = sK5
| ~ spl22_3
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3052,f20]) ).
fof(f3052,plain,
( sK5 = sum(n5,sum(pred(n7),n8))
| ~ spl22_3
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3038,f188]) ).
fof(f3038,plain,
( sK5 = sum(n5,sum(pred(n7),succ(n7)))
| ~ spl22_3
| ~ spl22_12 ),
inference(backward_demodulation,[],[f2889,f238]) ).
fof(f3036,plain,
( ~ spl22_10
| ~ spl22_12
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f3035]) ).
fof(f3035,plain,
( $false
| ~ spl22_10
| ~ spl22_12
| spl22_31 ),
inference(subsumption_resolution,[],[f3034,f3021]) ).
fof(f3021,plain,
( n2 != sK21
| ~ spl22_10
| ~ spl22_12
| spl22_31 ),
inference(forward_demodulation,[],[f352,f2967]) ).
fof(f2967,plain,
( n2 = sK5
| ~ spl22_10
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2966,f45]) ).
fof(f2966,plain,
( sum(n5,n8) = sK5
| ~ spl22_10
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2965,f79]) ).
fof(f2965,plain,
( sum(n5,sum(n3,n5)) = sK5
| ~ spl22_10
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2964,f209]) ).
fof(f2964,plain,
( sK5 = sum(n5,sum(pred(n4),n5))
| ~ spl22_10
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2963,f208]) ).
fof(f2963,plain,
( sK5 = sum(n5,sum(pred(n4),succ(n4)))
| ~ spl22_10
| ~ spl22_12 ),
inference(backward_demodulation,[],[f2889,f266]) ).
fof(f3034,plain,
( n2 = sK21
| ~ spl22_10
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3033,f197]) ).
fof(f3033,plain,
( sum(n1,n1) = sK21
| ~ spl22_10
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3032,f37]) ).
fof(f3032,plain,
( sum(sum(n7,n5),n1) = sK21
| ~ spl22_10
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3031,f208]) ).
fof(f3031,plain,
( sum(sum(n7,succ(n4)),n1) = sK21
| ~ spl22_10
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3030,f83]) ).
fof(f3030,plain,
( sum(sum(n7,succ(n4)),sum(n3,n9)) = sK21
| ~ spl22_10
| ~ spl22_12 ),
inference(forward_demodulation,[],[f3029,f209]) ).
fof(f3029,plain,
( sum(sum(n7,succ(n4)),sum(pred(n4),n9)) = sK21
| ~ spl22_10
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2892,f266]) ).
fof(f3001,plain,
( ~ spl22_27
| spl22_32 ),
inference(avatar_contradiction_clause,[],[f3000]) ).
fof(f3000,plain,
( $false
| ~ spl22_27
| spl22_32 ),
inference(subsumption_resolution,[],[f2999,f356]) ).
fof(f356,plain,
( sK15 != sK2
| spl22_32 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f354,plain,
( spl22_32
<=> sK15 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_32])]) ).
fof(f2999,plain,
( sK15 = sK2
| ~ spl22_27 ),
inference(backward_demodulation,[],[f2962,f2171]) ).
fof(f2171,plain,
( sK2 = sum(sum(pred(sK10),succ(sK10)),sum(pred(sK10),succ(sK10)))
| ~ spl22_27 ),
inference(backward_demodulation,[],[f141,f335]) ).
fof(f335,plain,
( sK20 = sK10
| ~ spl22_27 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl22_27
<=> sK20 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_27])]) ).
fof(f141,plain,
sum(sum(pred(sK20),succ(sK20)),sum(pred(sK10),succ(sK10))) = sK2,
inference(cnf_transformation,[],[f5]) ).
fof(f2962,plain,
( sK15 = sum(sum(pred(sK10),succ(sK10)),sum(pred(sK10),succ(sK10)))
| ~ spl22_27 ),
inference(forward_demodulation,[],[f116,f335]) ).
fof(f116,plain,
sK15 = sum(sum(pred(sK20),succ(sK10)),sum(pred(sK10),succ(sK20))),
inference(cnf_transformation,[],[f5]) ).
fof(f2846,plain,
( spl22_24
| ~ spl22_30 ),
inference(avatar_split_clause,[],[f2845,f346,f322]) ).
fof(f322,plain,
( spl22_24
<=> sK16 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_24])]) ).
fof(f346,plain,
( spl22_30
<=> sK11 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_30])]) ).
fof(f2845,plain,
( sK16 = sK0
| ~ spl22_30 ),
inference(backward_demodulation,[],[f2843,f2844]) ).
fof(f2844,plain,
( sum(sum(pred(sK4),succ(sK4)),sum(pred(sK4),succ(sK4))) = sK0
| ~ spl22_30 ),
inference(forward_demodulation,[],[f165,f347]) ).
fof(f347,plain,
( sK11 = sK4
| ~ spl22_30 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f165,plain,
sK0 = sum(sum(pred(sK11),succ(sK11)),sum(pred(sK4),succ(sK4))),
inference(cnf_transformation,[],[f5]) ).
fof(f2843,plain,
( sK16 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK4),succ(sK4)))
| ~ spl22_30 ),
inference(forward_demodulation,[],[f28,f347]) ).
fof(f28,plain,
sK16 = sum(sum(pred(sK11),succ(sK4)),sum(pred(sK4),succ(sK11))),
inference(cnf_transformation,[],[f5]) ).
fof(f2827,plain,
( spl22_25
| ~ spl22_28 ),
inference(avatar_split_clause,[],[f2757,f338,f326]) ).
fof(f326,plain,
( spl22_25
<=> sK8 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_25])]) ).
fof(f338,plain,
( spl22_28
<=> sK6 = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_28])]) ).
fof(f2757,plain,
( sK8 = sK3
| ~ spl22_28 ),
inference(backward_demodulation,[],[f2715,f2076]) ).
fof(f2076,plain,
( sum(sum(pred(sK6),succ(sK6)),sum(pred(sK6),succ(sK6))) = sK3
| ~ spl22_28 ),
inference(forward_demodulation,[],[f175,f339]) ).
fof(f339,plain,
( sK6 = sK18
| ~ spl22_28 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f175,plain,
sum(sum(pred(sK6),succ(sK18)),sum(pred(sK18),succ(sK6))) = sK3,
inference(cnf_transformation,[],[f5]) ).
fof(f2715,plain,
( sum(sum(pred(sK6),succ(sK6)),sum(pred(sK6),succ(sK6))) = sK8
| ~ spl22_28 ),
inference(backward_demodulation,[],[f32,f339]) ).
fof(f32,plain,
sum(sum(pred(sK6),succ(sK6)),sum(pred(sK18),succ(sK18))) = sK8,
inference(cnf_transformation,[],[f5]) ).
fof(f2723,plain,
( spl22_23
| ~ spl22_24 ),
inference(avatar_split_clause,[],[f2722,f322,f318]) ).
fof(f318,plain,
( spl22_23
<=> sK17 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_23])]) ).
fof(f2722,plain,
( sK17 = sK7
| ~ spl22_24 ),
inference(forward_demodulation,[],[f2721,f2711]) ).
fof(f2711,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(sK0),succ(sK0))) = sK7
| ~ spl22_24 ),
inference(backward_demodulation,[],[f22,f323]) ).
fof(f323,plain,
( sK16 = sK0
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f22,plain,
sum(sum(pred(sK16),succ(sK0)),sum(pred(sK0),succ(sK16))) = sK7,
inference(cnf_transformation,[],[f5]) ).
fof(f2721,plain,
( sK17 = sum(sum(pred(sK0),succ(sK0)),sum(pred(sK0),succ(sK0)))
| ~ spl22_24 ),
inference(forward_demodulation,[],[f118,f323]) ).
fof(f118,plain,
sK17 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK0),succ(sK0))),
inference(cnf_transformation,[],[f5]) ).
fof(f2548,plain,
( spl22_30
| ~ spl22_26 ),
inference(avatar_split_clause,[],[f2547,f330,f346]) ).
fof(f2547,plain,
( sK11 = sK4
| ~ spl22_26 ),
inference(backward_demodulation,[],[f2544,f2546]) ).
fof(f2546,plain,
( sum(sum(pred(sK12),succ(sK12)),sum(pred(sK12),succ(sK12))) = sK4
| ~ spl22_26 ),
inference(backward_demodulation,[],[f136,f331]) ).
fof(f331,plain,
( sK12 = sK19
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f136,plain,
sK4 = sum(sum(pred(sK19),succ(sK19)),sum(pred(sK12),succ(sK12))),
inference(cnf_transformation,[],[f5]) ).
fof(f2544,plain,
( sK11 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK12),succ(sK12)))
| ~ spl22_26 ),
inference(backward_demodulation,[],[f139,f331]) ).
fof(f139,plain,
sK11 = sum(sum(pred(sK19),succ(sK12)),sum(pred(sK12),succ(sK19))),
inference(cnf_transformation,[],[f5]) ).
fof(f2543,plain,
( ~ spl22_2
| ~ spl22_12
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2542]) ).
fof(f2542,plain,
( $false
| ~ spl22_2
| ~ spl22_12
| spl22_31 ),
inference(subsumption_resolution,[],[f2541,f2528]) ).
fof(f2528,plain,
( n0 != sK21
| ~ spl22_2
| ~ spl22_12
| spl22_31 ),
inference(backward_demodulation,[],[f352,f2526]) ).
fof(f2526,plain,
( n0 = sK5
| ~ spl22_2
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2525,f133]) ).
fof(f2525,plain,
( sum(n5,n6) = sK5
| ~ spl22_2
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2524,f204]) ).
fof(f2524,plain,
( sK5 = sum(sum(n7,n9),n6)
| ~ spl22_2
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2523,f60]) ).
fof(f2523,plain,
( sum(sum(pred(n8),n9),n6) = sK5
| ~ spl22_2
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2522,f40]) ).
fof(f2522,plain,
( sum(sum(pred(n8),succ(n8)),n6) = sK5
| ~ spl22_2
| ~ spl22_12 ),
inference(backward_demodulation,[],[f514,f275]) ).
fof(f514,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),n6)
| ~ spl22_2 ),
inference(forward_demodulation,[],[f513,f52]) ).
fof(f513,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(n2,n4))
| ~ spl22_2 ),
inference(forward_demodulation,[],[f512,f70]) ).
fof(f512,plain,
( sum(sum(pred(sK1),succ(sK1)),sum(pred(n3),n4)) = sK5
| ~ spl22_2 ),
inference(forward_demodulation,[],[f511,f100]) ).
fof(f511,plain,
( sK5 = sum(sum(pred(sK1),succ(sK1)),sum(pred(n3),succ(n3)))
| ~ spl22_2 ),
inference(forward_demodulation,[],[f201,f234]) ).
fof(f234,plain,
( n3 = sK9
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl22_2
<=> n3 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f2541,plain,
( n0 = sK21
| ~ spl22_2
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2540,f219]) ).
fof(f2540,plain,
( sum(n0,n0) = sK21
| ~ spl22_2
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2539,f202]) ).
fof(f2539,plain,
( sum(sum(n7,n4),n0) = sK21
| ~ spl22_2
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2538,f60]) ).
fof(f2538,plain,
( sum(sum(pred(n8),n4),n0) = sK21
| ~ spl22_2
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2537,f205]) ).
fof(f2537,plain,
( sum(sum(pred(n8),n4),sum(n2,n9)) = sK21
| ~ spl22_2
| ~ spl22_12 ),
inference(forward_demodulation,[],[f2536,f40]) ).
fof(f2536,plain,
( sum(sum(pred(n8),n4),sum(n2,succ(n8))) = sK21
| ~ spl22_2
| ~ spl22_12 ),
inference(forward_demodulation,[],[f766,f275]) ).
fof(f766,plain,
( sum(sum(pred(sK1),n4),sum(n2,succ(sK1))) = sK21
| ~ spl22_2 ),
inference(forward_demodulation,[],[f765,f100]) ).
fof(f765,plain,
( sum(sum(pred(sK1),succ(n3)),sum(n2,succ(sK1))) = sK21
| ~ spl22_2 ),
inference(forward_demodulation,[],[f764,f70]) ).
fof(f764,plain,
( sum(sum(pred(sK1),succ(n3)),sum(pred(n3),succ(sK1))) = sK21
| ~ spl22_2 ),
inference(forward_demodulation,[],[f153,f234]) ).
fof(f2520,plain,
( ~ spl22_2
| ~ spl22_19
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2519]) ).
fof(f2519,plain,
( $false
| ~ spl22_2
| ~ spl22_19
| spl22_31 ),
inference(subsumption_resolution,[],[f2518,f2507]) ).
fof(f2507,plain,
( n3 != sK21
| ~ spl22_2
| ~ spl22_19
| spl22_31 ),
inference(forward_demodulation,[],[f352,f2502]) ).
fof(f2502,plain,
( n3 = sK5
| ~ spl22_2
| ~ spl22_19 ),
inference(forward_demodulation,[],[f2501,f210]) ).
fof(f2501,plain,
( sum(n8,n6) = sK5
| ~ spl22_2
| ~ spl22_19 ),
inference(forward_demodulation,[],[f2500,f79]) ).
fof(f2500,plain,
( sK5 = sum(sum(n3,n5),n6)
| ~ spl22_2
| ~ spl22_19 ),
inference(forward_demodulation,[],[f2499,f209]) ).
fof(f2499,plain,
( sum(sum(pred(n4),n5),n6) = sK5
| ~ spl22_2
| ~ spl22_19 ),
inference(forward_demodulation,[],[f2498,f208]) ).
fof(f2498,plain,
( sK5 = sum(sum(pred(n4),succ(n4)),n6)
| ~ spl22_2
| ~ spl22_19 ),
inference(forward_demodulation,[],[f514,f303]) ).
fof(f2518,plain,
( n3 = sK21
| ~ spl22_2
| ~ spl22_19 ),
inference(forward_demodulation,[],[f2517,f216]) ).
fof(f2517,plain,
( sum(n7,n7) = sK21
| ~ spl22_2
| ~ spl22_19 ),
inference(forward_demodulation,[],[f2516,f223]) ).
fof(f2516,plain,
( sum(sum(n3,n4),n7) = sK21
| ~ spl22_2
| ~ spl22_19 ),
inference(forward_demodulation,[],[f2515,f209]) ).
fof(f2515,plain,
( sK21 = sum(sum(pred(n4),n4),n7)
| ~ spl22_2
| ~ spl22_19 ),
inference(forward_demodulation,[],[f2514,f51]) ).
fof(f2514,plain,
( sK21 = sum(sum(pred(n4),n4),sum(n2,n5))
| ~ spl22_2
| ~ spl22_19 ),
inference(forward_demodulation,[],[f2513,f208]) ).
fof(f2513,plain,
( sK21 = sum(sum(pred(n4),n4),sum(n2,succ(n4)))
| ~ spl22_2
| ~ spl22_19 ),
inference(forward_demodulation,[],[f766,f303]) ).
fof(f2493,plain,
( ~ spl22_2
| ~ spl22_22
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2492]) ).
fof(f2492,plain,
( $false
| ~ spl22_2
| ~ spl22_22
| spl22_31 ),
inference(subsumption_resolution,[],[f2491,f2479]) ).
fof(f2479,plain,
( n9 != sK5
| ~ spl22_2
| ~ spl22_22
| spl22_31 ),
inference(backward_demodulation,[],[f352,f2478]) ).
fof(f2478,plain,
( n9 = sK21
| ~ spl22_2
| ~ spl22_22 ),
inference(forward_demodulation,[],[f2477,f67]) ).
fof(f2477,plain,
( sum(n10,n10) = sK21
| ~ spl22_2
| ~ spl22_22 ),
inference(forward_demodulation,[],[f2476,f36]) ).
fof(f2476,plain,
( sum(sum(n6,n4),n10) = sK21
| ~ spl22_2
| ~ spl22_22 ),
inference(forward_demodulation,[],[f2475,f20]) ).
fof(f2475,plain,
( sum(sum(pred(n7),n4),n10) = sK21
| ~ spl22_2
| ~ spl22_22 ),
inference(forward_demodulation,[],[f2474,f171]) ).
fof(f2474,plain,
( sum(sum(pred(n7),n4),sum(n2,n8)) = sK21
| ~ spl22_2
| ~ spl22_22 ),
inference(forward_demodulation,[],[f2473,f188]) ).
fof(f2473,plain,
( sum(sum(pred(n7),n4),sum(n2,succ(n7))) = sK21
| ~ spl22_2
| ~ spl22_22 ),
inference(forward_demodulation,[],[f766,f315]) ).
fof(f2491,plain,
( n9 = sK5
| ~ spl22_2
| ~ spl22_22 ),
inference(forward_demodulation,[],[f2490,f72]) ).
fof(f2490,plain,
( sum(n3,n6) = sK5
| ~ spl22_2
| ~ spl22_22 ),
inference(forward_demodulation,[],[f2489,f62]) ).
fof(f2489,plain,
( sK5 = sum(sum(n6,n8),n6)
| ~ spl22_2
| ~ spl22_22 ),
inference(forward_demodulation,[],[f2488,f20]) ).
fof(f2488,plain,
( sK5 = sum(sum(pred(n7),n8),n6)
| ~ spl22_2
| ~ spl22_22 ),
inference(forward_demodulation,[],[f2487,f188]) ).
fof(f2487,plain,
( sK5 = sum(sum(pred(n7),succ(n7)),n6)
| ~ spl22_2
| ~ spl22_22 ),
inference(forward_demodulation,[],[f514,f315]) ).
fof(f2465,plain,
( ~ spl22_2
| ~ spl22_13
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2464]) ).
fof(f2464,plain,
( $false
| ~ spl22_2
| ~ spl22_13
| spl22_31 ),
inference(subsumption_resolution,[],[f2463,f2456]) ).
fof(f2456,plain,
( n5 != sK21
| ~ spl22_2
| ~ spl22_13
| spl22_31 ),
inference(forward_demodulation,[],[f352,f2452]) ).
fof(f2452,plain,
( n5 = sK5
| ~ spl22_2
| ~ spl22_13 ),
inference(forward_demodulation,[],[f2451,f66]) ).
fof(f2451,plain,
( sum(n10,n6) = sK5
| ~ spl22_2
| ~ spl22_13 ),
inference(forward_demodulation,[],[f2450,f132]) ).
fof(f2450,plain,
( sK5 = sum(sum(n4,n6),n6)
| ~ spl22_2
| ~ spl22_13 ),
inference(forward_demodulation,[],[f2449,f73]) ).
fof(f2449,plain,
( sum(sum(pred(n5),n6),n6) = sK5
| ~ spl22_2
| ~ spl22_13 ),
inference(forward_demodulation,[],[f2448,f44]) ).
fof(f2448,plain,
( sum(sum(pred(n5),succ(n5)),n6) = sK5
| ~ spl22_2
| ~ spl22_13 ),
inference(backward_demodulation,[],[f514,f279]) ).
fof(f2463,plain,
( n5 = sK21
| ~ spl22_2
| ~ spl22_13 ),
inference(forward_demodulation,[],[f2462,f26]) ).
fof(f2462,plain,
( sum(n8,n8) = sK21
| ~ spl22_2
| ~ spl22_13 ),
inference(forward_demodulation,[],[f2461,f99]) ).
fof(f2461,plain,
( sum(sum(n4,n4),n8) = sK21
| ~ spl22_2
| ~ spl22_13 ),
inference(forward_demodulation,[],[f2460,f73]) ).
fof(f2460,plain,
( sum(sum(pred(n5),n4),n8) = sK21
| ~ spl22_2
| ~ spl22_13 ),
inference(forward_demodulation,[],[f2459,f41]) ).
fof(f2459,plain,
( sK21 = sum(sum(pred(n5),n4),sum(n2,n6))
| ~ spl22_2
| ~ spl22_13 ),
inference(forward_demodulation,[],[f2458,f44]) ).
fof(f2458,plain,
( sum(sum(pred(n5),n4),sum(n2,succ(n5))) = sK21
| ~ spl22_2
| ~ spl22_13 ),
inference(forward_demodulation,[],[f766,f279]) ).
fof(f2444,plain,
( ~ spl22_2
| ~ spl22_17
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2443]) ).
fof(f2443,plain,
( $false
| ~ spl22_2
| ~ spl22_17
| spl22_31 ),
inference(subsumption_resolution,[],[f2442,f2420]) ).
fof(f2420,plain,
( n2 = sK5
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f2419,f98]) ).
fof(f2419,plain,
( sum(n7,n6) = sK5
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f2418,f24]) ).
fof(f2418,plain,
( sK5 = sum(sum(n8,n10),n6)
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f2417,f91]) ).
fof(f2417,plain,
( sK5 = sum(sum(pred(n9),n10),n6)
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f2416,f114]) ).
fof(f2416,plain,
( sK5 = sum(sum(pred(n9),succ(n9)),n6)
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f514,f295]) ).
fof(f2442,plain,
( n2 != sK5
| ~ spl22_2
| ~ spl22_17
| spl22_31 ),
inference(forward_demodulation,[],[f352,f2407]) ).
fof(f2407,plain,
( n2 = sK21
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f2406,f197]) ).
fof(f2406,plain,
( sum(n1,n1) = sK21
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f2405,f179]) ).
fof(f2405,plain,
( sum(sum(n8,n4),n1) = sK21
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f2404,f91]) ).
fof(f2404,plain,
( sum(sum(pred(n9),n4),n1) = sK21
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f2403,f65]) ).
fof(f2403,plain,
( sum(sum(pred(n9),n4),sum(n2,n10)) = sK21
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f2402,f114]) ).
fof(f2402,plain,
( sum(sum(pred(n9),n4),sum(n2,succ(n9))) = sK21
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_demodulation,[],[f766,f295]) ).
fof(f2401,plain,
( ~ spl22_2
| ~ spl22_15
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2400]) ).
fof(f2400,plain,
( $false
| ~ spl22_2
| ~ spl22_15
| spl22_31 ),
inference(subsumption_resolution,[],[f2399,f2387]) ).
fof(f2387,plain,
( n7 != sK5
| ~ spl22_2
| ~ spl22_15
| spl22_31 ),
inference(backward_demodulation,[],[f352,f2386]) ).
fof(f2386,plain,
( n7 = sK21
| ~ spl22_2
| ~ spl22_15 ),
inference(forward_demodulation,[],[f2385,f64]) ).
fof(f2385,plain,
( sum(n9,n9) = sK21
| ~ spl22_2
| ~ spl22_15 ),
inference(forward_demodulation,[],[f2384,f181]) ).
fof(f2384,plain,
( sum(sum(n5,n4),n9) = sK21
| ~ spl22_2
| ~ spl22_15 ),
inference(forward_demodulation,[],[f2383,f211]) ).
fof(f2383,plain,
( sum(sum(pred(n6),n4),n9) = sK21
| ~ spl22_2
| ~ spl22_15 ),
inference(forward_demodulation,[],[f2382,f14]) ).
fof(f2382,plain,
( sum(sum(pred(n6),n4),sum(n2,n7)) = sK21
| ~ spl22_2
| ~ spl22_15 ),
inference(forward_demodulation,[],[f2381,f119]) ).
fof(f2381,plain,
( sum(sum(pred(n6),n4),sum(n2,succ(n6))) = sK21
| ~ spl22_2
| ~ spl22_15 ),
inference(forward_demodulation,[],[f766,f287]) ).
fof(f2399,plain,
( n7 = sK5
| ~ spl22_2
| ~ spl22_15 ),
inference(forward_demodulation,[],[f2398,f57]) ).
fof(f2398,plain,
( sum(n1,n6) = sK5
| ~ spl22_2
| ~ spl22_15 ),
inference(forward_demodulation,[],[f2397,f151]) ).
fof(f2397,plain,
( sK5 = sum(sum(n5,n7),n6)
| ~ spl22_2
| ~ spl22_15 ),
inference(forward_demodulation,[],[f2396,f211]) ).
fof(f2396,plain,
( sK5 = sum(sum(pred(n6),n7),n6)
| ~ spl22_2
| ~ spl22_15 ),
inference(forward_demodulation,[],[f2395,f119]) ).
fof(f2395,plain,
( sK5 = sum(sum(pred(n6),succ(n6)),n6)
| ~ spl22_2
| ~ spl22_15 ),
inference(forward_demodulation,[],[f514,f287]) ).
fof(f2377,plain,
( ~ spl22_2
| ~ spl22_21
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2376]) ).
fof(f2376,plain,
( $false
| ~ spl22_2
| ~ spl22_21
| spl22_31 ),
inference(subsumption_resolution,[],[f2375,f2353]) ).
fof(f2353,plain,
( n4 = sK5
| ~ spl22_2
| ~ spl22_21 ),
inference(forward_demodulation,[],[f2352,f137]) ).
fof(f2352,plain,
( sum(n9,n6) = sK5
| ~ spl22_2
| ~ spl22_21 ),
inference(forward_demodulation,[],[f2351,f63]) ).
fof(f2351,plain,
( sK5 = sum(sum(n9,n0),n6)
| ~ spl22_2
| ~ spl22_21 ),
inference(forward_demodulation,[],[f2350,f86]) ).
fof(f2350,plain,
( sK5 = sum(sum(pred(n10),n0),n6)
| ~ spl22_2
| ~ spl22_21 ),
inference(forward_demodulation,[],[f2349,f95]) ).
fof(f2349,plain,
( sK5 = sum(sum(pred(n10),succ(n10)),n6)
| ~ spl22_2
| ~ spl22_21 ),
inference(forward_demodulation,[],[f514,f311]) ).
fof(f2375,plain,
( n4 != sK5
| ~ spl22_2
| ~ spl22_21
| spl22_31 ),
inference(forward_demodulation,[],[f352,f2341]) ).
fof(f2341,plain,
( n4 = sK21
| ~ spl22_2
| ~ spl22_21 ),
inference(forward_demodulation,[],[f2340,f142]) ).
fof(f2340,plain,
( sum(n2,n2) = sK21
| ~ spl22_2
| ~ spl22_21 ),
inference(forward_demodulation,[],[f2339,f169]) ).
fof(f2339,plain,
( sum(sum(n9,n4),n2) = sK21
| ~ spl22_2
| ~ spl22_21 ),
inference(forward_demodulation,[],[f2338,f86]) ).
fof(f2338,plain,
( sum(sum(pred(n10),n4),n2) = sK21
| ~ spl22_2
| ~ spl22_21 ),
inference(forward_demodulation,[],[f2337,f184]) ).
fof(f2337,plain,
( sK21 = sum(sum(pred(n10),n4),sum(n2,n0))
| ~ spl22_2
| ~ spl22_21 ),
inference(forward_demodulation,[],[f2336,f95]) ).
fof(f2336,plain,
( sum(sum(pred(n10),n4),sum(n2,succ(n10))) = sK21
| ~ spl22_2
| ~ spl22_21 ),
inference(backward_demodulation,[],[f766,f311]) ).
fof(f2335,plain,
( ~ spl22_2
| ~ spl22_16
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2334]) ).
fof(f2334,plain,
( $false
| ~ spl22_2
| ~ spl22_16
| spl22_31 ),
inference(subsumption_resolution,[],[f2333,f2295]) ).
fof(f2295,plain,
( n1 = sK5
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f2294,f11]) ).
fof(f2294,plain,
( sum(n6,n6) = sK5
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f2293,f52]) ).
fof(f2293,plain,
( sK5 = sum(sum(n2,n4),n6)
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f2292,f70]) ).
fof(f2292,plain,
( sK5 = sum(sum(pred(n3),n4),n6)
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f2291,f100]) ).
fof(f2291,plain,
( sum(sum(pred(n3),succ(n3)),n6) = sK5
| ~ spl22_2
| ~ spl22_16 ),
inference(backward_demodulation,[],[f514,f291]) ).
fof(f2333,plain,
( n1 != sK5
| ~ spl22_2
| ~ spl22_16
| spl22_31 ),
inference(forward_demodulation,[],[f352,f2302]) ).
fof(f2302,plain,
( n1 = sK21
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f2301,f11]) ).
fof(f2301,plain,
( sum(n6,n6) = sK21
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f2300,f52]) ).
fof(f2300,plain,
( sum(sum(n2,n4),n6) = sK21
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f2299,f70]) ).
fof(f2299,plain,
( sum(sum(pred(n3),n4),n6) = sK21
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f2298,f52]) ).
fof(f2298,plain,
( sum(sum(pred(n3),n4),sum(n2,n4)) = sK21
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f2297,f100]) ).
fof(f2297,plain,
( sum(sum(pred(n3),n4),sum(n2,succ(n3))) = sK21
| ~ spl22_2
| ~ spl22_16 ),
inference(forward_demodulation,[],[f766,f291]) ).
fof(f2283,plain,
( ~ spl22_2
| ~ spl22_14
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2282]) ).
fof(f2282,plain,
( $false
| ~ spl22_2
| ~ spl22_14
| spl22_31 ),
inference(subsumption_resolution,[],[f2281,f2269]) ).
fof(f2269,plain,
( n10 != sK5
| ~ spl22_2
| ~ spl22_14
| spl22_31 ),
inference(backward_demodulation,[],[f352,f2268]) ).
fof(f2268,plain,
( n10 = sK21
| ~ spl22_2
| ~ spl22_14 ),
inference(forward_demodulation,[],[f2267,f174]) ).
fof(f2267,plain,
( sum(n5,n5) = sK21
| ~ spl22_2
| ~ spl22_14 ),
inference(forward_demodulation,[],[f2266,f126]) ).
fof(f2266,plain,
( sum(sum(n1,n4),n5) = sK21
| ~ spl22_2
| ~ spl22_14 ),
inference(forward_demodulation,[],[f2265,f56]) ).
fof(f2265,plain,
( sum(sum(pred(n2),n4),n5) = sK21
| ~ spl22_2
| ~ spl22_14 ),
inference(forward_demodulation,[],[f2264,f61]) ).
fof(f2264,plain,
( sum(sum(pred(n2),n4),sum(n2,n3)) = sK21
| ~ spl22_2
| ~ spl22_14 ),
inference(forward_demodulation,[],[f2263,f130]) ).
fof(f2263,plain,
( sK21 = sum(sum(pred(n2),n4),sum(n2,succ(n2)))
| ~ spl22_2
| ~ spl22_14 ),
inference(forward_demodulation,[],[f766,f283]) ).
fof(f2281,plain,
( n10 = sK5
| ~ spl22_2
| ~ spl22_14 ),
inference(forward_demodulation,[],[f2280,f132]) ).
fof(f2280,plain,
( sum(n4,n6) = sK5
| ~ spl22_2
| ~ spl22_14 ),
inference(forward_demodulation,[],[f2279,f120]) ).
fof(f2279,plain,
( sK5 = sum(sum(n1,n3),n6)
| ~ spl22_2
| ~ spl22_14 ),
inference(forward_demodulation,[],[f2278,f56]) ).
fof(f2278,plain,
( sK5 = sum(sum(pred(n2),n3),n6)
| ~ spl22_2
| ~ spl22_14 ),
inference(forward_demodulation,[],[f2277,f130]) ).
fof(f2277,plain,
( sK5 = sum(sum(pred(n2),succ(n2)),n6)
| ~ spl22_2
| ~ spl22_14 ),
inference(forward_demodulation,[],[f514,f283]) ).
fof(f2260,plain,
( ~ spl22_2
| ~ spl22_20
| spl22_26 ),
inference(avatar_contradiction_clause,[],[f2259]) ).
fof(f2259,plain,
( $false
| ~ spl22_2
| ~ spl22_20
| spl22_26 ),
inference(subsumption_resolution,[],[f2258,f2243]) ).
fof(f2243,plain,
( n10 != sK19
| ~ spl22_2
| ~ spl22_20
| spl22_26 ),
inference(backward_demodulation,[],[f332,f2242]) ).
fof(f2242,plain,
( n10 = sK12
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2241,f174]) ).
fof(f2241,plain,
( sum(n5,n5) = sK12
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2240,f204]) ).
fof(f2240,plain,
( sK12 = sum(sum(n7,n9),n5)
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2239,f60]) ).
fof(f2239,plain,
( sK12 = sum(sum(pred(n8),n9),n5)
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2238,f40]) ).
fof(f2238,plain,
( sK12 = sum(sum(pred(n8),succ(n8)),n5)
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2237,f2230]) ).
fof(f2230,plain,
( n8 = sK21
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2229,f99]) ).
fof(f2229,plain,
( sum(n4,n4) = sK21
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2228,f38]) ).
fof(f2228,plain,
( sum(sum(n0,n4),n4) = sK21
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2227,f13]) ).
fof(f2227,plain,
( sum(sum(pred(n1),n4),n4) = sK21
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2226,f142]) ).
fof(f2226,plain,
( sK21 = sum(sum(pred(n1),n4),sum(n2,n2))
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2225,f106]) ).
fof(f2225,plain,
( sum(sum(pred(n1),n4),sum(n2,succ(n1))) = sK21
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f766,f307]) ).
fof(f2237,plain,
( sum(sum(pred(sK21),succ(sK21)),n5) = sK12
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2236,f204]) ).
fof(f2236,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(n7,n9)) = sK12
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2235,f60]) ).
fof(f2235,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(pred(n8),n9))
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2234,f40]) ).
fof(f2234,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n8),succ(n8))) = sK12
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f135,f2204]) ).
fof(f2204,plain,
( n8 = sK5
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2203,f41]) ).
fof(f2203,plain,
( sum(n2,n6) = sK5
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2202,f148]) ).
fof(f2202,plain,
( sK5 = sum(sum(n0,n2),n6)
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2201,f13]) ).
fof(f2201,plain,
( sK5 = sum(sum(pred(n1),n2),n6)
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2199,f106]) ).
fof(f2199,plain,
( sK5 = sum(sum(pred(n1),succ(n1)),n6)
| ~ spl22_2
| ~ spl22_20 ),
inference(backward_demodulation,[],[f514,f307]) ).
fof(f2258,plain,
( n10 = sK19
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2257,f174]) ).
fof(f2257,plain,
( sum(n5,n5) = sK19
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2256,f204]) ).
fof(f2256,plain,
( sum(sum(n7,n9),n5) = sK19
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2255,f40]) ).
fof(f2255,plain,
( sum(sum(n7,succ(n8)),n5) = sK19
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2254,f204]) ).
fof(f2254,plain,
( sum(sum(n7,succ(n8)),sum(n7,n9)) = sK19
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2253,f60]) ).
fof(f2253,plain,
( sum(sum(pred(n8),succ(n8)),sum(pred(n8),n9)) = sK19
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2252,f2204]) ).
fof(f2252,plain,
( sK19 = sum(sum(pred(n8),succ(sK5)),sum(pred(sK5),n9))
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f2251,f40]) ).
fof(f2251,plain,
( sum(sum(pred(n8),succ(sK5)),sum(pred(sK5),succ(n8))) = sK19
| ~ spl22_2
| ~ spl22_20 ),
inference(forward_demodulation,[],[f30,f2230]) ).
fof(f2233,plain,
( ~ spl22_2
| ~ spl22_20
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2232]) ).
fof(f2232,plain,
( $false
| ~ spl22_2
| ~ spl22_20
| spl22_31 ),
inference(subsumption_resolution,[],[f2231,f2204]) ).
fof(f2231,plain,
( n8 != sK5
| ~ spl22_2
| ~ spl22_20
| spl22_31 ),
inference(forward_demodulation,[],[f352,f2230]) ).
fof(f2191,plain,
( spl22_26
| ~ spl22_31 ),
inference(avatar_contradiction_clause,[],[f2190]) ).
fof(f2190,plain,
( $false
| spl22_26
| ~ spl22_31 ),
inference(subsumption_resolution,[],[f2189,f332]) ).
fof(f2189,plain,
( sK12 = sK19
| ~ spl22_31 ),
inference(forward_demodulation,[],[f2188,f2077]) ).
fof(f2077,plain,
( sK12 = sum(sum(pred(sK5),succ(sK5)),sum(pred(sK5),succ(sK5)))
| ~ spl22_31 ),
inference(backward_demodulation,[],[f135,f351]) ).
fof(f351,plain,
( sK5 = sK21
| ~ spl22_31 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f2188,plain,
( sum(sum(pred(sK5),succ(sK5)),sum(pred(sK5),succ(sK5))) = sK19
| ~ spl22_31 ),
inference(backward_demodulation,[],[f30,f351]) ).
fof(f2172,plain,
( spl22_29
| ~ spl22_25 ),
inference(avatar_split_clause,[],[f2163,f326,f342]) ).
fof(f342,plain,
( spl22_29
<=> sK13 = sK14 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_29])]) ).
fof(f2163,plain,
( sK13 = sK14
| ~ spl22_25 ),
inference(forward_demodulation,[],[f2162,f2073]) ).
fof(f2073,plain,
( sK13 = sum(sum(pred(sK3),succ(sK3)),sum(pred(sK3),succ(sK3)))
| ~ spl22_25 ),
inference(forward_demodulation,[],[f33,f327]) ).
fof(f327,plain,
( sK8 = sK3
| ~ spl22_25 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f33,plain,
sK13 = sum(sum(pred(sK3),succ(sK3)),sum(pred(sK8),succ(sK8))),
inference(cnf_transformation,[],[f5]) ).
fof(f2162,plain,
( sK14 = sum(sum(pred(sK3),succ(sK3)),sum(pred(sK3),succ(sK3)))
| ~ spl22_25 ),
inference(forward_demodulation,[],[f128,f327]) ).
fof(f128,plain,
sK14 = sum(sum(pred(sK3),succ(sK8)),sum(pred(sK8),succ(sK3))),
inference(cnf_transformation,[],[f5]) ).
fof(f2082,plain,
( spl22_27
| ~ spl22_23 ),
inference(avatar_split_clause,[],[f2081,f318,f334]) ).
fof(f2081,plain,
( sK20 = sK10
| ~ spl22_23 ),
inference(backward_demodulation,[],[f2080,f2079]) ).
fof(f2079,plain,
( sum(sum(pred(sK7),succ(sK7)),sum(pred(sK7),succ(sK7))) = sK10
| ~ spl22_23 ),
inference(backward_demodulation,[],[f112,f319]) ).
fof(f319,plain,
( sK17 = sK7
| ~ spl22_23 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f112,plain,
sum(sum(pred(sK7),succ(sK7)),sum(pred(sK17),succ(sK17))) = sK10,
inference(cnf_transformation,[],[f5]) ).
fof(f2080,plain,
( sK20 = sum(sum(pred(sK7),succ(sK7)),sum(pred(sK7),succ(sK7)))
| ~ spl22_23 ),
inference(backward_demodulation,[],[f59,f319]) ).
fof(f59,plain,
sK20 = sum(sum(pred(sK7),succ(sK17)),sum(pred(sK17),succ(sK7))),
inference(cnf_transformation,[],[f5]) ).
fof(f2070,plain,
( ~ spl22_2
| ~ spl22_18
| spl22_27 ),
inference(avatar_contradiction_clause,[],[f2069]) ).
fof(f2069,plain,
( $false
| ~ spl22_2
| ~ spl22_18
| spl22_27 ),
inference(subsumption_resolution,[],[f2068,f1988]) ).
fof(f1988,plain,
( n6 = sK20
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1987,f157]) ).
fof(f1987,plain,
( sum(n3,n3) = sK20
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1986,f62]) ).
fof(f1986,plain,
( sK20 = sum(sum(n6,n8),n3)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1985,f20]) ).
fof(f1985,plain,
( sK20 = sum(sum(pred(n7),n8),n3)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1984,f62]) ).
fof(f1984,plain,
( sum(sum(pred(n7),n8),sum(n6,n8)) = sK20
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1971,f188]) ).
fof(f1971,plain,
( sum(sum(pred(n7),n8),sum(n6,succ(n7))) = sK20
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f1965,f1970]) ).
fof(f1970,plain,
( n7 = sK7
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1969,f64]) ).
fof(f1969,plain,
( sum(n9,n9) = sK7
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1968,f63]) ).
fof(f1968,plain,
( sum(sum(n9,n0),n9) = sK7
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1967,f86]) ).
fof(f1967,plain,
( sum(sum(pred(n10),n0),n9) = sK7
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1966,f63]) ).
fof(f1966,plain,
( sum(sum(pred(n10),n0),sum(n9,n0)) = sK7
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1954,f95]) ).
fof(f1954,plain,
( sK7 = sum(sum(pred(n10),n0),sum(n9,succ(n10)))
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f1944,f1952]) ).
fof(f1952,plain,
( n10 = sK16
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1951,f174]) ).
fof(f1951,plain,
( sum(n5,n5) = sK16
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1950,f204]) ).
fof(f1950,plain,
( sK16 = sum(sum(n7,n9),n5)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1949,f40]) ).
fof(f1949,plain,
( sK16 = sum(sum(n7,succ(n8)),n5)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1948,f204]) ).
fof(f1948,plain,
( sK16 = sum(sum(n7,succ(n8)),sum(n7,n9))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1935,f60]) ).
fof(f1935,plain,
( sK16 = sum(sum(n7,succ(n8)),sum(pred(n8),n9))
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f1930,f1934]) ).
fof(f1934,plain,
( n8 = sK4
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1933,f99]) ).
fof(f1933,plain,
( sum(n4,n4) = sK4
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1932,f120]) ).
fof(f1932,plain,
( sK4 = sum(sum(n1,n3),n4)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1931,f56]) ).
fof(f1931,plain,
( sum(sum(pred(n2),n3),n4) = sK4
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1917,f130]) ).
fof(f1917,plain,
( sK4 = sum(sum(pred(n2),succ(n2)),n4)
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f1902,f1913]) ).
fof(f1913,plain,
( n2 = sK19
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1912,f197]) ).
fof(f1912,plain,
( sum(n1,n1) = sK19
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1911,f151]) ).
fof(f1911,plain,
( sum(sum(n5,n7),n1) = sK19
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1910,f119]) ).
fof(f1910,plain,
( sK19 = sum(sum(n5,succ(n6)),n1)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1909,f151]) ).
fof(f1909,plain,
( sum(sum(n5,succ(n6)),sum(n5,n7)) = sK19
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1908,f211]) ).
fof(f1908,plain,
( sum(sum(pred(n6),succ(n6)),sum(pred(n6),n7)) = sK19
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1907,f1877]) ).
fof(f1877,plain,
( n6 = sK5
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1876,f104]) ).
fof(f1876,plain,
( sum(n0,n6) = sK5
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1875,f107]) ).
fof(f1875,plain,
( sum(sum(n10,n1),n6) = sK5
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1874,f225]) ).
fof(f1874,plain,
( sK5 = sum(sum(pred(n0),n1),n6)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1873,f78]) ).
fof(f1873,plain,
( sK5 = sum(sum(pred(n0),succ(n0)),n6)
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f514,f299]) ).
fof(f1907,plain,
( sum(sum(pred(n6),succ(sK5)),sum(pred(sK5),n7)) = sK19
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1906,f119]) ).
fof(f1906,plain,
( sum(sum(pred(n6),succ(sK5)),sum(pred(sK5),succ(n6))) = sK19
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f30,f1889]) ).
fof(f1889,plain,
( n6 = sK21
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1888,f157]) ).
fof(f1888,plain,
( sum(n3,n3) = sK21
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1887,f176]) ).
fof(f1887,plain,
( sum(sum(n10,n4),n3) = sK21
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1886,f225]) ).
fof(f1886,plain,
( sum(sum(pred(n0),n4),n3) = sK21
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1885,f53]) ).
fof(f1885,plain,
( sum(sum(pred(n0),n4),sum(n2,n1)) = sK21
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1884,f78]) ).
fof(f1884,plain,
( sum(sum(pred(n0),n4),sum(n2,succ(n0))) = sK21
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f766,f299]) ).
fof(f1902,plain,
( sK4 = sum(sum(pred(sK19),succ(sK19)),n4)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1901,f120]) ).
fof(f1901,plain,
( sK4 = sum(sum(pred(sK19),succ(sK19)),sum(n1,n3))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1900,f56]) ).
fof(f1900,plain,
( sK4 = sum(sum(pred(sK19),succ(sK19)),sum(pred(n2),n3))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1895,f130]) ).
fof(f1895,plain,
( sK4 = sum(sum(pred(sK19),succ(sK19)),sum(pred(n2),succ(n2)))
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f136,f1894]) ).
fof(f1894,plain,
( n2 = sK12
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1893,f197]) ).
fof(f1893,plain,
( sum(n1,n1) = sK12
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1892,f151]) ).
fof(f1892,plain,
( sum(sum(n5,n7),n1) = sK12
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1891,f211]) ).
fof(f1891,plain,
( sum(sum(pred(n6),n7),n1) = sK12
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1890,f119]) ).
fof(f1890,plain,
( sK12 = sum(sum(pred(n6),succ(n6)),n1)
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f1881,f1889]) ).
fof(f1881,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),n1)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1880,f151]) ).
fof(f1880,plain,
( sK12 = sum(sum(pred(sK21),succ(sK21)),sum(n5,n7))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1879,f211]) ).
fof(f1879,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n6),n7)) = sK12
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1878,f119]) ).
fof(f1878,plain,
( sum(sum(pred(sK21),succ(sK21)),sum(pred(n6),succ(n6))) = sK12
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f135,f1877]) ).
fof(f1930,plain,
( sK16 = sum(sum(n7,succ(sK4)),sum(pred(sK4),n9))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1929,f60]) ).
fof(f1929,plain,
( sK16 = sum(sum(pred(n8),succ(sK4)),sum(pred(sK4),n9))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1925,f40]) ).
fof(f1925,plain,
( sK16 = sum(sum(pred(n8),succ(sK4)),sum(pred(sK4),succ(n8)))
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f28,f1923]) ).
fof(f1923,plain,
( n8 = sK11
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1922,f99]) ).
fof(f1922,plain,
( sum(n4,n4) = sK11
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1921,f120]) ).
fof(f1921,plain,
( sK11 = sum(sum(n1,n3),n4)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1920,f56]) ).
fof(f1920,plain,
( sK11 = sum(sum(pred(n2),n3),n4)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1919,f120]) ).
fof(f1919,plain,
( sK11 = sum(sum(pred(n2),n3),sum(n1,n3))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1918,f130]) ).
fof(f1918,plain,
( sK11 = sum(sum(pred(n2),n3),sum(n1,succ(n2)))
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f1899,f1913]) ).
fof(f1899,plain,
( sK11 = sum(sum(pred(sK19),n3),sum(n1,succ(sK19)))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1898,f130]) ).
fof(f1898,plain,
( sK11 = sum(sum(pred(sK19),succ(n2)),sum(n1,succ(sK19)))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1897,f56]) ).
fof(f1897,plain,
( sK11 = sum(sum(pred(sK19),succ(n2)),sum(pred(n2),succ(sK19)))
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f139,f1894]) ).
fof(f1944,plain,
( sK7 = sum(sum(pred(sK16),n0),sum(n9,succ(sK16)))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1943,f95]) ).
fof(f1943,plain,
( sK7 = sum(sum(pred(sK16),succ(n10)),sum(n9,succ(sK16)))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1941,f86]) ).
fof(f1941,plain,
( sK7 = sum(sum(pred(sK16),succ(n10)),sum(pred(n10),succ(sK16)))
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f22,f1940]) ).
fof(f1940,plain,
( n10 = sK0
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1939,f174]) ).
fof(f1939,plain,
( sum(n5,n5) = sK0
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1938,f204]) ).
fof(f1938,plain,
( sum(n5,sum(n7,n9)) = sK0
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1937,f60]) ).
fof(f1937,plain,
( sK0 = sum(n5,sum(pred(n8),n9))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1936,f40]) ).
fof(f1936,plain,
( sK0 = sum(n5,sum(pred(n8),succ(n8)))
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f1928,f1934]) ).
fof(f1928,plain,
( sum(n5,sum(pred(sK4),succ(sK4))) = sK0
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1927,f204]) ).
fof(f1927,plain,
( sum(sum(n7,n9),sum(pred(sK4),succ(sK4))) = sK0
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1926,f60]) ).
fof(f1926,plain,
( sum(sum(pred(n8),n9),sum(pred(sK4),succ(sK4))) = sK0
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1924,f40]) ).
fof(f1924,plain,
( sK0 = sum(sum(pred(n8),succ(n8)),sum(pred(sK4),succ(sK4)))
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f165,f1923]) ).
fof(f1965,plain,
( sum(sum(pred(sK7),n8),sum(n6,succ(sK7))) = sK20
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1964,f188]) ).
fof(f1964,plain,
( sum(sum(pred(sK7),succ(n7)),sum(n6,succ(sK7))) = sK20
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1959,f20]) ).
fof(f1959,plain,
( sK20 = sum(sum(pred(sK7),succ(n7)),sum(pred(n7),succ(sK7)))
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f59,f1958]) ).
fof(f1958,plain,
( n7 = sK17
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1957,f64]) ).
fof(f1957,plain,
( sum(n9,n9) = sK17
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1956,f63]) ).
fof(f1956,plain,
( sum(sum(n9,n0),n9) = sK17
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1955,f86]) ).
fof(f1955,plain,
( sK17 = sum(sum(pred(n10),n0),n9)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1953,f95]) ).
fof(f1953,plain,
( sK17 = sum(sum(pred(n10),succ(n10)),n9)
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f1947,f1952]) ).
fof(f1947,plain,
( sK17 = sum(sum(pred(sK16),succ(sK16)),n9)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1946,f63]) ).
fof(f1946,plain,
( sK17 = sum(sum(pred(sK16),succ(sK16)),sum(n9,n0))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1945,f86]) ).
fof(f1945,plain,
( sK17 = sum(sum(pred(sK16),succ(sK16)),sum(pred(n10),n0))
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1942,f95]) ).
fof(f1942,plain,
( sum(sum(pred(sK16),succ(sK16)),sum(pred(n10),succ(n10))) = sK17
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f118,f1940]) ).
fof(f2068,plain,
( n6 != sK20
| ~ spl22_2
| ~ spl22_18
| spl22_27 ),
inference(forward_demodulation,[],[f336,f1976]) ).
fof(f1976,plain,
( n6 = sK10
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1975,f157]) ).
fof(f1975,plain,
( sum(n3,n3) = sK10
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1974,f62]) ).
fof(f1974,plain,
( sK10 = sum(sum(n6,n8),n3)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1973,f20]) ).
fof(f1973,plain,
( sK10 = sum(sum(pred(n7),n8),n3)
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1972,f188]) ).
fof(f1972,plain,
( sum(sum(pred(n7),succ(n7)),n3) = sK10
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f1963,f1970]) ).
fof(f1963,plain,
( sum(sum(pred(sK7),succ(sK7)),n3) = sK10
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1962,f62]) ).
fof(f1962,plain,
( sum(sum(pred(sK7),succ(sK7)),sum(n6,n8)) = sK10
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1961,f20]) ).
fof(f1961,plain,
( sum(sum(pred(sK7),succ(sK7)),sum(pred(n7),n8)) = sK10
| ~ spl22_2
| ~ spl22_18 ),
inference(forward_demodulation,[],[f1960,f188]) ).
fof(f1960,plain,
( sum(sum(pred(sK7),succ(sK7)),sum(pred(n7),succ(n7))) = sK10
| ~ spl22_2
| ~ spl22_18 ),
inference(backward_demodulation,[],[f112,f1958]) ).
fof(f336,plain,
( sK20 != sK10
| spl22_27 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f2050,plain,
( ~ spl22_2
| ~ spl22_18
| spl22_31 ),
inference(avatar_contradiction_clause,[],[f2049]) ).
fof(f2049,plain,
( $false
| ~ spl22_2
| ~ spl22_18
| spl22_31 ),
inference(subsumption_resolution,[],[f2048,f1877]) ).
fof(f2048,plain,
( n6 != sK5
| ~ spl22_2
| ~ spl22_18
| spl22_31 ),
inference(forward_demodulation,[],[f352,f1889]) ).
fof(f1905,plain,
( spl22_28
| ~ spl22_32 ),
inference(avatar_split_clause,[],[f1904,f354,f338]) ).
fof(f1904,plain,
( sK6 = sK18
| ~ spl22_32 ),
inference(forward_demodulation,[],[f1903,f1882]) ).
fof(f1882,plain,
( sum(sum(pred(sK2),succ(sK2)),sum(pred(sK2),succ(sK2))) = sK6
| ~ spl22_32 ),
inference(forward_demodulation,[],[f84,f355]) ).
fof(f355,plain,
( sK15 = sK2
| ~ spl22_32 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f84,plain,
sum(sum(pred(sK15),succ(sK2)),sum(pred(sK2),succ(sK15))) = sK6,
inference(cnf_transformation,[],[f5]) ).
fof(f1903,plain,
( sum(sum(pred(sK2),succ(sK2)),sum(pred(sK2),succ(sK2))) = sK18
| ~ spl22_32 ),
inference(forward_demodulation,[],[f161,f355]) ).
fof(f161,plain,
sum(sum(pred(sK15),succ(sK15)),sum(pred(sK2),succ(sK2))) = sK18,
inference(cnf_transformation,[],[f5]) ).
fof(f357,plain,
( ~ spl22_23
| ~ spl22_24
| ~ spl22_25
| ~ spl22_26
| ~ spl22_27
| ~ spl22_28
| ~ spl22_29
| ~ spl22_30
| ~ spl22_31
| ~ spl22_32 ),
inference(avatar_split_clause,[],[f189,f354,f350,f346,f342,f338,f334,f330,f326,f322,f318]) ).
fof(f189,plain,
( sK15 != sK2
| sK5 != sK21
| sK11 != sK4
| sK13 != sK14
| sK6 != sK18
| sK20 != sK10
| sK12 != sK19
| sK8 != sK3
| sK16 != sK0
| sK17 != sK7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f316,plain,
( spl22_12
| spl22_13
| spl22_14
| spl22_15
| spl22_16
| spl22_17
| spl22_18
| spl22_19
| spl22_20
| spl22_21
| spl22_22 ),
inference(avatar_split_clause,[],[f102,f313,f309,f305,f301,f297,f293,f289,f285,f281,f277,f273]) ).
fof(f102,plain,
( n7 = sK1
| n10 = sK1
| n1 = sK1
| n4 = sK1
| n0 = sK1
| n9 = sK1
| n3 = sK1
| n6 = sK1
| n2 = sK1
| n5 = sK1
| n8 = sK1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f271,plain,
( spl22_1
| spl22_2
| spl22_3
| spl22_4
| spl22_5
| spl22_6
| spl22_7
| spl22_8
| spl22_9
| spl22_10
| spl22_11 ),
inference(avatar_split_clause,[],[f224,f268,f264,f260,f256,f252,f248,f244,f240,f236,f232,f228]) ).
fof(f224,plain,
( n6 = sK9
| n4 = sK9
| n5 = sK9
| n1 = sK9
| n2 = sK9
| n9 = sK9
| n0 = sK9
| n8 = sK9
| n7 = sK9
| n3 = sK9
| n10 = sK9 ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM377+1.010 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:28:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (11144)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57 % (11153)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.58 % (11160)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.58 % (11151)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.58 % (11143)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58 % (11161)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.58 % (11144)Instruction limit reached!
% 0.20/0.58 % (11144)------------------------------
% 0.20/0.58 % (11144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (11152)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.58 % (11145)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.59 % (11145)Instruction limit reached!
% 0.20/0.59 % (11145)------------------------------
% 0.20/0.59 % (11145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (11145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (11145)Termination reason: Unknown
% 0.20/0.59 % (11145)Termination phase: shuffling
% 0.20/0.59
% 0.20/0.59 % (11145)Memory used [KB]: 1023
% 0.20/0.59 % (11145)Time elapsed: 0.003 s
% 0.20/0.59 % (11145)Instructions burned: 2 (million)
% 0.20/0.59 % (11145)------------------------------
% 0.20/0.59 % (11145)------------------------------
% 0.20/0.59 % (11150)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.59 % (11159)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.60 % (11144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (11144)Termination reason: Unknown
% 0.20/0.60 % (11144)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (11144)Memory used [KB]: 5628
% 0.20/0.60 % (11144)Time elapsed: 0.008 s
% 0.20/0.60 % (11144)Instructions burned: 8 (million)
% 0.20/0.60 % (11144)------------------------------
% 0.20/0.60 % (11144)------------------------------
% 0.20/0.60 % (11158)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.56/0.60 % (11166)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.56/0.61 % (11155)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.91/0.62 % (11163)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.91/0.62 % (11139)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.91/0.63 % (11140)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.91/0.63 % (11147)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.91/0.63 % (11148)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.91/0.64 % (11156)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.91/0.64 TRYING [11]
% 1.91/0.65 % (11164)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.91/0.66 % (11143)Instruction limit reached!
% 1.91/0.66 % (11143)------------------------------
% 1.91/0.66 % (11143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67 % (11143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67 % (11143)Termination reason: Unknown
% 2.23/0.67 % (11143)Termination phase: Finite model building constraint generation
% 2.23/0.67
% 2.23/0.67 % (11143)Memory used [KB]: 9722
% 2.23/0.67 % (11143)Time elapsed: 0.213 s
% 2.23/0.67 % (11143)Instructions burned: 52 (million)
% 2.23/0.67 % (11143)------------------------------
% 2.23/0.67 % (11143)------------------------------
% 2.23/0.68 % (11137)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.23/0.69 % (11141)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.23/0.69 % (11154)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.23/0.70 % (11165)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.23/0.70 % (11146)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.23/0.70 % (11162)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.23/0.71 % (11149)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.23/0.71 % (11152)Instruction limit reached!
% 2.23/0.71 % (11152)------------------------------
% 2.23/0.71 % (11152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71 % (11139)Instruction limit reached!
% 2.23/0.71 % (11139)------------------------------
% 2.23/0.71 % (11139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71 % (11139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71 % (11139)Termination reason: Unknown
% 2.23/0.71 % (11139)Termination phase: Saturation
% 2.23/0.71
% 2.23/0.71 % (11139)Memory used [KB]: 1407
% 2.23/0.71 % (11139)Time elapsed: 0.257 s
% 2.23/0.71 % (11139)Instructions burned: 38 (million)
% 2.23/0.71 % (11139)------------------------------
% 2.23/0.71 % (11139)------------------------------
% 2.23/0.71 % (11152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71 % (11152)Termination reason: Unknown
% 2.23/0.71 % (11152)Termination phase: Saturation
% 2.23/0.71
% 2.23/0.71 % (11152)Memory used [KB]: 1535
% 2.23/0.71 % (11152)Time elapsed: 0.246 s
% 2.23/0.71 % (11152)Instructions burned: 75 (million)
% 2.23/0.71 % (11152)------------------------------
% 2.23/0.71 % (11152)------------------------------
% 2.23/0.71 % (11142)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 2.23/0.71 % (11157)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.23/0.73 % (11151)Instruction limit reached!
% 2.23/0.73 % (11151)------------------------------
% 2.23/0.73 % (11151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.73 % (11151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.73 % (11151)Termination reason: Unknown
% 2.23/0.73 % (11151)Termination phase: Saturation
% 2.23/0.73
% 2.23/0.73 % (11151)Memory used [KB]: 6908
% 2.23/0.73 % (11151)Time elapsed: 0.077 s
% 2.23/0.73 % (11151)Instructions burned: 69 (million)
% 2.23/0.73 % (11151)------------------------------
% 2.23/0.73 % (11151)------------------------------
% 2.23/0.73 % (11138)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.23/0.74 % (11147)Instruction limit reached!
% 2.23/0.74 % (11147)------------------------------
% 2.23/0.74 % (11147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.76 % (11147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.76 % (11147)Termination reason: Unknown
% 2.80/0.76 % (11147)Termination phase: Saturation
% 2.80/0.76
% 2.80/0.76 % (11147)Memory used [KB]: 6268
% 2.80/0.76 % (11147)Time elapsed: 0.309 s
% 2.80/0.76 % (11147)Instructions burned: 50 (million)
% 2.80/0.76 % (11147)------------------------------
% 2.80/0.76 % (11147)------------------------------
% 2.80/0.76 % (11140)Instruction limit reached!
% 2.80/0.76 % (11140)------------------------------
% 2.80/0.76 % (11140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.76 % (11140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.76 % (11140)Termination reason: Unknown
% 2.80/0.76 % (11140)Termination phase: Saturation
% 2.80/0.76
% 2.80/0.76 % (11140)Memory used [KB]: 6396
% 2.80/0.76 % (11140)Time elapsed: 0.324 s
% 2.80/0.76 % (11140)Instructions burned: 51 (million)
% 2.80/0.76 % (11140)------------------------------
% 2.80/0.76 % (11140)------------------------------
% 2.80/0.77 % (11163)Instruction limit reached!
% 2.80/0.77 % (11163)------------------------------
% 2.80/0.77 % (11163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.80/0.77 % (11163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.80/0.77 % (11163)Termination reason: Unknown
% 2.80/0.77 % (11163)Termination phase: Saturation
% 2.80/0.77
% 2.80/0.77 % (11163)Memory used [KB]: 6908
% 2.80/0.77 % (11163)Time elapsed: 0.059 s
% 2.80/0.77 % (11163)Instructions burned: 68 (million)
% 2.80/0.77 % (11163)------------------------------
% 2.80/0.77 % (11163)------------------------------
% 2.80/0.77 % (11169)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.01/0.79 % (11155)Instruction limit reached!
% 3.01/0.79 % (11155)------------------------------
% 3.01/0.79 % (11155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.79 % (11155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.79 % (11155)Termination reason: Unknown
% 3.01/0.79 % (11155)Termination phase: Saturation
% 3.01/0.79
% 3.01/0.79 % (11155)Memory used [KB]: 6652
% 3.01/0.79 % (11155)Time elapsed: 0.079 s
% 3.01/0.79 % (11155)Instructions burned: 101 (million)
% 3.01/0.79 % (11155)------------------------------
% 3.01/0.79 % (11155)------------------------------
% 3.01/0.79 % (11153)Instruction limit reached!
% 3.01/0.79 % (11153)------------------------------
% 3.01/0.79 % (11153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.79 % (11153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.79 % (11153)Termination reason: Unknown
% 3.01/0.79 % (11153)Termination phase: Saturation
% 3.01/0.79
% 3.01/0.79 % (11153)Memory used [KB]: 6652
% 3.01/0.79 % (11153)Time elapsed: 0.338 s
% 3.01/0.79 % (11153)Instructions burned: 99 (million)
% 3.01/0.79 % (11153)------------------------------
% 3.01/0.79 % (11153)------------------------------
% 3.01/0.80 % (11173)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.01/0.80 TRYING [11]
% 3.01/0.80 % (11150)Instruction limit reached!
% 3.01/0.80 % (11150)------------------------------
% 3.01/0.80 % (11150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.80 % (11150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.80 % (11150)Termination reason: Unknown
% 3.01/0.80 % (11150)Termination phase: Saturation
% 3.01/0.80
% 3.01/0.80 % (11150)Memory used [KB]: 6908
% 3.01/0.80 % (11150)Time elapsed: 0.356 s
% 3.01/0.80 % (11150)Instructions burned: 99 (million)
% 3.01/0.80 % (11150)------------------------------
% 3.01/0.80 % (11150)------------------------------
% 3.01/0.82 TRYING [11]
% 3.31/0.84 % (11154)Instruction limit reached!
% 3.31/0.84 % (11154)------------------------------
% 3.31/0.84 % (11154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.84 % (11154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.84 % (11154)Termination reason: Unknown
% 3.31/0.84 % (11154)Termination phase: Finite model building constraint generation
% 3.31/0.84
% 3.31/0.84 % (11154)Memory used [KB]: 10618
% 3.31/0.84 % (11154)Time elapsed: 0.342 s
% 3.31/0.84 % (11154)Instructions burned: 60 (million)
% 3.31/0.84 % (11154)------------------------------
% 3.31/0.84 % (11154)------------------------------
% 3.31/0.85 % (11146)Instruction limit reached!
% 3.31/0.85 % (11146)------------------------------
% 3.31/0.85 % (11146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.85 % (11146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.85 % (11146)Termination reason: Unknown
% 3.31/0.85 % (11146)Termination phase: Saturation
% 3.31/0.85
% 3.31/0.85 % (11146)Memory used [KB]: 1407
% 3.31/0.85 % (11146)Time elapsed: 0.368 s
% 3.31/0.85 % (11146)Instructions burned: 51 (million)
% 3.31/0.85 % (11146)------------------------------
% 3.31/0.85 % (11146)------------------------------
% 3.31/0.85 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.31/0.85 % (11193)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/981Mi)
% 3.43/0.86 % (11156)Instruction limit reached!
% 3.43/0.86 % (11156)------------------------------
% 3.43/0.86 % (11156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.86 % (11156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.86 % (11156)Termination reason: Unknown
% 3.43/0.86 % (11156)Termination phase: Saturation
% 3.43/0.86
% 3.43/0.86 % (11156)Memory used [KB]: 1407
% 3.43/0.86 % (11156)Time elapsed: 0.412 s
% 3.43/0.86 % (11156)Instructions burned: 102 (million)
% 3.43/0.86 % (11156)------------------------------
% 3.43/0.86 % (11156)------------------------------
% 3.43/0.86 % (11141)Instruction limit reached!
% 3.43/0.86 % (11141)------------------------------
% 3.43/0.86 % (11141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.86 % (11141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.86 % (11141)Termination reason: Unknown
% 3.43/0.86 % (11141)Termination phase: Saturation
% 3.43/0.86
% 3.43/0.86 % (11141)Memory used [KB]: 6140
% 3.43/0.86 % (11141)Time elapsed: 0.042 s
% 3.43/0.86 % (11141)Instructions burned: 51 (million)
% 3.43/0.86 % (11141)------------------------------
% 3.43/0.86 % (11141)------------------------------
% 3.43/0.86 % (11142)Instruction limit reached!
% 3.43/0.86 % (11142)------------------------------
% 3.43/0.86 % (11142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.86 % (11142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.86 % (11142)Termination reason: Unknown
% 3.43/0.86 % (11142)Termination phase: Saturation
% 3.43/0.86
% 3.43/0.86 % (11142)Memory used [KB]: 6268
% 3.43/0.86 % (11142)Time elapsed: 0.422 s
% 3.43/0.86 % (11142)Instructions burned: 48 (million)
% 3.43/0.86 % (11142)------------------------------
% 3.43/0.86 % (11142)------------------------------
% 3.43/0.86 % (11138)Instruction limit reached!
% 3.43/0.86 % (11138)------------------------------
% 3.43/0.86 % (11138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.86 % (11138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.86 % (11138)Termination reason: Unknown
% 3.43/0.86 % (11138)Termination phase: Saturation
% 3.43/0.86
% 3.43/0.86 % (11138)Memory used [KB]: 6140
% 3.43/0.86 % (11138)Time elapsed: 0.040 s
% 3.43/0.86 % (11138)Instructions burned: 50 (million)
% 3.43/0.86 % (11138)------------------------------
% 3.43/0.86 % (11138)------------------------------
% 3.43/0.87 % (11175)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.43/0.89 % (11148)Instruction limit reached!
% 3.43/0.89 % (11148)------------------------------
% 3.43/0.89 % (11148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.89 % (11148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.89 % (11148)Termination reason: Unknown
% 3.43/0.89 % (11148)Termination phase: Saturation
% 3.43/0.89
% 3.43/0.89 % (11148)Memory used [KB]: 6908
% 3.43/0.89 % (11148)Time elapsed: 0.456 s
% 3.43/0.89 % (11148)Instructions burned: 101 (million)
% 3.43/0.89 % (11148)------------------------------
% 3.43/0.89 % (11148)------------------------------
% 3.43/0.90 % (11158)Instruction limit reached!
% 3.43/0.90 % (11158)------------------------------
% 3.43/0.90 % (11158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.90 % (11158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.90 % (11158)Termination reason: Unknown
% 3.43/0.90 % (11158)Termination phase: Saturation
% 3.43/0.90
% 3.43/0.90 % (11158)Memory used [KB]: 6908
% 3.43/0.90 % (11158)Time elapsed: 0.104 s
% 3.43/0.90 % (11158)Instructions burned: 138 (million)
% 3.43/0.90 % (11158)------------------------------
% 3.43/0.90 % (11158)------------------------------
% 3.68/0.94 % (11182)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.68/0.94 % (11164)Instruction limit reached!
% 3.68/0.94 % (11164)------------------------------
% 3.68/0.94 % (11164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.68/0.94 % (11164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.68/0.94 % (11164)Termination reason: Unknown
% 3.68/0.94 % (11164)Termination phase: Saturation
% 3.68/0.94
% 3.68/0.94 % (11164)Memory used [KB]: 1535
% 3.68/0.94 % (11164)Time elapsed: 0.476 s
% 3.68/0.94 % (11164)Instructions burned: 177 (million)
% 3.68/0.94 % (11164)------------------------------
% 3.68/0.94 % (11164)------------------------------
% 3.68/0.95 % (11183)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.80/0.96 % (11186)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.80/0.97 % (11194)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.80/0.98 % (11193)First to succeed.
% 3.80/0.99 % (11189)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.80/1.01 % (11191)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.80/1.02 % (11193)Refutation found. Thanks to Tanya!
% 3.80/1.02 % SZS status Unsatisfiable for theBenchmark
% 3.80/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.80/1.04 % (11193)------------------------------
% 3.80/1.04 % (11193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.80/1.04 % (11193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.80/1.04 % (11193)Termination reason: Refutation
% 3.80/1.04
% 3.80/1.04 % (11193)Memory used [KB]: 7675
% 3.80/1.04 % (11193)Time elapsed: 0.170 s
% 3.80/1.04 % (11193)Instructions burned: 219 (million)
% 3.80/1.04 % (11193)------------------------------
% 3.80/1.04 % (11193)------------------------------
% 3.80/1.04 % (11136)Success in time 0.658 s
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