TSTP Solution File: NUM375+1.010 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM375+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Sun May 5 08:18:52 EDT 2024
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of formulae : 1649 ( 156 unt; 0 def)
% Number of atoms : 5288 (2327 equ)
% Maximal formula atoms : 464 ( 3 avg)
% Number of connectives : 6698 (3059 ~;2772 |; 844 &)
% ( 22 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 216 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 6 ( 0 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2784,plain,
$false,
inference(avatar_sat_refutation,[],[f260,f316,f327,f337,f349,f359,f372,f382,f396,f406,f422,f431,f448,f457,f475,f484,f503,f512,f532,f541,f562,f571,f593,f602,f616,f630,f645,f661,f678,f696,f715,f735,f756,f776,f807,f827,f846,f864,f882,f899,f919,f938,f957,f976,f1005,f1025,f1044,f1065,f1085,f1105,f1124,f1143,f1162,f1191,f1211,f1230,f1248,f1267,f1285,f1302,f1320,f1337,f1365,f1384,f1402,f1420,f1437,f1454,f1475,f1495,f1522,f1540,f1559,f1577,f1597,f1616,f1635,f1653,f1683,f1701,f1721,f1740,f1761,f1781,f1801,f1830,f1847,f1865,f1882,f1902,f1921,f1940,f1971,f1990,f2007,f2024,f2042,f2063,f2082,f2100,f2119,f2137,f2154,f2171,f2198,f2218,f2236,f2254,f2274,f2292,f2310,f2329,f2347,f2365,f2385,f2403,f2420,f2439,f2468,f2486,f2503,f2522,f2551,f2570,f2588,f2616,f2634,f2653,f2673,f2691,f2720,f2737,f2766,f2783]) ).
fof(f2783,plain,
( ~ spl3_4
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2782]) ).
fof(f2782,plain,
( $false
| ~ spl3_4
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f2781,f158]) ).
fof(f158,plain,
n8 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f3,plain,
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n10 != sK2
& n9 != sK2
& n8 != sK2
& n7 != sK2
& n6 != sK2
& n5 != sK2
& n4 != sK2
& n3 != sK2
& n2 != sK2
& n1 != sK2
& n0 != sK2
& sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1))))
& ( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f1,f2]) ).
fof(f2,plain,
( ? [X0,X1,X2] :
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n10 != X2
& n9 != X2
& n8 != X2
& n7 != X2
& n6 != X2
& n5 != X2
& n4 != X2
& n3 != X2
& n2 != X2
& n1 != X2
& n0 != X2
& sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1)))) = X2
& ( n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 )
=> ( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n10 != sK2
& n9 != sK2
& n8 != sK2
& n7 != sK2
& n6 != sK2
& n5 != sK2
& n4 != sK2
& n3 != sK2
& n2 != sK2
& n1 != sK2
& n0 != sK2
& sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1))))
& ( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0,X1,X2] :
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n10 != X2
& n9 != X2
& n8 != X2
& n7 != X2
& n6 != X2
& n5 != X2
& n4 != X2
& n3 != X2
& n2 != X2
& n1 != X2
& n0 != X2
& sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1)))) = X2
& ( n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2781,plain,
( n8 = sK2
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2780,f74]) ).
fof(f74,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2780,plain,
( sum(n4,n4) = sK2
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2779,f20]) ).
fof(f20,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2779,plain,
( sK2 = sum(pred(n5),n4)
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2778,f61]) ).
fof(f61,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2778,plain,
( sK2 = sum(pred(sum(n3,n2)),n4)
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2777,f5]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f3]) ).
fof(f2777,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),n4)
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2776,f40]) ).
fof(f40,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2776,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,n3))
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2775,f19]) ).
fof(f19,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2775,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,pred(n4)))
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2774,f60]) ).
fof(f60,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2774,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,pred(sum(n3,n1))))
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2767,f231]) ).
fof(f231,plain,
( n3 = sK0
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f229,plain,
( spl3_4
<=> n3 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f2767,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_13 ),
inference(superposition,[],[f149,f279]) ).
fof(f279,plain,
( n1 = sK1
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl3_13
<=> n1 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f149,plain,
sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1)))),
inference(cnf_transformation,[],[f3]) ).
fof(f2766,plain,
( ~ spl3_4
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2765]) ).
fof(f2765,plain,
( $false
| ~ spl3_4
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2764,f151]) ).
fof(f151,plain,
n1 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f2764,plain,
( n1 = sK2
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2763,f128]) ).
fof(f128,plain,
n1 = sum(n9,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2763,plain,
( sum(n9,n3) = sK2
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2762,f25]) ).
fof(f25,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2762,plain,
( sK2 = sum(pred(n10),n3)
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2761,f66]) ).
fof(f66,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2761,plain,
( sK2 = sum(pred(sum(n3,n7)),n3)
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2760,f10]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f3]) ).
fof(f2760,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),n3)
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2759,f100]) ).
fof(f100,plain,
n3 = sum(n6,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2759,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,n8))
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2758,f24]) ).
fof(f24,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2758,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,pred(n9)))
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2757,f65]) ).
fof(f65,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2757,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,pred(sum(n3,n6))))
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2749,f231]) ).
fof(f2749,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_18 ),
inference(superposition,[],[f149,f299]) ).
fof(f299,plain,
( n6 = sK1
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl3_18
<=> n6 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f2737,plain,
( ~ spl3_5
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2736]) ).
fof(f2736,plain,
( $false
| ~ spl3_5
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f2735,f160]) ).
fof(f160,plain,
n10 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f2735,plain,
( n10 = sK2
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2734,f86]) ).
fof(f86,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2734,plain,
( sum(n5,n5) = sK2
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2733,f21]) ).
fof(f21,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2733,plain,
( sK2 = sum(pred(n6),n5)
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2732,f72]) ).
fof(f72,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2732,plain,
( sK2 = sum(pred(sum(n4,n2)),n5)
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2731,f5]) ).
fof(f2731,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),n5)
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2730,f41]) ).
fof(f41,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2730,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,n4))
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2729,f20]) ).
fof(f2729,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,pred(n5)))
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2728,f71]) ).
fof(f71,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2728,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,pred(sum(n4,n1))))
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2721,f235]) ).
fof(f235,plain,
( n4 = sK0
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl3_5
<=> n4 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f2721,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_13 ),
inference(superposition,[],[f149,f279]) ).
fof(f2720,plain,
( ~ spl3_5
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2719]) ).
fof(f2719,plain,
( $false
| ~ spl3_5
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2718,f153]) ).
fof(f153,plain,
n3 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f2718,plain,
( n3 = sK2
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2717,f140]) ).
fof(f140,plain,
n3 = sum(n10,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2717,plain,
( sum(n10,n4) = sK2
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2716,f15]) ).
fof(f15,plain,
n10 = pred(n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2716,plain,
( sK2 = sum(pred(n0),n4)
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2715,f77]) ).
fof(f77,plain,
n0 = sum(n4,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2715,plain,
( sK2 = sum(pred(sum(n4,n7)),n4)
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2714,f10]) ).
fof(f2714,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),n4)
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2713,f101]) ).
fof(f101,plain,
n4 = sum(n6,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2713,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,n9))
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2712,f25]) ).
fof(f2712,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(n10)))
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2711,f76]) ).
fof(f76,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2711,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(sum(n4,n6))))
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2703,f235]) ).
fof(f2703,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_18 ),
inference(superposition,[],[f149,f299]) ).
fof(f2691,plain,
( ~ spl3_4
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2690]) ).
fof(f2690,plain,
( $false
| ~ spl3_4
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2689,f157]) ).
fof(f157,plain,
n7 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f2689,plain,
( n7 = sK2
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2688,f33]) ).
fof(f33,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2688,plain,
( sum(n0,n7) = sK2
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2687,f16]) ).
fof(f16,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2687,plain,
( sK2 = sum(pred(n1),n7)
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2686,f68]) ).
fof(f68,plain,
n1 = sum(n3,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2686,plain,
( sK2 = sum(pred(sum(n3,n9)),n7)
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2685,f12]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f3]) ).
fof(f2685,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),n7)
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2684,f124]) ).
fof(f124,plain,
n7 = sum(n8,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2684,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,n10))
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2683,f15]) ).
fof(f2683,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,pred(n0)))
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2682,f67]) ).
fof(f67,plain,
n0 = sum(n3,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2682,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,pred(sum(n3,n8))))
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2674,f307]) ).
fof(f307,plain,
( n8 = sK1
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl3_20
<=> n8 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f2674,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f149,f231]) ).
fof(f2673,plain,
( ~ spl3_5
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2672]) ).
fof(f2672,plain,
( $false
| ~ spl3_5
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2671,f159]) ).
fof(f159,plain,
n9 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f2671,plain,
( n9 = sK2
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2670,f45]) ).
fof(f45,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2670,plain,
( sum(n1,n8) = sK2
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2669,f17]) ).
fof(f17,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2669,plain,
( sK2 = sum(pred(n2),n8)
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2668,f79]) ).
fof(f79,plain,
n2 = sum(n4,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2668,plain,
( sK2 = sum(pred(sum(n4,n9)),n8)
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2667,f12]) ).
fof(f2667,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),n8)
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2666,f114]) ).
fof(f114,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2666,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,n0))
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2665,f16]) ).
fof(f2665,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,pred(n1)))
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2664,f78]) ).
fof(f78,plain,
n1 = sum(n4,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2664,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,pred(sum(n4,n8))))
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2655,f307]) ).
fof(f2655,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f149,f235]) ).
fof(f2653,plain,
( ~ spl3_1
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2652]) ).
fof(f2652,plain,
( $false
| ~ spl3_1
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2651,f151]) ).
fof(f2651,plain,
( n1 = sK2
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2650,f118]) ).
fof(f118,plain,
n1 = sum(n8,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2650,plain,
( sum(n8,n4) = sK2
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2649,f24]) ).
fof(f2649,plain,
( sK2 = sum(pred(n9),n4)
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2648,f35]) ).
fof(f35,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2648,plain,
( sK2 = sum(pred(sum(n0,n9)),n4)
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2647,f12]) ).
fof(f2647,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),n4)
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2646,f121]) ).
fof(f121,plain,
n4 = sum(n8,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2646,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,n7))
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2645,f23]) ).
fof(f23,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2645,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,pred(n8)))
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2644,f34]) ).
fof(f34,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2644,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,pred(sum(n0,n8))))
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2635,f219]) ).
fof(f219,plain,
( n0 = sK0
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl3_1
<=> n0 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f2635,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_20 ),
inference(superposition,[],[f149,f307]) ).
fof(f2634,plain,
( ~ spl3_1
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2633]) ).
fof(f2633,plain,
( $false
| ~ spl3_1
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2632,f156]) ).
fof(f156,plain,
n6 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f2632,plain,
( n6 = sK2
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2631,f92]) ).
fof(f92,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2631,plain,
( sum(n6,n0) = sK2
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2630,f22]) ).
fof(f22,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2630,plain,
( sK2 = sum(pred(n7),n0)
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2629,f33]) ).
fof(f2629,plain,
( sK2 = sum(pred(sum(n0,n7)),n0)
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2628,f10]) ).
fof(f2628,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),n0)
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2627,f97]) ).
fof(f97,plain,
n0 = sum(n6,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2627,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,n5))
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2626,f21]) ).
fof(f2626,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(n6)))
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2625,f32]) ).
fof(f32,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2625,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(sum(n0,n6))))
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2617,f219]) ).
fof(f2617,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_18 ),
inference(superposition,[],[f149,f299]) ).
fof(f2616,plain,
( ~ spl3_1
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2615]) ).
fof(f2615,plain,
( $false
| ~ spl3_1
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f2614,f152]) ).
fof(f152,plain,
n2 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f2614,plain,
( n2 = sK2
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2613,f38]) ).
fof(f38,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2613,plain,
( sum(n1,n1) = sK2
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2612,f17]) ).
fof(f2612,plain,
( sK2 = sum(pred(n2),n1)
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2611,f28]) ).
fof(f28,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2611,plain,
( sK2 = sum(pred(sum(n0,n2)),n1)
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2610,f5]) ).
fof(f2610,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),n1)
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2609,f37]) ).
fof(f37,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2609,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,n0))
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2608,f16]) ).
fof(f2608,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(n1)))
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2607,f27]) ).
fof(f27,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2607,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(sum(n0,n1))))
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2600,f219]) ).
fof(f2600,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_13 ),
inference(superposition,[],[f149,f279]) ).
fof(f2588,plain,
( ~ spl3_4
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2587]) ).
fof(f2587,plain,
( $false
| ~ spl3_4
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f2586,f156]) ).
fof(f2586,plain,
( n6 = sK2
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2585,f113]) ).
fof(f113,plain,
n6 = sum(n7,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2585,plain,
( sum(n7,n10) = sK2
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2584,f23]) ).
fof(f2584,plain,
( sK2 = sum(pred(n8),n10)
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2583,f64]) ).
fof(f64,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2583,plain,
( sK2 = sum(pred(sum(n3,n5)),n10)
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2582,f8]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f3]) ).
fof(f2582,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),n10)
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2581,f76]) ).
fof(f2581,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,n6))
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2580,f22]) ).
fof(f2580,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,pred(n7)))
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2579,f63]) ).
fof(f63,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2579,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,pred(sum(n3,n4))))
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2571,f291]) ).
fof(f291,plain,
( n4 = sK1
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl3_16
<=> n4 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f2571,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f149,f231]) ).
fof(f2570,plain,
( ~ spl3_1
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2569]) ).
fof(f2569,plain,
( $false
| ~ spl3_1
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f2568,f150]) ).
fof(f150,plain,
n0 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f2568,plain,
( n0 = sK2
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2567,f77]) ).
fof(f2567,plain,
( sum(n4,n7) = sK2
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2566,f20]) ).
fof(f2566,plain,
( sK2 = sum(pred(n5),n7)
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2565,f31]) ).
fof(f31,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2565,plain,
( sK2 = sum(pred(sum(n0,n5)),n7)
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2564,f8]) ).
fof(f2564,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),n7)
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2563,f73]) ).
fof(f73,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2563,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,n3))
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2562,f19]) ).
fof(f2562,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(n4)))
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2561,f30]) ).
fof(f30,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2561,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(sum(n0,n4))))
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2553,f291]) ).
fof(f2553,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f149,f219]) ).
fof(f2551,plain,
( ~ spl3_5
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2550]) ).
fof(f2550,plain,
( $false
| ~ spl3_5
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f2549,f158]) ).
fof(f2549,plain,
( n8 = sK2
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2548,f114]) ).
fof(f2548,plain,
( sum(n8,n0) = sK2
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2547,f24]) ).
fof(f2547,plain,
( sK2 = sum(pred(n9),n0)
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2546,f75]) ).
fof(f75,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2546,plain,
( sK2 = sum(pred(sum(n4,n5)),n0)
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2545,f8]) ).
fof(f2545,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),n0)
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2544,f77]) ).
fof(f2544,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,n7))
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2543,f23]) ).
fof(f2543,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(n8)))
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2542,f74]) ).
fof(f2542,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(sum(n4,n4))))
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2534,f235]) ).
fof(f2534,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_16 ),
inference(superposition,[],[f149,f291]) ).
fof(f2522,plain,
( ~ spl3_3
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2521]) ).
fof(f2521,plain,
( $false
| ~ spl3_3
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2520,f155]) ).
fof(f155,plain,
n5 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f2520,plain,
( n5 = sK2
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2519,f142]) ).
fof(f142,plain,
n5 = sum(n10,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2519,plain,
( sum(n10,n6) = sK2
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2518,f15]) ).
fof(f2518,plain,
( sK2 = sum(pred(n0),n6)
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2517,f57]) ).
fof(f57,plain,
n0 = sum(n2,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2517,plain,
( sK2 = sum(pred(sum(n2,n9)),n6)
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2516,f12]) ).
fof(f2516,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),n6)
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2515,f123]) ).
fof(f123,plain,
n6 = sum(n8,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2515,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,n9))
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2514,f25]) ).
fof(f2514,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(n10)))
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2513,f56]) ).
fof(f56,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2513,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(sum(n2,n8))))
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2504,f227]) ).
fof(f227,plain,
( n2 = sK0
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl3_3
<=> n2 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f2504,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_20 ),
inference(superposition,[],[f149,f307]) ).
fof(f2503,plain,
( ~ spl3_3
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2502]) ).
fof(f2502,plain,
( $false
| ~ spl3_3
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f2501,f156]) ).
fof(f2501,plain,
( n6 = sK2
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2500,f62]) ).
fof(f62,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2500,plain,
( sum(n3,n3) = sK2
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2499,f19]) ).
fof(f2499,plain,
( sK2 = sum(pred(n4),n3)
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2498,f50]) ).
fof(f50,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2498,plain,
( sK2 = sum(pred(sum(n2,n2)),n3)
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2497,f5]) ).
fof(f2497,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),n3)
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2496,f39]) ).
fof(f39,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2496,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,n2))
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2495,f18]) ).
fof(f18,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2495,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,pred(n3)))
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2494,f49]) ).
fof(f49,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2494,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,pred(sum(n2,n1))))
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2487,f227]) ).
fof(f2487,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_13 ),
inference(superposition,[],[f149,f279]) ).
fof(f2486,plain,
( ~ spl3_3
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2485]) ).
fof(f2485,plain,
( $false
| ~ spl3_3
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2484,f160]) ).
fof(f2484,plain,
( n10 = sK2
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2483,f116]) ).
fof(f116,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2483,plain,
( sum(n8,n2) = sK2
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2482,f24]) ).
fof(f2482,plain,
( sK2 = sum(pred(n9),n2)
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2481,f55]) ).
fof(f55,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2481,plain,
( sK2 = sum(pred(sum(n2,n7)),n2)
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2480,f10]) ).
fof(f2480,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),n2)
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2479,f99]) ).
fof(f99,plain,
n2 = sum(n6,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2479,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,n7))
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2478,f23]) ).
fof(f2478,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,pred(n8)))
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2477,f54]) ).
fof(f54,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2477,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,pred(sum(n2,n6))))
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2469,f227]) ).
fof(f2469,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_18 ),
inference(superposition,[],[f149,f299]) ).
fof(f2468,plain,
( ~ spl3_3
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2467]) ).
fof(f2467,plain,
( $false
| ~ spl3_3
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f2466,f154]) ).
fof(f154,plain,
n4 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f2466,plain,
( n4 = sK2
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2465,f101]) ).
fof(f2465,plain,
( sum(n6,n9) = sK2
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2464,f22]) ).
fof(f2464,plain,
( sK2 = sum(pred(n7),n9)
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2463,f53]) ).
fof(f53,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2463,plain,
( sK2 = sum(pred(sum(n2,n5)),n9)
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2462,f8]) ).
fof(f2462,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),n9)
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2461,f75]) ).
fof(f2461,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,n5))
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2460,f21]) ).
fof(f2460,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,pred(n6)))
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2459,f52]) ).
fof(f52,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2459,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,pred(sum(n2,n4))))
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2451,f227]) ).
fof(f2451,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_16 ),
inference(superposition,[],[f149,f291]) ).
fof(f2439,plain,
( ~ spl3_5
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f2438]) ).
fof(f2438,plain,
( $false
| ~ spl3_5
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f2437,f152]) ).
fof(f2437,plain,
( n2 = sK2
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2436,f99]) ).
fof(f2436,plain,
( sum(n6,n7) = sK2
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2435,f22]) ).
fof(f2435,plain,
( sK2 = sum(pred(n7),n7)
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2434,f73]) ).
fof(f2434,plain,
( sK2 = sum(pred(sum(n4,n3)),n7)
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2433,f6]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f3]) ).
fof(f2433,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),n7)
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2432,f53]) ).
fof(f2432,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,n5))
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2431,f21]) ).
fof(f2431,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,pred(n6)))
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2430,f72]) ).
fof(f2430,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,pred(sum(n4,n2))))
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2421,f283]) ).
fof(f283,plain,
( n2 = sK1
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl3_14
<=> n2 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f2421,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f149,f235]) ).
fof(f2420,plain,
( ~ spl3_1
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f2419]) ).
fof(f2419,plain,
( $false
| ~ spl3_1
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f2418,f155]) ).
fof(f2418,plain,
( n5 = sK2
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2417,f51]) ).
fof(f51,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2417,plain,
( sum(n2,n3) = sK2
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2416,f18]) ).
fof(f2416,plain,
( sK2 = sum(pred(n3),n3)
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2415,f29]) ).
fof(f29,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2415,plain,
( sK2 = sum(pred(sum(n0,n3)),n3)
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2414,f6]) ).
fof(f2414,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),n3)
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2413,f49]) ).
fof(f2413,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,n1))
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2412,f17]) ).
fof(f2412,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(n2)))
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2411,f28]) ).
fof(f2411,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(sum(n0,n2))))
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2404,f283]) ).
fof(f2404,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f149,f219]) ).
fof(f2403,plain,
( ~ spl3_3
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f2402]) ).
fof(f2402,plain,
( $false
| ~ spl3_3
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f2401,f159]) ).
fof(f2401,plain,
( n9 = sK2
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2400,f75]) ).
fof(f2400,plain,
( sum(n4,n5) = sK2
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2399,f20]) ).
fof(f2399,plain,
( sK2 = sum(pred(n5),n5)
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2398,f51]) ).
fof(f2398,plain,
( sK2 = sum(pred(sum(n2,n3)),n5)
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2397,f6]) ).
fof(f2397,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),n5)
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2396,f51]) ).
fof(f2396,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,n3))
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2395,f19]) ).
fof(f2395,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(n4)))
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2394,f50]) ).
fof(f2394,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(sum(n2,n2))))
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2386,f283]) ).
fof(f2386,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f149,f227]) ).
fof(f2385,plain,
( ~ spl3_4
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f2384]) ).
fof(f2384,plain,
( $false
| ~ spl3_4
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f2383,f150]) ).
fof(f2383,plain,
( n0 = sK2
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2382,f87]) ).
fof(f87,plain,
n0 = sum(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2382,plain,
( sum(n5,n6) = sK2
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2381,f21]) ).
fof(f2381,plain,
( sK2 = sum(pred(n6),n6)
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2380,f62]) ).
fof(f2380,plain,
( sK2 = sum(pred(sum(n3,n3)),n6)
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2379,f6]) ).
fof(f2379,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),n6)
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2378,f52]) ).
fof(f2378,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,n4))
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2377,f20]) ).
fof(f2377,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,pred(n5)))
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2376,f61]) ).
fof(f2376,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,pred(sum(n3,n2))))
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2367,f283]) ).
fof(f2367,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f149,f231]) ).
fof(f2365,plain,
( ~ spl3_6
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f2364]) ).
fof(f2364,plain,
( $false
| ~ spl3_6
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f2363,f154]) ).
fof(f2363,plain,
( n4 = sK2
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2362,f111]) ).
fof(f111,plain,
n4 = sum(n7,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2362,plain,
( sum(n7,n8) = sK2
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2361,f23]) ).
fof(f2361,plain,
( sK2 = sum(pred(n8),n8)
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2360,f84]) ).
fof(f84,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2360,plain,
( sK2 = sum(pred(sum(n5,n3)),n8)
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2359,f6]) ).
fof(f2359,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),n8)
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2358,f54]) ).
fof(f2358,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,n6))
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2357,f22]) ).
fof(f2357,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(n7)))
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2356,f83]) ).
fof(f83,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2356,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(sum(n5,n2))))
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2348,f239]) ).
fof(f239,plain,
( n5 = sK0
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl3_6
<=> n5 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f2348,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_14 ),
inference(superposition,[],[f149,f283]) ).
fof(f2347,plain,
( ~ spl3_6
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2346]) ).
fof(f2346,plain,
( $false
| ~ spl3_6
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f2345,f151]) ).
fof(f2345,plain,
( n1 = sK2
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2344,f98]) ).
fof(f98,plain,
n1 = sum(n6,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2344,plain,
( sum(n6,n6) = sK2
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2343,f22]) ).
fof(f2343,plain,
( sK2 = sum(pred(n7),n6)
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2342,f83]) ).
fof(f2342,plain,
( sK2 = sum(pred(sum(n5,n2)),n6)
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2341,f5]) ).
fof(f2341,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),n6)
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2340,f42]) ).
fof(f42,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2340,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,n5))
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2339,f21]) ).
fof(f2339,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,pred(n6)))
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2338,f82]) ).
fof(f82,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2338,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,pred(sum(n5,n1))))
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2330,f239]) ).
fof(f2330,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_13 ),
inference(superposition,[],[f149,f279]) ).
fof(f2329,plain,
( ~ spl3_6
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2328]) ).
fof(f2328,plain,
( $false
| ~ spl3_6
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2327,f150]) ).
fof(f2327,plain,
( n0 = sK2
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2326,f57]) ).
fof(f2326,plain,
( sum(n2,n9) = sK2
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2325,f18]) ).
fof(f2325,plain,
( sK2 = sum(pred(n3),n9)
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2324,f90]) ).
fof(f90,plain,
n3 = sum(n5,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2324,plain,
( sK2 = sum(pred(sum(n5,n9)),n9)
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2323,f12]) ).
fof(f2323,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),n9)
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2322,f115]) ).
fof(f115,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2322,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,n1))
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2321,f17]) ).
fof(f2321,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,pred(n2)))
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2320,f89]) ).
fof(f89,plain,
n2 = sum(n5,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2320,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,pred(sum(n5,n8))))
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2311,f239]) ).
fof(f2311,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_20 ),
inference(superposition,[],[f149,f307]) ).
fof(f2310,plain,
( ~ spl3_6
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2309]) ).
fof(f2309,plain,
( $false
| ~ spl3_6
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2308,f155]) ).
fof(f2308,plain,
( n5 = sK2
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2307,f31]) ).
fof(f2307,plain,
( sum(n0,n5) = sK2
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2306,f16]) ).
fof(f2306,plain,
( sK2 = sum(pred(n1),n5)
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2305,f88]) ).
fof(f88,plain,
n1 = sum(n5,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2305,plain,
( sK2 = sum(pred(sum(n5,n7)),n5)
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2304,f10]) ).
fof(f2304,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),n5)
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2303,f102]) ).
fof(f102,plain,
n5 = sum(n6,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2303,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,n10))
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2302,f15]) ).
fof(f2302,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,pred(n0)))
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2301,f87]) ).
fof(f2301,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,pred(sum(n5,n6))))
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2293,f239]) ).
fof(f2293,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_18 ),
inference(superposition,[],[f149,f299]) ).
fof(f2292,plain,
( ~ spl3_6
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2291]) ).
fof(f2291,plain,
( $false
| ~ spl3_6
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f2290,f160]) ).
fof(f2290,plain,
( n10 = sK2
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2289,f126]) ).
fof(f126,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2289,plain,
( sum(n9,n1) = sK2
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2288,f25]) ).
fof(f2288,plain,
( sK2 = sum(pred(n10),n1)
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2287,f86]) ).
fof(f2287,plain,
( sK2 = sum(pred(sum(n5,n5)),n1)
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2286,f8]) ).
fof(f2286,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),n1)
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2285,f78]) ).
fof(f2285,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,n8))
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2284,f24]) ).
fof(f2284,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,pred(n9)))
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2283,f85]) ).
fof(f85,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2283,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,pred(sum(n5,n4))))
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2276,f239]) ).
fof(f2276,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_16 ),
inference(superposition,[],[f149,f291]) ).
fof(f2274,plain,
( ~ spl3_6
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f2273]) ).
fof(f2273,plain,
( $false
| ~ spl3_6
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f2272,f159]) ).
fof(f2272,plain,
( n9 = sK2
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2271,f85]) ).
fof(f2271,plain,
( sum(n5,n4) = sK2
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2270,f21]) ).
fof(f2270,plain,
( sK2 = sum(pred(n6),n4)
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2269,f82]) ).
fof(f2269,plain,
( sK2 = sum(pred(sum(n5,n1)),n4)
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2268,f4]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f3]) ).
fof(f2268,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),n4)
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2267,f30]) ).
fof(f2267,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,n4))
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2266,f20]) ).
fof(f2266,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(n5)))
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2265,f81]) ).
fof(f81,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2265,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(sum(n5,n0))))
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2255,f275]) ).
fof(f275,plain,
( n0 = sK1
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl3_12
<=> n0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f2255,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f149,f239]) ).
fof(f2254,plain,
( ~ spl3_3
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f2253]) ).
fof(f2253,plain,
( $false
| ~ spl3_3
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f2252,f153]) ).
fof(f2252,plain,
( n3 = sK2
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2251,f49]) ).
fof(f2251,plain,
( sum(n2,n1) = sK2
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2250,f18]) ).
fof(f2250,plain,
( sK2 = sum(pred(n3),n1)
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2249,f49]) ).
fof(f2249,plain,
( sK2 = sum(pred(sum(n2,n1)),n1)
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2248,f4]) ).
fof(f2248,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),n1)
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2247,f27]) ).
fof(f2247,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,n1))
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2246,f17]) ).
fof(f2246,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,pred(n2)))
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2245,f48]) ).
fof(f48,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2245,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,pred(sum(n2,n0))))
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2237,f275]) ).
fof(f2237,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f149,f227]) ).
fof(f2236,plain,
( ~ spl3_1
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f2235]) ).
fof(f2235,plain,
( $false
| ~ spl3_1
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f2234,f160]) ).
fof(f2234,plain,
( n10 = sK2
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2233,f36]) ).
fof(f36,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2233,plain,
( sum(n0,n10) = sK2
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2232,f16]) ).
fof(f2232,plain,
( sK2 = sum(pred(n1),n10)
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2231,f27]) ).
fof(f2231,plain,
( sK2 = sum(pred(sum(n0,n1)),n10)
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2230,f4]) ).
fof(f2230,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),n10)
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2229,f36]) ).
fof(f2229,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,n10))
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2228,f15]) ).
fof(f2228,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(n0)))
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2227,f26]) ).
fof(f26,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2227,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(sum(n0,n0))))
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2219,f275]) ).
fof(f2219,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f149,f219]) ).
fof(f2218,plain,
( ~ spl3_4
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f2217]) ).
fof(f2217,plain,
( $false
| ~ spl3_4
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f2216,f155]) ).
fof(f2216,plain,
( n5 = sK2
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2215,f61]) ).
fof(f2215,plain,
( sum(n3,n2) = sK2
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2214,f19]) ).
fof(f2214,plain,
( sK2 = sum(pred(n4),n2)
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2213,f60]) ).
fof(f2213,plain,
( sK2 = sum(pred(sum(n3,n1)),n2)
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2212,f4]) ).
fof(f2212,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),n2)
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2211,f28]) ).
fof(f2211,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,n2))
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2210,f18]) ).
fof(f2210,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,pred(n3)))
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2209,f59]) ).
fof(f59,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2209,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,pred(sum(n3,n0))))
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2200,f275]) ).
fof(f2200,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f149,f231]) ).
fof(f2198,plain,
( ~ spl3_5
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f2197]) ).
fof(f2197,plain,
( $false
| ~ spl3_5
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f2196,f157]) ).
fof(f2196,plain,
( n7 = sK2
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2195,f73]) ).
fof(f2195,plain,
( sum(n4,n3) = sK2
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2194,f20]) ).
fof(f2194,plain,
( sK2 = sum(pred(n5),n3)
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2193,f71]) ).
fof(f2193,plain,
( sK2 = sum(pred(sum(n4,n1)),n3)
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2192,f4]) ).
fof(f2192,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),n3)
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2191,f29]) ).
fof(f2191,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,n3))
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2190,f19]) ).
fof(f2190,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(n4)))
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2189,f70]) ).
fof(f70,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2189,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(sum(n4,n0))))
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2183,f235]) ).
fof(f2183,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_12 ),
inference(superposition,[],[f149,f275]) ).
fof(f2171,plain,
( ~ spl3_11
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2170]) ).
fof(f2170,plain,
( $false
| ~ spl3_11
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f2169,f150]) ).
fof(f2169,plain,
( n0 = sK2
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2168,f26]) ).
fof(f2168,plain,
( sum(n0,n0) = sK2
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2167,f16]) ).
fof(f2167,plain,
( sK2 = sum(pred(n1),n0)
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2166,f138]) ).
fof(f138,plain,
n1 = sum(n10,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2166,plain,
( sK2 = sum(pred(sum(n10,n2)),n0)
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2165,f5]) ).
fof(f2165,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),n0)
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2164,f47]) ).
fof(f47,plain,
n0 = sum(n1,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2164,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,n10))
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2163,f15]) ).
fof(f2163,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,pred(n0)))
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2162,f137]) ).
fof(f137,plain,
n0 = sum(n10,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2162,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,pred(sum(n10,n1))))
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2155,f259]) ).
fof(f259,plain,
( n10 = sK0
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl3_11
<=> n10 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f2155,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_13 ),
inference(superposition,[],[f149,f279]) ).
fof(f2154,plain,
( ~ spl3_11
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f2153]) ).
fof(f2153,plain,
( $false
| ~ spl3_11
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f2152,f158]) ).
fof(f2152,plain,
( n8 = sK2
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2151,f145]) ).
fof(f145,plain,
n8 = sum(n10,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2151,plain,
( sum(n10,n9) = sK2
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2150,f15]) ).
fof(f2150,plain,
( sK2 = sum(pred(n0),n9)
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2149,f137]) ).
fof(f2149,plain,
( sK2 = sum(pred(sum(n10,n1)),n9)
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2148,f4]) ).
fof(f2148,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),n9)
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2147,f35]) ).
fof(f2147,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,n9))
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2146,f25]) ).
fof(f2146,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,pred(n10)))
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2145,f136]) ).
fof(f136,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2145,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,pred(sum(n10,n0))))
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f2138,f259]) ).
fof(f2138,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_12 ),
inference(superposition,[],[f149,f275]) ).
fof(f2137,plain,
( ~ spl3_11
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2136]) ).
fof(f2136,plain,
( $false
| ~ spl3_11
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2135,f154]) ).
fof(f2135,plain,
( n4 = sK2
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2134,f91]) ).
fof(f91,plain,
n4 = sum(n5,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2134,plain,
( sum(n5,n10) = sK2
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2133,f21]) ).
fof(f2133,plain,
( sK2 = sum(pred(n6),n10)
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2132,f143]) ).
fof(f143,plain,
n6 = sum(n10,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2132,plain,
( sK2 = sum(pred(sum(n10,n7)),n10)
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2131,f10]) ).
fof(f2131,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),n10)
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2130,f96]) ).
fof(f96,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2130,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,n4))
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2129,f20]) ).
fof(f2129,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,pred(n5)))
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2128,f142]) ).
fof(f2128,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,pred(sum(n10,n6))))
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2120,f259]) ).
fof(f2120,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_18 ),
inference(superposition,[],[f149,f299]) ).
fof(f2119,plain,
( ~ spl3_11
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2118]) ).
fof(f2118,plain,
( $false
| ~ spl3_11
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2117,f160]) ).
fof(f2117,plain,
( n10 = sK2
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2116,f106]) ).
fof(f106,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2116,plain,
( sum(n7,n3) = sK2
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2115,f23]) ).
fof(f2115,plain,
( sK2 = sum(pred(n8),n3)
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2114,f145]) ).
fof(f2114,plain,
( sK2 = sum(pred(sum(n10,n9)),n3)
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2113,f12]) ).
fof(f2113,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),n3)
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2112,f120]) ).
fof(f120,plain,
n3 = sum(n8,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2112,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,n6))
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2111,f22]) ).
fof(f2111,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,pred(n7)))
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2110,f144]) ).
fof(f144,plain,
n7 = sum(n10,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2110,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,pred(sum(n10,n8))))
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2101,f259]) ).
fof(f2101,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_20 ),
inference(superposition,[],[f149,f307]) ).
fof(f2100,plain,
( ~ spl3_11
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f2099]) ).
fof(f2099,plain,
( $false
| ~ spl3_11
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f2098,f153]) ).
fof(f2098,plain,
( n3 = sK2
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2097,f39]) ).
fof(f2097,plain,
( sum(n1,n2) = sK2
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2096,f17]) ).
fof(f2096,plain,
( sK2 = sum(pred(n2),n2)
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2095,f139]) ).
fof(f139,plain,
n2 = sum(n10,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2095,plain,
( sK2 = sum(pred(sum(n10,n3)),n2)
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2094,f6]) ).
fof(f2094,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),n2)
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2093,f48]) ).
fof(f2093,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,n0))
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2092,f16]) ).
fof(f2092,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(n1)))
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2091,f138]) ).
fof(f2091,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(sum(n10,n2))))
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2083,f259]) ).
fof(f2083,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_14 ),
inference(superposition,[],[f149,f283]) ).
fof(f2082,plain,
( ~ spl3_11
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2081]) ).
fof(f2081,plain,
( $false
| ~ spl3_11
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f2080,f159]) ).
fof(f2080,plain,
( n9 = sK2
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2079,f65]) ).
fof(f2079,plain,
( sum(n3,n6) = sK2
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2078,f19]) ).
fof(f2078,plain,
( sK2 = sum(pred(n4),n6)
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2077,f141]) ).
fof(f141,plain,
n4 = sum(n10,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2077,plain,
( sK2 = sum(pred(sum(n10,n5)),n6)
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2076,f8]) ).
fof(f2076,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),n6)
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2075,f72]) ).
fof(f2075,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,n2))
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2074,f18]) ).
fof(f2074,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,pred(n3)))
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2073,f140]) ).
fof(f2073,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,pred(sum(n10,n4))))
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2064,f259]) ).
fof(f2064,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_16 ),
inference(superposition,[],[f149,f291]) ).
fof(f2063,plain,
( ~ spl3_11
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2062]) ).
fof(f2062,plain,
( $false
| ~ spl3_11
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2061,f152]) ).
fof(f2061,plain,
( n2 = sK2
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2060,f119]) ).
fof(f119,plain,
n2 = sum(n8,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2060,plain,
( sum(n8,n5) = sK2
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2059,f24]) ).
fof(f2059,plain,
( sK2 = sum(pred(n9),n5)
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2058,f146]) ).
fof(f146,plain,
n9 = sum(n10,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2058,plain,
( sK2 = sum(pred(sum(n10,n10)),n5)
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2057,f13]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f3]) ).
fof(f2057,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),n5)
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2056,f132]) ).
fof(f132,plain,
n5 = sum(n9,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2056,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,n7))
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2055,f23]) ).
fof(f2055,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,pred(n8)))
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2054,f145]) ).
fof(f2054,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,pred(sum(n10,n9))))
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2043,f311]) ).
fof(f311,plain,
( n9 = sK1
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl3_21
<=> n9 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f2043,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f149,f259]) ).
fof(f2042,plain,
( ~ spl3_5
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2041]) ).
fof(f2041,plain,
( $false
| ~ spl3_5
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2040,f151]) ).
fof(f2040,plain,
( n1 = sK2
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2039,f58]) ).
fof(f58,plain,
n1 = sum(n2,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2039,plain,
( sum(n2,n10) = sK2
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2038,f18]) ).
fof(f2038,plain,
( sK2 = sum(pred(n3),n10)
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2037,f80]) ).
fof(f80,plain,
n3 = sum(n4,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2037,plain,
( sK2 = sum(pred(sum(n4,n10)),n10)
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2036,f13]) ).
fof(f2036,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),n10)
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2035,f126]) ).
fof(f2035,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,n1))
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2034,f17]) ).
fof(f2034,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,pred(n2)))
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2033,f79]) ).
fof(f2033,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,pred(sum(n4,n9))))
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2025,f311]) ).
fof(f2025,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f149,f235]) ).
fof(f2024,plain,
( ~ spl3_3
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2023]) ).
fof(f2023,plain,
( $false
| ~ spl3_3
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2022,f158]) ).
fof(f2022,plain,
( n8 = sK2
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2021,f34]) ).
fof(f2021,plain,
( sum(n0,n8) = sK2
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2020,f16]) ).
fof(f2020,plain,
( sK2 = sum(pred(n1),n8)
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2019,f58]) ).
fof(f2019,plain,
( sK2 = sum(pred(sum(n2,n10)),n8)
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2018,f13]) ).
fof(f2018,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),n8)
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2017,f135]) ).
fof(f135,plain,
n8 = sum(n9,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2017,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,n10))
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2016,f15]) ).
fof(f2016,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(n0)))
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2015,f57]) ).
fof(f2015,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(sum(n2,n9))))
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2008,f311]) ).
fof(f2008,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f149,f227]) ).
fof(f2007,plain,
( ~ spl3_1
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2006]) ).
fof(f2006,plain,
( $false
| ~ spl3_1
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2005,f154]) ).
fof(f2005,plain,
( n4 = sK2
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2004,f131]) ).
fof(f131,plain,
n4 = sum(n9,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2004,plain,
( sum(n9,n6) = sK2
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2003,f25]) ).
fof(f2003,plain,
( sK2 = sum(pred(n10),n6)
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2002,f36]) ).
fof(f2002,plain,
( sK2 = sum(pred(sum(n0,n10)),n6)
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2001,f13]) ).
fof(f2001,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),n6)
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2000,f133]) ).
fof(f133,plain,
n6 = sum(n9,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2000,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,n8))
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1999,f24]) ).
fof(f1999,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(n9)))
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1998,f35]) ).
fof(f1998,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(sum(n0,n9))))
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1991,f311]) ).
fof(f1991,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f149,f219]) ).
fof(f1990,plain,
( ~ spl3_4
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f1989,plain,
( $false
| ~ spl3_4
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1988,f160]) ).
fof(f1988,plain,
( n10 = sK2
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1987,f46]) ).
fof(f46,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1987,plain,
( sum(n1,n9) = sK2
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1986,f17]) ).
fof(f1986,plain,
( sK2 = sum(pred(n2),n9)
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1985,f69]) ).
fof(f69,plain,
n2 = sum(n3,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1985,plain,
( sK2 = sum(pred(sum(n3,n10)),n9)
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1984,f13]) ).
fof(f1984,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),n9)
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1983,f125]) ).
fof(f125,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1983,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,n0))
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1982,f16]) ).
fof(f1982,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,pred(n1)))
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1981,f68]) ).
fof(f1981,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,pred(sum(n3,n9))))
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1973,f311]) ).
fof(f1973,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f149,f231]) ).
fof(f1971,plain,
( ~ spl3_6
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1970]) ).
fof(f1970,plain,
( $false
| ~ spl3_6
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1969,f153]) ).
fof(f1969,plain,
( n3 = sK2
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1968,f59]) ).
fof(f1968,plain,
( sum(n3,n0) = sK2
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1967,f19]) ).
fof(f1967,plain,
( sK2 = sum(pred(n4),n0)
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1966,f91]) ).
fof(f1966,plain,
( sK2 = sum(pred(sum(n5,n10)),n0)
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1965,f13]) ).
fof(f1965,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),n0)
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1964,f127]) ).
fof(f127,plain,
n0 = sum(n9,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1964,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,n2))
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1963,f18]) ).
fof(f1963,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(n3)))
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1962,f90]) ).
fof(f1962,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(sum(n5,n9))))
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1952,f239]) ).
fof(f1952,plain,
( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
| ~ spl3_21 ),
inference(superposition,[],[f149,f311]) ).
fof(f1940,plain,
( ~ spl3_10
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1939]) ).
fof(f1939,plain,
( $false
| ~ spl3_10
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f1938,f158]) ).
fof(f1938,plain,
( n8 = sK2
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1937,f94]) ).
fof(f94,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1937,plain,
( sum(n6,n2) = sK2
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1936,f22]) ).
fof(f1936,plain,
( sK2 = sum(pred(n7),n2)
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1935,f134]) ).
fof(f134,plain,
n7 = sum(n9,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1935,plain,
( sK2 = sum(pred(sum(n9,n9)),n2)
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1934,f12]) ).
fof(f1934,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),n2)
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1933,f119]) ).
fof(f1933,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,n5))
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1932,f21]) ).
fof(f1932,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,pred(n6)))
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1931,f133]) ).
fof(f1931,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,pred(sum(n9,n8))))
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1922,f255]) ).
fof(f255,plain,
( n9 = sK0
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl3_10
<=> n9 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f1922,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_20 ),
inference(superposition,[],[f149,f307]) ).
fof(f1921,plain,
( ~ spl3_10
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1920]) ).
fof(f1920,plain,
( $false
| ~ spl3_10
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f1919,f151]) ).
fof(f1919,plain,
( n1 = sK2
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1918,f27]) ).
fof(f1918,plain,
( sum(n0,n1) = sK2
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1917,f16]) ).
fof(f1917,plain,
( sK2 = sum(pred(n1),n1)
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1916,f128]) ).
fof(f1916,plain,
( sK2 = sum(pred(sum(n9,n3)),n1)
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1915,f6]) ).
fof(f1915,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),n1)
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1914,f58]) ).
fof(f1914,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,n10))
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1913,f15]) ).
fof(f1913,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(n0)))
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1912,f127]) ).
fof(f1912,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(sum(n9,n2))))
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1903,f255]) ).
fof(f1903,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_14 ),
inference(superposition,[],[f149,f283]) ).
fof(f1902,plain,
( ~ spl3_10
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1901]) ).
fof(f1901,plain,
( $false
| ~ spl3_10
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1900,f150]) ).
fof(f1900,plain,
( n0 = sK2
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1899,f107]) ).
fof(f107,plain,
n0 = sum(n7,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1899,plain,
( sum(n7,n4) = sK2
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1898,f23]) ).
fof(f1898,plain,
( sK2 = sum(pred(n8),n4)
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1897,f135]) ).
fof(f1897,plain,
( sK2 = sum(pred(sum(n9,n10)),n4)
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1896,f13]) ).
fof(f1896,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),n4)
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1895,f131]) ).
fof(f1895,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,n6))
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1894,f22]) ).
fof(f1894,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,pred(n7)))
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1893,f134]) ).
fof(f1893,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,pred(sum(n9,n9))))
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1883,f255]) ).
fof(f1883,plain,
( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
| ~ spl3_21 ),
inference(superposition,[],[f149,f311]) ).
fof(f1882,plain,
( ~ spl3_10
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1881]) ).
fof(f1881,plain,
( $false
| ~ spl3_10
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1880,f156]) ).
fof(f1880,plain,
( n6 = sK2
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1879,f133]) ).
fof(f1879,plain,
( sum(n9,n8) = sK2
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1878,f25]) ).
fof(f1878,plain,
( sK2 = sum(pred(n10),n8)
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1877,f126]) ).
fof(f1877,plain,
( sK2 = sum(pred(sum(n9,n1)),n8)
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1876,f4]) ).
fof(f1876,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),n8)
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1875,f34]) ).
fof(f1875,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,n8))
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1874,f24]) ).
fof(f1874,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(n9)))
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1873,f125]) ).
fof(f1873,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(sum(n9,n0))))
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1866,f255]) ).
fof(f1866,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_12 ),
inference(superposition,[],[f149,f275]) ).
fof(f1865,plain,
( ~ spl3_10
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1864]) ).
fof(f1864,plain,
( $false
| ~ spl3_10
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f1863,f152]) ).
fof(f1863,plain,
( n2 = sK2
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1862,f79]) ).
fof(f1862,plain,
( sum(n4,n9) = sK2
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1861,f20]) ).
fof(f1861,plain,
( sK2 = sum(pred(n5),n9)
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1860,f132]) ).
fof(f1860,plain,
( sK2 = sum(pred(sum(n9,n7)),n9)
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1859,f10]) ).
fof(f1859,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),n9)
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1858,f95]) ).
fof(f95,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1858,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,n3))
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1857,f19]) ).
fof(f1857,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(n4)))
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1856,f131]) ).
fof(f1856,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(sum(n9,n6))))
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1848,f255]) ).
fof(f1848,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_18 ),
inference(superposition,[],[f149,f299]) ).
fof(f1847,plain,
( ~ spl3_10
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f1846]) ).
fof(f1846,plain,
( $false
| ~ spl3_10
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f1845,f159]) ).
fof(f1845,plain,
( n9 = sK2
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1844,f146]) ).
fof(f1844,plain,
( sum(n10,n10) = sK2
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1843,f15]) ).
fof(f1843,plain,
( sK2 = sum(pred(n0),n10)
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1842,f127]) ).
fof(f1842,plain,
( sK2 = sum(pred(sum(n9,n2)),n10)
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1841,f5]) ).
fof(f1841,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),n10)
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1840,f46]) ).
fof(f1840,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,n9))
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1839,f25]) ).
fof(f1839,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,pred(n10)))
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1838,f126]) ).
fof(f1838,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,pred(sum(n9,n1))))
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1831,f255]) ).
fof(f1831,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_13 ),
inference(superposition,[],[f149,f279]) ).
fof(f1830,plain,
( ~ spl3_10
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1829]) ).
fof(f1829,plain,
( $false
| ~ spl3_10
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f1828,f157]) ).
fof(f1828,plain,
( n7 = sK2
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1827,f53]) ).
fof(f1827,plain,
( sum(n2,n5) = sK2
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1826,f18]) ).
fof(f1826,plain,
( sK2 = sum(pred(n3),n5)
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1825,f130]) ).
fof(f130,plain,
n3 = sum(n9,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1825,plain,
( sK2 = sum(pred(sum(n9,n5)),n5)
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1824,f8]) ).
fof(f1824,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),n5)
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1823,f71]) ).
fof(f1823,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,n1))
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1822,f17]) ).
fof(f1822,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(n2)))
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1821,f129]) ).
fof(f129,plain,
n2 = sum(n9,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1821,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(sum(n9,n4))))
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1813,f255]) ).
fof(f1813,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_16 ),
inference(superposition,[],[f149,f291]) ).
fof(f1801,plain,
( ~ spl3_6
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1800]) ).
fof(f1800,plain,
( $false
| ~ spl3_6
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1799,f158]) ).
fof(f1799,plain,
( n8 = sK2
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1798,f44]) ).
fof(f44,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1798,plain,
( sum(n1,n7) = sK2
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1797,f17]) ).
fof(f1797,plain,
( sK2 = sum(pred(n2),n7)
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1796,f89]) ).
fof(f1796,plain,
( sK2 = sum(pred(sum(n5,n8)),n7)
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1795,f11]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f3]) ).
fof(f1795,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),n7)
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1794,f103]) ).
fof(f103,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1794,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,n0))
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1793,f16]) ).
fof(f1793,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,pred(n1)))
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1792,f88]) ).
fof(f1792,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,pred(sum(n5,n7))))
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1782,f303]) ).
fof(f303,plain,
( n7 = sK1
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl3_19
<=> n7 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f1782,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f149,f239]) ).
fof(f1781,plain,
( ~ spl3_5
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1780]) ).
fof(f1780,plain,
( $false
| ~ spl3_5
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1779,f156]) ).
fof(f1779,plain,
( n6 = sK2
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1778,f32]) ).
fof(f1778,plain,
( sum(n0,n6) = sK2
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1777,f16]) ).
fof(f1777,plain,
( sK2 = sum(pred(n1),n6)
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1776,f78]) ).
fof(f1776,plain,
( sK2 = sum(pred(sum(n4,n8)),n6)
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1775,f11]) ).
fof(f1775,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),n6)
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1774,f113]) ).
fof(f1774,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,n10))
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1773,f15]) ).
fof(f1773,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,pred(n0)))
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1772,f77]) ).
fof(f1772,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,pred(sum(n4,n7))))
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1762,f303]) ).
fof(f1762,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f149,f235]) ).
fof(f1761,plain,
( ~ spl3_11
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1760]) ).
fof(f1760,plain,
( $false
| ~ spl3_11
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1759,f157]) ).
fof(f1759,plain,
( n7 = sK2
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1758,f93]) ).
fof(f93,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1758,plain,
( sum(n6,n1) = sK2
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1757,f22]) ).
fof(f1757,plain,
( sK2 = sum(pred(n7),n1)
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1756,f144]) ).
fof(f1756,plain,
( sK2 = sum(pred(sum(n10,n8)),n1)
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1755,f11]) ).
fof(f1755,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),n1)
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1754,f108]) ).
fof(f108,plain,
n1 = sum(n7,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1754,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,n5))
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1753,f21]) ).
fof(f1753,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,pred(n6)))
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1752,f143]) ).
fof(f1752,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,pred(sum(n10,n7))))
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1741,f303]) ).
fof(f1741,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f149,f259]) ).
fof(f1740,plain,
( ~ spl3_4
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1739]) ).
fof(f1739,plain,
( $false
| ~ spl3_4
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1738,f154]) ).
fof(f1738,plain,
( n4 = sK2
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1737,f141]) ).
fof(f1737,plain,
( sum(n10,n5) = sK2
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1736,f15]) ).
fof(f1736,plain,
( sK2 = sum(pred(n0),n5)
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1735,f67]) ).
fof(f1735,plain,
( sK2 = sum(pred(sum(n3,n8)),n5)
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1734,f11]) ).
fof(f1734,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),n5)
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1733,f112]) ).
fof(f112,plain,
n5 = sum(n7,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1733,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,n9))
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1732,f25]) ).
fof(f1732,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,pred(n10)))
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1731,f66]) ).
fof(f1731,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,pred(sum(n3,n7))))
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1722,f303]) ).
fof(f1722,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f149,f231]) ).
fof(f1721,plain,
( ~ spl3_10
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1720]) ).
fof(f1720,plain,
( $false
| ~ spl3_10
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1719,f155]) ).
fof(f1719,plain,
( n5 = sK2
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1718,f81]) ).
fof(f1718,plain,
( sum(n5,n0) = sK2
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1717,f21]) ).
fof(f1717,plain,
( sK2 = sum(pred(n6),n0)
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1716,f133]) ).
fof(f1716,plain,
( sK2 = sum(pred(sum(n9,n8)),n0)
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1715,f11]) ).
fof(f1715,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),n0)
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1714,f107]) ).
fof(f1714,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,n4))
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1713,f20]) ).
fof(f1713,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,pred(n5)))
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1712,f132]) ).
fof(f1712,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,pred(sum(n9,n7))))
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1702,f303]) ).
fof(f1702,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f149,f255]) ).
fof(f1701,plain,
( ~ spl3_1
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1700]) ).
fof(f1700,plain,
( $false
| ~ spl3_1
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1699,f159]) ).
fof(f1699,plain,
( n9 = sK2
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1698,f105]) ).
fof(f105,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1698,plain,
( sum(n7,n2) = sK2
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1697,f23]) ).
fof(f1697,plain,
( sK2 = sum(pred(n8),n2)
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1696,f34]) ).
fof(f1696,plain,
( sK2 = sum(pred(sum(n0,n8)),n2)
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1695,f11]) ).
fof(f1695,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),n2)
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1694,f109]) ).
fof(f109,plain,
n2 = sum(n7,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1694,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,n6))
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1693,f22]) ).
fof(f1693,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,pred(n7)))
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1692,f33]) ).
fof(f1692,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,pred(sum(n0,n7))))
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1685,f303]) ).
fof(f1685,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f149,f219]) ).
fof(f1683,plain,
( ~ spl3_3
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1682]) ).
fof(f1682,plain,
( $false
| ~ spl3_3
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1681,f152]) ).
fof(f1681,plain,
( n2 = sK2
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1680,f129]) ).
fof(f1680,plain,
( sum(n9,n4) = sK2
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1679,f25]) ).
fof(f1679,plain,
( sK2 = sum(pred(n10),n4)
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1678,f56]) ).
fof(f1678,plain,
( sK2 = sum(pred(sum(n2,n8)),n4)
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1677,f11]) ).
fof(f1677,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),n4)
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1676,f111]) ).
fof(f1676,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,n8))
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1675,f24]) ).
fof(f1675,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,pred(n9)))
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1674,f55]) ).
fof(f1674,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,pred(sum(n2,n7))))
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1665,f227]) ).
fof(f1665,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_19 ),
inference(superposition,[],[f149,f303]) ).
fof(f1653,plain,
( ~ spl3_9
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1652]) ).
fof(f1652,plain,
( $false
| ~ spl3_9
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1651,f154]) ).
fof(f1651,plain,
( n4 = sK2
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1650,f121]) ).
fof(f1650,plain,
( sum(n8,n7) = sK2
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1649,f24]) ).
fof(f1649,plain,
( sK2 = sum(pred(n9),n7)
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1648,f115]) ).
fof(f1648,plain,
( sK2 = sum(pred(sum(n8,n1)),n7)
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1647,f4]) ).
fof(f1647,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),n7)
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1646,f33]) ).
fof(f1646,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,n7))
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1645,f23]) ).
fof(f1645,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,pred(n8)))
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1644,f114]) ).
fof(f1644,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,pred(sum(n8,n0))))
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1636,f251]) ).
fof(f251,plain,
( n8 = sK0
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl3_9
<=> n8 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f1636,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_12 ),
inference(superposition,[],[f149,f275]) ).
fof(f1635,plain,
( ~ spl3_9
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1634,plain,
( $false
| ~ spl3_9
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f1633,f150]) ).
fof(f1633,plain,
( n0 = sK2
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1632,f67]) ).
fof(f1632,plain,
( sum(n3,n8) = sK2
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1631,f19]) ).
fof(f1631,plain,
( sK2 = sum(pred(n4),n8)
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1630,f121]) ).
fof(f1630,plain,
( sK2 = sum(pred(sum(n8,n7)),n8)
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1629,f10]) ).
fof(f1629,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),n8)
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1628,f94]) ).
fof(f1628,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,n2))
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1627,f18]) ).
fof(f1627,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,pred(n3)))
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1626,f120]) ).
fof(f1626,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,pred(sum(n8,n6))))
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1617,f251]) ).
fof(f1617,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_18 ),
inference(superposition,[],[f149,f299]) ).
fof(f1616,plain,
( ~ spl3_9
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f1615]) ).
fof(f1615,plain,
( $false
| ~ spl3_9
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f1614,f157]) ).
fof(f1614,plain,
( n7 = sK2
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1613,f134]) ).
fof(f1613,plain,
( sum(n9,n9) = sK2
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1612,f25]) ).
fof(f1612,plain,
( sK2 = sum(pred(n10),n9)
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1611,f116]) ).
fof(f1611,plain,
( sK2 = sum(pred(sum(n8,n2)),n9)
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1610,f5]) ).
fof(f1610,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),n9)
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1609,f45]) ).
fof(f1609,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,n8))
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1608,f24]) ).
fof(f1608,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,pred(n9)))
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1607,f115]) ).
fof(f1607,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,pred(sum(n8,n1))))
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1598,f251]) ).
fof(f1598,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_13 ),
inference(superposition,[],[f149,f279]) ).
fof(f1597,plain,
( ~ spl3_9
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1596]) ).
fof(f1596,plain,
( $false
| ~ spl3_9
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1595,f159]) ).
fof(f1595,plain,
( n9 = sK2
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1594,f95]) ).
fof(f1594,plain,
( sum(n6,n3) = sK2
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1593,f22]) ).
fof(f1593,plain,
( sK2 = sum(pred(n7),n3)
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1592,f124]) ).
fof(f1592,plain,
( sK2 = sum(pred(sum(n8,n10)),n3)
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1591,f13]) ).
fof(f1591,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),n3)
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1590,f130]) ).
fof(f1590,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,n5))
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1589,f21]) ).
fof(f1589,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,pred(n6)))
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1588,f123]) ).
fof(f1588,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,pred(sum(n8,n9))))
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1578,f251]) ).
fof(f1578,plain,
( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
| ~ spl3_21 ),
inference(superposition,[],[f149,f311]) ).
fof(f1577,plain,
( ~ spl3_9
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1576]) ).
fof(f1576,plain,
( $false
| ~ spl3_9
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f1575,f160]) ).
fof(f1575,plain,
( n10 = sK2
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1574,f136]) ).
fof(f1574,plain,
( sum(n10,n0) = sK2
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1573,f15]) ).
fof(f1573,plain,
( sK2 = sum(pred(n0),n0)
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1572,f117]) ).
fof(f117,plain,
n0 = sum(n8,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1572,plain,
( sK2 = sum(pred(sum(n8,n3)),n0)
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1571,f6]) ).
fof(f1571,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),n0)
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1570,f57]) ).
fof(f1570,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,n9))
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1569,f25]) ).
fof(f1569,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(n10)))
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1568,f116]) ).
fof(f1568,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(sum(n8,n2))))
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1560,f251]) ).
fof(f1560,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_14 ),
inference(superposition,[],[f149,f283]) ).
fof(f1559,plain,
( ~ spl3_9
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1558]) ).
fof(f1558,plain,
( $false
| ~ spl3_9
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f1557,f156]) ).
fof(f1557,plain,
( n6 = sK2
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1556,f82]) ).
fof(f1556,plain,
( sum(n5,n1) = sK2
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1555,f21]) ).
fof(f1555,plain,
( sK2 = sum(pred(n6),n1)
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1554,f123]) ).
fof(f1554,plain,
( sK2 = sum(pred(sum(n8,n9)),n1)
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1553,f12]) ).
fof(f1553,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),n1)
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1552,f118]) ).
fof(f1552,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,n4))
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1551,f20]) ).
fof(f1551,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(n5)))
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1550,f122]) ).
fof(f122,plain,
n5 = sum(n8,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1550,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(sum(n8,n8))))
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1541,f251]) ).
fof(f1541,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_20 ),
inference(superposition,[],[f149,f307]) ).
fof(f1540,plain,
( ~ spl3_9
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1539,plain,
( $false
| ~ spl3_9
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1538,f153]) ).
fof(f1538,plain,
( n3 = sK2
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1537,f80]) ).
fof(f1537,plain,
( sum(n4,n10) = sK2
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1536,f20]) ).
fof(f1536,plain,
( sK2 = sum(pred(n5),n10)
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1535,f122]) ).
fof(f1535,plain,
( sK2 = sum(pred(sum(n8,n8)),n10)
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1534,f11]) ).
fof(f1534,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),n10)
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1533,f106]) ).
fof(f1533,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,n3))
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1532,f19]) ).
fof(f1532,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(n4)))
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1531,f121]) ).
fof(f1531,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(sum(n8,n7))))
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1523,f251]) ).
fof(f1523,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_19 ),
inference(superposition,[],[f149,f303]) ).
fof(f1522,plain,
( ~ spl3_9
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1521]) ).
fof(f1521,plain,
( $false
| ~ spl3_9
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f1520,f155]) ).
fof(f1520,plain,
( n5 = sK2
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1519,f41]) ).
fof(f1519,plain,
( sum(n1,n4) = sK2
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1518,f17]) ).
fof(f1518,plain,
( sK2 = sum(pred(n2),n4)
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1517,f119]) ).
fof(f1517,plain,
( sK2 = sum(pred(sum(n8,n5)),n4)
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1516,f8]) ).
fof(f1516,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),n4)
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1515,f70]) ).
fof(f1515,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,n0))
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1514,f16]) ).
fof(f1514,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,pred(n1)))
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1513,f118]) ).
fof(f1513,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,pred(sum(n8,n4))))
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1507,f251]) ).
fof(f1507,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_16 ),
inference(superposition,[],[f149,f291]) ).
fof(f1495,plain,
( ~ spl3_10
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1494]) ).
fof(f1494,plain,
( $false
| ~ spl3_10
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1493,f160]) ).
fof(f1493,plain,
( n10 = sK2
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1492,f66]) ).
fof(f1492,plain,
( sum(n3,n7) = sK2
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1491,f19]) ).
fof(f1491,plain,
( sK2 = sum(pred(n4),n7)
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1490,f131]) ).
fof(f1490,plain,
( sK2 = sum(pred(sum(n9,n6)),n7)
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1489,f9]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f3]) ).
fof(f1489,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),n7)
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1488,f83]) ).
fof(f1488,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,n2))
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1487,f18]) ).
fof(f1487,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(n3)))
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1486,f130]) ).
fof(f1486,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(sum(n9,n5))))
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1476,f295]) ).
fof(f295,plain,
( n5 = sK1
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl3_17
<=> n5 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f1476,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f149,f255]) ).
fof(f1475,plain,
( ~ spl3_11
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1474]) ).
fof(f1474,plain,
( $false
| ~ spl3_11
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1473,f151]) ).
fof(f1473,plain,
( n1 = sK2
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1472,f78]) ).
fof(f1472,plain,
( sum(n4,n8) = sK2
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1471,f20]) ).
fof(f1471,plain,
( sK2 = sum(pred(n5),n8)
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1470,f142]) ).
fof(f1470,plain,
( sK2 = sum(pred(sum(n10,n6)),n8)
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1469,f9]) ).
fof(f1469,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),n8)
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1468,f84]) ).
fof(f1468,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,n3))
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1467,f19]) ).
fof(f1467,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(n4)))
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1466,f141]) ).
fof(f1466,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(sum(n10,n5))))
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1455,f295]) ).
fof(f1455,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f149,f259]) ).
fof(f1454,plain,
( ~ spl3_5
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1453]) ).
fof(f1453,plain,
( $false
| ~ spl3_5
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1452,f150]) ).
fof(f1452,plain,
( n0 = sK2
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1451,f127]) ).
fof(f1451,plain,
( sum(n9,n2) = sK2
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1450,f25]) ).
fof(f1450,plain,
( sK2 = sum(pred(n10),n2)
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1449,f76]) ).
fof(f1449,plain,
( sK2 = sum(pred(sum(n4,n6)),n2)
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1448,f9]) ).
fof(f1448,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),n2)
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1447,f89]) ).
fof(f1447,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,n8))
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1446,f24]) ).
fof(f1446,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(n9)))
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1445,f75]) ).
fof(f1445,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(sum(n4,n5))))
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1438,f295]) ).
fof(f1438,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f149,f235]) ).
fof(f1437,plain,
( ~ spl3_4
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1436]) ).
fof(f1436,plain,
( $false
| ~ spl3_4
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1435,f159]) ).
fof(f1435,plain,
( n9 = sK2
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1434,f115]) ).
fof(f1434,plain,
( sum(n8,n1) = sK2
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1433,f24]) ).
fof(f1433,plain,
( sK2 = sum(pred(n9),n1)
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1432,f65]) ).
fof(f1432,plain,
( sK2 = sum(pred(sum(n3,n6)),n1)
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1431,f9]) ).
fof(f1431,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),n1)
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1430,f88]) ).
fof(f1430,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,n7))
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1429,f23]) ).
fof(f1429,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,pred(n8)))
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1428,f64]) ).
fof(f1428,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,pred(sum(n3,n5))))
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1421,f295]) ).
fof(f1421,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f149,f231]) ).
fof(f1420,plain,
( ~ spl3_6
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1419]) ).
fof(f1419,plain,
( $false
| ~ spl3_6
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1418,f152]) ).
fof(f1418,plain,
( n2 = sK2
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1417,f139]) ).
fof(f1417,plain,
( sum(n10,n3) = sK2
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1416,f15]) ).
fof(f1416,plain,
( sK2 = sum(pred(n0),n3)
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1415,f87]) ).
fof(f1415,plain,
( sK2 = sum(pred(sum(n5,n6)),n3)
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1414,f9]) ).
fof(f1414,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),n3)
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1413,f90]) ).
fof(f1413,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,n9))
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1412,f25]) ).
fof(f1412,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,pred(n10)))
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1411,f86]) ).
fof(f1411,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,pred(sum(n5,n5))))
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1403,f295]) ).
fof(f1403,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f149,f239]) ).
fof(f1402,plain,
( ~ spl3_3
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1401,plain,
( $false
| ~ spl3_3
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1400,f157]) ).
fof(f1400,plain,
( n7 = sK2
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1399,f103]) ).
fof(f1399,plain,
( sum(n7,n0) = sK2
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1398,f23]) ).
fof(f1398,plain,
( sK2 = sum(pred(n8),n0)
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1397,f54]) ).
fof(f1397,plain,
( sK2 = sum(pred(sum(n2,n6)),n0)
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1396,f9]) ).
fof(f1396,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),n0)
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1395,f87]) ).
fof(f1395,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,n6))
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1394,f22]) ).
fof(f1394,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(n7)))
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1393,f53]) ).
fof(f1393,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(sum(n2,n5))))
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1385,f295]) ).
fof(f1385,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f149,f227]) ).
fof(f1384,plain,
( ~ spl3_1
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1383]) ).
fof(f1383,plain,
( $false
| ~ spl3_1
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1382,f153]) ).
fof(f1382,plain,
( n3 = sK2
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1381,f90]) ).
fof(f1381,plain,
( sum(n5,n9) = sK2
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1380,f21]) ).
fof(f1380,plain,
( sK2 = sum(pred(n6),n9)
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1379,f32]) ).
fof(f1379,plain,
( sK2 = sum(pred(sum(n0,n6)),n9)
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1378,f9]) ).
fof(f1378,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),n9)
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1377,f85]) ).
fof(f1377,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,n4))
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1376,f20]) ).
fof(f1376,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(n5)))
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1375,f31]) ).
fof(f1375,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(sum(n0,n5))))
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1367,f295]) ).
fof(f1367,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f149,f219]) ).
fof(f1365,plain,
( ~ spl3_9
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1364]) ).
fof(f1364,plain,
( $false
| ~ spl3_9
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1363,f158]) ).
fof(f1363,plain,
( n8 = sK2
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1362,f54]) ).
fof(f1362,plain,
( sum(n2,n6) = sK2
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1361,f18]) ).
fof(f1361,plain,
( sK2 = sum(pred(n3),n6)
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1360,f120]) ).
fof(f1360,plain,
( sK2 = sum(pred(sum(n8,n6)),n6)
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1359,f9]) ).
fof(f1359,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),n6)
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1358,f82]) ).
fof(f1358,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,n1))
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1357,f17]) ).
fof(f1357,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(n2)))
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1356,f119]) ).
fof(f1356,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(sum(n8,n5))))
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1349,f251]) ).
fof(f1349,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_17 ),
inference(superposition,[],[f149,f295]) ).
fof(f1337,plain,
( ~ spl3_8
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1336]) ).
fof(f1336,plain,
( $false
| ~ spl3_8
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1335,f152]) ).
fof(f1335,plain,
( n2 = sK2
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1334,f109]) ).
fof(f1334,plain,
( sum(n7,n6) = sK2
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1333,f23]) ).
fof(f1333,plain,
( sK2 = sum(pred(n8),n6)
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1332,f104]) ).
fof(f104,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1332,plain,
( sK2 = sum(pred(sum(n7,n1)),n6)
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1331,f4]) ).
fof(f1331,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),n6)
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1330,f32]) ).
fof(f1330,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,n6))
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1329,f22]) ).
fof(f1329,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(n7)))
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1328,f103]) ).
fof(f1328,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(sum(n7,n0))))
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1321,f247]) ).
fof(f247,plain,
( n7 = sK0
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl3_8
<=> n7 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f1321,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_12 ),
inference(superposition,[],[f149,f275]) ).
fof(f1320,plain,
( ~ spl3_8
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1319]) ).
fof(f1319,plain,
( $false
| ~ spl3_8
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1318,f151]) ).
fof(f1318,plain,
( n1 = sK2
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1317,f68]) ).
fof(f1317,plain,
( sum(n3,n9) = sK2
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1316,f19]) ).
fof(f1316,plain,
( sK2 = sum(pred(n4),n9)
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1315,f111]) ).
fof(f1315,plain,
( sK2 = sum(pred(sum(n7,n8)),n9)
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1314,f11]) ).
fof(f1314,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),n9)
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1313,f105]) ).
fof(f1313,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,n2))
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1312,f18]) ).
fof(f1312,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,pred(n3)))
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1311,f110]) ).
fof(f110,plain,
n3 = sum(n7,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1311,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,pred(sum(n7,n7))))
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1303,f247]) ).
fof(f1303,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_19 ),
inference(superposition,[],[f149,f303]) ).
fof(f1302,plain,
( ~ spl3_8
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1301]) ).
fof(f1301,plain,
( $false
| ~ spl3_8
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f1300,f158]) ).
fof(f1300,plain,
( n8 = sK2
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1299,f135]) ).
fof(f1299,plain,
( sum(n9,n10) = sK2
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1298,f25]) ).
fof(f1298,plain,
( sK2 = sum(pred(n10),n10)
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1297,f106]) ).
fof(f1297,plain,
( sK2 = sum(pred(sum(n7,n3)),n10)
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1296,f6]) ).
fof(f1296,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),n10)
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1295,f56]) ).
fof(f1295,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,n8))
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1294,f24]) ).
fof(f1294,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(n9)))
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1293,f105]) ).
fof(f1293,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(sum(n7,n2))))
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1286,f247]) ).
fof(f1286,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_14 ),
inference(superposition,[],[f149,f283]) ).
fof(f1285,plain,
( ~ spl3_8
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1284]) ).
fof(f1284,plain,
( $false
| ~ spl3_8
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f1283,f159]) ).
fof(f1283,plain,
( n9 = sK2
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1282,f55]) ).
fof(f1282,plain,
( sum(n2,n7) = sK2
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1281,f18]) ).
fof(f1281,plain,
( sK2 = sum(pred(n3),n7)
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1280,f110]) ).
fof(f1280,plain,
( sK2 = sum(pred(sum(n7,n7)),n7)
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1279,f10]) ).
fof(f1279,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),n7)
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1278,f93]) ).
fof(f1278,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,n1))
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1277,f17]) ).
fof(f1277,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,pred(n2)))
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1276,f109]) ).
fof(f1276,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,pred(sum(n7,n6))))
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1268,f247]) ).
fof(f1268,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_18 ),
inference(superposition,[],[f149,f299]) ).
fof(f1267,plain,
( ~ spl3_8
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1266]) ).
fof(f1266,plain,
( $false
| ~ spl3_8
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f1265,f154]) ).
fof(f1265,plain,
( n4 = sK2
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1264,f70]) ).
fof(f1264,plain,
( sum(n4,n0) = sK2
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1263,f20]) ).
fof(f1263,plain,
( sK2 = sum(pred(n5),n0)
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1262,f112]) ).
fof(f1262,plain,
( sK2 = sum(pred(sum(n7,n9)),n0)
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1261,f12]) ).
fof(f1261,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),n0)
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1260,f117]) ).
fof(f1260,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,n3))
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1259,f19]) ).
fof(f1259,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,pred(n4)))
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1258,f111]) ).
fof(f1258,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,pred(sum(n7,n8))))
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1249,f247]) ).
fof(f1249,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_20 ),
inference(superposition,[],[f149,f307]) ).
fof(f1248,plain,
( ~ spl3_8
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f1247]) ).
fof(f1247,plain,
( $false
| ~ spl3_8
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f1246,f155]) ).
fof(f1246,plain,
( n5 = sK2
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1245,f122]) ).
fof(f1245,plain,
( sum(n8,n8) = sK2
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1244,f24]) ).
fof(f1244,plain,
( sK2 = sum(pred(n9),n8)
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1243,f105]) ).
fof(f1243,plain,
( sK2 = sum(pred(sum(n7,n2)),n8)
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1242,f5]) ).
fof(f1242,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),n8)
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1241,f44]) ).
fof(f1241,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,n7))
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1240,f23]) ).
fof(f1240,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,pred(n8)))
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1239,f104]) ).
fof(f1239,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,pred(sum(n7,n1))))
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1231,f247]) ).
fof(f1231,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_13 ),
inference(superposition,[],[f149,f279]) ).
fof(f1230,plain,
( ~ spl3_8
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1229]) ).
fof(f1229,plain,
( $false
| ~ spl3_8
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1228,f156]) ).
fof(f1228,plain,
( n6 = sK2
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1227,f42]) ).
fof(f1227,plain,
( sum(n1,n5) = sK2
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1226,f17]) ).
fof(f1226,plain,
( sK2 = sum(pred(n2),n5)
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1225,f109]) ).
fof(f1225,plain,
( sK2 = sum(pred(sum(n7,n6)),n5)
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1224,f9]) ).
fof(f1224,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),n5)
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1223,f81]) ).
fof(f1223,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,n0))
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1222,f16]) ).
fof(f1222,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,pred(n1)))
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1221,f108]) ).
fof(f1221,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,pred(sum(n7,n5))))
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1212,f247]) ).
fof(f1212,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_17 ),
inference(superposition,[],[f149,f295]) ).
fof(f1211,plain,
( ~ spl3_8
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1210]) ).
fof(f1210,plain,
( $false
| ~ spl3_8
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1209,f157]) ).
fof(f1209,plain,
( n7 = sK2
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1208,f83]) ).
fof(f1208,plain,
( sum(n5,n2) = sK2
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1207,f21]) ).
fof(f1207,plain,
( sK2 = sum(pred(n6),n2)
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1206,f113]) ).
fof(f1206,plain,
( sK2 = sum(pred(sum(n7,n10)),n2)
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1205,f13]) ).
fof(f1205,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),n2)
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1204,f129]) ).
fof(f1204,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,n4))
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1203,f20]) ).
fof(f1203,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,pred(n5)))
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1202,f112]) ).
fof(f1202,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,pred(sum(n7,n9))))
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1192,f247]) ).
fof(f1192,plain,
( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
| ~ spl3_21 ),
inference(superposition,[],[f149,f311]) ).
fof(f1191,plain,
( ~ spl3_8
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1190]) ).
fof(f1190,plain,
( $false
| ~ spl3_8
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f1189,f153]) ).
fof(f1189,plain,
( n3 = sK2
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1188,f29]) ).
fof(f1188,plain,
( sum(n0,n3) = sK2
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1187,f16]) ).
fof(f1187,plain,
( sK2 = sum(pred(n1),n3)
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1186,f108]) ).
fof(f1186,plain,
( sK2 = sum(pred(sum(n7,n5)),n3)
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1185,f8]) ).
fof(f1185,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),n3)
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1184,f80]) ).
fof(f1184,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,n10))
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1183,f15]) ).
fof(f1183,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(n0)))
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1182,f107]) ).
fof(f1182,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(sum(n7,n4))))
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1174,f247]) ).
fof(f1174,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_16 ),
inference(superposition,[],[f149,f291]) ).
fof(f1162,plain,
( ~ spl3_6
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1161,plain,
( $false
| ~ spl3_6
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f1160,f157]) ).
fof(f1160,plain,
( n7 = sK2
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1159,f124]) ).
fof(f1159,plain,
( sum(n8,n10) = sK2
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1158,f24]) ).
fof(f1158,plain,
( sK2 = sum(pred(n9),n10)
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1157,f85]) ).
fof(f1157,plain,
( sK2 = sum(pred(sum(n5,n4)),n10)
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1156,f7]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f3]) ).
fof(f1156,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),n10)
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1155,f66]) ).
fof(f1155,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,n7))
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1154,f23]) ).
fof(f1154,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,pred(n8)))
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1153,f84]) ).
fof(f1153,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,pred(sum(n5,n3))))
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1144,f287]) ).
fof(f287,plain,
( n3 = sK1
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl3_15
<=> n3 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f1144,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f149,f239]) ).
fof(f1143,plain,
( ~ spl3_3
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f1142]) ).
fof(f1142,plain,
( $false
| ~ spl3_3
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f1141,f151]) ).
fof(f1141,plain,
( n1 = sK2
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1140,f88]) ).
fof(f1140,plain,
( sum(n5,n7) = sK2
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1139,f21]) ).
fof(f1139,plain,
( sK2 = sum(pred(n6),n7)
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1138,f52]) ).
fof(f1138,plain,
( sK2 = sum(pred(sum(n2,n4)),n7)
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1137,f7]) ).
fof(f1137,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),n7)
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1136,f63]) ).
fof(f1136,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,n4))
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1135,f20]) ).
fof(f1135,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(n5)))
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1134,f51]) ).
fof(f1134,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(sum(n2,n3))))
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1125,f287]) ).
fof(f1125,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f149,f227]) ).
fof(f1124,plain,
( ~ spl3_1
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f1123]) ).
fof(f1123,plain,
( $false
| ~ spl3_1
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f1122,f158]) ).
fof(f1122,plain,
( n8 = sK2
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1121,f64]) ).
fof(f1121,plain,
( sum(n3,n5) = sK2
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1120,f19]) ).
fof(f1120,plain,
( sK2 = sum(pred(n4),n5)
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1119,f30]) ).
fof(f1119,plain,
( sK2 = sum(pred(sum(n0,n4)),n5)
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1118,f7]) ).
fof(f1118,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),n5)
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1117,f61]) ).
fof(f1117,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,n2))
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1116,f18]) ).
fof(f1116,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(n3)))
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1115,f29]) ).
fof(f1115,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(sum(n0,n3))))
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1106,f287]) ).
fof(f1106,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f149,f219]) ).
fof(f1105,plain,
( ~ spl3_10
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1104,plain,
( $false
| ~ spl3_10
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f1103,f154]) ).
fof(f1103,plain,
( n4 = sK2
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1102,f40]) ).
fof(f1102,plain,
( sum(n1,n3) = sK2
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1101,f17]) ).
fof(f1101,plain,
( sK2 = sum(pred(n2),n3)
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1100,f129]) ).
fof(f1100,plain,
( sK2 = sum(pred(sum(n9,n4)),n3)
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1099,f7]) ).
fof(f1099,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),n3)
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1098,f59]) ).
fof(f1098,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,n0))
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1097,f16]) ).
fof(f1097,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(n1)))
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1096,f128]) ).
fof(f1096,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(sum(n9,n3))))
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1086,f287]) ).
fof(f1086,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f149,f255]) ).
fof(f1085,plain,
( ~ spl3_4
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1084,plain,
( $false
| ~ spl3_4
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f1083,f153]) ).
fof(f1083,plain,
( n3 = sK2
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1082,f100]) ).
fof(f1082,plain,
( sum(n6,n8) = sK2
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1081,f22]) ).
fof(f1081,plain,
( sK2 = sum(pred(n7),n8)
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1080,f63]) ).
fof(f1080,plain,
( sK2 = sum(pred(sum(n3,n4)),n8)
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1079,f7]) ).
fof(f1079,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),n8)
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1078,f64]) ).
fof(f1078,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,n5))
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1077,f21]) ).
fof(f1077,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,pred(n6)))
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1076,f62]) ).
fof(f1076,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,pred(sum(n3,n3))))
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1066,f287]) ).
fof(f1066,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f149,f231]) ).
fof(f1065,plain,
( ~ spl3_11
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f1064]) ).
fof(f1064,plain,
( $false
| ~ spl3_11
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f1063,f156]) ).
fof(f1063,plain,
( n6 = sK2
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1062,f52]) ).
fof(f1062,plain,
( sum(n2,n4) = sK2
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1061,f18]) ).
fof(f1061,plain,
( sK2 = sum(pred(n3),n4)
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1060,f140]) ).
fof(f1060,plain,
( sK2 = sum(pred(sum(n10,n4)),n4)
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1059,f7]) ).
fof(f1059,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),n4)
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1058,f60]) ).
fof(f1058,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,n1))
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1057,f17]) ).
fof(f1057,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,pred(n2)))
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1056,f139]) ).
fof(f1056,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,pred(sum(n10,n3))))
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1045,f287]) ).
fof(f1045,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f149,f259]) ).
fof(f1044,plain,
( ~ spl3_8
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f1043]) ).
fof(f1043,plain,
( $false
| ~ spl3_8
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f1042,f150]) ).
fof(f1042,plain,
( n0 = sK2
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1041,f137]) ).
fof(f1041,plain,
( sum(n10,n1) = sK2
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1040,f15]) ).
fof(f1040,plain,
( sK2 = sum(pred(n0),n1)
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1039,f107]) ).
fof(f1039,plain,
( sK2 = sum(pred(sum(n7,n4)),n1)
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1038,f7]) ).
fof(f1038,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),n1)
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1037,f68]) ).
fof(f1037,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,n9))
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1036,f25]) ).
fof(f1036,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,pred(n10)))
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1035,f106]) ).
fof(f1035,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,pred(sum(n7,n3))))
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1026,f287]) ).
fof(f1026,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f149,f247]) ).
fof(f1025,plain,
( ~ spl3_5
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f1024]) ).
fof(f1024,plain,
( $false
| ~ spl3_5
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f1023,f155]) ).
fof(f1023,plain,
( n5 = sK2
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1022,f112]) ).
fof(f1022,plain,
( sum(n7,n9) = sK2
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1021,f23]) ).
fof(f1021,plain,
( sK2 = sum(pred(n8),n9)
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1020,f74]) ).
fof(f1020,plain,
( sK2 = sum(pred(sum(n4,n4)),n9)
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1019,f7]) ).
fof(f1019,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),n9)
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1018,f65]) ).
fof(f1018,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,n6))
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1017,f22]) ).
fof(f1017,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,pred(n7)))
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1016,f73]) ).
fof(f1016,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,pred(sum(n4,n3))))
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1007,f287]) ).
fof(f1007,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f149,f235]) ).
fof(f1005,plain,
( ~ spl3_9
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f1004]) ).
fof(f1004,plain,
( $false
| ~ spl3_9
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f1003,f152]) ).
fof(f1003,plain,
( n2 = sK2
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1002,f28]) ).
fof(f1002,plain,
( sum(n0,n2) = sK2
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1001,f16]) ).
fof(f1001,plain,
( sK2 = sum(pred(n1),n2)
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f1000,f118]) ).
fof(f1000,plain,
( sK2 = sum(pred(sum(n8,n4)),n2)
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f999,f7]) ).
fof(f999,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),n2)
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f998,f69]) ).
fof(f998,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,n10))
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f997,f15]) ).
fof(f997,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,pred(n0)))
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f996,f117]) ).
fof(f996,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,pred(sum(n8,n3))))
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f988,f251]) ).
fof(f988,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_15 ),
inference(superposition,[],[f149,f287]) ).
fof(f976,plain,
( ~ spl3_7
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f975]) ).
fof(f975,plain,
( $false
| ~ spl3_7
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f974,f160]) ).
fof(f974,plain,
( n10 = sK2
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f973,f56]) ).
fof(f973,plain,
( sum(n2,n8) = sK2
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f972,f18]) ).
fof(f972,plain,
( sK2 = sum(pred(n3),n8)
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f971,f100]) ).
fof(f971,plain,
( sK2 = sum(pred(sum(n6,n8)),n8)
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f970,f11]) ).
fof(f970,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),n8)
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f969,f104]) ).
fof(f969,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,n1))
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f968,f17]) ).
fof(f968,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,pred(n2)))
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f967,f99]) ).
fof(f967,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,pred(sum(n6,n7))))
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f958,f243]) ).
fof(f243,plain,
( n6 = sK0
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl3_7
<=> n6 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f958,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_19 ),
inference(superposition,[],[f149,f303]) ).
fof(f957,plain,
( ~ spl3_7
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f956]) ).
fof(f956,plain,
( $false
| ~ spl3_7
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f955,f154]) ).
fof(f955,plain,
( n4 = sK2
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f954,f30]) ).
fof(f954,plain,
( sum(n0,n4) = sK2
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f953,f16]) ).
fof(f953,plain,
( sK2 = sum(pred(n1),n4)
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f952,f98]) ).
fof(f952,plain,
( sK2 = sum(pred(sum(n6,n6)),n4)
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f951,f9]) ).
fof(f951,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),n4)
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f950,f91]) ).
fof(f950,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,n10))
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f949,f15]) ).
fof(f949,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,pred(n0)))
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f948,f97]) ).
fof(f948,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,pred(sum(n6,n5))))
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f939,f243]) ).
fof(f939,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_17 ),
inference(superposition,[],[f149,f295]) ).
fof(f938,plain,
( ~ spl3_7
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f937]) ).
fof(f937,plain,
( $false
| ~ spl3_7
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f936,f156]) ).
fof(f936,plain,
( n6 = sK2
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f935,f123]) ).
fof(f935,plain,
( sum(n8,n9) = sK2
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f934,f24]) ).
fof(f934,plain,
( sK2 = sum(pred(n9),n9)
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f933,f95]) ).
fof(f933,plain,
( sK2 = sum(pred(sum(n6,n3)),n9)
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f932,f6]) ).
fof(f932,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),n9)
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f931,f55]) ).
fof(f931,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,n7))
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f930,f23]) ).
fof(f930,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(n8)))
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f929,f94]) ).
fof(f929,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(sum(n6,n2))))
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f920,f243]) ).
fof(f920,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_14 ),
inference(superposition,[],[f149,f283]) ).
fof(f919,plain,
( ~ spl3_7
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f918,plain,
( $false
| ~ spl3_7
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f917,f155]) ).
fof(f917,plain,
( n5 = sK2
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f916,f71]) ).
fof(f916,plain,
( sum(n4,n1) = sK2
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f915,f20]) ).
fof(f915,plain,
( sK2 = sum(pred(n5),n1)
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f914,f102]) ).
fof(f914,plain,
( sK2 = sum(pred(sum(n6,n10)),n1)
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f913,f13]) ).
fof(f913,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),n1)
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f912,f128]) ).
fof(f912,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,n3))
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f911,f19]) ).
fof(f911,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,pred(n4)))
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f910,f101]) ).
fof(f910,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,pred(sum(n6,n9))))
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f900,f243]) ).
fof(f900,plain,
( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
| ~ spl3_21 ),
inference(superposition,[],[f149,f311]) ).
fof(f899,plain,
( ~ spl3_7
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f898,plain,
( $false
| ~ spl3_7
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f897,f153]) ).
fof(f897,plain,
( n3 = sK2
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f896,f110]) ).
fof(f896,plain,
( sum(n7,n7) = sK2
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f895,f23]) ).
fof(f895,plain,
( sK2 = sum(pred(n8),n7)
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f894,f94]) ).
fof(f894,plain,
( sK2 = sum(pred(sum(n6,n2)),n7)
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f893,f5]) ).
fof(f893,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),n7)
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f892,f43]) ).
fof(f43,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f892,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,n6))
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f891,f22]) ).
fof(f891,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,pred(n7)))
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f890,f93]) ).
fof(f890,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,pred(sum(n6,n1))))
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f883,f243]) ).
fof(f883,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_13 ),
inference(superposition,[],[f149,f279]) ).
fof(f882,plain,
( ~ spl3_7
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f881]) ).
fof(f881,plain,
( $false
| ~ spl3_7
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f880,f151]) ).
fof(f880,plain,
( n1 = sK2
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f879,f138]) ).
fof(f879,plain,
( sum(n10,n2) = sK2
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f878,f15]) ).
fof(f878,plain,
( sK2 = sum(pred(n0),n2)
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f877,f97]) ).
fof(f877,plain,
( sK2 = sum(pred(sum(n6,n5)),n2)
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f876,f8]) ).
fof(f876,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),n2)
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f875,f79]) ).
fof(f875,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,n9))
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f874,f25]) ).
fof(f874,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(n10)))
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f873,f96]) ).
fof(f873,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(sum(n6,n4))))
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f865,f243]) ).
fof(f865,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_16 ),
inference(superposition,[],[f149,f291]) ).
fof(f864,plain,
( ~ spl3_7
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f863]) ).
fof(f863,plain,
( $false
| ~ spl3_7
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f862,f150]) ).
fof(f862,plain,
( n0 = sK2
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f861,f97]) ).
fof(f861,plain,
( sum(n6,n5) = sK2
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f860,f22]) ).
fof(f860,plain,
( sK2 = sum(pred(n7),n5)
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f859,f93]) ).
fof(f859,plain,
( sK2 = sum(pred(sum(n6,n1)),n5)
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f858,f4]) ).
fof(f858,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),n5)
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f857,f31]) ).
fof(f857,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,n5))
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f856,f21]) ).
fof(f856,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,pred(n6)))
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f855,f92]) ).
fof(f855,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,pred(sum(n6,n0))))
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f847,f243]) ).
fof(f847,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_12 ),
inference(superposition,[],[f149,f275]) ).
fof(f846,plain,
( ~ spl3_7
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f845,plain,
( $false
| ~ spl3_7
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f844,f157]) ).
fof(f844,plain,
( n7 = sK2
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f843,f43]) ).
fof(f843,plain,
( sum(n1,n6) = sK2
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f842,f17]) ).
fof(f842,plain,
( sK2 = sum(pred(n2),n6)
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f841,f99]) ).
fof(f841,plain,
( sK2 = sum(pred(sum(n6,n7)),n6)
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f840,f10]) ).
fof(f840,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),n6)
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f839,f92]) ).
fof(f839,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,n0))
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f838,f16]) ).
fof(f838,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,pred(n1)))
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f837,f98]) ).
fof(f837,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,pred(sum(n6,n6))))
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f828,f243]) ).
fof(f828,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_18 ),
inference(superposition,[],[f149,f299]) ).
fof(f827,plain,
( ~ spl3_7
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f826,plain,
( $false
| ~ spl3_7
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f825,f152]) ).
fof(f825,plain,
( n2 = sK2
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f824,f69]) ).
fof(f824,plain,
( sum(n3,n10) = sK2
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f823,f19]) ).
fof(f823,plain,
( sK2 = sum(pred(n4),n10)
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f822,f101]) ).
fof(f822,plain,
( sK2 = sum(pred(sum(n6,n9)),n10)
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f821,f12]) ).
fof(f821,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),n10)
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f820,f116]) ).
fof(f820,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,n2))
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f819,f18]) ).
fof(f819,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,pred(n3)))
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f818,f100]) ).
fof(f818,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,pred(sum(n6,n8))))
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f808,f243]) ).
fof(f808,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_20 ),
inference(superposition,[],[f149,f307]) ).
fof(f807,plain,
( ~ spl3_7
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl3_7
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f805,f159]) ).
fof(f805,plain,
( n9 = sK2
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f804,f125]) ).
fof(f804,plain,
( sum(n9,n0) = sK2
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f803,f25]) ).
fof(f803,plain,
( sK2 = sum(pred(n10),n0)
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f802,f96]) ).
fof(f802,plain,
( sK2 = sum(pred(sum(n6,n4)),n0)
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f801,f7]) ).
fof(f801,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),n0)
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f800,f67]) ).
fof(f800,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,n8))
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f799,f24]) ).
fof(f799,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,pred(n9)))
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f798,f95]) ).
fof(f798,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,pred(sum(n6,n3))))
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f788,f243]) ).
fof(f788,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_15 ),
inference(superposition,[],[f149,f287]) ).
fof(f776,plain,
( ~ spl3_1
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f775]) ).
fof(f775,plain,
( $false
| ~ spl3_1
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f774,f157]) ).
fof(f774,plain,
( n7 = sK2
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f773,f144]) ).
fof(f773,plain,
( sum(n10,n8) = sK2
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f772,f15]) ).
fof(f772,plain,
( sK2 = sum(pred(n0),n8)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f771,f26]) ).
fof(f771,plain,
( sK2 = sum(pred(sum(n0,n0)),n8)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f770,f14]) ).
fof(f14,plain,
n0 = succ(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f770,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),n8)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f769,f145]) ).
fof(f769,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,n9))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f768,f25]) ).
fof(f768,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,pred(n10)))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f767,f36]) ).
fof(f767,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,pred(sum(n0,n10))))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f757,f315]) ).
fof(f315,plain,
( n10 = sK1
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl3_22
<=> n10 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f757,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f149,f219]) ).
fof(f756,plain,
( ~ spl3_11
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f755,plain,
( $false
| ~ spl3_11
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f754,f155]) ).
fof(f754,plain,
( n5 = sK2
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f753,f132]) ).
fof(f753,plain,
( sum(n9,n7) = sK2
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f752,f25]) ).
fof(f752,plain,
( sK2 = sum(pred(n10),n7)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f751,f136]) ).
fof(f751,plain,
( sK2 = sum(pred(sum(n10,n0)),n7)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f750,f14]) ).
fof(f750,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),n7)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f749,f144]) ).
fof(f749,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,n8))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f748,f24]) ).
fof(f748,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,pred(n9)))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f747,f146]) ).
fof(f747,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,pred(sum(n10,n10))))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f736,f315]) ).
fof(f736,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f149,f259]) ).
fof(f735,plain,
( ~ spl3_10
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f734,plain,
( $false
| ~ spl3_10
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f733,f153]) ).
fof(f733,plain,
( n3 = sK2
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f732,f120]) ).
fof(f732,plain,
( sum(n8,n6) = sK2
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f731,f24]) ).
fof(f731,plain,
( sK2 = sum(pred(n9),n6)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f730,f125]) ).
fof(f730,plain,
( sK2 = sum(pred(sum(n9,n0)),n6)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f729,f14]) ).
fof(f729,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),n6)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f728,f143]) ).
fof(f728,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,n7))
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f727,f23]) ).
fof(f727,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,pred(n8)))
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f726,f135]) ).
fof(f726,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,pred(sum(n9,n10))))
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f716,f315]) ).
fof(f716,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f149,f255]) ).
fof(f715,plain,
( ~ spl3_9
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f714,plain,
( $false
| ~ spl3_9
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f713,f151]) ).
fof(f713,plain,
( n1 = sK2
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f712,f108]) ).
fof(f712,plain,
( sum(n7,n5) = sK2
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f711,f23]) ).
fof(f711,plain,
( sK2 = sum(pred(n8),n5)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f710,f114]) ).
fof(f710,plain,
( sK2 = sum(pred(sum(n8,n0)),n5)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f709,f14]) ).
fof(f709,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),n5)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f708,f142]) ).
fof(f708,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,n6))
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f707,f22]) ).
fof(f707,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,pred(n7)))
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f706,f124]) ).
fof(f706,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,pred(sum(n8,n10))))
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f697,f315]) ).
fof(f697,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f149,f251]) ).
fof(f696,plain,
( ~ spl3_8
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f695,plain,
( $false
| ~ spl3_8
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f694,f160]) ).
fof(f694,plain,
( n10 = sK2
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f693,f96]) ).
fof(f693,plain,
( sum(n6,n4) = sK2
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f692,f22]) ).
fof(f692,plain,
( sK2 = sum(pred(n7),n4)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f691,f103]) ).
fof(f691,plain,
( sK2 = sum(pred(sum(n7,n0)),n4)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f690,f14]) ).
fof(f690,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),n4)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f689,f141]) ).
fof(f689,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,n5))
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f688,f21]) ).
fof(f688,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(n6)))
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f687,f113]) ).
fof(f687,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(sum(n7,n10))))
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f679,f315]) ).
fof(f679,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f149,f247]) ).
fof(f678,plain,
( ~ spl3_7
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl3_7
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f676,f158]) ).
fof(f676,plain,
( n8 = sK2
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f675,f84]) ).
fof(f675,plain,
( sum(n5,n3) = sK2
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f674,f21]) ).
fof(f674,plain,
( sK2 = sum(pred(n6),n3)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f673,f92]) ).
fof(f673,plain,
( sK2 = sum(pred(sum(n6,n0)),n3)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f672,f14]) ).
fof(f672,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),n3)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f671,f140]) ).
fof(f671,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,n4))
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f670,f20]) ).
fof(f670,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,pred(n5)))
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f669,f102]) ).
fof(f669,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,pred(sum(n6,n10))))
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f662,f315]) ).
fof(f662,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f149,f243]) ).
fof(f661,plain,
( ~ spl3_6
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f660,plain,
( $false
| ~ spl3_6
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f659,f156]) ).
fof(f659,plain,
( n6 = sK2
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f658,f72]) ).
fof(f658,plain,
( sum(n4,n2) = sK2
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f657,f20]) ).
fof(f657,plain,
( sK2 = sum(pred(n5),n2)
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f656,f81]) ).
fof(f656,plain,
( sK2 = sum(pred(sum(n5,n0)),n2)
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f655,f14]) ).
fof(f655,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),n2)
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f654,f139]) ).
fof(f654,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,n3))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f653,f19]) ).
fof(f653,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,pred(n4)))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f652,f91]) ).
fof(f652,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,pred(sum(n5,n10))))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f646,f315]) ).
fof(f646,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f149,f239]) ).
fof(f645,plain,
( ~ spl3_5
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f644,plain,
( $false
| ~ spl3_5
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f643,f154]) ).
fof(f643,plain,
( n4 = sK2
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f642,f60]) ).
fof(f642,plain,
( sum(n3,n1) = sK2
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f641,f19]) ).
fof(f641,plain,
( sK2 = sum(pred(n4),n1)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f640,f70]) ).
fof(f640,plain,
( sK2 = sum(pred(sum(n4,n0)),n1)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f639,f14]) ).
fof(f639,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),n1)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f638,f138]) ).
fof(f638,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,n2))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f637,f18]) ).
fof(f637,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,pred(n3)))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f636,f80]) ).
fof(f636,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,pred(sum(n4,n10))))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f635,f315]) ).
fof(f635,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f149,f235]) ).
fof(f630,plain,
( ~ spl3_4
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| ~ spl3_4
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f628,f152]) ).
fof(f628,plain,
( n2 = sK2
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f627,f48]) ).
fof(f627,plain,
( sum(n2,n0) = sK2
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f626,f18]) ).
fof(f626,plain,
( sK2 = sum(pred(n3),n0)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f625,f59]) ).
fof(f625,plain,
( sK2 = sum(pred(sum(n3,n0)),n0)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f624,f14]) ).
fof(f624,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),n0)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f623,f137]) ).
fof(f623,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,n1))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f622,f17]) ).
fof(f622,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,pred(n2)))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f621,f69]) ).
fof(f621,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,pred(sum(n3,n10))))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f620,f315]) ).
fof(f620,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f149,f231]) ).
fof(f616,plain,
( ~ spl3_3
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f615,plain,
( $false
| ~ spl3_3
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f614,f150]) ).
fof(f614,plain,
( n0 = sK2
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f613,f47]) ).
fof(f613,plain,
( sum(n1,n10) = sK2
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f612,f17]) ).
fof(f612,plain,
( sK2 = sum(pred(n2),n10)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f611,f48]) ).
fof(f611,plain,
( sK2 = sum(pred(sum(n2,n0)),n10)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f610,f14]) ).
fof(f610,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),n10)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f609,f136]) ).
fof(f609,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,n0))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f608,f16]) ).
fof(f608,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(n1)))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f607,f58]) ).
fof(f607,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(sum(n2,n10))))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f606,f315]) ).
fof(f606,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f149,f227]) ).
fof(f602,plain,
( ~ spl3_2
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| ~ spl3_2
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f600,f159]) ).
fof(f600,plain,
( n9 = sK2
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f599,f35]) ).
fof(f599,plain,
( sum(n0,n9) = sK2
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f598,f16]) ).
fof(f598,plain,
( sK2 = sum(pred(n1),n9)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f597,f37]) ).
fof(f597,plain,
( sK2 = sum(pred(sum(n1,n0)),n9)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f596,f14]) ).
fof(f596,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),n9)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f595,f146]) ).
fof(f595,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,n10))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f594,f15]) ).
fof(f594,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(n0)))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f573,f47]) ).
fof(f573,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(sum(n1,n10))))
| ~ spl3_2
| ~ spl3_22 ),
inference(superposition,[],[f262,f315]) ).
fof(f262,plain,
( sK2 = sum(pred(sum(n1,succ(sK1))),sum(sK1,pred(sum(n1,sK1))))
| ~ spl3_2 ),
inference(superposition,[],[f149,f223]) ).
fof(f223,plain,
( n1 = sK0
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl3_2
<=> n1 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f593,plain,
( ~ spl3_2
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f592]) ).
fof(f592,plain,
( $false
| ~ spl3_2
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f591,f159]) ).
fof(f591,plain,
( n9 = sK2
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f590,f35]) ).
fof(f590,plain,
( sum(n0,n9) = sK2
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f589,f16]) ).
fof(f589,plain,
( sK2 = sum(pred(n1),n9)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f588,f37]) ).
fof(f588,plain,
( sK2 = sum(pred(sum(n1,n0)),n9)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f587,f14]) ).
fof(f587,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),n9)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f586,f146]) ).
fof(f586,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,n10))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f585,f15]) ).
fof(f585,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(n0)))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f584,f47]) ).
fof(f584,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(sum(n1,n10))))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f572,f223]) ).
fof(f572,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_22 ),
inference(superposition,[],[f149,f315]) ).
fof(f571,plain,
( ~ spl3_2
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f570]) ).
fof(f570,plain,
( $false
| ~ spl3_2
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f569,f156]) ).
fof(f569,plain,
( n6 = sK2
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f568,f143]) ).
fof(f568,plain,
( sum(n10,n7) = sK2
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f567,f15]) ).
fof(f567,plain,
( sK2 = sum(pred(n0),n7)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f566,f47]) ).
fof(f566,plain,
( sK2 = sum(pred(sum(n1,n10)),n7)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f565,f13]) ).
fof(f565,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),n7)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f564,f134]) ).
fof(f564,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,n9))
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f563,f25]) ).
fof(f563,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(n10)))
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f543,f46]) ).
fof(f543,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(sum(n1,n9))))
| ~ spl3_2
| ~ spl3_21 ),
inference(superposition,[],[f262,f311]) ).
fof(f562,plain,
( ~ spl3_2
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f561,plain,
( $false
| ~ spl3_2
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f560,f156]) ).
fof(f560,plain,
( n6 = sK2
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f559,f143]) ).
fof(f559,plain,
( sum(n10,n7) = sK2
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f558,f15]) ).
fof(f558,plain,
( sK2 = sum(pred(n0),n7)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f557,f47]) ).
fof(f557,plain,
( sK2 = sum(pred(sum(n1,n10)),n7)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f556,f13]) ).
fof(f556,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),n7)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f555,f134]) ).
fof(f555,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,n9))
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f554,f25]) ).
fof(f554,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(n10)))
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f553,f46]) ).
fof(f553,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(sum(n1,n9))))
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f542,f223]) ).
fof(f542,plain,
( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
| ~ spl3_21 ),
inference(superposition,[],[f149,f311]) ).
fof(f541,plain,
( ~ spl3_2
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| ~ spl3_2
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f539,f153]) ).
fof(f539,plain,
( n3 = sK2
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f538,f130]) ).
fof(f538,plain,
( sum(n9,n5) = sK2
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f537,f25]) ).
fof(f537,plain,
( sK2 = sum(pred(n10),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f536,f46]) ).
fof(f536,plain,
( sK2 = sum(pred(sum(n1,n9)),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f535,f12]) ).
fof(f535,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f534,f122]) ).
fof(f534,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,n8))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f533,f24]) ).
fof(f533,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(n9)))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f514,f45]) ).
fof(f514,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(sum(n1,n8))))
| ~ spl3_2
| ~ spl3_20 ),
inference(superposition,[],[f262,f307]) ).
fof(f532,plain,
( ~ spl3_2
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f531,plain,
( $false
| ~ spl3_2
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f530,f153]) ).
fof(f530,plain,
( n3 = sK2
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f529,f130]) ).
fof(f529,plain,
( sum(n9,n5) = sK2
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f528,f25]) ).
fof(f528,plain,
( sK2 = sum(pred(n10),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f527,f46]) ).
fof(f527,plain,
( sK2 = sum(pred(sum(n1,n9)),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f526,f12]) ).
fof(f526,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f525,f122]) ).
fof(f525,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,n8))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f524,f24]) ).
fof(f524,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(n9)))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f523,f45]) ).
fof(f523,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(sum(n1,n8))))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f513,f223]) ).
fof(f513,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_20 ),
inference(superposition,[],[f149,f307]) ).
fof(f512,plain,
( ~ spl3_2
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f511,plain,
( $false
| ~ spl3_2
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f510,f150]) ).
fof(f510,plain,
( n0 = sK2
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f509,f117]) ).
fof(f509,plain,
( sum(n8,n3) = sK2
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f508,f24]) ).
fof(f508,plain,
( sK2 = sum(pred(n9),n3)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f507,f45]) ).
fof(f507,plain,
( sK2 = sum(pred(sum(n1,n8)),n3)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f506,f11]) ).
fof(f506,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),n3)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f505,f110]) ).
fof(f505,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,n7))
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f504,f23]) ).
fof(f504,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(n8)))
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f486,f44]) ).
fof(f486,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(sum(n1,n7))))
| ~ spl3_2
| ~ spl3_19 ),
inference(superposition,[],[f262,f303]) ).
fof(f503,plain,
( ~ spl3_2
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f502,plain,
( $false
| ~ spl3_2
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f501,f150]) ).
fof(f501,plain,
( n0 = sK2
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f500,f117]) ).
fof(f500,plain,
( sum(n8,n3) = sK2
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f499,f24]) ).
fof(f499,plain,
( sK2 = sum(pred(n9),n3)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f498,f45]) ).
fof(f498,plain,
( sK2 = sum(pred(sum(n1,n8)),n3)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f497,f11]) ).
fof(f497,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),n3)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f496,f110]) ).
fof(f496,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,n7))
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f495,f23]) ).
fof(f495,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(n8)))
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f494,f44]) ).
fof(f494,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(sum(n1,n7))))
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f485,f223]) ).
fof(f485,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_19 ),
inference(superposition,[],[f149,f303]) ).
fof(f484,plain,
( ~ spl3_2
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| ~ spl3_2
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f482,f158]) ).
fof(f482,plain,
( n8 = sK2
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f481,f104]) ).
fof(f481,plain,
( sum(n7,n1) = sK2
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f480,f23]) ).
fof(f480,plain,
( sK2 = sum(pred(n8),n1)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f479,f44]) ).
fof(f479,plain,
( sK2 = sum(pred(sum(n1,n7)),n1)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f478,f10]) ).
fof(f478,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),n1)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f477,f98]) ).
fof(f477,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,n6))
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f476,f22]) ).
fof(f476,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(n7)))
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f459,f43]) ).
fof(f459,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(sum(n1,n6))))
| ~ spl3_2
| ~ spl3_18 ),
inference(superposition,[],[f262,f299]) ).
fof(f475,plain,
( ~ spl3_2
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f474,plain,
( $false
| ~ spl3_2
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f473,f158]) ).
fof(f473,plain,
( n8 = sK2
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f472,f104]) ).
fof(f472,plain,
( sum(n7,n1) = sK2
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f471,f23]) ).
fof(f471,plain,
( sK2 = sum(pred(n8),n1)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f470,f44]) ).
fof(f470,plain,
( sK2 = sum(pred(sum(n1,n7)),n1)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f469,f10]) ).
fof(f469,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),n1)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f468,f98]) ).
fof(f468,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,n6))
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f467,f22]) ).
fof(f467,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(n7)))
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f466,f43]) ).
fof(f466,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(sum(n1,n6))))
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f458,f223]) ).
fof(f458,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_18 ),
inference(superposition,[],[f149,f299]) ).
fof(f457,plain,
( ~ spl3_2
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f456,plain,
( $false
| ~ spl3_2
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f455,f155]) ).
fof(f455,plain,
( n5 = sK2
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f454,f102]) ).
fof(f454,plain,
( sum(n6,n10) = sK2
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f453,f22]) ).
fof(f453,plain,
( sK2 = sum(pred(n7),n10)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f452,f43]) ).
fof(f452,plain,
( sK2 = sum(pred(sum(n1,n6)),n10)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f451,f9]) ).
fof(f451,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),n10)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f450,f86]) ).
fof(f450,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,n5))
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f449,f21]) ).
fof(f449,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(n6)))
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f433,f42]) ).
fof(f433,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(sum(n1,n5))))
| ~ spl3_2
| ~ spl3_17 ),
inference(superposition,[],[f262,f295]) ).
fof(f448,plain,
( ~ spl3_2
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| ~ spl3_2
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f446,f155]) ).
fof(f446,plain,
( n5 = sK2
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f445,f102]) ).
fof(f445,plain,
( sum(n6,n10) = sK2
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f444,f22]) ).
fof(f444,plain,
( sK2 = sum(pred(n7),n10)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f443,f43]) ).
fof(f443,plain,
( sK2 = sum(pred(sum(n1,n6)),n10)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f442,f9]) ).
fof(f442,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),n10)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f441,f86]) ).
fof(f441,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,n5))
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f440,f21]) ).
fof(f440,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(n6)))
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f439,f42]) ).
fof(f439,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(sum(n1,n5))))
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f432,f223]) ).
fof(f432,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_17 ),
inference(superposition,[],[f149,f295]) ).
fof(f431,plain,
( ~ spl3_2
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f430,plain,
( $false
| ~ spl3_2
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f429,f152]) ).
fof(f429,plain,
( n2 = sK2
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f428,f89]) ).
fof(f428,plain,
( sum(n5,n8) = sK2
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f427,f21]) ).
fof(f427,plain,
( sK2 = sum(pred(n6),n8)
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f426,f42]) ).
fof(f426,plain,
( sK2 = sum(pred(sum(n1,n5)),n8)
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f425,f8]) ).
fof(f425,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),n8)
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f424,f74]) ).
fof(f424,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,n4))
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f423,f20]) ).
fof(f423,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(n5)))
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f408,f41]) ).
fof(f408,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(sum(n1,n4))))
| ~ spl3_2
| ~ spl3_16 ),
inference(superposition,[],[f262,f291]) ).
fof(f422,plain,
( ~ spl3_2
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| ~ spl3_2
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f420,f152]) ).
fof(f420,plain,
( n2 = sK2
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f419,f89]) ).
fof(f419,plain,
( sum(n5,n8) = sK2
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f418,f21]) ).
fof(f418,plain,
( sK2 = sum(pred(n6),n8)
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f417,f42]) ).
fof(f417,plain,
( sK2 = sum(pred(sum(n1,n5)),n8)
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f416,f8]) ).
fof(f416,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),n8)
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f415,f74]) ).
fof(f415,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,n4))
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f414,f20]) ).
fof(f414,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(n5)))
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f413,f41]) ).
fof(f413,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(sum(n1,n4))))
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f407,f223]) ).
fof(f407,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_16 ),
inference(superposition,[],[f149,f291]) ).
fof(f406,plain,
( ~ spl3_2
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl3_2
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f404,f160]) ).
fof(f404,plain,
( n10 = sK2
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f403,f76]) ).
fof(f403,plain,
( sum(n4,n6) = sK2
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f402,f20]) ).
fof(f402,plain,
( sK2 = sum(pred(n5),n6)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f401,f41]) ).
fof(f401,plain,
( sK2 = sum(pred(sum(n1,n4)),n6)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f400,f7]) ).
fof(f400,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),n6)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f399,f62]) ).
fof(f399,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,n3))
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f398,f19]) ).
fof(f398,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(n4)))
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f397,f40]) ).
fof(f397,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(sum(n1,n3))))
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f387,f223]) ).
fof(f387,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_15 ),
inference(superposition,[],[f149,f287]) ).
fof(f396,plain,
( ~ spl3_2
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl3_2
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f394,f160]) ).
fof(f394,plain,
( n10 = sK2
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f393,f76]) ).
fof(f393,plain,
( sum(n4,n6) = sK2
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f392,f20]) ).
fof(f392,plain,
( sK2 = sum(pred(n5),n6)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f391,f41]) ).
fof(f391,plain,
( sK2 = sum(pred(sum(n1,n4)),n6)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f390,f7]) ).
fof(f390,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),n6)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f389,f62]) ).
fof(f389,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,n3))
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f388,f19]) ).
fof(f388,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(n4)))
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f386,f40]) ).
fof(f386,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(sum(n1,n3))))
| ~ spl3_2
| ~ spl3_15 ),
inference(superposition,[],[f262,f287]) ).
fof(f382,plain,
( ~ spl3_2
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| ~ spl3_2
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f380,f157]) ).
fof(f380,plain,
( n7 = sK2
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f379,f63]) ).
fof(f379,plain,
( sum(n3,n4) = sK2
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f378,f19]) ).
fof(f378,plain,
( sK2 = sum(pred(n4),n4)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f377,f40]) ).
fof(f377,plain,
( sK2 = sum(pred(sum(n1,n3)),n4)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f376,f6]) ).
fof(f376,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),n4)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f375,f50]) ).
fof(f375,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,n2))
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f374,f18]) ).
fof(f374,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(n3)))
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f373,f39]) ).
fof(f373,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(sum(n1,n2))))
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f363,f223]) ).
fof(f363,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_14 ),
inference(superposition,[],[f149,f283]) ).
fof(f372,plain,
( ~ spl3_2
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f371,plain,
( $false
| ~ spl3_2
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f370,f157]) ).
fof(f370,plain,
( n7 = sK2
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f369,f63]) ).
fof(f369,plain,
( sum(n3,n4) = sK2
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f368,f19]) ).
fof(f368,plain,
( sK2 = sum(pred(n4),n4)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f367,f40]) ).
fof(f367,plain,
( sK2 = sum(pred(sum(n1,n3)),n4)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f366,f6]) ).
fof(f366,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),n4)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f365,f50]) ).
fof(f365,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,n2))
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f364,f18]) ).
fof(f364,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(n3)))
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f362,f39]) ).
fof(f362,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(sum(n1,n2))))
| ~ spl3_2
| ~ spl3_14 ),
inference(superposition,[],[f262,f283]) ).
fof(f359,plain,
( ~ spl3_2
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| ~ spl3_2
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f357,f154]) ).
fof(f357,plain,
( n4 = sK2
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f356,f50]) ).
fof(f356,plain,
( sum(n2,n2) = sK2
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f355,f18]) ).
fof(f355,plain,
( sK2 = sum(pred(n3),n2)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f354,f39]) ).
fof(f354,plain,
( sK2 = sum(pred(sum(n1,n2)),n2)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f353,f5]) ).
fof(f353,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),n2)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f352,f38]) ).
fof(f352,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,n1))
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f351,f17]) ).
fof(f351,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(n2)))
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f350,f38]) ).
fof(f350,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(sum(n1,n1))))
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f340,f223]) ).
fof(f340,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_13 ),
inference(superposition,[],[f149,f279]) ).
fof(f349,plain,
( ~ spl3_2
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| ~ spl3_2
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f347,f154]) ).
fof(f347,plain,
( n4 = sK2
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f346,f50]) ).
fof(f346,plain,
( sum(n2,n2) = sK2
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f345,f18]) ).
fof(f345,plain,
( sK2 = sum(pred(n3),n2)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f344,f39]) ).
fof(f344,plain,
( sK2 = sum(pred(sum(n1,n2)),n2)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f343,f5]) ).
fof(f343,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),n2)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f342,f38]) ).
fof(f342,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,n1))
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f341,f17]) ).
fof(f341,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(n2)))
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f339,f38]) ).
fof(f339,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(sum(n1,n1))))
| ~ spl3_2
| ~ spl3_13 ),
inference(superposition,[],[f262,f279]) ).
fof(f337,plain,
( ~ spl3_2
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f336,plain,
( $false
| ~ spl3_2
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f335,f151]) ).
fof(f335,plain,
( n1 = sK2
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f334,f37]) ).
fof(f334,plain,
( sum(n1,n0) = sK2
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f333,f17]) ).
fof(f333,plain,
( sK2 = sum(pred(n2),n0)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f332,f38]) ).
fof(f332,plain,
( sK2 = sum(pred(sum(n1,n1)),n0)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f331,f4]) ).
fof(f331,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),n0)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f330,f26]) ).
fof(f330,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,n0))
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f329,f16]) ).
fof(f329,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(n1)))
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f328,f37]) ).
fof(f328,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(sum(n1,n0))))
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f318,f223]) ).
fof(f318,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_12 ),
inference(superposition,[],[f149,f275]) ).
fof(f327,plain,
( ~ spl3_2
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| ~ spl3_2
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f325,f151]) ).
fof(f325,plain,
( n1 = sK2
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f324,f37]) ).
fof(f324,plain,
( sum(n1,n0) = sK2
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f323,f17]) ).
fof(f323,plain,
( sK2 = sum(pred(n2),n0)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f322,f38]) ).
fof(f322,plain,
( sK2 = sum(pred(sum(n1,n1)),n0)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f321,f4]) ).
fof(f321,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),n0)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f320,f26]) ).
fof(f320,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,n0))
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f319,f16]) ).
fof(f319,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(n1)))
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f317,f37]) ).
fof(f317,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(sum(n1,n0))))
| ~ spl3_2
| ~ spl3_12 ),
inference(superposition,[],[f262,f275]) ).
fof(f316,plain,
( spl3_12
| spl3_13
| spl3_14
| spl3_15
| spl3_16
| spl3_17
| spl3_18
| spl3_19
| spl3_20
| spl3_21
| spl3_22 ),
inference(avatar_split_clause,[],[f148,f313,f309,f305,f301,f297,f293,f289,f285,f281,f277,f273]) ).
fof(f148,plain,
( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f260,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4
| spl3_5
| spl3_6
| spl3_7
| spl3_8
| spl3_9
| spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f147,f257,f253,f249,f245,f241,f237,f233,f229,f225,f221,f217]) ).
fof(f147,plain,
( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM375+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 15:22:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (19241)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (19245)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (19244)WARNING: value z3 for option sas not known
% 0.14/0.37 % (19242)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (19243)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (19246)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (19247)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (19244)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 Detected minimum model sizes of [12]
% 0.14/0.37 Detected maximum model sizes of [max]
% 0.14/0.37 % (19248)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.38 TRYING [12]
% 0.20/0.38 Detected minimum model sizes of [12]
% 0.20/0.38 Detected maximum model sizes of [max]
% 0.20/0.39 TRYING [12]
% 0.20/0.42 % (19244)First to succeed.
% 0.20/0.43 % (19244)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19241"
% 0.20/0.44 % (19244)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45 % (19244)------------------------------
% 0.20/0.45 % (19244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.45 % (19244)Termination reason: Refutation
% 0.20/0.45
% 0.20/0.45 % (19244)Memory used [KB]: 1519
% 0.20/0.45 % (19244)Time elapsed: 0.063 s
% 0.20/0.45 % (19244)Instructions burned: 127 (million)
% 0.20/0.45 % (19241)Success in time 0.093 s
%------------------------------------------------------------------------------