TSTP Solution File: NUM375+1.010 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM375+1.010 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:04:10 EDT 2022
% Result : Unsatisfiable 2.22s 0.65s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 1532 ( 156 unt; 0 def)
% Number of atoms : 5415 (2694 equ)
% Maximal formula atoms : 464 ( 3 avg)
% Number of connectives : 6845 (2962 ~;2594 |;1266 &)
% ( 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 : 12 ( 0 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2508,plain,
$false,
inference(avatar_sat_refutation,[],[f262,f307,f329,f339,f352,f366,f381,f397,f414,f432,f451,f471,f492,f504,f516,f528,f542,f556,f570,f584,f602,f622,f643,f662,f672,f690,f709,f727,f745,f766,f785,f805,f823,f843,f861,f881,f901,f919,f937,f954,f975,f995,f1014,f1024,f1044,f1062,f1079,f1096,f1116,f1135,f1155,f1174,f1194,f1213,f1233,f1252,f1273,f1293,f1312,f1331,f1352,f1371,f1390,f1409,f1430,f1450,f1469,f1489,f1508,f1527,f1544,f1562,f1583,f1603,f1623,f1639,f1654,f1674,f1693,f1713,f1733,f1753,f1772,f1791,f1811,f1830,f1848,f1867,f1877,f1888,f1898,f1920,f1939,f1959,f1979,f1998,f2017,f2036,f2056,f2075,f2095,f2113,f2132,f2153,f2174,f2194,f2214,f2234,f2252,f2271,f2292,f2312,f2332,f2353,f2373,f2383,f2393,f2414,f2435,f2455,f2475,f2485,f2507]) ).
fof(f2507,plain,
( ~ spl3_3
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2506]) ).
fof(f2506,plain,
( $false
| ~ spl3_3
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2505,f120]) ).
fof(f120,plain,
n7 != sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f5,plain,
( n2 != n4
& n8 = sum(n5,n3)
& n5 != n7
& n4 = sum(n8,n7)
& n8 != sK1
& n2 != n10
& n10 = sum(n0,n10)
& n1 != n8
& n6 = pred(n7)
& n5 = sum(n7,n9)
& n2 = sum(n9,n4)
& n0 = sum(n7,n4)
& n5 = sum(n8,n8)
& sum(pred(sum(sK2,succ(sK0))),sum(sK0,pred(sum(sK2,sK0)))) = sK1
& n4 = sum(n1,n3)
& n9 = sum(n7,n2)
& n3 = sum(n5,n9)
& n0 = sum(n5,n6)
& n5 = sum(n9,n7)
& n4 = sum(n0,n4)
& n3 != n5
& n2 != n3
& n9 = sum(n0,n9)
& n3 != n4
& n0 != n6
& n4 != n7
& n3 = sum(n0,n3)
& n6 != n9
& n6 = sum(n6,n0)
& succ(n9) = n10
& n6 = sum(n3,n3)
& n4 = sum(n2,n2)
& n1 = sum(n10,n2)
& n8 = sum(n7,n1)
& n1 != n5
& n0 = pred(n1)
& n0 = sum(n4,n7)
& n8 != n9
& n7 = sum(n2,n5)
& n5 != sK1
& n2 = sum(n6,n7)
& n0 = sum(n6,n5)
& n8 = sum(n4,n4)
& n2 = sum(n7,n6)
& n6 != n7
& n4 = sum(n9,n6)
& n8 = sum(n8,n0)
& n4 != n5
& n9 = sum(n9,n0)
& n9 = sum(n10,n10)
& n3 != n7
& n8 = sum(n1,n7)
& n7 = sum(n8,n10)
& n7 = pred(n8)
& n1 = pred(n2)
& n2 = sum(n8,n5)
& n3 = sum(n8,n6)
& n3 != n8
& n9 = sum(n6,n3)
& n9 = sum(n1,n8)
& n5 = sum(n5,n0)
& n6 = sum(n9,n8)
& n3 != n10
& n10 = sum(n8,n2)
& succ(n2) = n3
& n10 = sum(n3,n7)
& n2 != n5
& n6 != n8
& n8 = sum(n2,n6)
& n3 = sum(n2,n1)
& n7 = sum(n0,n7)
& n8 != n10
& n9 != n10
& n0 != n1
& n9 = sum(n5,n4)
& n0 = sum(n2,n9)
& n10 = sum(n7,n3)
& succ(n5) = n6
& n8 = sum(n3,n5)
& n1 != n6
& n3 = sum(n3,n0)
& n5 = sum(n0,n5)
& n1 = sum(n9,n3)
& n1 = sum(n1,n0)
& n7 != n10
& n8 = sum(n6,n2)
& n1 = sum(n3,n9)
& n3 = sum(n7,n7)
& n4 = sum(n3,n1)
& n5 = sum(n10,n6)
& succ(n4) = n5
& succ(n6) = n7
& n5 = pred(n6)
& n5 = sum(n3,n2)
& n4 = pred(n5)
& n3 = pred(n4)
& n0 != n10
& n7 != sK1
& n2 = sum(n0,n2)
& n10 = sum(n9,n1)
& succ(n8) = n9
& n2 = sum(n1,n1)
& n5 = sum(n4,n1)
& n5 = sum(n6,n10)
& n2 = sum(n2,n0)
& n6 = sum(n0,n6)
& n0 = sum(n3,n8)
& n3 = sum(n4,n10)
& n0 != n7
& n0 != sK1
& n7 = sum(n4,n3)
& n1 = sum(n5,n7)
& n9 != sK1
& n7 != n8
& n5 != n6
& n7 = sum(n6,n1)
& n6 != sK1
& ( n8 = sK0
| n1 = sK0
| n2 = sK0
| n5 = sK0
| n9 = sK0
| n3 = sK0
| n7 = sK0
| n0 = sK0
| n4 = sK0
| n6 = sK0
| n10 = sK0 )
& n0 != n5
& n4 = sum(n6,n9)
& n2 != n8
& n5 = sum(n2,n3)
& n7 = sum(n10,n8)
& n0 != n4
& n6 = sum(n2,n4)
& n7 = sum(n7,n0)
& n4 != n9
& n3 = sum(n10,n4)
& n0 = sum(n8,n3)
& n2 != n6
& n10 = sum(n6,n4)
& succ(n1) = n2
& n10 = sum(n10,n0)
& n7 != n9
& n6 = sum(n1,n5)
& n7 = sum(n5,n2)
& n10 = sum(n2,n8)
& n2 = sum(n4,n9)
& succ(n7) = n8
& n5 != n8
& n3 != n9
& n4 = sum(n7,n8)
& n10 = sum(n4,n6)
& n2 != sK1
& n9 = sum(n3,n6)
& n10 = sum(n1,n9)
& n4 != n8
& n6 = sum(n7,n10)
& n9 = sum(n4,n5)
& n2 = sum(n5,n8)
& n1 != n2
& n4 = sum(n4,n0)
& n5 != n10
& n0 = sum(n0,n0)
& n4 != n6
& n3 != n6
& n1 != n10
& n6 = sum(n8,n9)
& n6 = sum(n4,n2)
& succ(n0) = n1
& n10 = sum(n5,n5)
& n0 = succ(n10)
& n2 = sum(n3,n10)
& n4 = sum(n5,n10)
& n4 != sK1
& n8 = sum(n0,n8)
& n1 != n7
& n2 != n9
& n4 = sum(n10,n5)
& n7 = sum(n9,n9)
& n1 = sum(n2,n10)
& succ(n3) = n4
& n3 = sum(n1,n2)
& n6 = sum(n10,n7)
& n10 = pred(n0)
& n9 = pred(n10)
& n6 != n10
& n0 != n8
& n9 = sum(n8,n1)
& n5 = sum(n1,n4)
& n0 = sum(n1,n10)
& n0 = sum(n10,n1)
& n5 != n9
& n8 = sum(n9,n10)
& n1 != n3
& n7 = sum(n1,n6)
& n1 = sum(n7,n5)
& n2 = sum(n10,n3)
& ( n9 = sK2
| n3 = sK2
| n4 = sK2
| n10 = sK2
| n1 = sK2
| n0 = sK2
| n6 = sK2
| n2 = sK2
| n7 = sK2
| n5 = sK2
| n8 = sK2 )
& n0 != n3
& n0 != n9
& n6 = sum(n5,n1)
& n1 = sum(n0,n1)
& n7 = sum(n3,n4)
& n3 = sum(n9,n5)
& n3 = sum(n6,n8)
& n9 = sum(n2,n7)
& n2 = pred(n3)
& n3 != sK1
& n4 != n10
& n1 = sum(n6,n6)
& n2 != n7
& n1 != n9
& n1 = sum(n8,n4)
& n10 != sK1
& n0 != n2
& n1 != sK1
& n0 = sum(n9,n2)
& n1 = sum(n4,n8)
& n1 != n4
& n8 = pred(n9)
& n8 = sum(n10,n9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f3,f4]) ).
fof(f4,plain,
( ? [X0,X1,X2] :
( n2 != n4
& n8 = sum(n5,n3)
& n5 != n7
& n4 = sum(n8,n7)
& n8 != X1
& n2 != n10
& n10 = sum(n0,n10)
& n1 != n8
& n6 = pred(n7)
& n5 = sum(n7,n9)
& n2 = sum(n9,n4)
& n0 = sum(n7,n4)
& n5 = sum(n8,n8)
& sum(pred(sum(X2,succ(X0))),sum(X0,pred(sum(X2,X0)))) = X1
& n4 = sum(n1,n3)
& n9 = sum(n7,n2)
& n3 = sum(n5,n9)
& n0 = sum(n5,n6)
& n5 = sum(n9,n7)
& n4 = sum(n0,n4)
& n3 != n5
& n2 != n3
& n9 = sum(n0,n9)
& n3 != n4
& n0 != n6
& n4 != n7
& n3 = sum(n0,n3)
& n6 != n9
& n6 = sum(n6,n0)
& succ(n9) = n10
& n6 = sum(n3,n3)
& n4 = sum(n2,n2)
& n1 = sum(n10,n2)
& n8 = sum(n7,n1)
& n1 != n5
& n0 = pred(n1)
& n0 = sum(n4,n7)
& n8 != n9
& n7 = sum(n2,n5)
& n5 != X1
& n2 = sum(n6,n7)
& n0 = sum(n6,n5)
& n8 = sum(n4,n4)
& n2 = sum(n7,n6)
& n6 != n7
& n4 = sum(n9,n6)
& n8 = sum(n8,n0)
& n4 != n5
& n9 = sum(n9,n0)
& n9 = sum(n10,n10)
& n3 != n7
& n8 = sum(n1,n7)
& n7 = sum(n8,n10)
& n7 = pred(n8)
& n1 = pred(n2)
& n2 = sum(n8,n5)
& n3 = sum(n8,n6)
& n3 != n8
& n9 = sum(n6,n3)
& n9 = sum(n1,n8)
& n5 = sum(n5,n0)
& n6 = sum(n9,n8)
& n3 != n10
& n10 = sum(n8,n2)
& succ(n2) = n3
& n10 = sum(n3,n7)
& n2 != n5
& n6 != n8
& n8 = sum(n2,n6)
& n3 = sum(n2,n1)
& n7 = sum(n0,n7)
& n8 != n10
& n9 != n10
& n0 != n1
& n9 = sum(n5,n4)
& n0 = sum(n2,n9)
& n10 = sum(n7,n3)
& succ(n5) = n6
& n8 = sum(n3,n5)
& n1 != n6
& n3 = sum(n3,n0)
& n5 = sum(n0,n5)
& n1 = sum(n9,n3)
& n1 = sum(n1,n0)
& n7 != n10
& n8 = sum(n6,n2)
& n1 = sum(n3,n9)
& n3 = sum(n7,n7)
& n4 = sum(n3,n1)
& n5 = sum(n10,n6)
& succ(n4) = n5
& succ(n6) = n7
& n5 = pred(n6)
& n5 = sum(n3,n2)
& n4 = pred(n5)
& n3 = pred(n4)
& n0 != n10
& n7 != X1
& n2 = sum(n0,n2)
& n10 = sum(n9,n1)
& succ(n8) = n9
& n2 = sum(n1,n1)
& n5 = sum(n4,n1)
& n5 = sum(n6,n10)
& n2 = sum(n2,n0)
& n6 = sum(n0,n6)
& n0 = sum(n3,n8)
& n3 = sum(n4,n10)
& n0 != n7
& n0 != X1
& n7 = sum(n4,n3)
& n1 = sum(n5,n7)
& n9 != X1
& n7 != n8
& n5 != n6
& n7 = sum(n6,n1)
& n6 != X1
& ( n8 = X0
| n1 = X0
| n2 = X0
| n5 = X0
| n9 = X0
| n3 = X0
| n7 = X0
| n0 = X0
| n4 = X0
| n6 = X0
| n10 = X0 )
& n0 != n5
& n4 = sum(n6,n9)
& n2 != n8
& n5 = sum(n2,n3)
& n7 = sum(n10,n8)
& n0 != n4
& n6 = sum(n2,n4)
& n7 = sum(n7,n0)
& n4 != n9
& n3 = sum(n10,n4)
& n0 = sum(n8,n3)
& n2 != n6
& n10 = sum(n6,n4)
& succ(n1) = n2
& n10 = sum(n10,n0)
& n7 != n9
& n6 = sum(n1,n5)
& n7 = sum(n5,n2)
& n10 = sum(n2,n8)
& n2 = sum(n4,n9)
& succ(n7) = n8
& n5 != n8
& n3 != n9
& n4 = sum(n7,n8)
& n10 = sum(n4,n6)
& n2 != X1
& n9 = sum(n3,n6)
& n10 = sum(n1,n9)
& n4 != n8
& n6 = sum(n7,n10)
& n9 = sum(n4,n5)
& n2 = sum(n5,n8)
& n1 != n2
& n4 = sum(n4,n0)
& n5 != n10
& n0 = sum(n0,n0)
& n4 != n6
& n3 != n6
& n1 != n10
& n6 = sum(n8,n9)
& n6 = sum(n4,n2)
& succ(n0) = n1
& n10 = sum(n5,n5)
& n0 = succ(n10)
& n2 = sum(n3,n10)
& n4 = sum(n5,n10)
& n4 != X1
& n8 = sum(n0,n8)
& n1 != n7
& n2 != n9
& n4 = sum(n10,n5)
& n7 = sum(n9,n9)
& n1 = sum(n2,n10)
& succ(n3) = n4
& n3 = sum(n1,n2)
& n6 = sum(n10,n7)
& n10 = pred(n0)
& n9 = pred(n10)
& n6 != n10
& n0 != n8
& n9 = sum(n8,n1)
& n5 = sum(n1,n4)
& n0 = sum(n1,n10)
& n0 = sum(n10,n1)
& n5 != n9
& n8 = sum(n9,n10)
& n1 != n3
& n7 = sum(n1,n6)
& n1 = sum(n7,n5)
& n2 = sum(n10,n3)
& ( n9 = X2
| n3 = X2
| n4 = X2
| n10 = X2
| n1 = X2
| n0 = X2
| n6 = X2
| n2 = X2
| n7 = X2
| n5 = X2
| n8 = X2 )
& n0 != n3
& n0 != n9
& n6 = sum(n5,n1)
& n1 = sum(n0,n1)
& n7 = sum(n3,n4)
& n3 = sum(n9,n5)
& n3 = sum(n6,n8)
& n9 = sum(n2,n7)
& n2 = pred(n3)
& n3 != X1
& n4 != n10
& n1 = sum(n6,n6)
& n2 != n7
& n1 != n9
& n1 = sum(n8,n4)
& n10 != X1
& n0 != n2
& n1 != X1
& n0 = sum(n9,n2)
& n1 = sum(n4,n8)
& n1 != n4
& n8 = pred(n9)
& n8 = sum(n10,n9) )
=> ( n2 != n4
& n8 = sum(n5,n3)
& n5 != n7
& n4 = sum(n8,n7)
& n8 != sK1
& n2 != n10
& n10 = sum(n0,n10)
& n1 != n8
& n6 = pred(n7)
& n5 = sum(n7,n9)
& n2 = sum(n9,n4)
& n0 = sum(n7,n4)
& n5 = sum(n8,n8)
& sum(pred(sum(sK2,succ(sK0))),sum(sK0,pred(sum(sK2,sK0)))) = sK1
& n4 = sum(n1,n3)
& n9 = sum(n7,n2)
& n3 = sum(n5,n9)
& n0 = sum(n5,n6)
& n5 = sum(n9,n7)
& n4 = sum(n0,n4)
& n3 != n5
& n2 != n3
& n9 = sum(n0,n9)
& n3 != n4
& n0 != n6
& n4 != n7
& n3 = sum(n0,n3)
& n6 != n9
& n6 = sum(n6,n0)
& succ(n9) = n10
& n6 = sum(n3,n3)
& n4 = sum(n2,n2)
& n1 = sum(n10,n2)
& n8 = sum(n7,n1)
& n1 != n5
& n0 = pred(n1)
& n0 = sum(n4,n7)
& n8 != n9
& n7 = sum(n2,n5)
& n5 != sK1
& n2 = sum(n6,n7)
& n0 = sum(n6,n5)
& n8 = sum(n4,n4)
& n2 = sum(n7,n6)
& n6 != n7
& n4 = sum(n9,n6)
& n8 = sum(n8,n0)
& n4 != n5
& n9 = sum(n9,n0)
& n9 = sum(n10,n10)
& n3 != n7
& n8 = sum(n1,n7)
& n7 = sum(n8,n10)
& n7 = pred(n8)
& n1 = pred(n2)
& n2 = sum(n8,n5)
& n3 = sum(n8,n6)
& n3 != n8
& n9 = sum(n6,n3)
& n9 = sum(n1,n8)
& n5 = sum(n5,n0)
& n6 = sum(n9,n8)
& n3 != n10
& n10 = sum(n8,n2)
& succ(n2) = n3
& n10 = sum(n3,n7)
& n2 != n5
& n6 != n8
& n8 = sum(n2,n6)
& n3 = sum(n2,n1)
& n7 = sum(n0,n7)
& n8 != n10
& n9 != n10
& n0 != n1
& n9 = sum(n5,n4)
& n0 = sum(n2,n9)
& n10 = sum(n7,n3)
& succ(n5) = n6
& n8 = sum(n3,n5)
& n1 != n6
& n3 = sum(n3,n0)
& n5 = sum(n0,n5)
& n1 = sum(n9,n3)
& n1 = sum(n1,n0)
& n7 != n10
& n8 = sum(n6,n2)
& n1 = sum(n3,n9)
& n3 = sum(n7,n7)
& n4 = sum(n3,n1)
& n5 = sum(n10,n6)
& succ(n4) = n5
& succ(n6) = n7
& n5 = pred(n6)
& n5 = sum(n3,n2)
& n4 = pred(n5)
& n3 = pred(n4)
& n0 != n10
& n7 != sK1
& n2 = sum(n0,n2)
& n10 = sum(n9,n1)
& succ(n8) = n9
& n2 = sum(n1,n1)
& n5 = sum(n4,n1)
& n5 = sum(n6,n10)
& n2 = sum(n2,n0)
& n6 = sum(n0,n6)
& n0 = sum(n3,n8)
& n3 = sum(n4,n10)
& n0 != n7
& n0 != sK1
& n7 = sum(n4,n3)
& n1 = sum(n5,n7)
& n9 != sK1
& n7 != n8
& n5 != n6
& n7 = sum(n6,n1)
& n6 != sK1
& ( n8 = sK0
| n1 = sK0
| n2 = sK0
| n5 = sK0
| n9 = sK0
| n3 = sK0
| n7 = sK0
| n0 = sK0
| n4 = sK0
| n6 = sK0
| n10 = sK0 )
& n0 != n5
& n4 = sum(n6,n9)
& n2 != n8
& n5 = sum(n2,n3)
& n7 = sum(n10,n8)
& n0 != n4
& n6 = sum(n2,n4)
& n7 = sum(n7,n0)
& n4 != n9
& n3 = sum(n10,n4)
& n0 = sum(n8,n3)
& n2 != n6
& n10 = sum(n6,n4)
& succ(n1) = n2
& n10 = sum(n10,n0)
& n7 != n9
& n6 = sum(n1,n5)
& n7 = sum(n5,n2)
& n10 = sum(n2,n8)
& n2 = sum(n4,n9)
& succ(n7) = n8
& n5 != n8
& n3 != n9
& n4 = sum(n7,n8)
& n10 = sum(n4,n6)
& n2 != sK1
& n9 = sum(n3,n6)
& n10 = sum(n1,n9)
& n4 != n8
& n6 = sum(n7,n10)
& n9 = sum(n4,n5)
& n2 = sum(n5,n8)
& n1 != n2
& n4 = sum(n4,n0)
& n5 != n10
& n0 = sum(n0,n0)
& n4 != n6
& n3 != n6
& n1 != n10
& n6 = sum(n8,n9)
& n6 = sum(n4,n2)
& succ(n0) = n1
& n10 = sum(n5,n5)
& n0 = succ(n10)
& n2 = sum(n3,n10)
& n4 = sum(n5,n10)
& n4 != sK1
& n8 = sum(n0,n8)
& n1 != n7
& n2 != n9
& n4 = sum(n10,n5)
& n7 = sum(n9,n9)
& n1 = sum(n2,n10)
& succ(n3) = n4
& n3 = sum(n1,n2)
& n6 = sum(n10,n7)
& n10 = pred(n0)
& n9 = pred(n10)
& n6 != n10
& n0 != n8
& n9 = sum(n8,n1)
& n5 = sum(n1,n4)
& n0 = sum(n1,n10)
& n0 = sum(n10,n1)
& n5 != n9
& n8 = sum(n9,n10)
& n1 != n3
& n7 = sum(n1,n6)
& n1 = sum(n7,n5)
& n2 = sum(n10,n3)
& ( n9 = sK2
| n3 = sK2
| n4 = sK2
| n10 = sK2
| n1 = sK2
| n0 = sK2
| n6 = sK2
| n2 = sK2
| n7 = sK2
| n5 = sK2
| n8 = sK2 )
& n0 != n3
& n0 != n9
& n6 = sum(n5,n1)
& n1 = sum(n0,n1)
& n7 = sum(n3,n4)
& n3 = sum(n9,n5)
& n3 = sum(n6,n8)
& n9 = sum(n2,n7)
& n2 = pred(n3)
& n3 != sK1
& n4 != n10
& n1 = sum(n6,n6)
& n2 != n7
& n1 != n9
& n1 = sum(n8,n4)
& n10 != sK1
& n0 != n2
& n1 != sK1
& n0 = sum(n9,n2)
& n1 = sum(n4,n8)
& n1 != n4
& n8 = pred(n9)
& n8 = sum(n10,n9) ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
? [X0,X1,X2] :
( n2 != n4
& n8 = sum(n5,n3)
& n5 != n7
& n4 = sum(n8,n7)
& n8 != X1
& n2 != n10
& n10 = sum(n0,n10)
& n1 != n8
& n6 = pred(n7)
& n5 = sum(n7,n9)
& n2 = sum(n9,n4)
& n0 = sum(n7,n4)
& n5 = sum(n8,n8)
& sum(pred(sum(X2,succ(X0))),sum(X0,pred(sum(X2,X0)))) = X1
& n4 = sum(n1,n3)
& n9 = sum(n7,n2)
& n3 = sum(n5,n9)
& n0 = sum(n5,n6)
& n5 = sum(n9,n7)
& n4 = sum(n0,n4)
& n3 != n5
& n2 != n3
& n9 = sum(n0,n9)
& n3 != n4
& n0 != n6
& n4 != n7
& n3 = sum(n0,n3)
& n6 != n9
& n6 = sum(n6,n0)
& succ(n9) = n10
& n6 = sum(n3,n3)
& n4 = sum(n2,n2)
& n1 = sum(n10,n2)
& n8 = sum(n7,n1)
& n1 != n5
& n0 = pred(n1)
& n0 = sum(n4,n7)
& n8 != n9
& n7 = sum(n2,n5)
& n5 != X1
& n2 = sum(n6,n7)
& n0 = sum(n6,n5)
& n8 = sum(n4,n4)
& n2 = sum(n7,n6)
& n6 != n7
& n4 = sum(n9,n6)
& n8 = sum(n8,n0)
& n4 != n5
& n9 = sum(n9,n0)
& n9 = sum(n10,n10)
& n3 != n7
& n8 = sum(n1,n7)
& n7 = sum(n8,n10)
& n7 = pred(n8)
& n1 = pred(n2)
& n2 = sum(n8,n5)
& n3 = sum(n8,n6)
& n3 != n8
& n9 = sum(n6,n3)
& n9 = sum(n1,n8)
& n5 = sum(n5,n0)
& n6 = sum(n9,n8)
& n3 != n10
& n10 = sum(n8,n2)
& succ(n2) = n3
& n10 = sum(n3,n7)
& n2 != n5
& n6 != n8
& n8 = sum(n2,n6)
& n3 = sum(n2,n1)
& n7 = sum(n0,n7)
& n8 != n10
& n9 != n10
& n0 != n1
& n9 = sum(n5,n4)
& n0 = sum(n2,n9)
& n10 = sum(n7,n3)
& succ(n5) = n6
& n8 = sum(n3,n5)
& n1 != n6
& n3 = sum(n3,n0)
& n5 = sum(n0,n5)
& n1 = sum(n9,n3)
& n1 = sum(n1,n0)
& n7 != n10
& n8 = sum(n6,n2)
& n1 = sum(n3,n9)
& n3 = sum(n7,n7)
& n4 = sum(n3,n1)
& n5 = sum(n10,n6)
& succ(n4) = n5
& succ(n6) = n7
& n5 = pred(n6)
& n5 = sum(n3,n2)
& n4 = pred(n5)
& n3 = pred(n4)
& n0 != n10
& n7 != X1
& n2 = sum(n0,n2)
& n10 = sum(n9,n1)
& succ(n8) = n9
& n2 = sum(n1,n1)
& n5 = sum(n4,n1)
& n5 = sum(n6,n10)
& n2 = sum(n2,n0)
& n6 = sum(n0,n6)
& n0 = sum(n3,n8)
& n3 = sum(n4,n10)
& n0 != n7
& n0 != X1
& n7 = sum(n4,n3)
& n1 = sum(n5,n7)
& n9 != X1
& n7 != n8
& n5 != n6
& n7 = sum(n6,n1)
& n6 != X1
& ( n8 = X0
| n1 = X0
| n2 = X0
| n5 = X0
| n9 = X0
| n3 = X0
| n7 = X0
| n0 = X0
| n4 = X0
| n6 = X0
| n10 = X0 )
& n0 != n5
& n4 = sum(n6,n9)
& n2 != n8
& n5 = sum(n2,n3)
& n7 = sum(n10,n8)
& n0 != n4
& n6 = sum(n2,n4)
& n7 = sum(n7,n0)
& n4 != n9
& n3 = sum(n10,n4)
& n0 = sum(n8,n3)
& n2 != n6
& n10 = sum(n6,n4)
& succ(n1) = n2
& n10 = sum(n10,n0)
& n7 != n9
& n6 = sum(n1,n5)
& n7 = sum(n5,n2)
& n10 = sum(n2,n8)
& n2 = sum(n4,n9)
& succ(n7) = n8
& n5 != n8
& n3 != n9
& n4 = sum(n7,n8)
& n10 = sum(n4,n6)
& n2 != X1
& n9 = sum(n3,n6)
& n10 = sum(n1,n9)
& n4 != n8
& n6 = sum(n7,n10)
& n9 = sum(n4,n5)
& n2 = sum(n5,n8)
& n1 != n2
& n4 = sum(n4,n0)
& n5 != n10
& n0 = sum(n0,n0)
& n4 != n6
& n3 != n6
& n1 != n10
& n6 = sum(n8,n9)
& n6 = sum(n4,n2)
& succ(n0) = n1
& n10 = sum(n5,n5)
& n0 = succ(n10)
& n2 = sum(n3,n10)
& n4 = sum(n5,n10)
& n4 != X1
& n8 = sum(n0,n8)
& n1 != n7
& n2 != n9
& n4 = sum(n10,n5)
& n7 = sum(n9,n9)
& n1 = sum(n2,n10)
& succ(n3) = n4
& n3 = sum(n1,n2)
& n6 = sum(n10,n7)
& n10 = pred(n0)
& n9 = pred(n10)
& n6 != n10
& n0 != n8
& n9 = sum(n8,n1)
& n5 = sum(n1,n4)
& n0 = sum(n1,n10)
& n0 = sum(n10,n1)
& n5 != n9
& n8 = sum(n9,n10)
& n1 != n3
& n7 = sum(n1,n6)
& n1 = sum(n7,n5)
& n2 = sum(n10,n3)
& ( n9 = X2
| n3 = X2
| n4 = X2
| n10 = X2
| n1 = X2
| n0 = X2
| n6 = X2
| n2 = X2
| n7 = X2
| n5 = X2
| n8 = X2 )
& n0 != n3
& n0 != n9
& n6 = sum(n5,n1)
& n1 = sum(n0,n1)
& n7 = sum(n3,n4)
& n3 = sum(n9,n5)
& n3 = sum(n6,n8)
& n9 = sum(n2,n7)
& n2 = pred(n3)
& n3 != X1
& n4 != n10
& n1 = sum(n6,n6)
& n2 != n7
& n1 != n9
& n1 = sum(n8,n4)
& n10 != X1
& n0 != n2
& n1 != X1
& n0 = sum(n9,n2)
& n1 = sum(n4,n8)
& n1 != n4
& n8 = pred(n9)
& n8 = sum(n10,n9) ),
inference(rectify,[],[f2]) ).
fof(f2,plain,
? [X0,X2,X1] :
( n2 != n4
& n8 = sum(n5,n3)
& n5 != n7
& n4 = sum(n8,n7)
& n8 != X2
& n2 != n10
& n10 = sum(n0,n10)
& n1 != n8
& n6 = pred(n7)
& n5 = sum(n7,n9)
& n2 = sum(n9,n4)
& n0 = sum(n7,n4)
& n5 = sum(n8,n8)
& sum(pred(sum(X1,succ(X0))),sum(X0,pred(sum(X1,X0)))) = X2
& n4 = sum(n1,n3)
& n9 = sum(n7,n2)
& n3 = sum(n5,n9)
& n0 = sum(n5,n6)
& n5 = sum(n9,n7)
& n4 = sum(n0,n4)
& n3 != n5
& n2 != n3
& n9 = sum(n0,n9)
& n3 != n4
& n0 != n6
& n4 != n7
& n3 = sum(n0,n3)
& n6 != n9
& n6 = sum(n6,n0)
& succ(n9) = n10
& n6 = sum(n3,n3)
& n4 = sum(n2,n2)
& n1 = sum(n10,n2)
& n8 = sum(n7,n1)
& n1 != n5
& n0 = pred(n1)
& n0 = sum(n4,n7)
& n8 != n9
& n7 = sum(n2,n5)
& n5 != X2
& n2 = sum(n6,n7)
& n0 = sum(n6,n5)
& n8 = sum(n4,n4)
& n2 = sum(n7,n6)
& n6 != n7
& n4 = sum(n9,n6)
& n8 = sum(n8,n0)
& n4 != n5
& n9 = sum(n9,n0)
& n9 = sum(n10,n10)
& n3 != n7
& n8 = sum(n1,n7)
& n7 = sum(n8,n10)
& n7 = pred(n8)
& n1 = pred(n2)
& n2 = sum(n8,n5)
& n3 = sum(n8,n6)
& n3 != n8
& n9 = sum(n6,n3)
& n9 = sum(n1,n8)
& n5 = sum(n5,n0)
& n6 = sum(n9,n8)
& n3 != n10
& n10 = sum(n8,n2)
& succ(n2) = n3
& n10 = sum(n3,n7)
& n2 != n5
& n6 != n8
& n8 = sum(n2,n6)
& n3 = sum(n2,n1)
& n7 = sum(n0,n7)
& n8 != n10
& n9 != n10
& n0 != n1
& n9 = sum(n5,n4)
& n0 = sum(n2,n9)
& n10 = sum(n7,n3)
& succ(n5) = n6
& n8 = sum(n3,n5)
& n1 != n6
& n3 = sum(n3,n0)
& n5 = sum(n0,n5)
& n1 = sum(n9,n3)
& n1 = sum(n1,n0)
& n7 != n10
& n8 = sum(n6,n2)
& n1 = sum(n3,n9)
& n3 = sum(n7,n7)
& n4 = sum(n3,n1)
& n5 = sum(n10,n6)
& succ(n4) = n5
& succ(n6) = n7
& n5 = pred(n6)
& n5 = sum(n3,n2)
& n4 = pred(n5)
& n3 = pred(n4)
& n0 != n10
& n7 != X2
& n2 = sum(n0,n2)
& n10 = sum(n9,n1)
& succ(n8) = n9
& n2 = sum(n1,n1)
& n5 = sum(n4,n1)
& n5 = sum(n6,n10)
& n2 = sum(n2,n0)
& n6 = sum(n0,n6)
& n0 = sum(n3,n8)
& n3 = sum(n4,n10)
& n0 != n7
& n0 != X2
& n7 = sum(n4,n3)
& n1 = sum(n5,n7)
& n9 != X2
& n7 != n8
& n5 != n6
& n7 = sum(n6,n1)
& n6 != X2
& ( n8 = X0
| n1 = X0
| n2 = X0
| n5 = X0
| n9 = X0
| n3 = X0
| n7 = X0
| n0 = X0
| n4 = X0
| n6 = X0
| n10 = X0 )
& n0 != n5
& n4 = sum(n6,n9)
& n2 != n8
& n5 = sum(n2,n3)
& n7 = sum(n10,n8)
& n0 != n4
& n6 = sum(n2,n4)
& n7 = sum(n7,n0)
& n4 != n9
& n3 = sum(n10,n4)
& n0 = sum(n8,n3)
& n2 != n6
& n10 = sum(n6,n4)
& succ(n1) = n2
& n10 = sum(n10,n0)
& n7 != n9
& n6 = sum(n1,n5)
& n7 = sum(n5,n2)
& n10 = sum(n2,n8)
& n2 = sum(n4,n9)
& succ(n7) = n8
& n5 != n8
& n3 != n9
& n4 = sum(n7,n8)
& n10 = sum(n4,n6)
& n2 != X2
& n9 = sum(n3,n6)
& n10 = sum(n1,n9)
& n4 != n8
& n6 = sum(n7,n10)
& n9 = sum(n4,n5)
& n2 = sum(n5,n8)
& n1 != n2
& n4 = sum(n4,n0)
& n5 != n10
& n0 = sum(n0,n0)
& n4 != n6
& n3 != n6
& n1 != n10
& n6 = sum(n8,n9)
& n6 = sum(n4,n2)
& succ(n0) = n1
& n10 = sum(n5,n5)
& n0 = succ(n10)
& n2 = sum(n3,n10)
& n4 = sum(n5,n10)
& n4 != X2
& n8 = sum(n0,n8)
& n1 != n7
& n2 != n9
& n4 = sum(n10,n5)
& n7 = sum(n9,n9)
& n1 = sum(n2,n10)
& succ(n3) = n4
& n3 = sum(n1,n2)
& n6 = sum(n10,n7)
& n10 = pred(n0)
& n9 = pred(n10)
& n6 != n10
& n0 != n8
& n9 = sum(n8,n1)
& n5 = sum(n1,n4)
& n0 = sum(n1,n10)
& n0 = sum(n10,n1)
& n5 != n9
& n8 = sum(n9,n10)
& n1 != n3
& n7 = sum(n1,n6)
& n1 = sum(n7,n5)
& n2 = sum(n10,n3)
& ( n9 = X1
| n3 = X1
| n4 = X1
| n10 = X1
| n1 = X1
| n0 = X1
| n6 = X1
| n2 = X1
| n7 = X1
| n5 = X1
| n8 = X1 )
& n0 != n3
& n0 != n9
& n6 = sum(n5,n1)
& n1 = sum(n0,n1)
& n7 = sum(n3,n4)
& n3 = sum(n9,n5)
& n3 = sum(n6,n8)
& n9 = sum(n2,n7)
& n2 = pred(n3)
& n3 != X2
& n4 != n10
& n1 = sum(n6,n6)
& n2 != n7
& n1 != n9
& n1 = sum(n8,n4)
& n10 != X2
& n0 != n2
& n1 != X2
& n0 = sum(n9,n2)
& n1 = sum(n4,n8)
& n1 != n4
& n8 = pred(n9)
& n8 = sum(n10,n9) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
? [X1,X0,X2] :
( n1 != n8
& n9 = sum(n1,n8)
& succ(n2) = n3
& n4 != n8
& n9 = pred(n10)
& n4 != X2
& n6 = sum(n8,n9)
& succ(n4) = n5
& n8 = pred(n9)
& succ(n8) = n9
& n5 != X2
& succ(n5) = n6
& n0 = sum(n7,n4)
& n9 = sum(n0,n9)
& n3 != n6
& n6 = sum(n3,n3)
& ( n8 = X0
| n10 = X0
| n9 = X0
| n1 = X0
| n7 = X0
| n2 = X0
| n5 = X0
| n4 = X0
| n0 = X0
| n3 = X0
| n6 = X0 )
& n1 != n7
& n9 != n10
& n2 != n9
& n6 != n10
& n0 != n6
& n9 = sum(n8,n1)
& n3 != n7
& n7 != n10
& n4 = sum(n6,n9)
& n2 != X2
& n0 = sum(n2,n9)
& n4 = pred(n5)
& n6 = sum(n1,n5)
& n2 != n5
& n8 = sum(n9,n10)
& n10 = sum(n8,n2)
& succ(n7) = n8
& n1 = sum(n2,n10)
& n6 != n7
& n8 = sum(n5,n3)
& n0 != n3
& n2 != n3
& n0 = pred(n1)
& n3 != n8
& n7 = sum(n3,n4)
& n2 = sum(n5,n8)
& n10 = sum(n5,n5)
& n8 != n9
& succ(n6) = n7
& n1 != n2
& n0 = sum(n5,n6)
& n10 = sum(n10,n0)
& n0 != n10
& n1 != n5
& n7 = sum(n7,n0)
& n0 != n9
& n3 = sum(n10,n4)
& n3 = sum(n8,n6)
& n1 = sum(n9,n3)
& n5 != n8
& n5 = sum(n3,n2)
& n5 = sum(n7,n9)
& n0 = succ(n10)
& n9 = sum(n4,n5)
& n10 = sum(n6,n4)
& n8 = sum(n6,n2)
& n3 = sum(n5,n9)
& n0 != X2
& n10 = sum(n7,n3)
& n7 = sum(n6,n1)
& n3 = sum(n7,n7)
& n4 != n6
& n4 != n10
& succ(n0) = n1
& n0 = sum(n8,n3)
& n4 = sum(n7,n8)
& n3 = pred(n4)
& n5 != n6
& n1 != n10
& n10 = sum(n4,n6)
& n0 != n7
& n0 = sum(n3,n8)
& n6 = sum(n10,n7)
& n2 = pred(n3)
& n4 != n9
& n7 = sum(n8,n10)
& n2 = sum(n8,n5)
& n7 = sum(n1,n6)
& n5 = sum(n0,n5)
& n8 = sum(n8,n0)
& n8 = sum(n1,n7)
& n6 = sum(n0,n6)
& n2 != n8
& n5 != n9
& n4 = sum(n5,n10)
& n7 = sum(n5,n2)
& n0 = sum(n9,n2)
& n5 = sum(n10,n6)
& succ(n3) = n4
& n0 != n8
& n1 = sum(n10,n2)
& n1 = pred(n2)
& n7 = sum(n10,n8)
& n10 = sum(n2,n8)
& n6 = sum(n4,n2)
& n2 != n6
& n3 = sum(n9,n5)
& n5 = sum(n5,n0)
& n8 != n10
& n9 = sum(n3,n6)
& n5 = sum(n6,n10)
& n3 != n9
& n2 = sum(n1,n1)
& n0 != n2
& n3 != n5
& n8 = sum(n4,n4)
& n1 != X2
& n9 = sum(n6,n3)
& n10 = sum(n9,n1)
& n1 != n9
& n1 = sum(n1,n0)
& n4 = sum(n8,n7)
& n10 != X2
& sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1)))) = X2
& n1 != n6
& n10 = pred(n0)
& n8 = sum(n2,n6)
& n4 = sum(n2,n2)
& n6 = sum(n2,n4)
& n5 != n10
& n8 = sum(n0,n8)
& n7 != n8
& n3 = sum(n3,n0)
& n6 != n9
& n0 = sum(n0,n0)
& n6 = sum(n5,n1)
& n1 = sum(n5,n7)
& n0 = sum(n1,n10)
& n1 = sum(n7,n5)
& succ(n9) = n10
& n1 = sum(n8,n4)
& n4 = sum(n3,n1)
& n4 = sum(n0,n4)
& n3 = sum(n1,n2)
& n1 = sum(n3,n9)
& n5 = sum(n2,n3)
& n5 = pred(n6)
& n9 = sum(n7,n2)
& n9 != X2
& n9 = sum(n9,n0)
& n7 = pred(n8)
& n1 != n4
& n0 != n4
& n6 = sum(n6,n0)
& n10 = sum(n3,n7)
& n4 = sum(n9,n6)
& n3 != n10
& n5 != n7
& n0 != n1
& n1 != n3
& n2 = sum(n10,n3)
& n8 = sum(n10,n9)
& n2 != n7
& n7 = sum(n9,n9)
& n6 = pred(n7)
& n9 = sum(n10,n10)
& n2 = sum(n3,n10)
& n6 = sum(n7,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n9 = sum(n5,n4)
& n7 != n9
& n7 = sum(n2,n5)
& n1 = sum(n6,n6)
& n2 != n4
& succ(n1) = n2
& n4 = sum(n10,n5)
& n4 != n7
& n7 = sum(n0,n7)
& n2 = sum(n9,n4)
& n3 = sum(n6,n8)
& ( n1 = X1
| n0 = X1
| n9 = X1
| n3 = X1
| n2 = X1
| n10 = X1
| n5 = X1
| n7 = X1
| n6 = X1
| n4 = X1
| n8 = X1 )
& n3 != n4
& n2 = sum(n0,n2)
& n6 != n8
& n2 = sum(n2,n0)
& n8 = sum(n7,n1)
& n4 = sum(n1,n3)
& n8 != X2
& n0 != n5
& n5 = sum(n1,n4)
& n0 = sum(n6,n5)
& n3 = sum(n2,n1)
& n3 = sum(n0,n3)
& n4 = sum(n4,n0)
& n2 != n10
& n1 = sum(n0,n1)
& n5 = sum(n8,n8)
& n7 = sum(n4,n3)
& n2 = sum(n6,n7)
& n10 = sum(n0,n10)
& n8 = sum(n3,n5)
& n10 = sum(n1,n9)
& n3 != X2
& n2 = sum(n7,n6)
& n0 = sum(n4,n7)
& n7 != X2
& n5 = sum(n4,n1)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n3 = sum(n4,n10)
& n0 = sum(n10,n1)
& n4 != n5
& n6 != X2
& n9 = sum(n2,n7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2505,plain,
( n7 = sK1
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2504,f48]) ).
fof(f48,plain,
n7 = sum(n9,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2504,plain,
( sum(n9,n9) = sK1
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2503,f42]) ).
fof(f42,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2503,plain,
( sum(pred(n10),n9) = sK1
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2502,f154]) ).
fof(f154,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2502,plain,
( sK1 = sum(pred(sum(n8,n2)),n9)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2501,f86]) ).
fof(f86,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f5]) ).
fof(f2501,plain,
( sK1 = sum(pred(sum(n8,succ(n1))),n9)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2500,f158]) ).
fof(f158,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2500,plain,
( sK1 = sum(pred(sum(n8,succ(n1))),sum(n1,n8))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2499,f7]) ).
fof(f7,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2499,plain,
( sK1 = sum(pred(sum(n8,succ(n1))),sum(n1,pred(n9)))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2498,f39]) ).
fof(f39,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2498,plain,
( sK1 = sum(pred(sum(n8,succ(n1))),sum(n1,pred(sum(n8,n1))))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2487,f306]) ).
fof(f306,plain,
( n1 = sK0
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl3_22
<=> n1 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f2487,plain,
( sum(pred(sum(n8,succ(sK0))),sum(sK0,pred(sum(n8,sK0)))) = sK1
| ~ spl3_3 ),
inference(superposition,[],[f204,f229]) ).
fof(f229,plain,
( n8 = sK2
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl3_3
<=> n8 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f204,plain,
sum(pred(sum(sK2,succ(sK0))),sum(sK0,pred(sum(sK2,sK0)))) = sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f2485,plain,
( ~ spl3_3
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2484]) ).
fof(f2484,plain,
( $false
| ~ spl3_3
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2483,f213]) ).
fof(f213,plain,
n8 != sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f2483,plain,
( n8 = sK1
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2482,f149]) ).
fof(f149,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2482,plain,
( sum(n2,n6) = sK1
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2481,f20]) ).
fof(f20,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2481,plain,
( sK1 = sum(pred(n3),n6)
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2480,f161]) ).
fof(f161,plain,
n3 = sum(n8,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2480,plain,
( sum(pred(sum(n8,n6)),n6) = sK1
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2479,f140]) ).
fof(f140,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f5]) ).
fof(f2479,plain,
( sum(pred(sum(n8,succ(n5))),n6) = sK1
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2478,f26]) ).
fof(f26,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2478,plain,
( sK1 = sum(pred(sum(n8,succ(n5))),sum(n5,n1))
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2477,f163]) ).
fof(f163,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2477,plain,
( sK1 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(n2)))
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2476,f162]) ).
fof(f162,plain,
n2 = sum(n8,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f2476,plain,
( sK1 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(sum(n8,n5))))
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2457,f229]) ).
fof(f2457,plain,
( sum(pred(sum(sK2,succ(n5))),sum(n5,pred(sum(sK2,n5)))) = sK1
| ~ spl3_18 ),
inference(superposition,[],[f204,f290]) ).
fof(f290,plain,
( n5 = sK0
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl3_18
<=> n5 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f2475,plain,
( ~ spl3_1
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2474]) ).
fof(f2474,plain,
( $false
| ~ spl3_1
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2473,f178]) ).
fof(f178,plain,
n5 != sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f2473,plain,
( n5 = sK1
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2472,f114]) ).
fof(f114,plain,
n5 = sum(n6,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2472,plain,
( sum(n6,n10) = sK1
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2471,f209]) ).
fof(f209,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2471,plain,
( sum(pred(n7),n10) = sK1
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2470,f32]) ).
fof(f32,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2470,plain,
( sK1 = sum(pred(sum(n1,n6)),n10)
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2469,f140]) ).
fof(f2469,plain,
( sum(pred(sum(n1,succ(n5))),n10) = sK1
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2468,f57]) ).
fof(f57,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f2468,plain,
( sK1 = sum(pred(sum(n1,succ(n5))),sum(n5,n5))
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2467,f125]) ).
fof(f125,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2467,plain,
( sK1 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(n6)))
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2466,f83]) ).
fof(f83,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f2466,plain,
( sum(pred(sum(n1,succ(n5))),sum(n5,pred(sum(n1,n5)))) = sK1
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2457,f221]) ).
fof(f221,plain,
( n1 = sK2
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl3_1
<=> n1 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f2455,plain,
( ~ spl3_1
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2454]) ).
fof(f2454,plain,
( $false
| ~ spl3_1
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2453,f53]) ).
fof(f53,plain,
n4 != sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f2453,plain,
( n4 = sK1
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2452,f186]) ).
fof(f186,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2452,plain,
( sum(n2,n2) = sK1
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2451,f20]) ).
fof(f2451,plain,
( sum(pred(n3),n2) = sK1
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2450,f45]) ).
fof(f45,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2450,plain,
( sum(pred(sum(n1,n2)),n2) = sK1
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2449,f86]) ).
fof(f2449,plain,
( sK1 = sum(pred(sum(n1,succ(n1))),n2)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2448,f116]) ).
fof(f116,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2448,plain,
( sK1 = sum(pred(sum(n1,succ(n1))),sum(n1,n1))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2447,f163]) ).
fof(f2447,plain,
( sK1 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(n2)))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2446,f116]) ).
fof(f2446,plain,
( sK1 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(sum(n1,n1))))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2437,f306]) ).
fof(f2437,plain,
( sK1 = sum(pred(sum(n1,succ(sK0))),sum(sK0,pred(sum(n1,sK0))))
| ~ spl3_1 ),
inference(superposition,[],[f204,f221]) ).
fof(f2435,plain,
( ~ spl3_3
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2434]) ).
fof(f2434,plain,
( $false
| ~ spl3_3
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f2433,f178]) ).
fof(f2433,plain,
( n5 = sK1
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2432,f38]) ).
fof(f38,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2432,plain,
( sum(n1,n4) = sK1
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2431,f163]) ).
fof(f2431,plain,
( sum(pred(n2),n4) = sK1
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2430,f162]) ).
fof(f2430,plain,
( sK1 = sum(pred(sum(n8,n5)),n4)
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2429,f127]) ).
fof(f127,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f5]) ).
fof(f2429,plain,
( sK1 = sum(pred(sum(n8,succ(n4))),n4)
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2428,f66]) ).
fof(f66,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2428,plain,
( sK1 = sum(pred(sum(n8,succ(n4))),sum(n4,n0))
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2427,f182]) ).
fof(f182,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2427,plain,
( sum(pred(sum(n8,succ(n4))),sum(n4,pred(n1))) = sK1
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2426,f14]) ).
fof(f14,plain,
n1 = sum(n8,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2426,plain,
( sK1 = sum(pred(sum(n8,succ(n4))),sum(n4,pred(sum(n8,n4))))
| ~ spl3_3
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2416,f270]) ).
fof(f270,plain,
( n4 = sK0
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl3_13
<=> n4 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f2416,plain,
( sum(pred(sum(n8,succ(sK0))),sum(sK0,pred(sum(n8,sK0)))) = sK1
| ~ spl3_3 ),
inference(superposition,[],[f204,f229]) ).
fof(f2414,plain,
( ~ spl3_1
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2413]) ).
fof(f2413,plain,
( $false
| ~ spl3_1
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f2412,f74]) ).
fof(f74,plain,
n2 != sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f2412,plain,
( n2 = sK1
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2411,f68]) ).
fof(f68,plain,
n2 = sum(n5,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2411,plain,
( sum(n5,n8) = sK1
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2410,f125]) ).
fof(f2410,plain,
( sK1 = sum(pred(n6),n8)
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2409,f83]) ).
fof(f2409,plain,
( sK1 = sum(pred(sum(n1,n5)),n8)
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2408,f127]) ).
fof(f2408,plain,
( sK1 = sum(pred(sum(n1,succ(n4))),n8)
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2407,f175]) ).
fof(f175,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2407,plain,
( sK1 = sum(pred(sum(n1,succ(n4))),sum(n4,n4))
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2406,f123]) ).
fof(f123,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f5]) ).
fof(f2406,plain,
( sK1 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(n5)))
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2405,f38]) ).
fof(f2405,plain,
( sum(pred(sum(n1,succ(n4))),sum(n4,pred(sum(n1,n4)))) = sK1
| ~ spl3_1
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2395,f270]) ).
fof(f2395,plain,
( sK1 = sum(pred(sum(n1,succ(sK0))),sum(sK0,pred(sum(n1,sK0))))
| ~ spl3_1 ),
inference(superposition,[],[f204,f221]) ).
fof(f2393,plain,
( ~ spl3_6
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2392]) ).
fof(f2392,plain,
( $false
| ~ spl3_6
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2391,f11]) ).
fof(f11,plain,
n1 != sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f2391,plain,
( n1 = sK1
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2390,f9]) ).
fof(f9,plain,
n1 = sum(n4,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2390,plain,
( sum(n4,n8) = sK1
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2389,f123]) ).
fof(f2389,plain,
( sK1 = sum(pred(n5),n8)
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2388,f128]) ).
fof(f128,plain,
n5 = sum(n10,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2388,plain,
( sK1 = sum(pred(sum(n10,n6)),n8)
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2387,f140]) ).
fof(f2387,plain,
( sK1 = sum(pred(sum(n10,succ(n5))),n8)
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2386,f216]) ).
fof(f216,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2386,plain,
( sum(pred(sum(n10,succ(n5))),sum(n5,n3)) = sK1
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2385,f122]) ).
fof(f122,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2385,plain,
( sK1 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(n4)))
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2384,f49]) ).
fof(f49,plain,
n4 = sum(n10,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f2384,plain,
( sK1 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(sum(n10,n5))))
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2354,f290]) ).
fof(f2354,plain,
( sum(pred(sum(n10,succ(sK0))),sum(sK0,pred(sum(n10,sK0)))) = sK1
| ~ spl3_6 ),
inference(superposition,[],[f204,f241]) ).
fof(f241,plain,
( n10 = sK2
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl3_6
<=> n10 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f2383,plain,
( ~ spl3_6
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2382]) ).
fof(f2382,plain,
( $false
| ~ spl3_6
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f2381,f105]) ).
fof(f105,plain,
n9 != sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f2381,plain,
( n9 = sK1
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2380,f73]) ).
fof(f73,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2380,plain,
( sum(n3,n6) = sK1
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2379,f122]) ).
fof(f2379,plain,
( sum(pred(n4),n6) = sK1
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2378,f49]) ).
fof(f2378,plain,
( sum(pred(sum(n10,n5)),n6) = sK1
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2377,f127]) ).
fof(f2377,plain,
( sum(pred(sum(n10,succ(n4))),n6) = sK1
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2376,f59]) ).
fof(f59,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2376,plain,
( sK1 = sum(pred(sum(n10,succ(n4))),sum(n4,n2))
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2375,f20]) ).
fof(f2375,plain,
( sK1 = sum(pred(sum(n10,succ(n4))),sum(n4,pred(n3)))
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2374,f90]) ).
fof(f90,plain,
n3 = sum(n10,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2374,plain,
( sK1 = sum(pred(sum(n10,succ(n4))),sum(n4,pred(sum(n10,n4))))
| ~ spl3_6
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2354,f270]) ).
fof(f2373,plain,
( ~ spl3_6
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2372]) ).
fof(f2372,plain,
( $false
| ~ spl3_6
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2371,f108]) ).
fof(f108,plain,
n0 != sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f2371,plain,
( n0 = sK1
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2370,f64]) ).
fof(f64,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2370,plain,
( sum(n0,n0) = sK1
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2369,f182]) ).
fof(f2369,plain,
( sum(pred(n1),n0) = sK1
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2368,f185]) ).
fof(f185,plain,
n1 = sum(n10,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2368,plain,
( sum(pred(sum(n10,n2)),n0) = sK1
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2367,f86]) ).
fof(f2367,plain,
( sK1 = sum(pred(sum(n10,succ(n1))),n0)
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2366,f37]) ).
fof(f37,plain,
n0 = sum(n1,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2366,plain,
( sum(pred(sum(n10,succ(n1))),sum(n1,n10)) = sK1
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2365,f43]) ).
fof(f43,plain,
n10 = pred(n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2365,plain,
( sK1 = sum(pred(sum(n10,succ(n1))),sum(n1,pred(n0)))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2364,f36]) ).
fof(f36,plain,
n0 = sum(n10,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2364,plain,
( sK1 = sum(pred(sum(n10,succ(n1))),sum(n1,pred(sum(n10,n1))))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2354,f306]) ).
fof(f2353,plain,
( ~ spl3_1
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2352]) ).
fof(f2352,plain,
( $false
| ~ spl3_1
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2351,f120]) ).
fof(f2351,plain,
( n7 = sK1
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2350,f24]) ).
fof(f24,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2350,plain,
( sum(n3,n4) = sK1
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2349,f122]) ).
fof(f2349,plain,
( sum(pred(n4),n4) = sK1
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2348,f203]) ).
fof(f203,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2348,plain,
( sK1 = sum(pred(sum(n1,n3)),n4)
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2347,f153]) ).
fof(f153,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f5]) ).
fof(f2347,plain,
( sK1 = sum(pred(sum(n1,succ(n2))),n4)
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2346,f186]) ).
fof(f2346,plain,
( sK1 = sum(pred(sum(n1,succ(n2))),sum(n2,n2))
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2345,f20]) ).
fof(f2345,plain,
( sum(pred(sum(n1,succ(n2))),sum(n2,pred(n3))) = sK1
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2344,f45]) ).
fof(f2344,plain,
( sK1 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(sum(n1,n2))))
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2335,f298]) ).
fof(f298,plain,
( n2 = sK0
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl3_20
<=> n2 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f2335,plain,
( sK1 = sum(pred(sum(n1,succ(sK0))),sum(sK0,pred(sum(n1,sK0))))
| ~ spl3_1 ),
inference(superposition,[],[f204,f221]) ).
fof(f2332,plain,
( ~ spl3_3
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2331]) ).
fof(f2331,plain,
( $false
| ~ spl3_3
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2330,f13]) ).
fof(f13,plain,
n10 != sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f2330,plain,
( n10 = sK1
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2329,f85]) ).
fof(f85,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2329,plain,
( sum(n10,n0) = sK1
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2328,f43]) ).
fof(f2328,plain,
( sK1 = sum(pred(n0),n0)
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2327,f89]) ).
fof(f89,plain,
n0 = sum(n8,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2327,plain,
( sK1 = sum(pred(sum(n8,n3)),n0)
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2326,f153]) ).
fof(f2326,plain,
( sum(pred(sum(n8,succ(n2))),n0) = sK1
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2325,f142]) ).
fof(f142,plain,
n0 = sum(n2,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2325,plain,
( sum(pred(sum(n8,succ(n2))),sum(n2,n9)) = sK1
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2324,f42]) ).
fof(f2324,plain,
( sK1 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(n10)))
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2323,f154]) ).
fof(f2323,plain,
( sK1 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(sum(n8,n2))))
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2314,f298]) ).
fof(f2314,plain,
( sum(pred(sum(n8,succ(sK0))),sum(sK0,pred(sum(n8,sK0)))) = sK1
| ~ spl3_3 ),
inference(superposition,[],[f204,f229]) ).
fof(f2312,plain,
( ~ spl3_6
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2311]) ).
fof(f2311,plain,
( $false
| ~ spl3_6
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2310,f19]) ).
fof(f19,plain,
n3 != sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f2310,plain,
( n3 = sK1
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2309,f45]) ).
fof(f2309,plain,
( sum(n1,n2) = sK1
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2308,f163]) ).
fof(f2308,plain,
( sum(pred(n2),n2) = sK1
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2307,f30]) ).
fof(f30,plain,
n2 = sum(n10,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2307,plain,
( sK1 = sum(pred(sum(n10,n3)),n2)
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2306,f153]) ).
fof(f2306,plain,
( sK1 = sum(pred(sum(n10,succ(n2))),n2)
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2305,f113]) ).
fof(f113,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2305,plain,
( sK1 = sum(pred(sum(n10,succ(n2))),sum(n2,n0))
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2304,f182]) ).
fof(f2304,plain,
( sK1 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(n1)))
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2303,f185]) ).
fof(f2303,plain,
( sK1 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(sum(n10,n2))))
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2293,f298]) ).
fof(f2293,plain,
( sum(pred(sum(n10,succ(sK0))),sum(sK0,pred(sum(n10,sK0)))) = sK1
| ~ spl3_6 ),
inference(superposition,[],[f204,f241]) ).
fof(f2292,plain,
( ~ spl3_5
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2291]) ).
fof(f2291,plain,
( $false
| ~ spl3_5
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2290,f178]) ).
fof(f2290,plain,
( n5 = sK1
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2289,f205]) ).
fof(f205,plain,
n5 = sum(n8,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2289,plain,
( sum(n8,n8) = sK1
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2288,f7]) ).
fof(f2288,plain,
( sK1 = sum(pred(n9),n8)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2287,f202]) ).
fof(f202,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2287,plain,
( sum(pred(sum(n7,n2)),n8) = sK1
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2286,f86]) ).
fof(f2286,plain,
( sK1 = sum(pred(sum(n7,succ(n1))),n8)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2285,f166]) ).
fof(f166,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2285,plain,
( sK1 = sum(pred(sum(n7,succ(n1))),sum(n1,n7))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2284,f164]) ).
fof(f164,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2284,plain,
( sum(pred(sum(n7,succ(n1))),sum(n1,pred(n8))) = sK1
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2283,f184]) ).
fof(f184,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2283,plain,
( sK1 = sum(pred(sum(n7,succ(n1))),sum(n1,pred(sum(n7,n1))))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2273,f237]) ).
fof(f237,plain,
( n7 = sK2
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl3_5
<=> n7 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f2273,plain,
( sK1 = sum(pred(sum(sK2,succ(n1))),sum(n1,pred(sum(sK2,n1))))
| ~ spl3_22 ),
inference(superposition,[],[f204,f306]) ).
fof(f2271,plain,
( ~ spl3_5
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2270]) ).
fof(f2270,plain,
( $false
| ~ spl3_5
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2269,f101]) ).
fof(f101,plain,
n6 != sK1,
inference(cnf_transformation,[],[f5]) ).
fof(f2269,plain,
( n6 = sK1
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2268,f83]) ).
fof(f2268,plain,
( sum(n1,n5) = sK1
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2267,f163]) ).
fof(f2267,plain,
( sK1 = sum(pred(n2),n5)
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2266,f174]) ).
fof(f174,plain,
n2 = sum(n7,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2266,plain,
( sK1 = sum(pred(sum(n7,n6)),n5)
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2265,f140]) ).
fof(f2265,plain,
( sK1 = sum(pred(sum(n7,succ(n5))),n5)
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2264,f157]) ).
fof(f157,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2264,plain,
( sum(pred(sum(n7,succ(n5))),sum(n5,n0)) = sK1
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2263,f182]) ).
fof(f2263,plain,
( sK1 = sum(pred(sum(n7,succ(n5))),sum(n5,pred(n1)))
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2262,f31]) ).
fof(f31,plain,
n1 = sum(n7,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f2262,plain,
( sum(pred(sum(n7,succ(n5))),sum(n5,pred(sum(n7,n5)))) = sK1
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2253,f237]) ).
fof(f2253,plain,
( sum(pred(sum(sK2,succ(n5))),sum(n5,pred(sum(sK2,n5)))) = sK1
| ~ spl3_18 ),
inference(superposition,[],[f204,f290]) ).
fof(f2252,plain,
( ~ spl3_5
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2251]) ).
fof(f2251,plain,
( $false
| ~ spl3_5
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f2250,f19]) ).
fof(f2250,plain,
( n3 = sK1
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2249,f191]) ).
fof(f191,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2249,plain,
( sum(n0,n3) = sK1
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2248,f182]) ).
fof(f2248,plain,
( sK1 = sum(pred(n1),n3)
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2247,f31]) ).
fof(f2247,plain,
( sum(pred(sum(n7,n5)),n3) = sK1
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2246,f127]) ).
fof(f2246,plain,
( sum(pred(sum(n7,succ(n4))),n3) = sK1
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2245,f110]) ).
fof(f110,plain,
n3 = sum(n4,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2245,plain,
( sK1 = sum(pred(sum(n7,succ(n4))),sum(n4,n10))
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2244,f43]) ).
fof(f2244,plain,
( sK1 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(n0)))
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2243,f206]) ).
fof(f206,plain,
n0 = sum(n7,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2243,plain,
( sK1 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(sum(n7,n4))))
| ~ spl3_5
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2236,f237]) ).
fof(f2236,plain,
( sK1 = sum(pred(sum(sK2,succ(n4))),sum(n4,pred(sum(sK2,n4))))
| ~ spl3_13 ),
inference(superposition,[],[f204,f270]) ).
fof(f2234,plain,
( ~ spl3_5
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2233]) ).
fof(f2233,plain,
( $false
| ~ spl3_5
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2232,f213]) ).
fof(f2232,plain,
( n8 = sK1
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2231,f34]) ).
fof(f34,plain,
n8 = sum(n9,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2231,plain,
( sum(n9,n10) = sK1
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2230,f42]) ).
fof(f2230,plain,
( sK1 = sum(pred(n10),n10)
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2229,f141]) ).
fof(f141,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2229,plain,
( sK1 = sum(pred(sum(n7,n3)),n10)
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2228,f153]) ).
fof(f2228,plain,
( sK1 = sum(pred(sum(n7,succ(n2))),n10)
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2227,f81]) ).
fof(f81,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2227,plain,
( sum(pred(sum(n7,succ(n2))),sum(n2,n8)) = sK1
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2226,f7]) ).
fof(f2226,plain,
( sK1 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(n9)))
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2225,f202]) ).
fof(f2225,plain,
( sK1 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(sum(n7,n2))))
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2216,f298]) ).
fof(f2216,plain,
( sK1 = sum(pred(sum(n7,succ(sK0))),sum(sK0,pred(sum(n7,sK0))))
| ~ spl3_5 ),
inference(superposition,[],[f204,f237]) ).
fof(f2214,plain,
( ~ spl3_1
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2213]) ).
fof(f2213,plain,
( $false
| ~ spl3_1
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f2212,f108]) ).
fof(f2212,plain,
( n0 = sK1
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2211,f89]) ).
fof(f2211,plain,
( sum(n8,n3) = sK1
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2210,f7]) ).
fof(f2210,plain,
( sK1 = sum(pred(n9),n3)
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2209,f158]) ).
fof(f2209,plain,
( sK1 = sum(pred(sum(n1,n8)),n3)
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2208,f79]) ).
fof(f79,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f5]) ).
fof(f2208,plain,
( sK1 = sum(pred(sum(n1,succ(n7))),n3)
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2207,f130]) ).
fof(f130,plain,
n3 = sum(n7,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2207,plain,
( sK1 = sum(pred(sum(n1,succ(n7))),sum(n7,n7))
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2206,f164]) ).
fof(f2206,plain,
( sK1 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(n8)))
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2205,f166]) ).
fof(f2205,plain,
( sK1 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(sum(n1,n7))))
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2196,f282]) ).
fof(f282,plain,
( n7 = sK0
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl3_16
<=> n7 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f2196,plain,
( sK1 = sum(pred(sum(n1,succ(sK0))),sum(sK0,pred(sum(n1,sK0))))
| ~ spl3_1 ),
inference(superposition,[],[f204,f221]) ).
fof(f2194,plain,
( ~ spl3_5
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2193]) ).
fof(f2193,plain,
( $false
| ~ spl3_5
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f2192,f11]) ).
fof(f2192,plain,
( n1 = sK1
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2191,f131]) ).
fof(f131,plain,
n1 = sum(n3,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2191,plain,
( sum(n3,n9) = sK1
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2190,f122]) ).
fof(f2190,plain,
( sK1 = sum(pred(n4),n9)
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2189,f76]) ).
fof(f76,plain,
n4 = sum(n7,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2189,plain,
( sum(pred(sum(n7,n8)),n9) = sK1
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2188,f79]) ).
fof(f2188,plain,
( sK1 = sum(pred(sum(n7,succ(n7))),n9)
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2187,f202]) ).
fof(f2187,plain,
( sK1 = sum(pred(sum(n7,succ(n7))),sum(n7,n2))
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2186,f20]) ).
fof(f2186,plain,
( sum(pred(sum(n7,succ(n7))),sum(n7,pred(n3))) = sK1
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2185,f130]) ).
fof(f2185,plain,
( sK1 = sum(pred(sum(n7,succ(n7))),sum(n7,pred(sum(n7,n7))))
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2175,f282]) ).
fof(f2175,plain,
( sK1 = sum(pred(sum(n7,succ(sK0))),sum(sK0,pred(sum(n7,sK0))))
| ~ spl3_5 ),
inference(superposition,[],[f204,f237]) ).
fof(f2174,plain,
( ~ spl3_3
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2173]) ).
fof(f2173,plain,
( $false
| ~ spl3_3
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f2172,f19]) ).
fof(f2172,plain,
( n3 = sK1
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2171,f110]) ).
fof(f2171,plain,
( sum(n4,n10) = sK1
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2170,f123]) ).
fof(f2170,plain,
( sK1 = sum(pred(n5),n10)
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2169,f205]) ).
fof(f2169,plain,
( sK1 = sum(pred(sum(n8,n8)),n10)
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2168,f79]) ).
fof(f2168,plain,
( sK1 = sum(pred(sum(n8,succ(n7))),n10)
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2167,f141]) ).
fof(f2167,plain,
( sK1 = sum(pred(sum(n8,succ(n7))),sum(n7,n3))
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2166,f122]) ).
fof(f2166,plain,
( sK1 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(n4)))
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2165,f214]) ).
fof(f214,plain,
n4 = sum(n8,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2165,plain,
( sK1 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(sum(n8,n7))))
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2155,f282]) ).
fof(f2155,plain,
( sum(pred(sum(n8,succ(sK0))),sum(sK0,pred(sum(n8,sK0)))) = sK1
| ~ spl3_3 ),
inference(superposition,[],[f204,f229]) ).
fof(f2153,plain,
( ~ spl3_6
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2152]) ).
fof(f2152,plain,
( $false
| ~ spl3_6
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f2151,f120]) ).
fof(f2151,plain,
( n7 = sK1
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2150,f102]) ).
fof(f102,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2150,plain,
( sum(n6,n1) = sK1
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2149,f209]) ).
fof(f2149,plain,
( sK1 = sum(pred(n7),n1)
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2148,f95]) ).
fof(f95,plain,
n7 = sum(n10,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2148,plain,
( sK1 = sum(pred(sum(n10,n8)),n1)
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2147,f79]) ).
fof(f2147,plain,
( sum(pred(sum(n10,succ(n7))),n1) = sK1
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2146,f31]) ).
fof(f2146,plain,
( sK1 = sum(pred(sum(n10,succ(n7))),sum(n7,n5))
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2145,f125]) ).
fof(f2145,plain,
( sK1 = sum(pred(sum(n10,succ(n7))),sum(n7,pred(n6)))
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2144,f44]) ).
fof(f44,plain,
n6 = sum(n10,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2144,plain,
( sK1 = sum(pred(sum(n10,succ(n7))),sum(n7,pred(sum(n10,n7))))
| ~ spl3_6
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2133,f282]) ).
fof(f2133,plain,
( sum(pred(sum(n10,succ(sK0))),sum(sK0,pred(sum(n10,sK0)))) = sK1
| ~ spl3_6 ),
inference(superposition,[],[f204,f241]) ).
fof(f2132,plain,
( ~ spl3_4
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f2131]) ).
fof(f2131,plain,
( $false
| ~ spl3_4
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f2130,f108]) ).
fof(f2130,plain,
( n0 = sK1
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2129,f181]) ).
fof(f181,plain,
n0 = sum(n4,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2129,plain,
( sum(n4,n7) = sK1
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2128,f123]) ).
fof(f2128,plain,
( sK1 = sum(pred(n5),n7)
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2127,f136]) ).
fof(f136,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f2127,plain,
( sum(pred(sum(n0,n5)),n7) = sK1
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2126,f127]) ).
fof(f2126,plain,
( sK1 = sum(pred(sum(n0,succ(n4))),n7)
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2125,f107]) ).
fof(f107,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2125,plain,
( sK1 = sum(pred(sum(n0,succ(n4))),sum(n4,n3))
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2124,f122]) ).
fof(f2124,plain,
( sK1 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(n4)))
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2123,f198]) ).
fof(f198,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2123,plain,
( sK1 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(sum(n0,n4))))
| ~ spl3_4
| ~ spl3_13 ),
inference(forward_demodulation,[],[f2115,f233]) ).
fof(f233,plain,
( n0 = sK2
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl3_4
<=> n0 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f2115,plain,
( sK1 = sum(pred(sum(sK2,succ(n4))),sum(n4,pred(sum(sK2,n4))))
| ~ spl3_13 ),
inference(superposition,[],[f204,f270]) ).
fof(f2113,plain,
( ~ spl3_4
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f2112]) ).
fof(f2112,plain,
( $false
| ~ spl3_4
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f2111,f105]) ).
fof(f2111,plain,
( n9 = sK1
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2110,f202]) ).
fof(f2110,plain,
( sum(n7,n2) = sK1
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2109,f164]) ).
fof(f2109,plain,
( sum(pred(n8),n2) = sK1
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2108,f52]) ).
fof(f52,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2108,plain,
( sK1 = sum(pred(sum(n0,n8)),n2)
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2107,f79]) ).
fof(f2107,plain,
( sK1 = sum(pred(sum(n0,succ(n7))),n2)
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2106,f174]) ).
fof(f2106,plain,
( sum(pred(sum(n0,succ(n7))),sum(n7,n6)) = sK1
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2105,f209]) ).
fof(f2105,plain,
( sK1 = sum(pred(sum(n0,succ(n7))),sum(n7,pred(n7)))
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2104,f147]) ).
fof(f147,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2104,plain,
( sum(pred(sum(n0,succ(n7))),sum(n7,pred(sum(n0,n7)))) = sK1
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_demodulation,[],[f2096,f233]) ).
fof(f2096,plain,
( sK1 = sum(pred(sum(sK2,succ(n7))),sum(n7,pred(sum(sK2,n7))))
| ~ spl3_16 ),
inference(superposition,[],[f204,f282]) ).
fof(f2095,plain,
( ~ spl3_4
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2094]) ).
fof(f2094,plain,
( $false
| ~ spl3_4
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2093,f74]) ).
fof(f2093,plain,
( n2 = sK1
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2092,f116]) ).
fof(f2092,plain,
( sum(n1,n1) = sK1
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2091,f163]) ).
fof(f2091,plain,
( sK1 = sum(pred(n2),n1)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2090,f119]) ).
fof(f119,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2090,plain,
( sK1 = sum(pred(sum(n0,n2)),n1)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2089,f86]) ).
fof(f2089,plain,
( sum(pred(sum(n0,succ(n1))),n1) = sK1
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2088,f134]) ).
fof(f134,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2088,plain,
( sK1 = sum(pred(sum(n0,succ(n1))),sum(n1,n0))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2087,f182]) ).
fof(f2087,plain,
( sK1 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(n1)))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2086,f25]) ).
fof(f25,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2086,plain,
( sK1 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(sum(n0,n1))))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2077,f233]) ).
fof(f2077,plain,
( sK1 = sum(pred(sum(sK2,succ(n1))),sum(n1,pred(sum(sK2,n1))))
| ~ spl3_22 ),
inference(superposition,[],[f204,f306]) ).
fof(f2075,plain,
( ~ spl3_4
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2074]) ).
fof(f2074,plain,
( $false
| ~ spl3_4
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2073,f178]) ).
fof(f2073,plain,
( n5 = sK1
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2072,f96]) ).
fof(f96,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2072,plain,
( sum(n2,n3) = sK1
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2071,f20]) ).
fof(f2071,plain,
( sK1 = sum(pred(n3),n3)
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2070,f191]) ).
fof(f2070,plain,
( sK1 = sum(pred(sum(n0,n3)),n3)
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2069,f153]) ).
fof(f2069,plain,
( sum(pred(sum(n0,succ(n2))),n3) = sK1
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2068,f148]) ).
fof(f148,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2068,plain,
( sK1 = sum(pred(sum(n0,succ(n2))),sum(n2,n1))
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2067,f163]) ).
fof(f2067,plain,
( sK1 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(n2)))
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2066,f119]) ).
fof(f2066,plain,
( sK1 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(sum(n0,n2))))
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2058,f233]) ).
fof(f2058,plain,
( sK1 = sum(pred(sum(sK2,succ(n2))),sum(n2,pred(sum(sK2,n2))))
| ~ spl3_20 ),
inference(superposition,[],[f204,f298]) ).
fof(f2056,plain,
( ~ spl3_4
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2055]) ).
fof(f2055,plain,
( $false
| ~ spl3_4
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2054,f19]) ).
fof(f2054,plain,
( n3 = sK1
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2053,f201]) ).
fof(f201,plain,
n3 = sum(n5,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2053,plain,
( sum(n5,n9) = sK1
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2052,f125]) ).
fof(f2052,plain,
( sK1 = sum(pred(n6),n9)
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2051,f112]) ).
fof(f112,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2051,plain,
( sK1 = sum(pred(sum(n0,n6)),n9)
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2050,f140]) ).
fof(f2050,plain,
( sK1 = sum(pred(sum(n0,succ(n5))),n9)
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2049,f143]) ).
fof(f143,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2049,plain,
( sK1 = sum(pred(sum(n0,succ(n5))),sum(n5,n4))
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2048,f123]) ).
fof(f2048,plain,
( sK1 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(n5)))
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2047,f136]) ).
fof(f2047,plain,
( sK1 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(sum(n0,n5))))
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2040,f233]) ).
fof(f2040,plain,
( sum(pred(sum(sK2,succ(n5))),sum(n5,pred(sum(sK2,n5)))) = sK1
| ~ spl3_18 ),
inference(superposition,[],[f204,f290]) ).
fof(f2036,plain,
( ~ spl3_4
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f2035]) ).
fof(f2035,plain,
( $false
| ~ spl3_4
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f2034,f120]) ).
fof(f2034,plain,
( n7 = sK1
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2033,f95]) ).
fof(f2033,plain,
( sum(n10,n8) = sK1
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2032,f43]) ).
fof(f2032,plain,
( sK1 = sum(pred(n0),n8)
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2031,f64]) ).
fof(f2031,plain,
( sK1 = sum(pred(sum(n0,n0)),n8)
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2030,f56]) ).
fof(f56,plain,
n0 = succ(n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2030,plain,
( sum(pred(sum(n0,succ(n10))),n8) = sK1
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2029,f6]) ).
fof(f6,plain,
n8 = sum(n10,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2029,plain,
( sK1 = sum(pred(sum(n0,succ(n10))),sum(n10,n9))
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2028,f42]) ).
fof(f2028,plain,
( sum(pred(sum(n0,succ(n10))),sum(n10,pred(n10))) = sK1
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2027,f211]) ).
fof(f211,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2027,plain,
( sK1 = sum(pred(sum(n0,succ(n10))),sum(n10,pred(sum(n0,n10))))
| ~ spl3_4
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2019,f274]) ).
fof(f274,plain,
( n10 = sK0
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl3_14
<=> n10 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f2019,plain,
( sK1 = sum(pred(sum(n0,succ(sK0))),sum(sK0,pred(sum(n0,sK0))))
| ~ spl3_4 ),
inference(superposition,[],[f204,f233]) ).
fof(f2017,plain,
( ~ spl3_5
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f2016]) ).
fof(f2016,plain,
( $false
| ~ spl3_5
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f2015,f13]) ).
fof(f2015,plain,
( n10 = sK1
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2014,f87]) ).
fof(f87,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2014,plain,
( sum(n6,n4) = sK1
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2013,f209]) ).
fof(f2013,plain,
( sK1 = sum(pred(n7),n4)
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2012,f92]) ).
fof(f92,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2012,plain,
( sK1 = sum(pred(sum(n7,n0)),n4)
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2011,f56]) ).
fof(f2011,plain,
( sK1 = sum(pred(sum(n7,succ(n10))),n4)
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2010,f49]) ).
fof(f2010,plain,
( sK1 = sum(pred(sum(n7,succ(n10))),sum(n10,n5))
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2009,f125]) ).
fof(f2009,plain,
( sK1 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(n6)))
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f2008,f70]) ).
fof(f70,plain,
n6 = sum(n7,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2008,plain,
( sK1 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(sum(n7,n10))))
| ~ spl3_5
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1999,f274]) ).
fof(f1999,plain,
( sK1 = sum(pred(sum(n7,succ(sK0))),sum(sK0,pred(sum(n7,sK0))))
| ~ spl3_5 ),
inference(superposition,[],[f204,f237]) ).
fof(f1998,plain,
( ~ spl3_1
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1997]) ).
fof(f1997,plain,
( $false
| ~ spl3_1
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f1996,f105]) ).
fof(f1996,plain,
( n9 = sK1
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1995,f195]) ).
fof(f195,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1995,plain,
( sum(n0,n9) = sK1
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1994,f182]) ).
fof(f1994,plain,
( sK1 = sum(pred(n1),n9)
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1993,f134]) ).
fof(f1993,plain,
( sK1 = sum(pred(sum(n1,n0)),n9)
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1992,f56]) ).
fof(f1992,plain,
( sum(pred(sum(n1,succ(n10))),n9) = sK1
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1991,f168]) ).
fof(f168,plain,
n9 = sum(n10,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f1991,plain,
( sK1 = sum(pred(sum(n1,succ(n10))),sum(n10,n10))
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1990,f43]) ).
fof(f1990,plain,
( sum(pred(sum(n1,succ(n10))),sum(n10,pred(n0))) = sK1
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1989,f37]) ).
fof(f1989,plain,
( sum(pred(sum(n1,succ(n10))),sum(n10,pred(sum(n1,n10)))) = sK1
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1980,f274]) ).
fof(f1980,plain,
( sK1 = sum(pred(sum(n1,succ(sK0))),sum(sK0,pred(sum(n1,sK0))))
| ~ spl3_1 ),
inference(superposition,[],[f204,f221]) ).
fof(f1979,plain,
( ~ spl3_6
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1978]) ).
fof(f1978,plain,
( $false
| ~ spl3_6
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f1977,f178]) ).
fof(f1977,plain,
( n5 = sK1
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1976,f199]) ).
fof(f199,plain,
n5 = sum(n9,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f1976,plain,
( sum(n9,n7) = sK1
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1975,f42]) ).
fof(f1975,plain,
( sK1 = sum(pred(n10),n7)
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1974,f85]) ).
fof(f1974,plain,
( sK1 = sum(pred(sum(n10,n0)),n7)
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1973,f56]) ).
fof(f1973,plain,
( sK1 = sum(pred(sum(n10,succ(n10))),n7)
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1972,f95]) ).
fof(f1972,plain,
( sum(pred(sum(n10,succ(n10))),sum(n10,n8)) = sK1
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1971,f7]) ).
fof(f1971,plain,
( sK1 = sum(pred(sum(n10,succ(n10))),sum(n10,pred(n9)))
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1970,f168]) ).
fof(f1970,plain,
( sK1 = sum(pred(sum(n10,succ(n10))),sum(n10,pred(sum(n10,n10))))
| ~ spl3_6
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1960,f274]) ).
fof(f1960,plain,
( sum(pred(sum(n10,succ(sK0))),sum(sK0,pred(sum(n10,sK0)))) = sK1
| ~ spl3_6 ),
inference(superposition,[],[f204,f241]) ).
fof(f1959,plain,
( ~ spl3_3
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1958]) ).
fof(f1958,plain,
( $false
| ~ spl3_3
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f1957,f11]) ).
fof(f1957,plain,
( n1 = sK1
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1956,f31]) ).
fof(f1956,plain,
( sum(n7,n5) = sK1
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1955,f164]) ).
fof(f1955,plain,
( sK1 = sum(pred(n8),n5)
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1954,f171]) ).
fof(f171,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f1954,plain,
( sK1 = sum(pred(sum(n8,n0)),n5)
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1953,f56]) ).
fof(f1953,plain,
( sK1 = sum(pred(sum(n8,succ(n10))),n5)
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1952,f128]) ).
fof(f1952,plain,
( sum(pred(sum(n8,succ(n10))),sum(n10,n6)) = sK1
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1951,f209]) ).
fof(f1951,plain,
( sK1 = sum(pred(sum(n8,succ(n10))),sum(n10,pred(n7)))
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1950,f165]) ).
fof(f165,plain,
n7 = sum(n8,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f1950,plain,
( sum(pred(sum(n8,succ(n10))),sum(n10,pred(sum(n8,n10)))) = sK1
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1940,f274]) ).
fof(f1940,plain,
( sum(pred(sum(n8,succ(sK0))),sum(sK0,pred(sum(n8,sK0)))) = sK1
| ~ spl3_3 ),
inference(superposition,[],[f204,f229]) ).
fof(f1939,plain,
( ~ spl3_7
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f1938]) ).
fof(f1938,plain,
( $false
| ~ spl3_7
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f1937,f101]) ).
fof(f1937,plain,
( n6 = sK1
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1936,f70]) ).
fof(f1936,plain,
( sum(n7,n10) = sK1
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1935,f164]) ).
fof(f1935,plain,
( sum(pred(n8),n10) = sK1
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1934,f139]) ).
fof(f139,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f1934,plain,
( sK1 = sum(pred(sum(n3,n5)),n10)
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1933,f127]) ).
fof(f1933,plain,
( sK1 = sum(pred(sum(n3,succ(n4))),n10)
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1932,f75]) ).
fof(f75,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f1932,plain,
( sum(pred(sum(n3,succ(n4))),sum(n4,n6)) = sK1
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1931,f209]) ).
fof(f1931,plain,
( sK1 = sum(pred(sum(n3,succ(n4))),sum(n4,pred(n7)))
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1930,f24]) ).
fof(f1930,plain,
( sK1 = sum(pred(sum(n3,succ(n4))),sum(n4,pred(sum(n3,n4))))
| ~ spl3_7
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1922,f245]) ).
fof(f245,plain,
( n3 = sK2
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl3_7
<=> n3 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f1922,plain,
( sK1 = sum(pred(sum(sK2,succ(n4))),sum(n4,pred(sum(sK2,n4))))
| ~ spl3_13 ),
inference(superposition,[],[f204,f270]) ).
fof(f1920,plain,
( ~ spl3_7
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1919]) ).
fof(f1919,plain,
( $false
| ~ spl3_7
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f1918,f108]) ).
fof(f1918,plain,
( n0 = sK1
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1917,f200]) ).
fof(f200,plain,
n0 = sum(n5,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f1917,plain,
( sum(n5,n6) = sK1
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1916,f125]) ).
fof(f1916,plain,
( sK1 = sum(pred(n6),n6)
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1915,f187]) ).
fof(f187,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f1915,plain,
( sK1 = sum(pred(sum(n3,n3)),n6)
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1914,f153]) ).
fof(f1914,plain,
( sK1 = sum(pred(sum(n3,succ(n2))),n6)
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1913,f93]) ).
fof(f93,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f1913,plain,
( sK1 = sum(pred(sum(n3,succ(n2))),sum(n2,n4))
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1912,f123]) ).
fof(f1912,plain,
( sum(pred(sum(n3,succ(n2))),sum(n2,pred(n5))) = sK1
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1911,f124]) ).
fof(f124,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f1911,plain,
( sK1 = sum(pred(sum(n3,succ(n2))),sum(n2,pred(sum(n3,n2))))
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1902,f245]) ).
fof(f1902,plain,
( sK1 = sum(pred(sum(sK2,succ(n2))),sum(n2,pred(sum(sK2,n2))))
| ~ spl3_20 ),
inference(superposition,[],[f204,f298]) ).
fof(f1898,plain,
( ~ spl3_7
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1897]) ).
fof(f1897,plain,
( $false
| ~ spl3_7
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f1896,f53]) ).
fof(f1896,plain,
( n4 = sK1
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1895,f49]) ).
fof(f1895,plain,
( sum(n10,n5) = sK1
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1894,f43]) ).
fof(f1894,plain,
( sK1 = sum(pred(n0),n5)
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1893,f111]) ).
fof(f111,plain,
n0 = sum(n3,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f1893,plain,
( sK1 = sum(pred(sum(n3,n8)),n5)
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1892,f79]) ).
fof(f1892,plain,
( sK1 = sum(pred(sum(n3,succ(n7))),n5)
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1891,f208]) ).
fof(f208,plain,
n5 = sum(n7,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1891,plain,
( sK1 = sum(pred(sum(n3,succ(n7))),sum(n7,n9))
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1890,f42]) ).
fof(f1890,plain,
( sum(pred(sum(n3,succ(n7))),sum(n7,pred(n10))) = sK1
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1889,f152]) ).
fof(f152,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f1889,plain,
( sK1 = sum(pred(sum(n3,succ(n7))),sum(n7,pred(sum(n3,n7))))
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1849,f282]) ).
fof(f1849,plain,
( sK1 = sum(pred(sum(n3,succ(sK0))),sum(sK0,pred(sum(n3,sK0))))
| ~ spl3_7 ),
inference(superposition,[],[f204,f245]) ).
fof(f1888,plain,
( ~ spl3_7
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1887]) ).
fof(f1887,plain,
( $false
| ~ spl3_7
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f1886,f213]) ).
fof(f1886,plain,
( n8 = sK1
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1885,f175]) ).
fof(f1885,plain,
( sum(n4,n4) = sK1
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1884,f123]) ).
fof(f1884,plain,
( sK1 = sum(pred(n5),n4)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1883,f124]) ).
fof(f1883,plain,
( sK1 = sum(pred(sum(n3,n2)),n4)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1882,f86]) ).
fof(f1882,plain,
( sK1 = sum(pred(sum(n3,succ(n1))),n4)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1881,f203]) ).
fof(f1881,plain,
( sum(pred(sum(n3,succ(n1))),sum(n1,n3)) = sK1
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1880,f122]) ).
fof(f1880,plain,
( sum(pred(sum(n3,succ(n1))),sum(n1,pred(n4))) = sK1
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1879,f129]) ).
fof(f129,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f1879,plain,
( sK1 = sum(pred(sum(n3,succ(n1))),sum(n1,pred(sum(n3,n1))))
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1849,f306]) ).
fof(f1877,plain,
( ~ spl3_7
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1876]) ).
fof(f1876,plain,
( $false
| ~ spl3_7
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f1875,f74]) ).
fof(f1875,plain,
( n2 = sK1
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1874,f113]) ).
fof(f1874,plain,
( sum(n2,n0) = sK1
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1873,f20]) ).
fof(f1873,plain,
( sum(pred(n3),n0) = sK1
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1872,f137]) ).
fof(f137,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f1872,plain,
( sum(pred(sum(n3,n0)),n0) = sK1
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1871,f56]) ).
fof(f1871,plain,
( sK1 = sum(pred(sum(n3,succ(n10))),n0)
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1870,f36]) ).
fof(f1870,plain,
( sum(pred(sum(n3,succ(n10))),sum(n10,n1)) = sK1
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1869,f163]) ).
fof(f1869,plain,
( sK1 = sum(pred(sum(n3,succ(n10))),sum(n10,pred(n2)))
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1868,f55]) ).
fof(f55,plain,
n2 = sum(n3,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f1868,plain,
( sK1 = sum(pred(sum(n3,succ(n10))),sum(n10,pred(sum(n3,n10))))
| ~ spl3_7
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1849,f274]) ).
fof(f1867,plain,
( ~ spl3_7
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1866]) ).
fof(f1866,plain,
( $false
| ~ spl3_7
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f1865,f105]) ).
fof(f1865,plain,
( n9 = sK1
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1864,f39]) ).
fof(f1864,plain,
( sum(n8,n1) = sK1
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1863,f7]) ).
fof(f1863,plain,
( sK1 = sum(pred(n9),n1)
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1862,f73]) ).
fof(f1862,plain,
( sK1 = sum(pred(sum(n3,n6)),n1)
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1861,f140]) ).
fof(f1861,plain,
( sK1 = sum(pred(sum(n3,succ(n5))),n1)
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1860,f106]) ).
fof(f106,plain,
n1 = sum(n5,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f1860,plain,
( sK1 = sum(pred(sum(n3,succ(n5))),sum(n5,n7))
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1859,f164]) ).
fof(f1859,plain,
( sK1 = sum(pred(sum(n3,succ(n5))),sum(n5,pred(n8)))
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1858,f139]) ).
fof(f1858,plain,
( sK1 = sum(pred(sum(n3,succ(n5))),sum(n5,pred(sum(n3,n5))))
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1849,f290]) ).
fof(f1848,plain,
( ~ spl3_3
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1847]) ).
fof(f1847,plain,
( $false
| ~ spl3_3
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1846,f53]) ).
fof(f1846,plain,
( n4 = sK1
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1845,f214]) ).
fof(f1845,plain,
( sum(n8,n7) = sK1
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1844,f7]) ).
fof(f1844,plain,
( sK1 = sum(pred(n9),n7)
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1843,f39]) ).
fof(f1843,plain,
( sum(pred(sum(n8,n1)),n7) = sK1
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1842,f58]) ).
fof(f58,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f5]) ).
fof(f1842,plain,
( sK1 = sum(pred(sum(n8,succ(n0))),n7)
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1841,f147]) ).
fof(f1841,plain,
( sK1 = sum(pred(sum(n8,succ(n0))),sum(n0,n7))
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1840,f164]) ).
fof(f1840,plain,
( sum(pred(sum(n8,succ(n0))),sum(n0,pred(n8))) = sK1
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1839,f171]) ).
fof(f1839,plain,
( sK1 = sum(pred(sum(n8,succ(n0))),sum(n0,pred(sum(n8,n0))))
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1831,f266]) ).
fof(f266,plain,
( n0 = sK0
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl3_12
<=> n0 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f1831,plain,
( sum(pred(sum(n8,succ(sK0))),sum(sK0,pred(sum(n8,sK0)))) = sK1
| ~ spl3_3 ),
inference(superposition,[],[f204,f229]) ).
fof(f1830,plain,
( ~ spl3_5
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1829]) ).
fof(f1829,plain,
( $false
| ~ spl3_5
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1828,f74]) ).
fof(f1828,plain,
( n2 = sK1
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1827,f174]) ).
fof(f1827,plain,
( sum(n7,n6) = sK1
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1826,f164]) ).
fof(f1826,plain,
( sK1 = sum(pred(n8),n6)
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1825,f184]) ).
fof(f1825,plain,
( sK1 = sum(pred(sum(n7,n1)),n6)
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1824,f58]) ).
fof(f1824,plain,
( sK1 = sum(pred(sum(n7,succ(n0))),n6)
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1823,f112]) ).
fof(f1823,plain,
( sK1 = sum(pred(sum(n7,succ(n0))),sum(n0,n6))
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1822,f209]) ).
fof(f1822,plain,
( sK1 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(n7)))
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1821,f92]) ).
fof(f1821,plain,
( sK1 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(sum(n7,n0))))
| ~ spl3_5
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1812,f266]) ).
fof(f1812,plain,
( sK1 = sum(pred(sum(n7,succ(sK0))),sum(sK0,pred(sum(n7,sK0))))
| ~ spl3_5 ),
inference(superposition,[],[f204,f237]) ).
fof(f1811,plain,
( ~ spl3_7
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1810]) ).
fof(f1810,plain,
( $false
| ~ spl3_7
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1809,f178]) ).
fof(f1809,plain,
( n5 = sK1
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1808,f124]) ).
fof(f1808,plain,
( sum(n3,n2) = sK1
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1807,f122]) ).
fof(f1807,plain,
( sK1 = sum(pred(n4),n2)
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1806,f129]) ).
fof(f1806,plain,
( sK1 = sum(pred(sum(n3,n1)),n2)
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1805,f58]) ).
fof(f1805,plain,
( sK1 = sum(pred(sum(n3,succ(n0))),n2)
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1804,f119]) ).
fof(f1804,plain,
( sK1 = sum(pred(sum(n3,succ(n0))),sum(n0,n2))
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1803,f20]) ).
fof(f1803,plain,
( sK1 = sum(pred(sum(n3,succ(n0))),sum(n0,pred(n3)))
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1802,f137]) ).
fof(f1802,plain,
( sum(pred(sum(n3,succ(n0))),sum(n0,pred(sum(n3,n0)))) = sK1
| ~ spl3_7
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1792,f266]) ).
fof(f1792,plain,
( sK1 = sum(pred(sum(n3,succ(sK0))),sum(sK0,pred(sum(n3,sK0))))
| ~ spl3_7 ),
inference(superposition,[],[f204,f245]) ).
fof(f1791,plain,
( ~ spl3_1
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1790]) ).
fof(f1790,plain,
( $false
| ~ spl3_1
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1789,f11]) ).
fof(f1789,plain,
( n1 = sK1
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1788,f134]) ).
fof(f1788,plain,
( sum(n1,n0) = sK1
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1787,f163]) ).
fof(f1787,plain,
( sum(pred(n2),n0) = sK1
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1786,f116]) ).
fof(f1786,plain,
( sK1 = sum(pred(sum(n1,n1)),n0)
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1785,f58]) ).
fof(f1785,plain,
( sK1 = sum(pred(sum(n1,succ(n0))),n0)
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1784,f64]) ).
fof(f1784,plain,
( sK1 = sum(pred(sum(n1,succ(n0))),sum(n0,n0))
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1783,f182]) ).
fof(f1783,plain,
( sum(pred(sum(n1,succ(n0))),sum(n0,pred(n1))) = sK1
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1782,f134]) ).
fof(f1782,plain,
( sK1 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(sum(n1,n0))))
| ~ spl3_1
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1773,f266]) ).
fof(f1773,plain,
( sK1 = sum(pred(sum(n1,succ(sK0))),sum(sK0,pred(sum(n1,sK0))))
| ~ spl3_1 ),
inference(superposition,[],[f204,f221]) ).
fof(f1772,plain,
( ~ spl3_6
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1771]) ).
fof(f1771,plain,
( $false
| ~ spl3_6
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1770,f213]) ).
fof(f1770,plain,
( n8 = sK1
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1769,f6]) ).
fof(f1769,plain,
( sum(n10,n9) = sK1
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1768,f43]) ).
fof(f1768,plain,
( sum(pred(n0),n9) = sK1
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1767,f36]) ).
fof(f1767,plain,
( sK1 = sum(pred(sum(n10,n1)),n9)
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1766,f58]) ).
fof(f1766,plain,
( sK1 = sum(pred(sum(n10,succ(n0))),n9)
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1765,f195]) ).
fof(f1765,plain,
( sK1 = sum(pred(sum(n10,succ(n0))),sum(n0,n9))
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1764,f42]) ).
fof(f1764,plain,
( sK1 = sum(pred(sum(n10,succ(n0))),sum(n0,pred(n10)))
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1763,f85]) ).
fof(f1763,plain,
( sK1 = sum(pred(sum(n10,succ(n0))),sum(n0,pred(sum(n10,n0))))
| ~ spl3_6
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1754,f266]) ).
fof(f1754,plain,
( sum(pred(sum(n10,succ(sK0))),sum(sK0,pred(sum(n10,sK0)))) = sK1
| ~ spl3_6 ),
inference(superposition,[],[f204,f241]) ).
fof(f1753,plain,
( ~ spl3_4
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1752]) ).
fof(f1752,plain,
( $false
| ~ spl3_4
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1751,f13]) ).
fof(f1751,plain,
( n10 = sK1
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1750,f211]) ).
fof(f1750,plain,
( sum(n0,n10) = sK1
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1749,f182]) ).
fof(f1749,plain,
( sK1 = sum(pred(n1),n10)
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1748,f25]) ).
fof(f1748,plain,
( sK1 = sum(pred(sum(n0,n1)),n10)
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1747,f58]) ).
fof(f1747,plain,
( sum(pred(sum(n0,succ(n0))),n10) = sK1
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1746,f211]) ).
fof(f1746,plain,
( sum(pred(sum(n0,succ(n0))),sum(n0,n10)) = sK1
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1745,f43]) ).
fof(f1745,plain,
( sK1 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(n0)))
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1744,f64]) ).
fof(f1744,plain,
( sK1 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(sum(n0,n0))))
| ~ spl3_4
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1735,f266]) ).
fof(f1735,plain,
( sK1 = sum(pred(sum(n0,succ(sK0))),sum(sK0,pred(sum(n0,sK0))))
| ~ spl3_4 ),
inference(superposition,[],[f204,f233]) ).
fof(f1733,plain,
( ~ spl3_11
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1732]) ).
fof(f1732,plain,
( $false
| ~ spl3_11
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f1731,f53]) ).
fof(f1731,plain,
( n4 = sK1
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1730,f76]) ).
fof(f1730,plain,
( sum(n7,n8) = sK1
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1729,f164]) ).
fof(f1729,plain,
( sum(pred(n8),n8) = sK1
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1728,f216]) ).
fof(f1728,plain,
( sK1 = sum(pred(sum(n5,n3)),n8)
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1727,f153]) ).
fof(f1727,plain,
( sK1 = sum(pred(sum(n5,succ(n2))),n8)
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1726,f149]) ).
fof(f1726,plain,
( sK1 = sum(pred(sum(n5,succ(n2))),sum(n2,n6))
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1725,f209]) ).
fof(f1725,plain,
( sK1 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(n7)))
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1724,f82]) ).
fof(f82,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f1724,plain,
( sK1 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(sum(n5,n2))))
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1714,f261]) ).
fof(f261,plain,
( n5 = sK2
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl3_11
<=> n5 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f1714,plain,
( sK1 = sum(pred(sum(sK2,succ(n2))),sum(n2,pred(sum(sK2,n2))))
| ~ spl3_20 ),
inference(superposition,[],[f204,f298]) ).
fof(f1713,plain,
( ~ spl3_11
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1712]) ).
fof(f1712,plain,
( $false
| ~ spl3_11
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f1711,f213]) ).
fof(f1711,plain,
( n8 = sK1
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1710,f166]) ).
fof(f1710,plain,
( sum(n1,n7) = sK1
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1709,f163]) ).
fof(f1709,plain,
( sK1 = sum(pred(n2),n7)
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1708,f68]) ).
fof(f1708,plain,
( sK1 = sum(pred(sum(n5,n8)),n7)
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1707,f79]) ).
fof(f1707,plain,
( sK1 = sum(pred(sum(n5,succ(n7))),n7)
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1706,f92]) ).
fof(f1706,plain,
( sum(pred(sum(n5,succ(n7))),sum(n7,n0)) = sK1
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1705,f182]) ).
fof(f1705,plain,
( sum(pred(sum(n5,succ(n7))),sum(n7,pred(n1))) = sK1
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1704,f106]) ).
fof(f1704,plain,
( sum(pred(sum(n5,succ(n7))),sum(n7,pred(sum(n5,n7)))) = sK1
| ~ spl3_11
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1694,f261]) ).
fof(f1694,plain,
( sK1 = sum(pred(sum(sK2,succ(n7))),sum(n7,pred(sum(sK2,n7))))
| ~ spl3_16 ),
inference(superposition,[],[f204,f282]) ).
fof(f1693,plain,
( ~ spl3_11
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1692]) ).
fof(f1692,plain,
( $false
| ~ spl3_11
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1691,f105]) ).
fof(f1691,plain,
( n9 = sK1
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1690,f143]) ).
fof(f1690,plain,
( sum(n5,n4) = sK1
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1689,f125]) ).
fof(f1689,plain,
( sK1 = sum(pred(n6),n4)
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1688,f26]) ).
fof(f1688,plain,
( sK1 = sum(pred(sum(n5,n1)),n4)
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1687,f58]) ).
fof(f1687,plain,
( sum(pred(sum(n5,succ(n0))),n4) = sK1
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1686,f198]) ).
fof(f1686,plain,
( sK1 = sum(pred(sum(n5,succ(n0))),sum(n0,n4))
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1685,f123]) ).
fof(f1685,plain,
( sum(pred(sum(n5,succ(n0))),sum(n0,pred(n5))) = sK1
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1684,f157]) ).
fof(f1684,plain,
( sK1 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(sum(n5,n0))))
| ~ spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1676,f261]) ).
fof(f1676,plain,
( sum(pred(sum(sK2,succ(n0))),sum(n0,pred(sum(sK2,n0)))) = sK1
| ~ spl3_12 ),
inference(superposition,[],[f204,f266]) ).
fof(f1674,plain,
( ~ spl3_11
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1673]) ).
fof(f1673,plain,
( $false
| ~ spl3_11
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f1672,f11]) ).
fof(f1672,plain,
( n1 = sK1
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1671,f17]) ).
fof(f17,plain,
n1 = sum(n6,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f1671,plain,
( sum(n6,n6) = sK1
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1670,f209]) ).
fof(f1670,plain,
( sK1 = sum(pred(n7),n6)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1669,f82]) ).
fof(f1669,plain,
( sum(pred(sum(n5,n2)),n6) = sK1
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1668,f86]) ).
fof(f1668,plain,
( sK1 = sum(pred(sum(n5,succ(n1))),n6)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1667,f83]) ).
fof(f1667,plain,
( sum(pred(sum(n5,succ(n1))),sum(n1,n5)) = sK1
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1666,f125]) ).
fof(f1666,plain,
( sK1 = sum(pred(sum(n5,succ(n1))),sum(n1,pred(n6)))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1665,f26]) ).
fof(f1665,plain,
( sK1 = sum(pred(sum(n5,succ(n1))),sum(n1,pred(sum(n5,n1))))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1656,f261]) ).
fof(f1656,plain,
( sK1 = sum(pred(sum(sK2,succ(n1))),sum(n1,pred(sum(sK2,n1))))
| ~ spl3_22 ),
inference(superposition,[],[f204,f306]) ).
fof(f1654,plain,
( ~ spl3_11
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f1653]) ).
fof(f1653,plain,
( $false
| ~ spl3_11
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f1652,f13]) ).
fof(f1652,plain,
( n10 = sK1
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1651,f118]) ).
fof(f118,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f1651,plain,
( sum(n9,n1) = sK1
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1650,f42]) ).
fof(f1650,plain,
( sK1 = sum(pred(n10),n1)
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1649,f57]) ).
fof(f1649,plain,
( sK1 = sum(pred(sum(n5,n5)),n1)
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1648,f127]) ).
fof(f1648,plain,
( sum(pred(sum(n5,succ(n4))),n1) = sK1
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1647,f9]) ).
fof(f1647,plain,
( sum(pred(sum(n5,succ(n4))),sum(n4,n8)) = sK1
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1646,f7]) ).
fof(f1646,plain,
( sum(pred(sum(n5,succ(n4))),sum(n4,pred(n9))) = sK1
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1645,f143]) ).
fof(f1645,plain,
( sK1 = sum(pred(sum(n5,succ(n4))),sum(n4,pred(sum(n5,n4))))
| ~ spl3_11
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1640,f261]) ).
fof(f1640,plain,
( sK1 = sum(pred(sum(sK2,succ(n4))),sum(n4,pred(sum(sK2,n4))))
| ~ spl3_13 ),
inference(superposition,[],[f204,f270]) ).
fof(f1639,plain,
( ~ spl3_11
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1638]) ).
fof(f1638,plain,
( $false
| ~ spl3_11
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f1637,f101]) ).
fof(f1637,plain,
( n6 = sK1
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1636,f59]) ).
fof(f1636,plain,
( sum(n4,n2) = sK1
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1635,f123]) ).
fof(f1635,plain,
( sum(pred(n5),n2) = sK1
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1634,f157]) ).
fof(f1634,plain,
( sK1 = sum(pred(sum(n5,n0)),n2)
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1633,f56]) ).
fof(f1633,plain,
( sK1 = sum(pred(sum(n5,succ(n10))),n2)
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1632,f30]) ).
fof(f1632,plain,
( sK1 = sum(pred(sum(n5,succ(n10))),sum(n10,n3))
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1631,f122]) ).
fof(f1631,plain,
( sK1 = sum(pred(sum(n5,succ(n10))),sum(n10,pred(n4)))
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1630,f54]) ).
fof(f54,plain,
n4 = sum(n5,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f1630,plain,
( sum(pred(sum(n5,succ(n10))),sum(n10,pred(sum(n5,n10)))) = sK1
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1624,f261]) ).
fof(f1624,plain,
( sK1 = sum(pred(sum(sK2,succ(n10))),sum(n10,pred(sum(sK2,n10))))
| ~ spl3_14 ),
inference(superposition,[],[f204,f274]) ).
fof(f1623,plain,
( ~ spl3_11
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1622]) ).
fof(f1622,plain,
( $false
| ~ spl3_11
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f1621,f74]) ).
fof(f1621,plain,
( n2 = sK1
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1620,f30]) ).
fof(f1620,plain,
( sum(n10,n3) = sK1
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1619,f43]) ).
fof(f1619,plain,
( sum(pred(n0),n3) = sK1
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1618,f200]) ).
fof(f1618,plain,
( sum(pred(sum(n5,n6)),n3) = sK1
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1617,f140]) ).
fof(f1617,plain,
( sK1 = sum(pred(sum(n5,succ(n5))),n3)
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1616,f201]) ).
fof(f1616,plain,
( sum(pred(sum(n5,succ(n5))),sum(n5,n9)) = sK1
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1615,f42]) ).
fof(f1615,plain,
( sum(pred(sum(n5,succ(n5))),sum(n5,pred(n10))) = sK1
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1614,f57]) ).
fof(f1614,plain,
( sum(pred(sum(n5,succ(n5))),sum(n5,pred(sum(n5,n5)))) = sK1
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1604,f290]) ).
fof(f1604,plain,
( sK1 = sum(pred(sum(n5,succ(sK0))),sum(sK0,pred(sum(n5,sK0))))
| ~ spl3_11 ),
inference(superposition,[],[f204,f261]) ).
fof(f1603,plain,
( ~ spl3_1
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1602]) ).
fof(f1602,plain,
( $false
| ~ spl3_1
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1601,f13]) ).
fof(f1601,plain,
( n10 = sK1
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1600,f75]) ).
fof(f1600,plain,
( sum(n4,n6) = sK1
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1599,f123]) ).
fof(f1599,plain,
( sK1 = sum(pred(n5),n6)
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1598,f38]) ).
fof(f1598,plain,
( sum(pred(sum(n1,n4)),n6) = sK1
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1597,f46]) ).
fof(f46,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f5]) ).
fof(f1597,plain,
( sum(pred(sum(n1,succ(n3))),n6) = sK1
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1596,f187]) ).
fof(f1596,plain,
( sum(pred(sum(n1,succ(n3))),sum(n3,n3)) = sK1
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1595,f122]) ).
fof(f1595,plain,
( sK1 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(n4)))
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1594,f203]) ).
fof(f1594,plain,
( sK1 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(sum(n1,n3))))
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1584,f302]) ).
fof(f302,plain,
( n3 = sK0
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f300,plain,
( spl3_21
<=> n3 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f1584,plain,
( sK1 = sum(pred(sum(n1,succ(sK0))),sum(sK0,pred(sum(n1,sK0))))
| ~ spl3_1 ),
inference(superposition,[],[f204,f221]) ).
fof(f1583,plain,
( ~ spl3_11
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1582]) ).
fof(f1582,plain,
( $false
| ~ spl3_11
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1581,f120]) ).
fof(f1581,plain,
( n7 = sK1
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1580,f165]) ).
fof(f1580,plain,
( sum(n8,n10) = sK1
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1579,f7]) ).
fof(f1579,plain,
( sK1 = sum(pred(n9),n10)
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1578,f143]) ).
fof(f1578,plain,
( sK1 = sum(pred(sum(n5,n4)),n10)
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1577,f46]) ).
fof(f1577,plain,
( sK1 = sum(pred(sum(n5,succ(n3))),n10)
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1576,f152]) ).
fof(f1576,plain,
( sum(pred(sum(n5,succ(n3))),sum(n3,n7)) = sK1
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1575,f164]) ).
fof(f1575,plain,
( sum(pred(sum(n5,succ(n3))),sum(n3,pred(n8))) = sK1
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1574,f216]) ).
fof(f1574,plain,
( sum(pred(sum(n5,succ(n3))),sum(n3,pred(sum(n5,n3)))) = sK1
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1563,f302]) ).
fof(f1563,plain,
( sK1 = sum(pred(sum(n5,succ(sK0))),sum(sK0,pred(sum(n5,sK0))))
| ~ spl3_11 ),
inference(superposition,[],[f204,f261]) ).
fof(f1562,plain,
( ~ spl3_5
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1561]) ).
fof(f1561,plain,
( $false
| ~ spl3_5
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1560,f108]) ).
fof(f1560,plain,
( n0 = sK1
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1559,f36]) ).
fof(f1559,plain,
( sum(n10,n1) = sK1
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1558,f43]) ).
fof(f1558,plain,
( sK1 = sum(pred(n0),n1)
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1557,f206]) ).
fof(f1557,plain,
( sum(pred(sum(n7,n4)),n1) = sK1
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1556,f46]) ).
fof(f1556,plain,
( sum(pred(sum(n7,succ(n3))),n1) = sK1
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1555,f131]) ).
fof(f1555,plain,
( sK1 = sum(pred(sum(n7,succ(n3))),sum(n3,n9))
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1554,f42]) ).
fof(f1554,plain,
( sK1 = sum(pred(sum(n7,succ(n3))),sum(n3,pred(n10)))
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1553,f141]) ).
fof(f1553,plain,
( sum(pred(sum(n7,succ(n3))),sum(n3,pred(sum(n7,n3)))) = sK1
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1546,f302]) ).
fof(f1546,plain,
( sK1 = sum(pred(sum(n7,succ(sK0))),sum(sK0,pred(sum(n7,sK0))))
| ~ spl3_5 ),
inference(superposition,[],[f204,f237]) ).
fof(f1544,plain,
( ~ spl3_3
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1543]) ).
fof(f1543,plain,
( $false
| ~ spl3_3
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1542,f74]) ).
fof(f1542,plain,
( n2 = sK1
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1541,f119]) ).
fof(f1541,plain,
( sum(n0,n2) = sK1
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1540,f182]) ).
fof(f1540,plain,
( sK1 = sum(pred(n1),n2)
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1539,f14]) ).
fof(f1539,plain,
( sK1 = sum(pred(sum(n8,n4)),n2)
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1538,f46]) ).
fof(f1538,plain,
( sK1 = sum(pred(sum(n8,succ(n3))),n2)
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1537,f55]) ).
fof(f1537,plain,
( sum(pred(sum(n8,succ(n3))),sum(n3,n10)) = sK1
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1536,f43]) ).
fof(f1536,plain,
( sum(pred(sum(n8,succ(n3))),sum(n3,pred(n0))) = sK1
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1535,f89]) ).
fof(f1535,plain,
( sum(pred(sum(n8,succ(n3))),sum(n3,pred(sum(n8,n3)))) = sK1
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1528,f302]) ).
fof(f1528,plain,
( sum(pred(sum(n8,succ(sK0))),sum(sK0,pred(sum(n8,sK0)))) = sK1
| ~ spl3_3 ),
inference(superposition,[],[f204,f229]) ).
fof(f1527,plain,
( ~ spl3_4
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1526]) ).
fof(f1526,plain,
( $false
| ~ spl3_4
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1525,f213]) ).
fof(f1525,plain,
( n8 = sK1
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1524,f139]) ).
fof(f1524,plain,
( sum(n3,n5) = sK1
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1523,f122]) ).
fof(f1523,plain,
( sum(pred(n4),n5) = sK1
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1522,f198]) ).
fof(f1522,plain,
( sum(pred(sum(n0,n4)),n5) = sK1
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1521,f46]) ).
fof(f1521,plain,
( sum(pred(sum(n0,succ(n3))),n5) = sK1
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1520,f124]) ).
fof(f1520,plain,
( sK1 = sum(pred(sum(n0,succ(n3))),sum(n3,n2))
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1519,f20]) ).
fof(f1519,plain,
( sum(pred(sum(n0,succ(n3))),sum(n3,pred(n3))) = sK1
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1518,f191]) ).
fof(f1518,plain,
( sK1 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(sum(n0,n3))))
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1510,f302]) ).
fof(f1510,plain,
( sK1 = sum(pred(sum(n0,succ(sK0))),sum(sK0,pred(sum(n0,sK0))))
| ~ spl3_4 ),
inference(superposition,[],[f204,f233]) ).
fof(f1508,plain,
( ~ spl3_6
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1507,plain,
( $false
| ~ spl3_6
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1506,f101]) ).
fof(f1506,plain,
( n6 = sK1
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1505,f93]) ).
fof(f1505,plain,
( sum(n2,n4) = sK1
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1504,f20]) ).
fof(f1504,plain,
( sK1 = sum(pred(n3),n4)
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1503,f90]) ).
fof(f1503,plain,
( sK1 = sum(pred(sum(n10,n4)),n4)
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1502,f46]) ).
fof(f1502,plain,
( sum(pred(sum(n10,succ(n3))),n4) = sK1
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1501,f129]) ).
fof(f1501,plain,
( sK1 = sum(pred(sum(n10,succ(n3))),sum(n3,n1))
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1500,f163]) ).
fof(f1500,plain,
( sK1 = sum(pred(sum(n10,succ(n3))),sum(n3,pred(n2)))
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1499,f30]) ).
fof(f1499,plain,
( sK1 = sum(pred(sum(n10,succ(n3))),sum(n3,pred(sum(n10,n3))))
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1490,f302]) ).
fof(f1490,plain,
( sum(pred(sum(n10,succ(sK0))),sum(sK0,pred(sum(n10,sK0)))) = sK1
| ~ spl3_6 ),
inference(superposition,[],[f204,f241]) ).
fof(f1489,plain,
( ~ spl3_7
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1488]) ).
fof(f1488,plain,
( $false
| ~ spl3_7
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1487,f19]) ).
fof(f1487,plain,
( n3 = sK1
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1486,f22]) ).
fof(f22,plain,
n3 = sum(n6,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f1486,plain,
( sum(n6,n8) = sK1
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1485,f209]) ).
fof(f1485,plain,
( sum(pred(n7),n8) = sK1
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1484,f24]) ).
fof(f1484,plain,
( sum(pred(sum(n3,n4)),n8) = sK1
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1483,f46]) ).
fof(f1483,plain,
( sK1 = sum(pred(sum(n3,succ(n3))),n8)
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1482,f139]) ).
fof(f1482,plain,
( sK1 = sum(pred(sum(n3,succ(n3))),sum(n3,n5))
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1481,f125]) ).
fof(f1481,plain,
( sK1 = sum(pred(sum(n3,succ(n3))),sum(n3,pred(n6)))
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1480,f187]) ).
fof(f1480,plain,
( sum(pred(sum(n3,succ(n3))),sum(n3,pred(sum(n3,n3)))) = sK1
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1471,f302]) ).
fof(f1471,plain,
( sK1 = sum(pred(sum(n3,succ(sK0))),sum(sK0,pred(sum(n3,sK0))))
| ~ spl3_7 ),
inference(superposition,[],[f204,f245]) ).
fof(f1469,plain,
( ~ spl3_10
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1468]) ).
fof(f1468,plain,
( $false
| ~ spl3_10
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f1467,f13]) ).
fof(f1467,plain,
( n10 = sK1
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1466,f81]) ).
fof(f1466,plain,
( sum(n2,n8) = sK1
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1465,f20]) ).
fof(f1465,plain,
( sK1 = sum(pred(n3),n8)
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1464,f22]) ).
fof(f1464,plain,
( sum(pred(sum(n6,n8)),n8) = sK1
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1463,f79]) ).
fof(f1463,plain,
( sK1 = sum(pred(sum(n6,succ(n7))),n8)
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1462,f184]) ).
fof(f1462,plain,
( sK1 = sum(pred(sum(n6,succ(n7))),sum(n7,n1))
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1461,f163]) ).
fof(f1461,plain,
( sK1 = sum(pred(sum(n6,succ(n7))),sum(n7,pred(n2)))
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1460,f177]) ).
fof(f177,plain,
n2 = sum(n6,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f1460,plain,
( sK1 = sum(pred(sum(n6,succ(n7))),sum(n7,pred(sum(n6,n7))))
| ~ spl3_10
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1452,f257]) ).
fof(f257,plain,
( n6 = sK2
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl3_10
<=> n6 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f1452,plain,
( sK1 = sum(pred(sum(sK2,succ(n7))),sum(n7,pred(sum(sK2,n7))))
| ~ spl3_16 ),
inference(superposition,[],[f204,f282]) ).
fof(f1450,plain,
( ~ spl3_10
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1449,plain,
( $false
| ~ spl3_10
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f1448,f101]) ).
fof(f1448,plain,
( n6 = sK1
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1447,f60]) ).
fof(f60,plain,
n6 = sum(n8,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1447,plain,
( sum(n8,n9) = sK1
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1446,f7]) ).
fof(f1446,plain,
( sK1 = sum(pred(n9),n9)
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1445,f159]) ).
fof(f159,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f1445,plain,
( sK1 = sum(pred(sum(n6,n3)),n9)
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1444,f153]) ).
fof(f1444,plain,
( sK1 = sum(pred(sum(n6,succ(n2))),n9)
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1443,f21]) ).
fof(f21,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f1443,plain,
( sK1 = sum(pred(sum(n6,succ(n2))),sum(n2,n7))
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1442,f164]) ).
fof(f1442,plain,
( sK1 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(n8)))
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1441,f132]) ).
fof(f132,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f1441,plain,
( sK1 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(sum(n6,n2))))
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1432,f257]) ).
fof(f1432,plain,
( sK1 = sum(pred(sum(sK2,succ(n2))),sum(n2,pred(sum(sK2,n2))))
| ~ spl3_20 ),
inference(superposition,[],[f204,f298]) ).
fof(f1430,plain,
( ~ spl3_10
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1429,plain,
( $false
| ~ spl3_10
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f1428,f19]) ).
fof(f1428,plain,
( n3 = sK1
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1427,f130]) ).
fof(f1427,plain,
( sum(n7,n7) = sK1
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1426,f164]) ).
fof(f1426,plain,
( sK1 = sum(pred(n8),n7)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1425,f132]) ).
fof(f1425,plain,
( sK1 = sum(pred(sum(n6,n2)),n7)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1424,f86]) ).
fof(f1424,plain,
( sK1 = sum(pred(sum(n6,succ(n1))),n7)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1423,f32]) ).
fof(f1423,plain,
( sum(pred(sum(n6,succ(n1))),sum(n1,n6)) = sK1
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1422,f209]) ).
fof(f1422,plain,
( sK1 = sum(pred(sum(n6,succ(n1))),sum(n1,pred(n7)))
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1421,f102]) ).
fof(f1421,plain,
( sum(pred(sum(n6,succ(n1))),sum(n1,pred(sum(n6,n1)))) = sK1
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1411,f257]) ).
fof(f1411,plain,
( sK1 = sum(pred(sum(sK2,succ(n1))),sum(n1,pred(sum(sK2,n1))))
| ~ spl3_22 ),
inference(superposition,[],[f204,f306]) ).
fof(f1409,plain,
( ~ spl3_10
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1408]) ).
fof(f1408,plain,
( $false
| ~ spl3_10
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f1407,f213]) ).
fof(f1407,plain,
( n8 = sK1
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1406,f216]) ).
fof(f1406,plain,
( sum(n5,n3) = sK1
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1405,f125]) ).
fof(f1405,plain,
( sK1 = sum(pred(n6),n3)
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1404,f189]) ).
fof(f189,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f1404,plain,
( sK1 = sum(pred(sum(n6,n0)),n3)
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1403,f56]) ).
fof(f1403,plain,
( sK1 = sum(pred(sum(n6,succ(n10))),n3)
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1402,f90]) ).
fof(f1402,plain,
( sK1 = sum(pred(sum(n6,succ(n10))),sum(n10,n4))
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1401,f123]) ).
fof(f1401,plain,
( sum(pred(sum(n6,succ(n10))),sum(n10,pred(n5))) = sK1
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1400,f114]) ).
fof(f1400,plain,
( sum(pred(sum(n6,succ(n10))),sum(n10,pred(sum(n6,n10)))) = sK1
| ~ spl3_10
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1391,f257]) ).
fof(f1391,plain,
( sK1 = sum(pred(sum(sK2,succ(n10))),sum(n10,pred(sum(sK2,n10))))
| ~ spl3_14 ),
inference(superposition,[],[f204,f274]) ).
fof(f1390,plain,
( ~ spl3_10
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1389,plain,
( $false
| ~ spl3_10
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f1388,f11]) ).
fof(f1388,plain,
( n1 = sK1
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1387,f185]) ).
fof(f1387,plain,
( sum(n10,n2) = sK1
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1386,f43]) ).
fof(f1386,plain,
( sK1 = sum(pred(n0),n2)
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1385,f176]) ).
fof(f176,plain,
n0 = sum(n6,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f1385,plain,
( sum(pred(sum(n6,n5)),n2) = sK1
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1384,f127]) ).
fof(f1384,plain,
( sK1 = sum(pred(sum(n6,succ(n4))),n2)
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1383,f80]) ).
fof(f80,plain,
n2 = sum(n4,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1383,plain,
( sum(pred(sum(n6,succ(n4))),sum(n4,n9)) = sK1
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1382,f42]) ).
fof(f1382,plain,
( sK1 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(n10)))
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1381,f87]) ).
fof(f1381,plain,
( sK1 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(sum(n6,n4))))
| ~ spl3_10
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1372,f257]) ).
fof(f1372,plain,
( sK1 = sum(pred(sum(sK2,succ(n4))),sum(n4,pred(sum(sK2,n4))))
| ~ spl3_13 ),
inference(superposition,[],[f204,f270]) ).
fof(f1371,plain,
( ~ spl3_10
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1370,plain,
( $false
| ~ spl3_10
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1369,f108]) ).
fof(f1369,plain,
( n0 = sK1
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1368,f176]) ).
fof(f1368,plain,
( sum(n6,n5) = sK1
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1367,f209]) ).
fof(f1367,plain,
( sK1 = sum(pred(n7),n5)
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1366,f102]) ).
fof(f1366,plain,
( sK1 = sum(pred(sum(n6,n1)),n5)
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1365,f58]) ).
fof(f1365,plain,
( sK1 = sum(pred(sum(n6,succ(n0))),n5)
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1364,f136]) ).
fof(f1364,plain,
( sK1 = sum(pred(sum(n6,succ(n0))),sum(n0,n5))
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1363,f125]) ).
fof(f1363,plain,
( sum(pred(sum(n6,succ(n0))),sum(n0,pred(n6))) = sK1
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1362,f189]) ).
fof(f1362,plain,
( sum(pred(sum(n6,succ(n0))),sum(n0,pred(sum(n6,n0)))) = sK1
| ~ spl3_10
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1353,f257]) ).
fof(f1353,plain,
( sum(pred(sum(sK2,succ(n0))),sum(n0,pred(sum(sK2,n0)))) = sK1
| ~ spl3_12 ),
inference(superposition,[],[f204,f266]) ).
fof(f1352,plain,
( ~ spl3_10
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1351]) ).
fof(f1351,plain,
( $false
| ~ spl3_10
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1350,f105]) ).
fof(f1350,plain,
( n9 = sK1
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1349,f169]) ).
fof(f169,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f1349,plain,
( sum(n9,n0) = sK1
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1348,f42]) ).
fof(f1348,plain,
( sum(pred(n10),n0) = sK1
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1347,f87]) ).
fof(f1347,plain,
( sum(pred(sum(n6,n4)),n0) = sK1
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1346,f46]) ).
fof(f1346,plain,
( sK1 = sum(pred(sum(n6,succ(n3))),n0)
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1345,f111]) ).
fof(f1345,plain,
( sum(pred(sum(n6,succ(n3))),sum(n3,n8)) = sK1
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1344,f7]) ).
fof(f1344,plain,
( sum(pred(sum(n6,succ(n3))),sum(n3,pred(n9))) = sK1
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1343,f159]) ).
fof(f1343,plain,
( sK1 = sum(pred(sum(n6,succ(n3))),sum(n3,pred(sum(n6,n3))))
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1333,f257]) ).
fof(f1333,plain,
( sK1 = sum(pred(sum(sK2,succ(n3))),sum(n3,pred(sum(sK2,n3))))
| ~ spl3_21 ),
inference(superposition,[],[f204,f302]) ).
fof(f1331,plain,
( ~ spl3_10
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1330,plain,
( $false
| ~ spl3_10
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f1329,f53]) ).
fof(f1329,plain,
( n4 = sK1
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1328,f198]) ).
fof(f1328,plain,
( sum(n0,n4) = sK1
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1327,f182]) ).
fof(f1327,plain,
( sK1 = sum(pred(n1),n4)
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1326,f17]) ).
fof(f1326,plain,
( sK1 = sum(pred(sum(n6,n6)),n4)
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1325,f140]) ).
fof(f1325,plain,
( sK1 = sum(pred(sum(n6,succ(n5))),n4)
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1324,f54]) ).
fof(f1324,plain,
( sK1 = sum(pred(sum(n6,succ(n5))),sum(n5,n10))
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1323,f43]) ).
fof(f1323,plain,
( sK1 = sum(pred(sum(n6,succ(n5))),sum(n5,pred(n0)))
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1322,f176]) ).
fof(f1322,plain,
( sum(pred(sum(n6,succ(n5))),sum(n5,pred(sum(n6,n5)))) = sK1
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1313,f290]) ).
fof(f1313,plain,
( sK1 = sum(pred(sum(n6,succ(sK0))),sum(sK0,pred(sum(n6,sK0))))
| ~ spl3_10 ),
inference(superposition,[],[f204,f257]) ).
fof(f1312,plain,
( ~ spl3_6
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1311,plain,
( $false
| ~ spl3_6
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1310,f13]) ).
fof(f1310,plain,
( n10 = sK1
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1309,f141]) ).
fof(f1309,plain,
( sum(n7,n3) = sK1
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1308,f164]) ).
fof(f1308,plain,
( sum(pred(n8),n3) = sK1
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1307,f6]) ).
fof(f1307,plain,
( sum(pred(sum(n10,n9)),n3) = sK1
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1306,f117]) ).
fof(f117,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f5]) ).
fof(f1306,plain,
( sK1 = sum(pred(sum(n10,succ(n8))),n3)
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1305,f161]) ).
fof(f1305,plain,
( sK1 = sum(pred(sum(n10,succ(n8))),sum(n8,n6))
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1304,f209]) ).
fof(f1304,plain,
( sum(pred(sum(n10,succ(n8))),sum(n8,pred(n7))) = sK1
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1303,f95]) ).
fof(f1303,plain,
( sK1 = sum(pred(sum(n10,succ(n8))),sum(n8,pred(sum(n10,n8))))
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1294,f294]) ).
fof(f294,plain,
( n8 = sK0
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl3_19
<=> n8 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f1294,plain,
( sum(pred(sum(n10,succ(sK0))),sum(sK0,pred(sum(n10,sK0)))) = sK1
| ~ spl3_6 ),
inference(superposition,[],[f204,f241]) ).
fof(f1293,plain,
( ~ spl3_10
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1292]) ).
fof(f1292,plain,
( $false
| ~ spl3_10
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1291,f74]) ).
fof(f1291,plain,
( n2 = sK1
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1290,f55]) ).
fof(f1290,plain,
( sum(n3,n10) = sK1
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1289,f122]) ).
fof(f1289,plain,
( sK1 = sum(pred(n4),n10)
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1288,f98]) ).
fof(f98,plain,
n4 = sum(n6,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1288,plain,
( sum(pred(sum(n6,n9)),n10) = sK1
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1287,f117]) ).
fof(f1287,plain,
( sum(pred(sum(n6,succ(n8))),n10) = sK1
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1286,f154]) ).
fof(f1286,plain,
( sK1 = sum(pred(sum(n6,succ(n8))),sum(n8,n2))
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1285,f20]) ).
fof(f1285,plain,
( sum(pred(sum(n6,succ(n8))),sum(n8,pred(n3))) = sK1
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1284,f22]) ).
fof(f1284,plain,
( sK1 = sum(pred(sum(n6,succ(n8))),sum(n8,pred(sum(n6,n8))))
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1275,f294]) ).
fof(f1275,plain,
( sK1 = sum(pred(sum(n6,succ(sK0))),sum(sK0,pred(sum(n6,sK0))))
| ~ spl3_10 ),
inference(superposition,[],[f204,f257]) ).
fof(f1273,plain,
( ~ spl3_11
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1272]) ).
fof(f1272,plain,
( $false
| ~ spl3_11
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1271,f108]) ).
fof(f1271,plain,
( n0 = sK1
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1270,f142]) ).
fof(f1270,plain,
( sum(n2,n9) = sK1
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1269,f20]) ).
fof(f1269,plain,
( sum(pred(n3),n9) = sK1
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1268,f201]) ).
fof(f1268,plain,
( sK1 = sum(pred(sum(n5,n9)),n9)
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1267,f117]) ).
fof(f1267,plain,
( sK1 = sum(pred(sum(n5,succ(n8))),n9)
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1266,f39]) ).
fof(f1266,plain,
( sK1 = sum(pred(sum(n5,succ(n8))),sum(n8,n1))
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1265,f163]) ).
fof(f1265,plain,
( sum(pred(sum(n5,succ(n8))),sum(n8,pred(n2))) = sK1
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1264,f68]) ).
fof(f1264,plain,
( sum(pred(sum(n5,succ(n8))),sum(n8,pred(sum(n5,n8)))) = sK1
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1254,f294]) ).
fof(f1254,plain,
( sK1 = sum(pred(sum(n5,succ(sK0))),sum(sK0,pred(sum(n5,sK0))))
| ~ spl3_11 ),
inference(superposition,[],[f204,f261]) ).
fof(f1252,plain,
( ~ spl3_3
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1251]) ).
fof(f1251,plain,
( $false
| ~ spl3_3
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1250,f101]) ).
fof(f1250,plain,
( n6 = sK1
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1249,f26]) ).
fof(f1249,plain,
( sum(n5,n1) = sK1
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1248,f125]) ).
fof(f1248,plain,
( sK1 = sum(pred(n6),n1)
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1247,f60]) ).
fof(f1247,plain,
( sK1 = sum(pred(sum(n8,n9)),n1)
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1246,f117]) ).
fof(f1246,plain,
( sK1 = sum(pred(sum(n8,succ(n8))),n1)
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1245,f14]) ).
fof(f1245,plain,
( sK1 = sum(pred(sum(n8,succ(n8))),sum(n8,n4))
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1244,f123]) ).
fof(f1244,plain,
( sK1 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(n5)))
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1243,f205]) ).
fof(f1243,plain,
( sK1 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(sum(n8,n8))))
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1234,f294]) ).
fof(f1234,plain,
( sum(pred(sum(n8,succ(sK0))),sum(sK0,pred(sum(n8,sK0)))) = sK1
| ~ spl3_3 ),
inference(superposition,[],[f204,f229]) ).
fof(f1233,plain,
( ~ spl3_7
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1232]) ).
fof(f1232,plain,
( $false
| ~ spl3_7
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1231,f120]) ).
fof(f1231,plain,
( n7 = sK1
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1230,f147]) ).
fof(f1230,plain,
( sum(n0,n7) = sK1
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1229,f182]) ).
fof(f1229,plain,
( sum(pred(n1),n7) = sK1
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1228,f131]) ).
fof(f1228,plain,
( sum(pred(sum(n3,n9)),n7) = sK1
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1227,f117]) ).
fof(f1227,plain,
( sK1 = sum(pred(sum(n3,succ(n8))),n7)
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1226,f165]) ).
fof(f1226,plain,
( sK1 = sum(pred(sum(n3,succ(n8))),sum(n8,n10))
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1225,f43]) ).
fof(f1225,plain,
( sum(pred(sum(n3,succ(n8))),sum(n8,pred(n0))) = sK1
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1224,f111]) ).
fof(f1224,plain,
( sK1 = sum(pred(sum(n3,succ(n8))),sum(n8,pred(sum(n3,n8))))
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1214,f294]) ).
fof(f1214,plain,
( sK1 = sum(pred(sum(n3,succ(sK0))),sum(sK0,pred(sum(n3,sK0))))
| ~ spl3_7 ),
inference(superposition,[],[f204,f245]) ).
fof(f1213,plain,
( ~ spl3_1
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1212]) ).
fof(f1212,plain,
( $false
| ~ spl3_1
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1211,f19]) ).
fof(f1211,plain,
( n3 = sK1
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1210,f23]) ).
fof(f23,plain,
n3 = sum(n9,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f1210,plain,
( sum(n9,n5) = sK1
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1209,f42]) ).
fof(f1209,plain,
( sK1 = sum(pred(n10),n5)
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1208,f72]) ).
fof(f72,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1208,plain,
( sum(pred(sum(n1,n9)),n5) = sK1
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1207,f117]) ).
fof(f1207,plain,
( sK1 = sum(pred(sum(n1,succ(n8))),n5)
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1206,f205]) ).
fof(f1206,plain,
( sK1 = sum(pred(sum(n1,succ(n8))),sum(n8,n8))
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1205,f7]) ).
fof(f1205,plain,
( sK1 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(n9)))
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1204,f158]) ).
fof(f1204,plain,
( sK1 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(sum(n1,n8))))
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1195,f294]) ).
fof(f1195,plain,
( sK1 = sum(pred(sum(n1,succ(sK0))),sum(sK0,pred(sum(n1,sK0))))
| ~ spl3_1 ),
inference(superposition,[],[f204,f221]) ).
fof(f1194,plain,
( ~ spl3_5
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1193]) ).
fof(f1193,plain,
( $false
| ~ spl3_5
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1192,f53]) ).
fof(f1192,plain,
( n4 = sK1
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1191,f66]) ).
fof(f1191,plain,
( sum(n4,n0) = sK1
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1190,f123]) ).
fof(f1190,plain,
( sK1 = sum(pred(n5),n0)
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1189,f208]) ).
fof(f1189,plain,
( sum(pred(sum(n7,n9)),n0) = sK1
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1188,f117]) ).
fof(f1188,plain,
( sK1 = sum(pred(sum(n7,succ(n8))),n0)
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1187,f89]) ).
fof(f1187,plain,
( sK1 = sum(pred(sum(n7,succ(n8))),sum(n8,n3))
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1186,f122]) ).
fof(f1186,plain,
( sK1 = sum(pred(sum(n7,succ(n8))),sum(n8,pred(n4)))
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1185,f76]) ).
fof(f1185,plain,
( sK1 = sum(pred(sum(n7,succ(n8))),sum(n8,pred(sum(n7,n8))))
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1175,f294]) ).
fof(f1175,plain,
( sK1 = sum(pred(sum(n7,succ(sK0))),sum(sK0,pred(sum(n7,sK0))))
| ~ spl3_5 ),
inference(superposition,[],[f204,f237]) ).
fof(f1174,plain,
( ~ spl3_4
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1173,plain,
( $false
| ~ spl3_4
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1172,f11]) ).
fof(f1172,plain,
( n1 = sK1
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1171,f14]) ).
fof(f1171,plain,
( sum(n8,n4) = sK1
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1170,f7]) ).
fof(f1170,plain,
( sK1 = sum(pred(n9),n4)
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1169,f195]) ).
fof(f1169,plain,
( sK1 = sum(pred(sum(n0,n9)),n4)
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1168,f117]) ).
fof(f1168,plain,
( sK1 = sum(pred(sum(n0,succ(n8))),n4)
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1167,f214]) ).
fof(f1167,plain,
( sK1 = sum(pred(sum(n0,succ(n8))),sum(n8,n7))
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1166,f164]) ).
fof(f1166,plain,
( sum(pred(sum(n0,succ(n8))),sum(n8,pred(n8))) = sK1
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1165,f52]) ).
fof(f1165,plain,
( sum(pred(sum(n0,succ(n8))),sum(n8,pred(sum(n0,n8)))) = sK1
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1156,f294]) ).
fof(f1156,plain,
( sK1 = sum(pred(sum(n0,succ(sK0))),sum(sK0,pred(sum(n0,sK0))))
| ~ spl3_4 ),
inference(superposition,[],[f204,f233]) ).
fof(f1155,plain,
( ~ spl3_9
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1154,plain,
( $false
| ~ spl3_9
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1153,f178]) ).
fof(f1153,plain,
( n5 = sK1
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1152,f208]) ).
fof(f1152,plain,
( sum(n7,n9) = sK1
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1151,f164]) ).
fof(f1151,plain,
( sK1 = sum(pred(n8),n9)
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1150,f175]) ).
fof(f1150,plain,
( sK1 = sum(pred(sum(n4,n4)),n9)
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1149,f46]) ).
fof(f1149,plain,
( sK1 = sum(pred(sum(n4,succ(n3))),n9)
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1148,f73]) ).
fof(f1148,plain,
( sK1 = sum(pred(sum(n4,succ(n3))),sum(n3,n6))
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1147,f209]) ).
fof(f1147,plain,
( sum(pred(sum(n4,succ(n3))),sum(n3,pred(n7))) = sK1
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1146,f107]) ).
fof(f1146,plain,
( sK1 = sum(pred(sum(n4,succ(n3))),sum(n3,pred(sum(n4,n3))))
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1137,f253]) ).
fof(f253,plain,
( n4 = sK2
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl3_9
<=> n4 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f1137,plain,
( sK1 = sum(pred(sum(sK2,succ(n3))),sum(n3,pred(sum(sK2,n3))))
| ~ spl3_21 ),
inference(superposition,[],[f204,f302]) ).
fof(f1135,plain,
( ~ spl3_9
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1134]) ).
fof(f1134,plain,
( $false
| ~ spl3_9
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f1133,f101]) ).
fof(f1133,plain,
( n6 = sK1
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1132,f112]) ).
fof(f1132,plain,
( sum(n0,n6) = sK1
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1131,f182]) ).
fof(f1131,plain,
( sK1 = sum(pred(n1),n6)
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1130,f9]) ).
fof(f1130,plain,
( sum(pred(sum(n4,n8)),n6) = sK1
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1129,f79]) ).
fof(f1129,plain,
( sK1 = sum(pred(sum(n4,succ(n7))),n6)
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1128,f70]) ).
fof(f1128,plain,
( sK1 = sum(pred(sum(n4,succ(n7))),sum(n7,n10))
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1127,f43]) ).
fof(f1127,plain,
( sK1 = sum(pred(sum(n4,succ(n7))),sum(n7,pred(n0)))
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1126,f181]) ).
fof(f1126,plain,
( sK1 = sum(pred(sum(n4,succ(n7))),sum(n7,pred(sum(n4,n7))))
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f1117,f253]) ).
fof(f1117,plain,
( sK1 = sum(pred(sum(sK2,succ(n7))),sum(n7,pred(sum(sK2,n7))))
| ~ spl3_16 ),
inference(superposition,[],[f204,f282]) ).
fof(f1116,plain,
( ~ spl3_9
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1115]) ).
fof(f1115,plain,
( $false
| ~ spl3_9
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f1114,f74]) ).
fof(f1114,plain,
( n2 = sK1
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1113,f177]) ).
fof(f1113,plain,
( sum(n6,n7) = sK1
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1112,f209]) ).
fof(f1112,plain,
( sK1 = sum(pred(n7),n7)
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1111,f107]) ).
fof(f1111,plain,
( sum(pred(sum(n4,n3)),n7) = sK1
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1110,f153]) ).
fof(f1110,plain,
( sum(pred(sum(n4,succ(n2))),n7) = sK1
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1109,f179]) ).
fof(f179,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f1109,plain,
( sK1 = sum(pred(sum(n4,succ(n2))),sum(n2,n5))
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1108,f125]) ).
fof(f1108,plain,
( sum(pred(sum(n4,succ(n2))),sum(n2,pred(n6))) = sK1
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1107,f59]) ).
fof(f1107,plain,
( sK1 = sum(pred(sum(n4,succ(n2))),sum(n2,pred(sum(n4,n2))))
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1097,f253]) ).
fof(f1097,plain,
( sK1 = sum(pred(sum(sK2,succ(n2))),sum(n2,pred(sum(sK2,n2))))
| ~ spl3_20 ),
inference(superposition,[],[f204,f298]) ).
fof(f1096,plain,
( ~ spl3_9
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| ~ spl3_9
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f1094,f213]) ).
fof(f1094,plain,
( n8 = sK1
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1093,f171]) ).
fof(f1093,plain,
( sum(n8,n0) = sK1
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1092,f7]) ).
fof(f1092,plain,
( sK1 = sum(pred(n9),n0)
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1091,f69]) ).
fof(f69,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f1091,plain,
( sK1 = sum(pred(sum(n4,n5)),n0)
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1090,f127]) ).
fof(f1090,plain,
( sK1 = sum(pred(sum(n4,succ(n4))),n0)
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1089,f181]) ).
fof(f1089,plain,
( sum(pred(sum(n4,succ(n4))),sum(n4,n7)) = sK1
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1088,f164]) ).
fof(f1088,plain,
( sK1 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(n8)))
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1087,f175]) ).
fof(f1087,plain,
( sK1 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(sum(n4,n4))))
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f1080,f253]) ).
fof(f1080,plain,
( sK1 = sum(pred(sum(sK2,succ(n4))),sum(n4,pred(sum(sK2,n4))))
| ~ spl3_13 ),
inference(superposition,[],[f204,f270]) ).
fof(f1079,plain,
( ~ spl3_9
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f1078]) ).
fof(f1078,plain,
( $false
| ~ spl3_9
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f1077,f120]) ).
fof(f1077,plain,
( n7 = sK1
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1076,f107]) ).
fof(f1076,plain,
( sum(n4,n3) = sK1
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1075,f123]) ).
fof(f1075,plain,
( sK1 = sum(pred(n5),n3)
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1074,f115]) ).
fof(f115,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f1074,plain,
( sK1 = sum(pred(sum(n4,n1)),n3)
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1073,f58]) ).
fof(f1073,plain,
( sK1 = sum(pred(sum(n4,succ(n0))),n3)
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1072,f191]) ).
fof(f1072,plain,
( sK1 = sum(pred(sum(n4,succ(n0))),sum(n0,n3))
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1071,f122]) ).
fof(f1071,plain,
( sK1 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(n4)))
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1070,f66]) ).
fof(f1070,plain,
( sK1 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(sum(n4,n0))))
| ~ spl3_9
| ~ spl3_12 ),
inference(forward_demodulation,[],[f1063,f253]) ).
fof(f1063,plain,
( sum(pred(sum(sK2,succ(n0))),sum(n0,pred(sum(sK2,n0)))) = sK1
| ~ spl3_12 ),
inference(superposition,[],[f204,f266]) ).
fof(f1062,plain,
( ~ spl3_9
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1061,plain,
( $false
| ~ spl3_9
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f1060,f53]) ).
fof(f1060,plain,
( n4 = sK1
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1059,f129]) ).
fof(f1059,plain,
( sum(n3,n1) = sK1
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1058,f122]) ).
fof(f1058,plain,
( sK1 = sum(pred(n4),n1)
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1057,f66]) ).
fof(f1057,plain,
( sK1 = sum(pred(sum(n4,n0)),n1)
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1056,f56]) ).
fof(f1056,plain,
( sK1 = sum(pred(sum(n4,succ(n10))),n1)
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1055,f185]) ).
fof(f1055,plain,
( sK1 = sum(pred(sum(n4,succ(n10))),sum(n10,n2))
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1054,f20]) ).
fof(f1054,plain,
( sum(pred(sum(n4,succ(n10))),sum(n10,pred(n3))) = sK1
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1053,f110]) ).
fof(f1053,plain,
( sK1 = sum(pred(sum(n4,succ(n10))),sum(n10,pred(sum(n4,n10))))
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f1045,f253]) ).
fof(f1045,plain,
( sK1 = sum(pred(sum(sK2,succ(n10))),sum(n10,pred(sum(sK2,n10))))
| ~ spl3_14 ),
inference(superposition,[],[f204,f274]) ).
fof(f1044,plain,
( ~ spl3_9
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1043]) ).
fof(f1043,plain,
( $false
| ~ spl3_9
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1042,f105]) ).
fof(f1042,plain,
( n9 = sK1
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1041,f158]) ).
fof(f1041,plain,
( sum(n1,n8) = sK1
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1040,f163]) ).
fof(f1040,plain,
( sum(pred(n2),n8) = sK1
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1039,f80]) ).
fof(f1039,plain,
( sum(pred(sum(n4,n9)),n8) = sK1
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1038,f117]) ).
fof(f1038,plain,
( sK1 = sum(pred(sum(n4,succ(n8))),n8)
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1037,f171]) ).
fof(f1037,plain,
( sK1 = sum(pred(sum(n4,succ(n8))),sum(n8,n0))
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1036,f182]) ).
fof(f1036,plain,
( sum(pred(sum(n4,succ(n8))),sum(n8,pred(n1))) = sK1
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1035,f9]) ).
fof(f1035,plain,
( sK1 = sum(pred(sum(n4,succ(n8))),sum(n8,pred(sum(n4,n8))))
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1027,f253]) ).
fof(f1027,plain,
( sK1 = sum(pred(sum(sK2,succ(n8))),sum(n8,pred(sum(sK2,n8))))
| ~ spl3_19 ),
inference(superposition,[],[f204,f294]) ).
fof(f1024,plain,
( ~ spl3_9
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1023]) ).
fof(f1023,plain,
( $false
| ~ spl3_9
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f1022,f13]) ).
fof(f1022,plain,
( n10 = sK1
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1021,f57]) ).
fof(f1021,plain,
( sum(n5,n5) = sK1
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1020,f125]) ).
fof(f1020,plain,
( sK1 = sum(pred(n6),n5)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1019,f59]) ).
fof(f1019,plain,
( sK1 = sum(pred(sum(n4,n2)),n5)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1018,f86]) ).
fof(f1018,plain,
( sK1 = sum(pred(sum(n4,succ(n1))),n5)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1017,f38]) ).
fof(f1017,plain,
( sum(pred(sum(n4,succ(n1))),sum(n1,n4)) = sK1
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1016,f123]) ).
fof(f1016,plain,
( sum(pred(sum(n4,succ(n1))),sum(n1,pred(n5))) = sK1
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1015,f115]) ).
fof(f1015,plain,
( sum(pred(sum(n4,succ(n1))),sum(n1,pred(sum(n4,n1)))) = sK1
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f996,f306]) ).
fof(f996,plain,
( sK1 = sum(pred(sum(n4,succ(sK0))),sum(sK0,pred(sum(n4,sK0))))
| ~ spl3_9 ),
inference(superposition,[],[f204,f253]) ).
fof(f1014,plain,
( ~ spl3_9
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1013]) ).
fof(f1013,plain,
( $false
| ~ spl3_9
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f1012,f108]) ).
fof(f1012,plain,
( n0 = sK1
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1011,f10]) ).
fof(f10,plain,
n0 = sum(n9,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f1011,plain,
( sum(n9,n2) = sK1
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1010,f42]) ).
fof(f1010,plain,
( sK1 = sum(pred(n10),n2)
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1009,f75]) ).
fof(f1009,plain,
( sum(pred(sum(n4,n6)),n2) = sK1
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1008,f140]) ).
fof(f1008,plain,
( sK1 = sum(pred(sum(n4,succ(n5))),n2)
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1007,f68]) ).
fof(f1007,plain,
( sK1 = sum(pred(sum(n4,succ(n5))),sum(n5,n8))
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1006,f7]) ).
fof(f1006,plain,
( sK1 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(n9)))
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1005,f69]) ).
fof(f1005,plain,
( sK1 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(sum(n4,n5))))
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f996,f290]) ).
fof(f995,plain,
( ~ spl3_5
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f994,plain,
( $false
| ~ spl3_5
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f993,f120]) ).
fof(f993,plain,
( n7 = sK1
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f992,f82]) ).
fof(f992,plain,
( sum(n5,n2) = sK1
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f991,f125]) ).
fof(f991,plain,
( sK1 = sum(pred(n6),n2)
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f990,f70]) ).
fof(f990,plain,
( sK1 = sum(pred(sum(n7,n10)),n2)
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f989,f188]) ).
fof(f188,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f5]) ).
fof(f989,plain,
( sK1 = sum(pred(sum(n7,succ(n9))),n2)
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f988,f207]) ).
fof(f207,plain,
n2 = sum(n9,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f988,plain,
( sum(pred(sum(n7,succ(n9))),sum(n9,n4)) = sK1
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f987,f123]) ).
fof(f987,plain,
( sK1 = sum(pred(sum(n7,succ(n9))),sum(n9,pred(n5)))
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f986,f208]) ).
fof(f986,plain,
( sK1 = sum(pred(sum(n7,succ(n9))),sum(n9,pred(sum(n7,n9))))
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f976,f286]) ).
fof(f286,plain,
( n9 = sK0
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl3_17
<=> n9 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f976,plain,
( sK1 = sum(pred(sum(n7,succ(sK0))),sum(sK0,pred(sum(n7,sK0))))
| ~ spl3_5 ),
inference(superposition,[],[f204,f237]) ).
fof(f975,plain,
( ~ spl3_11
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f974]) ).
fof(f974,plain,
( $false
| ~ spl3_11
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f973,f19]) ).
fof(f973,plain,
( n3 = sK1
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f972,f137]) ).
fof(f972,plain,
( sum(n3,n0) = sK1
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f971,f122]) ).
fof(f971,plain,
( sK1 = sum(pred(n4),n0)
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f970,f54]) ).
fof(f970,plain,
( sK1 = sum(pred(sum(n5,n10)),n0)
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f969,f188]) ).
fof(f969,plain,
( sK1 = sum(pred(sum(n5,succ(n9))),n0)
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f968,f10]) ).
fof(f968,plain,
( sK1 = sum(pred(sum(n5,succ(n9))),sum(n9,n2))
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f967,f20]) ).
fof(f967,plain,
( sK1 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(n3)))
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f966,f201]) ).
fof(f966,plain,
( sK1 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(sum(n5,n9))))
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f955,f286]) ).
fof(f955,plain,
( sK1 = sum(pred(sum(n5,succ(sK0))),sum(sK0,pred(sum(n5,sK0))))
| ~ spl3_11 ),
inference(superposition,[],[f204,f261]) ).
fof(f954,plain,
( ~ spl3_4
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f953]) ).
fof(f953,plain,
( $false
| ~ spl3_4
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f952,f53]) ).
fof(f952,plain,
( n4 = sK1
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f951,f172]) ).
fof(f172,plain,
n4 = sum(n9,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f951,plain,
( sum(n9,n6) = sK1
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f950,f42]) ).
fof(f950,plain,
( sum(pred(n10),n6) = sK1
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f949,f211]) ).
fof(f949,plain,
( sK1 = sum(pred(sum(n0,n10)),n6)
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f948,f188]) ).
fof(f948,plain,
( sK1 = sum(pred(sum(n0,succ(n9))),n6)
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f947,f156]) ).
fof(f156,plain,
n6 = sum(n9,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f947,plain,
( sK1 = sum(pred(sum(n0,succ(n9))),sum(n9,n8))
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f946,f7]) ).
fof(f946,plain,
( sK1 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(n9)))
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f945,f195]) ).
fof(f945,plain,
( sK1 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(sum(n0,n9))))
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f938,f286]) ).
fof(f938,plain,
( sK1 = sum(pred(sum(n0,succ(sK0))),sum(sK0,pred(sum(n0,sK0))))
| ~ spl3_4 ),
inference(superposition,[],[f204,f233]) ).
fof(f937,plain,
( ~ spl3_6
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f936,plain,
( $false
| ~ spl3_6
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f935,f74]) ).
fof(f935,plain,
( n2 = sK1
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f934,f162]) ).
fof(f934,plain,
( sum(n8,n5) = sK1
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f933,f7]) ).
fof(f933,plain,
( sK1 = sum(pred(n9),n5)
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f932,f168]) ).
fof(f932,plain,
( sK1 = sum(pred(sum(n10,n10)),n5)
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f931,f188]) ).
fof(f931,plain,
( sK1 = sum(pred(sum(n10,succ(n9))),n5)
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f930,f199]) ).
fof(f930,plain,
( sK1 = sum(pred(sum(n10,succ(n9))),sum(n9,n7))
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f929,f164]) ).
fof(f929,plain,
( sK1 = sum(pred(sum(n10,succ(n9))),sum(n9,pred(n8)))
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f928,f6]) ).
fof(f928,plain,
( sK1 = sum(pred(sum(n10,succ(n9))),sum(n9,pred(sum(n10,n9))))
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f920,f286]) ).
fof(f920,plain,
( sum(pred(sum(n10,succ(sK0))),sum(sK0,pred(sum(n10,sK0)))) = sK1
| ~ spl3_6 ),
inference(superposition,[],[f204,f241]) ).
fof(f919,plain,
( ~ spl3_1
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f918,plain,
( $false
| ~ spl3_1
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f917,f101]) ).
fof(f917,plain,
( n6 = sK1
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f916,f44]) ).
fof(f916,plain,
( sum(n10,n7) = sK1
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f915,f43]) ).
fof(f915,plain,
( sum(pred(n0),n7) = sK1
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f914,f37]) ).
fof(f914,plain,
( sum(pred(sum(n1,n10)),n7) = sK1
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f913,f188]) ).
fof(f913,plain,
( sK1 = sum(pred(sum(n1,succ(n9))),n7)
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f912,f48]) ).
fof(f912,plain,
( sum(pred(sum(n1,succ(n9))),sum(n9,n9)) = sK1
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f911,f42]) ).
fof(f911,plain,
( sum(pred(sum(n1,succ(n9))),sum(n9,pred(n10))) = sK1
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f910,f72]) ).
fof(f910,plain,
( sK1 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(sum(n1,n9))))
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f902,f286]) ).
fof(f902,plain,
( sK1 = sum(pred(sum(n1,succ(sK0))),sum(sK0,pred(sum(n1,sK0))))
| ~ spl3_1 ),
inference(superposition,[],[f204,f221]) ).
fof(f901,plain,
( ~ spl3_7
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f900,plain,
( $false
| ~ spl3_7
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f899,f13]) ).
fof(f899,plain,
( n10 = sK1
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f898,f72]) ).
fof(f898,plain,
( sum(n1,n9) = sK1
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f897,f163]) ).
fof(f897,plain,
( sK1 = sum(pred(n2),n9)
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f896,f55]) ).
fof(f896,plain,
( sum(pred(sum(n3,n10)),n9) = sK1
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f895,f188]) ).
fof(f895,plain,
( sK1 = sum(pred(sum(n3,succ(n9))),n9)
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f894,f169]) ).
fof(f894,plain,
( sK1 = sum(pred(sum(n3,succ(n9))),sum(n9,n0))
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f893,f182]) ).
fof(f893,plain,
( sK1 = sum(pred(sum(n3,succ(n9))),sum(n9,pred(n1)))
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f892,f131]) ).
fof(f892,plain,
( sK1 = sum(pred(sum(n3,succ(n9))),sum(n9,pred(sum(n3,n9))))
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f883,f286]) ).
fof(f883,plain,
( sK1 = sum(pred(sum(n3,succ(sK0))),sum(sK0,pred(sum(n3,sK0))))
| ~ spl3_7 ),
inference(superposition,[],[f204,f245]) ).
fof(f881,plain,
( ~ spl3_10
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f880,plain,
( $false
| ~ spl3_10
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f879,f178]) ).
fof(f879,plain,
( n5 = sK1
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f878,f115]) ).
fof(f878,plain,
( sum(n4,n1) = sK1
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f877,f123]) ).
fof(f877,plain,
( sum(pred(n5),n1) = sK1
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f876,f114]) ).
fof(f876,plain,
( sum(pred(sum(n6,n10)),n1) = sK1
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f875,f188]) ).
fof(f875,plain,
( sK1 = sum(pred(sum(n6,succ(n9))),n1)
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f874,f135]) ).
fof(f135,plain,
n1 = sum(n9,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f874,plain,
( sum(pred(sum(n6,succ(n9))),sum(n9,n3)) = sK1
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f873,f122]) ).
fof(f873,plain,
( sK1 = sum(pred(sum(n6,succ(n9))),sum(n9,pred(n4)))
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f872,f98]) ).
fof(f872,plain,
( sum(pred(sum(n6,succ(n9))),sum(n9,pred(sum(n6,n9)))) = sK1
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f862,f286]) ).
fof(f862,plain,
( sK1 = sum(pred(sum(n6,succ(sK0))),sum(sK0,pred(sum(n6,sK0))))
| ~ spl3_10 ),
inference(superposition,[],[f204,f257]) ).
fof(f861,plain,
( ~ spl3_3
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f860,plain,
( $false
| ~ spl3_3
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f859,f105]) ).
fof(f859,plain,
( n9 = sK1
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f858,f159]) ).
fof(f858,plain,
( sum(n6,n3) = sK1
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f857,f209]) ).
fof(f857,plain,
( sK1 = sum(pred(n7),n3)
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f856,f165]) ).
fof(f856,plain,
( sum(pred(sum(n8,n10)),n3) = sK1
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f855,f188]) ).
fof(f855,plain,
( sK1 = sum(pred(sum(n8,succ(n9))),n3)
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f854,f23]) ).
fof(f854,plain,
( sK1 = sum(pred(sum(n8,succ(n9))),sum(n9,n5))
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f853,f125]) ).
fof(f853,plain,
( sum(pred(sum(n8,succ(n9))),sum(n9,pred(n6))) = sK1
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f852,f60]) ).
fof(f852,plain,
( sK1 = sum(pred(sum(n8,succ(n9))),sum(n9,pred(sum(n8,n9))))
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f844,f286]) ).
fof(f844,plain,
( sum(pred(sum(n8,succ(sK0))),sum(sK0,pred(sum(n8,sK0)))) = sK1
| ~ spl3_3 ),
inference(superposition,[],[f204,f229]) ).
fof(f843,plain,
( ~ spl3_9
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f842]) ).
fof(f842,plain,
( $false
| ~ spl3_9
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f841,f11]) ).
fof(f841,plain,
( n1 = sK1
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f840,f47]) ).
fof(f47,plain,
n1 = sum(n2,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f840,plain,
( sum(n2,n10) = sK1
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f839,f20]) ).
fof(f839,plain,
( sum(pred(n3),n10) = sK1
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f838,f110]) ).
fof(f838,plain,
( sK1 = sum(pred(sum(n4,n10)),n10)
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f837,f188]) ).
fof(f837,plain,
( sum(pred(sum(n4,succ(n9))),n10) = sK1
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f836,f118]) ).
fof(f836,plain,
( sK1 = sum(pred(sum(n4,succ(n9))),sum(n9,n1))
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f835,f163]) ).
fof(f835,plain,
( sum(pred(sum(n4,succ(n9))),sum(n9,pred(n2))) = sK1
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f834,f80]) ).
fof(f834,plain,
( sum(pred(sum(n4,succ(n9))),sum(n9,pred(sum(n4,n9)))) = sK1
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f825,f286]) ).
fof(f825,plain,
( sK1 = sum(pred(sum(n4,succ(sK0))),sum(sK0,pred(sum(n4,sK0))))
| ~ spl3_9 ),
inference(superposition,[],[f204,f253]) ).
fof(f823,plain,
( ~ spl3_8
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f822,plain,
( $false
| ~ spl3_8
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f821,f19]) ).
fof(f821,plain,
( n3 = sK1
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f820,f161]) ).
fof(f820,plain,
( sum(n8,n6) = sK1
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f819,f7]) ).
fof(f819,plain,
( sum(pred(n9),n6) = sK1
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f818,f169]) ).
fof(f818,plain,
( sK1 = sum(pred(sum(n9,n0)),n6)
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f817,f56]) ).
fof(f817,plain,
( sK1 = sum(pred(sum(n9,succ(n10))),n6)
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f816,f44]) ).
fof(f816,plain,
( sK1 = sum(pred(sum(n9,succ(n10))),sum(n10,n7))
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f815,f164]) ).
fof(f815,plain,
( sum(pred(sum(n9,succ(n10))),sum(n10,pred(n8))) = sK1
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f814,f34]) ).
fof(f814,plain,
( sK1 = sum(pred(sum(n9,succ(n10))),sum(n10,pred(sum(n9,n10))))
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f806,f249]) ).
fof(f249,plain,
( n9 = sK2
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl3_8
<=> n9 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f806,plain,
( sK1 = sum(pred(sum(sK2,succ(n10))),sum(n10,pred(sum(sK2,n10))))
| ~ spl3_14 ),
inference(superposition,[],[f204,f274]) ).
fof(f805,plain,
( ~ spl3_8
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f804,plain,
( $false
| ~ spl3_8
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f803,f11]) ).
fof(f803,plain,
( n1 = sK1
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f802,f25]) ).
fof(f802,plain,
( sum(n0,n1) = sK1
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f801,f182]) ).
fof(f801,plain,
( sK1 = sum(pred(n1),n1)
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f800,f135]) ).
fof(f800,plain,
( sK1 = sum(pred(sum(n9,n3)),n1)
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f799,f153]) ).
fof(f799,plain,
( sK1 = sum(pred(sum(n9,succ(n2))),n1)
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f798,f47]) ).
fof(f798,plain,
( sK1 = sum(pred(sum(n9,succ(n2))),sum(n2,n10))
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f797,f43]) ).
fof(f797,plain,
( sK1 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(n0)))
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f796,f10]) ).
fof(f796,plain,
( sK1 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(sum(n9,n2))))
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f787,f249]) ).
fof(f787,plain,
( sK1 = sum(pred(sum(sK2,succ(n2))),sum(n2,pred(sum(sK2,n2))))
| ~ spl3_20 ),
inference(superposition,[],[f204,f298]) ).
fof(f785,plain,
( ~ spl3_8
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f784,plain,
( $false
| ~ spl3_8
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f783,f178]) ).
fof(f783,plain,
( n5 = sK1
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f782,f157]) ).
fof(f782,plain,
( sum(n5,n0) = sK1
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f781,f125]) ).
fof(f781,plain,
( sK1 = sum(pred(n6),n0)
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f780,f156]) ).
fof(f780,plain,
( sK1 = sum(pred(sum(n9,n8)),n0)
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f779,f79]) ).
fof(f779,plain,
( sK1 = sum(pred(sum(n9,succ(n7))),n0)
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f778,f206]) ).
fof(f778,plain,
( sum(pred(sum(n9,succ(n7))),sum(n7,n4)) = sK1
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f777,f123]) ).
fof(f777,plain,
( sK1 = sum(pred(sum(n9,succ(n7))),sum(n7,pred(n5)))
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f776,f199]) ).
fof(f776,plain,
( sum(pred(sum(n9,succ(n7))),sum(n7,pred(sum(n9,n7)))) = sK1
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_demodulation,[],[f767,f249]) ).
fof(f767,plain,
( sK1 = sum(pred(sum(sK2,succ(n7))),sum(n7,pred(sum(sK2,n7))))
| ~ spl3_16 ),
inference(superposition,[],[f204,f282]) ).
fof(f766,plain,
( ~ spl3_8
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f765,plain,
( $false
| ~ spl3_8
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f764,f105]) ).
fof(f764,plain,
( n9 = sK1
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f763,f168]) ).
fof(f763,plain,
( sum(n10,n10) = sK1
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f762,f43]) ).
fof(f762,plain,
( sK1 = sum(pred(n0),n10)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f761,f10]) ).
fof(f761,plain,
( sK1 = sum(pred(sum(n9,n2)),n10)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f760,f86]) ).
fof(f760,plain,
( sum(pred(sum(n9,succ(n1))),n10) = sK1
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f759,f72]) ).
fof(f759,plain,
( sum(pred(sum(n9,succ(n1))),sum(n1,n9)) = sK1
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f758,f42]) ).
fof(f758,plain,
( sum(pred(sum(n9,succ(n1))),sum(n1,pred(n10))) = sK1
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f757,f118]) ).
fof(f757,plain,
( sK1 = sum(pred(sum(n9,succ(n1))),sum(n1,pred(sum(n9,n1))))
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f747,f249]) ).
fof(f747,plain,
( sK1 = sum(pred(sum(sK2,succ(n1))),sum(n1,pred(sum(sK2,n1))))
| ~ spl3_22 ),
inference(superposition,[],[f204,f306]) ).
fof(f745,plain,
( ~ spl3_8
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f744]) ).
fof(f744,plain,
( $false
| ~ spl3_8
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f743,f101]) ).
fof(f743,plain,
( n6 = sK1
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f742,f156]) ).
fof(f742,plain,
( sum(n9,n8) = sK1
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f741,f42]) ).
fof(f741,plain,
( sK1 = sum(pred(n10),n8)
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f740,f118]) ).
fof(f740,plain,
( sum(pred(sum(n9,n1)),n8) = sK1
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f739,f58]) ).
fof(f739,plain,
( sum(pred(sum(n9,succ(n0))),n8) = sK1
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f738,f52]) ).
fof(f738,plain,
( sK1 = sum(pred(sum(n9,succ(n0))),sum(n0,n8))
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f737,f7]) ).
fof(f737,plain,
( sK1 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(n9)))
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f736,f169]) ).
fof(f736,plain,
( sK1 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(sum(n9,n0))))
| ~ spl3_8
| ~ spl3_12 ),
inference(forward_demodulation,[],[f729,f249]) ).
fof(f729,plain,
( sum(pred(sum(sK2,succ(n0))),sum(n0,pred(sum(sK2,n0)))) = sK1
| ~ spl3_12 ),
inference(superposition,[],[f204,f266]) ).
fof(f727,plain,
( ~ spl3_8
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl3_8
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f725,f13]) ).
fof(f725,plain,
( n10 = sK1
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f724,f152]) ).
fof(f724,plain,
( sum(n3,n7) = sK1
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f723,f122]) ).
fof(f723,plain,
( sK1 = sum(pred(n4),n7)
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f722,f172]) ).
fof(f722,plain,
( sK1 = sum(pred(sum(n9,n6)),n7)
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f721,f140]) ).
fof(f721,plain,
( sK1 = sum(pred(sum(n9,succ(n5))),n7)
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f720,f82]) ).
fof(f720,plain,
( sum(pred(sum(n9,succ(n5))),sum(n5,n2)) = sK1
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f719,f20]) ).
fof(f719,plain,
( sK1 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(n3)))
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f718,f23]) ).
fof(f718,plain,
( sK1 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(sum(n9,n5))))
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f710,f249]) ).
fof(f710,plain,
( sum(pred(sum(sK2,succ(n5))),sum(n5,pred(sum(sK2,n5)))) = sK1
| ~ spl3_18 ),
inference(superposition,[],[f204,f290]) ).
fof(f709,plain,
( ~ spl3_8
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f708,plain,
( $false
| ~ spl3_8
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f707,f213]) ).
fof(f707,plain,
( n8 = sK1
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f706,f132]) ).
fof(f706,plain,
( sum(n6,n2) = sK1
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f705,f209]) ).
fof(f705,plain,
( sK1 = sum(pred(n7),n2)
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f704,f48]) ).
fof(f704,plain,
( sK1 = sum(pred(sum(n9,n9)),n2)
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f703,f117]) ).
fof(f703,plain,
( sK1 = sum(pred(sum(n9,succ(n8))),n2)
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f702,f162]) ).
fof(f702,plain,
( sum(pred(sum(n9,succ(n8))),sum(n8,n5)) = sK1
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f701,f125]) ).
fof(f701,plain,
( sK1 = sum(pred(sum(n9,succ(n8))),sum(n8,pred(n6)))
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f700,f156]) ).
fof(f700,plain,
( sum(pred(sum(n9,succ(n8))),sum(n8,pred(sum(n9,n8)))) = sK1
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f691,f249]) ).
fof(f691,plain,
( sK1 = sum(pred(sum(sK2,succ(n8))),sum(n8,pred(sum(sK2,n8))))
| ~ spl3_19 ),
inference(superposition,[],[f204,f294]) ).
fof(f690,plain,
( ~ spl3_8
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f689,plain,
( $false
| ~ spl3_8
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f688,f120]) ).
fof(f688,plain,
( n7 = sK1
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f687,f179]) ).
fof(f687,plain,
( sum(n2,n5) = sK1
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f686,f20]) ).
fof(f686,plain,
( sK1 = sum(pred(n3),n5)
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f685,f23]) ).
fof(f685,plain,
( sK1 = sum(pred(sum(n9,n5)),n5)
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f684,f127]) ).
fof(f684,plain,
( sum(pred(sum(n9,succ(n4))),n5) = sK1
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f683,f115]) ).
fof(f683,plain,
( sum(pred(sum(n9,succ(n4))),sum(n4,n1)) = sK1
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f682,f163]) ).
fof(f682,plain,
( sK1 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(n2)))
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f681,f207]) ).
fof(f681,plain,
( sK1 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(sum(n9,n4))))
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f674,f249]) ).
fof(f674,plain,
( sK1 = sum(pred(sum(sK2,succ(n4))),sum(n4,pred(sum(sK2,n4))))
| ~ spl3_13 ),
inference(superposition,[],[f204,f270]) ).
fof(f672,plain,
( ~ spl3_8
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f671,plain,
( $false
| ~ spl3_8
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f670,f53]) ).
fof(f670,plain,
( n4 = sK1
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f669,f203]) ).
fof(f669,plain,
( sum(n1,n3) = sK1
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f668,f163]) ).
fof(f668,plain,
( sK1 = sum(pred(n2),n3)
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f667,f207]) ).
fof(f667,plain,
( sum(pred(sum(n9,n4)),n3) = sK1
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f666,f46]) ).
fof(f666,plain,
( sK1 = sum(pred(sum(n9,succ(n3))),n3)
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f665,f137]) ).
fof(f665,plain,
( sK1 = sum(pred(sum(n9,succ(n3))),sum(n3,n0))
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f664,f182]) ).
fof(f664,plain,
( sK1 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(n1)))
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f663,f135]) ).
fof(f663,plain,
( sK1 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(sum(n9,n3))))
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f644,f302]) ).
fof(f644,plain,
( sK1 = sum(pred(sum(n9,succ(sK0))),sum(sK0,pred(sum(n9,sK0))))
| ~ spl3_8 ),
inference(superposition,[],[f204,f249]) ).
fof(f662,plain,
( ~ spl3_8
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f661,plain,
( $false
| ~ spl3_8
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f660,f108]) ).
fof(f660,plain,
( n0 = sK1
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f659,f206]) ).
fof(f659,plain,
( sum(n7,n4) = sK1
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f658,f164]) ).
fof(f658,plain,
( sum(pred(n8),n4) = sK1
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f657,f34]) ).
fof(f657,plain,
( sK1 = sum(pred(sum(n9,n10)),n4)
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f656,f188]) ).
fof(f656,plain,
( sK1 = sum(pred(sum(n9,succ(n9))),n4)
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f655,f172]) ).
fof(f655,plain,
( sK1 = sum(pred(sum(n9,succ(n9))),sum(n9,n6))
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f654,f209]) ).
fof(f654,plain,
( sK1 = sum(pred(sum(n9,succ(n9))),sum(n9,pred(n7)))
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f653,f48]) ).
fof(f653,plain,
( sum(pred(sum(n9,succ(n9))),sum(n9,pred(sum(n9,n9)))) = sK1
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f644,f286]) ).
fof(f643,plain,
( ~ spl3_11
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| ~ spl3_11
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f641,f178]) ).
fof(f641,plain,
( n5 = sK1
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f640,f136]) ).
fof(f640,plain,
( sum(n0,n5) = sK1
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f639,f182]) ).
fof(f639,plain,
( sK1 = sum(pred(n1),n5)
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f638,f106]) ).
fof(f638,plain,
( sK1 = sum(pred(sum(n5,n7)),n5)
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f637,f126]) ).
fof(f126,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f5]) ).
fof(f637,plain,
( sum(pred(sum(n5,succ(n6))),n5) = sK1
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f636,f114]) ).
fof(f636,plain,
( sK1 = sum(pred(sum(n5,succ(n6))),sum(n6,n10))
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f635,f43]) ).
fof(f635,plain,
( sum(pred(sum(n5,succ(n6))),sum(n6,pred(n0))) = sK1
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f634,f200]) ).
fof(f634,plain,
( sum(pred(sum(n5,succ(n6))),sum(n6,pred(sum(n5,n6)))) = sK1
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f624,f278]) ).
fof(f278,plain,
( n6 = sK0
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl3_15
<=> n6 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f624,plain,
( sK1 = sum(pred(sum(n5,succ(sK0))),sum(sK0,pred(sum(n5,sK0))))
| ~ spl3_11 ),
inference(superposition,[],[f204,f261]) ).
fof(f622,plain,
( ~ spl3_10
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| ~ spl3_10
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f620,f120]) ).
fof(f620,plain,
( n7 = sK1
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f619,f32]) ).
fof(f619,plain,
( sum(n1,n6) = sK1
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f618,f163]) ).
fof(f618,plain,
( sum(pred(n2),n6) = sK1
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f617,f177]) ).
fof(f617,plain,
( sK1 = sum(pred(sum(n6,n7)),n6)
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f616,f126]) ).
fof(f616,plain,
( sK1 = sum(pred(sum(n6,succ(n6))),n6)
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f615,f189]) ).
fof(f615,plain,
( sum(pred(sum(n6,succ(n6))),sum(n6,n0)) = sK1
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f614,f182]) ).
fof(f614,plain,
( sK1 = sum(pred(sum(n6,succ(n6))),sum(n6,pred(n1)))
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f613,f17]) ).
fof(f613,plain,
( sK1 = sum(pred(sum(n6,succ(n6))),sum(n6,pred(sum(n6,n6))))
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f603,f278]) ).
fof(f603,plain,
( sK1 = sum(pred(sum(n6,succ(sK0))),sum(sK0,pred(sum(n6,sK0))))
| ~ spl3_10 ),
inference(superposition,[],[f204,f257]) ).
fof(f602,plain,
( ~ spl3_8
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| ~ spl3_8
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f600,f74]) ).
fof(f600,plain,
( n2 = sK1
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f599,f80]) ).
fof(f599,plain,
( sum(n4,n9) = sK1
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f598,f123]) ).
fof(f598,plain,
( sK1 = sum(pred(n5),n9)
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f597,f199]) ).
fof(f597,plain,
( sK1 = sum(pred(sum(n9,n7)),n9)
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f596,f126]) ).
fof(f596,plain,
( sK1 = sum(pred(sum(n9,succ(n6))),n9)
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f595,f159]) ).
fof(f595,plain,
( sK1 = sum(pred(sum(n9,succ(n6))),sum(n6,n3))
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f594,f122]) ).
fof(f594,plain,
( sK1 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(n4)))
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f593,f172]) ).
fof(f593,plain,
( sK1 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(sum(n9,n6))))
| ~ spl3_8
| ~ spl3_15 ),
inference(forward_demodulation,[],[f585,f278]) ).
fof(f585,plain,
( sK1 = sum(pred(sum(n9,succ(sK0))),sum(sK0,pred(sum(n9,sK0))))
| ~ spl3_8 ),
inference(superposition,[],[f204,f249]) ).
fof(f584,plain,
( ~ spl3_3
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f583,plain,
( $false
| ~ spl3_3
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f582,f108]) ).
fof(f582,plain,
( n0 = sK1
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f581,f111]) ).
fof(f581,plain,
( sum(n3,n8) = sK1
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f580,f122]) ).
fof(f580,plain,
( sum(pred(n4),n8) = sK1
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f579,f214]) ).
fof(f579,plain,
( sK1 = sum(pred(sum(n8,n7)),n8)
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f578,f126]) ).
fof(f578,plain,
( sK1 = sum(pred(sum(n8,succ(n6))),n8)
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f577,f132]) ).
fof(f577,plain,
( sK1 = sum(pred(sum(n8,succ(n6))),sum(n6,n2))
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f576,f20]) ).
fof(f576,plain,
( sK1 = sum(pred(sum(n8,succ(n6))),sum(n6,pred(n3)))
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f575,f161]) ).
fof(f575,plain,
( sum(pred(sum(n8,succ(n6))),sum(n6,pred(sum(n8,n6)))) = sK1
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f574,f278]) ).
fof(f574,plain,
( sum(pred(sum(n8,succ(sK0))),sum(sK0,pred(sum(n8,sK0)))) = sK1
| ~ spl3_3 ),
inference(superposition,[],[f204,f229]) ).
fof(f570,plain,
( ~ spl3_4
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f569]) ).
fof(f569,plain,
( $false
| ~ spl3_4
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f568,f101]) ).
fof(f568,plain,
( n6 = sK1
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f567,f189]) ).
fof(f567,plain,
( sum(n6,n0) = sK1
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f566,f209]) ).
fof(f566,plain,
( sK1 = sum(pred(n7),n0)
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f565,f147]) ).
fof(f565,plain,
( sK1 = sum(pred(sum(n0,n7)),n0)
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f564,f126]) ).
fof(f564,plain,
( sK1 = sum(pred(sum(n0,succ(n6))),n0)
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f563,f176]) ).
fof(f563,plain,
( sum(pred(sum(n0,succ(n6))),sum(n6,n5)) = sK1
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f562,f125]) ).
fof(f562,plain,
( sK1 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(n6)))
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f561,f112]) ).
fof(f561,plain,
( sK1 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(sum(n0,n6))))
| ~ spl3_4
| ~ spl3_15 ),
inference(forward_demodulation,[],[f560,f278]) ).
fof(f560,plain,
( sK1 = sum(pred(sum(n0,succ(sK0))),sum(sK0,pred(sum(n0,sK0))))
| ~ spl3_4 ),
inference(superposition,[],[f204,f233]) ).
fof(f556,plain,
( ~ spl3_5
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f555,plain,
( $false
| ~ spl3_5
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f554,f105]) ).
fof(f554,plain,
( n9 = sK1
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f553,f21]) ).
fof(f553,plain,
( sum(n2,n7) = sK1
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f552,f20]) ).
fof(f552,plain,
( sK1 = sum(pred(n3),n7)
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f551,f130]) ).
fof(f551,plain,
( sK1 = sum(pred(sum(n7,n7)),n7)
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f550,f126]) ).
fof(f550,plain,
( sK1 = sum(pred(sum(n7,succ(n6))),n7)
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f549,f102]) ).
fof(f549,plain,
( sK1 = sum(pred(sum(n7,succ(n6))),sum(n6,n1))
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f548,f163]) ).
fof(f548,plain,
( sum(pred(sum(n7,succ(n6))),sum(n6,pred(n2))) = sK1
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f547,f174]) ).
fof(f547,plain,
( sK1 = sum(pred(sum(n7,succ(n6))),sum(n6,pred(sum(n7,n6))))
| ~ spl3_5
| ~ spl3_15 ),
inference(forward_demodulation,[],[f546,f278]) ).
fof(f546,plain,
( sK1 = sum(pred(sum(n7,succ(sK0))),sum(sK0,pred(sum(n7,sK0))))
| ~ spl3_5 ),
inference(superposition,[],[f204,f237]) ).
fof(f542,plain,
( ~ spl3_7
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f541,plain,
( $false
| ~ spl3_7
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f540,f11]) ).
fof(f540,plain,
( n1 = sK1
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f539,f135]) ).
fof(f539,plain,
( sum(n9,n3) = sK1
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f538,f42]) ).
fof(f538,plain,
( sK1 = sum(pred(n10),n3)
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f537,f152]) ).
fof(f537,plain,
( sum(pred(sum(n3,n7)),n3) = sK1
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f536,f126]) ).
fof(f536,plain,
( sum(pred(sum(n3,succ(n6))),n3) = sK1
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f535,f22]) ).
fof(f535,plain,
( sum(pred(sum(n3,succ(n6))),sum(n6,n8)) = sK1
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f534,f7]) ).
fof(f534,plain,
( sK1 = sum(pred(sum(n3,succ(n6))),sum(n6,pred(n9)))
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f533,f73]) ).
fof(f533,plain,
( sK1 = sum(pred(sum(n3,succ(n6))),sum(n6,pred(sum(n3,n6))))
| ~ spl3_7
| ~ spl3_15 ),
inference(forward_demodulation,[],[f532,f278]) ).
fof(f532,plain,
( sK1 = sum(pred(sum(n3,succ(sK0))),sum(sK0,pred(sum(n3,sK0))))
| ~ spl3_7 ),
inference(superposition,[],[f204,f245]) ).
fof(f528,plain,
( ~ spl3_1
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| ~ spl3_1
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f526,f213]) ).
fof(f526,plain,
( n8 = sK1
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f525,f184]) ).
fof(f525,plain,
( sum(n7,n1) = sK1
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f524,f164]) ).
fof(f524,plain,
( sK1 = sum(pred(n8),n1)
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f523,f166]) ).
fof(f523,plain,
( sum(pred(sum(n1,n7)),n1) = sK1
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f522,f126]) ).
fof(f522,plain,
( sK1 = sum(pred(sum(n1,succ(n6))),n1)
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f521,f17]) ).
fof(f521,plain,
( sK1 = sum(pred(sum(n1,succ(n6))),sum(n6,n6))
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f520,f209]) ).
fof(f520,plain,
( sK1 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(n7)))
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f519,f32]) ).
fof(f519,plain,
( sK1 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(sum(n1,n6))))
| ~ spl3_1
| ~ spl3_15 ),
inference(forward_demodulation,[],[f518,f278]) ).
fof(f518,plain,
( sK1 = sum(pred(sum(n1,succ(sK0))),sum(sK0,pred(sum(n1,sK0))))
| ~ spl3_1 ),
inference(superposition,[],[f204,f221]) ).
fof(f516,plain,
( ~ spl3_6
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f515,plain,
( $false
| ~ spl3_6
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f514,f53]) ).
fof(f514,plain,
( n4 = sK1
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f513,f54]) ).
fof(f513,plain,
( sum(n5,n10) = sK1
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f512,f125]) ).
fof(f512,plain,
( sK1 = sum(pred(n6),n10)
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f511,f44]) ).
fof(f511,plain,
( sK1 = sum(pred(sum(n10,n7)),n10)
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f510,f126]) ).
fof(f510,plain,
( sum(pred(sum(n10,succ(n6))),n10) = sK1
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f509,f87]) ).
fof(f509,plain,
( sK1 = sum(pred(sum(n10,succ(n6))),sum(n6,n4))
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f508,f123]) ).
fof(f508,plain,
( sum(pred(sum(n10,succ(n6))),sum(n6,pred(n5))) = sK1
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f507,f128]) ).
fof(f507,plain,
( sK1 = sum(pred(sum(n10,succ(n6))),sum(n6,pred(sum(n10,n6))))
| ~ spl3_6
| ~ spl3_15 ),
inference(forward_demodulation,[],[f506,f278]) ).
fof(f506,plain,
( sum(pred(sum(n10,succ(sK0))),sum(sK0,pred(sum(n10,sK0)))) = sK1
| ~ spl3_6 ),
inference(superposition,[],[f204,f241]) ).
fof(f504,plain,
( ~ spl3_9
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f503,plain,
( $false
| ~ spl3_9
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f502,f19]) ).
fof(f502,plain,
( n3 = sK1
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f501,f90]) ).
fof(f501,plain,
( sum(n10,n4) = sK1
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f500,f43]) ).
fof(f500,plain,
( sK1 = sum(pred(n0),n4)
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f499,f181]) ).
fof(f499,plain,
( sum(pred(sum(n4,n7)),n4) = sK1
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f498,f126]) ).
fof(f498,plain,
( sK1 = sum(pred(sum(n4,succ(n6))),n4)
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f497,f98]) ).
fof(f497,plain,
( sum(pred(sum(n4,succ(n6))),sum(n6,n9)) = sK1
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f496,f42]) ).
fof(f496,plain,
( sK1 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(n10)))
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f495,f75]) ).
fof(f495,plain,
( sum(pred(sum(n4,succ(n6))),sum(n6,pred(sum(n4,n6)))) = sK1
| ~ spl3_9
| ~ spl3_15 ),
inference(forward_demodulation,[],[f494,f278]) ).
fof(f494,plain,
( sK1 = sum(pred(sum(n4,succ(sK0))),sum(sK0,pred(sum(n4,sK0))))
| ~ spl3_9 ),
inference(superposition,[],[f204,f253]) ).
fof(f492,plain,
( ~ spl3_2
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| ~ spl3_2
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f490,f101]) ).
fof(f490,plain,
( n6 = sK1
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f489,f187]) ).
fof(f489,plain,
( sum(n3,n3) = sK1
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f488,f122]) ).
fof(f488,plain,
( sK1 = sum(pred(n4),n3)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f487,f186]) ).
fof(f487,plain,
( sK1 = sum(pred(sum(n2,n2)),n3)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f486,f86]) ).
fof(f486,plain,
( sum(pred(sum(n2,succ(n1))),n3) = sK1
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f485,f45]) ).
fof(f485,plain,
( sK1 = sum(pred(sum(n2,succ(n1))),sum(n1,n2))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f484,f20]) ).
fof(f484,plain,
( sK1 = sum(pred(sum(n2,succ(n1))),sum(n1,pred(n3)))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f483,f148]) ).
fof(f483,plain,
( sK1 = sum(pred(sum(n2,succ(n1))),sum(n1,pred(sum(n2,n1))))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f473,f225]) ).
fof(f225,plain,
( n2 = sK2
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl3_2
<=> n2 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f473,plain,
( sK1 = sum(pred(sum(sK2,succ(n1))),sum(n1,pred(sum(sK2,n1))))
| ~ spl3_22 ),
inference(superposition,[],[f204,f306]) ).
fof(f471,plain,
( ~ spl3_2
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl3_2
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f469,f11]) ).
fof(f469,plain,
( n1 = sK1
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f468,f106]) ).
fof(f468,plain,
( sum(n5,n7) = sK1
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f467,f125]) ).
fof(f467,plain,
( sK1 = sum(pred(n6),n7)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f466,f93]) ).
fof(f466,plain,
( sK1 = sum(pred(sum(n2,n4)),n7)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f465,f46]) ).
fof(f465,plain,
( sum(pred(sum(n2,succ(n3))),n7) = sK1
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f464,f24]) ).
fof(f464,plain,
( sK1 = sum(pred(sum(n2,succ(n3))),sum(n3,n4))
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f463,f123]) ).
fof(f463,plain,
( sK1 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(n5)))
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f462,f96]) ).
fof(f462,plain,
( sK1 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(sum(n2,n3))))
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f452,f225]) ).
fof(f452,plain,
( sK1 = sum(pred(sum(sK2,succ(n3))),sum(n3,pred(sum(sK2,n3))))
| ~ spl3_21 ),
inference(superposition,[],[f204,f302]) ).
fof(f451,plain,
( ~ spl3_2
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| ~ spl3_2
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f449,f105]) ).
fof(f449,plain,
( n9 = sK1
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f448,f69]) ).
fof(f448,plain,
( sum(n4,n5) = sK1
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f447,f123]) ).
fof(f447,plain,
( sK1 = sum(pred(n5),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f446,f96]) ).
fof(f446,plain,
( sK1 = sum(pred(sum(n2,n3)),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f445,f153]) ).
fof(f445,plain,
( sK1 = sum(pred(sum(n2,succ(n2))),n5)
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f444,f96]) ).
fof(f444,plain,
( sK1 = sum(pred(sum(n2,succ(n2))),sum(n2,n3))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f443,f122]) ).
fof(f443,plain,
( sK1 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(n4)))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f442,f186]) ).
fof(f442,plain,
( sK1 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(sum(n2,n2))))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f433,f225]) ).
fof(f433,plain,
( sK1 = sum(pred(sum(sK2,succ(n2))),sum(n2,pred(sum(sK2,n2))))
| ~ spl3_20 ),
inference(superposition,[],[f204,f298]) ).
fof(f432,plain,
( ~ spl3_2
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f431,plain,
( $false
| ~ spl3_2
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f430,f178]) ).
fof(f430,plain,
( n5 = sK1
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f429,f128]) ).
fof(f429,plain,
( sum(n10,n6) = sK1
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f428,f43]) ).
fof(f428,plain,
( sK1 = sum(pred(n0),n6)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f427,f142]) ).
fof(f427,plain,
( sK1 = sum(pred(sum(n2,n9)),n6)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f426,f117]) ).
fof(f426,plain,
( sK1 = sum(pred(sum(n2,succ(n8))),n6)
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f425,f60]) ).
fof(f425,plain,
( sK1 = sum(pred(sum(n2,succ(n8))),sum(n8,n9))
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f424,f42]) ).
fof(f424,plain,
( sK1 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(n10)))
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f423,f81]) ).
fof(f423,plain,
( sK1 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(sum(n2,n8))))
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f415,f225]) ).
fof(f415,plain,
( sK1 = sum(pred(sum(sK2,succ(n8))),sum(n8,pred(sum(sK2,n8))))
| ~ spl3_19 ),
inference(superposition,[],[f204,f294]) ).
fof(f414,plain,
( ~ spl3_2
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f413,plain,
( $false
| ~ spl3_2
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f412,f120]) ).
fof(f412,plain,
( n7 = sK1
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f411,f92]) ).
fof(f411,plain,
( sum(n7,n0) = sK1
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f410,f164]) ).
fof(f410,plain,
( sK1 = sum(pred(n8),n0)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f409,f149]) ).
fof(f409,plain,
( sK1 = sum(pred(sum(n2,n6)),n0)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f408,f140]) ).
fof(f408,plain,
( sum(pred(sum(n2,succ(n5))),n0) = sK1
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f407,f200]) ).
fof(f407,plain,
( sK1 = sum(pred(sum(n2,succ(n5))),sum(n5,n6))
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f406,f209]) ).
fof(f406,plain,
( sK1 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(n7)))
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f405,f179]) ).
fof(f405,plain,
( sK1 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(sum(n2,n5))))
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f398,f225]) ).
fof(f398,plain,
( sum(pred(sum(sK2,succ(n5))),sum(n5,pred(sum(sK2,n5)))) = sK1
| ~ spl3_18 ),
inference(superposition,[],[f204,f290]) ).
fof(f397,plain,
( ~ spl3_2
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f396,plain,
( $false
| ~ spl3_2
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f395,f213]) ).
fof(f395,plain,
( n8 = sK1
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f394,f52]) ).
fof(f394,plain,
( sum(n0,n8) = sK1
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f393,f182]) ).
fof(f393,plain,
( sK1 = sum(pred(n1),n8)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f392,f47]) ).
fof(f392,plain,
( sK1 = sum(pred(sum(n2,n10)),n8)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f391,f188]) ).
fof(f391,plain,
( sK1 = sum(pred(sum(n2,succ(n9))),n8)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f390,f34]) ).
fof(f390,plain,
( sK1 = sum(pred(sum(n2,succ(n9))),sum(n9,n10))
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f389,f43]) ).
fof(f389,plain,
( sK1 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(n0)))
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f388,f142]) ).
fof(f388,plain,
( sK1 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(sum(n2,n9))))
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f382,f225]) ).
fof(f382,plain,
( sum(pred(sum(sK2,succ(n9))),sum(n9,pred(sum(sK2,n9)))) = sK1
| ~ spl3_17 ),
inference(superposition,[],[f204,f286]) ).
fof(f381,plain,
( ~ spl3_2
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f380,plain,
( $false
| ~ spl3_2
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f379,f74]) ).
fof(f379,plain,
( n2 = sK1
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f378,f207]) ).
fof(f378,plain,
( sum(n9,n4) = sK1
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f377,f42]) ).
fof(f377,plain,
( sK1 = sum(pred(n10),n4)
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f376,f81]) ).
fof(f376,plain,
( sK1 = sum(pred(sum(n2,n8)),n4)
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f375,f79]) ).
fof(f375,plain,
( sum(pred(sum(n2,succ(n7))),n4) = sK1
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f374,f76]) ).
fof(f374,plain,
( sum(pred(sum(n2,succ(n7))),sum(n7,n8)) = sK1
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f373,f7]) ).
fof(f373,plain,
( sK1 = sum(pred(sum(n2,succ(n7))),sum(n7,pred(n9)))
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f372,f21]) ).
fof(f372,plain,
( sum(pred(sum(n2,succ(n7))),sum(n7,pred(sum(n2,n7)))) = sK1
| ~ spl3_2
| ~ spl3_16 ),
inference(forward_demodulation,[],[f371,f225]) ).
fof(f371,plain,
( sK1 = sum(pred(sum(sK2,succ(n7))),sum(n7,pred(sum(sK2,n7))))
| ~ spl3_16 ),
inference(superposition,[],[f204,f282]) ).
fof(f366,plain,
( ~ spl3_2
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl3_2
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f364,f13]) ).
fof(f364,plain,
( n10 = sK1
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f363,f154]) ).
fof(f363,plain,
( sum(n8,n2) = sK1
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f362,f7]) ).
fof(f362,plain,
( sK1 = sum(pred(n9),n2)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f361,f21]) ).
fof(f361,plain,
( sK1 = sum(pred(sum(n2,n7)),n2)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f360,f126]) ).
fof(f360,plain,
( sK1 = sum(pred(sum(n2,succ(n6))),n2)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f359,f177]) ).
fof(f359,plain,
( sK1 = sum(pred(sum(n2,succ(n6))),sum(n6,n7))
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f358,f164]) ).
fof(f358,plain,
( sK1 = sum(pred(sum(n2,succ(n6))),sum(n6,pred(n8)))
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f357,f149]) ).
fof(f357,plain,
( sum(pred(sum(n2,succ(n6))),sum(n6,pred(sum(n2,n6)))) = sK1
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f356,f225]) ).
fof(f356,plain,
( sum(pred(sum(sK2,succ(n6))),sum(n6,pred(sum(sK2,n6)))) = sK1
| ~ spl3_15 ),
inference(superposition,[],[f204,f278]) ).
fof(f352,plain,
( ~ spl3_2
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f351,plain,
( $false
| ~ spl3_2
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f350,f108]) ).
fof(f350,plain,
( n0 = sK1
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f349,f37]) ).
fof(f349,plain,
( sum(n1,n10) = sK1
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f348,f163]) ).
fof(f348,plain,
( sum(pred(n2),n10) = sK1
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f347,f113]) ).
fof(f347,plain,
( sK1 = sum(pred(sum(n2,n0)),n10)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f346,f56]) ).
fof(f346,plain,
( sK1 = sum(pred(sum(n2,succ(n10))),n10)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f345,f85]) ).
fof(f345,plain,
( sK1 = sum(pred(sum(n2,succ(n10))),sum(n10,n0))
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f344,f182]) ).
fof(f344,plain,
( sK1 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(n1)))
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f343,f47]) ).
fof(f343,plain,
( sK1 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(sum(n2,n10))))
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f342,f225]) ).
fof(f342,plain,
( sK1 = sum(pred(sum(sK2,succ(n10))),sum(n10,pred(sum(sK2,n10))))
| ~ spl3_14 ),
inference(superposition,[],[f204,f274]) ).
fof(f339,plain,
( ~ spl3_2
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f338]) ).
fof(f338,plain,
( $false
| ~ spl3_2
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f337,f53]) ).
fof(f337,plain,
( n4 = sK1
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f336,f98]) ).
fof(f336,plain,
( sum(n6,n9) = sK1
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f335,f209]) ).
fof(f335,plain,
( sK1 = sum(pred(n7),n9)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f334,f179]) ).
fof(f334,plain,
( sK1 = sum(pred(sum(n2,n5)),n9)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f333,f127]) ).
fof(f333,plain,
( sK1 = sum(pred(sum(n2,succ(n4))),n9)
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f332,f69]) ).
fof(f332,plain,
( sK1 = sum(pred(sum(n2,succ(n4))),sum(n4,n5))
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f331,f125]) ).
fof(f331,plain,
( sum(pred(sum(n2,succ(n4))),sum(n4,pred(n6))) = sK1
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f330,f93]) ).
fof(f330,plain,
( sK1 = sum(pred(sum(n2,succ(n4))),sum(n4,pred(sum(n2,n4))))
| ~ spl3_2
| ~ spl3_13 ),
inference(forward_demodulation,[],[f308,f270]) ).
fof(f308,plain,
( sK1 = sum(pred(sum(n2,succ(sK0))),sum(sK0,pred(sum(n2,sK0))))
| ~ spl3_2 ),
inference(superposition,[],[f204,f225]) ).
fof(f329,plain,
( ~ spl3_2
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| ~ spl3_2
| ~ spl3_12 ),
inference(subsumption_resolution,[],[f327,f19]) ).
fof(f327,plain,
( n3 = sK1
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f326,f148]) ).
fof(f326,plain,
( sum(n2,n1) = sK1
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f325,f20]) ).
fof(f325,plain,
( sK1 = sum(pred(n3),n1)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f324,f148]) ).
fof(f324,plain,
( sK1 = sum(pred(sum(n2,n1)),n1)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f323,f58]) ).
fof(f323,plain,
( sK1 = sum(pred(sum(n2,succ(n0))),n1)
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f322,f25]) ).
fof(f322,plain,
( sum(pred(sum(n2,succ(n0))),sum(n0,n1)) = sK1
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f321,f163]) ).
fof(f321,plain,
( sK1 = sum(pred(sum(n2,succ(n0))),sum(n0,pred(n2)))
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f320,f113]) ).
fof(f320,plain,
( sum(pred(sum(n2,succ(n0))),sum(n0,pred(sum(n2,n0)))) = sK1
| ~ spl3_2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f309,f225]) ).
fof(f309,plain,
( sum(pred(sum(sK2,succ(n0))),sum(n0,pred(sum(sK2,n0)))) = sK1
| ~ spl3_12 ),
inference(superposition,[],[f204,f266]) ).
fof(f307,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,[],[f100,f304,f300,f296,f292,f288,f284,f280,f276,f272,f268,f264]) ).
fof(f100,plain,
( n1 = sK0
| n3 = sK0
| n2 = sK0
| n8 = sK0
| n5 = sK0
| n9 = sK0
| n7 = sK0
| n6 = sK0
| n10 = sK0
| n4 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f262,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,[],[f29,f259,f255,f251,f247,f243,f239,f235,f231,f227,f223,f219]) ).
fof(f29,plain,
( n5 = sK2
| n6 = sK2
| n4 = sK2
| n9 = sK2
| n3 = sK2
| n10 = sK2
| n7 = sK2
| n0 = sK2
| n8 = sK2
| n2 = sK2
| n1 = sK2 ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM375+1.010 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 06:38:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (17679)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (17678)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (17688)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (17686)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (17675)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (17694)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.36/0.52 % (17697)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.36/0.52 % (17680)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.52 % (17677)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.52 % (17676)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.36/0.53 % (17682)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.36/0.53 % (17682)Instruction limit reached!
% 1.36/0.53 % (17682)------------------------------
% 1.36/0.53 % (17682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (17682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (17682)Termination reason: Unknown
% 1.36/0.53 % (17682)Termination phase: Preprocessing 3
% 1.36/0.53
% 1.36/0.53 % (17682)Memory used [KB]: 1023
% 1.36/0.53 % (17682)Time elapsed: 0.003 s
% 1.36/0.53 % (17682)Instructions burned: 2 (million)
% 1.36/0.53 % (17682)------------------------------
% 1.36/0.53 % (17682)------------------------------
% 1.36/0.53 % (17693)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.53 % (17674)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.36/0.53 % (17683)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.53 % (17692)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.53 % (17684)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.53 % (17681)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.53 % (17701)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.36/0.53 % (17702)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.36/0.53 % (17681)Instruction limit reached!
% 1.36/0.53 % (17681)------------------------------
% 1.36/0.53 % (17681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (17681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (17681)Termination reason: Unknown
% 1.36/0.53 % (17681)Termination phase: Saturation
% 1.36/0.53
% 1.36/0.53 % (17681)Memory used [KB]: 5628
% 1.36/0.53 % (17681)Time elapsed: 0.133 s
% 1.36/0.53 % (17681)Instructions burned: 7 (million)
% 1.36/0.53 % (17681)------------------------------
% 1.36/0.53 % (17681)------------------------------
% 1.36/0.53 % (17703)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.36/0.54 % (17695)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.36/0.54 % (17700)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.36/0.54 % (17698)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.36/0.54 % (17699)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.36/0.54 % (17685)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.54 % (17687)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.51/0.54 % (17690)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.51/0.54 % (17704)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.51/0.54 % (17691)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.51/0.54 % (17689)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.51/0.57 TRYING [12]
% 1.51/0.57 TRYING [12]
% 1.51/0.58 TRYING [12]
% 1.51/0.58 % (17676)Instruction limit reached!
% 1.51/0.58 % (17676)------------------------------
% 1.51/0.58 % (17676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.58 % (17676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.58 % (17676)Termination reason: Unknown
% 1.51/0.58 % (17676)Termination phase: Saturation
% 1.51/0.58
% 1.51/0.58 % (17676)Memory used [KB]: 1279
% 1.51/0.58 % (17676)Time elapsed: 0.179 s
% 1.51/0.58 % (17676)Instructions burned: 39 (million)
% 1.51/0.58 % (17676)------------------------------
% 1.51/0.58 % (17676)------------------------------
% 1.51/0.59 % (17679)Instruction limit reached!
% 1.51/0.59 % (17679)------------------------------
% 1.51/0.59 % (17679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.59 % (17679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.59 % (17679)Termination reason: Unknown
% 1.51/0.59 % (17679)Termination phase: Saturation
% 1.51/0.59
% 1.51/0.59 % (17679)Memory used [KB]: 6140
% 1.51/0.59 % (17679)Time elapsed: 0.174 s
% 1.51/0.59 % (17679)Instructions burned: 49 (million)
% 1.51/0.59 % (17679)------------------------------
% 1.51/0.59 % (17679)------------------------------
% 1.51/0.60 % (17680)Instruction limit reached!
% 1.51/0.60 % (17680)------------------------------
% 1.51/0.60 % (17680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.60 % (17683)Instruction limit reached!
% 1.51/0.60 % (17683)------------------------------
% 1.51/0.60 % (17683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.60 % (17683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.60 % (17683)Termination reason: Unknown
% 1.51/0.60 % (17683)Termination phase: Saturation
% 1.51/0.60
% 1.51/0.60 % (17683)Memory used [KB]: 1279
% 1.51/0.60 % (17683)Time elapsed: 0.173 s
% 1.51/0.60 % (17683)Instructions burned: 51 (million)
% 1.51/0.60 % (17683)------------------------------
% 1.51/0.60 % (17683)------------------------------
% 1.51/0.60 % (17678)Instruction limit reached!
% 1.51/0.60 % (17678)------------------------------
% 1.51/0.60 % (17678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.60 % (17678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.60 % (17678)Termination reason: Unknown
% 1.51/0.60 % (17678)Termination phase: Saturation
% 1.51/0.60
% 1.51/0.60 % (17678)Memory used [KB]: 6140
% 1.51/0.60 % (17678)Time elapsed: 0.026 s
% 1.51/0.60 % (17678)Instructions burned: 51 (million)
% 1.51/0.60 % (17678)------------------------------
% 1.51/0.60 % (17678)------------------------------
% 1.51/0.60 % (17675)Instruction limit reached!
% 1.51/0.60 % (17675)------------------------------
% 1.51/0.60 % (17675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.60 % (17680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.60 % (17680)Termination reason: Unknown
% 1.51/0.60 % (17680)Termination phase: Finite model building constraint generation
% 1.51/0.60
% 1.51/0.60 % (17680)Memory used [KB]: 9978
% 1.51/0.60 % (17680)Time elapsed: 0.132 s
% 1.51/0.60 % (17680)Instructions burned: 52 (million)
% 1.51/0.60 % (17680)------------------------------
% 1.51/0.60 % (17680)------------------------------
% 1.51/0.61 % (17687)First to succeed.
% 1.51/0.61 % (17675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.61 % (17675)Termination reason: Unknown
% 1.51/0.61 % (17675)Termination phase: Saturation
% 1.51/0.61
% 1.51/0.61 % (17675)Memory used [KB]: 6140
% 1.51/0.61 % (17675)Time elapsed: 0.040 s
% 1.51/0.61 % (17675)Instructions burned: 51 (million)
% 1.51/0.61 % (17675)------------------------------
% 1.51/0.61 % (17675)------------------------------
% 1.51/0.61 % (17684)Instruction limit reached!
% 1.51/0.61 % (17684)------------------------------
% 1.51/0.61 % (17684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.61 % (17689)Instruction limit reached!
% 1.51/0.61 % (17689)------------------------------
% 1.51/0.61 % (17689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.61 % (17677)Instruction limit reached!
% 1.51/0.61 % (17677)------------------------------
% 1.51/0.61 % (17677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.62 % (17688)Instruction limit reached!
% 1.51/0.62 % (17688)------------------------------
% 1.51/0.62 % (17688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.62 % (17684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.62 % (17684)Termination reason: Unknown
% 1.51/0.62 % (17684)Termination phase: Saturation
% 1.51/0.62
% 1.51/0.62 % (17684)Memory used [KB]: 6012
% 1.51/0.62 % (17684)Time elapsed: 0.208 s
% 1.51/0.62 % (17684)Instructions burned: 52 (million)
% 1.51/0.62 % (17684)------------------------------
% 1.51/0.62 % (17684)------------------------------
% 1.51/0.62 % (17677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.62 % (17677)Termination reason: Unknown
% 1.51/0.62 % (17677)Termination phase: Saturation
% 1.51/0.62
% 1.51/0.62 % (17677)Memory used [KB]: 6140
% 1.51/0.62 % (17677)Time elapsed: 0.198 s
% 1.51/0.62 % (17677)Instructions burned: 51 (million)
% 1.51/0.62 % (17677)------------------------------
% 1.51/0.62 % (17677)------------------------------
% 1.51/0.62 % (17691)Instruction limit reached!
% 1.51/0.62 % (17691)------------------------------
% 1.51/0.62 % (17691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.62 % (17691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.62 % (17691)Termination reason: Unknown
% 1.51/0.62 % (17691)Termination phase: Finite model building constraint generation
% 1.51/0.62
% 1.51/0.62 % (17691)Memory used [KB]: 11385
% 1.51/0.62 % (17691)Time elapsed: 0.185 s
% 1.51/0.62 % (17691)Instructions burned: 62 (million)
% 1.51/0.62 % (17691)------------------------------
% 1.51/0.62 % (17691)------------------------------
% 2.22/0.63 % (17688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.63 % (17688)Termination reason: Unknown
% 2.22/0.63 % (17688)Termination phase: Saturation
% 2.22/0.63
% 2.22/0.63 % (17688)Memory used [KB]: 6780
% 2.22/0.63 % (17688)Time elapsed: 0.038 s
% 2.22/0.63 % (17688)Instructions burned: 70 (million)
% 2.22/0.63 % (17688)------------------------------
% 2.22/0.63 % (17688)------------------------------
% 2.22/0.63 % (17701)Instruction limit reached!
% 2.22/0.63 % (17701)------------------------------
% 2.22/0.63 % (17701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.63 % (17701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.63 % (17701)Termination reason: Unknown
% 2.22/0.63 % (17701)Termination phase: Saturation
% 2.22/0.63
% 2.22/0.63 % (17701)Memory used [KB]: 6908
% 2.22/0.63 % (17701)Time elapsed: 0.056 s
% 2.22/0.63 % (17701)Instructions burned: 69 (million)
% 2.22/0.63 % (17701)------------------------------
% 2.22/0.63 % (17701)------------------------------
% 2.22/0.64 % (17689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.64 % (17689)Termination reason: Unknown
% 2.22/0.64 % (17689)Termination phase: Saturation
% 2.22/0.64
% 2.22/0.64 % (17689)Memory used [KB]: 1407
% 2.22/0.64 % (17689)Time elapsed: 0.204 s
% 2.22/0.64 % (17689)Instructions burned: 76 (million)
% 2.22/0.64 % (17689)------------------------------
% 2.22/0.64 % (17689)------------------------------
% 2.22/0.64 % (17693)Instruction limit reached!
% 2.22/0.64 % (17693)------------------------------
% 2.22/0.64 % (17693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.64 % (17693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.64 % (17693)Termination reason: Unknown
% 2.22/0.64 % (17693)Termination phase: Saturation
% 2.22/0.64
% 2.22/0.64 % (17693)Memory used [KB]: 1407
% 2.22/0.64 % (17693)Time elapsed: 0.234 s
% 2.22/0.64 % (17693)Instructions burned: 100 (million)
% 2.22/0.64 % (17693)------------------------------
% 2.22/0.64 % (17693)------------------------------
% 2.22/0.65 % (17687)Refutation found. Thanks to Tanya!
% 2.22/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.22/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.65 % (17687)------------------------------
% 2.22/0.65 % (17687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.65 % (17687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.65 % (17687)Termination reason: Refutation
% 2.22/0.65
% 2.22/0.65 % (17687)Memory used [KB]: 6524
% 2.22/0.65 % (17687)Time elapsed: 0.207 s
% 2.22/0.65 % (17687)Instructions burned: 51 (million)
% 2.22/0.65 % (17687)------------------------------
% 2.22/0.65 % (17687)------------------------------
% 2.22/0.65 % (17673)Success in time 0.298 s
%------------------------------------------------------------------------------