TSTP Solution File: NUM377+1.010 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM377+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 : Fri May 3 02:49:01 EDT 2024
% Result : Unsatisfiable 0.47s 1.15s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 346 ( 327 unt; 0 def)
% Number of atoms : 1521 (1520 equ)
% Maximal formula atoms : 500 ( 4 avg)
% Number of connectives : 1455 ( 280 ~; 294 |; 880 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 244 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 33 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 0 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( X20 != X21
| X18 != X19
| X16 != X17
| X14 != X15
| X12 != X13
| X10 != X11
| X8 != X9
| X6 != X7
| X4 != X5
| X2 != X3 )
& sum(sum(pred(X18),succ(X18)),sum(pred(X19),succ(X19))) = X21
& sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
& sum(sum(pred(X16),succ(X16)),sum(pred(X17),succ(X17))) = X19
& sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
& sum(sum(pred(X14),succ(X14)),sum(pred(X15),succ(X15))) = X17
& sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
& sum(sum(pred(X12),succ(X12)),sum(pred(X13),succ(X13))) = X15
& sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
& sum(sum(pred(X10),succ(X10)),sum(pred(X11),succ(X11))) = X13
& sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
& sum(sum(pred(X8),succ(X8)),sum(pred(X9),succ(X9))) = X11
& sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
& sum(sum(pred(X6),succ(X6)),sum(pred(X7),succ(X7))) = X9
& sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
& sum(sum(pred(X4),succ(X4)),sum(pred(X5),succ(X5))) = X7
& sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
& sum(sum(pred(X2),succ(X2)),sum(pred(X3),succ(X3))) = X5
& sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
& sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1))) = X3
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
& ( n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( X20 != X21
| X18 != X19
| X16 != X17
| X14 != X15
| X12 != X13
| X10 != X11
| X8 != X9
| X6 != X7
| X4 != X5
| X2 != X3 )
& sum(sum(pred(X18),succ(X18)),sum(pred(X19),succ(X19))) = X21
& sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
& sum(sum(pred(X16),succ(X16)),sum(pred(X17),succ(X17))) = X19
& sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
& sum(sum(pred(X14),succ(X14)),sum(pred(X15),succ(X15))) = X17
& sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
& sum(sum(pred(X12),succ(X12)),sum(pred(X13),succ(X13))) = X15
& sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
& sum(sum(pred(X10),succ(X10)),sum(pred(X11),succ(X11))) = X13
& sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
& sum(sum(pred(X8),succ(X8)),sum(pred(X9),succ(X9))) = X11
& sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
& sum(sum(pred(X6),succ(X6)),sum(pred(X7),succ(X7))) = X9
& sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
& sum(sum(pred(X4),succ(X4)),sum(pred(X5),succ(X5))) = X7
& sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
& sum(sum(pred(X2),succ(X2)),sum(pred(X3),succ(X3))) = X5
& sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
& sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1))) = X3
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
& ( n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 )
=> ( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15
| sK12 != sK13
| sK10 != sK11
| sK8 != sK9
| sK6 != sK7
| sK4 != sK5
| sK2 != sK3 )
& sK21 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK19),succ(sK19)))
& sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
& sK19 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK17),succ(sK17)))
& sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
& sK17 = sum(sum(pred(sK14),succ(sK14)),sum(pred(sK15),succ(sK15)))
& sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
& sK15 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK13),succ(sK13)))
& sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
& sK13 = sum(sum(pred(sK10),succ(sK10)),sum(pred(sK11),succ(sK11)))
& sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
& sK11 = sum(sum(pred(sK8),succ(sK8)),sum(pred(sK9),succ(sK9)))
& sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
& sK9 = sum(sum(pred(sK6),succ(sK6)),sum(pred(sK7),succ(sK7)))
& sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
& sK7 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK5),succ(sK5)))
& sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
& sK5 = sum(sum(pred(sK2),succ(sK2)),sum(pred(sK3),succ(sK3)))
& sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
& sK3 = sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
& sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))
& ( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
( n9 != n10
& n8 != n10
& n8 != n9
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15
| sK12 != sK13
| sK10 != sK11
| sK8 != sK9
| sK6 != sK7
| sK4 != sK5
| sK2 != sK3 )
& sK21 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK19),succ(sK19)))
& sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
& sK19 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK17),succ(sK17)))
& sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
& sK17 = sum(sum(pred(sK14),succ(sK14)),sum(pred(sK15),succ(sK15)))
& sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
& sK15 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK13),succ(sK13)))
& sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
& sK13 = sum(sum(pred(sK10),succ(sK10)),sum(pred(sK11),succ(sK11)))
& sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
& sK11 = sum(sum(pred(sK8),succ(sK8)),sum(pred(sK9),succ(sK9)))
& sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
& sK9 = sum(sum(pred(sK6),succ(sK6)),sum(pred(sK7),succ(sK7)))
& sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
& sK7 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK5),succ(sK5)))
& sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
& sK5 = sum(sum(pred(sK2),succ(sK2)),sum(pred(sK3),succ(sK3)))
& sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
& sK3 = sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
& sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))
& ( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n9 = sum(n10,n10)
& n8 = sum(n10,n9)
& n7 = sum(n10,n8)
& n6 = sum(n10,n7)
& n5 = sum(n10,n6)
& n4 = sum(n10,n5)
& n3 = sum(n10,n4)
& n2 = sum(n10,n3)
& n1 = sum(n10,n2)
& n0 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n10)
& n7 = sum(n9,n9)
& n6 = sum(n9,n8)
& n5 = sum(n9,n7)
& n4 = sum(n9,n6)
& n3 = sum(n9,n5)
& n2 = sum(n9,n4)
& n1 = sum(n9,n3)
& n0 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n10)
& n6 = sum(n8,n9)
& n5 = sum(n8,n8)
& n4 = sum(n8,n7)
& n3 = sum(n8,n6)
& n2 = sum(n8,n5)
& n1 = sum(n8,n4)
& n0 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n10)
& n5 = sum(n7,n9)
& n4 = sum(n7,n8)
& n3 = sum(n7,n7)
& n2 = sum(n7,n6)
& n1 = sum(n7,n5)
& n0 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n10)
& n4 = sum(n6,n9)
& n3 = sum(n6,n8)
& n2 = sum(n6,n7)
& n1 = sum(n6,n6)
& n0 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n10)
& n3 = sum(n5,n9)
& n2 = sum(n5,n8)
& n1 = sum(n5,n7)
& n0 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n10)
& n2 = sum(n4,n9)
& n1 = sum(n4,n8)
& n0 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n10)
& n1 = sum(n3,n9)
& n0 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n10)
& n0 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n10 = pred(n0)
& n0 = succ(n10)
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21])],[f1,f2]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f3]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f3]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f3]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f3]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f3]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f3]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f3]) ).
fof(f14,plain,
n0 = succ(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
n10 = pred(n0),
inference(cnf_transformation,[],[f3]) ).
fof(f16,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f3]) ).
fof(f18,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f3]) ).
fof(f19,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f27,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f31,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f36,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f37,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f40,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f43,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f44,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f45,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f46,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f47,plain,
n0 = sum(n1,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f48,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f49,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f50,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f51,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f52,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f53,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f54,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f55,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f56,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f57,plain,
n0 = sum(n2,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f58,plain,
n1 = sum(n2,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f59,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f60,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f61,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f62,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f63,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f64,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f65,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f66,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f67,plain,
n0 = sum(n3,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f68,plain,
n1 = sum(n3,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f69,plain,
n2 = sum(n3,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f70,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f71,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f72,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f73,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f74,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f75,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f76,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f77,plain,
n0 = sum(n4,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f78,plain,
n1 = sum(n4,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f79,plain,
n2 = sum(n4,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f80,plain,
n3 = sum(n4,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f81,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f82,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f83,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f84,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f85,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f86,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
n0 = sum(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f88,plain,
n1 = sum(n5,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f89,plain,
n2 = sum(n5,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f90,plain,
n3 = sum(n5,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f91,plain,
n4 = sum(n5,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f92,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f93,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f94,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f95,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f96,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f97,plain,
n0 = sum(n6,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f98,plain,
n1 = sum(n6,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
n2 = sum(n6,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f100,plain,
n3 = sum(n6,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f101,plain,
n4 = sum(n6,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
n5 = sum(n6,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f105,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f107,plain,
n0 = sum(n7,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
n1 = sum(n7,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
n2 = sum(n7,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
n3 = sum(n7,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
n4 = sum(n7,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
n5 = sum(n7,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
n6 = sum(n7,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
n0 = sum(n8,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
n1 = sum(n8,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
n2 = sum(n8,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
n3 = sum(n8,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
n4 = sum(n8,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
n5 = sum(n8,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
n6 = sum(n8,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
n7 = sum(n8,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
n0 = sum(n9,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
n1 = sum(n9,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
n2 = sum(n9,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
n3 = sum(n9,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
n4 = sum(n9,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
n5 = sum(n9,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
n6 = sum(n9,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
n7 = sum(n9,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
n8 = sum(n9,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
n0 = sum(n10,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
n1 = sum(n10,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
n2 = sum(n10,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f140,plain,
n3 = sum(n10,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
n4 = sum(n10,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
n5 = sum(n10,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
n6 = sum(n10,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f144,plain,
n7 = sum(n10,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
n8 = sum(n10,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
n9 = sum(n10,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f147,plain,
( n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
( n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
sK3 = sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))),
inference(cnf_transformation,[],[f3]) ).
fof(f152,plain,
sK5 = sum(sum(pred(sK2),succ(sK2)),sum(pred(sK3),succ(sK3))),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
sK7 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK5),succ(sK5))),
inference(cnf_transformation,[],[f3]) ).
fof(f155,plain,
sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))),
inference(cnf_transformation,[],[f3]) ).
fof(f156,plain,
sK9 = sum(sum(pred(sK6),succ(sK6)),sum(pred(sK7),succ(sK7))),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))),
inference(cnf_transformation,[],[f3]) ).
fof(f158,plain,
sK11 = sum(sum(pred(sK8),succ(sK8)),sum(pred(sK9),succ(sK9))),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
sK13 = sum(sum(pred(sK10),succ(sK10)),sum(pred(sK11),succ(sK11))),
inference(cnf_transformation,[],[f3]) ).
fof(f161,plain,
sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))),
inference(cnf_transformation,[],[f3]) ).
fof(f162,plain,
sK15 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK13),succ(sK13))),
inference(cnf_transformation,[],[f3]) ).
fof(f163,plain,
sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))),
inference(cnf_transformation,[],[f3]) ).
fof(f164,plain,
sK17 = sum(sum(pred(sK14),succ(sK14)),sum(pred(sK15),succ(sK15))),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))),
inference(cnf_transformation,[],[f3]) ).
fof(f166,plain,
sK19 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK17),succ(sK17))),
inference(cnf_transformation,[],[f3]) ).
fof(f167,plain,
sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))),
inference(cnf_transformation,[],[f3]) ).
fof(f168,plain,
sK21 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK19),succ(sK19))),
inference(cnf_transformation,[],[f3]) ).
fof(f169,plain,
( sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15
| sK12 != sK13
| sK10 != sK11
| sK8 != sK9
| sK6 != sK7
| sK4 != sK5
| sK2 != sK3 ),
inference(cnf_transformation,[],[f3]) ).
cnf(c_104,plain,
( sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15
| sK12 != sK13
| sK10 != sK11
| sK8 != sK9
| sK6 != sK7
| sK4 != sK5
| sK2 != sK3 ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_105,plain,
sum(sum(pred(sK18),succ(sK18)),sum(pred(sK19),succ(sK19))) = sK21,
inference(cnf_transformation,[],[f168]) ).
cnf(c_106,plain,
sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))) = sK20,
inference(cnf_transformation,[],[f167]) ).
cnf(c_107,plain,
sum(sum(pred(sK16),succ(sK16)),sum(pred(sK17),succ(sK17))) = sK19,
inference(cnf_transformation,[],[f166]) ).
cnf(c_108,plain,
sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))) = sK18,
inference(cnf_transformation,[],[f165]) ).
cnf(c_109,plain,
sum(sum(pred(sK14),succ(sK14)),sum(pred(sK15),succ(sK15))) = sK17,
inference(cnf_transformation,[],[f164]) ).
cnf(c_110,plain,
sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))) = sK16,
inference(cnf_transformation,[],[f163]) ).
cnf(c_111,plain,
sum(sum(pred(sK12),succ(sK12)),sum(pred(sK13),succ(sK13))) = sK15,
inference(cnf_transformation,[],[f162]) ).
cnf(c_112,plain,
sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))) = sK14,
inference(cnf_transformation,[],[f161]) ).
cnf(c_113,plain,
sum(sum(pred(sK10),succ(sK10)),sum(pred(sK11),succ(sK11))) = sK13,
inference(cnf_transformation,[],[f160]) ).
cnf(c_114,plain,
sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))) = sK12,
inference(cnf_transformation,[],[f159]) ).
cnf(c_115,plain,
sum(sum(pred(sK8),succ(sK8)),sum(pred(sK9),succ(sK9))) = sK11,
inference(cnf_transformation,[],[f158]) ).
cnf(c_116,plain,
sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))) = sK10,
inference(cnf_transformation,[],[f157]) ).
cnf(c_117,plain,
sum(sum(pred(sK6),succ(sK6)),sum(pred(sK7),succ(sK7))) = sK9,
inference(cnf_transformation,[],[f156]) ).
cnf(c_118,plain,
sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))) = sK8,
inference(cnf_transformation,[],[f155]) ).
cnf(c_119,plain,
sum(sum(pred(sK4),succ(sK4)),sum(pred(sK5),succ(sK5))) = sK7,
inference(cnf_transformation,[],[f154]) ).
cnf(c_120,plain,
sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))) = sK6,
inference(cnf_transformation,[],[f153]) ).
cnf(c_121,plain,
sum(sum(pred(sK2),succ(sK2)),sum(pred(sK3),succ(sK3))) = sK5,
inference(cnf_transformation,[],[f152]) ).
cnf(c_122,plain,
sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))) = sK4,
inference(cnf_transformation,[],[f151]) ).
cnf(c_123,plain,
sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))) = sK3,
inference(cnf_transformation,[],[f150]) ).
cnf(c_124,plain,
sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) = sK2,
inference(cnf_transformation,[],[f149]) ).
cnf(c_125,plain,
( n9 = sK1
| n10 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_126,plain,
( n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_127,plain,
sum(n10,n10) = n9,
inference(cnf_transformation,[],[f146]) ).
cnf(c_128,plain,
sum(n10,n9) = n8,
inference(cnf_transformation,[],[f145]) ).
cnf(c_129,plain,
sum(n10,n8) = n7,
inference(cnf_transformation,[],[f144]) ).
cnf(c_130,plain,
sum(n10,n7) = n6,
inference(cnf_transformation,[],[f143]) ).
cnf(c_131,plain,
sum(n10,n6) = n5,
inference(cnf_transformation,[],[f142]) ).
cnf(c_132,plain,
sum(n10,n5) = n4,
inference(cnf_transformation,[],[f141]) ).
cnf(c_133,plain,
sum(n10,n4) = n3,
inference(cnf_transformation,[],[f140]) ).
cnf(c_134,plain,
sum(n10,n3) = n2,
inference(cnf_transformation,[],[f139]) ).
cnf(c_135,plain,
sum(n10,n2) = n1,
inference(cnf_transformation,[],[f138]) ).
cnf(c_136,plain,
sum(n10,n1) = n0,
inference(cnf_transformation,[],[f137]) ).
cnf(c_137,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[],[f136]) ).
cnf(c_138,plain,
sum(n9,n10) = n8,
inference(cnf_transformation,[],[f135]) ).
cnf(c_139,plain,
sum(n9,n9) = n7,
inference(cnf_transformation,[],[f134]) ).
cnf(c_140,plain,
sum(n9,n8) = n6,
inference(cnf_transformation,[],[f133]) ).
cnf(c_141,plain,
sum(n9,n7) = n5,
inference(cnf_transformation,[],[f132]) ).
cnf(c_142,plain,
sum(n9,n6) = n4,
inference(cnf_transformation,[],[f131]) ).
cnf(c_143,plain,
sum(n9,n5) = n3,
inference(cnf_transformation,[],[f130]) ).
cnf(c_144,plain,
sum(n9,n4) = n2,
inference(cnf_transformation,[],[f129]) ).
cnf(c_145,plain,
sum(n9,n3) = n1,
inference(cnf_transformation,[],[f128]) ).
cnf(c_146,plain,
sum(n9,n2) = n0,
inference(cnf_transformation,[],[f127]) ).
cnf(c_147,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[],[f126]) ).
cnf(c_148,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[],[f125]) ).
cnf(c_149,plain,
sum(n8,n10) = n7,
inference(cnf_transformation,[],[f124]) ).
cnf(c_150,plain,
sum(n8,n9) = n6,
inference(cnf_transformation,[],[f123]) ).
cnf(c_151,plain,
sum(n8,n8) = n5,
inference(cnf_transformation,[],[f122]) ).
cnf(c_152,plain,
sum(n8,n7) = n4,
inference(cnf_transformation,[],[f121]) ).
cnf(c_153,plain,
sum(n8,n6) = n3,
inference(cnf_transformation,[],[f120]) ).
cnf(c_154,plain,
sum(n8,n5) = n2,
inference(cnf_transformation,[],[f119]) ).
cnf(c_155,plain,
sum(n8,n4) = n1,
inference(cnf_transformation,[],[f118]) ).
cnf(c_156,plain,
sum(n8,n3) = n0,
inference(cnf_transformation,[],[f117]) ).
cnf(c_157,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[],[f116]) ).
cnf(c_158,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[],[f115]) ).
cnf(c_159,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[],[f114]) ).
cnf(c_160,plain,
sum(n7,n10) = n6,
inference(cnf_transformation,[],[f113]) ).
cnf(c_161,plain,
sum(n7,n9) = n5,
inference(cnf_transformation,[],[f112]) ).
cnf(c_162,plain,
sum(n7,n8) = n4,
inference(cnf_transformation,[],[f111]) ).
cnf(c_163,plain,
sum(n7,n7) = n3,
inference(cnf_transformation,[],[f110]) ).
cnf(c_164,plain,
sum(n7,n6) = n2,
inference(cnf_transformation,[],[f109]) ).
cnf(c_165,plain,
sum(n7,n5) = n1,
inference(cnf_transformation,[],[f108]) ).
cnf(c_166,plain,
sum(n7,n4) = n0,
inference(cnf_transformation,[],[f107]) ).
cnf(c_167,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[],[f106]) ).
cnf(c_168,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[],[f105]) ).
cnf(c_169,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[],[f104]) ).
cnf(c_170,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[],[f103]) ).
cnf(c_171,plain,
sum(n6,n10) = n5,
inference(cnf_transformation,[],[f102]) ).
cnf(c_172,plain,
sum(n6,n9) = n4,
inference(cnf_transformation,[],[f101]) ).
cnf(c_173,plain,
sum(n6,n8) = n3,
inference(cnf_transformation,[],[f100]) ).
cnf(c_174,plain,
sum(n6,n7) = n2,
inference(cnf_transformation,[],[f99]) ).
cnf(c_175,plain,
sum(n6,n6) = n1,
inference(cnf_transformation,[],[f98]) ).
cnf(c_176,plain,
sum(n6,n5) = n0,
inference(cnf_transformation,[],[f97]) ).
cnf(c_177,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[],[f96]) ).
cnf(c_178,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[],[f95]) ).
cnf(c_179,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[],[f94]) ).
cnf(c_180,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[],[f93]) ).
cnf(c_181,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[],[f92]) ).
cnf(c_182,plain,
sum(n5,n10) = n4,
inference(cnf_transformation,[],[f91]) ).
cnf(c_183,plain,
sum(n5,n9) = n3,
inference(cnf_transformation,[],[f90]) ).
cnf(c_184,plain,
sum(n5,n8) = n2,
inference(cnf_transformation,[],[f89]) ).
cnf(c_185,plain,
sum(n5,n7) = n1,
inference(cnf_transformation,[],[f88]) ).
cnf(c_186,plain,
sum(n5,n6) = n0,
inference(cnf_transformation,[],[f87]) ).
cnf(c_187,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[],[f86]) ).
cnf(c_188,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[],[f85]) ).
cnf(c_189,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[],[f84]) ).
cnf(c_190,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[],[f83]) ).
cnf(c_191,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[],[f82]) ).
cnf(c_192,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[],[f81]) ).
cnf(c_193,plain,
sum(n4,n10) = n3,
inference(cnf_transformation,[],[f80]) ).
cnf(c_194,plain,
sum(n4,n9) = n2,
inference(cnf_transformation,[],[f79]) ).
cnf(c_195,plain,
sum(n4,n8) = n1,
inference(cnf_transformation,[],[f78]) ).
cnf(c_196,plain,
sum(n4,n7) = n0,
inference(cnf_transformation,[],[f77]) ).
cnf(c_197,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[],[f76]) ).
cnf(c_198,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[],[f75]) ).
cnf(c_199,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[],[f74]) ).
cnf(c_200,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[],[f73]) ).
cnf(c_201,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[],[f72]) ).
cnf(c_202,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[],[f71]) ).
cnf(c_203,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[],[f70]) ).
cnf(c_204,plain,
sum(n3,n10) = n2,
inference(cnf_transformation,[],[f69]) ).
cnf(c_205,plain,
sum(n3,n9) = n1,
inference(cnf_transformation,[],[f68]) ).
cnf(c_206,plain,
sum(n3,n8) = n0,
inference(cnf_transformation,[],[f67]) ).
cnf(c_207,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[],[f66]) ).
cnf(c_208,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[],[f65]) ).
cnf(c_209,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[],[f64]) ).
cnf(c_210,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[],[f63]) ).
cnf(c_211,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[],[f62]) ).
cnf(c_212,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[],[f61]) ).
cnf(c_213,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[],[f60]) ).
cnf(c_214,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[],[f59]) ).
cnf(c_215,plain,
sum(n2,n10) = n1,
inference(cnf_transformation,[],[f58]) ).
cnf(c_216,plain,
sum(n2,n9) = n0,
inference(cnf_transformation,[],[f57]) ).
cnf(c_217,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[],[f56]) ).
cnf(c_218,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[],[f55]) ).
cnf(c_219,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[],[f54]) ).
cnf(c_220,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[],[f53]) ).
cnf(c_221,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[],[f52]) ).
cnf(c_222,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[],[f51]) ).
cnf(c_223,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[],[f50]) ).
cnf(c_224,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[],[f49]) ).
cnf(c_225,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[],[f48]) ).
cnf(c_226,plain,
sum(n1,n10) = n0,
inference(cnf_transformation,[],[f47]) ).
cnf(c_227,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[],[f46]) ).
cnf(c_228,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[],[f45]) ).
cnf(c_229,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[],[f44]) ).
cnf(c_230,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[],[f43]) ).
cnf(c_231,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[],[f42]) ).
cnf(c_232,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[],[f41]) ).
cnf(c_233,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[],[f40]) ).
cnf(c_234,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[],[f39]) ).
cnf(c_235,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[],[f38]) ).
cnf(c_236,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[],[f37]) ).
cnf(c_237,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[],[f36]) ).
cnf(c_238,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[],[f35]) ).
cnf(c_239,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[],[f34]) ).
cnf(c_240,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[],[f33]) ).
cnf(c_241,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[],[f32]) ).
cnf(c_242,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[],[f31]) ).
cnf(c_243,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[],[f30]) ).
cnf(c_244,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[],[f29]) ).
cnf(c_245,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[],[f28]) ).
cnf(c_246,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[],[f27]) ).
cnf(c_247,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[],[f26]) ).
cnf(c_248,plain,
pred(n10) = n9,
inference(cnf_transformation,[],[f25]) ).
cnf(c_249,plain,
pred(n9) = n8,
inference(cnf_transformation,[],[f24]) ).
cnf(c_250,plain,
pred(n8) = n7,
inference(cnf_transformation,[],[f23]) ).
cnf(c_251,plain,
pred(n7) = n6,
inference(cnf_transformation,[],[f22]) ).
cnf(c_252,plain,
pred(n6) = n5,
inference(cnf_transformation,[],[f21]) ).
cnf(c_253,plain,
pred(n5) = n4,
inference(cnf_transformation,[],[f20]) ).
cnf(c_254,plain,
pred(n4) = n3,
inference(cnf_transformation,[],[f19]) ).
cnf(c_255,plain,
pred(n3) = n2,
inference(cnf_transformation,[],[f18]) ).
cnf(c_256,plain,
pred(n2) = n1,
inference(cnf_transformation,[],[f17]) ).
cnf(c_257,plain,
pred(n1) = n0,
inference(cnf_transformation,[],[f16]) ).
cnf(c_258,plain,
pred(n0) = n10,
inference(cnf_transformation,[],[f15]) ).
cnf(c_259,plain,
succ(n10) = n0,
inference(cnf_transformation,[],[f14]) ).
cnf(c_260,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f13]) ).
cnf(c_261,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f12]) ).
cnf(c_262,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f11]) ).
cnf(c_263,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f10]) ).
cnf(c_264,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f9]) ).
cnf(c_265,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f8]) ).
cnf(c_266,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f7]) ).
cnf(c_267,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f6]) ).
cnf(c_268,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f5]) ).
cnf(c_269,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f4]) ).
cnf(c_1391,plain,
( sum(sum(pred(sK0),succ(n0)),sum(pred(n0),succ(sK0))) = sK2
| n9 = sK1
| n10 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_125,c_124]) ).
cnf(c_1392,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n0),succ(n0))) = sK3
| n9 = sK1
| n10 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_125,c_123]) ).
cnf(c_1393,plain,
( sum(sum(pred(sK0),succ(sK0)),n0) = sK3
| n9 = sK1
| n10 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(light_normalisation,[status(thm)],[c_1392,c_136,c_258,c_269]) ).
cnf(c_1405,plain,
( sum(sum(pred(sK0),n1),sum(n10,succ(sK0))) = sK2
| n9 = sK1
| n10 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1 ),
inference(light_normalisation,[status(thm)],[c_1391,c_258,c_269]) ).
cnf(c_1439,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) = sK2
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_126,c_124]) ).
cnf(c_1440,plain,
( sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1))) = sK3
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(superposition,[status(thm)],[c_126,c_123]) ).
cnf(c_1441,plain,
( sum(n0,sum(pred(sK1),succ(sK1))) = sK3
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1440,c_136,c_258,c_269]) ).
cnf(c_1453,plain,
( sum(sum(n10,succ(sK1)),sum(pred(sK1),n1)) = sK2
| n9 = sK0
| n10 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0 ),
inference(light_normalisation,[status(thm)],[c_1439,c_258,c_269]) ).
cnf(c_1487,plain,
( sum(sum(pred(n0),succ(n0)),n0) = sK3
| n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1
| n1 = sK0
| n1 = sK1 ),
inference(superposition,[status(thm)],[c_126,c_1393]) ).
cnf(c_1489,plain,
( n9 = sK0
| n9 = sK1
| n10 = sK0
| n10 = sK1
| n8 = sK0
| n8 = sK1
| n7 = sK0
| n7 = sK1
| n6 = sK0
| n6 = sK1
| n5 = sK0
| n5 = sK1
| n4 = sK0
| n4 = sK1
| n3 = sK0
| n3 = sK1
| n2 = sK0
| n2 = sK1
| n1 = sK0
| n1 = sK1
| n0 = sK3 ),
inference(light_normalisation,[status(thm)],[c_1487,c_136,c_247,c_258,c_269]) ).
cnf(c_4891,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_1489,c_1453,c_1441,c_1405,c_1393,c_269,c_268,c_267,c_266,c_265,c_264,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_254,c_253,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM377+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 19:35:48 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.47/1.15 % SZS status Started for theBenchmark.p
% 0.47/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15
% 0.47/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.15
% 0.47/1.15 ------ iProver source info
% 0.47/1.15
% 0.47/1.15 git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.15 git: non_committed_changes: false
% 0.47/1.15
% 0.47/1.15 ------ Parsing...
% 0.47/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.47/1.15
% 0.47/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.15
% 0.47/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.15
% 0.47/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.47/1.15 ------ Proving...
% 0.47/1.15 ------ Problem Properties
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 clauses 221
% 0.47/1.15 conjectures 0
% 0.47/1.15 EPR 58
% 0.47/1.15 Horn 219
% 0.47/1.15 unary 218
% 0.47/1.15 binary 0
% 0.47/1.15 lits 250
% 0.47/1.15 lits eq 250
% 0.47/1.15 fd_pure 0
% 0.47/1.15 fd_pseudo 0
% 0.47/1.15 fd_cond 0
% 0.47/1.15 fd_pseudo_cond 0
% 0.47/1.15 AC symbols 0
% 0.47/1.15
% 0.47/1.15 ------ Schedule dynamic 5 is on
% 0.47/1.15
% 0.47/1.15 ------ no conjectures: strip conj schedule
% 0.47/1.15
% 0.47/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 ------
% 0.47/1.15 Current options:
% 0.47/1.15 ------
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 ------ Proving...
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15
% 0.47/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.15
% 0.47/1.16
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