%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM378+1.010.010 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:24:01 PM UTC 2026
% Result : Unsatisfiable 5.30s 1.95s
% Output : CNFRefutation 5.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 435 ( 427 unt; 0 def)
% Number of atoms : 1047 (1046 equ)
% Maximal formula atoms : 284 ( 2 avg)
% Number of connectives : 758 ( 146 ~; 92 |; 520 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 324 ( 2 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 76 ( 76 usr; 73 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 0 !; 62 ?; 0 :)
% 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,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61] :
( 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 )
& X21 = sum(pred(X60),sum(succ(X58),sum(pred(X61),succ(X59))))
& X20 = sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18)))
& X19 = sum(pred(X56),sum(succ(X54),sum(pred(X57),succ(X55))))
& X18 = sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16)))
& X17 = sum(pred(X52),sum(succ(X50),sum(pred(X53),succ(X51))))
& X16 = sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14)))
& X15 = sum(pred(X48),sum(succ(X46),sum(pred(X49),succ(X47))))
& X14 = sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12)))
& X13 = sum(pred(X44),sum(succ(X42),sum(pred(X45),succ(X43))))
& X12 = sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10)))
& X11 = sum(pred(X40),sum(succ(X38),sum(pred(X41),succ(X39))))
& X10 = sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8)))
& X9 = sum(pred(X36),sum(succ(X34),sum(pred(X37),succ(X35))))
& X8 = sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6)))
& X7 = sum(pred(X32),sum(succ(X30),sum(pred(X33),succ(X31))))
& X6 = sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4)))
& X5 = sum(pred(X28),sum(succ(X26),sum(pred(X29),succ(X27))))
& X4 = sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2)))
& X3 = sum(pred(X24),sum(succ(X22),sum(pred(X25),succ(X23))))
& X2 = sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0)))
& X61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19)))))))))))
& X59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19)))))))))))
& X60 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18)))))))))))
& X58 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18)))))))))))
& X57 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))
& X55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))
& X56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16)))))))))))
& X54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16)))))))))))
& X53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15)))))))))))
& X51 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15)))))))))))
& X52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14)))))))))))
& X50 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14)))))))))))
& X49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))
& X47 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))
& X48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12)))))))))))
& X46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12)))))))))))
& X45 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11)))))))))))
& X43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11)))))))))))
& X44 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10)))))))))))
& X42 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10)))))))))))
& X41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9)))))))))))
& X39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9)))))))))))
& X40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8)))))))))))
& X38 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8)))))))))))
& X37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))
& X35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))
& X36 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))
& X34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))
& X33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5)))))))))))
& X31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5)))))))))))
& X32 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4)))))))))))
& X30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4)))))))))))
& X29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3)))))))))))
& X27 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3)))))))))))
& X28 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))
& X26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))
& X25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))
& X23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))
& X24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))))
& X22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0)))))))))))
& ( X1 = n10
| X1 = n9
| X1 = n8
| X1 = n7
| X1 = n6
| X1 = n5
| X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0 )
& ( X0 = n10
| X0 = n9
| X0 = n8
| X0 = n7
| X0 = n6
| X0 = n5
| X0 = n4
| X0 = n3
| X0 = n2
| X0 = n1
| X0 = n0 )
& sum(n10,n10) = n9
& sum(n10,n9) = n8
& sum(n10,n8) = n7
& sum(n10,n7) = n6
& sum(n10,n6) = n5
& sum(n10,n5) = n4
& sum(n10,n4) = n3
& sum(n10,n3) = n2
& sum(n10,n2) = n1
& sum(n10,n1) = n0
& sum(n10,n0) = n10
& sum(n9,n10) = n8
& sum(n9,n9) = n7
& sum(n9,n8) = n6
& sum(n9,n7) = n5
& sum(n9,n6) = n4
& sum(n9,n5) = n3
& sum(n9,n4) = n2
& sum(n9,n3) = n1
& sum(n9,n2) = n0
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n10) = n7
& sum(n8,n9) = n6
& sum(n8,n8) = n5
& sum(n8,n7) = n4
& sum(n8,n6) = n3
& sum(n8,n5) = n2
& sum(n8,n4) = n1
& sum(n8,n3) = n0
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n10) = n6
& sum(n7,n9) = n5
& sum(n7,n8) = n4
& sum(n7,n7) = n3
& sum(n7,n6) = n2
& sum(n7,n5) = n1
& sum(n7,n4) = n0
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n10) = n5
& sum(n6,n9) = n4
& sum(n6,n8) = n3
& sum(n6,n7) = n2
& sum(n6,n6) = n1
& sum(n6,n5) = n0
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n10) = n4
& sum(n5,n9) = n3
& sum(n5,n8) = n2
& sum(n5,n7) = n1
& sum(n5,n6) = n0
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n10) = n3
& sum(n4,n9) = n2
& sum(n4,n8) = n1
& sum(n4,n7) = n0
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n10) = n2
& sum(n3,n9) = n1
& sum(n3,n8) = n0
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n10) = n1
& sum(n2,n9) = n0
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n10) = n0
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n10
& succ(n10) = n0
& 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/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f2,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 )
& sK21 = sum(pred(sK60),sum(succ(sK58),sum(pred(sK61),succ(sK59))))
& sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
& sK19 = sum(pred(sK56),sum(succ(sK54),sum(pred(sK57),succ(sK55))))
& sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
& sK17 = sum(pred(sK52),sum(succ(sK50),sum(pred(sK53),succ(sK51))))
& sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
& sK15 = sum(pred(sK48),sum(succ(sK46),sum(pred(sK49),succ(sK47))))
& sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
& sK13 = sum(pred(sK44),sum(succ(sK42),sum(pred(sK45),succ(sK43))))
& sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
& sK11 = sum(pred(sK40),sum(succ(sK38),sum(pred(sK41),succ(sK39))))
& sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
& sK9 = sum(pred(sK36),sum(succ(sK34),sum(pred(sK37),succ(sK35))))
& sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
& sK7 = sum(pred(sK32),sum(succ(sK30),sum(pred(sK33),succ(sK31))))
& sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
& sK5 = sum(pred(sK28),sum(succ(sK26),sum(pred(sK29),succ(sK27))))
& sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
& sK3 = sum(pred(sK24),sum(succ(sK22),sum(pred(sK25),succ(sK23))))
& sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))
& sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))
& sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))
& sK60 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))
& sK58 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))
& sK57 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))
& sK55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))
& sK56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))
& sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))
& sK53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))
& sK51 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))
& sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))
& sK50 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))
& sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))
& sK47 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))
& sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))
& sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))
& sK45 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))
& sK43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))
& sK44 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))
& sK42 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))
& sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))
& sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))
& sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))
& sK38 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))
& sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))
& sK35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))
& sK36 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))
& sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))
& sK33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))
& sK31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))
& sK32 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))
& sK30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))
& sK29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))
& sK27 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))
& sK28 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))
& sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))
& sK25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))
& sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))
& sK24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))
& sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(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 )
& sum(n10,n10) = n9
& sum(n10,n9) = n8
& sum(n10,n8) = n7
& sum(n10,n7) = n6
& sum(n10,n6) = n5
& sum(n10,n5) = n4
& sum(n10,n4) = n3
& sum(n10,n3) = n2
& sum(n10,n2) = n1
& sum(n10,n1) = n0
& sum(n10,n0) = n10
& sum(n9,n10) = n8
& sum(n9,n9) = n7
& sum(n9,n8) = n6
& sum(n9,n7) = n5
& sum(n9,n6) = n4
& sum(n9,n5) = n3
& sum(n9,n4) = n2
& sum(n9,n3) = n1
& sum(n9,n2) = n0
& sum(n9,n1) = n10
& sum(n9,n0) = n9
& sum(n8,n10) = n7
& sum(n8,n9) = n6
& sum(n8,n8) = n5
& sum(n8,n7) = n4
& sum(n8,n6) = n3
& sum(n8,n5) = n2
& sum(n8,n4) = n1
& sum(n8,n3) = n0
& sum(n8,n2) = n10
& sum(n8,n1) = n9
& sum(n8,n0) = n8
& sum(n7,n10) = n6
& sum(n7,n9) = n5
& sum(n7,n8) = n4
& sum(n7,n7) = n3
& sum(n7,n6) = n2
& sum(n7,n5) = n1
& sum(n7,n4) = n0
& sum(n7,n3) = n10
& sum(n7,n2) = n9
& sum(n7,n1) = n8
& sum(n7,n0) = n7
& sum(n6,n10) = n5
& sum(n6,n9) = n4
& sum(n6,n8) = n3
& sum(n6,n7) = n2
& sum(n6,n6) = n1
& sum(n6,n5) = n0
& sum(n6,n4) = n10
& sum(n6,n3) = n9
& sum(n6,n2) = n8
& sum(n6,n1) = n7
& sum(n6,n0) = n6
& sum(n5,n10) = n4
& sum(n5,n9) = n3
& sum(n5,n8) = n2
& sum(n5,n7) = n1
& sum(n5,n6) = n0
& sum(n5,n5) = n10
& sum(n5,n4) = n9
& sum(n5,n3) = n8
& sum(n5,n2) = n7
& sum(n5,n1) = n6
& sum(n5,n0) = n5
& sum(n4,n10) = n3
& sum(n4,n9) = n2
& sum(n4,n8) = n1
& sum(n4,n7) = n0
& sum(n4,n6) = n10
& sum(n4,n5) = n9
& sum(n4,n4) = n8
& sum(n4,n3) = n7
& sum(n4,n2) = n6
& sum(n4,n1) = n5
& sum(n4,n0) = n4
& sum(n3,n10) = n2
& sum(n3,n9) = n1
& sum(n3,n8) = n0
& sum(n3,n7) = n10
& sum(n3,n6) = n9
& sum(n3,n5) = n8
& sum(n3,n4) = n7
& sum(n3,n3) = n6
& sum(n3,n2) = n5
& sum(n3,n1) = n4
& sum(n3,n0) = n3
& sum(n2,n10) = n1
& sum(n2,n9) = n0
& sum(n2,n8) = n10
& sum(n2,n7) = n9
& sum(n2,n6) = n8
& sum(n2,n5) = n7
& sum(n2,n4) = n6
& sum(n2,n3) = n5
& sum(n2,n2) = n4
& sum(n2,n1) = n3
& sum(n2,n0) = n2
& sum(n1,n10) = n0
& sum(n1,n9) = n10
& sum(n1,n8) = n9
& sum(n1,n7) = n8
& sum(n1,n6) = n7
& sum(n1,n5) = n6
& sum(n1,n4) = n5
& sum(n1,n3) = n4
& sum(n1,n2) = n3
& sum(n1,n1) = n2
& sum(n1,n0) = n1
& sum(n0,n10) = n10
& sum(n0,n9) = n9
& sum(n0,n8) = n8
& sum(n0,n7) = n7
& sum(n0,n6) = n6
& sum(n0,n5) = n5
& sum(n0,n4) = n4
& sum(n0,n3) = n3
& sum(n0,n2) = n2
& sum(n0,n1) = n1
& sum(n0,n0) = n0
& pred(n10) = n9
& pred(n9) = n8
& pred(n8) = n7
& pred(n7) = n6
& pred(n6) = n5
& pred(n5) = n4
& pred(n4) = n3
& pred(n3) = n2
& pred(n2) = n1
& pred(n1) = n0
& pred(n0) = n10
& succ(n10) = n0
& 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(skolemize,[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,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11),skolemize(X12,sK12),skolemize(X13,sK13),skolemize(X14,sK14),skolemize(X15,sK15),skolemize(X16,sK16),skolemize(X17,sK17),skolemize(X18,sK18),skolemize(X19,sK19),skolemize(X20,sK20),skolemize(X21,sK21),skolemize(X22,sK22),skolemize(X23,sK23),skolemize(X24,sK24),skolemize(X25,sK25),skolemize(X26,sK26),skolemize(X27,sK27),skolemize(X28,sK28),skolemize(X29,sK29),skolemize(X30,sK30),skolemize(X31,sK31),skolemize(X32,sK32),skolemize(X33,sK33),skolemize(X34,sK34),skolemize(X35,sK35),skolemize(X36,sK36),skolemize(X37,sK37),skolemize(X38,sK38),skolemize(X39,sK39),skolemize(X40,sK40),skolemize(X41,sK41),skolemize(X42,sK42),skolemize(X43,sK43),skolemize(X44,sK44),skolemize(X45,sK45),skolemize(X46,sK46),skolemize(X47,sK47),skolemize(X48,sK48),skolemize(X49,sK49),skolemize(X50,sK50),skolemize(X51,sK51),skolemize(X52,sK52),skolemize(X53,sK53),skolemize(X54,sK54),skolemize(X55,sK55),skolemize(X56,sK56),skolemize(X57,sK57),skolemize(X58,sK58),skolemize(X59,sK59),skolemize(X60,sK60),skolemize(X61,sK61)],[f1]) ).
fof(f3,plain,
n9 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f4,plain,
n8 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f6,plain,
n7 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f8,plain,
n7 != n8,
inference(cnf_transformation,[],[f2]) ).
fof(f13,plain,
n5 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f14,plain,
n5 != n9,
inference(cnf_transformation,[],[f2]) ).
fof(f18,plain,
n4 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
n4 != n8,
inference(cnf_transformation,[],[f2]) ).
fof(f36,plain,
n2 != n5,
inference(cnf_transformation,[],[f2]) ).
fof(f48,plain,
n0 != n10,
inference(cnf_transformation,[],[f2]) ).
fof(f58,plain,
( sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15 ),
inference(cnf_transformation,[],[f2]) ).
fof(f59,plain,
sK21 = sum(pred(sK60),sum(succ(sK58),sum(pred(sK61),succ(sK59)))),
inference(cnf_transformation,[],[f2]) ).
fof(f60,plain,
sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))),
inference(cnf_transformation,[],[f2]) ).
fof(f61,plain,
sK19 = sum(pred(sK56),sum(succ(sK54),sum(pred(sK57),succ(sK55)))),
inference(cnf_transformation,[],[f2]) ).
fof(f62,plain,
sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))),
inference(cnf_transformation,[],[f2]) ).
fof(f63,plain,
sK17 = sum(pred(sK52),sum(succ(sK50),sum(pred(sK53),succ(sK51)))),
inference(cnf_transformation,[],[f2]) ).
fof(f64,plain,
sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))),
inference(cnf_transformation,[],[f2]) ).
fof(f65,plain,
sK15 = sum(pred(sK48),sum(succ(sK46),sum(pred(sK49),succ(sK47)))),
inference(cnf_transformation,[],[f2]) ).
fof(f66,plain,
sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))),
inference(cnf_transformation,[],[f2]) ).
fof(f67,plain,
sK13 = sum(pred(sK44),sum(succ(sK42),sum(pred(sK45),succ(sK43)))),
inference(cnf_transformation,[],[f2]) ).
fof(f68,plain,
sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))),
inference(cnf_transformation,[],[f2]) ).
fof(f69,plain,
sK11 = sum(pred(sK40),sum(succ(sK38),sum(pred(sK41),succ(sK39)))),
inference(cnf_transformation,[],[f2]) ).
fof(f70,plain,
sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))),
inference(cnf_transformation,[],[f2]) ).
fof(f71,plain,
sK9 = sum(pred(sK36),sum(succ(sK34),sum(pred(sK37),succ(sK35)))),
inference(cnf_transformation,[],[f2]) ).
fof(f72,plain,
sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))),
inference(cnf_transformation,[],[f2]) ).
fof(f73,plain,
sK7 = sum(pred(sK32),sum(succ(sK30),sum(pred(sK33),succ(sK31)))),
inference(cnf_transformation,[],[f2]) ).
fof(f74,plain,
sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))),
inference(cnf_transformation,[],[f2]) ).
fof(f75,plain,
sK5 = sum(pred(sK28),sum(succ(sK26),sum(pred(sK29),succ(sK27)))),
inference(cnf_transformation,[],[f2]) ).
fof(f76,plain,
sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))),
inference(cnf_transformation,[],[f2]) ).
fof(f77,plain,
sK3 = sum(pred(sK24),sum(succ(sK22),sum(pred(sK25),succ(sK23)))),
inference(cnf_transformation,[],[f2]) ).
fof(f78,plain,
sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))),
inference(cnf_transformation,[],[f2]) ).
fof(f79,plain,
sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f81,plain,
sK60 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
sK58 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
sK57 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
sK55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
sK56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
sK53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
sK51 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
sK50 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
sK47 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
sK45 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
sK43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
sK44 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f98,plain,
sK42 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f99,plain,
sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f101,plain,
sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f102,plain,
sK38 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f103,plain,
sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f104,plain,
sK35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
sK36 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f107,plain,
sK33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f108,plain,
sK31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
sK32 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f110,plain,
sK30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f111,plain,
sK29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f112,plain,
sK27 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f113,plain,
sK28 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f114,plain,
sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f115,plain,
sK25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f116,plain,
sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f117,plain,
sK24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f118,plain,
sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))),
inference(cnf_transformation,[],[f2]) ).
fof(f119,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,[],[f2]) ).
fof(f120,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,[],[f2]) ).
fof(f121,plain,
n9 = sum(n10,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f122,plain,
n8 = sum(n10,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f123,plain,
n7 = sum(n10,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f124,plain,
n6 = sum(n10,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f125,plain,
n5 = sum(n10,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
n4 = sum(n10,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
n3 = sum(n10,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
n2 = sum(n10,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f129,plain,
n1 = sum(n10,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f130,plain,
n0 = sum(n10,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f131,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
n8 = sum(n9,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
n7 = sum(n9,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
n6 = sum(n9,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
n5 = sum(n9,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
n4 = sum(n9,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
n3 = sum(n9,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f138,plain,
n2 = sum(n9,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f139,plain,
n1 = sum(n9,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
n0 = sum(n9,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f142,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f143,plain,
n7 = sum(n8,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f144,plain,
n6 = sum(n8,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
n5 = sum(n8,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f146,plain,
n4 = sum(n8,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
n3 = sum(n8,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f148,plain,
n2 = sum(n8,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f149,plain,
n1 = sum(n8,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
n0 = sum(n8,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f151,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f152,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f153,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f154,plain,
n6 = sum(n7,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f155,plain,
n5 = sum(n7,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
n4 = sum(n7,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f157,plain,
n3 = sum(n7,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
n2 = sum(n7,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
n1 = sum(n7,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f160,plain,
n0 = sum(n7,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f163,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f164,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
n5 = sum(n6,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f166,plain,
n4 = sum(n6,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f167,plain,
n3 = sum(n6,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f168,plain,
n2 = sum(n6,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f169,plain,
n1 = sum(n6,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f170,plain,
n0 = sum(n6,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f171,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f172,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f173,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f174,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f175,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f176,plain,
n4 = sum(n5,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f177,plain,
n3 = sum(n5,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f178,plain,
n2 = sum(n5,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f179,plain,
n1 = sum(n5,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f180,plain,
n0 = sum(n5,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f181,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f182,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f183,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f184,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f185,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f186,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
n3 = sum(n4,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
n2 = sum(n4,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
n1 = sum(n4,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f190,plain,
n0 = sum(n4,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f191,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f192,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f193,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f194,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f195,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f196,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f197,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f198,plain,
n2 = sum(n3,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f199,plain,
n1 = sum(n3,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f200,plain,
n0 = sum(n3,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f201,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f202,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f203,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f204,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f205,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f206,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f207,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f208,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f209,plain,
n1 = sum(n2,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f210,plain,
n0 = sum(n2,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f211,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f212,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f213,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f214,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f215,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f216,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f217,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f218,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f219,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f220,plain,
n0 = sum(n1,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f221,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f222,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f223,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f224,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f225,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f226,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f227,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f228,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f229,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f230,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f231,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f2]) ).
fof(f232,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f2]) ).
fof(f233,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f2]) ).
fof(f234,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f2]) ).
fof(f235,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f2]) ).
fof(f236,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f2]) ).
fof(f237,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f2]) ).
fof(f238,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f2]) ).
fof(f239,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f2]) ).
fof(f240,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f2]) ).
fof(f241,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f2]) ).
fof(f242,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f2]) ).
fof(f243,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f2]) ).
fof(f244,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f2]) ).
fof(f245,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f2]) ).
fof(f246,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f2]) ).
fof(f247,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f2]) ).
fof(f248,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f2]) ).
fof(f249,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f2]) ).
fof(f250,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f2]) ).
fof(f251,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f2]) ).
fof(f252,plain,
n10 = pred(n0),
inference(cnf_transformation,[],[f2]) ).
fof(f253,plain,
n0 = succ(n10),
inference(cnf_transformation,[],[f2]) ).
fof(f254,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f2]) ).
fof(f255,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f2]) ).
fof(f256,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f2]) ).
fof(f257,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f2]) ).
fof(f258,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f2]) ).
fof(f259,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f2]) ).
fof(f260,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f2]) ).
fof(f261,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f2]) ).
fof(f262,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f2]) ).
fof(f263,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_49,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f263]) ).
tcf(c_50,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f262]) ).
tcf(c_51,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f261]) ).
tcf(c_52,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f260]) ).
tcf(c_53,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f259]) ).
tcf(c_54,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f258]) ).
tcf(c_55,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f257]) ).
tcf(c_56,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f256]) ).
tcf(c_57,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f255]) ).
tcf(c_58,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f254]) ).
tcf(c_59,plain,
succ(n10) = n0,
inference(cnf_transformation,[],[f253]) ).
tcf(c_60,plain,
pred(n0) = n10,
inference(cnf_transformation,[],[f252]) ).
tcf(c_61,plain,
pred(n1) = n0,
inference(cnf_transformation,[],[f251]) ).
tcf(c_62,plain,
pred(n2) = n1,
inference(cnf_transformation,[],[f250]) ).
tcf(c_63,plain,
pred(n3) = n2,
inference(cnf_transformation,[],[f249]) ).
tcf(c_64,plain,
pred(n4) = n3,
inference(cnf_transformation,[],[f248]) ).
tcf(c_65,plain,
pred(n5) = n4,
inference(cnf_transformation,[],[f247]) ).
tcf(c_66,plain,
pred(n6) = n5,
inference(cnf_transformation,[],[f246]) ).
tcf(c_67,plain,
pred(n7) = n6,
inference(cnf_transformation,[],[f245]) ).
tcf(c_68,plain,
pred(n8) = n7,
inference(cnf_transformation,[],[f244]) ).
tcf(c_69,plain,
pred(n9) = n8,
inference(cnf_transformation,[],[f243]) ).
tcf(c_70,plain,
pred(n10) = n9,
inference(cnf_transformation,[],[f242]) ).
tcf(c_71,plain,
sum(n0,n0) = n0,
inference(cnf_transformation,[],[f241]) ).
tcf(c_72,plain,
sum(n0,n1) = n1,
inference(cnf_transformation,[],[f240]) ).
tcf(c_73,plain,
sum(n0,n2) = n2,
inference(cnf_transformation,[],[f239]) ).
tcf(c_74,plain,
sum(n0,n3) = n3,
inference(cnf_transformation,[],[f238]) ).
tcf(c_75,plain,
sum(n0,n4) = n4,
inference(cnf_transformation,[],[f237]) ).
tcf(c_76,plain,
sum(n0,n5) = n5,
inference(cnf_transformation,[],[f236]) ).
tcf(c_77,plain,
sum(n0,n6) = n6,
inference(cnf_transformation,[],[f235]) ).
tcf(c_78,plain,
sum(n0,n7) = n7,
inference(cnf_transformation,[],[f234]) ).
tcf(c_79,plain,
sum(n0,n8) = n8,
inference(cnf_transformation,[],[f233]) ).
tcf(c_80,plain,
sum(n0,n9) = n9,
inference(cnf_transformation,[],[f232]) ).
tcf(c_81,plain,
sum(n0,n10) = n10,
inference(cnf_transformation,[],[f231]) ).
tcf(c_82,plain,
sum(n1,n0) = n1,
inference(cnf_transformation,[],[f230]) ).
tcf(c_83,plain,
sum(n1,n1) = n2,
inference(cnf_transformation,[],[f229]) ).
tcf(c_84,plain,
sum(n1,n2) = n3,
inference(cnf_transformation,[],[f228]) ).
tcf(c_85,plain,
sum(n1,n3) = n4,
inference(cnf_transformation,[],[f227]) ).
tcf(c_86,plain,
sum(n1,n4) = n5,
inference(cnf_transformation,[],[f226]) ).
tcf(c_87,plain,
sum(n1,n5) = n6,
inference(cnf_transformation,[],[f225]) ).
tcf(c_88,plain,
sum(n1,n6) = n7,
inference(cnf_transformation,[],[f224]) ).
tcf(c_89,plain,
sum(n1,n7) = n8,
inference(cnf_transformation,[],[f223]) ).
tcf(c_90,plain,
sum(n1,n8) = n9,
inference(cnf_transformation,[],[f222]) ).
tcf(c_91,plain,
sum(n1,n9) = n10,
inference(cnf_transformation,[],[f221]) ).
tcf(c_92,plain,
sum(n1,n10) = n0,
inference(cnf_transformation,[],[f220]) ).
tcf(c_93,plain,
sum(n2,n0) = n2,
inference(cnf_transformation,[],[f219]) ).
tcf(c_94,plain,
sum(n2,n1) = n3,
inference(cnf_transformation,[],[f218]) ).
tcf(c_95,plain,
sum(n2,n2) = n4,
inference(cnf_transformation,[],[f217]) ).
tcf(c_96,plain,
sum(n2,n3) = n5,
inference(cnf_transformation,[],[f216]) ).
tcf(c_97,plain,
sum(n2,n4) = n6,
inference(cnf_transformation,[],[f215]) ).
tcf(c_98,plain,
sum(n2,n5) = n7,
inference(cnf_transformation,[],[f214]) ).
tcf(c_99,plain,
sum(n2,n6) = n8,
inference(cnf_transformation,[],[f213]) ).
tcf(c_100,plain,
sum(n2,n7) = n9,
inference(cnf_transformation,[],[f212]) ).
tcf(c_101,plain,
sum(n2,n8) = n10,
inference(cnf_transformation,[],[f211]) ).
tcf(c_102,plain,
sum(n2,n9) = n0,
inference(cnf_transformation,[],[f210]) ).
tcf(c_103,plain,
sum(n2,n10) = n1,
inference(cnf_transformation,[],[f209]) ).
tcf(c_104,plain,
sum(n3,n0) = n3,
inference(cnf_transformation,[],[f208]) ).
tcf(c_105,plain,
sum(n3,n1) = n4,
inference(cnf_transformation,[],[f207]) ).
tcf(c_106,plain,
sum(n3,n2) = n5,
inference(cnf_transformation,[],[f206]) ).
tcf(c_107,plain,
sum(n3,n3) = n6,
inference(cnf_transformation,[],[f205]) ).
tcf(c_108,plain,
sum(n3,n4) = n7,
inference(cnf_transformation,[],[f204]) ).
tcf(c_109,plain,
sum(n3,n5) = n8,
inference(cnf_transformation,[],[f203]) ).
tcf(c_110,plain,
sum(n3,n6) = n9,
inference(cnf_transformation,[],[f202]) ).
tcf(c_111,plain,
sum(n3,n7) = n10,
inference(cnf_transformation,[],[f201]) ).
tcf(c_112,plain,
sum(n3,n8) = n0,
inference(cnf_transformation,[],[f200]) ).
tcf(c_113,plain,
sum(n3,n9) = n1,
inference(cnf_transformation,[],[f199]) ).
tcf(c_114,plain,
sum(n3,n10) = n2,
inference(cnf_transformation,[],[f198]) ).
tcf(c_115,plain,
sum(n4,n0) = n4,
inference(cnf_transformation,[],[f197]) ).
tcf(c_116,plain,
sum(n4,n1) = n5,
inference(cnf_transformation,[],[f196]) ).
tcf(c_117,plain,
sum(n4,n2) = n6,
inference(cnf_transformation,[],[f195]) ).
tcf(c_118,plain,
sum(n4,n3) = n7,
inference(cnf_transformation,[],[f194]) ).
tcf(c_119,plain,
sum(n4,n4) = n8,
inference(cnf_transformation,[],[f193]) ).
tcf(c_120,plain,
sum(n4,n5) = n9,
inference(cnf_transformation,[],[f192]) ).
tcf(c_121,plain,
sum(n4,n6) = n10,
inference(cnf_transformation,[],[f191]) ).
tcf(c_122,plain,
sum(n4,n7) = n0,
inference(cnf_transformation,[],[f190]) ).
tcf(c_123,plain,
sum(n4,n8) = n1,
inference(cnf_transformation,[],[f189]) ).
tcf(c_124,plain,
sum(n4,n9) = n2,
inference(cnf_transformation,[],[f188]) ).
tcf(c_125,plain,
sum(n4,n10) = n3,
inference(cnf_transformation,[],[f187]) ).
tcf(c_126,plain,
sum(n5,n0) = n5,
inference(cnf_transformation,[],[f186]) ).
tcf(c_127,plain,
sum(n5,n1) = n6,
inference(cnf_transformation,[],[f185]) ).
tcf(c_128,plain,
sum(n5,n2) = n7,
inference(cnf_transformation,[],[f184]) ).
tcf(c_129,plain,
sum(n5,n3) = n8,
inference(cnf_transformation,[],[f183]) ).
tcf(c_130,plain,
sum(n5,n4) = n9,
inference(cnf_transformation,[],[f182]) ).
tcf(c_131,plain,
sum(n5,n5) = n10,
inference(cnf_transformation,[],[f181]) ).
tcf(c_132,plain,
sum(n5,n6) = n0,
inference(cnf_transformation,[],[f180]) ).
tcf(c_133,plain,
sum(n5,n7) = n1,
inference(cnf_transformation,[],[f179]) ).
tcf(c_134,plain,
sum(n5,n8) = n2,
inference(cnf_transformation,[],[f178]) ).
tcf(c_135,plain,
sum(n5,n9) = n3,
inference(cnf_transformation,[],[f177]) ).
tcf(c_136,plain,
sum(n5,n10) = n4,
inference(cnf_transformation,[],[f176]) ).
tcf(c_137,plain,
sum(n6,n0) = n6,
inference(cnf_transformation,[],[f175]) ).
tcf(c_138,plain,
sum(n6,n1) = n7,
inference(cnf_transformation,[],[f174]) ).
tcf(c_139,plain,
sum(n6,n2) = n8,
inference(cnf_transformation,[],[f173]) ).
tcf(c_140,plain,
sum(n6,n3) = n9,
inference(cnf_transformation,[],[f172]) ).
tcf(c_141,plain,
sum(n6,n4) = n10,
inference(cnf_transformation,[],[f171]) ).
tcf(c_142,plain,
sum(n6,n5) = n0,
inference(cnf_transformation,[],[f170]) ).
tcf(c_143,plain,
sum(n6,n6) = n1,
inference(cnf_transformation,[],[f169]) ).
tcf(c_144,plain,
sum(n6,n7) = n2,
inference(cnf_transformation,[],[f168]) ).
tcf(c_145,plain,
sum(n6,n8) = n3,
inference(cnf_transformation,[],[f167]) ).
tcf(c_146,plain,
sum(n6,n9) = n4,
inference(cnf_transformation,[],[f166]) ).
tcf(c_147,plain,
sum(n6,n10) = n5,
inference(cnf_transformation,[],[f165]) ).
tcf(c_148,plain,
sum(n7,n0) = n7,
inference(cnf_transformation,[],[f164]) ).
tcf(c_149,plain,
sum(n7,n1) = n8,
inference(cnf_transformation,[],[f163]) ).
tcf(c_150,plain,
sum(n7,n2) = n9,
inference(cnf_transformation,[],[f162]) ).
tcf(c_151,plain,
sum(n7,n3) = n10,
inference(cnf_transformation,[],[f161]) ).
tcf(c_152,plain,
sum(n7,n4) = n0,
inference(cnf_transformation,[],[f160]) ).
tcf(c_153,plain,
sum(n7,n5) = n1,
inference(cnf_transformation,[],[f159]) ).
tcf(c_154,plain,
sum(n7,n6) = n2,
inference(cnf_transformation,[],[f158]) ).
tcf(c_155,plain,
sum(n7,n7) = n3,
inference(cnf_transformation,[],[f157]) ).
tcf(c_156,plain,
sum(n7,n8) = n4,
inference(cnf_transformation,[],[f156]) ).
tcf(c_157,plain,
sum(n7,n9) = n5,
inference(cnf_transformation,[],[f155]) ).
tcf(c_158,plain,
sum(n7,n10) = n6,
inference(cnf_transformation,[],[f154]) ).
tcf(c_159,plain,
sum(n8,n0) = n8,
inference(cnf_transformation,[],[f153]) ).
tcf(c_160,plain,
sum(n8,n1) = n9,
inference(cnf_transformation,[],[f152]) ).
tcf(c_161,plain,
sum(n8,n2) = n10,
inference(cnf_transformation,[],[f151]) ).
tcf(c_162,plain,
sum(n8,n3) = n0,
inference(cnf_transformation,[],[f150]) ).
tcf(c_163,plain,
sum(n8,n4) = n1,
inference(cnf_transformation,[],[f149]) ).
tcf(c_164,plain,
sum(n8,n5) = n2,
inference(cnf_transformation,[],[f148]) ).
tcf(c_165,plain,
sum(n8,n6) = n3,
inference(cnf_transformation,[],[f147]) ).
tcf(c_166,plain,
sum(n8,n7) = n4,
inference(cnf_transformation,[],[f146]) ).
tcf(c_167,plain,
sum(n8,n8) = n5,
inference(cnf_transformation,[],[f145]) ).
tcf(c_168,plain,
sum(n8,n9) = n6,
inference(cnf_transformation,[],[f144]) ).
tcf(c_169,plain,
sum(n8,n10) = n7,
inference(cnf_transformation,[],[f143]) ).
tcf(c_170,plain,
sum(n9,n0) = n9,
inference(cnf_transformation,[],[f142]) ).
tcf(c_171,plain,
sum(n9,n1) = n10,
inference(cnf_transformation,[],[f141]) ).
tcf(c_172,plain,
sum(n9,n2) = n0,
inference(cnf_transformation,[],[f140]) ).
tcf(c_173,plain,
sum(n9,n3) = n1,
inference(cnf_transformation,[],[f139]) ).
tcf(c_174,plain,
sum(n9,n4) = n2,
inference(cnf_transformation,[],[f138]) ).
tcf(c_175,plain,
sum(n9,n5) = n3,
inference(cnf_transformation,[],[f137]) ).
tcf(c_176,plain,
sum(n9,n6) = n4,
inference(cnf_transformation,[],[f136]) ).
tcf(c_177,plain,
sum(n9,n7) = n5,
inference(cnf_transformation,[],[f135]) ).
tcf(c_178,plain,
sum(n9,n8) = n6,
inference(cnf_transformation,[],[f134]) ).
tcf(c_179,plain,
sum(n9,n9) = n7,
inference(cnf_transformation,[],[f133]) ).
tcf(c_180,plain,
sum(n9,n10) = n8,
inference(cnf_transformation,[],[f132]) ).
tcf(c_181,plain,
sum(n10,n0) = n10,
inference(cnf_transformation,[],[f131]) ).
tcf(c_182,plain,
sum(n10,n1) = n0,
inference(cnf_transformation,[],[f130]) ).
tcf(c_183,plain,
sum(n10,n2) = n1,
inference(cnf_transformation,[],[f129]) ).
tcf(c_184,plain,
sum(n10,n3) = n2,
inference(cnf_transformation,[],[f128]) ).
tcf(c_185,plain,
sum(n10,n4) = n3,
inference(cnf_transformation,[],[f127]) ).
tcf(c_186,plain,
sum(n10,n5) = n4,
inference(cnf_transformation,[],[f126]) ).
tcf(c_187,plain,
sum(n10,n6) = n5,
inference(cnf_transformation,[],[f125]) ).
tcf(c_188,plain,
sum(n10,n7) = n6,
inference(cnf_transformation,[],[f124]) ).
tcf(c_189,plain,
sum(n10,n8) = n7,
inference(cnf_transformation,[],[f123]) ).
tcf(c_190,plain,
sum(n10,n9) = n8,
inference(cnf_transformation,[],[f122]) ).
tcf(c_191,plain,
sum(n10,n10) = n9,
inference(cnf_transformation,[],[f121]) ).
tcf(c_192,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,[],[f120]) ).
tcf(c_193,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,[],[f119]) ).
tcf(c_194,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))) = sK22,
inference(cnf_transformation,[],[f118]) ).
tcf(c_195,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))) = sK24,
inference(cnf_transformation,[],[f117]) ).
tcf(c_196,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))) = sK23,
inference(cnf_transformation,[],[f116]) ).
tcf(c_197,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))) = sK25,
inference(cnf_transformation,[],[f115]) ).
tcf(c_198,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))) = sK26,
inference(cnf_transformation,[],[f114]) ).
tcf(c_199,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))) = sK28,
inference(cnf_transformation,[],[f113]) ).
tcf(c_200,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))) = sK27,
inference(cnf_transformation,[],[f112]) ).
tcf(c_201,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))) = sK29,
inference(cnf_transformation,[],[f111]) ).
tcf(c_202,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))) = sK30,
inference(cnf_transformation,[],[f110]) ).
tcf(c_203,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))) = sK32,
inference(cnf_transformation,[],[f109]) ).
tcf(c_204,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))) = sK31,
inference(cnf_transformation,[],[f108]) ).
tcf(c_205,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))) = sK33,
inference(cnf_transformation,[],[f107]) ).
tcf(c_206,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))) = sK34,
inference(cnf_transformation,[],[f106]) ).
tcf(c_207,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))) = sK36,
inference(cnf_transformation,[],[f105]) ).
tcf(c_208,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))) = sK35,
inference(cnf_transformation,[],[f104]) ).
tcf(c_209,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))) = sK37,
inference(cnf_transformation,[],[f103]) ).
tcf(c_210,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))) = sK38,
inference(cnf_transformation,[],[f102]) ).
tcf(c_211,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))) = sK40,
inference(cnf_transformation,[],[f101]) ).
tcf(c_212,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))) = sK39,
inference(cnf_transformation,[],[f100]) ).
tcf(c_213,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))) = sK41,
inference(cnf_transformation,[],[f99]) ).
tcf(c_214,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))) = sK42,
inference(cnf_transformation,[],[f98]) ).
tcf(c_215,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))) = sK44,
inference(cnf_transformation,[],[f97]) ).
tcf(c_216,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))) = sK43,
inference(cnf_transformation,[],[f96]) ).
tcf(c_217,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))) = sK45,
inference(cnf_transformation,[],[f95]) ).
tcf(c_218,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))) = sK46,
inference(cnf_transformation,[],[f94]) ).
tcf(c_219,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))) = sK48,
inference(cnf_transformation,[],[f93]) ).
tcf(c_220,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))) = sK47,
inference(cnf_transformation,[],[f92]) ).
tcf(c_221,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))) = sK49,
inference(cnf_transformation,[],[f91]) ).
tcf(c_222,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))) = sK50,
inference(cnf_transformation,[],[f90]) ).
tcf(c_223,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))) = sK52,
inference(cnf_transformation,[],[f89]) ).
tcf(c_224,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))) = sK51,
inference(cnf_transformation,[],[f88]) ).
tcf(c_225,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))) = sK53,
inference(cnf_transformation,[],[f87]) ).
tcf(c_226,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))) = sK54,
inference(cnf_transformation,[],[f86]) ).
tcf(c_227,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))) = sK56,
inference(cnf_transformation,[],[f85]) ).
tcf(c_228,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))) = sK55,
inference(cnf_transformation,[],[f84]) ).
tcf(c_229,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))) = sK57,
inference(cnf_transformation,[],[f83]) ).
tcf(c_230,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))) = sK58,
inference(cnf_transformation,[],[f82]) ).
tcf(c_231,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))) = sK60,
inference(cnf_transformation,[],[f81]) ).
tcf(c_232,plain,
pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))) = sK59,
inference(cnf_transformation,[],[f80]) ).
tcf(c_233,plain,
succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))) = sK61,
inference(cnf_transformation,[],[f79]) ).
tcf(c_234,plain,
sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) = sK2,
inference(cnf_transformation,[],[f78]) ).
tcf(c_235,plain,
sum(pred(sK24),sum(succ(sK22),sum(pred(sK25),succ(sK23)))) = sK3,
inference(cnf_transformation,[],[f77]) ).
tcf(c_236,plain,
sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))) = sK4,
inference(cnf_transformation,[],[f76]) ).
tcf(c_237,plain,
sum(pred(sK28),sum(succ(sK26),sum(pred(sK29),succ(sK27)))) = sK5,
inference(cnf_transformation,[],[f75]) ).
tcf(c_238,plain,
sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))) = sK6,
inference(cnf_transformation,[],[f74]) ).
tcf(c_239,plain,
sum(pred(sK32),sum(succ(sK30),sum(pred(sK33),succ(sK31)))) = sK7,
inference(cnf_transformation,[],[f73]) ).
tcf(c_240,plain,
sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))) = sK8,
inference(cnf_transformation,[],[f72]) ).
tcf(c_241,plain,
sum(pred(sK36),sum(succ(sK34),sum(pred(sK37),succ(sK35)))) = sK9,
inference(cnf_transformation,[],[f71]) ).
tcf(c_242,plain,
sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))) = sK10,
inference(cnf_transformation,[],[f70]) ).
tcf(c_243,plain,
sum(pred(sK40),sum(succ(sK38),sum(pred(sK41),succ(sK39)))) = sK11,
inference(cnf_transformation,[],[f69]) ).
tcf(c_244,plain,
sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))) = sK12,
inference(cnf_transformation,[],[f68]) ).
tcf(c_245,plain,
sum(pred(sK44),sum(succ(sK42),sum(pred(sK45),succ(sK43)))) = sK13,
inference(cnf_transformation,[],[f67]) ).
tcf(c_246,plain,
sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))) = sK14,
inference(cnf_transformation,[],[f66]) ).
tcf(c_247,plain,
sum(pred(sK48),sum(succ(sK46),sum(pred(sK49),succ(sK47)))) = sK15,
inference(cnf_transformation,[],[f65]) ).
tcf(c_248,plain,
sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))) = sK16,
inference(cnf_transformation,[],[f64]) ).
tcf(c_249,plain,
sum(pred(sK52),sum(succ(sK50),sum(pred(sK53),succ(sK51)))) = sK17,
inference(cnf_transformation,[],[f63]) ).
tcf(c_250,plain,
sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))) = sK18,
inference(cnf_transformation,[],[f62]) ).
tcf(c_251,plain,
sum(pred(sK56),sum(succ(sK54),sum(pred(sK57),succ(sK55)))) = sK19,
inference(cnf_transformation,[],[f61]) ).
tcf(c_252,plain,
sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))) = sK20,
inference(cnf_transformation,[],[f60]) ).
tcf(c_253,plain,
sum(pred(sK60),sum(succ(sK58),sum(pred(sK61),succ(sK59)))) = sK21,
inference(cnf_transformation,[],[f59]) ).
tcf(c_254,plain,
( ( sK20 != sK21 )
| ( sK18 != sK19 )
| ( sK16 != sK17 )
| ( sK14 != sK15 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_264,plain,
n0 != n10,
inference(cnf_transformation,[],[f48]) ).
tcf(c_276,plain,
n2 != n5,
inference(cnf_transformation,[],[f36]) ).
tcf(c_292,plain,
n4 != n8,
inference(cnf_transformation,[],[f20]) ).
tcf(c_294,plain,
n4 != n10,
inference(cnf_transformation,[],[f18]) ).
tcf(c_298,plain,
n5 != n9,
inference(cnf_transformation,[],[f14]) ).
tcf(c_299,plain,
n5 != n10,
inference(cnf_transformation,[],[f13]) ).
tcf(c_304,plain,
n7 != n8,
inference(cnf_transformation,[],[f8]) ).
tcf(c_306,plain,
n7 != n10,
inference(cnf_transformation,[],[f6]) ).
tcf(c_308,plain,
n8 != n10,
inference(cnf_transformation,[],[f4]) ).
tcf(c_309,plain,
n9 != n10,
inference(cnf_transformation,[],[f3]) ).
tcf(c_883,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_309,c_308,c_306,c_304,c_299,c_298,c_294,c_292,c_276,c_264,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_125,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,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM378+1.010.010 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.44 % Computer : n005.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.45 % CPULimit : 300
% 0.16/0.45 % WCLimit : 300
% 0.16/0.45 % DateTime : Thu Sep 24 03:47:18 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.51 Running first-order theorem proving
% 0.16/0.51 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.52
% 0.22/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.52
% 0.22/0.52 % Detected problem language: tptp
% 0.22/0.54 % Proving...
% 5.30/1.95 % SZS status Started for theBenchmark.p
% 5.30/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 5.30/1.95
% 5.30/1.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.30/1.95
% 5.30/1.95 % ------ iProver source info
% 5.30/1.95
% 5.30/1.95 % git: date: 2026-07-19 20:42:38 +0200
% 5.30/1.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.30/1.95 % git: non_committed_changes: false
% 5.30/1.95
% 5.30/1.95 % ------ Parsing...
% 5.30/1.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.30/1.95
% 5.30/1.95 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 5.30/1.95
% 5.30/1.95 % ------ Preprocessing...%
% 5.30/1.95
% 5.30/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 5.30/1.95
% 5.30/1.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.30/1.95
% 5.30/1.95
%------------------------------------------------------------------------------