TPTP Problem File: NUM378+1.020.020.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : NUM378+1.020.020 : TPTP v8.2.0. Released v3.2.0.
% Domain : Number Theory
% Problem : Find assignment in 0-20 to satisfy 20 inequalities, very very hard
% Version : [Cim05] axioms.
% English : Find an assignment to two variables which are in range 0..N,
% so that 20 pairs complex terms are not equal (and they are).
% Refs : [Cim05] Cimatti (2006), Email to G. Sutcliffe
% Source : [Cim05]
% Names :
% Status : Unsatisfiable
% Rating : 0.00 v8.2.0, 0.33 v7.1.0, 0.00 v6.3.0, 0.33 v5.5.0, 0.00 v5.3.0, 0.33 v5.2.0, 0.67 v4.1.0, 1.00 v3.2.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 859 ( 859 equ)
% Maximal formula atoms : 859 ( 859 avg)
% Number of connectives : 1072 ( 214 ~; 43 |; 815 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 939 ( 939 avg)
% Maximal term depth : 22 ( 5 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-2 aty)
% Number of variables : 122 ( 0 !; 122 ?)
% SPC : FOF_UNS_RFO_PEQ
% Comments :
%------------------------------------------------------------------------------
fof(try_satisfy_this,axiom,
? [X0,Y0,X1,Y1,X2,Y2,X3,Y3,X4,Y4,X5,Y5,X6,Y6,X7,Y7,X8,Y8,X9,Y9,X10,Y10,X11,Y11,X12,Y12,X13,Y13,X14,Y14,X15,Y15,X16,Y16,X17,Y17,X18,Y18,X19,Y19,X20,Y20,NPX0,NPY0,NSX0,NSY0,NPX1,NPY1,NSX1,NSY1,NPX2,NPY2,NSX2,NSY2,NPX3,NPY3,NSX3,NSY3,NPX4,NPY4,NSX4,NSY4,NPX5,NPY5,NSX5,NSY5,NPX6,NPY6,NSX6,NSY6,NPX7,NPY7,NSX7,NSY7,NPX8,NPY8,NSX8,NSY8,NPX9,NPY9,NSX9,NSY9,NPX10,NPY10,NSX10,NSY10,NPX11,NPY11,NSX11,NSY11,NPX12,NPY12,NSX12,NSY12,NPX13,NPY13,NSX13,NSY13,NPX14,NPY14,NSX14,NSY14,NPX15,NPY15,NSX15,NSY15,NPX16,NPY16,NSX16,NSY16,NPX17,NPY17,NSX17,NSY17,NPX18,NPY18,NSX18,NSY18,NPX19,NPY19,NSX19,NSY19] :
( succ(n0) = n1
& succ(n1) = n2
& succ(n2) = n3
& succ(n3) = n4
& succ(n4) = n5
& succ(n5) = n6
& succ(n6) = n7
& succ(n7) = n8
& succ(n8) = n9
& succ(n9) = n10
& succ(n10) = n11
& succ(n11) = n12
& succ(n12) = n13
& succ(n13) = n14
& succ(n14) = n15
& succ(n15) = n16
& succ(n16) = n17
& succ(n17) = n18
& succ(n18) = n19
& succ(n19) = n20
& succ(n20) = n0
& pred(n0) = n20
& pred(n1) = n0
& pred(n2) = n1
& pred(n3) = n2
& pred(n4) = n3
& pred(n5) = n4
& pred(n6) = n5
& pred(n7) = n6
& pred(n8) = n7
& pred(n9) = n8
& pred(n10) = n9
& pred(n11) = n10
& pred(n12) = n11
& pred(n13) = n12
& pred(n14) = n13
& pred(n15) = n14
& pred(n16) = n15
& pred(n17) = n16
& pred(n18) = n17
& pred(n19) = n18
& pred(n20) = n19
& sum(n0,n0) = n0
& sum(n0,n1) = n1
& sum(n0,n2) = n2
& sum(n0,n3) = n3
& sum(n0,n4) = n4
& sum(n0,n5) = n5
& sum(n0,n6) = n6
& sum(n0,n7) = n7
& sum(n0,n8) = n8
& sum(n0,n9) = n9
& sum(n0,n10) = n10
& sum(n0,n11) = n11
& sum(n0,n12) = n12
& sum(n0,n13) = n13
& sum(n0,n14) = n14
& sum(n0,n15) = n15
& sum(n0,n16) = n16
& sum(n0,n17) = n17
& sum(n0,n18) = n18
& sum(n0,n19) = n19
& sum(n0,n20) = n20
& sum(n1,n0) = n1
& sum(n1,n1) = n2
& sum(n1,n2) = n3
& sum(n1,n3) = n4
& sum(n1,n4) = n5
& sum(n1,n5) = n6
& sum(n1,n6) = n7
& sum(n1,n7) = n8
& sum(n1,n8) = n9
& sum(n1,n9) = n10
& sum(n1,n10) = n11
& sum(n1,n11) = n12
& sum(n1,n12) = n13
& sum(n1,n13) = n14
& sum(n1,n14) = n15
& sum(n1,n15) = n16
& sum(n1,n16) = n17
& sum(n1,n17) = n18
& sum(n1,n18) = n19
& sum(n1,n19) = n20
& sum(n1,n20) = n0
& sum(n2,n0) = n2
& sum(n2,n1) = n3
& sum(n2,n2) = n4
& sum(n2,n3) = n5
& sum(n2,n4) = n6
& sum(n2,n5) = n7
& sum(n2,n6) = n8
& sum(n2,n7) = n9
& sum(n2,n8) = n10
& sum(n2,n9) = n11
& sum(n2,n10) = n12
& sum(n2,n11) = n13
& sum(n2,n12) = n14
& sum(n2,n13) = n15
& sum(n2,n14) = n16
& sum(n2,n15) = n17
& sum(n2,n16) = n18
& sum(n2,n17) = n19
& sum(n2,n18) = n20
& sum(n2,n19) = n0
& sum(n2,n20) = n1
& sum(n3,n0) = n3
& sum(n3,n1) = n4
& sum(n3,n2) = n5
& sum(n3,n3) = n6
& sum(n3,n4) = n7
& sum(n3,n5) = n8
& sum(n3,n6) = n9
& sum(n3,n7) = n10
& sum(n3,n8) = n11
& sum(n3,n9) = n12
& sum(n3,n10) = n13
& sum(n3,n11) = n14
& sum(n3,n12) = n15
& sum(n3,n13) = n16
& sum(n3,n14) = n17
& sum(n3,n15) = n18
& sum(n3,n16) = n19
& sum(n3,n17) = n20
& sum(n3,n18) = n0
& sum(n3,n19) = n1
& sum(n3,n20) = n2
& sum(n4,n0) = n4
& sum(n4,n1) = n5
& sum(n4,n2) = n6
& sum(n4,n3) = n7
& sum(n4,n4) = n8
& sum(n4,n5) = n9
& sum(n4,n6) = n10
& sum(n4,n7) = n11
& sum(n4,n8) = n12
& sum(n4,n9) = n13
& sum(n4,n10) = n14
& sum(n4,n11) = n15
& sum(n4,n12) = n16
& sum(n4,n13) = n17
& sum(n4,n14) = n18
& sum(n4,n15) = n19
& sum(n4,n16) = n20
& sum(n4,n17) = n0
& sum(n4,n18) = n1
& sum(n4,n19) = n2
& sum(n4,n20) = n3
& sum(n5,n0) = n5
& sum(n5,n1) = n6
& sum(n5,n2) = n7
& sum(n5,n3) = n8
& sum(n5,n4) = n9
& sum(n5,n5) = n10
& sum(n5,n6) = n11
& sum(n5,n7) = n12
& sum(n5,n8) = n13
& sum(n5,n9) = n14
& sum(n5,n10) = n15
& sum(n5,n11) = n16
& sum(n5,n12) = n17
& sum(n5,n13) = n18
& sum(n5,n14) = n19
& sum(n5,n15) = n20
& sum(n5,n16) = n0
& sum(n5,n17) = n1
& sum(n5,n18) = n2
& sum(n5,n19) = n3
& sum(n5,n20) = n4
& sum(n6,n0) = n6
& sum(n6,n1) = n7
& sum(n6,n2) = n8
& sum(n6,n3) = n9
& sum(n6,n4) = n10
& sum(n6,n5) = n11
& sum(n6,n6) = n12
& sum(n6,n7) = n13
& sum(n6,n8) = n14
& sum(n6,n9) = n15
& sum(n6,n10) = n16
& sum(n6,n11) = n17
& sum(n6,n12) = n18
& sum(n6,n13) = n19
& sum(n6,n14) = n20
& sum(n6,n15) = n0
& sum(n6,n16) = n1
& sum(n6,n17) = n2
& sum(n6,n18) = n3
& sum(n6,n19) = n4
& sum(n6,n20) = n5
& sum(n7,n0) = n7
& sum(n7,n1) = n8
& sum(n7,n2) = n9
& sum(n7,n3) = n10
& sum(n7,n4) = n11
& sum(n7,n5) = n12
& sum(n7,n6) = n13
& sum(n7,n7) = n14
& sum(n7,n8) = n15
& sum(n7,n9) = n16
& sum(n7,n10) = n17
& sum(n7,n11) = n18
& sum(n7,n12) = n19
& sum(n7,n13) = n20
& sum(n7,n14) = n0
& sum(n7,n15) = n1
& sum(n7,n16) = n2
& sum(n7,n17) = n3
& sum(n7,n18) = n4
& sum(n7,n19) = n5
& sum(n7,n20) = n6
& sum(n8,n0) = n8
& sum(n8,n1) = n9
& sum(n8,n2) = n10
& sum(n8,n3) = n11
& sum(n8,n4) = n12
& sum(n8,n5) = n13
& sum(n8,n6) = n14
& sum(n8,n7) = n15
& sum(n8,n8) = n16
& sum(n8,n9) = n17
& sum(n8,n10) = n18
& sum(n8,n11) = n19
& sum(n8,n12) = n20
& sum(n8,n13) = n0
& sum(n8,n14) = n1
& sum(n8,n15) = n2
& sum(n8,n16) = n3
& sum(n8,n17) = n4
& sum(n8,n18) = n5
& sum(n8,n19) = n6
& sum(n8,n20) = n7
& sum(n9,n0) = n9
& sum(n9,n1) = n10
& sum(n9,n2) = n11
& sum(n9,n3) = n12
& sum(n9,n4) = n13
& sum(n9,n5) = n14
& sum(n9,n6) = n15
& sum(n9,n7) = n16
& sum(n9,n8) = n17
& sum(n9,n9) = n18
& sum(n9,n10) = n19
& sum(n9,n11) = n20
& sum(n9,n12) = n0
& sum(n9,n13) = n1
& sum(n9,n14) = n2
& sum(n9,n15) = n3
& sum(n9,n16) = n4
& sum(n9,n17) = n5
& sum(n9,n18) = n6
& sum(n9,n19) = n7
& sum(n9,n20) = n8
& sum(n10,n0) = n10
& sum(n10,n1) = n11
& sum(n10,n2) = n12
& sum(n10,n3) = n13
& sum(n10,n4) = n14
& sum(n10,n5) = n15
& sum(n10,n6) = n16
& sum(n10,n7) = n17
& sum(n10,n8) = n18
& sum(n10,n9) = n19
& sum(n10,n10) = n20
& sum(n10,n11) = n0
& sum(n10,n12) = n1
& sum(n10,n13) = n2
& sum(n10,n14) = n3
& sum(n10,n15) = n4
& sum(n10,n16) = n5
& sum(n10,n17) = n6
& sum(n10,n18) = n7
& sum(n10,n19) = n8
& sum(n10,n20) = n9
& sum(n11,n0) = n11
& sum(n11,n1) = n12
& sum(n11,n2) = n13
& sum(n11,n3) = n14
& sum(n11,n4) = n15
& sum(n11,n5) = n16
& sum(n11,n6) = n17
& sum(n11,n7) = n18
& sum(n11,n8) = n19
& sum(n11,n9) = n20
& sum(n11,n10) = n0
& sum(n11,n11) = n1
& sum(n11,n12) = n2
& sum(n11,n13) = n3
& sum(n11,n14) = n4
& sum(n11,n15) = n5
& sum(n11,n16) = n6
& sum(n11,n17) = n7
& sum(n11,n18) = n8
& sum(n11,n19) = n9
& sum(n11,n20) = n10
& sum(n12,n0) = n12
& sum(n12,n1) = n13
& sum(n12,n2) = n14
& sum(n12,n3) = n15
& sum(n12,n4) = n16
& sum(n12,n5) = n17
& sum(n12,n6) = n18
& sum(n12,n7) = n19
& sum(n12,n8) = n20
& sum(n12,n9) = n0
& sum(n12,n10) = n1
& sum(n12,n11) = n2
& sum(n12,n12) = n3
& sum(n12,n13) = n4
& sum(n12,n14) = n5
& sum(n12,n15) = n6
& sum(n12,n16) = n7
& sum(n12,n17) = n8
& sum(n12,n18) = n9
& sum(n12,n19) = n10
& sum(n12,n20) = n11
& sum(n13,n0) = n13
& sum(n13,n1) = n14
& sum(n13,n2) = n15
& sum(n13,n3) = n16
& sum(n13,n4) = n17
& sum(n13,n5) = n18
& sum(n13,n6) = n19
& sum(n13,n7) = n20
& sum(n13,n8) = n0
& sum(n13,n9) = n1
& sum(n13,n10) = n2
& sum(n13,n11) = n3
& sum(n13,n12) = n4
& sum(n13,n13) = n5
& sum(n13,n14) = n6
& sum(n13,n15) = n7
& sum(n13,n16) = n8
& sum(n13,n17) = n9
& sum(n13,n18) = n10
& sum(n13,n19) = n11
& sum(n13,n20) = n12
& sum(n14,n0) = n14
& sum(n14,n1) = n15
& sum(n14,n2) = n16
& sum(n14,n3) = n17
& sum(n14,n4) = n18
& sum(n14,n5) = n19
& sum(n14,n6) = n20
& sum(n14,n7) = n0
& sum(n14,n8) = n1
& sum(n14,n9) = n2
& sum(n14,n10) = n3
& sum(n14,n11) = n4
& sum(n14,n12) = n5
& sum(n14,n13) = n6
& sum(n14,n14) = n7
& sum(n14,n15) = n8
& sum(n14,n16) = n9
& sum(n14,n17) = n10
& sum(n14,n18) = n11
& sum(n14,n19) = n12
& sum(n14,n20) = n13
& sum(n15,n0) = n15
& sum(n15,n1) = n16
& sum(n15,n2) = n17
& sum(n15,n3) = n18
& sum(n15,n4) = n19
& sum(n15,n5) = n20
& sum(n15,n6) = n0
& sum(n15,n7) = n1
& sum(n15,n8) = n2
& sum(n15,n9) = n3
& sum(n15,n10) = n4
& sum(n15,n11) = n5
& sum(n15,n12) = n6
& sum(n15,n13) = n7
& sum(n15,n14) = n8
& sum(n15,n15) = n9
& sum(n15,n16) = n10
& sum(n15,n17) = n11
& sum(n15,n18) = n12
& sum(n15,n19) = n13
& sum(n15,n20) = n14
& sum(n16,n0) = n16
& sum(n16,n1) = n17
& sum(n16,n2) = n18
& sum(n16,n3) = n19
& sum(n16,n4) = n20
& sum(n16,n5) = n0
& sum(n16,n6) = n1
& sum(n16,n7) = n2
& sum(n16,n8) = n3
& sum(n16,n9) = n4
& sum(n16,n10) = n5
& sum(n16,n11) = n6
& sum(n16,n12) = n7
& sum(n16,n13) = n8
& sum(n16,n14) = n9
& sum(n16,n15) = n10
& sum(n16,n16) = n11
& sum(n16,n17) = n12
& sum(n16,n18) = n13
& sum(n16,n19) = n14
& sum(n16,n20) = n15
& sum(n17,n0) = n17
& sum(n17,n1) = n18
& sum(n17,n2) = n19
& sum(n17,n3) = n20
& sum(n17,n4) = n0
& sum(n17,n5) = n1
& sum(n17,n6) = n2
& sum(n17,n7) = n3
& sum(n17,n8) = n4
& sum(n17,n9) = n5
& sum(n17,n10) = n6
& sum(n17,n11) = n7
& sum(n17,n12) = n8
& sum(n17,n13) = n9
& sum(n17,n14) = n10
& sum(n17,n15) = n11
& sum(n17,n16) = n12
& sum(n17,n17) = n13
& sum(n17,n18) = n14
& sum(n17,n19) = n15
& sum(n17,n20) = n16
& sum(n18,n0) = n18
& sum(n18,n1) = n19
& sum(n18,n2) = n20
& sum(n18,n3) = n0
& sum(n18,n4) = n1
& sum(n18,n5) = n2
& sum(n18,n6) = n3
& sum(n18,n7) = n4
& sum(n18,n8) = n5
& sum(n18,n9) = n6
& sum(n18,n10) = n7
& sum(n18,n11) = n8
& sum(n18,n12) = n9
& sum(n18,n13) = n10
& sum(n18,n14) = n11
& sum(n18,n15) = n12
& sum(n18,n16) = n13
& sum(n18,n17) = n14
& sum(n18,n18) = n15
& sum(n18,n19) = n16
& sum(n18,n20) = n17
& sum(n19,n0) = n19
& sum(n19,n1) = n20
& sum(n19,n2) = n0
& sum(n19,n3) = n1
& sum(n19,n4) = n2
& sum(n19,n5) = n3
& sum(n19,n6) = n4
& sum(n19,n7) = n5
& sum(n19,n8) = n6
& sum(n19,n9) = n7
& sum(n19,n10) = n8
& sum(n19,n11) = n9
& sum(n19,n12) = n10
& sum(n19,n13) = n11
& sum(n19,n14) = n12
& sum(n19,n15) = n13
& sum(n19,n16) = n14
& sum(n19,n17) = n15
& sum(n19,n18) = n16
& sum(n19,n19) = n17
& sum(n19,n20) = n18
& sum(n20,n0) = n20
& sum(n20,n1) = n0
& sum(n20,n2) = n1
& sum(n20,n3) = n2
& sum(n20,n4) = n3
& sum(n20,n5) = n4
& sum(n20,n6) = n5
& sum(n20,n7) = n6
& sum(n20,n8) = n7
& sum(n20,n9) = n8
& sum(n20,n10) = n9
& sum(n20,n11) = n10
& sum(n20,n12) = n11
& sum(n20,n13) = n12
& sum(n20,n14) = n13
& sum(n20,n15) = n14
& sum(n20,n16) = n15
& sum(n20,n17) = n16
& sum(n20,n18) = n17
& sum(n20,n19) = n18
& sum(n20,n20) = n19
& ( X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4
| X0 = n5
| X0 = n6
| X0 = n7
| X0 = n8
| X0 = n9
| X0 = n10
| X0 = n11
| X0 = n12
| X0 = n13
| X0 = n14
| X0 = n15
| X0 = n16
| X0 = n17
| X0 = n18
| X0 = n19
| X0 = n20 )
& ( Y0 = n0
| Y0 = n1
| Y0 = n2
| Y0 = n3
| Y0 = n4
| Y0 = n5
| Y0 = n6
| Y0 = n7
| Y0 = n8
| Y0 = n9
| Y0 = n10
| Y0 = n11
| Y0 = n12
| Y0 = n13
| Y0 = n14
| Y0 = n15
| Y0 = n16
| Y0 = n17
| Y0 = n18
| Y0 = n19
| Y0 = n20 )
& NPX0 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0)))))))))))))))))))))
& NSX0 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))))))))))))))
& NPY0 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y0)))))))))))))))))))))
& NSY0 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y0)))))))))))))))))))))
& NPX1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))))))))))))
& NSX1 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))))))))))))
& NPY1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y1)))))))))))))))))))))
& NSY1 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y1)))))))))))))))))))))
& NPX2 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))))))))))))
& NSX2 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))))))))))))
& NPY2 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y2)))))))))))))))))))))
& NSY2 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y2)))))))))))))))))))))
& NPX3 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3)))))))))))))))))))))
& NSX3 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3)))))))))))))))))))))
& NPY3 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y3)))))))))))))))))))))
& NSY3 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y3)))))))))))))))))))))
& NPX4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4)))))))))))))))))))))
& NSX4 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4)))))))))))))))))))))
& NPY4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y4)))))))))))))))))))))
& NSY4 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y4)))))))))))))))))))))
& NPX5 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5)))))))))))))))))))))
& NSX5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5)))))))))))))))))))))
& NPY5 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y5)))))))))))))))))))))
& NSY5 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y5)))))))))))))))))))))
& NPX6 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))))))))))))
& NSX6 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))))))))))))
& NPY6 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y6)))))))))))))))))))))
& NSY6 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y6)))))))))))))))))))))
& NPX7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))))))))))))
& NSX7 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))))))))))))
& NPY7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y7)))))))))))))))))))))
& NSY7 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y7)))))))))))))))))))))
& NPX8 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8)))))))))))))))))))))
& NSX8 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8)))))))))))))))))))))
& NPY8 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y8)))))))))))))))))))))
& NSY8 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y8)))))))))))))))))))))
& NPX9 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9)))))))))))))))))))))
& NSX9 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9)))))))))))))))))))))
& NPY9 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y9)))))))))))))))))))))
& NSY9 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y9)))))))))))))))))))))
& NPX10 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10)))))))))))))))))))))
& NSX10 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10)))))))))))))))))))))
& NPY10 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y10)))))))))))))))))))))
& NSY10 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y10)))))))))))))))))))))
& NPX11 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11)))))))))))))))))))))
& NSX11 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11)))))))))))))))))))))
& NPY11 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y11)))))))))))))))))))))
& NSY11 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y11)))))))))))))))))))))
& NPX12 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12)))))))))))))))))))))
& NSX12 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12)))))))))))))))))))))
& NPY12 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y12)))))))))))))))))))))
& NSY12 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y12)))))))))))))))))))))
& NPX13 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))))))))))))
& NSX13 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))))))))))))
& NPY13 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y13)))))))))))))))))))))
& NSY13 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y13)))))))))))))))))))))
& NPX14 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14)))))))))))))))))))))
& NSX14 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14)))))))))))))))))))))
& NPY14 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y14)))))))))))))))))))))
& NSY14 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y14)))))))))))))))))))))
& NPX15 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15)))))))))))))))))))))
& NSX15 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15)))))))))))))))))))))
& NPY15 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y15)))))))))))))))))))))
& NSY15 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y15)))))))))))))))))))))
& NPX16 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16)))))))))))))))))))))
& NSX16 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16)))))))))))))))))))))
& NPY16 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y16)))))))))))))))))))))
& NSY16 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y16)))))))))))))))))))))
& NPX17 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))))))))))))
& NSX17 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))))))))))))
& NPY17 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y17)))))))))))))))))))))
& NSY17 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y17)))))))))))))))))))))
& NPX18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18)))))))))))))))))))))
& NSX18 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18)))))))))))))))))))))
& NPY18 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y18)))))))))))))))))))))
& NSY18 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y18)))))))))))))))))))))
& NPX19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19)))))))))))))))))))))
& NSX19 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19)))))))))))))))))))))
& NPY19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(Y19)))))))))))))))))))))
& NSY19 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(Y19)))))))))))))))))))))
& X1 = sum(sum(pred(X0),succ(Y0)),sum(pred(Y0),succ(X0)))
& Y1 = sum(pred(NSX0),sum(succ(NPX0),sum(pred(NSY0),succ(NPY0))))
& X2 = sum(sum(pred(X1),succ(Y1)),sum(pred(Y1),succ(X1)))
& Y2 = sum(pred(NSX1),sum(succ(NPX1),sum(pred(NSY1),succ(NPY1))))
& X3 = sum(sum(pred(X2),succ(Y2)),sum(pred(Y2),succ(X2)))
& Y3 = sum(pred(NSX2),sum(succ(NPX2),sum(pred(NSY2),succ(NPY2))))
& X4 = sum(sum(pred(X3),succ(Y3)),sum(pred(Y3),succ(X3)))
& Y4 = sum(pred(NSX3),sum(succ(NPX3),sum(pred(NSY3),succ(NPY3))))
& X5 = sum(sum(pred(X4),succ(Y4)),sum(pred(Y4),succ(X4)))
& Y5 = sum(pred(NSX4),sum(succ(NPX4),sum(pred(NSY4),succ(NPY4))))
& X6 = sum(sum(pred(X5),succ(Y5)),sum(pred(Y5),succ(X5)))
& Y6 = sum(pred(NSX5),sum(succ(NPX5),sum(pred(NSY5),succ(NPY5))))
& X7 = sum(sum(pred(X6),succ(Y6)),sum(pred(Y6),succ(X6)))
& Y7 = sum(pred(NSX6),sum(succ(NPX6),sum(pred(NSY6),succ(NPY6))))
& X8 = sum(sum(pred(X7),succ(Y7)),sum(pred(Y7),succ(X7)))
& Y8 = sum(pred(NSX7),sum(succ(NPX7),sum(pred(NSY7),succ(NPY7))))
& X9 = sum(sum(pred(X8),succ(Y8)),sum(pred(Y8),succ(X8)))
& Y9 = sum(pred(NSX8),sum(succ(NPX8),sum(pred(NSY8),succ(NPY8))))
& X10 = sum(sum(pred(X9),succ(Y9)),sum(pred(Y9),succ(X9)))
& Y10 = sum(pred(NSX9),sum(succ(NPX9),sum(pred(NSY9),succ(NPY9))))
& X11 = sum(sum(pred(X10),succ(Y10)),sum(pred(Y10),succ(X10)))
& Y11 = sum(pred(NSX10),sum(succ(NPX10),sum(pred(NSY10),succ(NPY10))))
& X12 = sum(sum(pred(X11),succ(Y11)),sum(pred(Y11),succ(X11)))
& Y12 = sum(pred(NSX11),sum(succ(NPX11),sum(pred(NSY11),succ(NPY11))))
& X13 = sum(sum(pred(X12),succ(Y12)),sum(pred(Y12),succ(X12)))
& Y13 = sum(pred(NSX12),sum(succ(NPX12),sum(pred(NSY12),succ(NPY12))))
& X14 = sum(sum(pred(X13),succ(Y13)),sum(pred(Y13),succ(X13)))
& Y14 = sum(pred(NSX13),sum(succ(NPX13),sum(pred(NSY13),succ(NPY13))))
& X15 = sum(sum(pred(X14),succ(Y14)),sum(pred(Y14),succ(X14)))
& Y15 = sum(pred(NSX14),sum(succ(NPX14),sum(pred(NSY14),succ(NPY14))))
& X16 = sum(sum(pred(X15),succ(Y15)),sum(pred(Y15),succ(X15)))
& Y16 = sum(pred(NSX15),sum(succ(NPX15),sum(pred(NSY15),succ(NPY15))))
& X17 = sum(sum(pred(X16),succ(Y16)),sum(pred(Y16),succ(X16)))
& Y17 = sum(pred(NSX16),sum(succ(NPX16),sum(pred(NSY16),succ(NPY16))))
& X18 = sum(sum(pred(X17),succ(Y17)),sum(pred(Y17),succ(X17)))
& Y18 = sum(pred(NSX17),sum(succ(NPX17),sum(pred(NSY17),succ(NPY17))))
& X19 = sum(sum(pred(X18),succ(Y18)),sum(pred(Y18),succ(X18)))
& Y19 = sum(pred(NSX18),sum(succ(NPX18),sum(pred(NSY18),succ(NPY18))))
& X20 = sum(sum(pred(X19),succ(Y19)),sum(pred(Y19),succ(X19)))
& Y20 = sum(pred(NSX19),sum(succ(NPX19),sum(pred(NSY19),succ(NPY19))))
& ( X17 != Y17
| X18 != Y18
| X19 != Y19
| X20 != Y20 )
& n0 != n1
& n0 != n2
& n0 != n3
& n0 != n4
& n0 != n5
& n0 != n6
& n0 != n7
& n0 != n8
& n0 != n9
& n0 != n10
& n0 != n11
& n0 != n12
& n0 != n13
& n0 != n14
& n0 != n15
& n0 != n16
& n0 != n17
& n0 != n18
& n0 != n19
& n0 != n20
& n1 != n2
& n1 != n3
& n1 != n4
& n1 != n5
& n1 != n6
& n1 != n7
& n1 != n8
& n1 != n9
& n1 != n10
& n1 != n11
& n1 != n12
& n1 != n13
& n1 != n14
& n1 != n15
& n1 != n16
& n1 != n17
& n1 != n18
& n1 != n19
& n1 != n20
& n2 != n3
& n2 != n4
& n2 != n5
& n2 != n6
& n2 != n7
& n2 != n8
& n2 != n9
& n2 != n10
& n2 != n11
& n2 != n12
& n2 != n13
& n2 != n14
& n2 != n15
& n2 != n16
& n2 != n17
& n2 != n18
& n2 != n19
& n2 != n20
& n3 != n4
& n3 != n5
& n3 != n6
& n3 != n7
& n3 != n8
& n3 != n9
& n3 != n10
& n3 != n11
& n3 != n12
& n3 != n13
& n3 != n14
& n3 != n15
& n3 != n16
& n3 != n17
& n3 != n18
& n3 != n19
& n3 != n20
& n4 != n5
& n4 != n6
& n4 != n7
& n4 != n8
& n4 != n9
& n4 != n10
& n4 != n11
& n4 != n12
& n4 != n13
& n4 != n14
& n4 != n15
& n4 != n16
& n4 != n17
& n4 != n18
& n4 != n19
& n4 != n20
& n5 != n6
& n5 != n7
& n5 != n8
& n5 != n9
& n5 != n10
& n5 != n11
& n5 != n12
& n5 != n13
& n5 != n14
& n5 != n15
& n5 != n16
& n5 != n17
& n5 != n18
& n5 != n19
& n5 != n20
& n6 != n7
& n6 != n8
& n6 != n9
& n6 != n10
& n6 != n11
& n6 != n12
& n6 != n13
& n6 != n14
& n6 != n15
& n6 != n16
& n6 != n17
& n6 != n18
& n6 != n19
& n6 != n20
& n7 != n8
& n7 != n9
& n7 != n10
& n7 != n11
& n7 != n12
& n7 != n13
& n7 != n14
& n7 != n15
& n7 != n16
& n7 != n17
& n7 != n18
& n7 != n19
& n7 != n20
& n8 != n9
& n8 != n10
& n8 != n11
& n8 != n12
& n8 != n13
& n8 != n14
& n8 != n15
& n8 != n16
& n8 != n17
& n8 != n18
& n8 != n19
& n8 != n20
& n9 != n10
& n9 != n11
& n9 != n12
& n9 != n13
& n9 != n14
& n9 != n15
& n9 != n16
& n9 != n17
& n9 != n18
& n9 != n19
& n9 != n20
& n10 != n11
& n10 != n12
& n10 != n13
& n10 != n14
& n10 != n15
& n10 != n16
& n10 != n17
& n10 != n18
& n10 != n19
& n10 != n20
& n11 != n12
& n11 != n13
& n11 != n14
& n11 != n15
& n11 != n16
& n11 != n17
& n11 != n18
& n11 != n19
& n11 != n20
& n12 != n13
& n12 != n14
& n12 != n15
& n12 != n16
& n12 != n17
& n12 != n18
& n12 != n19
& n12 != n20
& n13 != n14
& n13 != n15
& n13 != n16
& n13 != n17
& n13 != n18
& n13 != n19
& n13 != n20
& n14 != n15
& n14 != n16
& n14 != n17
& n14 != n18
& n14 != n19
& n14 != n20
& n15 != n16
& n15 != n17
& n15 != n18
& n15 != n19
& n15 != n20
& n16 != n17
& n16 != n18
& n16 != n19
& n16 != n20
& n17 != n18
& n17 != n19
& n17 != n20
& n18 != n19
& n18 != n20
& n19 != n20 ) ).